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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-13-4579-2020</article-id><title-group><article-title>Simulating the forest fire plume dispersion, chemistry, and aerosol
formation using SAM-ASP version 1.0</article-title><alt-title>Simulating the forest fire plume dispersion, chemistry, and aerosol formation</alt-title>
      </title-group><?xmltex \runningtitle{Simulating the forest fire plume dispersion, chemistry, and aerosol formation}?><?xmltex \runningauthor{C.~R.~Lonsdale et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lonsdale</surname><given-names>Chantelle R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Alvarado</surname><given-names>Matthew J.</given-names></name>
          <email>malvarad@aer.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Hodshire</surname><given-names>Anna L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5099-3659</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ramnarine</surname><given-names>Emily</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Pierce</surname><given-names>Jeffrey R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4241-838X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Atmospheric and Environmental Research (AER), Lexington, MA 02421,
USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Atmospheric Science, Colorado State University, Fort
Collins, CO 80523, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Matthew J. Alvarado (malvarad@aer.com)</corresp></author-notes><pub-date><day>28</day><month>September</month><year>2020</year></pub-date>
      
      <volume>13</volume>
      <issue>9</issue>
      <fpage>4579</fpage><lpage>4593</lpage>
      <history>
        <date date-type="received"><day>6</day><month>August</month><year>2019</year></date>
           <date date-type="rev-request"><day>14</day><month>August</month><year>2019</year></date>
           <date date-type="rev-recd"><day>11</day><month>June</month><year>2020</year></date>
           <date date-type="accepted"><day>31</day><month>July</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Chantelle R. Lonsdale et al.</copyright-statement>
        <copyright-year>2020</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020.html">This article is available from https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e123">Biomass burning is a major source of trace gases and
aerosols that can ultimately impact health, air quality, and climate.
Global and regional-scale three-dimensional Eulerian chemical transport
models (CTMs) use estimates of the primary emissions from fires and can
unphysically mix them across large-scale grid boxes, leading to incorrect
estimates of the impact of biomass burning events. On the other hand,
plume-scale process models allow for explicit simulation and examination of
the chemical and physical transformations of trace gases and aerosols within
biomass burning smoke plumes, and they may be used to develop
parameterizations of this aging process for coarser grid-scale models. Here
we describe the coupled SAM-ASP plume-scale process model, which consists of
coupling the large-eddy simulation model, the System for Atmospheric
Modelling (SAM), with the detailed gas and aerosol chemistry model, the
Aerosol Simulation Program (ASP). We find that the SAM-ASP version 1.0 model
is able to correctly simulate the dilution of CO in a California chaparral
smoke plume, as well as the chemical loss of <inline-formula><mml:math id="M1" 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>, HONO, and <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
within the plume, the formation of PAN and <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the loss of OA, and the
change in the size distribution of aerosols as compared to measurements and
previous single-box model results. The newly coupled model is able to
capture the cross-plume vertical and horizontal concentration gradients as
the fire plume evolves downwind of the emission source. The integration and
evaluation of SAM-ASP version 1.0 presented here will support the
development of parameterizations of near-source biomass burning chemistry
that can be used to more accurately simulate biomass burning chemical and
physical transformations of trace
gases and aerosols within coarser grid-scale CTMs.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <?pagebreak page4580?><p id="d1e168">Outdoor biomass burning – including wildfires, prescribed fires, and
agricultural fires – is a major source of trace gases and aerosols that
impact health, air quality, and climate. These health- and climate-relevant
primary emissions from biomass burning include species deemed as hazardous
air pollutants (HAPs), such as benzene, formaldehyde, and acetaldehyde,
which themselves can cause acute health effects (Wentworth et al., 2018). In
addition to the pollutants directly emitted by fires, chemistry in smoke
plumes can produce ozone (<inline-formula><mml:math id="M4" 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>), which can negatively impact human health
(U.S. EPA, 2013) as well as affect vegetation, water quality, soil, and the
ecosystems that they support (European Environmental Agency, 2018). <inline-formula><mml:math id="M5" 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>
formation can occur due to the emission of nitrogen dioxide (<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>),
HONO, and volatile organic compounds (VOCs) and the presence of sunlight (Baylon
et al., 2018), with enhanced photolysis rates occurring most predominantly
during midday, when photolysis rates are fastest. In 2012, the estimated
median contribution of fires to maximum daily 8 h average (MDA8) <inline-formula><mml:math id="M7" 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> in
Texas during the month of June was 2 ppbv, with maximum impacts of over 40 ppbv (McDonald-Buller et al., 2015). The long-range transport of fire emissions
has also been found to contribute to elevated peak <inline-formula><mml:math id="M8" 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 in Europe
(Ordóñez et al., 2010). Large uncertainties exist, however, in quantifying
<inline-formula><mml:math id="M9" 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> production, which stems from uncertainties in fire emissions,
combustion efficiency, meteorological patterns, chemical and photochemical
reactions, and the effects of aerosols on plume chemistry and photolysis
rates. Aerosols have been shown to both increase <inline-formula><mml:math id="M10" 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> formation (e.g.,
scattering particles can increase photolysis rates) as well as decrease
<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> (absorbing aerosol and black carbon-containing aerosol can reduce
photolysis rates) (Baylon et al., 2018). Hence, the aerosol composition and
size distribution, which varies within and between plumes (Collier et al.,
2016), and the location of the aerosol within the plume (Alvarado et al.,
2015) impact <inline-formula><mml:math id="M12" 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> production. The presence of clouds also impacts
photolysis rates and <inline-formula><mml:math id="M13" 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> production (Flynn et al., 2010). All of these
factors remain highly variable and uncertain between different plumes.</p>
      <p id="d1e282">Biomass burning also emits particulate matter (PM) that impacts air quality,
health, and climate. PM impacts the climate directly by scattering or
absorbing incoming solar radiation (e.g., Boucher et al., 2013) and
indirectly by altering the properties of clouds (e.g., Pierce et al., 2007;
Spracklen et al., 2011) with both effects depending on the particle size,
mass, and composition (Petters and Kreidenweis, 2007; Seinfeld and Pandis,
2016). Bond et al. (2013) estimated that biomass burning emits about one-third of total global primary carbonaceous aerosol emissions (black carbon
(BC) and organic aerosol (OA), with the size, mixing state, and chemical
composition of the particles uncertain. A complex evolution of various
organic trace gas and aerosol compounds occurs as smoke ages, with all
compounds containing a wide variety of volatility and reactivity that
determine the ultimate partitioning into the gas or particle state, thus
determining the size, mixing state, and ultimately chemical composition of
the evolving plume. Hodshire et al. (2019a) reviewed the wide-ranging
results from laboratory and field studies of smoke plume aging, which show
that measured net OA production or loss is dependent on the fuel and burning
conditions, plume dispersion rates, and oxidant species and concentrations;
however, no complete theory currently exists that can predict how OA will
evolve in different plumes. Further understanding of the magnitude and
extent of both the primary and secondary components of biomass burning
emissions is thus required to fully understand the global impacts.</p>
      <p id="d1e285">Over the last few decades, air quality regulations have resulted in a
decrease in PM concentrations in the United States, as PM<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is a
regulated pollutant under the Clean Air Act National Ambient Air Quality Standards (NAAQS). McClure and Jaffe (2018),
however, analyzed PM<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> measurements made at IMPROVE sites and found a
positive trend in the 98th quantile of PM<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in the northwest and a
negative trend in the rest of the US, attributing the increase to wildfires
in the northwest, similar to positive trends in MODIS aerosol optical depth (AOD). They determined
that wildfires are causing the increase in PM<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> at the 98th quantile
in the northwest, which could offset anthropogenic reductions in the region.
O'Dell et al. (2019) and Knorr et al. (2017) combined surface observations
and satellite-based smoke plume estimates and the GEOS-Chem chemical
transport model (CTM) to identify trends in summertime smoke, non-smoke, and
total PM<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> across the US. They estimated that future PM emissions
from biomass burning may exceed anthropogenic emission levels, including in
densely populated areas in the eastern Europe–Russia–central-Asia region.
The growing relative importance of biomass burning as a source of pollution
increases the need to understand in-plume chemistry and physics.</p>
      <p id="d1e333">Three-dimensional (3D) Eulerian CTMs take estimates of the primary emissions
from fires and unphysically mix them across large-scale grid boxes, which
can lead to incorrect estimates of the ultimate impact of fires on health,
air quality, and climate (e.g., Alvarado et al., 2009; Sakamoto et al.,
2016; Ramnarine et al., 2019; Hodshire et al., 2019b). Thus, in order to
accurately predict biomass burning effects on air quality and climate in
regional and global models, a sub-grid-scale representation of aged biomass burning trace gas and aerosol evolution is required. Regarding the impact of
coarse-model mixing on <inline-formula><mml:math id="M19" 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>, Baker (2015) found that the 3D
Eulerian Community Multiscale Air Quality Model (CMAQ) tended to
overestimate the impact of fires on individual hourly <inline-formula><mml:math id="M20" 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> measurements
at US Environmental Protection Agency (EPA) Clean Air Status Trends Network
(CASTNET) monitoring sites near fires by up to 40 ppbv and underestimate it
further downwind by up to 20 ppbv. This behavior is consistent with an
incorrect treatment of the sub-grid-scale, near-source <inline-formula><mml:math id="M21" 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 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
chemistry, where the model underestimates the loss of
<inline-formula><mml:math id="M23" 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="M24" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) near the source due to the formation of inorganic and
organic nitrates, thus overestimating <inline-formula><mml:math id="M25" 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> formation near the source.
This same error leads to an underestimate of the amount of peroxy nitrates
formed near the source, which then leads to an underestimate of <inline-formula><mml:math id="M26" 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>
formation downwind when the peroxy nitrates decompose, regenerating <inline-formula><mml:math id="M27" 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>
(Alvarado et al., 2010).</p>
      <p id="d1e443">Similarly, the unphysical mixing of biomass burning emissions into
large-scale grid boxes can lead to incorrect estimates of OA concentrations
and the aerosol size distribution (e.g., Alvarado et al., 2009; Sakamoto et
al., 2016; Bian et al., 2017; Hodshire et al., 2019b; Konovalov et al.,
2019). The net change in OA mass in a smoke plume as it dilutes and ages is
determined from the balance between initial emissions, secondary organic
aerosol (SOA) production, and evaporation of both primary organic aerosol
(POA) and SOA (Bian et al., 2017; Hodshire et al., 2019b). Unphysically
diluting biomass burning emissions leads to unphysical evaporation of the
POA and reduces the rates of chemical SOA formation and more of the formed SOA
remaining in the gas phase in the 3D Eulerian CTMs. Similarly, the unphysical
dilution reduces the aerosol number concentration, reducing coagulation
rates, while the more diluted smoke will not reach the high concentrations
needed to nucleate new particles. As the evolution of the aerosol size
distribution in smoke plumes is primarily controlled by OA mass changes,
coagulation, and nucleation, 3D Eulerian CTMs will have difficulty
accurately simulation the aerosol size distribution changes without
parameterizing these sub-grid-scale processes.</p>
      <p id="d1e446">The initial aerosol size, number, and mass in biomass burning smoke plumes
can vary with fuel type (Janhäll et al.,<?pagebreak page4581?> 2010) (e.g.,
Boreal versus Savannah) and combustion condition (Hosseini et al., 2010) and
are leading uncertainties in the predictions of PM in regional and global
models (Lee et al., 2013). These inputs are often based on spatially sparse,
point measurements taken at only one stage in the atmospheric lifetime of a
biomass burning plume with some measurements representing fresh emissions
and some representing aged emissions (Pierce et al., 2007;
Janhäll et al., 2010; Akagi et al., 2011; Hodshire et
al., 2019a). These sparse inputs do not account for many of the non-linear
physical and chemical changes that take place within a smoke plume near the
fire, with the coarse grid scales of regional and global models (tens to hundreds
of kilometers) too large to resolve near-source smoke plume chemical and
physical evolution. By accounting for sub-grid aerosol processes that occur
in biomass burning plumes, such as coagulation and condensation or evaporation
of organic species, the biomass burning impact on aerosol number
concentration and size distribution can be better simulated (Ramnarine et
al., 2019). In order to resolve aerosol processes in biomass burning plumes,
regional and global models thus require grid-scale-appropriate, aged aerosol
emissions size distributions to accurately simulate the health and climate
effects of biomass burning aerosols in global and regional atmospheric
models. Additionally, in order to better characterize the chemical processes
in biomass burning plumes, an improved understanding of the oxidant and radical
concentrations, photolysis rates, and parameterizations of reaction rates
for different classifications of smoke is needed (Hodshire et al., 2019a).</p>
      <p id="d1e449">Several types of models have been used to simulate the dispersion and
transport of smoke plumes, including box models, Gaussian plume models,
Lagrangian puff and particle dispersion models (e.g., CALPUFF, SCIPUFF,
HYSPLIT, FLEXPART), and 3D Eulerian models (e.g., Goodrick et al., 2013, and
the references therein). A smaller number of models have included the gas
(e.g., Mason et al., 2001) and aerosol (e.g., Trentmann et al., 2003)
chemistry of these plumes, and a smaller number still have tried to predict
how the aerosol size distribution changes within the smoke plume (e.g.,
Sakamoto et al., 2016; Hodshire et al., 2019b). As an initial attempt to
represent sub-grid plume chemistry and physics in coarse-grid models,
Lonsdale et al. (2015) developed a parameterization of trace gas and aerosol
formation in biomass burning plumes using the Aerosol Simulation Program
(ASP; Alvarado et al., 2015) as a box model. ASP simulates the gas-phase,
aerosol-phase, and heterogeneous chemistry of young biomass burning smoke
plumes, including the formation of <inline-formula><mml:math id="M28" 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 secondary inorganic and
organic aerosol. The ASP box model parameterization included predicted
normalized excess mixing ratios (NEMRs; Akagi et al., 2011) of <inline-formula><mml:math id="M29" 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="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, PAN, and other trace gases and aerosol species in terms of the
fuel type, temperature, latitude, day of year, and starting hour of fire
emission. Separate parameterizations were built for each fuel type, which
included savannah, tropical forest, temperate forest, and boreal forest.
McDonald-Buller et al. (2015) used a subset of this ASP-based
parameterization to adjust the chemistry of biomass burning in the
Comprehensive Air Quality Model with Extensions (CAMx) and found that this
approach reduced the median impact of biomass burning on MDA8 <inline-formula><mml:math id="M31" 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> in
Texas by 0.3 ppbv or 15 %. However, because the parameterization was fit
to the ASP box model, it did not include cross-plume gradients in trace gas
and aerosol concentrations, which may be important for accurately simulating
non-linear chemistry and partitioning (Garofalo et al., 2019; Hodshire et
al., 2019b; Bian et al., 2017). To account for non-linear cross-plume
dilution effects, Sakamoto et al. (2016) used the large-eddy simulation
(LES) cloud-resolving model, the System for Atmospheric Modelling (SAM;
Khairoutdinov and Randall, 2003; Stevens et al., 2012), coupled with the TwO
Moment Aerosol Sectional (TOMAS) microphysics module to parameterize the
coagulation of aerosols in biomass burning plumes (Sakamoto et al., 2015,
2016). This parameterization was used in Ramnarine et al. (2019) to
investigate the impact of sub-grid coagulation on radiative forcing.
However, while the SAM-TOMAS model used by Sakamoto et al. (2016) resolved
plume gradients, their study did not include chemistry and phase partition.
There remains a need for a modeling system that resolves plume gradients
while simulating the chemical and physical processes relevant for air
quality and climate.</p>
      <p id="d1e496">To address the need for a dispersion-resolving model with online chemistry,
partitioning, and microphysics that can help answer the biomass burning
questions described above, we have developed an integrated model of ASP
(Sect. 2.1) coupled with the SAM model (Sect. 2.2). We have evaluated
the performance of the new model, SAM-ASP v1.0 described in Sect. 2.3, in
simulating the measurements of CO, <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>, <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and aerosols for the
Williams fire in California (Sects. 3 and 4). This integrated model is
able to simulate both the detailed chemistry and the horizontal and
vertical dispersion affecting the near-source evolution of biomass burning
gas and aerosol chemistry and physics. Model code and inputs are publicly
available as described in Sect. 6.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>SAM-ASP 2D Lagrangian model</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Aerosol Simulation Program v2.1</title>
      <p id="d1e536">ASP (Alvarado, 2008; Alvarado and Prinn, 2009; Alvarado et al., 2009, 2015,
2016) is a Fortran model that reads in the parameters for the chemical
mechanism, aerosol thermodynamics, and other inputs from heavily documented
ASCII files. Reading these inputs from ASCII files makes the model highly
flexible. These files are read once at the beginning of the simulation and
the results are stored in memory to increase computational speed. ASP v2.1
is coded as a box model with options for a plume-like configuration (with
parameterized dilution) or a smog-chamber configuration and<?pagebreak page4582?> can be called
as a subroutine within larger models (e.g., Alvarado et al., 2009) when the
appropriate input flags are set.</p>
      <p id="d1e539">ASP uses a sectional aerosol size distribution representation (with the
number of size bins adjustable at runtime) and includes modules to calculate
aerosol thermodynamics, gas-to-aerosol mass transfer
(condensation or evaporation), coagulation of aerosol particles, and aerosol
optical properties. ASP has been extensively used to study the chemical and
physical transformations of gases and particles within young biomass burning
smoke plumes (less than 24 h) (Alvarado and Prinn, 2009; Alvarado et
al., 2009, 2010, 2015) and the optical properties of smoke aerosol (Alvarado
and Prinn, 2009; Alvarado et al., 2009, 2015, 2016). For example, Alvarado
and Prinn (2009) used ASP v1.0 to investigate the aging of biomass burning
aerosol from African savannah fires sampled during the SAFARI-2000 campaign
(Hobbs et al., 2003). ASP v1.0 simulated the growth of the aerosol size
distributions in this smoke plume and showed that coagulation only had a
minor impact on the biomass burning aerosol growth in the first hour after
emission. They also showed that the aerosol single-scattering albedo
increased in the first hour of aging from 0.87 to 0.90 and that the change in total aerosol light scattering with humidification decreased with aging,
consistent with SAFARI-2000 studies of Magi and Hobbs (2003) and Reid et al. (2005). Alvarado et al. (2015) evaluated ASP v2.1 simulations for a fire in
California (Williams fire; Akagi et al., 2012) and showed that ASP could
accurately simulate most of the observed species (e.g., OA, <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">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, OH) using reasonable assumptions about the chemistry of the
unidentified organic compounds. This method provides a chemically realistic
way for determining the average chemistry of the thousands of organic
compounds in the smoke plume, where an approach based on attempting to
simulate the oxidation chemistry of each of these compounds would be
computationally intractable even if all the parameters were known. The
modules of the latest version of the ASP model (ASP v2.1; Alvarado et al.,
2015, 2016) used in SAM-ASP v1.0 are briefly described below.</p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Gas-phase chemistry</title>
      <p id="d1e571">The gas-phase chemistry within ASP v2.1 is described in detail in Alvarado
et al. (2015). The chemical mechanism is integrated using a Gear-algorithm
type solver. The ASP v2.1 gas-phase chemical mechanism includes 1608
reactions between 621 species. All gas-phase chemistry for organic compounds
containing four carbons or less has been “unlumped,” i.e., the chemistry for
each individual organic compound is explicitly resolved. This was done by
following the reactions of the Leeds Master Chemical Mechanism (MCM) v3.2
(<uri>http://mcm.leeds.ac.uk/MCM/</uri>, last access: June 2012; Jenkin et
al., 1997, 2003; Saunders et al., 2003; Bloss et al., 2005) for these
species. The chemical mechanism of isoprene within ASP v2.1 follows the
Paulot et al. (2009a, b) isoprene scheme, as implemented in GEOS-Chem and
including corrections based on more recent studies (e.g., Crounse et al.,
2011, 2012). The (lumped) chemistry for all other organic compounds in ASP
v2.1 follows the Regional Atmospheric Chemistry Mechanism (RACM) v2 (Goliff
et al., 2013).</p>
      <?pagebreak page4583?><p id="d1e577">Like most organic compounds, semi-volatile organic compounds (SVOCs) will
react with OH. Most mechanisms for this chemistry (e.g., Dzepina et al.,
2009) parameterize this chemistry by assuming that the SVOCs react with OH
to form a lower-volatility SVOC, as in the reaction

              <disp-formula id="Ch1.R1" content-type="numbered reaction"><label>R1</label><mml:math id="M36" display="block"><mml:mrow><mml:msub><mml:mtext>SVOC</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mover><mml:mo movablelimits="false">⟶</mml:mo><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:mover><mml:mi mathvariant="italic">μ</mml:mi><mml:msub><mml:mtext>SVOC</mml:mtext><mml:mrow><mml:mi>i</mml:mi><mml:mo>-</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> is the relative mass gain due to oxidation (e.g., via O
addition), <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the reaction rate with OH, and <inline-formula><mml:math id="M39" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the “volatility
shift” or by how many factors of 10 to lower the <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> of the product with each
OH reaction. This simplified chemistry can be extended to account for the
fact that the SVOCs could fragment during oxidation, leading to higher-volatility products:
              <disp-formula id="Ch1.R2" content-type="numbered reaction"><label>R2</label><mml:math id="M41" display="block"><mml:mrow><mml:mtable class="split" columnspacing="1em" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mtext>SVOC</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mover><mml:mo movablelimits="false">⟶</mml:mo><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:mover></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mtext>SVOC</mml:mtext><mml:mrow><mml:mi>i</mml:mi><mml:mo>-</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="italic">α</mml:mi><mml:msub><mml:mtext>SVOC</mml:mtext><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:msub><mml:mtext>VOC</mml:mtext><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is the fraction of SVOC<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula> that fragments into
SVOC<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and VOC<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mi>j</mml:mi></mml:msub></mml:math></inline-formula>. Shrivastava et al. (2013) used a similar
approach to show that adding SVOC fragmentation to WRF-Chem simulations of
the Mexico City Plateau improved the model's ability to simulate the
observed concentrations of SOA. However, the highly simplified chemistry of
Reactions (R1) or (R2) is not appropriate for situations where reactions with
the SVOC compounds are a potentially significant sink of OH, such as in a
concentrated smoke plume. Thus in ASP v2.1, the average, lumped chemistry of
the SVOCs is instead parameterized in a more realistic manner for a generic
organic species, following the idea of “mechanistic reactivity” (e.g.,
Seinfeld and Pandis, 2016). After reaction with OH SVOCs produce peroxy
radicals (<inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), which can react with NO to form <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M48" 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>,
thereby regenerating OH and forming <inline-formula><mml:math id="M49" 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>. Reactions (R3) and (R4) show this
more general chemical mechanism for the SVOCs:

                  <disp-formula specific-use="gather" content-type="numbered reaction"><mml:math id="M50" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R3"><mml:mtd><mml:mtext>R3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mtext>SVOC</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mover><mml:mo movablelimits="false">⟶</mml:mo><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:mover><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R4"><mml:mtd><mml:mtext>R4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" columnspacing="1em" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">χ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mover><mml:mo movablelimits="false">⟶</mml:mo><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mover></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mtext>SVOC</mml:mtext><mml:mrow><mml:mi>i</mml:mi><mml:mo>-</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="italic">α</mml:mi><mml:msub><mml:mtext>SVOC</mml:mtext><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:msub><mml:mtext>VOC</mml:mtext><mml:mi>j</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><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:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where
<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
is assumed to be <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">molecule</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> based on the reaction rate for the peroxy radicals from long-chain
alkanes and alkenes with NO in RACM2 (Goliff et al., 2013). We can see that
<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:math></inline-formula> is the number of <inline-formula><mml:math id="M55" 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> lost (implicitly via the addition
of a nitrate group to the product SVOCs), <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi></mml:mrow></mml:math></inline-formula> is the number of
<inline-formula><mml:math id="M57" 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> lost, and <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi></mml:mrow></mml:math></inline-formula> is the number of <inline-formula><mml:math id="M59" 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> made per
reaction (by subsequent reactions of <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M61" 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> to generate
<inline-formula><mml:math id="M62" 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 example, the values for long-chain alkanes (HC8) in the
RACM<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mechanism (Goliff et al., 2013) would be <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.74</mml:mn></mml:mrow></mml:math></inline-formula>, such that 0.26 <inline-formula><mml:math id="M67" 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 0.37 <inline-formula><mml:math id="M68" 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> are lost and 1.37
<inline-formula><mml:math id="M69" 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 formed per reaction. Note that the mechanism of Reactions (R3) and
(R4) is still highly simplified: we assume that reaction of SVOC with OH
always produces an <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical and that the <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> produced does not
react with <inline-formula><mml:math id="M72" 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> or another <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Also note that Reactions (R3) and (R4)
represent the average chemistry of the unknown species collectively and may
not apply to any individual species in that mixture. Based on the results of
Alvarado et al. (2015), we used an OH reaction rate of <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">molecule</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for Reaction (R3), and values of
<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.075</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> as the defaults in ASP v2.1.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Aerosol size distribution, thermodynamics, and gas-particle mass transfer</title>
      <p id="d1e1407">The aerosol size distribution in ASP is represented using a moving-center
sectional approach (Jacobson, 2002). The current ASP SOA formation module is
the semi-empirical Volatility Basis Set (VBS) model of Robinson et al. (2007) linked to the RACM2 chemical mechanism following the approach of
Ahmadov et al. (2012), with the semi-volatile and intermediate-volatility
organic compound (S/IVOC) chemistry expanded and optimized for biomass
burning following the results of Alvarado et al. (2015), with the saturation
concentration, <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, ranging from <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at
300 K with nine bins in total.</p>
      <p id="d1e1473">Equilibrium concentrations both within the aerosol phase and between the gas
and aerosol phase are calculated using the mass flux iteration (MFI) method
to solve for the gas- and aerosol-phase concentrations at equilibrium for a
given reaction (Sect. 17.11 of Jacobson, 2005). Mass transfer between the
gas and aerosol phases is calculated in ASP using a hybrid scheme, where the
condensation of <inline-formula><mml:math id="M86" 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">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> follows the flux-limited condensation
equations, while the kinetic condensation or evaporation of organic species are
calculated using a Gear algorithm (due to the stiff nature or kinetic OA
partitioning across volatilities and particle sizes). However, <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M88" display="inline"><mml: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>, and HCl are assumed to be in equilibrium (Alvarado and Prinn,
2009). Aerosol coagulation is calculated using a semi-implicit scheme
(Jacobson, 2005) with a Brownian coagulation kernel.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Aerosol optical properties</title>
      <p id="d1e1523">ASP v2.1 (Alvarado et al., 2015, 2016) uses spectrally varying complex
refractive indices for all aerosol components based on Hess et al. (1998).
The refractive index of the inorganic aqueous solution (if present) is
calculated using the molar refraction approach of Tang (1997). ASP v2.1
includes four BC mixing-rule options for the calculating absorption and
scattering coefficients: (1) a volume-average dielectric constant mixing
rule with BC internally mixed with other species; (2) a core-shell mixing
rule, where a spherical, internally mixed BC core is surrounded by a
spherical shell of all other aerosol components; (3) the Maxwell Garnett
mixing rule (Maxwell Garnett, 1904) with BC internally mixed with other
species; and (4) an external mixture of BC and the other aerosol components.
Mie calculations of aerosol optical properties for each bin of the size
distribution are performed within ASP using the publicly available program
DMiLay, which is based on the work of Toon and Ackerman (1981). Only the
core-shell parameters were used in this study.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>SAM</title>
      <p id="d1e1535">The SAM v6.10.10 model is a Fortran code that has been used to study
aerosol–cloud–precipitation interactions in stratiform and convective clouds
(Ovchinnikov et al., 2014; Fan et al., 2009). The standard SAM model
(Khairoutdinov and Randall, 2003,
<uri>http://rossby.msrc.sunysb.edu/~marat/SAM.html</uri>, last access: 23 September 2020) includes
different options of detailed cloud microphysics, as well as coupled
radiation and land-surface models. SAM is able to resolve boundary layer
eddies, while parameterizing smaller-scale turbulence and microphysics for
the LES (vs. cloud-resolving) model option. The dynamical framework of the
model is based on the LES model of
Khairoutdinov and Kogan (1999). Besides using the anelastic equations of
motion in place of the Boussinesq equations of the LES version, SAM uses a
different set of prognostic thermodynamic variables and employs a different
microphysics scheme. The computer code was designed to run efficiently on
parallel computers using the Message Passing Interface (MPI) protocol. The
detailed description of the model equations is given in Appendix A of Khairoutdinov and Randall (2003).</p>
      <p id="d1e1541">The prognostic thermodynamical variables of the model are the liquid
water or ice moist static energy, total non-precipitating water (vapor <inline-formula><mml:math id="M89" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> cloud
water <inline-formula><mml:math id="M90" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> cloud ice), and total precipitating water (rain <inline-formula><mml:math id="M91" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> snow <inline-formula><mml:math id="M92" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> graupel). The liquid water or ice moist static energy is, by definition,
conserved during the moist adiabatic processes including the
freezing or melting of precipitation. The cloud condensate (cloud water <inline-formula><mml:math id="M93" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> cloud ice) is diagnosed using the so-called “all-or-nothing” approach, so
that no supersaturation of water vapor is allowed. Despite being called a
non-precipitating water substance, the cloud ice is actually allowed to have
a non-negligible terminal velocity. The partitioning of the diagnosed cloud
condensate and the total precipitating water into the hydrometeor mixing
ratios is done on every time step as a function of temperature. The
diagnosed hydrometeor mixing ratios are then used to compute the water
sedimentation and hydrometeor conversion rates.</p>
      <p id="d1e1579">The finite-difference representation of the model equations uses a fully
staggered Arakawa C-type grid with stretched vertical and uniform horizontal
grids. The advection of momentum is computed with the second-order finite
differences<?pagebreak page4584?> in the flux form with kinetic energy conservation. The equations
of motion are integrated using the third-order Adams–Bashforth scheme with
a variable time step. All prognostic scalars, including the chemical tracers
of ASP v2.1, are advected using a fully three-dimensional positive definite
and monotonic scheme of Smolarkiewicz and Grabowski (1990). The
subgrid-scale model employs the so-called 1.5-order closure based on a
prognostic subgrid-scale turbulent kinetic energy. The model uses periodic
lateral boundaries and a rigid lid at the top of the domain. To reduce
gravity wave reflection and buildup, the Newtonian damping is applied to all
prognostic variables in the upper third of the model domain. The surface
fluxes are computed using Monin–Obukhov similarity. SAM can be driven by
reanalysis data that include large-scale forcings, initial sounding
profile, radiation heating rates, and surface fluxes. SAM has the ability to
add a large amount of modeled tracer species to the cloud-resolving model
simulation but does not contain aerosol and chemistry packages.</p>
      <p id="d1e1582">The SAM model is flexible with different choices for advection scheme,
turbulence parameterization, radiation, and cloud microphysics. The
configuration used in SAM-ASP v2.1 includes the use of a positive definite
monotonic advection scheme with a non-oscillatory option, the 1.5-order turbulent kinetic energy (TKE) closure for sub-grid-scale turbulence, the microphysics scheme of Morrison
et al. (2005), and the CAM radiation code.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Model coupling</title>
      <p id="d1e1593">We coupled ASP v2.1 to the SAM v6.10.10 model to resolve dispersing biomass
burning plumes with detailed chemistry and aerosol physics. The resulting
Fortran code uses all of the same numerical solvers as the individual ASP
and SAM models, which are discussed above. The SAM model has previously
been coupled with the TOMAS microphysics module to reproduce observed
dispersion and new particle formation in coal-fired power-plant plumes
(Lonsdale et al., 2012; Stevens et al., 2012) and to study the coagulation
of aerosols in biomass burning plumes (Sakamoto et al., 2016). The coupling
of SAM-ASP v1.0 was performed similarly to the coupling of SAM and TOMAS
described in Stevens et al. (2012) and the coupling of ASP to the Cloud
Resolving Model (CRM6) described in Alvarado et al. (2009). SAM was updated
to transport over 600 gas-phase chemical species calculated in ASP and the
840 aerosol parameters (number concentrations for each bin and mass
concentrations for each aerosol species in each bin) and to simulate the
emission of the fire smoke by making substantial changes to the tracers.f90
subroutine of SAM. While the number of chemical species and number of size
bins is flexible in ASP v2.1 and read in from ASCII input files, these
values are hard-coded into the coupled SAM-ASP v1.0 model. There is no
coupling of the ASP aerosols with the SAM cloud microphysics scheme in
SAM-ASP v1.0.</p>
      <p id="d1e1596">The tracers.f90 subroutine of SAM was also modified to communicate the solar
zenith angle and initialize gas and aerosol tracer concentrations based on
SAM meteorological parameters. The coupling takes place via a new ASP
subroutine called within tracers.90 in SAM, called SAM_wrapper, which collects the current gas and aerosol concentrations and other
parameters and passes them into ASP via the routines in ASP/StepASP.f90.
StepASP.f90 performs unit conversions, passes the information into the ASP
v2.1 box model, and then calculates the gas-phase chemistry (including
heterogeneous chemistry), aerosol thermodynamics, and aerosol coagulation
using the routines of ASP v2.1 described in Sect. 2.1, which are
documented in Alvarado (2008) and Alvarado et al. (2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e1601">Schematic of the 2D Lagrangian wall configuration of SAM-TOMAS and
SAM-ASP v1.0. Reproduced from Sakamoto et al. (2016).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020-f01.png"/>

        </fig>

      <p id="d1e1611">In this project, SAM was configured as a moving, 2D Lagrangian wall oriented
normal to the mean wind direction in the layer of smoke injection (between
1200 and 1360 m in our example case shown here) as in Fig. 1, reproduced
from Sakamoto et al. (2016). Note that wind shear in the meteorological
dataset used for boundary conditions also impacts the coupled model – the
downwind (<inline-formula><mml:math id="M94" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>) direction is determined once and from then on the dynamics
occur in this 2D plane based on the boundary condition forcing and the model
advection and turbulence schemes. Stevens and Pierce (2014) showed that this
2D model configuration does well in simulating <inline-formula><mml:math id="M95" 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="M96" 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>
dispersion in power-plant plumes as compared to airborne measurements.</p>
      <p id="d1e1643">Photolysis rates are calculated in ASP using offline lookup tables generated
by the Tropospheric Ultraviolet and Visible (TUV) radiation model (Bais et
al., 2003) that depend on solar zenith angle and overhead <inline-formula><mml:math id="M97" 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> columns.
SAM-ASP v1.0 does not currently account for the impact of aerosols on these
photolysis rates. ASP is run as a subroutine in each SAM master time step
(10 s for the simulations here). The SAM model handles all tracer
transport and supplies the temperature, pressure, air density, solar zenith
angle, mass emissions<?pagebreak page4585?> flux, and initial gas concentrations to ASP, while ASP
calculates the gas and aerosol processes within each grid box. SAM-ASP v1.0
currently does not calculate deposition but may be added in the future (the
plume does not contact the ground for the case described in this paper). The
grid boxes in the 2D moving wall have a <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mn mathvariant="normal">500</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">500</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> horizontal resolution
with a 120 km total domain width (and 500 m in the with-wind direction, one
box) and 40 m vertical resolution with a total vertical extent of 3 km. The
simulation here was spun up for 1800 s prior to emissions following Stevens
and Pierce (2014). The resolution and time steps described here are flexible
and should be customized depending on plume and meteorological
characteristics.</p>
      <p id="d1e1677">When ASP v2.1 is run as a Lagrangian box model, it needs the initial
concentrations within the plume to be specified. However, as SAM-ASP v1.0
can simulate the dispersion of the smoke horizontally and vertically, we
added the capability to calculate the initial concentrations based on the
mass emissions flux (<inline-formula><mml:math id="M99" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, kg burned <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), emission factors (EFs, g (kg burned)<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and fire area (<inline-formula><mml:math id="M102" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and assumes a square shape)
for biomass burning species (Akagi et al., 2011; Sakamoto et al., 2015). The
formula is

            <disp-formula id="Ch1.E5" content-type="numbered"><label>1</label><mml:math id="M104" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>m</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>M</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mtext>EF</mml:mtext><mml:mi>q</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>A</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>/</mml:mo><mml:mtext>BM</mml:mtext><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>m</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mass mixing ratio (kg <inline-formula><mml:math id="M106" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M107" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>kg air) of species <inline-formula><mml:math id="M108" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula>,
which are the units used in SAM for tracer species, and BM is the mass of air
in the emission box (in kg). This allows SAM-ASP v1.0 to better represent a
wide range of fire sizes and intensities. To reduce computation time, ASP is
only called in the boxes that are impacted by smoke in each SAM time step,
defined as any grid box having a concentration of CO greater than a
user-defined threshold (based on background concentrations determined by
ambient fire measurements, here 150 ppb). The coupled SAM-ASP v1.0 model was
run on 12 processors with 4 GB each, which should be considered the minimum
system requirements.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>SAM-ASP simulations of the Williams chaparral Fire</title>
      <p id="d1e1829">We evaluated the performance of the newly coupled SAM-ASP v1.0 model by
comparing model output to observations of the Williams fire made by Akagi et
al. (2012), which was previously simulated using ASP in a Lagrangian box
model by Alvarado et al. (2015). Emission ratios for this simulation were
based on observed relative background-corrected concentration close to the
source from Alvarado et al. (2015) and included observed values for many
gas-phase species measured by Akagi et al. (2012). Plume injection height
was set to between 1200 and 1400 m, as this was the height at which the plume
was observed to level off, where a small amount of vertical mixing can be
seen as the plume ages.</p>
      <p id="d1e1832">The large-scale meteorological forcing in SAM-ASP v1.0 is driven by the
3 h, 32 km resolution North American Regional 30 Reanalysis (NARR;
Messinger et al., 2006) meteorology dataset. The fire simulated in this study
to evaluate the SAM-ASP v1.0 model was a prescribed fire measured on 17 November 2009 called the Williams fire (Akagi et al., 2012). This fire
covered 81 ha north of Buellton, CA, with the fuel type classified as
chaparral and the vegetation burned consisting of coastal sage scrub and
scrub oak woodland understory. Surface temperatures ranged from 19 <inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
at 09:00 local time to 24 <inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C at 12:20 local time with clear skies
throughout the fire duration. The plume built up gradually during the day
with most of the smoke rising to <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1200</mml:mn></mml:mrow></mml:math></inline-formula>–1336 m above mean sea level
and then drifting in a northeast direction. Two flights were conducted
during the day on board a US Forest Services Twin Otter aircraft to sample
initial emissions and aged smoke with an airborne Fourier transform infrared
spectrometer instrument from the University of Montana taken during both
flights including background measurements sampled at similar altitudes to
in-plume measurements just outside the plume. Trace gas species emission
factors determined as initial emissions (within minutes of the emission
source) by Akagi et al. (2012) are used to initialize ASP and included: <inline-formula><mml:math id="M112" 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>, nitrous acid (HONO), ammonia (<inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), ammonium (<inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>),
nitric oxide (NO), <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M116" 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> (as NO), OA, and peroxy acetyl nitrate
(PAN). Additional emission factors not measured, but needed to initialize
ASP, were included using emission factors from Table 2 of Akagi et al. (2011), with the full list of ASP species provided in the model code
repository described in Sect. 6. Initial aerosol size distribution
information is inferred from the smoke study of Grieshop et al. (2009a, b).
Full details of the fire and measurements are also further described in
Akagi et al. (2012). Model input background concentrations were assumed
based on measurements taken outside of the defined plume. Additional static
inputs required by ASP include a photolysis rate parameterization based on
the time and latitude of the fire and chemical data on aqueous phase ions
and inorganics. Details of the static ASP inputs are further described in
Alvarado (2008).</p>
      <p id="d1e1919">The model used here has 10 size bins with the total number of fire-emitted
particles derived from multiplying the CO flux (based on measured values) by
the ratio of particle number enhancement (number of particles <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) to
CO enhancement (ppb) (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">N</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">23.7</mml:mn></mml:mrow></mml:math></inline-formula> particles <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). We use a number mean diameter of 0.1 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and a standard
deviation of 1.9 based on the wood smoke study of Grieshop et al. (2009a, b).</p>
      <p id="d1e1990">The NEMR calculations were determined by calculating the average species of
interest (X) and CO concentration across the plume, as was done in the
measurements. The NEMR (<inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">X</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">X</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is then calculated relative to CO or <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> since they have
relatively long lifetimes for the fire location, low background variability,
and there were no other major nearby sources as described in Akagi et al. (2012):
          <disp-formula id="Ch1.E6" content-type="numbered"><label>2</label><mml:math id="M124" display="block"><mml:mtable columnspacing="1em" class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">X</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">X</mml:mi><mml:mrow><mml:mi mathvariant="normal">in</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">plume</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">background</mml:mi></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mi mathvariant="normal">in</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">plume</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mi mathvariant="normal">background</mml:mi></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
       <?pagebreak page4586?> Note that, in general, NEMRs are imprecise indicators of chemical changes,
especially for plumes that have traveled far from their original source and
may have mixed with different types of background air; thus, defining a
single background concentration to subtract from the plume concentration is
not a realistic approach (e.g., Yokelson et al., 2013). However, for the
Williams fire, the excess mixing ratios downwind tended to vary slowly in
time and space compared to measurement frequency, and the background value
was computed from the average of a large number of points at the plume
altitude (but outside the plume; Akagi et al., 2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e2120">SAM-ASP Williams fire simulation of cross-plume location versus
time since emission at a vertical height of 1200 m for <inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO. Note
that figure is zoomed in on the plume with white background indicating a
concentration of less than 150 ppb.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020-f02.png"/>

      </fig>

      <p id="d1e2136">Averaged NEMR values over the full horizontal domain of the model for the
vertical level with the peak <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO (and <inline-formula><mml:math id="M127" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) can be used
to compare with aircraft observations of biomass burning plumes. Figure 2
shows a horizontal slice of the simulated <inline-formula><mml:math id="M129" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO concentrations (ppbv)
as the plume moves downwind (bird's eye view at 1200 m above ground). Note that the initial plume was distributed across two horizontal gird boxes (initial
plume width of 1 km) and four vertical grid boxes (initial height from 1200 to 1360 m) and was rectangular. The emissions were distributed proportional
to the density of air in each grid box and initially propagated downward
due to wind shear and diffusion. The dilution of the plume can be seen in
the <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO values as high as 16 000 ppbv between the center of the
plume within the first hour after initial emission to 5 h downwind,
where the plume was modeled to be approximately 100 km wide, with an average
in-plume <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO concentration of approximately 1000 ppbv. Figure 3
shows a vertical slice of (looking into) the plume at 1, 2, and 5 h
downwind for <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO, <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OA</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and these results will be discussed in the following
sections. Note that <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was used to as the NEMR denominator
for OA, as in Akagi et al. (2012) and Alvarado et al. (2015), as in the
field study OA and <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were measured on the same inlet, while CO was
measured on a different inlet. The uncertainty in the Lagrangian age
(horizontal error bars in Fig. 3) was calculated as in Akagi et al. (2012), where the 1<inline-formula><mml:math id="M137" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainty in the average horizontal wind
speeds during the sampling period were propagated through the plume age
calculation, assuming the distance calculation was accurate.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2263">Height vs. cross-plume location at 1 h (left column), 2 h
(center column) and 5 h (right column) downwind of fire source for
<inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO (top row), <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> (ppb/ppb, center row), and <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OA</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (bottom row). Note that figure is zoomed
in on the plume, and white indicates a CO concentration of less than 150 ppb.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020-f03.png"/>

      </fig>

      <p id="d1e2317">For better comparison between the ASP v2.1 box model of Alvarado et al. (2015) and SAM-ASP v1.0, all emission ratios and background concentrations
were made identical in box models. The same gas-phase chemical mechanism,
aerosol thermodynamics routines and parameters, aerosol size distribution
routines and parameters, and other chemical parameters were used. Thus the
key difference between the two models is the treatment of plume dilution and
mixing (with minor differences due to vertical temperature, pressure, and
humidity variations in SAM-ASP v1.0 versus constant parameters used in ASP v2.1). In ASP v2.1, the plume is a single well-mixed box and dilution is
parameterized by assuming a one-way addition of background air to the plume.
As in Mason et al. (2001) we assume a Lagrangian parcel of fixed height
(<inline-formula><mml:math id="M141" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>) and length but variable width <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. This assumes the plume is well-mixed
vertically and capped at the top and bottom by a strong stable layer (or the
surface). The temperature and pressure of the parcel are assumed to be
constant. The effect of plume dispersion on concentrations is then (Mason et
al., 2001; Alvarado, 2008)
          <disp-formula id="Ch1.E7" content-type="numbered"><label>3</label><mml:math id="M143" display="block"><mml:mrow><mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi mathvariant="normal">disp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>y</mml:mi><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>y</mml:mi><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the concentration of species <inline-formula><mml:math id="M145" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> within the parcel
(molecules cm<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is the concentration of species <inline-formula><mml:math id="M148" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> in
the atmosphere outside of the parcel. The form of <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is assumed to be <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msubsup><mml:mi>y</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:msub><mml:mi>K</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:msup><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the initial plume width (Mason et al., 2001). <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
represents the horizontal diffusivity of the atmosphere. The effect of plume
dispersion then becomes
          <disp-formula id="Ch1.E8" content-type="numbered"><label>4</label><mml:math id="M153" display="block"><mml:mrow><mml:msub><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi mathvariant="normal">disp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi>K</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi>y</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:msub><mml:mi>K</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:msup><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msubsup><mml:mi>C</mml:mi><mml:mi>q</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        This equation is used with the observations of the rate of change in excess
CO in the Williams fire plume to derive best fit values for <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>using the
observed value of <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2641">In SAM-ASP v1.0, horizontal and vertical mixing between the boxes of the
Lagrangian wall are calculated as part of the tracer transport routines of
SAM 6.10.10 described in Sect. 2.2 (Khairoutdinov and Randall, 2003). In
addition, unlike the ASP v2.1 box model of Alvarado et al. (2015), plume
gradients are preserved in SAM-ASP v1.0. Thus, the<?pagebreak page4587?> chemistry taking place in
the center of the plume may differ from that in the edges of the plume,
potentially changing the plume-average NEMRs from those calculated with the
well-mixed box assumption in ASP v2.1.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2647">Cross-plume-averaged <inline-formula><mml:math id="M156" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO and <inline-formula><mml:math id="M157" 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>, PAN, <inline-formula><mml:math id="M158" 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>, HONO, and <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NEMRs (<inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">X</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>) as a function of plume age for
the ASP box model (solid line, reproduced from Alvarado et al., 2015) and
SAM-ASP model (dashed line) results compared to measurements from Akagi et
al. (2012) (dots). The horizontal error bars indicate the age uncertainty of
the measurements, while the vertical errors bars are the uncertainty of the
measured value.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020-f04.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Gas-phase simulations</title>
      <p id="d1e2719">The in-plume CO enhancement (<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mrow><mml:mi mathvariant="normal">in</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">plume</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mi mathvariant="normal">background</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, in
ppbv) and NEMRs (Eq. 1) for <inline-formula><mml:math id="M163" 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>, are shown in Figs. 3 and 4. NEMRs for
PAN, <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, HONO and <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are shown in just Fig. 4, where the
average NEMR across SAM-ASP v1.0 grid boxes is calculated where the CO
concentrations are above a background threshold of 150 ppbv (based on
measurements). In Fig. 4, horizontal error bars indicate the age
uncertainty of the measurements, with a best estimate of the starting NEMR
and uncertainty discussed in Akagi et al. (2012), which uses a slope-based
fire-average emission ratio (ER) as a best estimate of the likely starting NEMR for primary
species measured in individual smoke transects. The SAM-ASP v1.0 model was
qualitatively able to simulate the dilution of CO in the smoke plume after 2 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> to within the uncertainties of the measurements but with an
underestimate of dispersion in the first 2 h. As ASP v2.1 currently
uses a fixed function to simulate dilution, we were unable to test how using
the SAM-ASP predicted dilution of CO to ASP v2.1 would alter the box model
results. SAM-ASP v1.0 also correctly simulated the chemical loss of <inline-formula><mml:math id="M167" 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 HONO and the formation of PAN and <inline-formula><mml:math id="M168" 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> within the plume. After 2 h
of model-simulated <inline-formula><mml:math id="M169" 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> (second row in Fig. 3), it can be seen that the
edges of the plume have higher concentrations than the center, a feature
that cannot be represented in a box model simulation. This <inline-formula><mml:math id="M170" 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>
enhancement at the edges may be a result of less NO titration at the plume
edges. We expect larger <inline-formula><mml:math id="M171" 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> edge effects in future work when the TUV
radiation model is coupled online and interacts with plume aerosols.
<inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the model were overestimated (model value of
<inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> of 0.04 ppb ppb<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 5 h, rather than the
measured value of 0.02 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). This is in contrast to the results
of the ASP Lagrangian box model study of Alvarado et al. (2015), where the
box model-simulated <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> closer to measured values at all hours
downwind. The results for this gas are very sensitive to the amount of
sulfate and nitrate formed in the plume, the dilution of the plume as it
affects the volatilization of <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the aerosol, as well as the
relative humidity and temperature, all of which differ slightly between ASP v2.1 and SAM-ASP v1.0, but we have not yet determined which difference is
driving the ammonia discrepancy. The lack of vertical variation in the
SAM-ASP plume<?pagebreak page4588?> in Fig. 3 may be due to the use of photolysis rates that are
not altered by the simulated aerosol scattering and absorption in this
version of SAM-ASP. Thus, while the photolysis rates vary with time, they do
not vary horizontally or vertically, with future work needed to incorporate
in-line, vertically varying photolysis consideration.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e2940">Cross-plume-averaged OA NEMR (<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OA</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) for
the Williams fire from SAM-ASP simulations (dashed line), the ASP box model
results as described in Alvarado et al. (2015) (solid lines), and OA
measurements (back dots) described in Akagi et al. (2012).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Aerosol simulations</title>
      <p id="d1e2976">OA NEMR results from the ASP box model (Alvarado et al., 2015) and
measurements from Akagi et al. (2012) are compared to cross-plume-averaged
SAM-ASP output in Fig. 5. In general, the SAM-ASP results show slightly
slower initial dilution than the box model, with the initial increase in OA
due to the 2D wall staying over the emission area; thus evaporatively driven
decreases have not dominated yet. This difference in dilution rate, and thus
OA NEMR, is due to dilution in the box being forced to match measurements
while in SAM-ASP, the meteorology, and initial plume width determine the
relative dispersion rate (Alvarado et al., 2015). Within the first hour
after emission, SAM-ASP has less dilution than the box model (Figs. 4a and
5), leading to a higher OA concentration, which in turn leads to less
evaporation of OA to intermediate and semi-volatile vapors, explaining the
larger OA NEMR for this initial time period. However, SAM-ASP has greater
dilution than the box model after 2 h (though both falling within
measurement uncertainties in Fig. 4a), which leads to more OA evaporation
in SAM-ASP than in the box model, leading to a lower OA NEMR after 2 h,
better matching the measurements. We note, however, that there are
considerable uncertainties in the volatility distribution of the simulated
POA as well as the SOA chemistry, so there may be multiple ways to improve
modeled OA NEMR. The bottom panels of Fig. 3 show that the OA NEMR in the
model initially decreases faster than the core, driven by dilution. However,
after several hours the OA NEMR at the edges increases, showing that SOA
production in those locations is exceeding evaporation in those locations.
Thus, in both models the initial POA partially evaporates, but this is
balanced by oxidation of the S/IVOCs in the gas phase, which then<?pagebreak page4589?> condense
as SOA. This initial evaporation followed by net SOA production is
consistent with the theoretical studies of Bian et al. (2017) and Hodshire
et al. (2019b); however, those studies did not explore this behavior in the
plume edges versus the core. SAM-ASP will be used in future work to
investigate these plume edge versus core differences within field
observations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e2981">SAM-ASP <bold>(a, b)</bold> and ASP box model <bold>(c)</bold> simulated particle size
distribution (<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>N</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>log⁡</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) evolution within the Williams fire.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/13/4579/2020/gmd-13-4579-2020-f06.png"/>

        </fig>

      <p id="d1e3031">We also compared the predictions for aerosol size distribution changes
between the two models (Fig. 6). Note that as no size distribution
measurements were taken for this fire, we cannot compare these simulations
with observations. Figure 6a shows the average size distribution of the
background air in the SAM-ASP simulation. We again average the SAM-ASP
results across grid boxes where CO concentration are above the CO threshold
(150 ppbv) in each time step. Both models suggest that this fire showed
little net aerosol diameter growth (Fig. 6b, c), as shrinking due to
evaporative losses driven by dilution compensates for growth by coagulation and
the oxidation (and reduction in volatility) of the organic vapors,
consistent with the OA NEMR results above.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e3043">We have described a new coupled model, SAM-ASP v1.0, for simulating the gas
and aerosol chemistry within biomass burning smoke plumes. The model adds
the Aerosol Simulation Program v2.1 (ASP v2.1) as an embedded subroutine
within the System for Atmospheric Modeling v6.10 (SAM v6.10). When
configured as a 2D Lagrangian wall, the newly coupled SAM-ASP model allows
for a detailed examination of the chemical and physical evolution of
fine-scale biomass burning plumes.</p>
      <p id="d1e3046">SAM-ASP is able to simulate the complex, non-linear production of <inline-formula><mml:math id="M181" 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 changes in PM as plumes age. It is able to resolve the cross-plume
chemistry, gas-to-particle partitioning, and microphysics that coarser
grid-scale CTMs are not able to. Model results indicate that SAM-ASP is able to
accurately simulate the dilution of CO in a California chaparral smoke plume
mostly, except for a slight initial underprediction, as well as accurately
predict the chemical loss of <inline-formula><mml:math id="M182" 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 HONO and the production of <inline-formula><mml:math id="M183" 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 PAN
within the plume. SAM-ASP also resolves the cross-plume concentration of
trace gases and aerosol. However, when compared to observations, the
simulation with SAM-ASP did not show any significant differences with
respect to a much simpler box model simulation, potentially because the
photolysis rates within both simulations were identical rather than
allowing the photolysis rates to vary with predicted aerosol concentrations.</p>
      <?pagebreak page4590?><p id="d1e3082">Future work will involve testing SAM-ASP simulations against observed plume
crosswind and vertical gradients as well as size distributions. Future work
will also include the development of a biomass burning parameterization of
plume-scale chemical and physical trace gas and aerosol evolution for use in
coarser grid-scale CTMs (that cannot resolve plumes) as well as the
implementation of on-line photolysis calculations to explicitly simulate the
effect of in-plume aerosols on photolysis rates.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3090">SAM-ASP 1.0 source code is available for download through the SAM website at
<uri>http://rossby.msrc.sunysb.edu/~marat/SAM.html</uri> (last access: 23 September 2020)
through request to the SAM model developer, Marat Khairoutdinov.
Separate ASP model code, model inputs, outputs, and 15 post-processing steps
described in this study are available in a public repository at
<ext-link xlink:href="https://doi.org/10.5281/zenodo.3363995" ext-link-type="DOI">10.5281/zenodo.3363995</ext-link> (Lonsdale, 2019).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3102">CRL provided the design and performed the execution of the model
implementation, simulation, and evaluation of the SAM-ASP code and prepared
this paper. MJA and JRP provided oversight and
leadership of the overall development and acquired the financial support for
the project leading to this publication, as well as contributing to the
review and editing of this paper. ALH and ER
provided verification of the overall reproducibility of model results,
presented complementary published work, and contributed to the review and
editing of this paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3108">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3114">This work was supported by NOAA Atmospheric Chemistry, Carbon Cycle and
Climate Program award nos. NA17OAR4310001, NA17OAR4310002, and
NA17OAR4310009, as well as NSF Atmospheric Chemistry Program grant nos.
1559598 and 1559607 as well as by the State of Texas through the Air
Quality Research Program administered by The University of Texas at Austin
by means of a grant from the Texas Commission on Environmental Quality.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3119">This research has been supported by the AQRP through a grant from the Texas Commission on Environmental Quality (grant no. AQRP 16-024), the NOAA Atmospheric Chemistry, Carbon Cycle and Climate Program (grant nos. NA17OAR430001, NA17OAR4310002, and NA17OAR4310009), and the NSF Atmospheric Chemistry Program Grants (grant nos. 1559598 and 1559607).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3125">This paper was edited by Christoph Knote and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Simulating the forest fire plume dispersion, chemistry, and aerosol formation using SAM-ASP version 1.0</article-title-html>
<abstract-html><p>Biomass burning is a major source of trace gases and
aerosols that can ultimately impact health, air quality, and climate.
Global and regional-scale three-dimensional Eulerian chemical transport
models (CTMs) use estimates of the primary emissions from fires and can
unphysically mix them across large-scale grid boxes, leading to incorrect
estimates of the impact of biomass burning events. On the other hand,
plume-scale process models allow for explicit simulation and examination of
the chemical and physical transformations of trace gases and aerosols within
biomass burning smoke plumes, and they may be used to develop
parameterizations of this aging process for coarser grid-scale models. Here
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Modelling (SAM), with the detailed gas and aerosol chemistry model, the
Aerosol Simulation Program (ASP). We find that the SAM-ASP version 1.0 model
is able to correctly simulate the dilution of CO in a California chaparral
smoke plume, as well as the chemical loss of NO<sub><i>x</i></sub>, HONO, and NH<sub>3</sub>
within the plume, the formation of PAN and O<sub>3</sub>, the loss of OA, and the
change in the size distribution of aerosols as compared to measurements and
previous single-box model results. The newly coupled model is able to
capture the cross-plume vertical and horizontal concentration gradients as
the fire plume evolves downwind of the emission source. The integration and
evaluation of SAM-ASP version 1.0 presented here will support the
development of parameterizations of near-source biomass burning chemistry
that can be used to more accurately simulate biomass burning chemical and
physical transformations of trace
gases and aerosols within coarser grid-scale CTMs.</p></abstract-html>
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