<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">GMD</journal-id><journal-title-group>
    <journal-title>Geoscientific Model Development</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GMD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geosci. Model Dev.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1991-9603</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/gmd-12-849-2019</article-id><title-group><article-title>Mechanistic representation of soil nitrogen emissions in the Community
Multiscale Air Quality (CMAQ) model v 5.1</article-title><alt-title>Mechanistic representation of soil nitrogen emissions </alt-title>
      </title-group><?xmltex \runningtitle{Mechanistic representation of soil nitrogen emissions }?><?xmltex \runningauthor{Q. Z. Rasool et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff3">
          <name><surname>Rasool</surname><given-names>Quazi Z.</given-names></name>
          <email>qzr1@email.unc.edu</email>
        <ext-link>https://orcid.org/0000-0001-6274-6236</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bash</surname><given-names>Jesse O.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8736-0102</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Cohan</surname><given-names>Daniel S.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Civil and Environmental Engineering, Rice
University, Houston, Texas, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Computational Exposure Division, National Exposure
Research Laboratory, Office of Research and Development, <?xmltex \hack{\break}?>
US Environmental
Protection Agency, RTP, NC, USA</institution>
        </aff>
        <aff id="aff3"><label>a</label><institution>currently at: Department of Environmental Science and Engineering, UNC-Chapel Hill, NC, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Quazi Z. Rasool (qzr1@email.unc.edu)</corresp></author-notes><pub-date><day>27</day><month>February</month><year>2019</year></pub-date>
      
      <volume>12</volume>
      <issue>2</issue>
      <fpage>849</fpage><lpage>878</lpage>
      <history>
        <date date-type="received"><day>31</day><month>October</month><year>2018</year></date>
           <date date-type="rev-request"><day>13</day><month>November</month><year>2018</year></date>
           <date date-type="rev-recd"><day>7</day><month>February</month><year>2019</year></date>
           <date date-type="accepted"><day>11</day><month>February</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 Quazi Z. Rasool et al.</copyright-statement>
        <copyright-year>2019</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019.html">This article is available from https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e113">Soils are important sources of emissions of nitrogen-containing (N-containing) gases
such as nitric oxide (NO), nitrous acid (HONO), nitrous oxide (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>),
and ammonia (<inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). However, most contemporary air quality models lack a
mechanistic representation of the biogeochemical processes that form these
gases. They typically use heavily parameterized equations to simulate
emissions of NO independently from <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and do not quantify emissions
of HONO or <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. This study introduces a mechanistic, process-oriented
representation of soil emissions of N species (NO, HONO, <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) that we have recently implemented in the Community Multiscale Air
Quality (CMAQ) model. The mechanistic scheme accounts for biogeochemical
processes for soil N transformations such as mineralization, volatilization,
nitrification, and denitrification. The rates of these processes are
influenced by soil parameters, meteorology, land use, and mineral N
availability. We account for spatial heterogeneity in soil conditions and
biome types by using a global dataset for soil carbon (C) and N across
terrestrial ecosystems to estimate daily mineral N availability in
nonagricultural soils, which was not accounted for in earlier parameterizations
for soil NO. Our mechanistic scheme also uses daily year-specific fertilizer
use estimates from the Environmental Policy Integrated Climate (EPIC v0509)
agricultural model. A soil map with sub-grid biome definitions was used to
represent conditions over the continental United States. CMAQ modeling for
May and July 2011 shows improvement in model performance in simulated
<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns compared to Ozone Monitoring Instrument (OMI) satellite
retrievals for regions where soils are the dominant source of NO emissions.
We also assess how the new scheme affects model performance for <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), fine nitrate (<inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) particulate matter, and ozone
observed by various ground-based monitoring networks. Soil NO emissions in
the new mechanistic scheme tend to fall between the magnitudes of the
previous parametric schemes and display much more spatial heterogeneity. The
new mechanistic scheme also accounts for soil HONO, which had been ignored
by parametric schemes.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e244">Global food production and fertilizer use are projected to double in this
half-century in order to meet the demand from growing populations (Frink et
al., 1999; Tilman et al., 2001). Increasing nitrogen (N) fertilization to
meet food demand has been accompanied by increasing soil N emissions across
the globe, including in the United States (Davidson et al., 2012). N
fertilizer consumption globally increased from 0.9 to 7.4 g N per
m<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cropland yr<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> between 1961 and 2013, with the US still among
the top five N fertilizer users in the world (Lu and Tian, 2017). US N
fertilizer use increased from 0.28 to 9.54 g N m<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during
1940 to 2015. In the past century, hotspots of N fertilizer use have shifted
from the southeastern and eastern US to the Midwest and the Great Plains
comprising the Corn Belt region (Cao et al., 2017). Recent studies have
pointed to soils as a significant source of <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, contributing
<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> % to the total budget globally and larger fractions
over heavily fertilized<?pagebreak page850?> agricultural regions (Jaeglé et al., 2005;
Vinken et al., 2014; Wang et al., 2017).</p>
      <p id="d1e317">Despite the significance of <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions generated by soil microbes,
policies both globally and for the continental US (CONUS) have focused largely on limiting mobile
and point fossil fuel sources of <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Li et al., 2016). Hence, it is
incumbent to strategize for the reduction of non-point soil sources of <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
emissions, especially in agricultural areas. Recent studies have shown
higher soil <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, even in nonagricultural areas like forests, to
significantly impact summertime ozone in CONUS (Hickman et al., 2010; Travis
et al., 2016). Consequently, it is increasingly important to estimate both
N-fertilizer-induced and nonagricultural <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions in
air quality models.</p>
      <p id="d1e387">Soil NO emissions tend to peak in the summertime, when they can contribute
15 %–40 % of the total tropospheric <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column in the continental
CONUS (Williams et al., 1992; Hudman et al., 2012; Rasool et al., 2016).
Summer is also the peak season for ozone concentrations (Cooper et al.,
2014; Strode et al., 2015) and the time when photochemistry is most
sensitive to <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Simon et al., 2014). N oxides (<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M26" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M28" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) worsen air quality and threaten human health directly and by
contributing to the formation of other pollutants. <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> drives the
formation of tropospheric ozone and contributes to a significant fraction of
both inorganic and organic particulate matter (PM) (Seinfeld and Pandis,
2012; Wang et al., 2013). Global emissions of <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are responsible for
one in eight premature deaths worldwide as reported by the World Health
Organization (Neira, 2014). The premature deaths are a result of the
link of these pollutants to cardiovascular and chronically obstructive
pulmonary (COPD) diseases, asthma, cancer, birth defects, and sudden infant
death syndrome. These adverse health impacts have been shown to worsen with
the rising rate of reactive N emissions from soil N cycling (Kampa and
Castanas, 2008; Townsend et al., 2003). <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> indirectly impacts Earth's
radiative balance by modulating concentrations of OH radicals, the dominant
oxidant of certain greenhouse gases such as methane (IPCC, 2013; Steinkamp
and Lawrence, 2011). Nitrous acid (HONO) upon photolysis releases OH
radicals along with NO, driving tropospheric ozone and secondary aerosol
formation (Pusede et al., 2012). Soils and agriculture are the leading
emitters of <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, a potent greenhouse gas (IPCC, 2013).</p>
      <p id="d1e503">Ammonia (<inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) also contributes to a large fraction of airborne fine
particulate matter (PM<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) (Kwok et al., 2013). Elevated levels of
PM<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> are linked to various adverse cardiovascular ailments, such as
irregular heartbeat and aggravated asthma, that cause premature death (Pope
et al., 2009) and contribute to visibility impairment through haze (Wang et
al., 2012). <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gaseous emissions also influence the nucleation of new
particles (Holmes, 2007). Air quality models such as the Community Multiscale
Air Quality (CMAQ) model and GEOS-Chem represent bidirectional <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
exchange between the atmosphere and soil–vegetation, analyzed under varied
soil, vegetative, and environmental conditions (Cooter et al., 2012; Bash et
al., 2013; Zhu et al., 2015).</p>
      <p id="d1e558"><inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HONO, and <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are produced from both microbial and
physicochemical processes in soil N cycling, predominantly nitrification and
denitrification (Medinets et al., 2015; Parton et al., 2001; Pilegaard,
2013; Su et al., 2011). Nitrification is the oxidation of <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> whereby intermediate species such as NO and HONO are emitted
along with relatively small amounts of <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> as byproducts.
Denitrification is the reduction of soil <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; it produces some
NO, but predominantly produces <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Firestone and Davidson,
1989; Gödde and Conrad, 2000; Laville et al., 2011; Medinets et al.,
2015). The fraction of N emitted as NO and HONO relative to <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
throughout nitrification and denitrification depends on several factors:
soil temperature; water filled pore space (WFPS), which in turn depends on
soil texture and soil water content; gas diffusivity; and soil pH. HONO is
produced during nitrification only and is a source of NO and OH after
undergoing photolysis (Butterbach-Bahl et al., 2013; Conrad, 2002; Ludwig et
al., 2001; Oswald et al., 2013; Parton et al., 2001;
Venterea and Rolston,
2000).</p>
      <p id="d1e685">Whether <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> becomes dominant during denitrification depends
on the availability of soil <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> relative to available carbon (C),
WFPS, soil gas diffusivity, and bulk density (i.e., dry weight
of soil divided by its volume, indicating soil compaction and/or aeration by
<inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Denitrification rates are quite low even at high soil N
concentrations if available soil C is absent. However, the presence of high
<inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations with sufficient available C is the inhibiting factor
for the conversion of <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, keeping <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions dominant
during denitrification (Weier et al., 1993; Del Grosso et al., 2000).
Denitrification <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions are also found to increase with a
decrease in soil pH in the range of 4.0 to 8.0 generally (Liu et al., 2010).
Fertilizer application and wet and dry deposition add to the soil <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pools, which undergo transformation to emit soil N as
intermediates of nitrification and denitrification (Kesik et al., 2006; Liu
et al., 2006; Redding et al., 2016; Schindlbacher et al., 2004).</p>
      <p id="d1e820">Soil moisture content is the strongest determinant of nitrification and
denitrification rates and the relative proportions of various N gases
emitted by each. Increasing soil water content due to wetting events such as
irrigation and rainfall can stimulate nitrification and denitrification.
Nitrification rates peak 2–3 days after wetting, when excess water has
drained away and the rate of downward water movement has decreased.
Denitrification rates substantially increase and nitrification rates become
much slower in wetter soils. This is also influenced by soil texture; for
instance, denitrification is favored in poorly drained clay soils and
nitrification is favored in freely draining sandy soils (Barton et al.,
1999; Parton et al., 2001).</p>
      <?pagebreak page851?><p id="d1e823">WFPS is a metric that incorporates the above factors. The relative proportions
of NO, HONO, and <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emitted vary with WFPS. Dry aerobic conditions
(WFPS <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> %–55 %) are optimal for nitrification, with soil NO
dominating soil N gas emissions at WFPS <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> %–55 % (Davidson
and Verchot, 2000; Parton et al., 2001). HONO emissions have been observed
up to WFPS of 40 % and dominate N gas emissions under very dry and acidic
soil conditions (Maljanen et al., 2013; Mamtimin et al., 2016; Oswald et
al., 2013;  Su et al., 2011). Nitrification influences <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production
within the range of 30 %–70 % WFPS, whereas denitrification dominates
<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production in wetter soils. Denitrification <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is limited by
lower WFPS in spite of sufficient available <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and C
(Butterbach-Bahl et al., 2013; Del Grosso et al., 2000; Hu et al., 2015;
Medinets et al., 2015; Weier et al., 1993). As a result, NO and HONO
emissions tend to decrease with increasing water content, whereas <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
emissions increase subject to available <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and C (Parton et al.,
2001; Oswald et al., 2013).</p>
      <p id="d1e938">Extended dry periods also suppress soil NO emissions by limiting substrate
diffusion while water-stressed nitrifying bacteria remain dormant, allowing
N substrate (<inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> or organic N) to accumulate (Davidson, 1992;
Jaeglé et al., 2004; Hudman et al., 2010; Scholes et al., 1997).
Rewetting of soil by rain reactivates these microbes, enabling them to
metabolize accumulated N substrate (Homyak et al., 2016). The resulting NO
pulses can be 10–100 times background emission rates and typically last for
1–2 days (Yienger and Levy, 1995; Hudman et al., 2012; Leitner et al.,
2017).</p>
      <p id="d1e954">Higher soil temperature is critical in increasing NO emission during
nitrification under dry conditions. However, <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> generated in
denitrification positively correlates with soil temperature only when WFPS
and N substrate availability in soil are not the limiting factors (Machefert
et al., 2002; Robertson and Groffman, 2007). Recently, a nearly 38 %
increase in NO emitted was observed under dry conditions (<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> %–35 % WFPS) in California agricultural soils when soil temperatures
rose from 30–35 to 35–40 <inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Oikawa et al., 2015).
Temperature-dependent soil <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions may strongly contribute to the
sensitivity of ozone to rising temperatures
(Romer et al., 2018). Also, some
soil NO is converted to <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and deposited to the plant canopy, reducing
the amount of <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> entering the atmosphere (Ludwig et al., 2001).</p>
      <p id="d1e1024">Mechanistic models of soil N emissions already exist and are used in the
Earth science and soil biogeochemical modeling community (Del Grosso et al.,
2000; Manzoni and Porporato, 2009; Parton et al., 2001). However,
photochemical models like CMAQ have been using a mechanistic approach only
for <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, while using simpler parametric approaches for NO (Bash et
al., 2013; Rasool et al., 2016). Other N oxide emissions like HONO and
<inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are absent from the parametric schemes used in CMAQ
(Butterbach-Bahl et al., 2013; Heil et al., 2016; Su et al., 2011).
Variability in soil physicochemical properties like pH, temperature, and
moisture, along with nutrient availability, strongly control the spatial and
temporal trends of soil N compounds (Medinets et al., 2015; Pilegaard, 2013).</p>
      <p id="d1e1051">The U.S. Environmental Protection Agency (EPA) Air Pollutant Emissions Trends Data show that anthropogenic sources of
<inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (excluding fertilizers) fell by 60 % in the US since
1980, heightening the relative importance of soils. Area sources of
<inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> like soils, along with less than expected reduction in
off-road anthropogenic sources, are believed to have contributed to a slowdown
in US <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reductions from 2011–2016 (Jiang et al., 2018).
Hence, accurate and consistent representation of soil N is needed to address
uncertainties in their estimates.</p>
      <p id="d1e1087">The parameterized schemes currently implemented in CMAQ for CONUS, like
Yienger–Levy (YL) and the Berkeley–Dalhousie Soil <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> Parameterization
(BDSNP),
consider only NO expressed as a fraction of total soil N available, without
differentiating the fraction of soil N that occurs as organic N,
<inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, or <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Hudman et al., 2012; Rasool et al., 2016;
Yienger and Levy, 1995). Moreover, these parametric schemes classify soil NO
emissions as constant factors for different nonagricultural
biomes or ecosystems compiled from reported literature and field estimates
worldwide (Davidson and Kingerlee, 1997; Steinkamp and Lawrence, 2011;
Yienger and Levy, 1995). These emission factors account for the baseline
biogenic <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions in addition to sources from
deposition (all biomes) and fertilizer (agricultural land cover only) in the
latest BDSNP parameterization (Hudman et al., 2012; Rasool et al., 2016).
Despite their limitations, parameterized schemes do distinguish which biomes
exhibit low NO emissions (wetlands, tundra, and temperate or boreal forests)
from those producing high soil NO (grasslands, tropical savanna or woodland,
and agricultural fields) (Kottek et al., 2006; Rasool et al., 2016; Steinkamp
and Lawrence, 2011).</p>
      <p id="d1e1134">The EPA recently coupled CMAQ with
the U.S. Department of Agriculture (USDA) Environmental Policy Integrated
Climate (EPIC) agroecosystem model. This integrated EPIC–CMAQ framework
accounts for a process-based approach for <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by modeling its
bidirectional exchange (Nemitz et al., 2001;
Cooter et al., 2010; Pleim et
al., 2013). The coupled model uses EPIC to simulate fertilizer application
rate, timing, and composition. Then, CMAQ estimates the spatial and temporal
trends of the soil ammonium (<inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) pool by tracking the ammonium
mass balance throughout processes like fertilization, volatilization,
deposition, and nitrification (Bash et al., 2013). Using the EPIC-derived
soil N pool better represents the seasonal dynamics of fertilizer-induced N
emissions across CONUS (Cooter et al., 2012). The coupling with EPIC reduces
CMAQ's error and bias in simulating total <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M88" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
wet deposition flux and ammonium-related aerosol concentrations (Bash et al.,
2013). The BDSNP parametric scheme implemented in CMAQ also uses the daily soil N
pool from EPIC (Rasool et al., 2016).</p>
      <p id="d1e1192">Our work builds a new mechanistic approach for modeling soil N emissions in
CMAQ based on the DayCENT (Daily version of CENTURY model) biogeochemical scheme
(Del<?pagebreak page852?> Grosso et al., 2000; Parton et al., 2001), integrating nitrification and
denitrification mechanistic processes that generate NO, HONO, <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> under different soil conditions and meteorology. We compare
the NO and HONO emissions estimates and associated estimates of tropospheric
<inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column, ozone, and PM<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> with those obtained from CMAQ
using the YL and BDSNP parametric schemes. For agricultural biomes, our
mechanistic scheme uses daily soil N pools from the same EPIC simulations as
in Rasool et al. (2016). Unlike BDSNP, which uses a total weighted soil N,
the new mechanistic model tracks different forms of soil N as <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and organic N for different soil layers and vegetation types
so that nitrification and denitrification can be represented. For
nonagricultural biomes, our new mechanistic scheme uses a global soil
nutrient dataset in an updated C and N mineralization framework. This enables
the model to track the conversion of organic soil N to <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pools on a daily scale for nonagricultural soils.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <title>Overview of soil N schemes</title>
      <p id="d1e1295">Key features of the YL and BDSNP parametric soil NO schemes and our new
mechanistic scheme for soil NO, HONO, and <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are illustrated in
Fig. 1 and Table 1.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d1e1313">Flowchart of the <bold>(a)</bold> Yienger and Levy (1995) (YL),
<bold>(b)</bold> Berkley–Dalhousie Soil <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> Parameterization
(BDSNP), and <bold>(c)</bold> mechanistic schemes for soil nitrogen (N) emissions
as implemented in CMAQ.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f01.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><label>Table 1</label><caption><p id="d1e1345">Comparison of approaches of the parametric and mechanistic soil N
emissions models.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="113.811024pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="113.811024pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="113.811024pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="113.811024pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">YL parametric model</oasis:entry>
         <oasis:entry colname="col3">BDSNP parametric model</oasis:entry>
         <oasis:entry colname="col4">Mechanistic model</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Approach</oasis:entry>
         <oasis:entry colname="col2">Yienger and Levy equations for NO</oasis:entry>
         <oasis:entry colname="col3">Hudman et al. (2012) equations for NO</oasis:entry>
         <oasis:entry colname="col4">DayCENT sub-model representing nitrification, denitrification, and mineralization for NO, HONO, and <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Species emitted or output</oasis:entry>
         <oasis:entry colname="col2">NO</oasis:entry>
         <oasis:entry colname="col3">NO</oasis:entry>
         <oasis:entry colname="col4">NO, HONO, <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Biome or land use classification</oasis:entry>
         <oasis:entry colname="col2">CMAQ default NLCD40</oasis:entry>
         <oasis:entry colname="col3">Sub-grid biome classification; <?xmltex \hack{\hfill\break}?>MODIS 24 mapped from NLCD40</oasis:entry>
         <oasis:entry colname="col4">Sub-grid biome classification from NLCD40</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Soil N data source</oasis:entry>
         <oasis:entry colname="col2">Fertilizer N in growing season wet emission factor</oasis:entry>
         <oasis:entry colname="col3">EPIC (fertilizer N <inline-formula><mml:math id="M103" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>deposition (wet and dry) N from CMAQ)</oasis:entry>
         <oasis:entry colname="col4">EPIC (fertilizer N <inline-formula><mml:math id="M104" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>deposition (wet and dry) N from CMAQ); Xu et al. (2015) for nonagricultural soil</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Agricultural biome</oasis:entry>
         <oasis:entry colname="col2">Biome-specific NO emission factors</oasis:entry>
         <oasis:entry colname="col3">NO emissions derived from total EPIC N</oasis:entry>
         <oasis:entry colname="col4">EPIC C and N pools used in DayCENT scheme nitrification NO, HONO, and <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>; <?xmltex \hack{\hfill\break}?>denitrification NO and <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Nonagricultural biome</oasis:entry>
         <oasis:entry colname="col2">Biome-specific NO emission factors</oasis:entry>
         <oasis:entry colname="col3">Biome-specific NO emission factors</oasis:entry>
         <oasis:entry colname="col4">Schimel and Weintraub equations for N and C pools used in DayCENT to derive nitrification and denitrification emissions</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variables considered</oasis:entry>
         <oasis:entry colname="col2">Soil <inline-formula><mml:math id="M107" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, rainfall, and biome type</oasis:entry>
         <oasis:entry colname="col3">Total soil N, soil <inline-formula><mml:math id="M108" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, soil moisture, rainfall, and biome type</oasis:entry>
         <oasis:entry colname="col4">Soil water content (irrigated and unirrigated), <inline-formula><mml:math id="M109" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, gas diffusivity, and labile C by soil layer</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Pulsing</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced open="(" close=")"><mml:mtext>precipitation</mml:mtext></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>, with exponential decay with change in soil moisture</oasis:entry>
         <oasis:entry colname="col4">Same as BDSNP</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CRF</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mtext>LAI, SAI</mml:mtext></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced open="(" close=")"><mml:mtext>LAI,  meteorology, biome</mml:mtext></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Same as BDSNP</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1689">The YL scheme, based on Yienger and Levy (1995), parameterizes soil NO
emission (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">YL</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, in ng N m<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in
Eq. (1) as a function of biome-specific emission factors (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
and soil temperature (<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M121" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">YL</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mfrac><mml:mi mathvariant="normal">w</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:mfrac></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">biome</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">w</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mtext>precipitation</mml:mtext></mml:mfenced><mml:mtext>CRF</mml:mtext><mml:mfenced close=")" open="("><mml:mrow><mml:mtext>LAI</mml:mtext><mml:mo>,</mml:mo><mml:mtext>SAI</mml:mtext></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The emissions factor depends on whether the soil is wet (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">biome</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) or dry
(<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi mathvariant="normal">biome</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), with the wet factor used when rainfall exceeds
1 cm in the prior 2 weeks. For dry soils, YL assumes NO emissions exhibit a
small and linear response to increasing soil temperatures. For wet soils,
soil NO is zero for frozen conditions, increases linearly from 0 to
10 <inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and increases exponentially from 10 to 30 <inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, after
which it is constant. In agricultural regions, YL assumes wet conditions
throughout the growing season (May–September) and assumes 2.5 % of the
fertilizer applied N is emitted as NO, in addition to a baseline NO emissions
rate based on grasslands. The pulsing term (<inline-formula><mml:math id="M126" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(precipitation)) is applied if
precipitation follows at least two dry weeks. The canopy reduction factor
(CRF) is set as a function of leaf area index (LAI) and stomatal area index
(SAI).</p>
      <p id="d1e1894">The Biogenic Emissions Inventory System (BEIS v3.61 used in current versions of
CMAQ v5.0.2 or higher) estimates NO emissions from soils essentially using
the same original YL algorithm as in Eq. (1), with slight updates accounting
for soil moisture, crop canopy coverage, and fertilizer application. The YL
soil NO algorithm in CMAQ distinguishes between agricultural and
nonagricultural land use types (Pouliot and Pierce, 2009). Adjustments due to
temperature, precipitation (pulsing), fertilizer application, and canopy
uptake are limited to the growing season, assumed as 1 April to 31 October,
and are restricted to agricultural areas as defined by the Biogenic Emissions
Landuse Database (BELD). Unlike the original YL, the implementation of YL in
CMAQ (CMAQ-YL) interpolates between wet and dry conditions based on soil
moisture in the top layer (1 cm). In this study, we use the Pleim–Xiu Land
Surface Model (PX-LSM) in CMAQ to compute soil temperature
(<inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and soil moisture (<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e1919">Agricultural soil NO emissions are based on the baseline grassland NO
emission (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">grassland</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) plus an additional factor (fertilizer<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) that starts at its peak value during the first month of the growing
season and declines linearly to zero at the end of the growing season. The
growing season is defined as April–October in CMAQ-YL, rather than being
allowed to vary by latitude (original YL) or by a satellite-driven analysis
of vegetation (original BDSNP). A summary of the modified YL algorithm is
presented below for growing season agricultural emissions (Eq. 2).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M131" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mi mathvariant="normal">CMAQ</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">YL</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext>agricultural growing season</mml:mtext><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">grassland</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mtext>fertilizer</mml:mtext><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mtext>precipitation</mml:mtext></mml:mfenced><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">LAI</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">SAI</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <?pagebreak page855?><p id="d1e2036">For the nongrowing season or nonagricultural areas throughout the year, soil NO
emissions are assumed to depend only on temperature and the base emissions
for different biomes (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) as provided in BEIS. CMAQ still
uses the base emission for both agricultural and nonagricultural land types
with adjustments based solely on air temperature (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air, in K</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) as
done in BEIS (Eq. 3). However, for the sake of simplicity we refer to “CMAQ-YL”
merely as “YL”.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M134" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mi mathvariant="normal">CMAQ</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">YL</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext>nonagricultural or nongrowing
season</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">0.04686</mml:mn><mml:mo>⋅</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.30579</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The original implementation of the BDSNP scheme in CMAQ v5.0.2
was described by Rasool et al. (2016). Here, we update that code for
CMAQv5.1, but the formulation remains the same. Soil NO emissions,
<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, are computed in Eq. (4) as the product of biome-specific
emission rates <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">avail</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
adjustment factors to represent the influence of ambient conditions. The
biome-specific emission rates have background soil NO for 24 MODIS biome
types from the literature (Stehfest and Bouwman, 2006; Steinkamp and Lawrence,
2011). Fertilizer and deposition emission rates based on an exponential decay
after the input of fertilizer and deposition N are added to background soil NO
emission rates for respective biomes. BDSNP accounts for total N from
fertilizer and deposition obtained from EPIC. EPIC provides the N available
from the crop-specific fertilizer soil N pool in different forms as
<inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and organic N. A final weighted total soil N
pool is used by weighting the different N forms by the fraction of each crop
type in each modeling grid. The soil temperature response
<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is an exponential function of temperature (in K). Unlike
YL that depends solely on rainfall, BDSNP has a Poisson function <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">θ</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> based on soil moisture (<inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>) that increases smoothly
first until a maximum and then decreases when soil becomes water-saturated.
BDSNP also differentiates between wet and dry soil conditions and provides
a more detailed representation than YL of pulsing following precipitation and
of the CRF (described in Sect. 2.5).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M142" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">BDSNP</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">avail</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mi>T</mml:mi></mml:mfenced><mml:mi>g</mml:mi><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">θ</mml:mi></mml:mfenced><mml:mi>P</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">LAI</mml:mi><mml:mo>,</mml:mo><mml:mtext>meteorology</mml:mtext><mml:mo>,</mml:mo><mml:mtext>biome</mml:mtext></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Our new mechanistic scheme computes soil emissions of NO, HONO, and <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> by specifically representing
both nitrification and denitrification. Equations (5)–(7) provide an
overview of the mechanistic formulation. All functions are described in
greater detail in Sect. 2.6.4. In the equations, the pulsing factor <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> follows the formulation of Rasool et al. (2016). The
canopy reduction factor <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mtext>CRF</mml:mtext><mml:mfenced close=")" open="("><mml:mrow><mml:mtext>LAI</mml:mtext><mml:mo>,</mml:mo><mml:mtext>meteorology</mml:mtext><mml:mo>,</mml:mo><mml:mtext>biome</mml:mtext></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> is described in Sect. 2.5. Briefly, we note that
nitrification rates (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. 24, <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) depend on the available <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pool,
soil temperature (<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), soil moisture (<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>),
gas diffusivity (Dr), and pH adjustment factors. Meanwhile, denitrification
rates (<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. (25), kg N ha<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) depend on the available <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pool, relative
availability of <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to C, soil temperature, gas diffusivity, and
soil moisture adjustment factors.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M156" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.2}{9.2}\selectfont$\displaystyle}?><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable><?xmltex \hack{$\egroup}?></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced close=")" open="("><mml:mtext>LAI, meteorology, biome</mml:mtext></mml:mfenced><mml:mo>≡</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Dr</mml:mi><mml:mo>,</mml:mo><mml:mtext>pH</mml:mtext></mml:mrow></mml:mfenced><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Dr</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced open="(" close=")"><mml:mtext>LAI, meteorology, biome</mml:mtext></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mi>f</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SWC</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced open="(" close=")"><mml:mtext>LAI, meteorology, biome</mml:mtext></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>≡</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mi>f</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Dr</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">pH</mml:mi></mml:mrow></mml:mfenced><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SWC</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced close=")" open="("><mml:mtext>LAI, meteorology, biome</mml:mtext></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfrac></mml:mstyle></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>≡</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mfenced open="(" close=")"><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Dr</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">pH</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Dr</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            In all our simulations, soil <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission is calculated based on
the bidirectional exchange scheme (Bash et al., 2013) in CMAQ.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Biome classification over CONUS</title>
      <p id="d1e2960">CMAQ uses the National Land Cover Database with 40 classifications (NLCD40;
<uri>https://www.mrlc.gov/</uri>, last access: 22 February 2019) to
represent land cover, which is used by the YL parametric scheme. However,
Steinkamp and Lawrence (2011) provide soil NO emission factors
(<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mi mathvariant="normal">biome</mml:mi><mml:mo>′</mml:mo></mml:msubsup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">avail</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for only 24 MODIS biomes
in the BDSNP parametric scheme. Thus, the initial implementation of BDSNP in
CMAQ by Rasool et al. (2016) introduced a mapping between the MODIS 24 and NLCD40
biomes to set an emission factor for each NLCD40 biome type (see Appendix
Table A2). Factors were then adjusted using Köppen climate zone
classifications (Kottek et al., 2006). Whereas the original implementation of
BDSNP by Rasool et al. (2016) treated each grid cell based on its most
prevalent biome type, our update of BDSNP for CMAQv5.1 and our mechanistic
model use sub-grid biome classification, accounting for the fraction of each
biome type in each cell.</p>
      <p id="d1e2988">The latest Biogenic Emissions Landcover Database version 4 (BELD4), generated
using the BELD4 tool in the SA Raster Tools system, is used to represent land
cover types consistently across both the Fertilizer Emission Scenario Tool
for CMAQ (FEST-C v1.2;
<uri>https://www.cmascenter.org/fest-c/</uri>, last access: 22 February 2019) and the Weather Research and Forecast (WRF) meteorological model
(Skamarock et al., 2008) and CMAQ framework. BEIS v3.61 within CMAQ integrates
BELD4 with other data sources generated at 1 km resolution to provide
fractional crop and vegetation cover. US land use categories are based on the
2011 NLCD40 categories. FEST-C provides tree and crop percentage coverage for
194 tree classes and 42 crops
(<uri>https://www.cmascenter.org/sa-tools/documentation/4.2/Raster_Users_Guide_4_2.pdf</uri>, last access: 22 February 2019). For determining fractional crop cover, the 2011
NLCD–MODIS data were used for Canada and the US in the BELD4 data generation
tool of FEST-C. Tree species fractional coverage is based on 2011 Forest
Inventory and Analysis (FIA) version 5.1. MODIS satellite products are used
where detailed data are unavailable outside of the US.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>N fertilizer</title>
      <p id="d1e3003">The YL scheme set fertilizer-driven soil NO emissions to be proportional to
fertilizer application during a prescribed growing season: May–August for
the Northern Hemisphere and November–February for the Southern Hemisphere
(Yienger and Levy, 1995) or April–October for CMAQ-YL. Our implementations
of both the BDSNP parameterization and mechanistic soil N schemes into CMAQ are
designed to enable the use of year- and location-specific fertilizer data
with daily resolution. We use FEST-C to incorporate EPIC fertilizer
application data into our CMAQ runs. EPIC estimates daily fertilizer
application based entirely on simulated idealized plant demand, with N stress
and limitations in response to local soil and weather conditions, using
linkages with WRF via FEST-C. The FEST-C interface also ensures that EPIC
simulations are spatially consistent with CMAQ's CONUS domain and resolution
through the Spatial Allocator (SA) Raster Tools system
(<uri>http://www.cmascenter.org/sa-tools/</uri>, last access: 22 February 2019).</p>
      <p id="d1e3009">Because EPIC covers only the US, outside the US BDSNP uses fertilizer data
regridded from Hudman et al. (2012), which scaled Potter et al. (2010) data
for fertilizer N from 1994–2001 to global fertilizer levels in 2006. Our
mechanistic scheme uses a more recently compiled and speciated soil N and C
dataset for non-US agricultural regions, regridded from Xu et al. (2015).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>N deposition</title>
      <?pagebreak page856?><p id="d1e3018">N deposition serves as a significant addition to the soil mineral N
(inorganic <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi><mml:mo>:</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) pool and hence
influences soil N emissions. The YL scheme does not explicitly represent N
deposition but instead sets soil emissions based on biome type. In our
implementation of both the updated BDSNP and new mechanistic soil N schemes,
hourly wet and dry deposition rates for both reduced and oxidized forms of N,
computed within the CMAQ simulation, are added to the <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> soil pools.
<?xmltex \hack{\newpage}?></p>
</sec>
<sec id="Ch1.S2.SS5">
  <title>Canopy reduction factor (CRF)</title>
      <p id="d1e3085">CRF is used to calculate above-canopy NO and HONO, assuming that some
fraction of each is converted to <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and absorbed by leaves. Earlier
global-scale GEOS-Chem simulations with BDSNP had a monthly averaged CRF
that reduced total soil <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by an average of 16 % (Hudman et al.,
2012).</p>
      <p id="d1e3110">The original YL soil NO scheme (Yienger and Levy, 1995) and the in-line BEIS
in CMAQ set CRF as a function of LAI and SAI. Recently, implementations of
BDSNP in CMAQ and GEOS-Chem implemented CRF as a function of wind speed,
turbulence, and canopy structure (Geddes et al., 2016; Rasool et al., 2016;
Wang et al., 1998).</p>
      <p id="d1e3113">Here, we compute CRF using equations from Wang et al. (1998) for both the BDSNP
and new mechanistic scheme using spatially and temporally variable
land-surface parameters: surface (2 m) temperature, solar radiation
(W m<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), surface pressure, snow cover, wind speed (<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">wind</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>),
cloud fraction, canopy structure, vegetation coverage (LAI and canopy
resistances), gas diffusivity, and deposition coefficients. The final
reduction factor (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mi mathvariant="normal">CRF</mml:mi><mml:mo>(</mml:mo><mml:mtext>LAI, meteorology, biome</mml:mtext><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for primary
biogenic soil NO emissions is based on two main factors: bulk stomatal
resistance (<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Bulk</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the land-use-specific ventilation velocity of
NO (<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi mathvariant="normal">vent</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), calculated based on the parameters mentioned above
(Eq. 8).

                <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M170" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced close=")" open="("><mml:mtext>LAI, meteorology, biome</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Bulk</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Bulk</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi mathvariant="normal">vent</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          The ventilation velocity of NO (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi mathvariant="normal">vent</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) is
calculated by adjusting a normalized day- and night-specific velocity from
Wang et al. (1998): 10<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> m s<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
respectively. The adjustments are based on biome-specific LAI and canopy wind
extinction coefficients (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Biome</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>tropical rainforest</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
is the canopy wind extinction coefficient for tropical rainforests, the
biome on which most canopy uptake studies for <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are based
(Eq. 9).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M178" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi mathvariant="normal">vent</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi mathvariant="normal">vent</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mi mathvariant="normal">day</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">night</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:msqrt><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">wind</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">7</mml:mn><mml:mtext>LAI</mml:mtext></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>tropical rainforest</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">Biome</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Bulk</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is
a combination of various canopy resistances in series and parallel: internal
stomatal resistance, cuticle resistance, and aerodynamic resistance, which
have biome-specific normalized values for the MODIS 24 biomes also available
in the dry deposition scheme of CMAQ. These normalized values of individual
resistances are subsequently adjusted and dependent on multiple conditions
for solar radiation, surface temperature, pressure, deposition coefficients,
and the molecular diffusivity of <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in air. The calculation of
<inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Bulk</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> based on Wang et al. (1998) has been documented and shared
in the open-source BDSNP code repository (canopy_nox_mod.F) for the purpose
of reproducibility (available at
<uri>https://daac.ornl.gov/cgi-bin/dsviewer.pl?ds_id=_1351</uri>, last access: 22 February 2019).</p>
</sec>
<sec id="Ch1.S2.SS6">
  <title>Detailed description of the mechanistic soil N scheme</title>
<sec id="Ch1.S2.SS6.SSS1">
  <title>Overview</title>
      <p id="d1e3455">Our new mechanistic soil N model tracks the <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
organic C and N pools in soil separately, in contrast to the total N pool of
BDSNP, and estimates NO, HONO, and <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> rather than just NO
(Fig. 2). It uses DayCENT to represent both nitrification and denitrification.
For agricultural biomes, we use speciated N and C pools from EPIC to drive
DayCENT. For nonagricultural biomes, we use a C–N mineralization framework
(Manzoni and Porporato, 2009) to estimate the inorganic N and C pools for
DayCENT.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><label>Figure 2</label><caption><p id="d1e3495">Schematic for N transformation to estimate soil pools of ammonium
(<inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and nitrate (<inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and the resultant nitrification and
denitrification N emissions in the mechanistic model.</p></caption>
            <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f02.png"/>

          </fig>

      <p id="d1e3526">One of the advantages of using DayCENT is its ability to simulate all types
of terrestrial ecosystems. DayCENT is one of the only biogeochemical models
that not only provides a process-based representation of soil N emissions,
but has also been calibrated and validated across an array of conditions for
crop productivity, soil C, soil temperature and water content, <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>,
and soil <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Necpálová et al., 2015). Hence,
mechanistic models like DayCENT yield more reliable results by applying
validated controls of soil properties like soil temperature and moisture,
which are the key process controls to nitrification and denitrification. More
recent mechanistic models like DNDC, MicNit, ECOSYS, and COUPMODEL are quite
similar to DayCENT in their representation of the nitrification and
denitrification process. However, these models have not been as widely
evaluated and impose greater computational costs (Butterbach-Bahl et al.,
2013). DayCENT also enhances consistency in our mechanistic model by
utilizing the same C–N mineralization scheme (taken from the CENTURY model;
Parton et al., 2001) that is used in EPIC.</p>
      <p id="d1e3555">Most stand-alone applications of DayCENT and other mechanistic models have
focused on the biogeochemical, climate, and agricultural impacts of soil
emissions. Our linkage of DayCENT with CMAQ provides an opportunity for
the first time to estimate emissions of multiple soil N species through a
process-based approach and then assess their impact on atmospheric chemistry
in a regional photochemical model.</p>
</sec>
<sec id="Ch1.S2.SS6.SSS2">
  <title>Agricultural regions</title>
      <p id="d1e3564">In agricultural regions, we use EPIC to derive organic N, <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and C pools updated on a daily scale. EPIC follows the same
approach used in the CENTURY model (Parton et al., 1994), but uses an updated
crop growth model and better represents the effects of sorption on soil water
content that affect leaching losses and the surface-to-subsurface flow<?pagebreak page857?> of N. In
contrast, CENTURY used monthly water leached below 30 cm of soil depth, annual
precipitation, and the silt and clay content of soil (Izaurralde et al.,
2006).</p>
      <p id="d1e3589">In EPIC, organic N residues added to the agricultural soil surface or
belowground from plant or crop residues, roots, fertilizer, deposition, and
manure are split into two broad compartments: microbial or active biomass
and slow or passive humus. Slow or passive humus is essentially recalcitrant
and nonliving in nature with very slow turnover rates ranging from centuries
to even thousands of years and makes up most of the organic matter. N uptake
by soil microbes from organic matter, also called “microbial biomass” or
“microbial–active N”, is the living portion of the soil organic matter,
excluding plant roots and soil animals larger than <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>. Although microbial biomass constitutes a
small portion of organic matter (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> %), it is central in microbial
activity: in other words, the conversion of organic N to inorganic N (Cameron et al., 2013;  Manzoni and Porporato, 2009). The transformation rate of organic
N to microbial N is controlled by the relative C and N content in microbial
biomass, soil temperature and water content, soil silt and clay content,
organic residue composition enhanced by tillage in agricultural soil, bulk
density, oxygen content, and inorganic N availability. Microbial N has
quicker turnover times ranging from days to weeks compared to hundreds of
years for slow or passive organic matter (Izaurralde et al., 2006; Schimel
and Weintraub, 2003). Hence, microbial biomass is the main clearinghouse and
driver of C and N cycling in EPIC. Whether net mineralization of organic N to
<inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> occurs or net immobilization of <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to
microbial N depends strongly on the relative C and N contents in microbial
biomass. Higher N content supports net mineralization, whereas higher C
content supports net immobilization. C and N can also be leached or lost in
gaseous forms (Izaurralde et al., 2012).</p>
      <p id="d1e3664">We then estimate gaseous N emissions by using the organic N, <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and C pools provided from EPIC/FEST-C along with relevant soil
properties for agricultural biomes from the DayCENT nitrification and
denitrification sub-model, as described in Sect. 2.6.4 and illustrated in
Fig. 2.</p>
</sec>
<sec id="Ch1.S2.SS6.SSS3">
  <title>Nonagricultural regions</title>
      <p id="d1e3695">We adapt the framework for linked C and N cycling from Schimel and
Weintraub (2003) for nonagricultural regions, where EPIC is not applicable.
This framework accounts for the mineralization of organic N by considering
which element is limiting based on the relative C-to-N content in microbial
biomass. If N is in excess, then the mineralization of organic N producing
<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is favored. If C is in excess, it results in overflow
metabolism that results in elevated C respiration rates not
associated with microbial growth. The resultant inorganic N and C respiration
rates are then applied on a temporal and spatial scale consistent with those
for the EPIC agricultural pool.</p>
      <p id="d1e3711">To ensure mass balance, enzyme production (Eqs. 11–13) and recycling
mechanisms (Eqs. 14–15) to replenish microbial biomass C are crucial.
Similarly, net immobilization is assumed as was done in EPIC when we
approach C-saturated conditions with time to replenish microbial N. Without
such mechanisms, there is a danger to always incorrectly predict the N- or
C-limited state for microbes. Also, some proportion of the microbial biomass
is utilized for the maintenance of living cells (only C demand) (Eq. 14), while
the rest accounts for decay and regrowth (both C and N demands) (Eqs. 16–17,
18–19) (Schimel and Weintraub, 2003; Manzoni and Porporato, 2009). Fractions
of C and N in dying microbial biomass<?pagebreak page858?> are recycled into the available
microbial C and N pools. Schimel and Weintraub (2003) provide values for
parameters that quantify these growth and decay processes: fraction of biome
C to exoenzymes (<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>; microbial maintenance rate
(<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> d<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; substrate use efficiency (SUE) <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>;
proportion of microbial biomass that dies per day (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.012</mml:mn></mml:mrow></mml:math></inline-formula> d<inline-formula><mml:math id="M208" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; proportion of microbial biomass (C or N) for microbial use
(<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn></mml:mrow></mml:math></inline-formula>.

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M211" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E10"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mtext>respiration from maintenance</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mtext>SMC</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mtext>respiration from enzyme production</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E11"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>(</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="normal">SUE</mml:mi><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi mathvariant="normal">SUE</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mtext>enzyme production as, C loss/sink</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E12"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="1em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">SMC</mml:mi></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mtext>enzyme production as N loss/sink</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E13"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mtext>where 3 is the approximate</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>ratio
for protein</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">CY</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mtext>recycle from C microbial biomass</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E14"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="normal">SMC</mml:mi></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">CY</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mtext>recycle from N microbial biomass</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E15"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CY</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E16"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mtext>C death/decay</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">SMC</mml:mi></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E17"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mtext>N death/decay</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>If C is limited or N in excess:</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">SMC</mml:mi><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">SUE</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E18"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">SMN</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow><mml:mo>/</mml:mo><mml:mi mathvariant="normal">SUE</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mtext>respiration from growth, C limited</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E19"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="normal">SUE</mml:mi></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">SMC</mml:mi><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">SUE</mml:mi></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E20"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mtext>respiration from  overflow mechanism</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mtext>from net mineralization after mass balance</mml:mtext></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">SMN</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="normal">SMC</mml:mi><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">EP</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">SUE</mml:mi></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E21"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">SUE</mml:mi><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:mfenced><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              We represent spatial heterogeneity in soil C and N by using the Schimel and
Weintraub (2003) algorithm with sub-grid land use fractions from NLCD40 to
estimate the different parameters for specific nonagricultural biomes in
Eqs. (10)–(20). That allows us to account for inter-biome variability in
soil properties and organic and/or microbial biomass.</p>
      <p id="d1e4418">Mineralized N pools generated as <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in this framework are
calculated eventually as a function of microbial biomass and the aforementioned
parameters driving the net mineralization (Eqs. 18 and 21).</p>
      <p id="d1e4434">We map a global organic C and N pool dataset (Xu et al., 2015) onto our CONUS
domain using biome-specific fractions from 12 different biome types for
the conversion of these organic pools into microbial biomass pools (Xu et al.,
2013). We map these 12 broader biome types to the 24 MODIS biome types with the
mapping shown in Table A1. To ensure consistency with the sub-grid biome
fractions for the 40 NLCD biome types (Sect. 2.2), we map the MODIS 24
biome-specific microbial <inline-formula><mml:math id="M213" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> organic C and N fractions to NLCD 40
(<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Cmic</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Nmic</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; biome
represents the 40 NLCD categories) with the mappings shown in Tables A2 and A3.
We calculate area-weighted microbial C and N pools (SMC and SMN) using
<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Cmic</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Nmic</mml:mi><mml:mi mathvariant="normal">biome</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> that
account for the inter-biome variability in the availability of soil microbial
biomass. Also, spatial heterogeneity in terms of vertical stratification is
crucial as emission losses from N cycling primarily happen in the top 30 cm
layer. Hence, we incorporate the Xu et al. (2015) data for the top 30 cm for
the organic nutrient pool and microbial <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) along
with other soil properties such as soil pH, <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This framework (Fig. 2) enables us to estimate soil
<inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and C pools from area-weighted microbial
biomass as consistently as possible with the pools that EPIC provides in
agricultural regions.</p>
</sec>
<sec id="Ch1.S2.SS6.SSS4">
  <title>DayCENT representation of soil N emissions</title>
      <p id="d1e4569">The final part of the mechanistic framework is formed by using a
nitrification and denitrification N emissions sub-model adapted from DayCENT
along with nitrification and denitrification rate calculations adapted from
EPIC. Nitrification and denitrification rates are adapted from EPIC to
maintain consistency with the <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> bidirectional scheme in CMAQ, which
uses the same. It should be noted that the coupled C–N decomposition module
in the EPIC terrestrial ecosystem model is similar to that of DayCENT
(Izaurralde et al., 2012, 2017; Gaillard et al., 2018).
EPIC-simulated agricultural <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> soil pools are
generated as described in Sect. 2.6.2, whereas the nonagricultural
<inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> soil pools are calculated by using the methods
described in Sect. 2.6.3 (Eqs. 22–23). <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> soil
pools drive nitrification and denitrification as shown in Eqs. (24)–(25).
Variability in terms of the soil conditions influencing N emissions in
nitrification and denitrification is introduced through the rates at which
<inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is nitrified (<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is denitrified
(<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) (Eqs. 24–25).</p>
      <p id="d1e4694">The nitrification rate (<inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) (Eq. 26) is estimated based on
regulators from the soil water content, soil pH, and soil temperature
(<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), following the approach of Williams et al. (2008),
consistent with the bidirectional <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scheme in CMAQ (Bash et al.,
2013). The nitrification soil temperature regulator (<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) accounts
for frozen soil with no evasive N fluxes (Eq. 27). The nitrification soil
water content regulator (<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) accounts for soil water content at
the
wilting point and field capacity (Eqs. 28–29). The regulator terms
<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> both get their dependent variables from
land-surface outputs derived from the Meteorology–Chemistry Interface Processor (MCIP) (Otte and Pleim, 2010). However, the nitrification soil pH regulator
(<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">pH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) takes soil pH for agriculture soil from EPIC and for
nonagricultural soil from a separate global dataset (Xu et al., 2015),
available at both 0.01 and 1 m depths to maintain consistency with MCIP
(Eq. 30). The denitrification rate (<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) (Eq. 31) is regulated by soil
temperature (Eq. 34), with WFPS (Eq. 33) acting as a proxy for <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
availability and soil moisture <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> and
the relative availability of <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and C (Eq. 32) determining
<inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions during denitrification (Williams et
al., 2008). Note that Eqs. (26) and (31) set upper limits for <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively.

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M251" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>after
nitrification</mml:mtext><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E22"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>after nitrification</mml:mtext><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E23"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E24"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E25"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E26"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo movablelimits="false">min⁡</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">0.69</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SW</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">pH</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced close=")" open="("><mml:mtext>nitrification soil temperature regulator</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E27"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo movablelimits="false">max⁡</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">0.041</mml:mn><mml:mfenced open="(" close=")"><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">278.15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.0</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SW</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced close=")" open="("><mml:mtext>nitrification soil water content regulator</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E28"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="{" close=""><?xmltex \hack{\hbox\bgroup\fontsize{7.8}{7.8}\selectfont$\displaystyle}?><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>if</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>wilting point</mml:mtext></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo movablelimits="false">max⁡</mml:mo><mml:mfenced close="" open="("><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.9</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msqrt><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mtext>wilting point</mml:mtext></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced close=")" open="("><mml:mtext>field capacity-wilting point</mml:mtext></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mfenced close=")" open=""><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mtext>wilting point</mml:mtext></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mtext>field capacity–wilting point</mml:mtext></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced close=")" open="("><mml:mrow><mml:mtext>wg25</mml:mtext><mml:mo>&gt;</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>&gt;</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>wilting point</mml:mtext></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>field capacity</mml:mtext><mml:mo>&gt;</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>≥</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>wg25</mml:mtext><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo movablelimits="false">max⁡</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mtext>field
capacity</mml:mtext></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mtext>at saturation</mml:mtext></mml:mfenced><mml:mo>-</mml:mo><mml:mtext>field capacity</mml:mtext></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>&gt;</mml:mo><mml:mtext>field capacity</mml:mtext></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/></mml:mtr></mml:mtable><?xmltex \hack{$\egroup}?></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E29"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hbox\bgroup\fontsize{9.2}{9.2}\selectfont$\displaystyle}?><mml:mtext mathvariant="normal">wg25</mml:mtext><mml:mo>=</mml:mo><mml:mtext>wilting point</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mtext>field capacity–wilting point</mml:mtext><mml:mo>)</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">pH</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mtext>nitrification soil pH regulator</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E30"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.307</mml:mn><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced close=")" open="("><mml:mtext>pH</mml:mtext></mml:mfenced><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.269</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>acidic soil</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>pH</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>neutral soil</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">7.4</mml:mn><mml:mo>&gt;</mml:mo><mml:mtext>pH</mml:mtext><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">5.367</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.599</mml:mn><mml:mfenced close=")" open="("><mml:mtext>pH</mml:mtext></mml:mfenced><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>alkaline soil</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>pH</mml:mtext><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">7.4</mml:mn></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E31"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mo movablelimits="false">min⁡</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>,</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mtext>WFPS</mml:mtext><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>f</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>WFPS</mml:mtext><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><mml:mtext>denitrification regulators</mml:mtext><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E32"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">WFPS</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mtext>labile C</mml:mtext></mml:mfenced><mml:mfenced open="(" close=")"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mtext>labile C</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">17</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">83</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E33"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">WFPS</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo movablelimits="false">min⁡</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>,</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">4.82</mml:mn><mml:mrow><mml:msup><mml:mn mathvariant="normal">14</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">16</mml:mn><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msup><mml:mn mathvariant="normal">12</mml:mn><mml:mrow><mml:mn mathvariant="normal">1.39</mml:mn><mml:mo>(</mml:mo><mml:mtext>WFPS</mml:mtext><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E34"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">T</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo movablelimits="false">min⁡</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>,</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">308.56</mml:mn><mml:mfenced close=")" open="("><mml:mrow><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">68.02</mml:mn></mml:mfrac><mml:mo>-</mml:mo><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mtext>in K</mml:mtext></mml:mfenced><mml:mo>-</mml:mo><mml:mn mathvariant="normal">227.13</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              DayCENT partitions N emissions as <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
based on relative gas diffusivity in soil compared to air (Dr) (Eq. 35). Dr
is calculated based on   the algorithm from Moldrup et al. (2004),
which accounts for soil water content, soil air porosity, and soil type.
Dr, and hence the ratio of <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
emissions (<inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) being a function of Dr, also accounts for soil
texture by quantifying pore space, which is highest in coarse soil (Parton et
al., 2001; Moldrup et al., 2004). DayCENT assumes 2 % of nitrified N
(<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is lost as <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Eq. 36). <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
the ratio of <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (both NO and HONO, which photolyze rapidly
to NO) to <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, in which emissions are expressed on a g N h<inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> basis. These
emissions are susceptible to pulsing after rewetting of soil in arid or
semiarid conditions <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, as explained in
Sect. 2.1 (Eq. 37). Denitrification NO is also calculated using the overall
<inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ratio (Eq. 38) but does not experience pulsing (Parton
et al., 2001). Equation (35) does quantify <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> as a function of Dr,
but as a unitless ratio as expected.

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M266" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">15.2</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E35"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">35.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>arctan⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">0.68</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">π</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">10.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Dr</mml:mi></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.86</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow><mml:mi mathvariant="italic">π</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>nitrification</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E36"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mn mathvariant="normal">0.02</mml:mn><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mtext>grid cell area</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>nitrification</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E37"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>P</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi mathvariant="normal">dry</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>D</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mtext>denitrification NO</mml:mtext><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E38"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from denitrified <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is calculated
using the partitioning function derived by Del Grosso et al. (2000) (Eq. 39).
The ratio of <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emitted as an intermediate
during denitrification (<inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) is dependent on
WFPS (Eq. 42) and the relative availability of <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> substrate
and C for heterotrophic respiration (Eqs. 40–41). The C available
for heterotrophic respiration in the surface soil layer (labile C) (Eq. 41)
is taken from EPIC for agricultural biomes and from Xu et al. (2015) for
nonagricultural biomes. <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> is controlled by
variability in soil texture, accounted for by a factor <inline-formula><mml:math id="M275" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, which depends on
soil diffusivity at field capacity as estimated in Del Grosso et al. (2000).
Also, the <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pool is updated at each time step when
denitrification happens (Eq. 43). Equations (40)–(42) also quantify
<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> as a unitless ratio, while still
accounting for the variables influencing these ratios.

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M278" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>D</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mtext>denitrification</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E39"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>(</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mtext>grid cell area</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E40"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>r</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mfenced open="(" close=")"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E41"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mfenced close="" open="{"><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mo movablelimits="false">max⁡</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">0.16</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi>k</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mi>k</mml:mi><mml:mo>)</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mfrac><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mtext>labile C</mml:mtext></mml:mfrac></mml:mfenced></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>if labile C</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.16</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi>k</mml:mi><mml:mo>)</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>if  labile C</mml:mtext><mml:mo>∼</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable><?xmltex \hack{$\egroup}?></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mtext>WFPS</mml:mtext></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E42"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mo movablelimits="false">max⁡</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">0.015</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mtext>WFPS</mml:mtext><mml:mo>(</mml:mo><mml:mtext>as fraction</mml:mtext><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">N</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>after denitrification</mml:mtext></mml:mrow></mml:mfenced><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E43"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>(</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              HONO is emitted as an intermediate during nitrification and has been
reported in terms of a ratio relative to NO for each<?pagebreak page860?> of 17 ecosystems by
Oswald et al. (2013). In the mechanistic scheme, the proportions of HONO
relative to total <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for these 17 biomes were mapped to the closest 24
MODIS-type biome categories (Table A1) and then to the NLCD 40 types
(<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mi>f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) with the mappings in Tables A2 and A3. This allows for consistency
with sub-grid land use fractions from NLCD40. HONO emissions are further
adjusted to reflect their dependence on WFPS (Oswald et al., 2013). The
adjustment factor <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SWC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reflects observations that HONO emissions rise
linearly up to 10 % WFPS and then decrease until they are negligible
around <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> % (Su et al., 2011; Oswald et al., 2013)
(Eq. 45). Subsequently, total NO emission is a sum of nitrification NO
emission, which is a difference of <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and
denitrification NO (Eq. 46). Similarly, total <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is a sum of
<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 36) and <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 39). The canopy
reduction factor (Sect. 2.1) is then applied to both <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(Eqs. 44 and 46). Finally, sub-grid-scale emission rates are
aggregated for each grid cell.

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M290" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mi>f</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>(</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E44"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SWC</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced close=")" open="("><mml:mtext>LAI, meteorology, biome</mml:mtext></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><?xmltex \hack{\hbox\bgroup\fontsize{9.2}{9.2}\selectfont$\displaystyle}?><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SWC</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mtext>soil water content adjustment factor to compute HONO</mml:mtext></mml:mfenced><mml:mo>=</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E45"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mi>f</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mtext>WFPS</mml:mtext></mml:mfenced></mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced close=")" open="("><mml:mrow><mml:mtext>WFPS</mml:mtext><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mtext>assuming linear increase up to 10 %  WFPS</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mi>f</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>-</mml:mo><mml:mtext>WFPS</mml:mtext></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>if</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>WFPS</mml:mtext><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.40</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>if</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mtext>WFPS</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.40</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close="}" open="{"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow><mml:mi>f</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>(</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">SWC</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>D</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E46"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mi mathvariant="normal">CRF</mml:mi><mml:mfenced close=")" open="("><mml:mtext>LAI, meteorology, biome</mml:mtext></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
</sec>
</sec>
<sec id="Ch1.S2.SS7">
  <title>Model configurations</title>
      <p id="d1e7569">We obtained from the U.S. EPA a base case WRFv3.7-CMAQv5.1 simulation for 2011
with the settings and CONUS modeling domain described by Appel et al. (2017),
who thoroughly evaluated its performance against observations. Here,
we simulate only May and July to test the sensitivity of air pollution to soil N
emissions during the beginning and middle of the growing season. Each
episode is preceded by a 10-day spin-up period.</p>
      <p id="d1e7572">Table 2 summarizes the WRF-CMAQ modeling configurations settings. The
simulations use the Pleim–Xiu Land Surface Model (PX-LSM) (Pleim and Xiu,
2003) and the Asymmetric Convective Mixing v2 (ACM2) planetary boundary
layer (PBL) model. The modeling domain for CMAQ v5.1 covers the entire CONUS
including portions of northern Mexico and southern Canada with 12 km
resolution and a Lambert conformal projection. Vertically, we use 35 vertical layers of increasing thickness extending up to 50 hPa. Boundary
conditions are provided by a 2011 global GEOS-Chem simulation (Bey et al.,
2001).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><label>Table 2</label><caption><p id="d1e7578">Modeling configuration used for the WRF-CMAQ simulations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="108.120472pt"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="108.120472pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">WRF/MCIP </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Version:</oasis:entry>
         <oasis:entry colname="col2">ARW V3.7</oasis:entry>
         <oasis:entry colname="col3">Shortwave radiation:</oasis:entry>
         <oasis:entry colname="col4">RRTMG scheme</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Horizontal resolution:</oasis:entry>
         <oasis:entry colname="col2">CONUS (12 km <inline-formula><mml:math id="M291" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12 km)</oasis:entry>
         <oasis:entry colname="col3">Surface layer physic:</oasis:entry>
         <oasis:entry colname="col4">PX LSM</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vertical resolution:</oasis:entry>
         <oasis:entry colname="col2">35 layer</oasis:entry>
         <oasis:entry colname="col3">PBL scheme:</oasis:entry>
         <oasis:entry colname="col4">ACM2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Boundary condition:</oasis:entry>
         <oasis:entry colname="col2">NARR 32 km</oasis:entry>
         <oasis:entry colname="col3">Microphysics:</oasis:entry>
         <oasis:entry colname="col4">Morrison double-moment scheme</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Initial condition:</oasis:entry>
         <oasis:entry colname="col2">NCEP-ADP</oasis:entry>
         <oasis:entry colname="col3">Cumulus parameterization:</oasis:entry>
         <oasis:entry colname="col4">Kain–Fritsch scheme</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Longwave radiation:</oasis:entry>
         <oasis:entry colname="col2">Rapid Radiation Transfer Model Global (RRTMG) scheme</oasis:entry>
         <oasis:entry colname="col3">Assimilation:</oasis:entry>
         <oasis:entry colname="col4">Analysis nudging above PBL for temperature, moisture, and wind speed</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">BDSNP </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Horizontal resolution:</oasis:entry>
         <oasis:entry colname="col2">Same as WRF/MCIP</oasis:entry>
         <oasis:entry colname="col3">Emission factor:</oasis:entry>
         <oasis:entry colname="col4">Steinkamp and Lawrence (2011)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Soil biome type:</oasis:entry>
         <oasis:entry colname="col2">Sub-grid biome fractions from WRFv3.7</oasis:entry>
         <oasis:entry colname="col3">Fertilizer database:</oasis:entry>
         <oasis:entry colname="col4">EPIC 2011 based from FEST-C v1.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">CMAQ </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Version:</oasis:entry>
         <oasis:entry colname="col2">5.1</oasis:entry>
         <oasis:entry colname="col3">Anthropogenic emission:</oasis:entry>
         <oasis:entry colname="col4">NEI 2011 v1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Horizontal resolution:</oasis:entry>
         <oasis:entry colname="col2">Same as WRF/MCIP</oasis:entry>
         <oasis:entry colname="col3">Biogenic emission:</oasis:entry>
         <oasis:entry colname="col4">BEIS v3.61 in-line</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Initial condition:</oasis:entry>
         <oasis:entry colname="col2">Pleim–Xiu (MET) <?xmltex \hack{\hfill\break}?>GEOS-Chem (CHEM)</oasis:entry>
         <oasis:entry colname="col3">Boundary condition:</oasis:entry>
         <oasis:entry colname="col4">Pleim–Xiu (MET) <?xmltex \hack{\hfill\break}?>GEOS-Chem (CHEM)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Aerosol module:</oasis:entry>
         <oasis:entry colname="col2">AE6</oasis:entry>
         <oasis:entry colname="col3">Gas-phase mechanism:</oasis:entry>
         <oasis:entry colname="col4">CB-05</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">Simulation case arrangement (in-line with CMAQ) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1. YL:</oasis:entry>
         <?xmltex \mcwidth{284.527559pt}?><oasis:entry namest="col2" nameend="col4" align="left">WRF/MCIP-CMAQ with standard YL soil NO scheme</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2. BDSNP (EPIC with new biome):</oasis:entry>
         <?xmltex \mcwidth{284.527559pt}?><oasis:entry namest="col2" nameend="col4" align="left">WRF/MCIP-BDSNP-CMAQ with EPIC and new sub-grid biome fractions</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">3. Mechanistic scheme:</oasis:entry>
         <?xmltex \mcwidth{284.527559pt}?><oasis:entry namest="col2" nameend="col4" align="left">WRF/MCIP–mechanistic soil N-CMAQ with EPIC (agricultural US) and Xu et al. (2015) (non-US agricultural and all nonagricultural in CONUS), new sub-grid biome fractions</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">Simulation time period </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <?xmltex \mcwidth{284.527559pt}?><oasis:entry namest="col2" nameend="col4" align="left">1–31 May and 10–31 July 2011 (10-day spin-up for each) for CMAQ simulation with in-line YL, updated BDSNP, and mechanistic modules</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4">Model performance evaluation </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <?xmltex \mcwidth{455.244094pt}?><oasis:entry namest="col1" nameend="col4">USEPA Clean Air Status and Trends Network (CASTNET) and Air Quality System (AQS) data for ozone</oasis:entry>
       </oasis:row>
       <oasis:row>
         <?xmltex \mcwidth{455.244094pt}?><oasis:entry namest="col1" nameend="col4">Interagency Monitoring of Protected Visual Environments (IMPROVE) and Chemical Speciation Network (CSN) (Malm et al., 1994) for PM<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> nitrate <?xmltex \hack{\hfill\break}?>AQS and South Eastern Aerosol Research and CHaracterization (SEARCH) for <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations <?xmltex \hack{\hfill\break}?>NASA's OMI satellite retrieval product as derived in Lamsal et al. (2014) for the tropospheric <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e7913">WRF simulations employed the same options as Appel et al. (2017) (summarized
in Table 2). WRF outputs for meteorological conditions were converted to
CMAQ inputs using MCIP version 4.2 (<uri>https://www.cmascenter.org</uri>, last access: 22 February 2019).
Gridded speciated hourly model-ready emission inputs were generated using the Sparse Matrix Operator Kernel
Emissions (SMOKE; <uri>https://www.cmascenter.org/smoke/</uri>, last access: 22 February 2019) version
3.5 program and the 2011 National Emissions Inventory v1. Biogenic emissions
were processed in-line in CMAQ v5.1 using BEIS version 3.61 (Bash et al.,
2016). All the simulations employed the bidirectional option for estimating
the air–surface exchange of ammonia. We applied CMAQ with three sets of
soil NO emissions: (a) standard YL soil NO scheme in BEIS; (b) updated BDSNP
scheme for NO (Rasool et al., 2016) with new sub-grid biome classification;
and (c) mechanistic soil N scheme for NO and HONO.</p>
</sec>
<sec id="Ch1.S2.SS8">
  <title>Observational data for model evaluation</title>
      <p id="d1e7928">To evaluate model performance for each of the three soil N cases, we
employed regional and national networks: the EPA's Air Quality System (AQS; 2086
sites; <uri>https://www.epa.gov/aqs</uri>, last access: 22 February 2019) for hourly <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; the Interagency Monitoring of Protected Visual Environments
(IMPROVE; 157 sites; <uri>http://vista.cira.colostate.edu/improve/</uri>, last access: 22 February 2019)
and Chemical Speciation Network (CSN; 171 sites; <uri>https://www3.epa.gov/ttnamti1/speciepg.html</uri>, last access: 22 February 2019) for PM<inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> nitrate
(measured every third or sixth day); the Clean Air Status and Trends Network
(CASTNET; 82 sites; <uri>http://www.epa.gov/castnet/</uri>, last access: 22 February 2019) for hourly
<inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and weekly aerosol PM species; and SEARCH network measurements
(<uri>http://www.atmospheric-research.com/studies/SEARCH/index.html</uri>, last access: 22 February 2019)
of <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in remote areas. <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was also evaluated
against tropospheric columns observed by the OMI aboard NASA's Aura satellite (Bucsela et al., 2013; Lamsal et al.,
2014).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{Spatial distribution of soil NO, HONO, and {$\protect\chem{N_{{2}}O}$}
emissions}?><title>Spatial distribution of soil NO, HONO, and <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
emissions</title>
      <p id="d1e8037">Figure 3 compares the spatial distribution of soil N oxide emissions from
the three schemes. The incorporation of EPIC fertilizer in BDSNP results in
soil NO emission rates up to a factor of 1.5 higher than in YL, consistent
with the findings of Rasool et al. (2016). Hudman et al. (2012) found nearly
twice as large of a gap between BDSNP and YL in GEOS-Chem; the narrower gap
here likely results from our use of sub-grid biome classification and EPIC
fertilizer data (Rasool et al., 2016). The mechanistic scheme (Fig. 3c)
generates emission estimates that are closer to the YL scheme<?pagebreak page861?> but with
greater spatial and temporal heterogeneity, reflecting its use of more
dynamic soil N and C pools. The agricultural plains extending from Iowa to
Texas with high fertilizer application rates have the highest biogenic NO
and HONO emission rate, with obvious temporal variability between May and
July (Fig. 3). In all of the schemes, soil N represents a substantial
fraction of total <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions over many rural regions, especially in
the western half of the country (Fig. S1 in the Supplement). However, the aggregated budget
of soil NO is much less than anthropogenic <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from non-soil-related
sources because fossil fuel use is concentrated in a limited number of
urbanized and industrial locations. The percentage contribution of soil NO
to total <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> aggregated across the CONUS domain varied for May–July
from 15 %–20 % for YL, 20 %–33 % for updated BDSNP, and 10 %–13 %
for the
mechanistic scheme.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><label>Figure 3</label><caption><p id="d1e8075">Soil N oxide emissions on a monthly average basis for May (left) and
July (right) 2011 for <bold>(a)</bold> the YL scheme (NO),
<bold>(b)</bold> parameterized BDSNP scheme (NO), and <bold>(c)</bold> mechanistic
scheme (NO <inline-formula><mml:math id="M305" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HONO).</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f03.jpg"/>

        </fig>

      <p id="d1e8100">Direct observations of soil emissions are sparse and most were reported
decades ago. While the meteorological conditions will differ, these
observations give us the best available indicator of the ranges of
magnitudes of emission rates actually observed in the field. The sites
encompass a variety of fertilized agricultural fields and fertilized<?pagebreak page862?> and
unfertilized grasslands (Bertram et al., 2005; Hutchinson and Brams, 1992;
Parrish et al., 1987; Williams and Fehsenfeld, 1991, 1992;
Martin
et al., 1998). For fair comparison, the peak location or site was selected across a
range of sites for a specific observation study and compared to the respective
peak modeled value across sites or grids in the same spatial domain. Also, for
comparison with natural unfertilized grassland observational studies based
in Colorado, modeled estimates from nonagricultural grids only were
selected. Overall, the YL scheme and the mechanistic scheme produce
emissions estimates that are roughly consistent with the ranges of emission
rates observed at each site (Table 3). By contrast, BDSNP tends to
overestimate soil NO compared to these observations (Table 3).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><label>Table 3</label><caption><p id="d1e8107">NO emission rates (ng N m<inline-formula><mml:math id="M306" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M307" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) observed in field studies
in agricultural and grassland locations, modeled by CMAQ with the three
soil N schemes for May and July 2011. Observed and modeled values are from
peak location or site within a range of values across sites.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.87}[.87]?><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="176.407087pt"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">Observed peak</oasis:entry>
         <oasis:entry namest="col3" nameend="col4" align="center" colsep="1">Mechanistic   </oasis:entry>
         <oasis:entry namest="col5" nameend="col6" align="center" colsep="1">YL   </oasis:entry>
         <oasis:entry namest="col7" nameend="col8" align="center">BDSNP   </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(study)</oasis:entry>
         <oasis:entry colname="col2">summertime soil NO</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">soil NO<inline-formula><mml:math id="M312" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center" colsep="1">soil NO  </oasis:entry>
         <oasis:entry rowsep="1" namest="col7" nameend="col8" align="center">soil NO  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">May 2011</oasis:entry>
         <oasis:entry colname="col4">July 2011</oasis:entry>
         <oasis:entry colname="col5">May 2011</oasis:entry>
         <oasis:entry colname="col6">July 2011</oasis:entry>
         <oasis:entry colname="col7">May 2011</oasis:entry>
         <oasis:entry colname="col8">July 2011</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Iowa fertilized fields   (Williams et al., 1992)</oasis:entry>
         <oasis:entry colname="col2">18.0</oasis:entry>
         <oasis:entry colname="col3">17.1</oasis:entry>
         <oasis:entry colname="col4">13.0</oasis:entry>
         <oasis:entry colname="col5">8.2</oasis:entry>
         <oasis:entry colname="col6">11.4</oasis:entry>
         <oasis:entry colname="col7">20.1</oasis:entry>
         <oasis:entry colname="col8">41.7</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Montana fertilized fields<inline-formula><mml:math id="M313" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> (Bertram et al., 2005)</oasis:entry>
         <oasis:entry colname="col2">12.0</oasis:entry>
         <oasis:entry colname="col3">7.8</oasis:entry>
         <oasis:entry colname="col4">14.2</oasis:entry>
         <oasis:entry colname="col5">7.1</oasis:entry>
         <oasis:entry colname="col6">12.9</oasis:entry>
         <oasis:entry colname="col7">9.8</oasis:entry>
         <oasis:entry colname="col8">42.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">South Dakota fertilized fields (Williams and Fehsenfeld, 1991)</oasis:entry>
         <oasis:entry colname="col2">10.0</oasis:entry>
         <oasis:entry colname="col3">11.7</oasis:entry>
         <oasis:entry colname="col4">10.0</oasis:entry>
         <oasis:entry colname="col5">8.0</oasis:entry>
         <oasis:entry colname="col6">13.9</oasis:entry>
         <oasis:entry colname="col7">18.4</oasis:entry>
         <oasis:entry colname="col8">54.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Texas grasses and fields (both fertilized)  (Hutchinson and Brams, 1992)</oasis:entry>
         <oasis:entry colname="col2">43.0</oasis:entry>
         <oasis:entry colname="col3">52.5</oasis:entry>
         <oasis:entry colname="col4">45.0</oasis:entry>
         <oasis:entry colname="col5">15.0</oasis:entry>
         <oasis:entry colname="col6">15.9</oasis:entry>
         <oasis:entry colname="col7">54.1</oasis:entry>
         <oasis:entry colname="col8">60.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Colorado natural grasslands  (Parrish et al., 1987; Williams and Fehsenfeld, 1991; Martin et al., 1998)</oasis:entry>
         <oasis:entry colname="col2">10.0</oasis:entry>
         <oasis:entry colname="col3">7.9</oasis:entry>
         <oasis:entry colname="col4">11.5</oasis:entry>
         <oasis:entry colname="col5">9.7</oasis:entry>
         <oasis:entry colname="col6">15.3</oasis:entry>
         <oasis:entry colname="col7">18.6</oasis:entry>
         <oasis:entry colname="col8">33.2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e8134"><inline-formula><mml:math id="M308" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Derived from SCIAMACHY <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns.
<inline-formula><mml:math id="M310" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Mechanistic scheme estimates are NO <inline-formula><mml:math id="M311" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HONO emission rates.</p></table-wrap-foot></table-wrap>

      <p id="d1e8419">Table 3 also shows opposing trends for May and July soil NO estimates
between YL or BDSNP and the mechanistic scheme for Iowa and South Dakota
fertilized fields that make up a significant part of the Corn Belt in the US. For
these regions, soil NO tends to be higher in July than in May in YL and
BDSNP, but lower in July in the mechanistic scheme (Table 3). The US Corn
Belt has the most synthetic N fertilizer application in April (Wade et al.,
2015), which can explain the high soil NO emissions in May that decline in
July. <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions have been particularly observed to be highest
during May–June after April N fertilizer application in the US Corn Belt,
with a decline thereafter (Griffis et al., 2017). This is further confirmed
in our estimates for soil <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions from the mechanistic
scheme, for which
May estimates are higher than in July and the maximum emissions are observed
in the Iowa Corn Belt (Fig. 4). However, unlike <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, for
<inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> no background conditions or emission inventories are in place in
CMAQ's chemical transport model, so comparisons with ambient observations
are not yet possible.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><label>Figure 4</label><caption><p id="d1e8474">Soil <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions on a monthly average basis for
May <bold>(a)</bold> and July <bold>(b)</bold> 2011 estimated from the mechanistic
scheme.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f04.png"/>

        </fig>

</sec>
<?pagebreak page863?><sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Evaluation with PM${}_{{2.5}}$, ozone, and {$\protect\chem{NO_{\mathit{x}}}$}
observations}?><title>Evaluation with PM<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, ozone, and <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
observations</title>
      <p id="d1e8529">Model results with the three soil N schemes are compared with observational
data from IMPROVE and CSN monitors for the PM<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> component, AQS
monitors for <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and ozone, and CASTNET monitors for ozone. Both YL and
the new mechanistic scheme exhibit similar ranges of bias for these
pollutants (see Figs. S2, S3, S4, S5, and S6 in the Supplement).
Use of the mechanistic scheme in place of YL changes soil N emissions by
less than 25 ng N m<inline-formula><mml:math id="M324" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in most regions, corresponding to
<inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration changes of less than 1 ppb (Fig. 5). CASTNET and
IMPROVE monitors tend to be more remote than AQS and CSN monitors, many of
which are located in urban regions.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5" specific-use="star"><label>Figure 5</label><caption><p id="d1e8601">Total <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (NO <inline-formula><mml:math id="M328" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) concentration
sensitivity (right) to changes in soil <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions (left)
on a monthly average basis for May <bold>(a, c)</bold> and July <bold>(b, d)</bold>
2011 when switching from the YL scheme (NO) to the mechanistic scheme (NO <inline-formula><mml:math id="M331" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>
HONO).</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f05.png"/>

        </fig>

      <p id="d1e8664">At AQS monitors, switching between soil N schemes changes MB for <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
by up to <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> ppb (Fig. 6), whereas the absolute MB of models versus
observations is up to <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppb (Fig. S2). For <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the
maximum difference in MB between soil N schemes is <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> ppb (Fig. 7)
compared to a maximum absolute MB of <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppb between model and
observations (Fig. S3). For CASTNET monitors, the differences in MB for
<inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between soil N schemes can reach a maximum of <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> ppb
(Fig. 8) compared to the 6 ppb maximum absolute MB of models versus
observations (Fig. S4). Similarly, for IMPROVE PM<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
the maximum difference in MB between soil N schemes is <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 9) compared to the maximum absolute MB of 0.4 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. S5). For CSN PM<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the maximum MB
difference between soil N schemes is <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
(Fig. 10) compared to the maximum absolute MB of <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
(Fig. S6). Similar trends are observed for both May and July as illustrated
in Figs. 6–10.</p>
      <p id="d1e8888">Overall, the mechanistic scheme tends to reduce CMAQ's positive biases for
pollutants across the Midwest and eastern US, whereas BDSNP worsens
overestimations in these regions for both May and July 2011 (Figs. 6–10).
In addition, the negative bias in the difference means less bias compared to
observations (Figs. 6–10). One reason for the differences is that the
mechanistic scheme recognizes dry conditions in unirrigated fields in these
regions, whereas the low WFPS threshold in BDSNP (<inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.175</mml:mn></mml:mrow></mml:math></inline-formula>
(m<inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) treats most of these regions as wet and thus higher
emitting.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6" specific-use="star"><label>Figure 6</label><caption><p id="d1e8929">Change in average monthly mean bias (MB) of the Community Multiscale Air
Quality (CMAQ) model evaluated against the EPA Air Quality System (AQS)
<inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations for May <bold>(a, b)</bold> and July <bold>(c, d)</bold>
2011 when switching to the mechanistic <bold>(a, c)</bold> or BDSNP <bold>(b, d)</bold> scheme from YL.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f06.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7" specific-use="star"><label>Figure 7</label><caption><p id="d1e8963">Change in average monthly MB of CMAQ evaluated against EPA AQS
<inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observations for May <bold>(a, b)</bold> and July
<bold>(c, d)</bold> 2011 when switching to the mechanistic <bold>(a, c)</bold> or
BDSNP <bold>(b, d)</bold> scheme from YL.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f07.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F8" specific-use="star"><label>Figure 8</label><caption><p id="d1e8997">Change in average monthly MB of CMAQ evaluated against the EPA Clean
Air Status and Trends Network (CASTNET) <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations for May
<bold>(a, b)</bold> and July <bold>(c, d)</bold> 2011 when switching to
the mechanistic <bold>(a, c)</bold> or BDSNP <bold>(b, d)</bold> scheme from YL.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f08.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9" specific-use="star"><label>Figure 9</label><caption><p id="d1e9032">Change in average monthly MB of CMAQ evaluated against Interagency
Monitoring of Protected Visual Environments (IMPROVE) PM<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
<inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations for May <bold>(a, b)</bold> and July <bold>(c, d)</bold>
2011 when switching to the mechanistic <bold>(a, c)</bold> or BDSNP <bold>(b, d)</bold>
scheme from YL.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f09.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F10" specific-use="star"><label>Figure 10</label><caption><p id="d1e9076">Change in average monthly MB of CMAQ evaluated against Chemical
Speciation Network (CSN) PM<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations for
May <bold>(a, b)</bold> and July <bold>(c, d)</bold> 2011 when switching to
the mechanistic <bold>(a, c)</bold> or BDSNP <bold>(b, d)</bold> scheme from YL.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f10.png"/>

        </fig>

<?pagebreak page867?><sec id="Ch1.S3.SS2.SSS1">
  <?xmltex \opttitle{Evaluation with South Eastern Aerosol Research and CHaracterization
(SEARCH) network {$\protect\chem{NO_{\mathit{x}}}$} measurements}?><title>Evaluation with South Eastern Aerosol Research and CHaracterization
(SEARCH) network <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements</title>
      <p id="d1e9135">We analyzed how the choice of soil NO parameterization affects <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations in nonagricultural regions by using SEARCH network
measurements (<uri>http://www.atmospheric-research.com/studies/SEARCH/index.html</uri>,  last access: 22 February 2019). Six SEARCH
sites located in the southeastern US are evaluated for May and July 2011:
Gulfport, Mississippi (GFP), an urban coastal site <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> km from the
shoreline; Pensacola, an outlying (aircraft) landing field (OLF) remote
coastal site near the gulf <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> km inland; Atlanta, Georgia (Jefferson
Street, JST), and North Birmingham, Alabama (BHM) – both urban inland sites;
and Yorkville, Georgia (YRK), and Centreville, Alabama (CTR) – remote inland
forest sites.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><label>Figure 11</label><caption><p id="d1e9174">Comparison of average monthly (May and July 2011) MB for CMAQ
<inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with <bold>(a)</bold> YL, <bold>(b)</bold> BDSNP parameterized,
and <bold>(c)</bold> mechanistic schemes compared to South Eastern Aerosol
Research and CHaracterization (SEARCH) <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observations in
nonagricultural remote regions.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f11.png"/>

          </fig>

      <p id="d1e9214">Across the southeastern US during these episodes, BDSNP estimated higher
emissions than YL and the mechanistic scheme estimated lower emissions
(Fig. 3). Also, CMAQ with each scheme overestimated <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> observed at
each SEARCH site (Fig. 11). Thus, shifting from YL to BDSNP worsens mean
bias (MB) for <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, while the mechanistic scheme reduces MB. The impacts
are most pronounced at the rural Centreville site (Fig. 11).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Evaluation with OMI satellite {$\protect\chem{NO_{{2}}}$} column observations}?><title>Evaluation with OMI satellite <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column observations</title>
      <p id="d1e9258">Tropospheric <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns observed by OMI and available publicly at the
NASA archive (<uri>http://disc.sci.gsfc.nasa.gov/Aura/data-holdings/OMI/omno2_v003.shtml</uri>, last access: 22 February 2019;
Bucsela et al., 2013; Lamsal et al., 2014) are used to evaluate
the performance of CMAQ under the three soil <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> schemes. To enable a
fair comparison, the quality-assured and quality-checked (QA <inline-formula><mml:math id="M372" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> QC) clear-sky
(cloud radiance fraction <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>) OMI <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data are gridded and
projected to our CONUS domain using ArcGIS 10.3.1. CMAQ <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column
densities in molecules per cm<inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> are generated from CMAQ through vertical
integration using the variable layer heights and air mass densities in these
tropospheric layers. These <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities are then extracted for
13:00–14:00 local time across the CONUS domain to match the time of OMI
overpass measurements.</p>
      <p id="d1e9346">We compared CMAQ-simulated tropospheric <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns with OMI data for
four broad regions that showed the highest sensitivity to the soil N
schemes. For May 2011, the mechanistic scheme produces higher estimates of
<inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> than YL in the western US and Texas, with lower estimates in the
rest of the agricultural Great Plains. In July, however, the mechanistic
scheme produces lower estimates than YL in each of these regions, but the
differences are narrower than in May (Fig. 12). Switching from YL to our
updated mechanistic scheme improved agreement with OMI <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns in
the western US (for May only), Montana, North and South Dakota, North and
South Carolina and Georgia (July only), and Oklahoma and Texas (red
boundaries). However, switching from YL to the mechanistic scheme worsens
underpredictions of column <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the rest of the Midwest (black
boundaries) during both May and July (Figs. 12 and 13). The mechanistic
scheme improves model performance in the southeastern US and many portions
of the central and western US (Table 4). Overestimation is exhibited for
the eastern US across all soil N schemes and can be attributed more to the
current emission inventory in CMAQ overestimating <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vertical column
density in this region of CONUS (Kim et al., 2016). For Texas and Oklahoma,
the mechanistic scheme performs better than YL but still underestimates OMI
observations in May and performs well in July (Fig. 13).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><label>Figure 12</label><caption><p id="d1e9406">Impact of switching from the YL scheme to the mechanistic scheme on CMAQ
tropospheric <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column density at NASA's Ozone Monitoring
Instrument (OMI) overpass time (13:00–14:00 local time) on a monthly average
(May and July 2011) basis.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f12.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><label>Table 4</label><caption><p id="d1e9430">Statistical performance of the CMAQ modeled (with YL, updated BDSNP, and
mechanistic schemes) tropospheric <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column for May 2011 with OMI
<inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations for sensitive sub-domains for CONUS.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Domains</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">Correlation (<inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center" colsep="1">NMB (%) </oasis:entry>
         <oasis:entry rowsep="1" namest="col9" nameend="col11" align="center">NME (%) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">YL</oasis:entry>
         <oasis:entry colname="col4">BDSNP</oasis:entry>
         <oasis:entry colname="col5">Mech.</oasis:entry>
         <oasis:entry colname="col6">YL</oasis:entry>
         <oasis:entry colname="col7">BDSNP</oasis:entry>
         <oasis:entry colname="col8">Mech.</oasis:entry>
         <oasis:entry colname="col9">YL</oasis:entry>
         <oasis:entry colname="col10">BDSNP</oasis:entry>
         <oasis:entry colname="col11">Mech.</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col11">May </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">California</oasis:entry>
         <oasis:entry colname="col3">0.86</oasis:entry>
         <oasis:entry colname="col4">0.86</oasis:entry>
         <oasis:entry colname="col5">0.85</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">35.5</oasis:entry>
         <oasis:entry colname="col10">35.4</oasis:entry>
         <oasis:entry colname="col11">33.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OK-TX</oasis:entry>
         <oasis:entry colname="col3">0.19</oasis:entry>
         <oasis:entry colname="col4">0.30</oasis:entry>
         <oasis:entry colname="col5">0.30</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">32.2</oasis:entry>
         <oasis:entry colname="col10">24.3</oasis:entry>
         <oasis:entry colname="col11">25.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">MT-ND</oasis:entry>
         <oasis:entry colname="col3">0.35</oasis:entry>
         <oasis:entry colname="col4">0.34</oasis:entry>
         <oasis:entry colname="col5">0.34</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">24.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">13.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">11.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">38.3</oasis:entry>
         <oasis:entry colname="col10">35.0</oasis:entry>
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SD</oasis:entry>
         <oasis:entry colname="col3">0.15</oasis:entry>
         <oasis:entry colname="col4">0.16</oasis:entry>
         <oasis:entry colname="col5">0.16</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">13.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">11.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">27.5</oasis:entry>
         <oasis:entry colname="col10">28.6</oasis:entry>
         <oasis:entry colname="col11">25.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Great Plains</oasis:entry>
         <oasis:entry colname="col3">0.68</oasis:entry>
         <oasis:entry colname="col4">0.69</oasis:entry>
         <oasis:entry colname="col5">0.68</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">27.8</oasis:entry>
         <oasis:entry colname="col10">26.8</oasis:entry>
         <oasis:entry colname="col11">29.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">NC-SC-GA</oasis:entry>
         <oasis:entry colname="col3">0.65</oasis:entry>
         <oasis:entry colname="col4">0.65</oasis:entry>
         <oasis:entry colname="col5">0.65</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">28.9</oasis:entry>
         <oasis:entry colname="col10">27.7</oasis:entry>
         <oasis:entry colname="col11">29.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CONUS</oasis:entry>
         <oasis:entry colname="col3">0.71</oasis:entry>
         <oasis:entry colname="col4">0.71</oasis:entry>
         <oasis:entry colname="col5">0.70</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">38.2</oasis:entry>
         <oasis:entry colname="col10">37.3</oasis:entry>
         <oasis:entry colname="col11">38.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col11">July </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">California</oasis:entry>
         <oasis:entry colname="col3">0.78</oasis:entry>
         <oasis:entry colname="col4">0.78</oasis:entry>
         <oasis:entry colname="col5">0.79</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">40.8</oasis:entry>
         <oasis:entry colname="col10">41.3</oasis:entry>
         <oasis:entry colname="col11">41.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OK-TX</oasis:entry>
         <oasis:entry colname="col3">0.79</oasis:entry>
         <oasis:entry colname="col4">0.79</oasis:entry>
         <oasis:entry colname="col5">0.79</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">9.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">17.2</oasis:entry>
         <oasis:entry colname="col10">18.0</oasis:entry>
         <oasis:entry colname="col11">18.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">MT-ND</oasis:entry>
         <oasis:entry colname="col3">0.44</oasis:entry>
         <oasis:entry colname="col4">0.40</oasis:entry>
         <oasis:entry colname="col5">0.43</oasis:entry>
         <oasis:entry colname="col6">28.5</oasis:entry>
         <oasis:entry colname="col7">41.6</oasis:entry>
         <oasis:entry colname="col8">13.0</oasis:entry>
         <oasis:entry colname="col9">31.6</oasis:entry>
         <oasis:entry colname="col10">42.9</oasis:entry>
         <oasis:entry colname="col11">23.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SD</oasis:entry>
         <oasis:entry colname="col3">0.25</oasis:entry>
         <oasis:entry colname="col4">0.16</oasis:entry>
         <oasis:entry colname="col5">0.18</oasis:entry>
         <oasis:entry colname="col6">15.5</oasis:entry>
         <oasis:entry colname="col7">18.8</oasis:entry>
         <oasis:entry colname="col8">0.6</oasis:entry>
         <oasis:entry colname="col9">20.1</oasis:entry>
         <oasis:entry colname="col10">22.8</oasis:entry>
         <oasis:entry colname="col11">16.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Great Plains</oasis:entry>
         <oasis:entry colname="col3">0.69</oasis:entry>
         <oasis:entry colname="col4">0.71</oasis:entry>
         <oasis:entry colname="col5">0.69</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">25.4</oasis:entry>
         <oasis:entry colname="col10">20.4</oasis:entry>
         <oasis:entry colname="col11">30.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">NC-SC-GA</oasis:entry>
         <oasis:entry colname="col3">0.55</oasis:entry>
         <oasis:entry colname="col4">0.54</oasis:entry>
         <oasis:entry colname="col5">0.55</oasis:entry>
         <oasis:entry colname="col6">25.4</oasis:entry>
         <oasis:entry colname="col7">31.1</oasis:entry>
         <oasis:entry colname="col8">20.9</oasis:entry>
         <oasis:entry colname="col9">30.0</oasis:entry>
         <oasis:entry colname="col10">33.3</oasis:entry>
         <oasis:entry colname="col11">28.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CONUS</oasis:entry>
         <oasis:entry colname="col3">0.74</oasis:entry>
         <oasis:entry colname="col4">0.75</oasis:entry>
         <oasis:entry colname="col5">0.72</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">35.7</oasis:entry>
         <oasis:entry colname="col10">34.3</oasis:entry>
         <oasis:entry colname="col11">37.4</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e10334">Underestimates of soil N in some regions with an abundance of animal farms,
such as parts of Colorado, New<?pagebreak page868?> Mexico, north Texas, California, the
northeast US, and the Midwest, may be attributed to the lack of
representation of farm-level manure N management practices, in which manure
application can exceed the EPIC estimate of optimal crop demand. Farms in
the vicinity of concentrated animal units often apply N in excess of the
crop N requirements as part of the manure management strategy, typically
increasing the N emissions (Montes et al., 2013). The USDA has reported that
confined animal units or livestock production correlates with increasing
amounts of farm-level excess N (Kellogg et al., 2000; Ribaudo et al., 2016). Model representations of these practices are needed to
better estimate the impact of nitrogen in the environment.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e10344">Our implementation of a mechanistic scheme for soil N emissions in CMAQ
provides a more physically based representation of soil N than previous
parametric schemes. To our knowledge, this is the first time that soil
biogeochemical processes and emissions across a full range of nitrogen
compounds have been simulated in a physically realistic manner in a regional
photochemical model. Our mechanistic scheme<?pagebreak page869?> directly simulates nitrification
and denitrification processes, allowing it to consistently estimate soil
emissions of NO, HONO, <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Figs. 1 and 2). The
mechanistic scheme also updates the representation of the dependency of soil
N on WFPS by utilizing parameters like water content at saturation, wilting
point, and field capacity and their impact on gas diffusivity (Del Grosso et
al., 2000; Parton et al., 2001).</p>
      <p id="d1e10371">Overall, the magnitudes of soil <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions predicted by the
mechanistic scheme are similar to those predicted by the YL parametric
scheme and smaller than those predicted by the BDSNP scheme. In dry
conditions, soil NO has been shown to be the highest compared to wet
conditions with the lowest, explained by sustained high nitrification rates due
to high gas diffusivity in dry conditions (Homyak and Sickman, 2014).
Arid soils
or dry seasons with adequate soil N due to asynchrony between soil C
mineralization and nitrification have been shown to shut down plant N uptake
through high gas diffusivity, causing NO emissions to increase (Evans and
Burke, 2013; Homyak et al., 2016). The mechanistic scheme exhibits this spatial
variability in soil NO depending on dry or wet conditions, since it accounts
for their dependence on soil moisture and gas diffusivity, as well as the C
and N cycling that leads to adequate soil N.</p>
      <p id="d1e10385">Spatial patterns of <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions differ across the schemes and
episodes (Fig. 3), but generally show the highest emissions in fertilized
agricultural regions. During the episodes considered here, Texas experienced
severe to extreme drought, while parts of the northeast and Pacific
Northwest were unusually wet
(<uri>http://www.cpc.ncep.noaa.gov/products/analysis_monitoring/regional_monitoring/palmer/2011/</uri>, last access: 22 February 2019). Testing for
other time periods is needed to see how results differ during different
seasons and as drought conditions vary. Model evaluation will also depend on
the meteorological model's skill in capturing dry and wet conditions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><label>Figure 13</label><caption><p id="d1e10404">Comparison of average monthly (May and July 2011) OMI <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
column densities with CMAQ tropospheric <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column density using
YL, BDSNP, and mechanistic schemes. Regions are depicted in Fig. 12. </p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/12/849/2019/gmd-12-849-2019-f13.png"/>

      </fig>

      <p id="d1e10436">The lower emissions of the mechanistic scheme reduce the overprediction
biases for ground-based observations of ozone and PM nitrate that had been
reported by Rasool et al. (2016) for the BDSNP scheme (Figs. 6–10). The
mechanistic scheme reduced overpredictions of <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at
SEARCH sites in the southeastern US (Fig. 11). However, changes in
performance for simulating satellite observations of <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> columns were
mixed (Figs. 12–13). The underestimation of <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by CMAQ with the
mechanistic scheme in agricultural regions of the Midwest may be partially
attributed to neglecting manure management practices from livestock
operations. In the US, 60 % of nitrogen from manure produced on
animal feedlot operations cannot be applied back to the same land because it
is in “excess” of USDA advised agronomic rates. Most US counties with
animal farms have adequate crop acres not associated with animal operations,
but these are within the county, on which it is feasible to spread the excess manure
at agronomic rates at certain additional cost. However, 20 % of the
total US on-farm excess manure nitrogen is produced in counties with
insufficient cropland for its application at agronomic rates (Gollehon et
al., 2001). For areas without adequate land, alternatives to local land
application such as energy production (for example, biofuel) are needed. In
the absence of such a mitigation strategy, excess manure N applied on soil
contributes to reactive N emissions and leaching (Ribaudo et
al., 2003, 2012).</p>
      <p id="d1e10472">Although this work represents the most process-based representation of soil
N ever introduced to a regional photochemical model, limitations remain.
EPIC still lacks a complete representation of farming management practices
like excess N applied as part of a nutrient management strategy for livestock, which
can increase soil N pools and associated emissions. Developing and
evaluating these models to address management decisions is challenging as
they are often regionally specific and based on expert knowledge including
regional and global economics and biogeochemical processes that have yet to
be codified into a predictive system. Some aspects of soil N<?pagebreak page870?> biogeochemistry
remain insufficiently understood, especially as they relate to HONO
emissions. Nevertheless, the mechanistic approach introduced here will make
it possible to incorporate future advancements in understanding C and N
cycling processes.</p>
      <p id="d1e10475">For future work, there is a need for more accurate representation of actual
farming practices beyond the generalizations made by the EPIC model. Model
development should be continued to better constrain N sources such as rock
weathering, which are still ignored for estimating soil N emissions.
Recently, Houlton et al. (2018) postulated that bedrock weathering can
contribute an additional 6 %–17 % to global inorganic soil N for different
natural biomes. There is also a need for more field observations of soil N
emissions to better evaluate the spatial and temporal patterns simulated by
the models.
<?xmltex \hack{\newpage}?></p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e10484">The modified and new source code, inputs, and sample outputs along with the
user manual giving details on implementing the new mechanistic module
in-line with CMAQ version 5.1, as used in this work, are available on the Oak
Ridge National Laboratory Distributed Active Archive Center for
Bio-geochemical Dynamics (Rasool et al., 2018; <ext-link xlink:href="https://doi.org/10.3334/ORNLDAAC/1661" ext-link-type="DOI">10.3334/ORNLDAAC/1661</ext-link>). Source codes for CMAQ version 5.1
and FEST-C version 1.2 are both open source and available with applicable free
registration at <uri>http://www.cmascenter.org</uri> (last access: 22 February 2019). The Advanced Research
WRF model (ARW) version 3.7 used in this study is also available as a free
open-source resource at <uri>http://www2.mmm.ucar.edu/wrf/users/download/get_source.html</uri> (last access: 22 February 2019).</p>
  </notes><?xmltex \hack{\clearpage}?><app-group>

<?pagebreak page871?><app id="App1.Ch1.S1">
  <title/>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.T1"><?xmltex \hack{\hsize\textwidth}?><label>Table AA.1</label><caption><p id="d1e10508">List of 24 MODIS soil-biome-based Cmic, Nmic,
and HONO<inline-formula><mml:math id="M429" display="inline"><mml:msub><mml:mi/><mml:mi>f</mml:mi></mml:msub></mml:math></inline-formula>
emission factors (%) derived from Xu et al. (2013) and Oswald et al. (2013).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="28.452756pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="113.811024pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="56.905512pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="56.905512pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="56.905512pt"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="56.905512pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">MODIS <?xmltex \hack{\hfill\break}?>land cover</oasis:entry>
         <oasis:entry colname="col3">Köppen main<?xmltex \hack{\hfill\break}?>climate<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Cmic %</oasis:entry>
         <oasis:entry colname="col5">Nmic %</oasis:entry>
         <oasis:entry colname="col6">HONO<inline-formula><mml:math id="M432" display="inline"><mml:msub><mml:mi/><mml:mi>f</mml:mi></mml:msub></mml:math></inline-formula>  %</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1 <?xmltex \hack{\hfill\break}?>2 <?xmltex \hack{\hfill\break}?>3 <?xmltex \hack{\hfill\break}?>4 <?xmltex \hack{\hfill\break}?>5 <?xmltex \hack{\hfill\break}?>6 <?xmltex \hack{\hfill\break}?>7 <?xmltex \hack{\hfill\break}?>8 <?xmltex \hack{\hfill\break}?>9 <?xmltex \hack{\hfill\break}?>10 <?xmltex \hack{\hfill\break}?>11 <?xmltex \hack{\hfill\break}?>12 <?xmltex \hack{\hfill\break}?>13 <?xmltex \hack{\hfill\break}?>14 <?xmltex \hack{\hfill\break}?>15 <?xmltex \hack{\hfill\break}?>16 <?xmltex \hack{\hfill\break}?>17 <?xmltex \hack{\hfill\break}?>18 <?xmltex \hack{\hfill\break}?>19 <?xmltex \hack{\hfill\break}?>20 <?xmltex \hack{\hfill\break}?>21 <?xmltex \hack{\hfill\break}?>22 <?xmltex \hack{\hfill\break}?>23 <?xmltex \hack{\hfill\break}?>24</oasis:entry>
         <oasis:entry colname="col2">Water <?xmltex \hack{\hfill\break}?>Permanent wetland <?xmltex \hack{\hfill\break}?>Snow and ice <?xmltex \hack{\hfill\break}?>Barren <?xmltex \hack{\hfill\break}?>Unclassified <?xmltex \hack{\hfill\break}?>Barren <?xmltex \hack{\hfill\break}?>Closed shrubland <?xmltex \hack{\hfill\break}?>Open shrubland <?xmltex \hack{\hfill\break}?>Open shrub land <?xmltex \hack{\hfill\break}?>Grassland <?xmltex \hack{\hfill\break}?>Savanna <?xmltex \hack{\hfill\break}?>Savanna <?xmltex \hack{\hfill\break}?>Grassland <?xmltex \hack{\hfill\break}?>Woody savanna <?xmltex \hack{\hfill\break}?>Mixed forest <?xmltex \hack{\hfill\break}?>Evergreen broadleaf forest <?xmltex \hack{\hfill\break}?>Deciduous broadleaf forest <?xmltex \hack{\hfill\break}?>Deciduous needle. forest <?xmltex \hack{\hfill\break}?>Evergreen needle. forest <?xmltex \hack{\hfill\break}?>Deciduous broadleaf forest <?xmltex \hack{\hfill\break}?>Evergreen broadleaf forest <?xmltex \hack{\hfill\break}?>Cropland <?xmltex \hack{\hfill\break}?>Urban and built-up lands <?xmltex \hack{\hfill\break}?>Cropland–nat. veg. mosaic</oasis:entry>
         <oasis:entry colname="col3">– <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>D, E <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>A, B, C <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>A, B, C <?xmltex \hack{\hfill\break}?>D ,E <?xmltex \hack{\hfill\break}?>D, E <?xmltex \hack{\hfill\break}?>D, E <?xmltex \hack{\hfill\break}?>A, B, C <?xmltex \hack{\hfill\break}?>A, B, C <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>C, D, E <?xmltex \hack{\hfill\break}?>C, D, E <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>A, B <?xmltex \hack{\hfill\break}?>A, B <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>– <?xmltex \hack{\hfill\break}?>–</oasis:entry>
         <oasis:entry colname="col4">0 <?xmltex \hack{\hfill\break}?>1.20 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>5.02 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>5.02 <?xmltex \hack{\hfill\break}?>1.43 <?xmltex \hack{\hfill\break}?>1.43 <?xmltex \hack{\hfill\break}?>1.43 <?xmltex \hack{\hfill\break}?>2.09 <?xmltex \hack{\hfill\break}?>1.66 <?xmltex \hack{\hfill\break}?>1.66 <?xmltex \hack{\hfill\break}?>2.09 <?xmltex \hack{\hfill\break}?>2.09 <?xmltex \hack{\hfill\break}?>1.29 <?xmltex \hack{\hfill\break}?>0.99 <?xmltex \hack{\hfill\break}?>1.16 <?xmltex \hack{\hfill\break}?>1.79 <?xmltex \hack{\hfill\break}?>1.76 <?xmltex \hack{\hfill\break}?>1.16 <?xmltex \hack{\hfill\break}?>0.99 <?xmltex \hack{\hfill\break}?>1.67 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>1.46</oasis:entry>
         <oasis:entry colname="col5">0 <?xmltex \hack{\hfill\break}?>2.58 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>5.72 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>5.72 <?xmltex \hack{\hfill\break}?>2.33 <?xmltex \hack{\hfill\break}?>2.33 <?xmltex \hack{\hfill\break}?>2.33 <?xmltex \hack{\hfill\break}?>4.28 <?xmltex \hack{\hfill\break}?>3.61 <?xmltex \hack{\hfill\break}?>3.61 <?xmltex \hack{\hfill\break}?>4.28 <?xmltex \hack{\hfill\break}?>4.28 <?xmltex \hack{\hfill\break}?>2.8 <?xmltex \hack{\hfill\break}?>2.62 <?xmltex \hack{\hfill\break}?>2.42 <?xmltex \hack{\hfill\break}?>3.08 <?xmltex \hack{\hfill\break}?>4.18 <?xmltex \hack{\hfill\break}?>2.42 <?xmltex \hack{\hfill\break}?>2.62 <?xmltex \hack{\hfill\break}?>2.53 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>2.62</oasis:entry>
         <oasis:entry colname="col6">0 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>48 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>48 <?xmltex \hack{\hfill\break}?>35.5 <?xmltex \hack{\hfill\break}?>41 <?xmltex \hack{\hfill\break}?>41 <?xmltex \hack{\hfill\break}?>22 <?xmltex \hack{\hfill\break}?>41 <?xmltex \hack{\hfill\break}?>41 <?xmltex \hack{\hfill\break}?>22 <?xmltex \hack{\hfill\break}?>41 <?xmltex \hack{\hfill\break}?>13 <?xmltex \hack{\hfill\break}?>9 <?xmltex \hack{\hfill\break}?>11 <?xmltex \hack{\hfill\break}?>8.5 <?xmltex \hack{\hfill\break}?>8.5 <?xmltex \hack{\hfill\break}?>11 <?xmltex \hack{\hfill\break}?>9 <?xmltex \hack{\hfill\break}?>42.9 <?xmltex \hack{\hfill\break}?>0 <?xmltex \hack{\hfill\break}?>43.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e10520"><inline-formula><mml:math id="M430" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> A – equatorial, B – arid, C – warm temperature, D – snow, E – polar</p></table-wrap-foot></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T2" specific-use="star"><label>Table AA.2</label><caption><p id="d1e10899">Mapping table to create the MODIS 24 soil biome map based on NLCD40
MODIS land cover categories for updated BDSNP parameterization.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NLCD ID</oasis:entry>
         <oasis:entry colname="col2">NLCD40 MODIS category (40)</oasis:entry>
         <oasis:entry colname="col3">MODIS ID</oasis:entry>
         <oasis:entry colname="col4">Soil biome category (24)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">Evergreen needleleaf forest</oasis:entry>
         <oasis:entry colname="col3">19</oasis:entry>
         <oasis:entry colname="col4">Evergreen needleleaf forest</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">Evergreen broadleaf forest</oasis:entry>
         <oasis:entry colname="col3">16 and 21</oasis:entry>
         <oasis:entry colname="col4">Evergreen broadleaf forest</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">Deciduous needleleaf forest</oasis:entry>
         <oasis:entry colname="col3">18</oasis:entry>
         <oasis:entry colname="col4">Dec. needleleaf forest</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">Deciduous broadleaf forest</oasis:entry>
         <oasis:entry colname="col3">17 and 20</oasis:entry>
         <oasis:entry colname="col4">Dec. broadleaf forest</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">Mixed forests</oasis:entry>
         <oasis:entry colname="col3">15</oasis:entry>
         <oasis:entry colname="col4">Mixed forest</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">Closed shrublands</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">Closed shrublands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">Open shrublands</oasis:entry>
         <oasis:entry colname="col3">8 and 9</oasis:entry>
         <oasis:entry colname="col4">Open shrublands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2">Woody savannas</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">Woody savanna</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2">Savannas</oasis:entry>
         <oasis:entry colname="col3">11 and 12</oasis:entry>
         <oasis:entry colname="col4">Savanna</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">Grasslands</oasis:entry>
         <oasis:entry colname="col3">10 and 13</oasis:entry>
         <oasis:entry colname="col4">Grassland</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11</oasis:entry>
         <oasis:entry colname="col2">Permanent wetlands</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">Permanent wetland</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">12</oasis:entry>
         <oasis:entry colname="col2">Croplands</oasis:entry>
         <oasis:entry colname="col3">22</oasis:entry>
         <oasis:entry colname="col4">Cropland</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13</oasis:entry>
         <oasis:entry colname="col2">Urban and built up</oasis:entry>
         <oasis:entry colname="col3">23</oasis:entry>
         <oasis:entry colname="col4">Urban and built-up lands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14</oasis:entry>
         <oasis:entry colname="col2">Cropland–natural vegetation mosaic</oasis:entry>
         <oasis:entry colname="col3">24</oasis:entry>
         <oasis:entry colname="col4">Cropland–nat. veg. mosaic</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15</oasis:entry>
         <oasis:entry colname="col2">Permanent snow and ice</oasis:entry>
         <oasis:entry colname="col3">3</oasis:entry>
         <oasis:entry colname="col4">Snow and ice</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">16</oasis:entry>
         <oasis:entry colname="col2">Barren or sparsely vegetated</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">Barren</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">17</oasis:entry>
         <oasis:entry colname="col2">IGBP water</oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
         <oasis:entry colname="col4">Water</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18</oasis:entry>
         <oasis:entry colname="col2">Unclassified</oasis:entry>
         <oasis:entry colname="col3">4</oasis:entry>
         <oasis:entry colname="col4">Barren<inline-formula><mml:math id="M434" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">19</oasis:entry>
         <oasis:entry colname="col2">Fill value</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">Unclassified<inline-formula><mml:math id="M435" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">20</oasis:entry>
         <oasis:entry colname="col2">Open Water</oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
         <oasis:entry colname="col4">Water</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">21</oasis:entry>
         <oasis:entry colname="col2">Perennial ice–snow</oasis:entry>
         <oasis:entry colname="col3">3</oasis:entry>
         <oasis:entry colname="col4">Snow and ice</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">22</oasis:entry>
         <oasis:entry colname="col2">Developed open space</oasis:entry>
         <oasis:entry colname="col3">23</oasis:entry>
         <oasis:entry colname="col4">Urban and built-up lands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">23</oasis:entry>
         <oasis:entry colname="col2">Developed low intensity</oasis:entry>
         <oasis:entry colname="col3">23</oasis:entry>
         <oasis:entry colname="col4">Urban and built-up lands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24</oasis:entry>
         <oasis:entry colname="col2">Developed medium intensity</oasis:entry>
         <oasis:entry colname="col3">23</oasis:entry>
         <oasis:entry colname="col4">Urban and built-up lands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">25</oasis:entry>
         <oasis:entry colname="col2">Developed high intensity</oasis:entry>
         <oasis:entry colname="col3">23</oasis:entry>
         <oasis:entry colname="col4">Urban and built-up lands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">26</oasis:entry>
         <oasis:entry colname="col2">Barren land (rock–sand–clay)</oasis:entry>
         <oasis:entry colname="col3">24</oasis:entry>
         <oasis:entry colname="col4">Cropland–nat. veg. mosaic</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">27</oasis:entry>
         <oasis:entry colname="col2">Unconsolidated shore</oasis:entry>
         <oasis:entry colname="col3">24</oasis:entry>
         <oasis:entry colname="col4">Cropland–nat. veg. mosaic</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">28</oasis:entry>
         <oasis:entry colname="col2">Deciduous forest</oasis:entry>
         <oasis:entry colname="col3">16 and 21</oasis:entry>
         <oasis:entry colname="col4">Evergreen broadleaf forest</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">29</oasis:entry>
         <oasis:entry colname="col2">Evergreen forest</oasis:entry>
         <oasis:entry colname="col3">19</oasis:entry>
         <oasis:entry colname="col4">Evergreen needleleaf forest</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">30</oasis:entry>
         <oasis:entry colname="col2">Mixed forest</oasis:entry>
         <oasis:entry colname="col3">15</oasis:entry>
         <oasis:entry colname="col4">Mixed forest</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">31</oasis:entry>
         <oasis:entry colname="col2">Dwarf scrub</oasis:entry>
         <oasis:entry colname="col3">8 and 9</oasis:entry>
         <oasis:entry colname="col4">Open shrublands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">32</oasis:entry>
         <oasis:entry colname="col2">Shrub–scrub</oasis:entry>
         <oasis:entry colname="col3">8 and 9</oasis:entry>
         <oasis:entry colname="col4">Open shrublands</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">33</oasis:entry>
         <oasis:entry colname="col2">Grassland–herbaceous</oasis:entry>
         <oasis:entry colname="col3">10 and 13</oasis:entry>
         <oasis:entry colname="col4">Grassland</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">34</oasis:entry>
         <oasis:entry colname="col2">Sedge–herbaceous</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">Woody savanna</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">35</oasis:entry>
         <oasis:entry colname="col2">Lichens</oasis:entry>
         <oasis:entry colname="col3">10 and 13</oasis:entry>
         <oasis:entry colname="col4">Grassland</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">36</oasis:entry>
         <oasis:entry colname="col2">Moss</oasis:entry>
         <oasis:entry colname="col3">10 and 13</oasis:entry>
         <oasis:entry colname="col4">Grassland</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">37</oasis:entry>
         <oasis:entry colname="col2">Pasture–hay</oasis:entry>
         <oasis:entry colname="col3">24</oasis:entry>
         <oasis:entry colname="col4">Cropland–nat. veg. mosaic</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">38</oasis:entry>
         <oasis:entry colname="col2">Cultivated crops</oasis:entry>
         <oasis:entry colname="col3">22</oasis:entry>
         <oasis:entry colname="col4">Cropland</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">39</oasis:entry>
         <oasis:entry colname="col2">Woody wetlands</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">Permanent wetland</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">40</oasis:entry>
         <oasis:entry colname="col2">Emergent herbaceous wetlands</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">Permanent wetland</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e10902"><inline-formula><mml:math id="M433" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> NLCD categories 18 and 19 were mapped as MODIS category 1 (water)
in Rasool et al. (2016), which have been corrected here.</p></table-wrap-foot></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T3" specific-use="star"><label>Table AA.3</label><caption><p id="d1e11573">Microbial <inline-formula><mml:math id="M436" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> organic biomass C and N % and <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> %
mapped to the respective NLCD40 MODIS land cover categories based on Xu et al. (2013) estimates.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NLCD ID</oasis:entry>
         <oasis:entry colname="col2">NLCD40 MODIS category (40)</oasis:entry>
         <oasis:entry colname="col3">Cmic %</oasis:entry>
         <oasis:entry colname="col4">Nmic %</oasis:entry>
         <oasis:entry colname="col5">HONO<inline-formula><mml:math id="M440" display="inline"><mml:msub><mml:mi/><mml:mi>f</mml:mi></mml:msub></mml:math></inline-formula>  %</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">Evergreen needleleaf forest</oasis:entry>
         <oasis:entry colname="col3">1.76</oasis:entry>
         <oasis:entry colname="col4">4.18</oasis:entry>
         <oasis:entry colname="col5">8.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">Evergreen broadleaf forest</oasis:entry>
         <oasis:entry colname="col3">0.99</oasis:entry>
         <oasis:entry colname="col4">2.62</oasis:entry>
         <oasis:entry colname="col5">9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">Deciduous needleleaf forest</oasis:entry>
         <oasis:entry colname="col3">1.79</oasis:entry>
         <oasis:entry colname="col4">3.08</oasis:entry>
         <oasis:entry colname="col5">8.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">Deciduous broadleaf forest</oasis:entry>
         <oasis:entry colname="col3">1.16</oasis:entry>
         <oasis:entry colname="col4">2.42</oasis:entry>
         <oasis:entry colname="col5">11</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">Mixed forests</oasis:entry>
         <oasis:entry colname="col3">1.29</oasis:entry>
         <oasis:entry colname="col4">2.80</oasis:entry>
         <oasis:entry colname="col5">13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">Closed shrublands</oasis:entry>
         <oasis:entry colname="col3">1.43</oasis:entry>
         <oasis:entry colname="col4">2.33</oasis:entry>
         <oasis:entry colname="col5">35.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">Open shrublands</oasis:entry>
         <oasis:entry colname="col3">1.43</oasis:entry>
         <oasis:entry colname="col4">2.33</oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2">Woody savannas</oasis:entry>
         <oasis:entry colname="col3">2.09</oasis:entry>
         <oasis:entry colname="col4">4.28</oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2">Savannas</oasis:entry>
         <oasis:entry colname="col3">1.66</oasis:entry>
         <oasis:entry colname="col4">3.61</oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2">Grasslands</oasis:entry>
         <oasis:entry colname="col3">2.09</oasis:entry>
         <oasis:entry colname="col4">4.28</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11</oasis:entry>
         <oasis:entry colname="col2">Permanent wetlands</oasis:entry>
         <oasis:entry colname="col3">1.2</oasis:entry>
         <oasis:entry colname="col4">2.58</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">12</oasis:entry>
         <oasis:entry colname="col2">Croplands</oasis:entry>
         <oasis:entry colname="col3">1.67</oasis:entry>
         <oasis:entry colname="col4">2.53</oasis:entry>
         <oasis:entry colname="col5">42.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13</oasis:entry>
         <oasis:entry colname="col2">Urban and built up</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14</oasis:entry>
         <oasis:entry colname="col2">Cropland–natural vegetation mosaic</oasis:entry>
         <oasis:entry colname="col3">1.46</oasis:entry>
         <oasis:entry colname="col4">2.62</oasis:entry>
         <oasis:entry colname="col5">43.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15</oasis:entry>
         <oasis:entry colname="col2">Permanent snow and ice</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">16</oasis:entry>
         <oasis:entry colname="col2">Barren or sparsely vegetated</oasis:entry>
         <oasis:entry colname="col3">5.02</oasis:entry>
         <oasis:entry colname="col4">5.72</oasis:entry>
         <oasis:entry colname="col5">48</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">17</oasis:entry>
         <oasis:entry colname="col2">IGBP water</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18</oasis:entry>
         <oasis:entry colname="col2">Unclassified</oasis:entry>
         <oasis:entry colname="col3">5.02</oasis:entry>
         <oasis:entry colname="col4">5.72</oasis:entry>
         <oasis:entry colname="col5">48</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">19</oasis:entry>
         <oasis:entry colname="col2">Fill value</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">20</oasis:entry>
         <oasis:entry colname="col2">Open water</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">21</oasis:entry>
         <oasis:entry colname="col2">Perennial ice–snow</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">22</oasis:entry>
         <oasis:entry colname="col2">Developed open space</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">23</oasis:entry>
         <oasis:entry colname="col2">Developed low intensity</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">24</oasis:entry>
         <oasis:entry colname="col2">Developed medium intensity</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">25</oasis:entry>
         <oasis:entry colname="col2">Developed high intensity</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">26</oasis:entry>
         <oasis:entry colname="col2">Barren land (rock–sand–clay)<inline-formula><mml:math id="M441" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">27</oasis:entry>
         <oasis:entry colname="col2">Unconsolidated shore<inline-formula><mml:math id="M442" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">28</oasis:entry>
         <oasis:entry colname="col2">Deciduous forest</oasis:entry>
         <oasis:entry colname="col3">0.99</oasis:entry>
         <oasis:entry colname="col4">2.62</oasis:entry>
         <oasis:entry colname="col5">9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">29</oasis:entry>
         <oasis:entry colname="col2">Evergreen forest</oasis:entry>
         <oasis:entry colname="col3">1.76</oasis:entry>
         <oasis:entry colname="col4">4.18</oasis:entry>
         <oasis:entry colname="col5">8.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">30</oasis:entry>
         <oasis:entry colname="col2">Mixed forest</oasis:entry>
         <oasis:entry colname="col3">1.29</oasis:entry>
         <oasis:entry colname="col4">2.8</oasis:entry>
         <oasis:entry colname="col5">13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">31</oasis:entry>
         <oasis:entry colname="col2">Dwarf scrub</oasis:entry>
         <oasis:entry colname="col3">1.43</oasis:entry>
         <oasis:entry colname="col4">2.33</oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">32</oasis:entry>
         <oasis:entry colname="col2">Shrub–scrub</oasis:entry>
         <oasis:entry colname="col3">1.43</oasis:entry>
         <oasis:entry colname="col4">2.33</oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">33</oasis:entry>
         <oasis:entry colname="col2">Grassland–herbaceous</oasis:entry>
         <oasis:entry colname="col3">2.09</oasis:entry>
         <oasis:entry colname="col4">4.28</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">34</oasis:entry>
         <oasis:entry colname="col2">Sedge–herbaceous</oasis:entry>
         <oasis:entry colname="col3">2.09</oasis:entry>
         <oasis:entry colname="col4">4.28</oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">35</oasis:entry>
         <oasis:entry colname="col2">Lichens</oasis:entry>
         <oasis:entry colname="col3">2.09</oasis:entry>
         <oasis:entry colname="col4">4.28</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">36</oasis:entry>
         <oasis:entry colname="col2">Moss</oasis:entry>
         <oasis:entry colname="col3">2.09</oasis:entry>
         <oasis:entry colname="col4">4.28</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">37</oasis:entry>
         <oasis:entry colname="col2">Pasture–hay<inline-formula><mml:math id="M443" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">43.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">38</oasis:entry>
         <oasis:entry colname="col2">Cultivated crops<inline-formula><mml:math id="M444" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">0</oasis:entry>
         <oasis:entry colname="col5">42.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">39</oasis:entry>
         <oasis:entry colname="col2">Woody wetlands</oasis:entry>
         <oasis:entry colname="col3">1.2</oasis:entry>
         <oasis:entry colname="col4">2.58</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">40</oasis:entry>
         <oasis:entry colname="col2">Emergent herbaceous wetlands</oasis:entry>
         <oasis:entry colname="col3">1.2</oasis:entry>
         <oasis:entry colname="col4">2.58</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e11602"><inline-formula><mml:math id="M438" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> NLCD classes 26 and 27 consisting of mostly rocks. <inline-formula><mml:math id="M439" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Cmic
and Nmic for US croplands classified under NLCD classes 37 and 38 are kept
as zero to prevent double counting, as they are accounted for by EPIC N
data.</p></table-wrap-foot></table-wrap>

<?xmltex \hack{\clearpage}?><supplementary-material position="anchor"><p id="d1e12431">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/gmd-12-849-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/gmd-12-849-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
</app>
  </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e12442">QZR developed the model code with JOB. QZR
performed the simulations and analysis. QZR prepared the paper
with extensive reviews and edits from JOB and DSC.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e12448">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e12454">NASA (grant number NNX15AN63G) provided the funding for this work. We
acknowledge Ellen Cooter from the U.S. EPA for her insights and invaluable
help with EPIC/FEST-C modeling. The views expressed in this article are
those of the authors and do not necessarily reflect the views or policies of
the U.S. Environmental Protection Agency.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by: Gerd A. Folberth
<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Appel, K. W., Napelenok, S. L., Foley, K. M., Pye, H. O. T., Hogrefe, C.,
Luecken, D. J., Bash, J. O., Roselle, S. J., Pleim, J. E., Foroutan, H.,
Hutzell, W. T., Pouliot, G. A., Sarwar, G., Fahey, K. M., Gantt, B., Gilliam,
R. C., Heath, N. K., Kang, D., Mathur, R., Schwede, D. B., Spero, T. L.,
Wong, D. C., and Young, J. O.: Description and evaluation of the Community
Multiscale Air Quality (CMAQ) modeling system version 5.1, Geosci. Model
Dev., 10, 1703–1732, <ext-link xlink:href="https://doi.org/10.5194/gmd-10-1703-2017" ext-link-type="DOI">10.5194/gmd-10-1703-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Barton, L., McLay, C., Schipper, L., and Smith, C.: Annual denitrification
rates in agricultural and forest soils: a review, Soil Res., 37, 1073–1094,
1999.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Bash, J. O., Baker, K. R., and Beaver, M. R.: Evaluation of improved land use
and canopy representation in BEIS v3.61 with biogenic VOC measurements in
California, Geosci. Model Dev., 9, 2191–2207,
<ext-link xlink:href="https://doi.org/10.5194/gmd-9-2191-2016" ext-link-type="DOI">10.5194/gmd-9-2191-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Bash, J. O., Cooter, E. J., Dennis, R. L., Walker, J. T., and Pleim, J. E.:
Evaluation of a regional air-quality model with bidirectional <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
exchange coupled to an agroecosystem model, Biogeosciences, 10, 1635–1645,
<ext-link xlink:href="https://doi.org/10.5194/bg-10-1635-2013" ext-link-type="DOI">10.5194/bg-10-1635-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Bertram, T. H., Cohen, R. C., Thorn III, W. J., and Chu, P. M.: Consistency
of ozone and nitrogen oxides standards at tropospherically relevant mixing
ratios, J. Air Waste Manage., 55, 1473–1479, 2005.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Bey, I., Jacob, D. J., Yantosca, R. M., Logan, J. A., Field, B., Fiore, A.
M., Li, Q., Liu, H., Mickley, L. J., and Schultz, M.: Global modeling of
tropospheric chemistry with assimilated meteorology: Model description and
evaluation, J. Geophys. Res., 106, 23073–23096, 2001.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Bucsela, E. J., Krotkov, N. A., Celarier, E. A., Lamsal, L. N., Swartz, W.
H., Bhartia, P. K., Boersma, K. F., Veefkind, J. P., Gleason, J. F., and
Pickering, K. E.: A new stratospheric and tropospheric <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval
algorithm for nadir-viewing satellite instruments: applications to OMI,
Atmos. Meas. Tech., 6, 2607–2626, <ext-link xlink:href="https://doi.org/10.5194/amt-6-2607-2013" ext-link-type="DOI">10.5194/amt-6-2607-2013</ext-link>,
2013.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Butterbach-Bahl, K., Baggs, E. M., Dannenmann, M., Kiese, R., and
Zechmeister-Boltenstern, S.: Nitrous oxide emissions from soils: how well do
we understand the processes and their controls?, Philos. T. R. Soc. B, 368,
20130122, <ext-link xlink:href="https://doi.org/10.1098/rstb.2013.0122" ext-link-type="DOI">10.1098/rstb.2013.0122</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Cameron, K., Di, H. J., and Moir, J.: Nitrogen losses from the soil/plant
system: a review, Ann. Appl. Biol., 162, 145–173, 2013.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Cao, P., Lu, C., and Yu, Z.: Agricultural nitrogen fertilizer uses in the continental
US during 1850–2015: a set of gridded time-series data, PANGAEA,
<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.883585" ext-link-type="DOI">10.1594/PANGAEA.883585</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Conrad, R.: Microbiological and biochemical background of production and
consumption of NO and <inline-formula><mml:math id="M447" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in soil, in: Trace gas exchange in forest
ecosystems, Springer, 2002.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Cooper, O. R., Parrish, D. D., Ziemke, J., Balashov, N. V., Cupeiro, M.,
Galbally, I. E., Gilge, S., Horowitz, L., Jensen, N. R., Lamarque, J. F., and
Naik, V.: Global distribution and trends of tropospheric ozone: An
observation-based review, Elementa, 2, <ext-link xlink:href="https://doi.org/10.12952/journal.elementa.000029" ext-link-type="DOI">10.12952/journal.elementa.000029</ext-link>,
2014.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Cooter, E. J., Bash, J. O., Benson, V., and Ran, L.: Linking agricultural
crop management and air quality models for regional to national-scale
nitrogen assessments, Biogeosciences, 9, 4023–4035,
<ext-link xlink:href="https://doi.org/10.5194/bg-9-4023-2012" ext-link-type="DOI">10.5194/bg-9-4023-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Davidson, E. A. and Verchot, L. V.: Testing the Hole-in-the-Pipe Model of
nitric and nitrous oxide emissions from soils using the TRAGNET Database,
Global Biogeochem. Cy., 14, 1035–1043, 2000.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Davidson, E. and Kingerlee, W.: A global inventory of nitric oxide emissions
from soils, Nutr. Cycl. Agroecosys., 48, 37–50,
<ext-link xlink:href="https://doi.org/10.1023/A:1009738715891" ext-link-type="DOI">10.1023/A:1009738715891</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>
Davidson,  E.  A.,  David,  M.  B.,  Galloway,  J.  N.,  Goodale,  C.  L., Haeuber,  R.,
Harrison,  J.  A.,  Howarth,  R.W.,  Jaynes,  D.  B., Lowrance, R. R., Nolan, B. T.,
Peel, J. L., Pinder, R. W., Porter, E.,  Snyder,  C.  S.,  Townsend,  A.  R.,
and  Ward,  M.  H.:  Excess nitrogen in the U.S. environment: trends, risks,
and solutions, Issues in Ecology, Report Number 15, Ecological Society of America, 1–16, 2012.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Davidson, E.: Pulses of nitric oxide and nitrous oxide flux following
wetting of dry soil: an assessment of probable sources and importance
relative to annual fluxes, Ecol. Bull., 42, 149–155, 1992.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Del Grosso, S., Parton, W., Mosier, A., Ojima, D., Kulmala, A., and
Phongpan, S.: General model for <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gas emissions from
soils due to dentrification, Global Biogeochem. Cy., 14, 1045–1060, 2000.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Evans, S. E. and Burke, I. C.: Carbon and nitrogen decoupling under an
11-year drought in the shortgrass steppe, Ecosystems, 16, 20–33, 2013.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Firestone, M. K. and Davidson, E. A.: Microbiological basis of NO and
<inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
production and consumption in soil, Life Sci. R., 47, 7–21, 1989.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Frink, C. R., Waggoner, P. E., and Ausubel, J. H.: Nitrogen fertilizer:
retrospect and prospect, P. Natl. Acad. Sci. USA, 96, 1175–1180, 1999.</mixed-citation></ref>
      <?pagebreak page875?><ref id="bib1.bib22"><label>22</label><mixed-citation>Gaillard, R. K., Jones, C. D., Ingraham, P., Collier, S., Izaurralde, R. C.,
Jokela, W., Osterholz, W., Salas, W., Vadas, P., and Ruark, M.:
Underestimation of <inline-formula><mml:math id="M451" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions in a comparison of the DayCent,
DNDC, and EPIC models, Ecol. Appl., 28, 694–708, 2018.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Geddes, J. A., Heald, C. L., Silva, S. J., and Martin, R. V.: Land cover
change impacts on atmospheric chemistry: simulating projected large-scale
tree mortality in the United States, Atmos. Chem. Phys., 16, 2323–2340,
<ext-link xlink:href="https://doi.org/10.5194/acp-16-2323-2016" ext-link-type="DOI">10.5194/acp-16-2323-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Gödde, M. and Conrad, R.: Influence of soil properties on the turnover
of nitric oxide and nitrous oxide by nitrification and denitrification at
constant temperature and moisture, Biol. Fert. Soils, 32, 120–128, 2000.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Gollehon, N. R., Caswell, M., Ribaudo, M., Kellogg, R. L., Lander, C., and
Letson, D.: Confined Animal Production and Manure Nutrients. Washington, DC,
U.S. Department of Agriculture, Economic Research Service, Agriculture Information Bulletin 771,
available at:
<uri>https://ageconsearch.umn.edu/record/33763</uri> (last access: 22 February 2019), 2001.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Griffis, T. J., Chen, Z., Baker, J. M., Wood, J. D., Millet, D. B., Lee, X.,
Venterea, R. T., and Turner, P. A.: Nitrous oxide emissions are enhanced in a
warmer and wetter world, P. Natl. Acad. Sci. USA, 114, 12081–12085, 2017.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Heil, J., Vereecken, H., and Brüggemann, N.: A review of chemical
reactions of nitrification intermediates and their role in nitrogen cycling
and nitrogen trace gas formation in soil, Eur. J. Soil Sci., 67, 23–39,
2016.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Hickman, J. E., Wu, S., Mickley, L. J., and Lerdau, M. T.: Kudzu (Pueraria
montana) invasion doubles emissions of nitric oxide and increases ozone
pollution, P. Natl. Acad. Sci. USA, 107, 10115–10119, 2010.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Holmes, N. S.: A review of particle formation events and growth in the
atmosphere in the various environments and discussion of mechanistic
implications, Atmos. Environ., 41, 2183–2201, 2007.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Homyak, P. M. and Sickman, J. O.: Influence of soil moisture on the
seasonality of nitric oxide emissions from chaparral soils, Sierra Nevada,
California, USA, J. Arid Environ., 103, 46–52, 2014.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Homyak, P. M., Blankinship, J. C., Marchus, K., Lucero, D. M., Sickman, J.
O., and Schimel, J. P.: Aridity and plant uptake interact to make dryland
soils hotspots for nitric oxide (NO) emissions, P. Natl. Acad. Sci. USA, 113,
E2608–E2616, 2016.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Houlton, B., Morford, S., and Dahlgren, R.: Convergent evidence for
widespread rock nitrogen sources in Earth's surface environment, Science,
360, 58–62, 2018.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>
Hu, H. W., Chen, D., and He, J. Z.: Microbial regulation of terrestrial nitrous oxide formation:
Understanding the biological pathways for prediction of emission rates,
FEMS Microbiol. Rev., 39, 729–749, 2015.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Hudman, R. C., Moore, N. E., Mebust, A. K., Martin, R. V., Russell, A. R.,
Valin, L. C., and Cohen, R. C.: Steps towards a mechanistic model of global
soil nitric oxide emissions: implementation and space based-constraints,
Atmos. Chem. Phys., 12, 7779–7795, <ext-link xlink:href="https://doi.org/10.5194/acp-12-7779-2012" ext-link-type="DOI">10.5194/acp-12-7779-2012</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>Hudman, R. C., Russell, A. R., Valin, L. C., and Cohen, R. C.: Interannual
variability in soil nitric oxide emissions over the United States as viewed
from space, Atmos. Chem. Phys., 10, 9943–9952,
<ext-link xlink:href="https://doi.org/10.5194/acp-10-9943-2010" ext-link-type="DOI">10.5194/acp-10-9943-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Hutchinson, G. and Brams, E.: NO versus <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions from an <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>-amended
Bermuda grass pasture, J. Geophys. Res.-Atmos., 97, 9889–9896, 1992.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>IPCC: Climate Change 2013: The Physical Science Basis, Working Group I
Contribution to the Fifth Assessment Report of the Intergovernmental Panel on
Climate Change, edited by: Stocker, T. F.,  Qin, D.,  Plattner, G.-K.,  Tignor, M.,
Allen, S. K.,  Boschung, J.,  Nauels, A. Xia, Y.,  Bex, V., and  Midgley, P. M.,
Cambridge University Press, Cambridge, UK, 2013.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Izaurralde, R. C., McGill, W. B., Williams, J. R., Jones, C. D., Link, R.
P., Manowitz, D. H., Schwab, D. E., Zhang, X., Robertson, G. P., and Millar,
N.: Simulating microbial denitrification with EPIC: Model description and
evaluation, Ecol. Model., 359, 349–362, 2017.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Izaurralde, R. C., McGill, W. B., and Williams, J.: Development and
application of the EPIC model for carbon cycle, greenhouse gas mitigation,
and biofuel studies, in: Managing Agricultural Greenhouse Gases, Elsevier,
2012.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Izaurralde, R., Williams, J. R., Mcgill, W. B., Rosenberg, N. J., and Jakas,
M. Q.: Simulating soil C dynamics with EPIC: Model description and testing
against long-term data, Ecol. Model., 192, 362–384, 2006.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Jaeglé, L., Martin, R. V., Chance, K., Steinberger, L., Kurosu, T. P.,
Jacob, D. J., Modi, A. I., Yoboué, V., Sigha-Nkamdjou, L., and
Galy-Lacaux, C.: Satellite mapping of rain-induced nitric oxide emissions
from soils, J. Geophys. Res.-Atmos., 109, D21310, <ext-link xlink:href="https://doi.org/10.1029/2004JD004787" ext-link-type="DOI">10.1029/2004JD004787</ext-link>,
2004.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Jaeglé, L., Steinberger, L., Martin, R. V., and Chance, K.: Global
partitioning of <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> sources using satellite observations: Relative
roles of fossil fuel combustion, biomass burning and soil emissions, Faraday
Discuss., 130, 407–423, 2005.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Jiang, Z., McDonald, B. C., Worden, H., Worden, J. R., Miyazaki, K., Qu, Z., Henze, D. K.,
Jones, D. B., Arellano, A. F., and Fischer, E. V.: Unexpected slowdown of
US pollutant emission reduction in the past decade,
P. Natl. Acad. Sci. USA, 115, 201801191, <ext-link xlink:href="https://doi.org/10.1073/pnas.1801191115" ext-link-type="DOI">10.1073/pnas.1801191115</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Kampa, M. and Castanas, E.: Human health effects of air pollution,
Environ. Pollut., 151, 362–367, 2008.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Kellogg, R. L., Lander, C. H., Moffitt, D. C., and Gollehon, N.: Manure
nutrients relative to the capacity of cropland and pastureland to assimilate
nutrients: Spatial and temporal trends for the United States, Proceedings of
the Water Environment Federation, 2000, 18–157, 2000.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Kesik, M., Blagodatsky, S., Papen, H., and Butterbach-Bahl, K.: Effect of
pH, temperature and substrate on <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, NO and <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production
by Alcaligenes faecalis p, J. Appl. Microbiol., 101, 655–667, 2006.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Kim, H. C., Lee, P., Judd, L., Pan, L., and Lefer, B.: OMI <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column
densities over North American urban cities: the effect of satellite footprint
resolution, Geosci. Model Dev., 9, 1111–1123,
<ext-link xlink:href="https://doi.org/10.5194/gmd-9-1111-2016" ext-link-type="DOI">10.5194/gmd-9-1111-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Kottek, M., Grieser, J., Beck, C., Rudolf, B., and Rubel, F.: World Map of
the Köppen-Geiger climate classification updated, Meteorol. Z., 15,
259–263, <ext-link xlink:href="https://doi.org/10.1127/0941-2948/2006/0130" ext-link-type="DOI">10.1127/0941-2948/2006/0130</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>Kwok, R., Napelenok, S., and Baker, K.: Implementation and evaluation of
PM<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> source contribution analysis in a photochemical model, Atmos.
Environ., 80, 398–407, 2013.</mixed-citation></ref>
      <?pagebreak page876?><ref id="bib1.bib50"><label>50</label><mixed-citation>Lamsal, L. N., Krotkov, N. A., Celarier, E. A., Swartz, W. H., Pickering, K.
E., Bucsela, E. J., Gleason, J. F., Martin, R. V., Philip, S., Irie, H.,
Cede, A., Herman, J., Weinheimer, A., Szykman, J. J., and Knepp, T. N.:
Evaluation of OMI operational standard <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column retrievals using in
situ and surface-based <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations, Atmos. Chem. Phys., 14,
11587–11609, <ext-link xlink:href="https://doi.org/10.5194/acp-14-11587-2014" ext-link-type="DOI">10.5194/acp-14-11587-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>Laville, P., Lehuger, S., Loubet, B., Chaumartin, F., and Cellier, P.:
Effect of management, climate and soil conditions on <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and NO
emissions from an arable crop rotation using high temporal resolution
measurements, Agr. Forest Meteorol., 151, 228–240, 2011.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Leitner, S., Homyak, P. M., Blankinship, J. C., Eberwein, J., Jenerette, G.
D., Zechmeister-Boltenstern, S., and Schimel, J. P.: Linking NO and
<inline-formula><mml:math id="M462" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emission pulses with the mobilization of mineral and organic N
upon rewetting dry soils, Soil Biol. Biochem., 115, 461–466, 2017.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Li, Y., Schichtel, B. A., Walker, J. T., Schwede, D. B., Chen, X., Lehmann,
C. M., Puchalski, M. A., Gay, D. A., and Collett, J. L.: Increasing
importance of deposition of reduced nitrogen in the United States, P. Natl.
Acad. Sci. USA, 113, 5874–5879, 2016.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>Liu, B., Mørkved, P. T., Frostegård, Å., and Bakken, L. R.:
Denitrification gene pools, transcription and kinetics of NO, <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production as affected by soil pH, FEMS Microbiol. Ecol., 72,
407–417, 2010.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>Liu, X., Ju, X., Zhang, Y., He, C., Kopsch, J., and Fusuo, Z.: Nitrogen
deposition in agroecosystems in the Beijing area, Agriculture, Ecosystems
&amp; Environment, 113, 370–377, 2006.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Lu, C. and Tian, H.: Global nitrogen and phosphorus fertilizer use for
agriculture production in the past half century: shifted hot spots and
nutrient imbalance, Earth Syst. Sci. Data, 9, 181–192,
<ext-link xlink:href="https://doi.org/10.5194/essd-9-181-2017" ext-link-type="DOI">10.5194/essd-9-181-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>Ludwig, J., Meixner, F., Vogel, B., and Förstner, J.: Soil-air exchange
of nitric oxide: an overview of processes, environmental factors, and
modeling studies, Biogeochemistry, 52, 225–257,
<ext-link xlink:href="https://doi.org/10.1023/A:1006424330555" ext-link-type="DOI">10.1023/A:1006424330555</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Machefert, S. E., Dise, N. B., Goulding, K. W. T., and Whitehead, P. G.:
Nitrous oxide emission from a range of land uses across Europe, Hydrol. Earth
Syst. Sci., 6, 325–338, <ext-link xlink:href="https://doi.org/10.5194/hess-6-325-2002" ext-link-type="DOI">10.5194/hess-6-325-2002</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><mixed-citation>Maljanen, M., Yli-Pirilä, P., Hytönen, J., Joutsensaari, J., and
Martikainen, P. J.: Acidic northern soils as sources of atmospheric nitrous
acid (HONO), Soil Biol. Biochem., 67, 94–97, 2013.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><mixed-citation>Malm, W. C., Sisler, J. F., Huffman, D., Eldred, R. A., and Cahill, T. A.:
Spatial and seasonal trends in particle concentration and optical extinction
in the United States, J. Geophys. Res.-Atmos., 99, 1347–1370, 1994.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><mixed-citation>Mamtimin, B., Meixner, F. X., Behrendt, T., Badawy, M., and Wagner, T.: The
contribution of soil biogenic NO and HONO emissions from a managed hyperarid
ecosystem to the regional <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions during growing
season, Atmos. Chem. Phys., 16, 10175–10194,
<ext-link xlink:href="https://doi.org/10.5194/acp-16-10175-2016" ext-link-type="DOI">10.5194/acp-16-10175-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>Manzoni, S. and Porporato, A.: Soil carbon and nitrogen mineralization:
theory and models across scales, Soil Biol. Biochem., 41, 1355–1379, 2009.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><mixed-citation>Martin, R. E., Scholes, M., Mosier, A., Ojima, D., Holland, E., and Parton,
W.: Controls on annual emissions of nitric oxide from soils of the Colorado
shortgrass steppe, Global Biogeochem. Cy., 12, 81–91, 1998.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>Medinets, S., Skiba, U., Rennenberg, H., and Butterbach-Bahl, K.: A review
of soil NO transformation: Associated processes and possible physiological
significance on organisms, Soil Biol. Biochem., 80, 92–117, 2015.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>Moldrup, P., Olesen, T., Yoshikawa, S., Komatsu, T., and Rolston, D. E.:
Three-porosity model for predicting the gas diffusion coefficient in
undisturbed soil, Soil Sci. Soc. Am. J., 68, 750–759, 2004.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><mixed-citation>Montes, F., Meinen, R., Dell, C., Rotz, A., Hristov, A., Oh, J., Waghorn,
G., Gerber, P., Henderson, B., and Makkar, H.: SPECIAL TOPICS – mitigation
of methane and nitrous oxide emissions from animal operations: II. A review
of manure management mitigation options, J. Anim. Sci., 91, 5070–5094, 2013.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><mixed-citation>Necpálová, M., Anex, R. P., Fienen, M. N., Del Grosso, S. J.,
Castellano, M. J., Sawyer, J. E., Iqbal, J., Pantoja, J. L., and Barker, D.
W.: Understanding the DayCent model, Environ. Modell. Softw., 66, 110–130,
2015.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><mixed-citation>Neira, M.: The 2014 WHO conference on health and climate, SciELO Public Health,
<ext-link xlink:href="https://doi.org/10.2471/BLT.14.14389125177064" ext-link-type="DOI">10.2471/BLT.14.14389125177064</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><mixed-citation>
Nemitz, E., Milford, C., and Sutton, M. A.: A two–layer canopy compensation point
model for describing bi-directional biosphere–atmosphere exchange of ammonia,
Q. J. Roy. Meteor. Soc., 127, 815–833, 2001.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><mixed-citation>Oikawa, P., Ge, C., Wang, J., Eberwein, J., Liang, L., Allsman, L., Grantz,
D., and Jenerette, G.: Unusually high soil nitrogen oxide emissions influence
air quality in a high-temperature agricultural region, Nat. Commun., 6, 8753,
<ext-link xlink:href="https://doi.org/10.1038/ncomms9753" ext-link-type="DOI">10.1038/ncomms9753</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><mixed-citation>Oswald, R., Behrendt, T., Ermel, M., Wu, D., Su, H., Cheng, Y., Breuninger, C., Moravek, A.,
Mougin, E., Delon, C., Loubet, B., Pommerening-Röser, A., Sörgel, M.,
Pöschl, U., Hoffmann, T., Andreae, M. O., Meixner, F. X., and Trebs, I.:
HONO emissions from soil bacteria as a major source of atmospheric reactive nitrogen,
Science, 341, 1233–1235, <ext-link xlink:href="https://doi.org/10.1126/science.1242266" ext-link-type="DOI">10.1126/science.1242266</ext-link>,2013.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><mixed-citation>Otte, T. L. and Pleim, J. E.: The Meteorology-Chemistry Interface Processor
(MCIP) for the CMAQ modeling system: updates through MCIPv3.4.1, Geosci.
Model Dev., 3, 243–256, <ext-link xlink:href="https://doi.org/10.5194/gmd-3-243-2010" ext-link-type="DOI">10.5194/gmd-3-243-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><mixed-citation>Parrish, D., Williams, E., Fahey, D., Liu, S., and Fehsenfeld, F.:
Measurement of nitrogen oxide fluxes from soils: Intercomparison of enclosure
and gradient measurement techniques, J. Geophys. Res.-Atmos., 92, 2165–2171,
1987.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><mixed-citation>Parton, W. J., Holland, E. A., Del Grosso, S. J., Hartman, M. D., Martin, R.
E., Mosier, A. R., Ojima, D. S., and Schimel, D. S.: Generalized model for
<inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions from soils, J. Geophys. Res.-Atmos., 106,
17403–17419, <ext-link xlink:href="https://doi.org/10.1029/2001JD900101" ext-link-type="DOI">10.1029/2001JD900101</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><mixed-citation>Parton, W. J., Ojima, D. S., Cole, C. V., and Schimel, D. S.: A general
model for soil organic matter dynamics: sensitivity to litter chemistry,
texture and management, SSSA Spec. Publ., 1994, 147–167, 1994.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><mixed-citation>Pilegaard, K.: Processes regulating nitric oxide emissions from soils,
Philos. T. Roy. Soc. B, 368,   1621, <ext-link xlink:href="https://doi.org/10.1098/rstb.2013.0126" ext-link-type="DOI">10.1098/rstb.2013.0126</ext-link>, 2013.</mixed-citation></ref>
      <?pagebreak page877?><ref id="bib1.bib77"><label>77</label><mixed-citation>
Pleim, J. E. and Xiu, A.: Development of a land surface model. Part II: Data
assimilation, J. Appl. Meteorol., 42, 1811–1822, 2003.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><mixed-citation>Pleim, J. E., Bash, J. O., Walker, J. T., and Cooter, E. J.: Development and evaluation of an
ammonia bidirectional flux parameterization for air quality models,
J. Geophys. Res., 118, 3794–3806, <ext-link xlink:href="https://doi.org/10.1002/jgrd.50262" ext-link-type="DOI">10.1002/jgrd.50262</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><mixed-citation>Pope, C. A., Burnett, R. T., Krewski, D., Jerrett, M., Shi, Y., Calle, E.
E., and Thun, M. J.: Cardiovascular mortality and exposure to airborne fine
particulate matter and cigarette smoke: shape of the exposure-response
relationship, Circulation, 120, 941–948, 2009.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><mixed-citation>Potter, P., Navin, R., Elena, M. B., and Simon D. D.: Characterizing the
spatial patterns of global fertilizer application and manure production,
Earth Interact., 14, 1–22, 2010.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><mixed-citation>Pouliot, G. and Pierce, T.:  Integration of the Model of Emissionsof Gases and Aerosols from Nature (MEGAN) into the CMAQModeling System,
18th International Emission Inventory Conference, Baltimore, Maryland, 14–17 April 2009.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><mixed-citation>Pusede, S. E. and Cohen, R. C.: On the observed response of ozone to <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and VOC reactivity reductions in San Joaquin Valley California 1995–present, Atmos.
Chem. Phys., 12, 8323–8339, <ext-link xlink:href="https://doi.org/10.5194/acp-12-8323-2012" ext-link-type="DOI">10.5194/acp-12-8323-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib83"><label>83</label><mixed-citation>Rasool, Q. Z., Zhang, R., Lash, B., Cohan, D. S., Cooter, E. J., Bash, J. O.,
and Lamsal, L. N.: Enhanced representation of soil NO emissions in the
Community Multiscale Air Quality (CMAQ) model version 5.0.2, Geosci. Model
Dev., 9, 3177–3197, <ext-link xlink:href="https://doi.org/10.5194/gmd-9-3177-2016" ext-link-type="DOI">10.5194/gmd-9-3177-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</label><mixed-citation>Rasool, Q. Z., Bash, J. O., and Cohan, D. S.: Mechanistic representation of
soil nitrogen emissions in CMAQ version 5.1, ORNL DAAC, Oak Ridge, Tennessee,
USA, <ext-link xlink:href="https://doi.org/10.3334/ORNLDAAC/1661" ext-link-type="DOI">10.3334/ORNLDAAC/1661</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib85"><label>85</label><mixed-citation>Redding, M., Shorten, P., Lewis, R., Pratt, C., Paungfoo-Lonhienne, C., and
Hill, J.: Soil N availability, rather than N deposition, controls indirect
<inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions, Soil Biol. Biochem., 95, 288–298, 2016.</mixed-citation></ref>
      <ref id="bib1.bib86"><label>86</label><mixed-citation>Ribaudo, M., Key, N., and Sneeringer, S.: The potential role for a nitrogen
compliance policy in mitigating Gulf hypoxia, Appl. Econ. Perspect. P., 39,
458–478, 2016.</mixed-citation></ref>
      <ref id="bib1.bib87"><label>87</label><mixed-citation>Ribaudo, M., Livingston, M., and Williamson, J.: Nitrogen management on us
corn acres, 2001-10, United States Department of Agriculture, Economic
Research Service, 2012.</mixed-citation></ref>
      <ref id="bib1.bib88"><label>88</label><mixed-citation>Ribaudo, M., Gollehon, N., and Agapoff, J.: Land application of manure by
animal feeding operations: Is more land needed?, J. Soil Water Conserv., 58,
30–38, 2003.</mixed-citation></ref>
      <ref id="bib1.bib89"><label>89</label><mixed-citation>Robertson, G. P. and Groffman, P.: Nitrogen transformations, in: Soil
Microbiology, Ecology and Biochemistry, 3rd Edn., Elsevier, 2007.</mixed-citation></ref>
      <ref id="bib1.bib90"><label>90</label><mixed-citation>Romer, P. S., Duffey, K. C., Wooldridge, P. J., Edgerton, E., Baumann, K.,
Feiner, P. A., Miller, D. O., Brune, W. H., Koss, A. R., de Gouw, J. A.,
Misztal, P. K., Goldstein, A. H., and Cohen, R. C.:
Effects of temperature-dependent <inline-formula><mml:math id="M470" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
emissions on continental ozone production, Atmos. Chem. Phys., 18, 2601–2614, <ext-link xlink:href="https://doi.org/10.5194/acp-18-2601-2018" ext-link-type="DOI">10.5194/acp-18-2601-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib91"><label>91</label><mixed-citation>Schimel, J. P. and Weintraub, M. N.: The implications of exoenzyme activity
on microbial carbon and nitrogen limitation in soil: a theoretical model,
Soil Biol. Biochem., 35, 549–563, 2003.</mixed-citation></ref>
      <ref id="bib1.bib92"><label>92</label><mixed-citation>Schindlbacher, A., Zechmeister-Boltenstern, S., and Butterbach-Bahl, K.:
Effects of soil moisture and temperature on NO, <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
emissions from European forest soils, J. Geophys. Res.-Atmos., 109,   17302–17309,
2004.</mixed-citation></ref>
      <ref id="bib1.bib93"><label>93</label><mixed-citation>Scholes, M., Martin, R., Scholes, R., Parsons, D., and Winstead, E.: NO and
<inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions from savanna soils following the first simulated rains of
the season, Nutr. Cycl. Agroecosys., 48, 115– 122,
<ext-link xlink:href="https://doi.org/10.1023/A:1009781420199" ext-link-type="DOI">10.1023/A:1009781420199</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib94"><label>94</label><mixed-citation>Seinfeld, J. H. and  Pandis, S. N.: Atmospheric chemistry and physics:
from air pollution to climate change, John Wiley &amp; Sons, 2012.</mixed-citation></ref>
      <ref id="bib1.bib95"><label>95</label><mixed-citation>Simon, H., Reff, A., Wells, B., Xing, J., and Frank, N.: Ozone trends across
the United States over a period of decreasing <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and VOC emissions,
Environ. Sci. Technol., 49, 186–195, 2014.</mixed-citation></ref>
      <ref id="bib1.bib96"><label>96</label><mixed-citation>Skamarock, W. C., Klemp, J. B., Dudhia, J., Gill, D. O., Barker, D. M.,
Duda, M. G., Huang, X., Wang, W., and Powers, J. G.: A description of the
advanced research WRF version 3, NCAR Tech. Note, NCAR/TN-475<inline-formula><mml:math id="M475" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>STR, 8 pp.,
Natl. Cent. for Atmos. Res., Boulder, Colo., available at:
<uri>http://www.mmm.ucar.edu/wrf/users/docs/arw_v3.pdf</uri> (last access: 22 February 2019), 2008.</mixed-citation></ref>
      <ref id="bib1.bib97"><label>97</label><mixed-citation>Stehfest, E. and  Bouwman, L.: <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and NO emission from agricultural
fields and soils under natural vegetation: summarizing available measurement
data and modeling of global annual emissions, Nutr. Cycl. Agroecosys., 74,
207–228, <ext-link xlink:href="https://doi.org/10.1007/s10705-006-9000-7" ext-link-type="DOI">10.1007/s10705-006-9000-7</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib98"><label>98</label><mixed-citation>Steinkamp, J. and Lawrence, M. G.: Improvement and evaluation of simulated
global biogenic soil NO emissions in an AC-GCM, Atmos. Chem. Phys., 11,
6063–6082, <ext-link xlink:href="https://doi.org/10.5194/acp-11-6063-2011" ext-link-type="DOI">10.5194/acp-11-6063-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib99"><label>99</label><mixed-citation>Strode, S. A., Rodriguez, J. M., Logan, J. A., Cooper, O. R., Witte, J. C.,
Lamsal, L. N., Damon, M., Van Aartsen, B., Steenrod, S. D., and Strahan, S.
E.: Trends and variability in surface ozone over the United States, J.
Geophys. Res.-Atmos., 120, 9020–9042, <ext-link xlink:href="https://doi.org/10.1002/2014JD022784" ext-link-type="DOI">10.1002/2014JD022784</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib100"><label>100</label><mixed-citation>Su, H., Cheng, Y., Oswald, R., Behrendt, T., Trebs, I., Meixner, F. X.,
Andreae, M. O., Cheng, P., Zhang, Y., and Pöschl, U.: Soil nitrite as a
source of atmospheric HONO and OH radicals, Science, 333, 1616–1618, 2011.</mixed-citation></ref>
      <ref id="bib1.bib101"><label>101</label><mixed-citation>Tilman, D., Fargione, J., Wolff, B., D'antonio, C., Dobson, A., Howarth, R.,
Schindler, D., Schlesinger, W. H., Simberloff, D., and Swackhamer, D.:
Forecasting agriculturally driven global environmental change, Science, 292,
281–284, 2001.</mixed-citation></ref>
      <ref id="bib1.bib102"><label>102</label><mixed-citation>Townsend, A. R., Howarth, R. W., Bazzaz, F. A., Booth, M. S., Cleveland, C.
C., Collinge, S. K., Dobson, A. P., Epstein, P. R., Holland, E. A., and
Keeney, D. R.: Human health effects of a changing global nitrogen cycle,
Front. Ecol. Environ., 1, 240–246, 2003.</mixed-citation></ref>
      <ref id="bib1.bib103"><label>103</label><mixed-citation>Travis, K. R., Jacob, D. J., Fisher, J. A., Kim, P. S., Marais, E. A., Zhu, L., Yu, K., Miller, C. C., Yantosca, R. M., Sulprizio, M. P., Thompson, A. M., Wennberg, P. O., Crounse, J. D., St. Clair, J. M., Cohen, R. C., Laughner, J. L., Dibb, J. E., Hall, S. R., Ullmann, K., Wolfe, G. M., Pollack, I. B., Peischl, J., Neuman, J. A., and Zhou, X.: Why do models overestimate surface ozone in the Southeast United States?, Atmos. Chem. Phys., 16, 13561–13577, <ext-link xlink:href="https://doi.org/10.5194/acp-16-13561-2016" ext-link-type="DOI">10.5194/acp-16-13561-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib104"><label>104</label><mixed-citation>Venterea, R. T. and Rolston, D. E.: Mechanisms and kinetics of nitric and
nitrous oxide production during nitrification in agricultural soil, Glob.
Change Biol., 6, 303–316, 2000.</mixed-citation></ref>
      <?pagebreak page878?><ref id="bib1.bib105"><label>105</label><mixed-citation>Vinken, G. C. M., Boersma, K. F., Maasakkers, J. D., Adon, M., and Martin, R.
V.: Worldwide biogenic soil <inline-formula><mml:math id="M477" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions inferred from OMI
<inline-formula><mml:math id="M478" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations, Atmos. Chem. Phys., 14, 10363–10381,
<ext-link xlink:href="https://doi.org/10.5194/acp-14-10363-2014" ext-link-type="DOI">10.5194/acp-14-10363-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib106"><label>106</label><mixed-citation>Wade, T., Claassen, R. L., and Wallander, S.: Conservation-practice adoption
rates vary widely by crop and region, United States Department of
Agriculture, Economic Research Service, 2015.</mixed-citation></ref>
      <ref id="bib1.bib107"><label>107</label><mixed-citation>Wang, C., Houlton, B. Z., Dai, W., and Bai, E.: Growth in the global <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sink
attributed to N fertilizer inputs over 1860 to 2000, Sci. Total Environ.,
574, 1044–1053, 2017.</mixed-citation></ref>
      <ref id="bib1.bib108"><label>108</label><mixed-citation>Wang, L., Xu, J., Yang, J., Zhao, X., Wei, W., Cheng, D., Pan, X., and Su,
J.: Understanding haze pollution over the southern Hebei area of China using
the CMAQ model, Atmos. Environ., 56, 69–79, 2012.</mixed-citation></ref>
      <ref id="bib1.bib109"><label>109</label><mixed-citation>Wang, Y., Logan, J. A., and Jacob, D. J.: Global simulation of tropospheric
<inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-<inline-formula><mml:math id="M481" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-hydrocarbon chemistry: 2. Model evaluation and global
ozone budget, J. Geophys. Res.-Atmos., 103, 10727–10755, 1998.</mixed-citation></ref>
      <ref id="bib1.bib110"><label>110</label><mixed-citation>Wang, Y., Zhang, Q. Q., He, K., Zhang, Q., and Chai, L.:
Sulfate-nitrate-ammonium aerosols over China: response to 2000–2015 emission
changes of sulfur dioxide, nitrogen oxides, and ammonia, Atmos. Chem. Phys.,
13, 2635–2652, <ext-link xlink:href="https://doi.org/10.5194/acp-13-2635-2013" ext-link-type="DOI">10.5194/acp-13-2635-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib111"><label>111</label><mixed-citation>Weier, K., Doran, J., Power, J., and Walters, D.: Denitrification and the
dinitrogen/nitrous oxide ratio as affected by soil water, available carbon,
and nitrate, Soil Sci. Soc. Am. J., 57, 66–72, 1993.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib112"><label>112</label><mixed-citation>Williams, E. and Fehsenfeld, F.: Measurement of soil nitrogen oxide
emissions at three North American ecosystems, J. Geophys. Res.-Atmos., 96,
1033–1042, 1991.</mixed-citation></ref>
      <ref id="bib1.bib113"><label>113</label><mixed-citation>Williams, E. J.,  Guenther, A., and  Fehsenfeld, F. C.: An inventory of nitric oxide
emissions from soils in the United States, J. Geophys. Res., 97, 7511–7519,
1992.</mixed-citation></ref>
      <ref id="bib1.bib114"><label>114</label><mixed-citation>Williams, J., Izaurralde, R., and Steglich, E.: Agricultural
policy/environmental extender model, Theoretical Documentation, Version, 604,
2008–2017, 2008.</mixed-citation></ref>
      <ref id="bib1.bib115"><label>115</label><mixed-citation>Xu, X., Thornton, P. E., and Post, W. M.: A global analysis of soil
microbial biomass carbon, nitrogen and phosphorus in terrestrial ecosystems,
Global Ecol. Biogeogr., 22, 737–749, 2013.</mixed-citation></ref>
      <ref id="bib1.bib116"><label>116</label><mixed-citation>Xu, X., Thornton, P., and POTAPOV, P.:
Compilation of Global Soil Microbial Biomass Carbon, Nitrogen, and Phosphorus Data, ORNL DAAC, Oak Ridge, Tennessee, USA, <ext-link xlink:href="https://doi.org/10.3334/ORNLDAAC/1264" ext-link-type="DOI">10.3334/ORNLDAAC/1264</ext-link>,  2015.</mixed-citation></ref>
      <ref id="bib1.bib117"><label>117</label><mixed-citation>Yienger, J. and Levy, H.: Empirical model of global soil-biogenic <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
emissions, J. Geophys. Res.-Atmos., 100, 11447–11464, 1995.</mixed-citation></ref>
      <ref id="bib1.bib118"><label>118</label><mixed-citation>Zhu, L., Henze, D., Bash, J., Jeong, G.-R., Cady-Pereira, K., Shephard, M.,
Luo, M., Paulot, F., and Capps, S.: Global evaluation of ammonia
bidirectional exchange and livestock diurnal variation schemes, Atmos. Chem.
Phys., 15, 12823–12843, <ext-link xlink:href="https://doi.org/10.5194/acp-15-12823-2015" ext-link-type="DOI">10.5194/acp-15-12823-2015</ext-link>, 2015.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Mechanistic representation of soil nitrogen emissions in the Community Multiscale Air Quality (CMAQ) model v 5.1</article-title-html>
<abstract-html><p>Soils are important sources of emissions of nitrogen-containing (N-containing) gases
such as nitric oxide (NO), nitrous acid (HONO), nitrous oxide (N<sub>2</sub>O),
and ammonia (NH<sub>3</sub>). However, most contemporary air quality models lack a
mechanistic representation of the biogeochemical processes that form these
gases. They typically use heavily parameterized equations to simulate
emissions of NO independently from NH<sub>3</sub> and do not quantify emissions
of HONO or N<sub>2</sub>O. This study introduces a mechanistic, process-oriented
representation of soil emissions of N species (NO, HONO, N<sub>2</sub>O, and
NH<sub>3</sub>) that we have recently implemented in the Community Multiscale Air
Quality (CMAQ) model. The mechanistic scheme accounts for biogeochemical
processes for soil N transformations such as mineralization, volatilization,
nitrification, and denitrification. The rates of these processes are
influenced by soil parameters, meteorology, land use, and mineral N
availability. We account for spatial heterogeneity in soil conditions and
biome types by using a global dataset for soil carbon (C) and N across
terrestrial ecosystems to estimate daily mineral N availability in
nonagricultural soils, which was not accounted for in earlier parameterizations
for soil NO. Our mechanistic scheme also uses daily year-specific fertilizer
use estimates from the Environmental Policy Integrated Climate (EPIC v0509)
agricultural model. A soil map with sub-grid biome definitions was used to
represent conditions over the continental United States. CMAQ modeling for
May and July 2011 shows improvement in model performance in simulated
NO<sub>2</sub> columns compared to Ozone Monitoring Instrument (OMI) satellite
retrievals for regions where soils are the dominant source of NO emissions.
We also assess how the new scheme affects model performance for NO<sub><i>x</i></sub>
(NO + NO<sub>2</sub>), fine nitrate (NO<sub>3</sub>) particulate matter, and ozone
observed by various ground-based monitoring networks. Soil NO emissions in
the new mechanistic scheme tend to fall between the magnitudes of the
previous parametric schemes and display much more spatial heterogeneity. The
new mechanistic scheme also accounts for soil HONO, which had been ignored
by parametric schemes.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Appel, K. W., Napelenok, S. L., Foley, K. M., Pye, H. O. T., Hogrefe, C.,
Luecken, D. J., Bash, J. O., Roselle, S. J., Pleim, J. E., Foroutan, H.,
Hutzell, W. T., Pouliot, G. A., Sarwar, G., Fahey, K. M., Gantt, B., Gilliam,
R. C., Heath, N. K., Kang, D., Mathur, R., Schwede, D. B., Spero, T. L.,
Wong, D. C., and Young, J. O.: Description and evaluation of the Community
Multiscale Air Quality (CMAQ) modeling system version 5.1, Geosci. Model
Dev., 10, 1703–1732, <a href="https://doi.org/10.5194/gmd-10-1703-2017" target="_blank">https://doi.org/10.5194/gmd-10-1703-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>Barton, L., McLay, C., Schipper, L., and Smith, C.: Annual denitrification
rates in agricultural and forest soils: a review, Soil Res., 37, 1073–1094,
1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Bash, J. O., Baker, K. R., and Beaver, M. R.: Evaluation of improved land use
and canopy representation in BEIS v3.61 with biogenic VOC measurements in
California, Geosci. Model Dev., 9, 2191–2207,
<a href="https://doi.org/10.5194/gmd-9-2191-2016" target="_blank">https://doi.org/10.5194/gmd-9-2191-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Bash, J. O., Cooter, E. J., Dennis, R. L., Walker, J. T., and Pleim, J. E.:
Evaluation of a regional air-quality model with bidirectional NH<sub>3</sub>
exchange coupled to an agroecosystem model, Biogeosciences, 10, 1635–1645,
<a href="https://doi.org/10.5194/bg-10-1635-2013" target="_blank">https://doi.org/10.5194/bg-10-1635-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>Bertram, T. H., Cohen, R. C., Thorn III, W. J., and Chu, P. M.: Consistency
of ozone and nitrogen oxides standards at tropospherically relevant mixing
ratios, J. Air Waste Manage., 55, 1473–1479, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>Bey, I., Jacob, D. J., Yantosca, R. M., Logan, J. A., Field, B., Fiore, A.
M., Li, Q., Liu, H., Mickley, L. J., and Schultz, M.: Global modeling of
tropospheric chemistry with assimilated meteorology: Model description and
evaluation, J. Geophys. Res., 106, 23073–23096, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Bucsela, E. J., Krotkov, N. A., Celarier, E. A., Lamsal, L. N., Swartz, W.
H., Bhartia, P. K., Boersma, K. F., Veefkind, J. P., Gleason, J. F., and
Pickering, K. E.: A new stratospheric and tropospheric NO<sub>2</sub> retrieval
algorithm for nadir-viewing satellite instruments: applications to OMI,
Atmos. Meas. Tech., 6, 2607–2626, <a href="https://doi.org/10.5194/amt-6-2607-2013" target="_blank">https://doi.org/10.5194/amt-6-2607-2013</a>,
2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>Butterbach-Bahl, K., Baggs, E. M., Dannenmann, M., Kiese, R., and
Zechmeister-Boltenstern, S.: Nitrous oxide emissions from soils: how well do
we understand the processes and their controls?, Philos. T. R. Soc. B, 368,
20130122, <a href="https://doi.org/10.1098/rstb.2013.0122" target="_blank">https://doi.org/10.1098/rstb.2013.0122</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>Cameron, K., Di, H. J., and Moir, J.: Nitrogen losses from the soil/plant
system: a review, Ann. Appl. Biol., 162, 145–173, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Cao, P., Lu, C., and Yu, Z.: Agricultural nitrogen fertilizer uses in the continental
US during 1850–2015: a set of gridded time-series data, PANGAEA,
<a href="https://doi.org/10.1594/PANGAEA.883585" target="_blank">https://doi.org/10.1594/PANGAEA.883585</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>Conrad, R.: Microbiological and biochemical background of production and
consumption of NO and N<sub>2</sub>O in soil, in: Trace gas exchange in forest
ecosystems, Springer, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>Cooper, O. R., Parrish, D. D., Ziemke, J., Balashov, N. V., Cupeiro, M.,
Galbally, I. E., Gilge, S., Horowitz, L., Jensen, N. R., Lamarque, J. F., and
Naik, V.: Global distribution and trends of tropospheric ozone: An
observation-based review, Elementa, 2, <a href="https://doi.org/10.12952/journal.elementa.000029" target="_blank">https://doi.org/10.12952/journal.elementa.000029</a>,
2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Cooter, E. J., Bash, J. O., Benson, V., and Ran, L.: Linking agricultural
crop management and air quality models for regional to national-scale
nitrogen assessments, Biogeosciences, 9, 4023–4035,
<a href="https://doi.org/10.5194/bg-9-4023-2012" target="_blank">https://doi.org/10.5194/bg-9-4023-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>Davidson, E. A. and Verchot, L. V.: Testing the Hole-in-the-Pipe Model of
nitric and nitrous oxide emissions from soils using the TRAGNET Database,
Global Biogeochem. Cy., 14, 1035–1043, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>Davidson, E. and Kingerlee, W.: A global inventory of nitric oxide emissions
from soils, Nutr. Cycl. Agroecosys., 48, 37–50,
<a href="https://doi.org/10.1023/A:1009738715891" target="_blank">https://doi.org/10.1023/A:1009738715891</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Davidson,  E.  A.,  David,  M.  B.,  Galloway,  J.  N.,  Goodale,  C.  L., Haeuber,  R.,
Harrison,  J.  A.,  Howarth,  R.W.,  Jaynes,  D.  B., Lowrance, R. R., Nolan, B. T.,
Peel, J. L., Pinder, R. W., Porter, E.,  Snyder,  C.  S.,  Townsend,  A.  R.,
and  Ward,  M.  H.:  Excess nitrogen in the U.S. environment: trends, risks,
and solutions, Issues in Ecology, Report Number 15, Ecological Society of America, 1–16, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>Davidson, E.: Pulses of nitric oxide and nitrous oxide flux following
wetting of dry soil: an assessment of probable sources and importance
relative to annual fluxes, Ecol. Bull., 42, 149–155, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>Del Grosso, S., Parton, W., Mosier, A., Ojima, D., Kulmala, A., and
Phongpan, S.: General model for N<sub>2</sub>O and N<sub>2</sub> gas emissions from
soils due to dentrification, Global Biogeochem. Cy., 14, 1045–1060, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>Evans, S. E. and Burke, I. C.: Carbon and nitrogen decoupling under an
11-year drought in the shortgrass steppe, Ecosystems, 16, 20–33, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>Firestone, M. K. and Davidson, E. A.: Microbiological basis of NO and
N<sub>2</sub>O
production and consumption in soil, Life Sci. R., 47, 7–21, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>Frink, C. R., Waggoner, P. E., and Ausubel, J. H.: Nitrogen fertilizer:
retrospect and prospect, P. Natl. Acad. Sci. USA, 96, 1175–1180, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>Gaillard, R. K., Jones, C. D., Ingraham, P., Collier, S., Izaurralde, R. C.,
Jokela, W., Osterholz, W., Salas, W., Vadas, P., and Ruark, M.:
Underestimation of N<sub>2</sub>O emissions in a comparison of the DayCent,
DNDC, and EPIC models, Ecol. Appl., 28, 694–708, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Geddes, J. A., Heald, C. L., Silva, S. J., and Martin, R. V.: Land cover
change impacts on atmospheric chemistry: simulating projected large-scale
tree mortality in the United States, Atmos. Chem. Phys., 16, 2323–2340,
<a href="https://doi.org/10.5194/acp-16-2323-2016" target="_blank">https://doi.org/10.5194/acp-16-2323-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>Gödde, M. and Conrad, R.: Influence of soil properties on the turnover
of nitric oxide and nitrous oxide by nitrification and denitrification at
constant temperature and moisture, Biol. Fert. Soils, 32, 120–128, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>Gollehon, N. R., Caswell, M., Ribaudo, M., Kellogg, R. L., Lander, C., and
Letson, D.: Confined Animal Production and Manure Nutrients. Washington, DC,
U.S. Department of Agriculture, Economic Research Service, Agriculture Information Bulletin 771,
available at:
<a href="https://ageconsearch.umn.edu/record/33763" target="_blank">https://ageconsearch.umn.edu/record/33763</a> (last access: 22 February 2019), 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>Griffis, T. J., Chen, Z., Baker, J. M., Wood, J. D., Millet, D. B., Lee, X.,
Venterea, R. T., and Turner, P. A.: Nitrous oxide emissions are enhanced in a
warmer and wetter world, P. Natl. Acad. Sci. USA, 114, 12081–12085, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>Heil, J., Vereecken, H., and Brüggemann, N.: A review of chemical
reactions of nitrification intermediates and their role in nitrogen cycling
and nitrogen trace gas formation in soil, Eur. J. Soil Sci., 67, 23–39,
2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>Hickman, J. E., Wu, S., Mickley, L. J., and Lerdau, M. T.: Kudzu (Pueraria
montana) invasion doubles emissions of nitric oxide and increases ozone
pollution, P. Natl. Acad. Sci. USA, 107, 10115–10119, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>Holmes, N. S.: A review of particle formation events and growth in the
atmosphere in the various environments and discussion of mechanistic
implications, Atmos. Environ., 41, 2183–2201, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>Homyak, P. M. and Sickman, J. O.: Influence of soil moisture on the
seasonality of nitric oxide emissions from chaparral soils, Sierra Nevada,
California, USA, J. Arid Environ., 103, 46–52, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>Homyak, P. M., Blankinship, J. C., Marchus, K., Lucero, D. M., Sickman, J.
O., and Schimel, J. P.: Aridity and plant uptake interact to make dryland
soils hotspots for nitric oxide (NO) emissions, P. Natl. Acad. Sci. USA, 113,
E2608–E2616, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>Houlton, B., Morford, S., and Dahlgren, R.: Convergent evidence for
widespread rock nitrogen sources in Earth's surface environment, Science,
360, 58–62, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Hu, H. W., Chen, D., and He, J. Z.: Microbial regulation of terrestrial nitrous oxide formation:
Understanding the biological pathways for prediction of emission rates,
FEMS Microbiol. Rev., 39, 729–749, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Hudman, R. C., Moore, N. E., Mebust, A. K., Martin, R. V., Russell, A. R.,
Valin, L. C., and Cohen, R. C.: Steps towards a mechanistic model of global
soil nitric oxide emissions: implementation and space based-constraints,
Atmos. Chem. Phys., 12, 7779–7795, <a href="https://doi.org/10.5194/acp-12-7779-2012" target="_blank">https://doi.org/10.5194/acp-12-7779-2012</a>,
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Hudman, R. C., Russell, A. R., Valin, L. C., and Cohen, R. C.: Interannual
variability in soil nitric oxide emissions over the United States as viewed
from space, Atmos. Chem. Phys., 10, 9943–9952,
<a href="https://doi.org/10.5194/acp-10-9943-2010" target="_blank">https://doi.org/10.5194/acp-10-9943-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>Hutchinson, G. and Brams, E.: NO versus N<sub>2</sub>O emissions from an NH<sub>4</sub><sup>+</sup>-amended
Bermuda grass pasture, J. Geophys. Res.-Atmos., 97, 9889–9896, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>IPCC: Climate Change 2013: The Physical Science Basis, Working Group I
Contribution to the Fifth Assessment Report of the Intergovernmental Panel on
Climate Change, edited by: Stocker, T. F.,  Qin, D.,  Plattner, G.-K.,  Tignor, M.,
Allen, S. K.,  Boschung, J.,  Nauels, A. Xia, Y.,  Bex, V., and  Midgley, P. M.,
Cambridge University Press, Cambridge, UK, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>Izaurralde, R. C., McGill, W. B., Williams, J. R., Jones, C. D., Link, R.
P., Manowitz, D. H., Schwab, D. E., Zhang, X., Robertson, G. P., and Millar,
N.: Simulating microbial denitrification with EPIC: Model description and
evaluation, Ecol. Model., 359, 349–362, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>Izaurralde, R. C., McGill, W. B., and Williams, J.: Development and
application of the EPIC model for carbon cycle, greenhouse gas mitigation,
and biofuel studies, in: Managing Agricultural Greenhouse Gases, Elsevier,
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>Izaurralde, R., Williams, J. R., Mcgill, W. B., Rosenberg, N. J., and Jakas,
M. Q.: Simulating soil C dynamics with EPIC: Model description and testing
against long-term data, Ecol. Model., 192, 362–384, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>Jaeglé, L., Martin, R. V., Chance, K., Steinberger, L., Kurosu, T. P.,
Jacob, D. J., Modi, A. I., Yoboué, V., Sigha-Nkamdjou, L., and
Galy-Lacaux, C.: Satellite mapping of rain-induced nitric oxide emissions
from soils, J. Geophys. Res.-Atmos., 109, D21310, <a href="https://doi.org/10.1029/2004JD004787" target="_blank">https://doi.org/10.1029/2004JD004787</a>,
2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>Jaeglé, L., Steinberger, L., Martin, R. V., and Chance, K.: Global
partitioning of NO<sub>x</sub> sources using satellite observations: Relative
roles of fossil fuel combustion, biomass burning and soil emissions, Faraday
Discuss., 130, 407–423, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Jiang, Z., McDonald, B. C., Worden, H., Worden, J. R., Miyazaki, K., Qu, Z., Henze, D. K.,
Jones, D. B., Arellano, A. F., and Fischer, E. V.: Unexpected slowdown of
US pollutant emission reduction in the past decade,
P. Natl. Acad. Sci. USA, 115, 201801191, <a href="https://doi.org/10.1073/pnas.1801191115" target="_blank">https://doi.org/10.1073/pnas.1801191115</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>Kampa, M. and Castanas, E.: Human health effects of air pollution,
Environ. Pollut., 151, 362–367, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>Kellogg, R. L., Lander, C. H., Moffitt, D. C., and Gollehon, N.: Manure
nutrients relative to the capacity of cropland and pastureland to assimilate
nutrients: Spatial and temporal trends for the United States, Proceedings of
the Water Environment Federation, 2000, 18–157, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>Kesik, M., Blagodatsky, S., Papen, H., and Butterbach-Bahl, K.: Effect of
pH, temperature and substrate on N<sub>2</sub>O, NO and CO<sub>2</sub> production
by Alcaligenes faecalis p, J. Appl. Microbiol., 101, 655–667, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Kim, H. C., Lee, P., Judd, L., Pan, L., and Lefer, B.: OMI NO<sub>2</sub> column
densities over North American urban cities: the effect of satellite footprint
resolution, Geosci. Model Dev., 9, 1111–1123,
<a href="https://doi.org/10.5194/gmd-9-1111-2016" target="_blank">https://doi.org/10.5194/gmd-9-1111-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>Kottek, M., Grieser, J., Beck, C., Rudolf, B., and Rubel, F.: World Map of
the Köppen-Geiger climate classification updated, Meteorol. Z., 15,
259–263, <a href="https://doi.org/10.1127/0941-2948/2006/0130" target="_blank">https://doi.org/10.1127/0941-2948/2006/0130</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>Kwok, R., Napelenok, S., and Baker, K.: Implementation and evaluation of
PM<sub>2.5</sub> source contribution analysis in a photochemical model, Atmos.
Environ., 80, 398–407, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Lamsal, L. N., Krotkov, N. A., Celarier, E. A., Swartz, W. H., Pickering, K.
E., Bucsela, E. J., Gleason, J. F., Martin, R. V., Philip, S., Irie, H.,
Cede, A., Herman, J., Weinheimer, A., Szykman, J. J., and Knepp, T. N.:
Evaluation of OMI operational standard NO<sub>2</sub> column retrievals using in
situ and surface-based NO<sub>2</sub> observations, Atmos. Chem. Phys., 14,
11587–11609, <a href="https://doi.org/10.5194/acp-14-11587-2014" target="_blank">https://doi.org/10.5194/acp-14-11587-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>Laville, P., Lehuger, S., Loubet, B., Chaumartin, F., and Cellier, P.:
Effect of management, climate and soil conditions on N<sub>2</sub>O and NO
emissions from an arable crop rotation using high temporal resolution
measurements, Agr. Forest Meteorol., 151, 228–240, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>Leitner, S., Homyak, P. M., Blankinship, J. C., Eberwein, J., Jenerette, G.
D., Zechmeister-Boltenstern, S., and Schimel, J. P.: Linking NO and
N<sub>2</sub>O emission pulses with the mobilization of mineral and organic N
upon rewetting dry soils, Soil Biol. Biochem., 115, 461–466, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>Li, Y., Schichtel, B. A., Walker, J. T., Schwede, D. B., Chen, X., Lehmann,
C. M., Puchalski, M. A., Gay, D. A., and Collett, J. L.: Increasing
importance of deposition of reduced nitrogen in the United States, P. Natl.
Acad. Sci. USA, 113, 5874–5879, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>Liu, B., Mørkved, P. T., Frostegård, Å., and Bakken, L. R.:
Denitrification gene pools, transcription and kinetics of NO, N<sub>2</sub>O and
N<sub>2</sub> production as affected by soil pH, FEMS Microbiol. Ecol., 72,
407–417, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>Liu, X., Ju, X., Zhang, Y., He, C., Kopsch, J., and Fusuo, Z.: Nitrogen
deposition in agroecosystems in the Beijing area, Agriculture, Ecosystems
&amp; Environment, 113, 370–377, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
Lu, C. and Tian, H.: Global nitrogen and phosphorus fertilizer use for
agriculture production in the past half century: shifted hot spots and
nutrient imbalance, Earth Syst. Sci. Data, 9, 181–192,
<a href="https://doi.org/10.5194/essd-9-181-2017" target="_blank">https://doi.org/10.5194/essd-9-181-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>Ludwig, J., Meixner, F., Vogel, B., and Förstner, J.: Soil-air exchange
of nitric oxide: an overview of processes, environmental factors, and
modeling studies, Biogeochemistry, 52, 225–257,
<a href="https://doi.org/10.1023/A:1006424330555" target="_blank">https://doi.org/10.1023/A:1006424330555</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Machefert, S. E., Dise, N. B., Goulding, K. W. T., and Whitehead, P. G.:
Nitrous oxide emission from a range of land uses across Europe, Hydrol. Earth
Syst. Sci., 6, 325–338, <a href="https://doi.org/10.5194/hess-6-325-2002" target="_blank">https://doi.org/10.5194/hess-6-325-2002</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>Maljanen, M., Yli-Pirilä, P., Hytönen, J., Joutsensaari, J., and
Martikainen, P. J.: Acidic northern soils as sources of atmospheric nitrous
acid (HONO), Soil Biol. Biochem., 67, 94–97, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>Malm, W. C., Sisler, J. F., Huffman, D., Eldred, R. A., and Cahill, T. A.:
Spatial and seasonal trends in particle concentration and optical extinction
in the United States, J. Geophys. Res.-Atmos., 99, 1347–1370, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Mamtimin, B., Meixner, F. X., Behrendt, T., Badawy, M., and Wagner, T.: The
contribution of soil biogenic NO and HONO emissions from a managed hyperarid
ecosystem to the regional NO<sub><i>x</i></sub> emissions during growing
season, Atmos. Chem. Phys., 16, 10175–10194,
<a href="https://doi.org/10.5194/acp-16-10175-2016" target="_blank">https://doi.org/10.5194/acp-16-10175-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>Manzoni, S. and Porporato, A.: Soil carbon and nitrogen mineralization:
theory and models across scales, Soil Biol. Biochem., 41, 1355–1379, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>Martin, R. E., Scholes, M., Mosier, A., Ojima, D., Holland, E., and Parton,
W.: Controls on annual emissions of nitric oxide from soils of the Colorado
shortgrass steppe, Global Biogeochem. Cy., 12, 81–91, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>Medinets, S., Skiba, U., Rennenberg, H., and Butterbach-Bahl, K.: A review
of soil NO transformation: Associated processes and possible physiological
significance on organisms, Soil Biol. Biochem., 80, 92–117, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>Moldrup, P., Olesen, T., Yoshikawa, S., Komatsu, T., and Rolston, D. E.:
Three-porosity model for predicting the gas diffusion coefficient in
undisturbed soil, Soil Sci. Soc. Am. J., 68, 750–759, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>Montes, F., Meinen, R., Dell, C., Rotz, A., Hristov, A., Oh, J., Waghorn,
G., Gerber, P., Henderson, B., and Makkar, H.: SPECIAL TOPICS – mitigation
of methane and nitrous oxide emissions from animal operations: II. A review
of manure management mitigation options, J. Anim. Sci., 91, 5070–5094, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>Necpálová, M., Anex, R. P., Fienen, M. N., Del Grosso, S. J.,
Castellano, M. J., Sawyer, J. E., Iqbal, J., Pantoja, J. L., and Barker, D.
W.: Understanding the DayCent model, Environ. Modell. Softw., 66, 110–130,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
Neira, M.: The 2014 WHO conference on health and climate, SciELO Public Health,
<a href="https://doi.org/10.2471/BLT.14.14389125177064" target="_blank">https://doi.org/10.2471/BLT.14.14389125177064</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
Nemitz, E., Milford, C., and Sutton, M. A.: A two–layer canopy compensation point
model for describing bi-directional biosphere–atmosphere exchange of ammonia,
Q. J. Roy. Meteor. Soc., 127, 815–833, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>Oikawa, P., Ge, C., Wang, J., Eberwein, J., Liang, L., Allsman, L., Grantz,
D., and Jenerette, G.: Unusually high soil nitrogen oxide emissions influence
air quality in a high-temperature agricultural region, Nat. Commun., 6, 8753,
<a href="https://doi.org/10.1038/ncomms9753" target="_blank">https://doi.org/10.1038/ncomms9753</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
Oswald, R., Behrendt, T., Ermel, M., Wu, D., Su, H., Cheng, Y., Breuninger, C., Moravek, A.,
Mougin, E., Delon, C., Loubet, B., Pommerening-Röser, A., Sörgel, M.,
Pöschl, U., Hoffmann, T., Andreae, M. O., Meixner, F. X., and Trebs, I.:
HONO emissions from soil bacteria as a major source of atmospheric reactive nitrogen,
Science, 341, 1233–1235, <a href="https://doi.org/10.1126/science.1242266" target="_blank">https://doi.org/10.1126/science.1242266</a>,2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
Otte, T. L. and Pleim, J. E.: The Meteorology-Chemistry Interface Processor
(MCIP) for the CMAQ modeling system: updates through MCIPv3.4.1, Geosci.
Model Dev., 3, 243–256, <a href="https://doi.org/10.5194/gmd-3-243-2010" target="_blank">https://doi.org/10.5194/gmd-3-243-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>Parrish, D., Williams, E., Fahey, D., Liu, S., and Fehsenfeld, F.:
Measurement of nitrogen oxide fluxes from soils: Intercomparison of enclosure
and gradient measurement techniques, J. Geophys. Res.-Atmos., 92, 2165–2171,
1987.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>Parton, W. J., Holland, E. A., Del Grosso, S. J., Hartman, M. D., Martin, R.
E., Mosier, A. R., Ojima, D. S., and Schimel, D. S.: Generalized model for
NO<sub><i>x</i></sub> and N<sub>2</sub>O emissions from soils, J. Geophys. Res.-Atmos., 106,
17403–17419, <a href="https://doi.org/10.1029/2001JD900101" target="_blank">https://doi.org/10.1029/2001JD900101</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>Parton, W. J., Ojima, D. S., Cole, C. V., and Schimel, D. S.: A general
model for soil organic matter dynamics: sensitivity to litter chemistry,
texture and management, SSSA Spec. Publ., 1994, 147–167, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>Pilegaard, K.: Processes regulating nitric oxide emissions from soils,
Philos. T. Roy. Soc. B, 368,   1621, <a href="https://doi.org/10.1098/rstb.2013.0126" target="_blank">https://doi.org/10.1098/rstb.2013.0126</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
Pleim, J. E. and Xiu, A.: Development of a land surface model. Part II: Data
assimilation, J. Appl. Meteorol., 42, 1811–1822, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
Pleim, J. E., Bash, J. O., Walker, J. T., and Cooter, E. J.: Development and evaluation of an
ammonia bidirectional flux parameterization for air quality models,
J. Geophys. Res., 118, 3794–3806, <a href="https://doi.org/10.1002/jgrd.50262" target="_blank">https://doi.org/10.1002/jgrd.50262</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>Pope, C. A., Burnett, R. T., Krewski, D., Jerrett, M., Shi, Y., Calle, E.
E., and Thun, M. J.: Cardiovascular mortality and exposure to airborne fine
particulate matter and cigarette smoke: shape of the exposure-response
relationship, Circulation, 120, 941–948, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>Potter, P., Navin, R., Elena, M. B., and Simon D. D.: Characterizing the
spatial patterns of global fertilizer application and manure production,
Earth Interact., 14, 1–22, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>Pouliot, G. and Pierce, T.:  Integration of the Model of Emissionsof Gases and Aerosols from Nature (MEGAN) into the CMAQModeling System,
18th International Emission Inventory Conference, Baltimore, Maryland, 14–17 April 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>
Pusede, S. E. and Cohen, R. C.: On the observed response of ozone to NO<sub>x</sub> and VOC reactivity reductions in San Joaquin Valley California 1995–present, Atmos.
Chem. Phys., 12, 8323–8339, <a href="https://doi.org/10.5194/acp-12-8323-2012" target="_blank">https://doi.org/10.5194/acp-12-8323-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation>
Rasool, Q. Z., Zhang, R., Lash, B., Cohan, D. S., Cooter, E. J., Bash, J. O.,
and Lamsal, L. N.: Enhanced representation of soil NO emissions in the
Community Multiscale Air Quality (CMAQ) model version 5.0.2, Geosci. Model
Dev., 9, 3177–3197, <a href="https://doi.org/10.5194/gmd-9-3177-2016" target="_blank">https://doi.org/10.5194/gmd-9-3177-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</label><mixed-citation>Rasool, Q. Z., Bash, J. O., and Cohan, D. S.: Mechanistic representation of
soil nitrogen emissions in CMAQ version 5.1, ORNL DAAC, Oak Ridge, Tennessee,
USA, <a href="https://doi.org/10.3334/ORNLDAAC/1661" target="_blank">https://doi.org/10.3334/ORNLDAAC/1661</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>85</label><mixed-citation>Redding, M., Shorten, P., Lewis, R., Pratt, C., Paungfoo-Lonhienne, C., and
Hill, J.: Soil N availability, rather than N deposition, controls indirect
N<sub>2</sub>O emissions, Soil Biol. Biochem., 95, 288–298, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>86</label><mixed-citation>Ribaudo, M., Key, N., and Sneeringer, S.: The potential role for a nitrogen
compliance policy in mitigating Gulf hypoxia, Appl. Econ. Perspect. P., 39,
458–478, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>87</label><mixed-citation>Ribaudo, M., Livingston, M., and Williamson, J.: Nitrogen management on us
corn acres, 2001-10, United States Department of Agriculture, Economic
Research Service, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>88</label><mixed-citation>Ribaudo, M., Gollehon, N., and Agapoff, J.: Land application of manure by
animal feeding operations: Is more land needed?, J. Soil Water Conserv., 58,
30–38, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>89</label><mixed-citation>Robertson, G. P. and Groffman, P.: Nitrogen transformations, in: Soil
Microbiology, Ecology and Biochemistry, 3rd Edn., Elsevier, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>90</label><mixed-citation>
Romer, P. S., Duffey, K. C., Wooldridge, P. J., Edgerton, E., Baumann, K.,
Feiner, P. A., Miller, D. O., Brune, W. H., Koss, A. R., de Gouw, J. A.,
Misztal, P. K., Goldstein, A. H., and Cohen, R. C.:
Effects of temperature-dependent NO<sub><i>x</i></sub>
emissions on continental ozone production, Atmos. Chem. Phys., 18, 2601–2614, <a href="https://doi.org/10.5194/acp-18-2601-2018" target="_blank">https://doi.org/10.5194/acp-18-2601-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>91</label><mixed-citation>Schimel, J. P. and Weintraub, M. N.: The implications of exoenzyme activity
on microbial carbon and nitrogen limitation in soil: a theoretical model,
Soil Biol. Biochem., 35, 549–563, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>92</label><mixed-citation>Schindlbacher, A., Zechmeister-Boltenstern, S., and Butterbach-Bahl, K.:
Effects of soil moisture and temperature on NO, NO<sub>2</sub>, and N<sub>2</sub>O
emissions from European forest soils, J. Geophys. Res.-Atmos., 109,   17302–17309,
2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>93</label><mixed-citation>Scholes, M., Martin, R., Scholes, R., Parsons, D., and Winstead, E.: NO and
N<sub>2</sub>O emissions from savanna soils following the first simulated rains of
the season, Nutr. Cycl. Agroecosys., 48, 115– 122,
<a href="https://doi.org/10.1023/A:1009781420199" target="_blank">https://doi.org/10.1023/A:1009781420199</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>94</label><mixed-citation>Seinfeld, J. H. and  Pandis, S. N.: Atmospheric chemistry and physics:
from air pollution to climate change, John Wiley &amp; Sons, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>95</label><mixed-citation>Simon, H., Reff, A., Wells, B., Xing, J., and Frank, N.: Ozone trends across
the United States over a period of decreasing NO<sub>x</sub> and VOC emissions,
Environ. Sci. Technol., 49, 186–195, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>96</label><mixed-citation>Skamarock, W. C., Klemp, J. B., Dudhia, J., Gill, D. O., Barker, D. M.,
Duda, M. G., Huang, X., Wang, W., and Powers, J. G.: A description of the
advanced research WRF version 3, NCAR Tech. Note, NCAR/TN-475+STR, 8 pp.,
Natl. Cent. for Atmos. Res., Boulder, Colo., available at:
<a href="http://www.mmm.ucar.edu/wrf/users/docs/arw_v3.pdf" target="_blank">http://www.mmm.ucar.edu/wrf/users/docs/arw_v3.pdf</a> (last access: 22 February 2019), 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>97</label><mixed-citation>Stehfest, E. and  Bouwman, L.: N<sub>2</sub>O and NO emission from agricultural
fields and soils under natural vegetation: summarizing available measurement
data and modeling of global annual emissions, Nutr. Cycl. Agroecosys., 74,
207–228, <a href="https://doi.org/10.1007/s10705-006-9000-7" target="_blank">https://doi.org/10.1007/s10705-006-9000-7</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>98</label><mixed-citation>
Steinkamp, J. and Lawrence, M. G.: Improvement and evaluation of simulated
global biogenic soil NO emissions in an AC-GCM, Atmos. Chem. Phys., 11,
6063–6082, <a href="https://doi.org/10.5194/acp-11-6063-2011" target="_blank">https://doi.org/10.5194/acp-11-6063-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>99</label><mixed-citation>Strode, S. A., Rodriguez, J. M., Logan, J. A., Cooper, O. R., Witte, J. C.,
Lamsal, L. N., Damon, M., Van Aartsen, B., Steenrod, S. D., and Strahan, S.
E.: Trends and variability in surface ozone over the United States, J.
Geophys. Res.-Atmos., 120, 9020–9042, <a href="https://doi.org/10.1002/2014JD022784" target="_blank">https://doi.org/10.1002/2014JD022784</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib100"><label>100</label><mixed-citation>Su, H., Cheng, Y., Oswald, R., Behrendt, T., Trebs, I., Meixner, F. X.,
Andreae, M. O., Cheng, P., Zhang, Y., and Pöschl, U.: Soil nitrite as a
source of atmospheric HONO and OH radicals, Science, 333, 1616–1618, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib101"><label>101</label><mixed-citation>Tilman, D., Fargione, J., Wolff, B., D'antonio, C., Dobson, A., Howarth, R.,
Schindler, D., Schlesinger, W. H., Simberloff, D., and Swackhamer, D.:
Forecasting agriculturally driven global environmental change, Science, 292,
281–284, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib102"><label>102</label><mixed-citation>Townsend, A. R., Howarth, R. W., Bazzaz, F. A., Booth, M. S., Cleveland, C.
C., Collinge, S. K., Dobson, A. P., Epstein, P. R., Holland, E. A., and
Keeney, D. R.: Human health effects of a changing global nitrogen cycle,
Front. Ecol. Environ., 1, 240–246, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib103"><label>103</label><mixed-citation>
Travis, K. R., Jacob, D. J., Fisher, J. A., Kim, P. S., Marais, E. A., Zhu, L., Yu, K., Miller, C. C., Yantosca, R. M., Sulprizio, M. P., Thompson, A. M., Wennberg, P. O., Crounse, J. D., St. Clair, J. M., Cohen, R. C., Laughner, J. L., Dibb, J. E., Hall, S. R., Ullmann, K., Wolfe, G. M., Pollack, I. B., Peischl, J., Neuman, J. A., and Zhou, X.: Why do models overestimate surface ozone in the Southeast United States?, Atmos. Chem. Phys., 16, 13561–13577, <a href="https://doi.org/10.5194/acp-16-13561-2016" target="_blank">https://doi.org/10.5194/acp-16-13561-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib104"><label>104</label><mixed-citation>Venterea, R. T. and Rolston, D. E.: Mechanisms and kinetics of nitric and
nitrous oxide production during nitrification in agricultural soil, Glob.
Change Biol., 6, 303–316, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib105"><label>105</label><mixed-citation>
Vinken, G. C. M., Boersma, K. F., Maasakkers, J. D., Adon, M., and Martin, R.
V.: Worldwide biogenic soil NO<sub><i>x</i></sub> emissions inferred from OMI
NO<sub>2</sub> observations, Atmos. Chem. Phys., 14, 10363–10381,
<a href="https://doi.org/10.5194/acp-14-10363-2014" target="_blank">https://doi.org/10.5194/acp-14-10363-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib106"><label>106</label><mixed-citation>Wade, T., Claassen, R. L., and Wallander, S.: Conservation-practice adoption
rates vary widely by crop and region, United States Department of
Agriculture, Economic Research Service, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib107"><label>107</label><mixed-citation>Wang, C., Houlton, B. Z., Dai, W., and Bai, E.: Growth in the global N<sub>2</sub> sink
attributed to N fertilizer inputs over 1860 to 2000, Sci. Total Environ.,
574, 1044–1053, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib108"><label>108</label><mixed-citation>Wang, L., Xu, J., Yang, J., Zhao, X., Wei, W., Cheng, D., Pan, X., and Su,
J.: Understanding haze pollution over the southern Hebei area of China using
the CMAQ model, Atmos. Environ., 56, 69–79, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib109"><label>109</label><mixed-citation>Wang, Y., Logan, J. A., and Jacob, D. J.: Global simulation of tropospheric
O<sub>3</sub>-NO<sub>x</sub>-hydrocarbon chemistry: 2. Model evaluation and global
ozone budget, J. Geophys. Res.-Atmos., 103, 10727–10755, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib110"><label>110</label><mixed-citation>
Wang, Y., Zhang, Q. Q., He, K., Zhang, Q., and Chai, L.:
Sulfate-nitrate-ammonium aerosols over China: response to 2000–2015 emission
changes of sulfur dioxide, nitrogen oxides, and ammonia, Atmos. Chem. Phys.,
13, 2635–2652, <a href="https://doi.org/10.5194/acp-13-2635-2013" target="_blank">https://doi.org/10.5194/acp-13-2635-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib111"><label>111</label><mixed-citation>Weier, K., Doran, J., Power, J., and Walters, D.: Denitrification and the
dinitrogen/nitrous oxide ratio as affected by soil water, available carbon,
and nitrate, Soil Sci. Soc. Am. J., 57, 66–72, 1993.

</mixed-citation></ref-html>
<ref-html id="bib1.bib112"><label>112</label><mixed-citation>Williams, E. and Fehsenfeld, F.: Measurement of soil nitrogen oxide
emissions at three North American ecosystems, J. Geophys. Res.-Atmos., 96,
1033–1042, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib113"><label>113</label><mixed-citation>Williams, E. J.,  Guenther, A., and  Fehsenfeld, F. C.: An inventory of nitric oxide
emissions from soils in the United States, J. Geophys. Res., 97, 7511–7519,
1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib114"><label>114</label><mixed-citation>Williams, J., Izaurralde, R., and Steglich, E.: Agricultural
policy/environmental extender model, Theoretical Documentation, Version, 604,
2008–2017, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib115"><label>115</label><mixed-citation>Xu, X., Thornton, P. E., and Post, W. M.: A global analysis of soil
microbial biomass carbon, nitrogen and phosphorus in terrestrial ecosystems,
Global Ecol. Biogeogr., 22, 737–749, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib116"><label>116</label><mixed-citation>Xu, X., Thornton, P., and POTAPOV, P.:
Compilation of Global Soil Microbial Biomass Carbon, Nitrogen, and Phosphorus Data, ORNL DAAC, Oak Ridge, Tennessee, USA, <a href="https://doi.org/10.3334/ORNLDAAC/1264" target="_blank">https://doi.org/10.3334/ORNLDAAC/1264</a>,  2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib117"><label>117</label><mixed-citation>Yienger, J. and Levy, H.: Empirical model of global soil-biogenic NO<sub><i>x</i></sub>
emissions, J. Geophys. Res.-Atmos., 100, 11447–11464, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib118"><label>118</label><mixed-citation>
Zhu, L., Henze, D., Bash, J., Jeong, G.-R., Cady-Pereira, K., Shephard, M.,
Luo, M., Paulot, F., and Capps, S.: Global evaluation of ammonia
bidirectional exchange and livestock diurnal variation schemes, Atmos. Chem.
Phys., 15, 12823–12843, <a href="https://doi.org/10.5194/acp-15-12823-2015" target="_blank">https://doi.org/10.5194/acp-15-12823-2015</a>, 2015.
</mixed-citation></ref-html>--></article>
