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  <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-11-4155-2018</article-id><title-group><article-title>Evaluating simplified chemical mechanisms within present-day <?xmltex \hack{\break}?> simulations of
the Community Earth System Model version 1.2 with CAM4 (CESM1.2 CAM-chem): MOZART-4 vs. Reduced Hydrocarbon vs. Super-Fast chemistry</article-title><alt-title>Simplified chemical mechainsms</alt-title>
      </title-group><?xmltex \runningtitle{Simplified chemical mechainsms}?><?xmltex \runningauthor{B.~Brown-Steiner et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff7 aff1 aff2">
          <name><surname>Brown-Steiner</surname><given-names>Benjamin</given-names></name>
          <email>bbrownst@aer.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff4">
          <name><surname>Selin</surname><given-names>Noelle E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6396-5622</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff4">
          <name><surname>Prinn</surname><given-names>Ronald</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Tilmes</surname><given-names>Simone</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Emmons</surname><given-names>Louisa</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2325-6212</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Lamarque</surname><given-names>Jean-François</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4225-5074</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Cameron-Smith</surname><given-names>Philip</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8802-8627</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Center for Global Change Science, Massachusetts Institute of Technology, 77 Massachusetts Ave,<?xmltex \hack{\break}?> Cambridge, MA 02139, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Joint Program on the Science and Policy of Global Change, Massachusetts Institute of Technology, <?xmltex \hack{\break}?> 77 Massachusetts Ave, Cambridge, MA 02139, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Data, Systems, and Society, Massachusetts Institute of Technology, 77 Massachusetts Ave, <?xmltex \hack{\break}?> Cambridge, MA 02139, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Earth, Atmospheric, and Planetary Sciences, Massachusetts Institute of Technology, <?xmltex \hack{\break}?> 77 Massachusetts Ave, Cambridge, MA 02139, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Atmospheric Chemistry Observations and Modeling Lab, National Center for Atmospheric Research, <?xmltex \hack{\break}?> 3450 Mitchell Lane, Boulder, CO 80301, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Lawrence Livermore National Laboratory, 7000 East Ave, Livermore, CA 94550, USA</institution>
        </aff>
        <aff id="aff7"><label>a</label><institution>now at: Atmospheric and Environmental Research, 131 Hartwell Avenue, Lexington, MA 02421-3126, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Benjamin Brown-Steiner (bbrownst@aer.com)</corresp></author-notes><pub-date><day>16</day><month>October</month><year>2018</year></pub-date>
      
      <volume>11</volume>
      <issue>10</issue>
      <fpage>4155</fpage><lpage>4174</lpage>
      <history>
        <date date-type="received"><day>20</day><month>January</month><year>2018</year></date>
           <date date-type="rev-request"><day>8</day><month>February</month><year>2018</year></date>
           <date date-type="rev-recd"><day>28</day><month>August</month><year>2018</year></date>
           <date date-type="accepted"><day>4</day><month>September</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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/11/4155/2018/gmd-11-4155-2018.html">This article is available from https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018.pdf</self-uri>
      <abstract>
    <p id="d1e188">While state-of-the-art complex chemical mechanisms expand our understanding
of atmospheric chemistry, their sheer size and computational requirements
often limit simulations to short lengths or ensembles to only a few members.
Here we present and compare three 25-year present-day offline simulations
with chemical mechanisms of different levels of complexity using the
Community Earth System Model (CESM) Version 1.2 CAM-chem (CAM4): the Model
for Ozone and Related Chemical Tracers, version 4 (MOZART-4) mechanism, the
Reduced Hydrocarbon mechanism, and the Super-Fast mechanism. We show that,
for most regions and time periods, differences in simulated ozone chemistry
between these three mechanisms are smaller than the model–observation
differences themselves. The MOZART-4 mechanism and the Reduced Hydrocarbon
are in close agreement in their representation of ozone throughout the
troposphere during all time periods (annual, seasonal, and diurnal). While
the Super-Fast mechanism tends to have higher simulated ozone variability and
differs from the MOZART-4 mechanism over regions of high biogenic emissions,
it is surprisingly capable of simulating ozone adequately given its
simplicity. We explore the trade-offs between chemical mechanism complexity
and computational cost by identifying regions where the simpler mechanisms
are comparable to the MOZART-4 mechanism and regions where they are not. The
Super-Fast mechanism is 3 times as fast as the MOZART-4 mechanism, which
allows for longer simulations or ensembles with more members that may not be
feasible with the MOZART-4 mechanism given limited computational resources.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<?pagebreak page4156?><sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e200">The anthropogenic influence on atmospheric chemistry is
apparent at all spatial and temporal scales: human emissions have impacted
local and very short-lived species (e.g., OH; see Prinn et al., 2001), very
long-lived greenhouse gases (e.g., Collins et al., 2006), and everything in
between (e.g., Baker et al., 2015; Solomon et al., 2016). Over the past
decades, all three branches of modern atmospheric chemistry research (Abbatt
et al., 2014) – observations, laboratory analysis, and modeling – have
increased in both their sophistication and their capability to explain the
chemistry of our atmosphere. However, while observational networks have
significant growth potential (e.g., Sofen et al., 2016) and laboratory
analysis still has significant challenges to overcome (Bocquet et al., 2015;
Burkholder et al., 2017), chemistry modeling efforts are finding their growth
potential limited by the level of chemical complexity that can be included in
models due to the constraint of the computational capabilities of even
state-of-the-art supercomputers (Stockwell et al., 2012). Simulations that
attempt to include all known species and reactions, such as the National
Center for Atmospheric Research (NCAR) Master Mechanism (Madronich and
Calvert, 1989; Aumont et al., 2000) or the Leeds Master Chemical Mechanism
(Jenkin et al., 1997; Saunders et al., 2003) and even some species and
reactions that have not been tested in any laboratory (e.g., Aumont et
al., 2005; Szopa et al., 2005), are often limited to box-model-level analysis
(e.g., Emmerson and Evans, 2009; Squire et al., 2015). Modeling efforts that
simulate regional- and global-scale atmospheric chemistry are forced, out of
practical necessity, to utilize simplified, reduced-form, and parameterized
chemistry in order to address the large spatial and long temporal scales
needed for policy-relevant research.</p>
      <p id="d1e203">Historically, as computational capacity has increased, modeling efforts have
tended to maximize model resolution and complexity. This limits the
capability to perform multi-scenario or multi-model ensembles to institutions
with access to significant computational capabilities and storage. One way to
increase the number of scenarios or members in an ensemble is to reduce the
complexity of the chemical mechanism. This selection of a reduced-form
chemical mechanism for different applications and the advantages of the
increased computational efficiency of a simplified mechanism are the main
focus of this paper. While there is a long history of publications (see
Dodge, 2000) that compare different photochemical mechanisms within box
models (e.g., Milford et al., 1992; Jimenez et al., 2003; Emmerson and Evans,
2009; Knote et al., 2015), studies that compare multiple mechanisms within a
single 3-D global model are rare (e.g., Squire et al., 2015). This study
examines three chemical mechanisms within the Community Earth System Model
Community Atmosphere Model with Chemistry Version 1.2 (CESM1.2 CAM-chem;
Lamarque et al., 2012) framework: the Model for Ozone and Related Chemical
Tracers, version 4 (MOZART-4) mechanism, the Reduced Hydrocarbon mechanism,
and the Super-Fast chemical mechanism (described in Sect. 2), which is one of
the simplest representations of atmospheric chemistry used within
climate–chemistry model intercomparison projects, such as the Atmospheric
Chemistry and Climate Model Intercomparison Project (ACCMIP; Lamarque et
al., 2013).</p>
      <p id="d1e206">This study examines the trade-offs and possibilities that arise from
the selection of a chemical mechanism that is simple enough to be computationally
efficient – and thus capable of long simulations or large ensembles at the
global scale – as well as sophisticated enough to simulate the major
features of tropospheric chemistry at the local and regional scale. Many
climate studies include little to no chemistry or prescribed chemistry, even
though chemistry–climate feedbacks are well established to impact global and
regional climate (e.g., Marsh et al., 2013; Fiore et al., 2015). Indeed,
coarse-grid (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) chemistry–climate studies
which conduct 1000 or more years of simulations using complex chemistry are
notable in their rarity (see Barnes et al., 2016, and Garcia-Menendez et
al., 2015, 2017). This paper focuses on three primary lines of inquiry
focusing on tropospheric ozone. First, what is lost or gained with the
selection of a simplified chemical mechanism within a global model? Second,
what is the nature of the uncertainties that arise with the selection of a
particular chemical mechanism? And third, what are the trade-offs that
researchers make, either intentionally or tacitly, when they apply a specific
mechanism within a particular modeling framework? We focus this study on the
short-lived gaseous species, in particular ozone and its precursors, that
influence both the daily exposure of humans to pollutants as well as the
decadal-scale global climate system. We focus primarily on a computationally
efficient simulation of tropospheric gaseous chemistry within a single
modeling framework and leave further analysis of other aspects of
atmospheric chemistry to future studies.</p>
      <p id="d1e229">In Sect. 2, we describe the modeling framework and describe each of the
three aforementioned chemical mechanisms, including a detailed description
and history of the Super-Fast mechanism, as it is not reported elsewhere in
the literature, and the simulations and observations we use for comparison.
In Sect. 3 we present spatial and temporal results and compare
various metrics of chemical accuracy. In Sect. 4, we explore the nature and
the morphology of the chemical uncertainties and the particular trade-offs
that are made by the selection of a single mechanism when faced with limited
computational resources. We draw conclusions in Sect. 5.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
      <p id="d1e238">Our analysis focuses on characterizing the ozone chemical uncertainties
within a global chemistry model. We examine the morphology of the chemistry
system, focusing<?pagebreak page4157?> specifically on the means, standard deviations, and
variability (defined here as the standard deviation divided by the mean). We
also include characterizations of the correlation of the ozone time series
with the observations and of the extreme values (in particular the 90th and
99th percentiles) of the ozone distribution.</p>
<sec id="Ch1.S2.SS1">
  <title>CESM1.2 CAM4-chem simulations</title>
      <p id="d1e246">The CESM1.2 CAM4-chem model (Tilmes et al., 2015, 2016) is a
chemistry–climate model developed at the National Center for Atmospheric
Research (NCAR) with other collaborators, including the U.S. Department of
Energy. It has been utilized extensively in the ACCMIP (Lamarque et
al., 2013, and references therein), the Chemistry Climate Model Initiate (CCMI)
(Morgenstern et al., 2017) and for a wide range of atmospheric chemistry
research. We conduct our simulations using CESM CAM4-chem version 1.2 with
the MOZART-4 chemical mechanism based on Emmons et al. (2010) with updates
described in Tilmes et al. (2015), the Reduced Hydrocarbon mechanism
(Houweling et al., 1998) as adapted to the CESM CAM-chem framework by
Lamarque et al. (2008, 2010), which has a reduced-form representation of
hydrocarbon chemistry, and the Super-Fast mechanism (Cameron-Smith et
al., 2006; Lamarque et al., 2013). Hereafter we will refer to these three
mechanisms as MO, RH, and SF, respectively.</p>
      <p id="d1e249">For meteorology we used the Modern-Era Retrospective analysis for Research
and Applications (MERRA) reanalysis product (Rienecker et al., 2011) for
26 years (1990—2015), with a 50 h Newtonian relaxation timing (roughly
1 % nudging every 30 min). The year 1990 is dropped to allow for
spin-up. All simulations are at <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> resolution.
Aerosols were represented by the bulk aerosol model (BAM) in the MO and RH
mechanisms and are optional for the SF mechanism. The results presented here
are without BAM aerosols. We keep anthropogenic emissions constant at year
2000 from the CCMI database (Lamarque et al., 2012) and include linearized
chemistry for ozone in the stratosphere (McLinden et al., 2000; Hsu and
Prather, 2009) and prescribe the concentration of other tracers above
50 hPa. We use an online biogenic emissions model (MEGAN; Guenther et
al., 2012) and prescribed sea ice and sea surface temperatures. With the
exception of a remapping of the MOZART species to the Reduced Hydrocarbon
species (Table S1 in Supplement), all parameterizations other than the
chemical mechanism are identical between the three simulations, and thus any
differences are due to differences among the mechanisms themselves. Ozone dry
deposition was done as described in Val Martin et al. (2015). Because we run
with prescribed meteorology, we do not include internal chemical feedback to
the weather and climate other than that incorporated into the MERRA
meteorology itself. All of these mechanisms can also be run with meteorology
calculated internally by the CESM model, but since such simulations utilize a
different number of vertical levels than simulations with prescribed
meteorology, comparing them to simulated meteorology runs is not
straightforward and so is omitted from the present study.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Mechanisms</title>
      <p id="d1e278">Table 1 summarizes the characteristics of the three chosen mechanisms. The
chemical mechanism input files for MO is available in the standard CESM
release (<uri>http://www.cesm.ucar.edu/models/cesm1.2/</uri>), and the chemical
mechanism input files used for RH and SF are archived (see “Code
availability” section).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e287">Summary and comparison of the MOZART-4 (MO), Reduced Hydrocarbon
(RH), and Super-Fast (SF) mechanisms included in this paper. All runs were
conducted on the NCAR Cheyenne system with 64 CPUs on two nodes without any
load optimization, and the values in this table represent the cost of the
entire CESM CAM-chem model, not just the chemistry component. In this study,
we removed many stratospheric species (see text), so we include both the
modified and unmodified (in parentheses) RH mechanisms. The MO and RH
mechanism include BAM.</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Abbreviation</oasis:entry>
         <oasis:entry colname="col2">MO</oasis:entry>
         <oasis:entry colname="col3">RH<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">SF<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Full name</oasis:entry>
         <oasis:entry colname="col2">MOZART-4</oasis:entry>
         <oasis:entry colname="col3">Reduced Hydrocarbon</oasis:entry>
         <oasis:entry colname="col4">Super-Fast</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Primary citation</oasis:entry>
         <oasis:entry colname="col2">Emmons et al. (2010)</oasis:entry>
         <oasis:entry colname="col3">Houwelling et al. (1998)</oasis:entry>
         <oasis:entry colname="col4">Cameron-Smith et al. (2006)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Total tracers</oasis:entry>
         <oasis:entry colname="col2">103</oasis:entry>
         <oasis:entry colname="col3">65 (89)</oasis:entry>
         <oasis:entry colname="col4">15</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total reactions</oasis:entry>
         <oasis:entry colname="col2">212</oasis:entry>
         <oasis:entry colname="col3">127 (202)</oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Reactions in NMHC chemistry</oasis:entry>
         <oasis:entry colname="col2">108</oasis:entry>
         <oasis:entry colname="col3">28</oasis:entry>
         <oasis:entry colname="col4">2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Core hours/simulated year</oasis:entry>
         <oasis:entry colname="col2">615</oasis:entry>
         <oasis:entry colname="col3">319</oasis:entry>
         <oasis:entry colname="col4">165 (204)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Simulated years/day</oasis:entry>
         <oasis:entry colname="col2">2.5</oasis:entry>
         <oasis:entry colname="col3">4.8</oasis:entry>
         <oasis:entry colname="col4">9.3 (7.5)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Efficiency (compared to MO)</oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">1.9</oasis:entry>
         <oasis:entry colname="col4">3.7 (3.0)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e290"><inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Unmodified RH listed in the parentheses.<?xmltex \hack{\\ }?>
<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> SF <inline-formula><mml:math id="M5" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Bulk Aerosol Model (BAM) included in parentheses.</p></table-wrap-foot></table-wrap>

<sec id="Ch1.S2.SS2.SSS1">
  <title>MOZART-4</title>
      <p id="d1e496">The MOZART-4 mechanism (Emmons et al., 2010; Lamarque et al., 2012; Tilmes et
al., 2015) is the standard tropospheric chemical mechanism used within the
CESM CAM-chem framework (Tilmes et al., 2015, 2016). It has been used in many
model intercomparison projects (e.g., Lamarque et al., 2013; Emmons et
al., 2015) and extended to tagged tracer chemistry (Emmons et al., 2012). As
described in detail in Emmons et al. (2010), the MOZART-4 mechanism is a
tropospheric mechanism that contains 85 gas-phase species and 12 bulk aerosol
species, with 39 photolysis and 157 gas-phase reactions. Large alkanes,
alkene, and aromatics are lumped together (BIGALK, BIGENE, and TOLUENE,
respectively), and monoterpenes are lumped together as <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and treated as <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene. We use the <?xmltex \hack{\mbox\bgroup}?>FMOZSOA<?xmltex \hack{\egroup}?> compset (see
<uri>http://www.cesm.ucar.edu/models/cesm1.2/cesm/doc/modelnl/compsets.html</uri>, last access: 10 October 2018) and make modifications to the chemical
mechanism input files (see “Code availability” section) and emission files
for the following mechanisms.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Reduced hydrocarbon</title>
      <p id="d1e535">The RH chemical mechanism (Houweling et al., 1998; Lamarque et al., 2010) is
a reduced-form mechanism based on the Carbon Bond Mechanism 4 (CBM-4) (Gery
et al., 1989). The CBM-4 was developed to simulate polluted regional
chemistry, and the RH mechanism updated and expanded this mechanism to also
be capable of simulating background low-<inline-formula><mml:math id="M10" 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> conditions
(Houweling et al., 1998). As described in Houweling et al. (1998), the
original RH mechanism has 30 tracers and 68 total reactions. It has been used
extensively in model intercomparisons (e.g., Pöschl et al., 2000) and is
generally considered a satisfactory reduced hydrocarbon mechanism (e.g.,
Hauglustaine et al., 1998; Wang and Prinn, 1999; Granier et al., 2000;
Pfister et al., 2014). Lamarque et al. (2008) incorporated the RH mechanism
into the CESM CAM-chem framework with a few updates, and Lamarque et
al. (2010) expanded it to 89 (to include the bulk aerosol model species)
tracers and 202 total reactions. As the lumping of alkanes and alkenes in<?pagebreak page4158?> RH
differs from the MO mechanism, a mapping between the differently aggregated
species is necessary (see Table S1).</p>
      <p id="d1e549">For this work, we modified the RH mechanism to remove many of the tracers and
reactions that are pertinent primarily to stratospheric chemistry (as
introduced in Lamarque et al., 2008) since these simulations include
specified long-lived stratospheric species (<inline-formula><mml:math id="M11" 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="M12" 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="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M14" 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>, <inline-formula><mml:math id="M15" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) as in MOZART-4 (Emmons et
al., 2010). However, the unmodified RH mechanism can be run with the more
complex stratospheric chemistry but at a significant additional cost. This is
not considered in this paper to allow a better comparison between the
tropospheric-only mechanisms. The modified RH mechanism, which shows only
minor differences in the simulated surface ozone concentration from the
complete mechanism (not shown), contains 65 tracers and 127 reactions. This
RH mechanism runs approximately twice as fast as the MO mechanism under our
current configuration (Table 1).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <title>Super-Fast</title>
      <p id="d1e621">The SF mechanism is a highly simplified chemical mechanism designed to
efficiently simulate background tropospheric ozone chemistry (Cameron-Smith
et al., 2006, and the Supplement of Lamarque et al., 2013) and has been
included in many model intercomparison projects, including ACCMIP (Lamarque
et al., 2013). These intercomparisons included studies which examined the
following: historical simulations to simulations to the end of the 21st
century (1850–2100) (Young et al., 2013), historical tropospheric <inline-formula><mml:math id="M16" 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>
changes and radiative forcing (Stephenson et al., 2013), and
<inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and OH lifetimes under present-day and future conditions
(Voulgarakis et al., 2013). Generally, the SF mechanism falls within the
range of ACCMIP results, with some exceptions that we briefly describe here
and in more detail in the Supplement. In general, the SF mechanism has
performed reasonably well for those species included in the mechanism.</p>
      <p id="d1e646">The SF mechanism only simulates sulfate aerosol, so comparisons with the
aerosol simulations of the other ACCMIP members were not possible (Lamarque
et al., 2013). The SF simulations within ACCMIP demonstrated lower rates of
ozone chemistry and deposition resulting in a low ozone burden bias
(<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> %) and a high ozone lifetime bias (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula> %) (Young et
al., 2013); however, historical and projected changes in ozone tropospheric
column and radiative forcing fell within the ACCMIP range (Stevenson et
al., 2013). Human health analysis with the SF simulations fell within the
range of the other ACCMIP members (Silva et al., 2013, 2016, 2017). Squire et
al. (2015) compared SF to more complicated isoprene schemes and concluded
that including the SF mechanisms is preferable to neglecting chemistry
entirely, although there are biases in regions of high biogenic chemistry.
Schnell et al. (2015) conclude that the SF mechanism responds differently
than other more complex mechanisms, particular under different
<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> production regimes (e.g., SF shows a net increase in
<inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> production when isoprene emissions increase in
<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>-limited regions, whereas the other mechanisms show a net
decrease or little change). Finally, Schnell et al. (2015) compare seasonal
and diurnal cycles to other mechanisms, and the SF mechanism simulates high
ozone events in the springtime, and they find that the SF mechanism
outperforms others mechanisms when compared to the observed summertime
diurnal cycle. An extended review of the SF mechanism performance within
model intercomparisons can be found in the Supplement.</p>
      <p id="d1e702">The SF mechanism includes 15 chemical tracers with 6 photolysis reactions and
24 gas-phase reactions, making it the simplest chemical mechanism to be
included as a member of the ACCMIP ensembles (Lamarque et al., 2013). It was
developed by the Lawrence Livermore National Laboratory (LLNL) and has not
been described as implemented within the CESM code, so we include a
description here and in our Supplement. Table S2 summarizes the SF<?pagebreak page4159?> mechanism
photolysis and gas-phase reactions, which consist of a basic methane
oxidation scheme (<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OOH</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</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 CO), with basic oxidant chemistry (OH and <inline-formula><mml:math id="M27" 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>), along with simple
sulfur chemistry (dimethyl sulfide (DMS), <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and a
single biogenic hydrocarbon species, isoprene (ISOP), with two oxidant
pathways: ISOP <inline-formula><mml:math id="M30" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OH and ISOP <inline-formula><mml:math id="M31" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M32" 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>. For Reactions (iii), (vi),
(10), (11), and (15) (Table S2), it is assumed that their products O, H, and
<inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are instantaneously converted to their ultimate products
<inline-formula><mml:math id="M34" 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="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. Nitric acid chemistry
is limited to two reactions, one of which requires a heterogeneous reaction
parameterization. Sulfur chemistry is limited to four reactions. Isoprene
chemistry is highly parameterized. The reaction of isoprene with OH is based
on the net effect of the reaction in the University of California Irvine
(UCI) model (Wild and Prather, 2000), namely ISOP <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:msup><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msup><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>. This particular
parameterized reaction, which when originally implemented used a negative
coefficient among the products (ISOP <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">1.5</mml:mn><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), is not standard within the CESM
chemical modeling framework and cannot be handled by the solver, so the
equivalent triple reaction formulation of (21a), (21b), and (21c) is
required. The oxidation of isoprene by ozone is a simple parameterization
(resulting in the fractional production of only the species that already
exist in the mechanism as part of the methane oxidation scheme: <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and CO) derived from the net effect of the
isoprene or ozone oxidation pathways from the full LLNL-IMPACT model (Rotman
et al., 2004) and was included specifically to improve the simulation of
surface ozone chemistry (Cameron-Smith et al., 2009). We map the MO isoprene
directly to the single SF isoprene species (ISOP).</p>
      <p id="d1e978">Much of the simplicity within the SF mechanism comes from what it does not
include. Carbon chemistry is limited to the five single-carbon species used
in the simple methane oxidation scheme, plus isoprene. There is no PAN
(peroxy acetyl nitrate) or ammonia, and hence no nitrogen aerosols, although
<inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is created in Reactions (8) and (16). These all impact ozone
chemistry, but the inclusion of additional hydrocarbon, aerosol, or
heterogeneous chemistry would introduce significant additional computational
costs (similar to the more complete mechanisms). There are no halogen
species, since this would require the inclusion of a significant number of
additional chemical tracers, and as such there is no capability to describe
the polar ozone hole phenomenon within the mechanism (Cameron-Smith et
al., 2006), so it is implemented within Linoz using the simple loss
parameterization of Cariolle et al. (1990). The greatest simplifications in
the SF mechanism arise from compacting all of the non-methane hydrocarbon
chemistry (NMHC) into two isoprene reactions, and thus there is none of the
complex chemistry that is required to adequately represent ozone chemistry in
highly polluted regions. The simplicity of the SF mechanism allowed us to
perform three short simulations in which we added reduced-form PAN and
<inline-formula><mml:math id="M43" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry (individually and in conjunction) from the MOZART-4
mechanism into the SF mechanism, which we use as a demonstration of the type
of sensitivity tests that are possible with the SF mechanism. This type of
quick sensitivity test would be significantly more difficult with the more
complex mechanisms, given the complexity of PAN and <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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Computational requirements</title>
      <p id="d1e1031">The computational requirements of MO, RH, and SF as simulated on the NCAR
Cheyenne supercomputer are summarized in Table 1. The computational cost
results from both the chemical solver and the advection of the chemical
tracers within CAM-chem. No load balancing was conducted, which could
potentially increase the efficiency of the RH and SF mechanisms. The CESM1.2
CAM-chem model run with the SF mechanism is roughly 3 times faster than a run
with the MO mechanism when the Bulk Aerosol Model (BAM) (see Tilmes et
al., 2015) aerosols are included (which we do not examine in this present
study), and a gas-phase-only simulation with the SF mechanisms increases the
speeds to nearly 4 times as fast. The RH mechanism is roughly twice as fast
as the MO mechanism. At higher spatial resolutions, the computational
advantage of the SF mechanism over the more complex MO and RH schemes is
likely to increase, since advection of tracers typically becomes a larger
fraction of the total model run time.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e1036">Maps of DJF and JJA <inline-formula><mml:math id="M45" 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>, CO, and <inline-formula><mml:math id="M46" 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 MO,
the difference between RH and MO, and that between SF and MO for the year
2015. The chemical units are in ppb. Please note the difference in the
chemical scales for each panel. Cool colors for the difference panels
indicate MO is higher, and warm colors indicate that RH or SF is higher.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f01.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS4">
  <title>Observations</title>
      <p id="d1e1074">The ozone observational databases are of two types: the global database is
ozonesonde data compiled from Tilmes et al. (2012) while the US database
comes from the EPA Clean Air Status and Trends Network (CASTNET), which has
more than 90 surface observational sites within the United States and has
been collecting surface meteorological and chemical data since 1990 (CASTNET,
2016, and <uri>https://www.epa.gov/castnet</uri>). We used data from all sites
that reported complete ozone data from each year, after removing data that
the CASTNET database marked as invalid. The number of sites that matched
these criteria varied from year to year, but generally we have between 55 and
94 sites throughout the 1991–2015 period. The CASTNET observational network
is located primarily in rural sites and thus is a reasonable comparison to
coarse-grid cell model output (e.g., Brown-Steiner et al., 2015, and
Phalitnonkiat et al., 2016). In order to compare to the CESM CAM-chem
simulations, which have no emissions trend, we have detrended the CASTNET
data for each region using a simple linear regression. Regional averaging is
first done by averaging all observational sites within a single
<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid cell and then averaging to the larger
regions as needed. We also compare to ozone precursor species observations
from Tilmes et al. (2015).</p>
</sec>
</sec>
<?pagebreak page4160?><sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Spatial comparisons</title>
      <p id="d1e1112">The spatial distribution of ozone and related species between the three
mechanisms are compared in Fig. 1. Taylor-like diagrams comparing results to
ozonesondes over different global regions are provided in Fig. 2 and
comparisons to aircraft observations in Fig. 3. Globally averaged surface
daily maximum 8 h (MDA8) <inline-formula><mml:math id="M48" 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> is consistent across all mechanisms
(Table 2) with the largest spatial differences (especially with the SF
mechanism) noted over regions of intense biomass burning or biogenic
emissions, such as equatorial Africa and South America, as well as over
Northern Hemisphere oceans within SF (Fig. 1). Surface CO mixing ratios show
small regional differences between MO and RH, while <inline-formula><mml:math id="M49" 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>
mixing ratios show very small and highly localized differences (Fig. 1). All
three mechanisms tend to have low CO biases over much of the Northern
Hemisphere, with SF showing the largest bias. This coincides with starkly
higher <inline-formula><mml:math id="M50" 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> mixing ratios in the Northern Hemisphere
(Figs. 1, 3), especially in the winter and spring seasons. This is explored
in more detail below.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e1150">Taylor-like diagrams comparing the mean and correlation of the
seasonal cycle between observations (present-day ozonesonde climatology –
Tilmes et al., 2012 – from 1995 to 2011 for different regions (tropics,
midlatitudes, and high latitudes) and different pressure levels (900, 250,
and 50 hPa), as in Fig. 12 of Tilmes et al., 2015, and simulations (red: MO;
blue: RH; green: SF).</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e1161">Relative differences between available aircraft observations (black)
and the MO, RH, and SF model configurations (colors) over different regions
and seasons, averaged over 2–7 km, for <inline-formula><mml:math id="M51" 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="M52" 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>,
CO, <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as in Fig. 17 of Tilmes et
al. (2015).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f03.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e1234">Summary statistics for the daily maximum 8 h (MDA8) <inline-formula><mml:math id="M56" 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> over
the globe and over the indicated regions in the US. Additional regions can be
found in Table S3.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="center"/>
     <oasis:colspec colnum="10" colname="col10" align="center"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">Mean</oasis:entry>

         <oasis:entry colname="col4">Median</oasis:entry>

         <oasis:entry colname="col5">Standard deviation</oasis:entry>

         <oasis:entry colname="col6">Variability</oasis:entry>

         <oasis:entry rowsep="1" namest="col7" nameend="col10" align="center">Percentile </oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7">90th</oasis:entry>

         <oasis:entry colname="col8">99th</oasis:entry>

         <oasis:entry rowsep="1" namest="col9" nameend="col10">99th–90th </oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">(ppbv)</oasis:entry>

         <oasis:entry colname="col4">(ppbv)</oasis:entry>

         <oasis:entry colname="col5">(ppbv)</oasis:entry>

         <oasis:entry colname="col6">(%)</oasis:entry>

         <oasis:entry colname="col7">(ppbv)</oasis:entry>

         <oasis:entry colname="col8">(ppbv)</oasis:entry>

         <oasis:entry colname="col9">(ppbv)</oasis:entry>

         <oasis:entry colname="col10">(%)</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">MO</oasis:entry>

         <oasis:entry colname="col3">32.6</oasis:entry>

         <oasis:entry colname="col4">32.6</oasis:entry>

         <oasis:entry colname="col5">0.93</oasis:entry>

         <oasis:entry colname="col6">2.86</oasis:entry>

         <oasis:entry colname="col7">33.8</oasis:entry>

         <oasis:entry colname="col8">35.3</oasis:entry>

         <oasis:entry colname="col9">1.52</oasis:entry>

         <oasis:entry colname="col10">105</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Global</oasis:entry>

         <oasis:entry colname="col2">RH</oasis:entry>

         <oasis:entry colname="col3">33.9</oasis:entry>

         <oasis:entry colname="col4">33.9</oasis:entry>

         <oasis:entry colname="col5">0.98</oasis:entry>

         <oasis:entry colname="col6">2.90</oasis:entry>

         <oasis:entry colname="col7">35.2</oasis:entry>

         <oasis:entry colname="col8">36.4</oasis:entry>

         <oasis:entry colname="col9">1.25</oasis:entry>

         <oasis:entry colname="col10">104</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">SF</oasis:entry>

         <oasis:entry colname="col3">31.5</oasis:entry>

         <oasis:entry colname="col4">31.4</oasis:entry>

         <oasis:entry colname="col5">1.12</oasis:entry>

         <oasis:entry colname="col6">3.57</oasis:entry>

         <oasis:entry colname="col7">33.0</oasis:entry>

         <oasis:entry colname="col8">34.1</oasis:entry>

         <oasis:entry colname="col9">1.07</oasis:entry>

         <oasis:entry colname="col10">103</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="3">CO US</oasis:entry>

         <oasis:entry colname="col2">CASTNET</oasis:entry>

         <oasis:entry colname="col3">56.1</oasis:entry>

         <oasis:entry colname="col4">55.8</oasis:entry>

         <oasis:entry colname="col5">5.65</oasis:entry>

         <oasis:entry colname="col6">10.1</oasis:entry>

         <oasis:entry colname="col7">63.4</oasis:entry>

         <oasis:entry colname="col8">71.0</oasis:entry>

         <oasis:entry colname="col9">7.60</oasis:entry>

         <oasis:entry colname="col10">112</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">MO</oasis:entry>

         <oasis:entry colname="col3">56.7</oasis:entry>

         <oasis:entry colname="col4">56.6</oasis:entry>

         <oasis:entry colname="col5">3.08</oasis:entry>

         <oasis:entry colname="col6">5.43</oasis:entry>

         <oasis:entry colname="col7">60.6</oasis:entry>

         <oasis:entry colname="col8">64.4</oasis:entry>

         <oasis:entry colname="col9">3.82</oasis:entry>

         <oasis:entry colname="col10">106</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">RH</oasis:entry>

         <oasis:entry colname="col3">57.7</oasis:entry>

         <oasis:entry colname="col4">57.6</oasis:entry>

         <oasis:entry colname="col5">3.23</oasis:entry>

         <oasis:entry colname="col6">5.60</oasis:entry>

         <oasis:entry colname="col7">61.8</oasis:entry>

         <oasis:entry colname="col8">65.9</oasis:entry>

         <oasis:entry colname="col9">4.10</oasis:entry>

         <oasis:entry colname="col10">107</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">SF</oasis:entry>

         <oasis:entry colname="col3">53.4</oasis:entry>

         <oasis:entry colname="col4">53.3</oasis:entry>

         <oasis:entry colname="col5">3.59</oasis:entry>

         <oasis:entry colname="col6">6.72</oasis:entry>

         <oasis:entry colname="col7">57.9</oasis:entry>

         <oasis:entry colname="col8">62.8</oasis:entry>

         <oasis:entry colname="col9">4.87</oasis:entry>

         <oasis:entry colname="col10">108</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="3">E US</oasis:entry>

         <oasis:entry colname="col2">CASTNET</oasis:entry>

         <oasis:entry colname="col3">56.4</oasis:entry>

         <oasis:entry colname="col4">56.0</oasis:entry>

         <oasis:entry colname="col5">6.41</oasis:entry>

         <oasis:entry colname="col6">11.4</oasis:entry>

         <oasis:entry colname="col7">64.5</oasis:entry>

         <oasis:entry colname="col8">73.3</oasis:entry>

         <oasis:entry colname="col9">8.78</oasis:entry>

         <oasis:entry colname="col10">114</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">MO</oasis:entry>

         <oasis:entry colname="col3">58.6</oasis:entry>

         <oasis:entry colname="col4">58.4</oasis:entry>

         <oasis:entry colname="col5">5.77</oasis:entry>

         <oasis:entry colname="col6">9.85</oasis:entry>

         <oasis:entry colname="col7">66.1</oasis:entry>

         <oasis:entry colname="col8">72.8</oasis:entry>

         <oasis:entry colname="col9">6.70</oasis:entry>

         <oasis:entry colname="col10">110</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">RH</oasis:entry>

         <oasis:entry colname="col3">59.7</oasis:entry>

         <oasis:entry colname="col4">59.5</oasis:entry>

         <oasis:entry colname="col5">6.06</oasis:entry>

         <oasis:entry colname="col6">10.2</oasis:entry>

         <oasis:entry colname="col7">67.5</oasis:entry>

         <oasis:entry colname="col8">74.7</oasis:entry>

         <oasis:entry colname="col9">7.17</oasis:entry>

         <oasis:entry colname="col10">111</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">SF</oasis:entry>

         <oasis:entry colname="col3">56.5</oasis:entry>

         <oasis:entry colname="col4">56.1</oasis:entry>

         <oasis:entry colname="col5">7.12</oasis:entry>

         <oasis:entry colname="col6">12.6</oasis:entry>

         <oasis:entry colname="col7">66.0</oasis:entry>

         <oasis:entry colname="col8">74.8</oasis:entry>

         <oasis:entry colname="col9">8.77</oasis:entry>

         <oasis:entry colname="col10">113</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="3">NE US</oasis:entry>

         <oasis:entry colname="col2">CASTNET</oasis:entry>

         <oasis:entry colname="col3">57.4</oasis:entry>

         <oasis:entry colname="col4">56.9</oasis:entry>

         <oasis:entry colname="col5">7.42</oasis:entry>

         <oasis:entry colname="col6">12.9</oasis:entry>

         <oasis:entry colname="col7">66.6</oasis:entry>

         <oasis:entry colname="col8">78.1</oasis:entry>

         <oasis:entry colname="col9">11.4</oasis:entry>

         <oasis:entry colname="col10">117</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">MO</oasis:entry>

         <oasis:entry colname="col3">74.4</oasis:entry>

         <oasis:entry colname="col4">73.7</oasis:entry>

         <oasis:entry colname="col5">11.4</oasis:entry>

         <oasis:entry colname="col6">15.4</oasis:entry>

         <oasis:entry colname="col7">89.8</oasis:entry>

         <oasis:entry colname="col8">104</oasis:entry>

         <oasis:entry colname="col9">13.8</oasis:entry>

         <oasis:entry colname="col10">115</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">RH</oasis:entry>

         <oasis:entry colname="col3">76.0</oasis:entry>

         <oasis:entry colname="col4">75.1</oasis:entry>

         <oasis:entry colname="col5">11.9</oasis:entry>

         <oasis:entry colname="col6">15.6</oasis:entry>

         <oasis:entry colname="col7">92.0</oasis:entry>

         <oasis:entry colname="col8">107</oasis:entry>

         <oasis:entry colname="col9">14.8</oasis:entry>

         <oasis:entry colname="col10">116</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">SF</oasis:entry>

         <oasis:entry colname="col3">72.6</oasis:entry>

         <oasis:entry colname="col4">71.3</oasis:entry>

         <oasis:entry colname="col5">14.5</oasis:entry>

         <oasis:entry colname="col6">20.0</oasis:entry>

         <oasis:entry colname="col7">91.8</oasis:entry>

         <oasis:entry colname="col8">114</oasis:entry>

         <oasis:entry colname="col9">21.9</oasis:entry>

         <oasis:entry colname="col10">124</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">NE US single</oasis:entry>

         <oasis:entry colname="col2">CASTNET</oasis:entry>

         <oasis:entry colname="col3">59.7</oasis:entry>

         <oasis:entry colname="col4">59.3</oasis:entry>

         <oasis:entry colname="col5">11.1</oasis:entry>

         <oasis:entry colname="col6">18.6</oasis:entry>

         <oasis:entry colname="col7">73.9</oasis:entry>

         <oasis:entry colname="col8">86.9</oasis:entry>

         <oasis:entry colname="col9">13.0</oasis:entry>

         <oasis:entry colname="col10">118</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">grid cell</oasis:entry>

         <oasis:entry colname="col2">MO</oasis:entry>

         <oasis:entry colname="col3">84.9</oasis:entry>

         <oasis:entry colname="col4">85.4</oasis:entry>

         <oasis:entry colname="col5">12.8</oasis:entry>

         <oasis:entry colname="col6">15.1</oasis:entry>

         <oasis:entry colname="col7">101</oasis:entry>

         <oasis:entry colname="col8">115</oasis:entry>

         <oasis:entry colname="col9">13.7</oasis:entry>

         <oasis:entry colname="col10">114</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">RH</oasis:entry>

         <oasis:entry colname="col3">86.1</oasis:entry>

         <oasis:entry colname="col4">86.2</oasis:entry>

         <oasis:entry colname="col5">13.2</oasis:entry>

         <oasis:entry colname="col6">15.3</oasis:entry>

         <oasis:entry colname="col7">103</oasis:entry>

         <oasis:entry colname="col8">117</oasis:entry>

         <oasis:entry colname="col9">14.4</oasis:entry>

         <oasis:entry colname="col10">114</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">SF</oasis:entry>

         <oasis:entry colname="col3">99.6</oasis:entry>

         <oasis:entry colname="col4">97.3</oasis:entry>

         <oasis:entry colname="col5">25.6</oasis:entry>

         <oasis:entry colname="col6">25.7</oasis:entry>

         <oasis:entry colname="col7">133</oasis:entry>

         <oasis:entry colname="col8">171</oasis:entry>

         <oasis:entry colname="col9">38.2</oasis:entry>

         <oasis:entry colname="col10">129</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1979">Zonal profiles (Fig. 4) show that ozone is similar among all mechanisms for
all seasons, especially in the lower troposphere. Compared to the MO
mechanism, the SF mechanism simulates higher Northern Hemisphere ozone in the
winter, and lower in the summer. Both the RH and SF mechanisms simulate lower
CO mixing ratios than the MO mechanism in both the summer and winter, with
the SF mechanism diverging the most in the Northern Hemisphere in the summer.
The SF mechanism also simulates higher <inline-formula><mml:math id="M57" 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> in the Northern Hemisphere winter, which (as we explore below) may in part be due to the lack
of PAN chemistry.</p>
      <p id="d1e1993">At the largest spatial scales, all three mechanisms predict similar levels of
surface ozone (Fig. 5, Table 2), with global surface ozone estimates of
<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mn mathvariant="normal">32.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.93</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mn mathvariant="normal">33.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.98</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.12</mml:mn></mml:mrow></mml:math></inline-formula> ppb for MO, RH, and SF,
respectively. Even at the continental-US scale, all three mechanisms estimate
similar surface MDA8 <inline-formula><mml:math id="M61" 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> values (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mn mathvariant="normal">56.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.08</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mn mathvariant="normal">57.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.23</mml:mn></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mn mathvariant="normal">53.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.59</mml:mn></mml:mrow></mml:math></inline-formula> ppb for MO, RH, and SF, respectively), which are consistent
with the CASTNET observations of <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">56.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.65</mml:mn></mml:mrow></mml:math></inline-formula> ppb. However, within the
northeastern US, the well-known high bias is apparent (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">74.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.4</mml:mn></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mn mathvariant="normal">76.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.9</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">72.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.5</mml:mn></mml:mrow></mml:math></inline-formula> ppb for MO, RH, and SF, respectively, while
the CASTNET observations are <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mn mathvariant="normal">57.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.42</mml:mn></mml:mrow></mml:math></inline-formula> ppb). The MO and RH mechanisms
are nearly identical at all spatial scales, while the SF mechanism simulates
larger MDA8 <inline-formula><mml:math id="M70" 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> variability, especially at individual grid cells
within the eastern US. Taking into account the model ozone biases, the SF is
a better characterization of the ozone distribution (as compared to CASTNET)
for almost every spatial scale examined within the US. Indeed, in the
southeastern US, where we expect SF to perform poorly due to the simplified
biogenic species chemistry, we actually find that the SF estimates the shape
of the high ozone tail better than either MO or RH: CASTNET estimates at an
individual grid cell that the 99th percentile for MDA8 <inline-formula><mml:math id="M71" 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> is 18 %
higher than the 90th percentile (Table 2), and while MO and RH both estimate it to
be only 14 % higher, the SF estimates it to be 29 % higher. In Sect. 4,<?pagebreak page4162?> we explore some of the
implications of these differences and in particular whether the biases within
the SF mechanism are of the same magnitude as some of the biases within the
MO and RH.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e2165">Zonal plots of seasonal <inline-formula><mml:math id="M72" 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>, CO, and <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> for
MO, the difference between RH and MO, and between SF and MO for the year
2015. The vertical axis is the model level, and the chemical units are in
ppb. Please note the different vertical axis in each row. Cool colors for the
different panels indicate MO is higher, and warm colors indicate that RH or
SF is higher.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f04.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e2198">Surface JJA MDA8 <inline-formula><mml:math id="M74" 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> boxplots for the 1991–2014 data for
CASTNET (grey), MO (red), RH (blue), and SF (green) averaged over the various
regions. Plots <bold>(g, h, i)</bold> are individual grid cells from within each
region (38.8<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 87.5<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W for <bold>g</bold>,
38.8<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 80.0<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W for <bold>h</bold>, and 33.2<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
and 85.0<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W for <bold>i</bold>). Global boxplots are included along with
the continental US. The units are in ppb, and for each boxplot the box
contains the interquartile range (IQR), the horizontal line within the box is
the median, and the whiskers extend out to the farthest point which is within
1.5 times the IQR, with circles indicating any outliers. Note the scale
difference between the top row and the rest of the panels.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f05.pdf"/>

        </fig>

      <p id="d1e2286">Figure 6 explores this finding, which plots the percentage difference between
the 99th and the 90th percentile ozone as the length of the time series
included grows. This comparison allows for a comparison of the relative
distribution among mechanisms, here for the higher end of ozone values, to
compare the overall shape of each mechanism's distribution when biases in the
magnitudes are normalized. We note that (1) it takes between 5 and 10 years
before a consistent and stable estimate emerges with each simulation,
indicating that simulations less than 10 years may be inadequate<?pagebreak page4163?> for
comparisons between chemical mechanisms; (2) the CASTNET observations have a
transient estimate, most notably in the southeastern US, which indicates a
divergence of the 99th and the 90th percentiles (i.e., a lengthening of the
upper tail) that is not seen in the simulations; and (3) the SF mechanism is
inconsistent with the MO and RH mechanisms, which are nearly identical, but
the SF mechanism estimate is also closer to the CASTNET estimate in the
midwestern and southeastern US. Whether this is the result of fortunate
biases within the SF mechanism or an implication that the more complex
chemistry within the MO and RH mechanisms are underestimating the length of
the ozone tail requires further study. Brown-Steiner et al. (2018a) examines
these implications, and also concludes that it takes approximately 10 years
for long-term signals to emerge from meteorological variability. These
results demonstrate the challenge in examining chemical signals in highly
variable data, particularly if there are trends or changes to the ozone
distribution, as is seen in the CASTNET data for the southeastern US.</p>
      <p id="d1e2289">However, while the SF mechanism performs as well as, or better than, the MO
and RH mechanisms in certain regions, there are many regions – especially in
the northernmost latitudes over land and over equatorial land masses – where
the SF mechanism is far less capable at simulating surface ozone than either
the MO or RH mechanisms. Figure 7 plots <inline-formula><mml:math id="M81" 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> values for the MDA8 <inline-formula><mml:math id="M82" 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>
JJA time series (1990–2015) at every grid cell between the MO mechanism and
both RH and SF, and it is clear that the RH mechanism has very high <inline-formula><mml:math id="M83" 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>
values (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>) over much of the globe. And while the SF mechanism has
large <inline-formula><mml:math id="M85" 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> values over many regions – in particular the extratropics –
over the equatorial regions, and especially over land, <inline-formula><mml:math id="M86" 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> values drop
below 0.5 and even 0.25.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e2365">The relative difference (%) between the 99th percentile and the
90th percentile of JJA MDA8 <inline-formula><mml:math id="M87" 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> for CASTNET and the three mechanisms
over three regions as a function of increasing length of simulation, from
1 day up to the full 25 years simulated. The vertical bars indicate the year
2000, for which the emissions for all three simulations were cycled.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f06.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e2387"><inline-formula><mml:math id="M88" 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> values calculated at every grid cell (for the full 1991–2015
MDA8 <inline-formula><mml:math id="M89" 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> JJA time series) for MO and RH <bold>(a)</bold> and MO and
SF <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f07.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Seasonal and diurnal comparisons</title>
      <?pagebreak page4164?><p id="d1e2429">The seasonality of surface ozone is similar among all three mechanisms at the
regional scales (Fig. 8), although differences occur at both the largest and
smallest scales: (1) the SF mechanism simulates a dual-peaked maximum in
surface ozone averaged at the global scale, a phenomenon also noted by
Schnell et al. (2015); (2) this dual-peaked maximum is still apparent at the
regional scales, although to a much lesser degree; and (3) the RH mechanism
has a dual-peaked maximum over portions of the southeastern US. The seasonal
patterns for CO and <inline-formula><mml:math id="M90" 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 consistent across all models,
although CO is lower in both RH and SF than in MO for all seasons. RH and MO
<inline-formula><mml:math id="M91" 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> levels are nearly identical, but SF simulates higher
values for <inline-formula><mml:math id="M92" 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> in all seasons, and particularly in the
winter and spring seasons, as already noted. <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
isoprene seasonality is consistent across all mechanisms at most scales.
<?xmltex \hack{\newpage}?>
Diurnal cycles are compared for a single grid cell within the central US in
Fig. 9. With the exception of isoprene within the SF mechanism, which does
not adequately represent nighttime isoprene chemistry, the diurnal cycles are
comparable across all mechanisms for most species. The MO and RH mechanisms
are nearly identical, with the exception of CO values, as already mentioned.
The SF mechanism tends to show more extreme peaks in OH and
<inline-formula><mml:math id="M94" 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 lower levels of <inline-formula><mml:math id="M95" 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>, CO, <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (Fig. 9).
Surface levels of <inline-formula><mml:math id="M98" 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 CO within the SF mechanisms are sensitive to
the addition of PAN and <inline-formula><mml:math id="M99" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry (the dotted lines in Fig. 9),
described below, although the sensitivity tends to be in the simulated
magnitude and not the shape of the diurnal cycle.</p>
      <p id="d1e2560">Figures 8 and 9 also include 2-year simulations (1990–1991, with year 2000
emissions) which we included in the SF mechanism PAN 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
chemistry taken (and reduced) from the MOZART-4 mechanism. We examine these
mainly to demonstrate the potential for the modification of the SF mechanism
to meet particular research needs. Largely, the addition of PAN chemistry
(purple lines) results in more substantial changes to various species than
the addition of <inline-formula><mml:math id="M101" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry (orange lines), but their combined
addition (green lines) slightly modifies the simulated large-scale values of
<inline-formula><mml:math id="M102" 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>, CO, <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and isoprene. The addition of PAN
chemistry brings the SF mechanism simulations closer to the MO mechanism for
the <inline-formula><mml:math id="M104" 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="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> seasonal cycles (Fig. 8)
and the CO diurnal cycle (Fig. 9) but at the expense of the global-scale
capability to simulate ozone and isoprene. Additional tuning of the
parameterized Reactions (21) and (22) (Table S2) may be able to correct these
errors. Sulfate aerosol in the SF mechanisms is notably lower than in both
the MO and RH mechanisms, which may result from the simple aerosol scheme
within the SF mechanism.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e2642">Seasonal time series for <inline-formula><mml:math id="M106" 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>, CO, <inline-formula><mml:math id="M107" 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="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and ISOP for MO (red), RH (blue), and SF (green) for a
single year (2015), averaged over different regions. The units are in ppb.
Note the different scales in each panel. Also included are three sensitivity
tests conducted with the SF mechanism (which were run for only 2 years,
1990–1991, with 1991 being plotted here): adding PAN chemistry (purple),
adding <inline-formula><mml:math id="M109" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry (orange), and adding both PAN and
<inline-formula><mml:math id="M110" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry (black).</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f08.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p id="d1e2719">Example diurnal time series for various species for MO (red
circles), RH (blue triangles), and SF (green diamonds) averaged over a single
grid cell in the central US (100<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> west and 47<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> north). The
units are in ppb. Also included are three sensitivity tests conducted with
the SF mechanism: adding PAN chemistry (purple), adding <inline-formula><mml:math id="M113" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
chemistry (orange), and adding both PAN and <inline-formula><mml:math id="M114" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry (black).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f09.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <title>Comparison to observations</title>
      <p id="d1e2784">Figure 10 compares the model estimates of surface ozone to observations
(ozonesondes and CASTNET observations) for different spatial regions, as well
as to each other. Generally, all three mechanisms simulate less variability
over continental to global-scale regions than the ozonesonde observations
(Fig. 10c–e) and show a high bias over many sites within North America,
Europe, and Asia. Within the US, all mechanisms show a high bias in the
eastern US, and especially in the northeastern US, but the variability is
well-captured when compared to CASTNET (with slopes ranging from 0.61 to 1.24
in Fig. 10f–h). When compared to each other (Fig. 10a, b, i, j), the RH
mechanism and MO mechanism are nearly identical. The SF mechanism, while
comparable to the MO mechanism at many sites, shows greater divergence,
overestimating values in many grid cells throughout the globe (Fig. 10b) and
both over- and underestimating within the US (Fig. 10j). Taylor-like diagrams
are plotted in Fig. 2 and show the close clustering of the MO and RH
mechanisms and that the SF mechanism differs from the observations at a
similar magnitude to the MO and RH mechanism for some regions<?pagebreak page4167?> but performs
poorly in other regions (especially in the tropics, where tropospheric ozone
is underestimated with the SF mechanism).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p id="d1e2789">Scatterplots comparing model results to observations (two center
columns) and to each other (two outer columns). Global comparisons to observations <bold>(c, d, e)</bold> compare model results to ozonesondes (JJA averages), while regional comparisons to observations
<bold>(f, g, h)</bold> compare the model results to CASTNET surface observations
(JJA MDA8 <inline-formula><mml:math id="M115" 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>). For the model-to-model comparisons (global in <bold>a, b</bold> and within the US in <bold>i, j</bold>), grey symbols
additionally compare every grid cell in the model output. The numbers within each subplot indicate the slope (left hand side) and <inline-formula><mml:math id="M116" 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> values (right hand side) for each region. Each panel is labeled with the following convention: “<inline-formula><mml:math id="M117" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis” vs.
“<inline-formula><mml:math id="M118" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis”.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/11/4155/2018/gmd-11-4155-2018-f10.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
      <p id="d1e2855">Our primary objective has been to determine what is lost (or gained) with the
selection of a simplified chemical mechanism, which we summarize here. We
mostly discuss the SF mechanism, as the trade-offs with the RH mechanisms are
straightforward: we lose very little (Fig. 10a and i) and gain about a
100 % increase in simulation speed (Table 1). Many of the things that are
lost with the use of the SF mechanism are expected: we lose the capability to
directly simulate small-scale features of ozone chemistry in regions that
depend strongly on complex biogenic chemistry. In particular, the equatorial
landmasses – especially equatorial Africa and South America – are not well
simulated (Fig. 7). We also lose the capability to simulate some of the
short-term features that require additional chemistry, such as the nighttime
behavior of isoprene (Fig. 9) or the cold season CO and <inline-formula><mml:math id="M119" 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>
behavior (Figs. 1 and 4). The addition of PAN and <inline-formula><mml:math id="M120" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry
does not rectify the nighttime behavior of isoprene (Fig. 9) but do bring the
cold-season-simulated CO and <inline-formula><mml:math id="M121" 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> mixing ratios closer to the
MO mechanism (Fig. 8). These deficiencies may result from the highly
parameterized biogenic chemistry within the SF mechanisms (Table S2),
although it may also result from the treatment of isoprene emissions, and
future simulations will need to consider the trade-off between additional
complexity and computational efficiency.</p>
      <?pagebreak page4168?><p id="d1e2896">More surprisingly, there are several desirable capabilities that are not lost
with the selection of the SF mechanism. For most regions, the selection of
the SF mechanism does not degrade the estimate of surface ozone (both the
magnitude and the variability), nor do we lose features of the daily
variability that results from the meteorology. In many regions, and at many
scales, we find that the selection of the SF mechanism introduces
uncertainties that are smaller than the difference between the simulated and
observed surface ozone mixing ratios (Fig. 5). Surface layer ozone is
adequately represented over many regions in all seasons within the SF
mechanism (Fig. 8), despite the high CO and low <inline-formula><mml:math id="M122" 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> levels
in the winter and spring seasons (Fig. 4). For these seasons, the adequate
ozone representation may be the result of compensating errors, and Schnell et
al. (2015) previously found comparable cases where the SF mechanism
outperforms more complex models, perhaps due to various sets of compensating
biases or errors.</p>
      <p id="d1e2910">We now turn to the main question of this research: what do we gain when we
select a simplified chemical mechanism? The primary thing we gain is the
capability to simulate longer periods of time or to include more members in
an ensemble in proportion to the simplicity of the mechanism. Our results
show that, without any optimization of the code, the RH mechanism is <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> % faster than the MO mechanism, and the SF mechanism is up to
200 % faster than the MO mechanism (Table 1). We feel that the capability
to run three SF simulations for the price of one MO simulation under
different sets of initial conditions, for example, can extend the
quantification of parametric uncertainties, which is largely unavailable to
the most complex and most computationally demanding mechanisms. Of course,
the SF mechanism may not be appropriate for every sensitivity study but
neither is the MO mechanism. The choice of mechanism really depends, then, on
the science question. If the research objective is to predict complex
chemistry–climate interactions and if computational resources are available,
then a more complex mechanism will have the most value. However, if the
research objective is to better understand various parameterizations, then a
more computationally efficient<?pagebreak page4169?> mechanism will have higher value even if it
might not be capable of accurately simulating all variables in detail
(Hoffman et al., 1996). This is particularly the case when a baseline can be
established between the simplified mechanism and the complex mechanism, as we
have done here. We feel that this parallel approach, in which a set of
mechanisms with varying levels of complexity are run concurrently with a
consistent set of parameters, allows us to enhance our exploration of
uncertainties and thus our ability to understand the atmospheric chemistry of
the Earth system.</p>
      <p id="d1e2923">For instance, there are many research frameworks where the “three-for-one”
advantage of the SF mechanism could be utilized with the MO mechanism, in
which one simulation of a 5- or 10-year time slice with the MO mechanisms
could be combined with three simulations of the SF mechanism, one matching
the parameters of the MO mechanism (in order to provide a consistent
baseline) and the other two exploring other parameter spaces (e.g., different
initial conditions or different emission scenarios). The establishment of a
baseline comparison is particularly important, since the SF mechanism is a
simplified mechanism and should not be blindly trusted to reproduce the
behavior of more complex mechanisms. For example, if a research group is
interested in precise estimates of ozone concentrations in regions where the
biogenic influence is significant, the SF mechanism would prove insufficient.
The RH mechanism may be sufficient, but the more modest increase in
computational speed – a “two-for-one” advantage over the MO mechanism –
may not be enough to justify the simulation. If, however, the phenomenon of
interest can be shown to be within the SF mechanism capabilities (e.g.,
simulating regional-scale ozone, as shown in this paper), the
“three-for-one” advantage of the SF mechanism is readily apparent. The SF
mechanism may be particularly desirable with chemistry–climate simulations
at higher spatial resolutions.</p>
      <p id="d1e2927">In addition, the selection of a simplified mechanism allows for the
capability to easily and efficiently test new forms and new representations
of chemistry without the need to painstakingly update and test all possible
interactions of any addition within a complex mechanism. For example, in this
study, we added a simplified PAN and <inline-formula><mml:math id="M124" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> representation to the SF
mechanism (Figs. 8 and 9) to see how it improves the simulations. This
exercise offered a significant capability to test, simulate, and further
learn about improving atmospheric chemistry computations. This demonstrates
that a hybrid approach (or tiered approach, as recommended in Uusitalo et
al., 2015) – in which complex and trusted chemical mechanisms are used to
evaluate simplified mechanisms that can run for longer periods or with
increased ensemble members – has the potential to maximize computational
capabilities and to get the most out of atmospheric chemistry modeling.</p>
      <p id="d1e2946">Furthermore, the selection of a simple chemical mechanism – especially when
used in conjunction with more complex mechanisms within a consistent modeling
framework – allows for better quantification of the uncertainties and the
relative importance of particular pieces of the chemistry. Here, for
instance, the SF mechanism's representation of biogenic species chemistry is
insufficient to adequately represent equatorial landmasses, but the
reduced-form RH mechanism is nearly as capable as the MO mechanism over most
regions and most species. This begs the following question: is there a
representation of biogenic chemistry somewhere between the RH and the SF
mechanisms that can approach the efficiency of the SF mechanism and the
accuracy of the RH mechanism? We hope that future research will address this
question, as well as others, such as more globally oriented research
pertaining to ozone budgets and the interaction between OH and <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
lifetime. In addition, comparisons of chemical mechanisms of different
complexities, particularly where the simplified mechanisms fail, could
potentially identify regional chemical regimes. For instance, the SF
mechanism cannot adequately represent the chemistry of equatorial forests
(Fig. 7), and the spatial regions that fail to simulate ozone chemistry are
similar to the spatial distribution of the tropical forest chemical regime
identified in Fig. 4 of Sofen et al. (2016), which utilized a statistical
clustering technique to identify chemical regimes. Finally, the capability to
examine atmospheric chemistry complexity in a step-wise fashion could also be
utilized to bridge the gap between the most complex 3-D chemical models and
the more efficient models utilized by the Earth models of intermediate
complexity (EMIC) or integrated assessment model (IAM) communities.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusion</title>
      <p id="d1e2966">In this study, we have compared three chemical
mechanisms of different levels of complexity within the CESM CAM-chem
framework for present-day chemical and climatological conditions. We
conducted 25-year cycled emission simulations nudged to MERRA meteorology
with the standard tropospheric MOZART-4 (MO) mechanism of Emmons et
al. (2010), the Reduced Hydrocarbon (RH) mechanism of Houweling et
al. (1998), and the Super-Fast (SF) mechanism of Cameron-Smith et al. (2006).
The RH mechanism is roughly twice as efficient as the MO mechanism, and the
SF mechanism is roughly 3 times as efficient as the MO mechanism, without
any code optimization. As much as possible, we kept the parameterizations
consistent across all mechanisms, although we had to remap some of the MO
mechanism species to match up with the RH mechanism species.</p>
      <p id="d1e2969">We examine present-day chemistry with MO, RH, and SF. Both MO and SF have
been compared in other model intercomparisons, including for preindustrial
conditions (see the Supplement for additional information). We hope that the
analysis presented in this paper and the availability of the mechanism files
(Supplement) will provide a baseline for continuing research on both the RH
and SF mechanisms.</p>
      <p id="d1e2972">We find that all three mechanisms successfully capture surface ozone values
at the larger spatial scales, but at smaller<?pagebreak page4170?> spatial scales, and especially
within the northeastern US, all three mechanisms have surface ozone biases
when compared to CASTNET observations; however, the mean values for all three
mechanisms are consistent with each other at a variety of spatial scales. The
SF mechanism simulations show larger ozone variability than the MO and RH
simulations, although when normalizing the distributions to account for the
known ozone biases, the SF mechanism represents the shape and spread of the
ozone distributions better than the MO or RH mechanisms when compared to the
CASTNET observations (Fig. 5).</p>
      <p id="d1e2975">The RH mechanism is in close agreement with the MO mechanism for nearly every
metric we examined, and any differences tend to be minor (both in magnitude
and in spatial extent). The SF mechanism simulates higher
<inline-formula><mml:math id="M126" 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 lower CO than the MO mechanism, and the
<inline-formula><mml:math id="M127" 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> deviations are particularly large in the winter season.
In addition, the SF mechanism deviates from the MO mechanism over regions of
high biogenic emissions, such as equatorial Africa and South America. These
large deviations within the SF mechanism are likely a result of the
simplicity of the mechanism and especially of the lack of biogenic species
chemistry beyond a single-species, two-reaction representation as well as a
lack of PAN and <inline-formula><mml:math id="M128" 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:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry (Figs. 8 and 9). The SF mechanisms do
not include <inline-formula><mml:math id="M129" 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>, which may also explain some of the nighttime biases.
Future simulations in which <inline-formula><mml:math id="M130" 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> chemistry is added to the SF
mechanism may correct some of these biases. We also find that although the SF
mechanism differs in the magnitude of the estimated ozone from the other two
mechanisms, the simulated ozone variability is similar in all three
mechanisms (Figs. 4 and 10).</p>
      <p id="d1e3039">We find that there are significant gains that can be realized by a research
approach that utilizes simulations with both a complex and a simplified
chemical mechanism where the complex mechanisms are used to provide a more
trusted chemical result (especially for the mean values) and the simple
mechanism could be used to efficiently simulate longer time periods to better
understand the roles of meteorological variability. The capability of the SF
mechanism to simulate adequate chemistry with interactive meteorology is not
examined here nor is the coupling of the SF mechanism with modal aerosols,
which is left for future research. These results encourage revitalizing or
creating simplified chemical mechanisms within individual modeling frameworks
and examining the structural uncertainties that exist between different
models with regards to simplified chemical mechanisms.</p>
      <p id="d1e3042">Finally, we note that there are many inherent uncertainties associated with
the use and comparison of chemical mechanisms and climate–chemistry
simulations, many of which are inherited with the adoption of a particular
model. The CESM CAM-chem model has been used extensively to examine a variety
of climate and chemistry phenomena, and uncertainties that arise from the
individual choices made during the historical development of this chemical
model (see Brasseur et al., 1998; Hauglustaine et al., 1998; Horowitz et
al., 2003; Kinnison et al., 2007; Emmons et al., 2010) are still present in
the CESM CAM-chem modeling framework, such as which scheme or
parameterization was to be included and the specific metric and methodology
of tuning the climate model to historical data (see Hourdin et al., 2017, and
references therein). Future simulations using different model versions or
different choices of parameterizations, schemes, emissions, and other input
datasets will need to examine the impact of those choices on the simulated
chemical uncertainty and compare these to the uncertainty that arises from
the selection of the different chemical mechanisms presented here.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability">

      <p id="d1e3049">CESM CAM-Chem code is available through the National Center
for Atmospheric Research/University Corporation for Atmospheric Research
(NCAR/UCAR) website
(<uri>http://www.cesm.ucar.edu/models/cesm1.2/</uri>, last access: 10 October 2018), and this project made no code modifications from the released
model version. The chemical mechanism files for both RH
(reduced_hydrocarbon.in) and SF (superfast.in) are available on
Massachusetts Institute of Technology servers at
<uri>http://dspace.mit.edu/handle/1721.1/114993</uri> (Brown-Steiner et al., 2018b).</p>
  </notes><notes notes-type="dataavailability">

      <p id="d1e3061">The raw model output is archived on the NCAR servers, and
processed data are available on Massachusetts Institute of Technology servers
at <uri>http://dspace.mit.edu/handle/1721.1/114993</uri> (Brown-Steiner et al., 2018b).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3067">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/gmd-11-4155-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/gmd-11-4155-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e3076">BBS prepared and ran the simulations and prepared the
paper under direction and advice of NES and RP. LE and ST aided in the
development, preparation, and analysis of the simulations as well as in
reviewing the paper. JFL advised and aided in the Reduced Hydrocarbon
simulation. PCS advised and aided in the Super-Fast simulation. JFL and PCS
also reviewed the paper.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e3082">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3088">This model development work was supported by the U.S. Department of Energy
(DOE) Grant DE-FG02-94ER61937 to the MIT Joint Program on the Science and
Policy of Global Change. The work of PC was supported through the Scientific
Discovery through Advanced Computing (SciDAC) program funded by the DOE
Office of Science, Advanced Scientific Computing Research and Biological and
Environmental Research, and was performed under the auspices of the DOE by
Lawrence Livermore National Laboratory under contract DE-AC52-07NA27344.
Computational resources for this project were<?pagebreak page4171?> provided by DOE and a
consortium of other government, industry, and foundation sponsors of the
Joint Program. For a complete list of sponsors, see
<uri>http://globalchange.mit.edu</uri>. Additional computing resources were
provided by the Climate Simulation Laboratory at NCAR's Computational and
Information Systems Laboratory (CISL), sponsored by the National Science
Foundation and other agencies. The National Center for Atmospheric Research
is funded by the National Science Foundation. The authors would also like to
thank Daniel Rothenberg for efficient processing of the ozone
files.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Fiona O'Connor <?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Evaluating simplified chemical mechanisms within present-day  simulations of the Community Earth System Model version 1.2 with CAM4 (CESM1.2 CAM-chem): MOZART-4 vs. Reduced Hydrocarbon vs. Super-Fast chemistry</article-title-html>
<abstract-html><p>While state-of-the-art complex chemical mechanisms expand our understanding
of atmospheric chemistry, their sheer size and computational requirements
often limit simulations to short lengths or ensembles to only a few members.
Here we present and compare three 25-year present-day offline simulations
with chemical mechanisms of different levels of complexity using the
Community Earth System Model (CESM) Version 1.2 CAM-chem (CAM4): the Model
for Ozone and Related Chemical Tracers, version 4 (MOZART-4) mechanism, the
Reduced Hydrocarbon mechanism, and the Super-Fast mechanism. We show that,
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between these three mechanisms are smaller than the model–observation
differences themselves. The MOZART-4 mechanism and the Reduced Hydrocarbon
are in close agreement in their representation of ozone throughout the
troposphere during all time periods (annual, seasonal, and diurnal). While
the Super-Fast mechanism tends to have higher simulated ozone variability and
differs from the MOZART-4 mechanism over regions of high biogenic emissions,
it is surprisingly capable of simulating ozone adequately given its
simplicity. We explore the trade-offs between chemical mechanism complexity
and computational cost by identifying regions where the simpler mechanisms
are comparable to the MOZART-4 mechanism and regions where they are not. The
Super-Fast mechanism is 3 times as fast as the MOZART-4 mechanism, which
allows for longer simulations or ensembles with more members that may not be
feasible with the MOZART-4 mechanism given limited computational resources.</p></abstract-html>
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