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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" 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-10-2397-2017</article-id><title-group><article-title>CHIMERE-2017: from urban to hemispheric <?xmltex \hack{\break}?>chemistry-transport modeling</article-title>
      </title-group><?xmltex \runningtitle{The urban to hemispheric CHIMERE-2017 chemistry-transport model}?><?xmltex \runningauthor{S. Mailler et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Mailler</surname><given-names>Sylvain</given-names></name>
          <email>sylvain.mailler@lmd.polytechnique.fr</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Menut</surname><given-names>Laurent</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9776-0812</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Khvorostyanov</surname><given-names>Dmitry</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Valari</surname><given-names>Myrto</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Couvidat</surname><given-names>Florian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Siour</surname><given-names>Guillaume</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Turquety</surname><given-names>Solène</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Briant</surname><given-names>Régis</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tuccella</surname><given-names>Paolo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Bessagnet</surname><given-names>Bertrand</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Colette</surname><given-names>Augustin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Létinois</surname><given-names>Laurent</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Markakis</surname><given-names>Kostantinos</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Meleux</surname><given-names>Frédérik</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>LMD/IPSL, École Polytechnique, Université Paris Saclay, ENS, PSL
Research University; Sorbonne Universités, <?xmltex \hack{\break}?>UPMC Univ Paris 06, CNRS, Palaiseau, France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>École des Ponts ParisTech, Université Paris-Est, 77455 Champs-sur-Marne, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>INERIS, National Institute for Industrial Environment and Risks, Parc Technologique
ALATA,<?xmltex \hack{\break}?> 60550 Verneuil-en-Halatte, France</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Laboratoire Interuniversitaire des Systèmes Atmosphériques (LISA), UMR CNRS 7583,
Université Paris Est Créteil et Université Paris Diderot, Institut Pierre Simon Laplace, Créteil, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Sylvain Mailler (sylvain.mailler@lmd.polytechnique.fr)</corresp></author-notes><pub-date><day>28</day><month>June</month><year>2017</year></pub-date>
      
      <volume>10</volume>
      <issue>6</issue>
      <fpage>2397</fpage><lpage>2423</lpage>
      <history>
        <date date-type="received"><day>20</day><month>July</month><year>2016</year></date>
           <date date-type="rev-request"><day>7</day><month>September</month><year>2016</year></date>
           <date date-type="rev-recd"><day>15</day><month>May</month><year>2017</year></date>
           <date date-type="accepted"><day>18</day><month>May</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017.html">This article is available from https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017.html</self-uri>
<self-uri xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017.pdf</self-uri>


      <abstract>
    <p>CHIMERE is a chemistry-transport model designed for regional atmospheric
composition. It can be used at a variety of scales from local to continental
domains. However, due to the model design and its historical use as a
regional model, major limitations had remained, hampering its use at
hemispheric scale, due to the coordinate system used for transport as well as
to missing processes that are important in regions outside Europe. Most of
these limitations have been removed in the CHIMERE-2017 version, allowing its
use in any region of the world and at any scale, from the scale of a single
urban area up to hemispheric scale, with or without polar regions included.
Other important improvements have been made in the treatment of the physical
processes affecting aerosols and the emissions of mineral dust. From a
computational point of view, the parallelization strategy of the model has
also been updated in order to improve model numerical performance and reduce
the code complexity. The present article describes all these changes.
Statistical scores for a model simulation over continental Europe are
presented, and a simulation of the circumpolar transport of volcanic ash
plume from the Puyehue volcanic eruption in June 2011 in Chile provides a
test case for the new model version at hemispheric scale.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Deterministic chemistry-transport modeling is now widely used for the
analysis of pollution events, scenarios and forecast <xref ref-type="bibr" rid="bib1.bibx72" id="paren.1"/>.
Numerous models exist and are used from local to global scale, both for
gaseous and aerosols modeling (<xref ref-type="bibr" rid="bib1.bibx90 bib1.bibx42" id="altparen.2"/>, among many
others). While models were previously dedicated mainly to specific processes,
the latest generation of chemistry-transport models (CTMs) aims at
representing the complete set of processes leading to changes in the
atmospheric composition in terms of aerosols and trace gases. For regional
air quality in the troposphere, several CTMs are currently developed and are
able to include all types of emissions: anthropogenic, biogenic, mineral
dust, sea salt, vegetation fires and volcanos. Even though all these emission
processes are now included in many CTMs, the emitted species have different
chemistry and lifetimes, and models often address some specific applications
and thus specific spatial areas. This was the case of the CHIMERE model,
extensively described in <xref ref-type="bibr" rid="bib1.bibx65" id="text.3"/> for its 2013 version. Originally,
CHIMERE was designed for urban areas. It was extended later to western
Europe, and then to the northern part of Africa by including mineral dust
emissions, but was limited to these areas only, due to limitations in
available data (such as the anthropogenic emissions). The typical resolution
(grid spacing) of the simulation domains range from 4 km for urban-scale
domains to about 50 km for regional-scale domains
<xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx101" id="text.4"/>.</p>
      <p>The CHIMERE model has been used for a long time for studies at the urban to
regional scale. <xref ref-type="bibr" rid="bib1.bibx105" id="text.5"/> has used this model within the CityDelta
project over four major urban areas in Europe (Berlin, Milan, Paris and
Prague), at a horizontal resolution of 5 km. While this resolution is not
sufficient to resolve adequately urban-scale phenomena, <xref ref-type="bibr" rid="bib1.bibx101" id="text.6"/>
have shown that due to limitations in the accuracy of the input
meteorological fields, increasing the horizontal model resolution to values
lower than 10 km might actually degrade model performance. The same authors
<xref ref-type="bibr" rid="bib1.bibx102" id="paren.7"/>, show that, actually, rather than increasing the model
resolution towards kilometric scale, better results can be obtained by
downscaling model results to a kilometric resolution representative of urban
scale by mixing model outputs with fine-scale information on emissions.
Recent studies using CHIMERE at urban scale include the work of
<xref ref-type="bibr" rid="bib1.bibx61" id="text.8"/>, using a set of long-term (10 year) CHIMERE simulations
at 4 km horizontal resolution for the Paris region, including urban, suburban
and rural areas, where the CHIMERE model is used for the present climate but
also to test the possible impact of different emission and climate scenarios
on air quality in this area. CHIMERE has also been used at continental scale
for a long time, including model intercomparison exercises such as AQMEII
<xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx93 bib1.bibx92" id="paren.9"/>, Eurodelta <xref ref-type="bibr" rid="bib1.bibx83" id="paren.10"/> and
more recently Eurodelta III <xref ref-type="bibr" rid="bib1.bibx6" id="text.11"/>. The latter study presents
the evaluation of the CHIMERE outputs for the main species of gaseous and
particulate atmospheric trace components along with these of six other
state-of-the-art models over Europe. The interested reader is therefore
referred to <xref ref-type="bibr" rid="bib1.bibx6" id="text.12"/> for a detailed comparison of the CHIMERE
characteristics and performance compared to other models, and to
<xref ref-type="bibr" rid="bib1.bibx97" id="text.13"/> for a detailed overview of the CHIMERE performance and
scores regarding the concentrations of many gaseous and aerosol species
compared to a network of ground measurements over Europe for year 2009. As
these studies at continental scale are very recent and dramatic changes in
model performance over Europe do not occur from the changes presented here,
the present article is not only focused on evaluating the model performance
relative to observations but also on describing the generalization of the
model scope to hemispheric scales and the inclusion of new processes. For
forecasts, the model is applied daily for the French PREVAIR system,
<xref ref-type="bibr" rid="bib1.bibx41" id="paren.14"/>, the COPERNICUS program, <xref ref-type="bibr" rid="bib1.bibx21" id="paren.15"/>, as well as in
many air quality networks.</p>
      <p>In this paper, the CHIMERE-2017 model version is presented. All new
developments made since the CHIMERE-2013 version <xref ref-type="bibr" rid="bib1.bibx65" id="paren.16"/> are
presented. This mainly consists in an extension of input databases, model
grid management, optimization and chemical mechanism. The changes for the
grid management are dedicated to build a CTM able to run over a hemispheric
domains as well as for smaller regions anywhere in the world. These
developments required important changes in the model, as well as the
improvement of many processes already included in the previous version: the
Fast-JX module for realistic evaluation of the photolysis rates has been
added and allows for the calculation of updated photolysis rates at each physical
time step, including the optical effects of clouds and aerosols. The mineral
dust emissions have been upgraded in order to estimate fluxes in any region.
In addition, this new version has also been an opportunity to update the
representation of chemical processes by giving the user the choice to use the
SAPRC chemical mechanism, which is more widely used than the MELCHIOR
chemical scheme developed for the CHIMERE
model <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx65" id="paren.17"/>. Chlorine chemistry has been included,
and the representation of physical processes affecting the aerosols, such as
nucleation, coagulation and wet deposition, has been improved, while a scheme
for traffic-related resuspension of particulate matter in urbanized areas has
been included in the model.</p>
      <p>CHIMERE-2017 is an offline chemistry-transport model, meaning that it needs
to be provided with input meteorological fields, and does not implement any
feedback of atmospheric chemistry on atmospheric dynamics. As the CHIMERE
model is used for both analysis and forecast, particular attention was given
to the optimization of computational performance. Numerous improvements were
made in the code and are completely transparent for the user: these changes
are described in Sect. <xref ref-type="sec" rid="Ch1.S2"/>.</p>
      <p>Section <xref ref-type="sec" rid="Ch1.S3"/> presents the changes in the model geometry, including
the vertical mesh, as well as changes in the horizontal coordinate system
allowing for the application of the model to hemispheric scale domains.</p>
      <p>Section <xref ref-type="sec" rid="Ch1.S4"/> presents the improvements in the representation of
anthropogenic emissions, including the use of the global HTAP (hemispheric transport of atmospheric pollutants) emission
dataset for anthropogenic emissions, and the improvements in modeling
mineral dust emissions.</p>
      <p>Section <xref ref-type="sec" rid="Ch1.S5"/> describes the changes in the representation of
various physical and chemical processes in the model, such as inclusion of
the SAPRC scheme for gaseous chemistry and inclusion of chlorine chemistry in
the model. This section also presents the evolutions in the modeling of the
physical processes affecting aerosols, as well as the implementation of the
Fast-JX module for radiative transfers. Another major improvement presented
in this section is the ability of CHIMERE-2017 to provide lidar observables
as a model output.</p>
      <p>Section <xref ref-type="sec" rid="Ch1.S6"/> presents the application of CHIMERE-2017 to simulations
of 3 winter months and 3 summer months in a domain covering
continental Europe at 50 km resolution, and the scores obtained by the model
in comparison with background observations of gaseous and particulate species
in this configuration.</p>
      <p>Section <xref ref-type="sec" rid="Ch1.S7"/> presents the application of the new model version to the
simulation of the eruption of the Puyehue–Cordon Caulle volcano, in the
Chilean Andes, in June 2011. This event provides a good test bed for this new
version, since the volcanic plume from this volcanic eruption was dense
enough to be observed by satellites all along its circumpolar transport
around the South Pole.</p>
      <p>Finally, Sect. <xref ref-type="sec" rid="Ch1.S8"/> presents the conclusions of the present
study, in terms of applications made possible by this new model version, as
well as the outlines for future developments of the CHIMERE model.</p>
</sec>
<sec id="Ch1.S2">
  <title>Optimizations</title>
      <p>Several technical changes were made in the CHIMERE code to improve code
scalability: these changes regard the parallelization of many preprocessors
into the parallelized section of the model, along with improvement of the
parallelization strategy for some parts of the model that were already
parallelized in order to improve code scalability.</p>
<sec id="Ch1.S2.SS1">
  <title>Parallelization of preprocessors</title>
      <p>Compared to the previous model version, several programs that used to be
sequential preprocessors executed before the CHIMERE run itself have now been
parallelized and included into the main CHIMERE executable. This is the case
of the interpolation and treatment of the input meteorological fields. In the
new model version, these fields are read and processed at each hourly time
step (instead of being processed once and for all in a sequential way at the
beginning of the run). This new design has no impact on the model outputs but
has two advantages:
<list list-type="order"><list-item>
      <p>It allows a reduction of computation time by parallelization of this calculation
step.</p></list-item><list-item>
      <p>It enables the possibility to develop an online coupled version of the model,
in which case the meteorological fields would not be pre-generated.</p></list-item></list>
Note that this “real-time” processing of the meteorological fields is only
available for users who use meteorological fields from the WRF (Weather Research and Forecast) model. For users of
other sources of meteorological data, such as ECMWF (European Centre for Medium-Range Weather Forecasts) products, offline
meteorological preprocessors are still provided with the model. Another
important point is that even though the processing of meteorological input
has been changed as described here, the version presented here does not take
into account any radiative or microphysical feedback of atmospheric chemistry
on meteorology. A version including aerosol–radiation interactions through
online coupling of CHIMERE with WRF has been developed <xref ref-type="bibr" rid="bib1.bibx11" id="paren.18"/>,
and is available upon request from the lead author of that study. Apart from
allowing online coupling between CHIMERE and WRF, the model setup described
by <xref ref-type="bibr" rid="bib1.bibx11" id="text.19"/> also permits to update the meteorological fields at any
time step shorter than 1 h.</p>
      <p>Table <xref ref-type="table" rid="Ch1.T1"/> lists the variables that can be read by CHIMERE from
the outputs of the meteorological model, separating the variables that are
mandatory from the optional ones.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Mandatory and optional variables obtained from meteorological
input data. If the optional variables are not provided by the raw
meteorological model, there are diagnosed during the simulation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">CHIMERE name</oasis:entry>

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

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

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

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry rowsep="1" colname="col1" morerows="14">Mandatory variables</oasis:entry>

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

         <oasis:entry colname="col3">Longitude of grid points</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Latitude  of grid points</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">tem2</oasis:entry>

         <oasis:entry colname="col3">2 m temperature</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

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

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Soil moisture</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">m<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M4" 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></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">rh2m</oasis:entry>

         <oasis:entry colname="col3">2 m relative humidity</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">0–1</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Large-scale precipitation</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">kg m<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M6" 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></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Convective precipitation</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">kg m<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M8" 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></oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col4">3-D</oasis:entry>

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

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Cloud liquid water content (excluding rain water)</oasis:entry>

         <oasis:entry colname="col4">3-D</oasis:entry>

         <oasis:entry colname="col5">kg kg<inline-formula><mml:math id="M9" 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></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Specific humidity</oasis:entry>

         <oasis:entry colname="col4">3-D</oasis:entry>

         <oasis:entry colname="col5">kg kg<inline-formula><mml:math id="M10" 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></oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col4">3-D</oasis:entry>

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

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Altitude of half layer</oasis:entry>

         <oasis:entry colname="col4">3-D</oasis:entry>

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

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Zonal component of the wind</oasis:entry>

         <oasis:entry colname="col4">3-D</oasis:entry>

         <oasis:entry colname="col5">m s<inline-formula><mml:math id="M11" 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></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Meridional component of the wind</oasis:entry>

         <oasis:entry colname="col4">3-D</oasis:entry>

         <oasis:entry colname="col5">m s<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>

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

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

         <oasis:entry colname="col3">Shortwave radiation</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">W m<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>
       <?xmltex \rotentry?>
         <oasis:entry colname="col1" morerows="10">Optional variables</oasis:entry>

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

         <oasis:entry colname="col3">Longwave radiation</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">W m<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Surface sensible heat flux</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">W m<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Surface latent heat flux</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">W m<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Friction velocity</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">m s<inline-formula><mml:math id="M17" 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></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Boundary-layer height</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

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

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Water equivalent accumulate snow</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">kg m<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Snow height</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

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

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Sea-ice ratio</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

         <oasis:entry colname="col5">n/a</oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Surface pressure</oasis:entry>

         <oasis:entry colname="col4">2-D</oasis:entry>

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

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Rain water content</oasis:entry>

         <oasis:entry colname="col4">3-D</oasis:entry>

         <oasis:entry colname="col5">kg kg<inline-formula><mml:math id="M19" 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></oasis:entry>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Ice content</oasis:entry>

         <oasis:entry colname="col4">3-D</oasis:entry>

         <oasis:entry colname="col5">kg kg<inline-formula><mml:math id="M20" 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></oasis:entry>

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

</sec>
<sec id="Ch1.S2.SS2">
  <title>Improvement of the parallelization</title>
      <p>In 2006, the main CHIMERE loop was parallelized using a
master–slave pattern. A Cartesian division of the simulation domain into
several sub-domains is done, each sub-domain being attributed to one slave
process. Each slave performs the model integration in its own geographical
sub-domain as well as boundary condition exchanges with its neighbors in
order to permit transport from one slave to the next. In addition, in former
CHIMERE versions, a master process was needed in order to gather and scatter
data from the various slave processes that performed the actual gridded
calculations, and to perform initializations and file input/output.</p>
      <p>The use of a master process limited the efficiency of the parallelized code,
since the master process did not perform any computation except gathering and
scattering the data to and from the slaves, and that it totally centralized
the input and output tasks, a bottleneck effect that limited the gains
realized by parallelization, particularly when the simulation domains were
very large and split between many slaves.</p>
      <p>Therefore, in the CHIMERE-2017 version, this master process has been removed:
using the parallel input/output routines of the parallel-netcdf
library <xref ref-type="bibr" rid="bib1.bibx55" id="paren.20"/>, each slave process now reads the netcdf input files
and writes the output data for its own sub-domain into a single output netcdf
file common to all slaves, removing the bottleneck effect due to the
centralization of input/output tasks.</p>
      <p>This induces some major simplifications of CHIMERE code, including reduction
of inter-process communications related to the parallelization of the
input/output processes, which were performed in a central way by the master
process in previous model version.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Model geometry</title>
      <p>Major changes have been implemented in CHIMERE-2017 compared to earlier
CHIMERE versions, opening the possibility to perform simulations in domains
including the pole.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1"><caption><p>Centered (black) and staggered (blue and green) grid points in
the Arakawa C-grid.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f01.png"/>

      </fig>

      <p>Historically, CHIMERE was first designed as a box model for the region of
Paris <xref ref-type="bibr" rid="bib1.bibx64" id="paren.21"/>. Rapidly, it has been transformed into a Cartesian
model on curvilinear Arakawa C-grids (<xref ref-type="bibr" rid="bib1.bibx2" id="altparen.22"/>; see
Fig. <xref ref-type="fig" rid="Ch1.F1"/>). However, the formulation of the transport scheme on
these curvilinear grids up to CHIMERE-2014b was still based on a longitude–latitude
(lat–long)
formulation, which implied the impossibility to include poles in the domain.
In CHIMERE-2017, as in earlier versions, the user can choose between three
different options for horizontal transport schemes, namely the basic upwind
scheme, the slope-limited Van Leer scheme <xref ref-type="bibr" rid="bib1.bibx103" id="paren.23"/> and the
piecewise parabolic method <xref ref-type="bibr" rid="bib1.bibx17" id="paren.24"/>, all of which are examined in
the CHIMERE model in <xref ref-type="bibr" rid="bib1.bibx108" id="text.25"/>. These three schemes are designed to
estimate the trace species concentration at grid cell interfaces in order to
convert the mass flux of total air through cell boundaries into mass fluxes
for each of the model species through these boundaries. While the
implementation of these schemes has needed no change in building the present
model version, the estimate of the atmospheric mass flux between neighboring
model grid cells has been revised by switching to a new coordinate system in
order to lift model limitations concerning the geographic poles and the
date-change lines. These three schemes are designed to be monotonous (because
they include the use of slope-limiting algorithms, except for the upwind
scheme,
which does not need the use of such algorithm), and mass-conservative because
of their flux formulation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Cartesian and spherical frames for the representation of point
coordinates and speed vectors</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f02.png"/>

      </fig>

      <p>This has been achieved by switching from a representation of the grid points
in a spherical lat–long coordinate system, singular at the pole, to a 3-D
Cartesian coordinate system, which has no singularity. In the former CHIMERE,
versions the grid centers were represented by their geographical coordinates
<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mfenced></mml:mrow></mml:math></inline-formula>, and the wind vectors by their
projection on the local frame
<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="italic">λ</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi></mml:msub></mml:mfenced></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). In
the present version, the points are represented by their Cartesian
coordinates in the frame centered at the Earth center and with unit vectors
<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mfenced></mml:mrow></mml:math></inline-formula>, and the wind vectors
are represented by their projections on these unit vectors.</p>
      <p>This change in the internal representation of spherical geometry has only a
small impact on the simulated values, in the sense that it corrects some
geometrical errors that appeared due to the assumptions made in the old
coordinate system, but these differences have been found to be of very small
amplitude, except in the vicinity of the pole where distortions due to the
lat–long system become critical. The new coordinate system allows for domains that
include the pole, without the need for any particular filtering. This
strategy allows for the creation of regional domains from local to hemispheric
scale anywhere on the globe, including one pole or even, which opens possible
application of CHIMERE-2017 for studies in the polar areas, including
circumpolar transport of polluted air masses, as will be shown in
Sect. <xref ref-type="sec" rid="Ch1.S7"/>. An example grid on which CHIMERE-2017 can be run is
shown on Fig. <xref ref-type="fig" rid="Ch1.F3"/>. This grid is a polar stereographic grid
centered at the north pole, entirely covering the Northern Hemisphere, and
with the four corners of the domains extending slightly into the Southern
Hemisphere (as far south as 19.47<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S). With this projection and this
number of points, the horizontal model resolution varies from
<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mn mathvariant="normal">140</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">140</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> at the pole to <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mn mathvariant="normal">70</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> at the
Equator.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Model grid generated for the Northern Hemisphere with <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mn mathvariant="normal">180</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">180</mml:mn></mml:mrow></mml:math></inline-formula>
points in polar stereographic projection, viewed from the top (upper panel)
and from the side (lower panel).</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f03.png"/>

      </fig>

      <p>In this new coordinate system, the transport is calculated as follows. First,
the coordinates of every grid center <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> are converted from
their geographical coordinates <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mfenced></mml:mrow></mml:math></inline-formula> to
Cartesian coordinates <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mfenced></mml:mrow></mml:math></inline-formula> on a unit
sphere as follows:
          <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M33" display="block"><mml:mrow><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left left left"><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:mi>cos⁡</mml:mi><mml:msup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mi>cos⁡</mml:mi><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:mi>cos⁡</mml:mi><mml:msup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mi>sin⁡</mml:mi><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:mi>sin⁡</mml:mi><mml:msup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>.</mml:mo></mml:mfenced></mml:mrow></mml:math></disp-formula></p>
      <p>The horizontal wind vector <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at the grid center is initially
represented by the two classical wind components:
<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="italic">λ</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi>v</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, where the zonal and meridional wind components
<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi>v</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> are obtained from the meteorological inputs. Since this
representation splitting the horizontal wind into a zonal and a meridional
component is singular at the geographical poles, before performing the
transport operations, the horizontal wind is split into its three components
on the Cartesian frame <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mfenced></mml:mrow></mml:math></inline-formula>
using the following formulae for projecting the wind on the Cartesian frame
<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mfenced></mml:mrow></mml:math></inline-formula>:
          <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M40" display="block"><mml:mrow><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left left left"><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">λ</mml:mi><mml:msup><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mo>-</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">λ</mml:mi><mml:msup><mml:mi>v</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">λ</mml:mi><mml:msup><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">λ</mml:mi><mml:msup><mml:mi>v</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:msup><mml:mi>v</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>.</mml:mo></mml:mfenced></mml:mrow></mml:math></disp-formula></p>
      <p>Once the Cartesian coordinates of the grid centers
<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mfenced></mml:mrow></mml:math></inline-formula> and of the wind-speed vectors
<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:msubsup><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mfenced></mml:mrow></mml:math></inline-formula> are computed at the grid centers,
it is easy to obtain the values of the speed vectors at the staggered cells
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>) with the following formulae:
          <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M43" display="block"><mml:mrow><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left left left"><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>U</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>U</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msubsup></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>U</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>U</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>U</mml:mi><mml:mi>k</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>.</mml:mo></mml:mfenced></mml:mrow></mml:math></disp-formula></p>
      <p>This new formulation with the use of Cartesian coordinates instead of
geographical lat–long coordinates for the transport of pollutants
removes the constraints that prevented the use of CHIMERE on domains
including a geographic pole and/or a date-change line. This new formulation
has been tested on the case of the eruption of the Puyehue volcano, in June
2011, a case during which the ash plume from the volcano went around the
South Pole through the southern Atlantic, Pacific and Indian oceans back to
South America after 15 days (Sect. <xref ref-type="sec" rid="Ch1.S7"/>). This case is a perfect
test bed for the ability of the model to simulate circumpolar movements, and
evaluate its ability to represent the location of an aerosol plume after
several days/weeks of travel.</p>
<sec id="Ch1.S3.SS1">
  <title>Vertical mesh calculation</title>
      <p>The vertical discretization of CHIMERE needs to obey 2-fold requirements.
First, as it has been the case since the beginning of the development of the
model, the vertical mesh needs to be very refined in the lowest atmospheric
layers because these layers are critical for the modeling of boundary-layer
contamination, particularly in urban areas, but also in marine areas with
sea-salt emissions, and in arid areas with mineral dust emissions. On the
other hand, the CHIMERE model is now used not only for studies at
urban/regional scale, but also for studies at continental and, from the
present version, hemispheric scale. Therefore, a relatively fine vertical
resolution is also needed in the free troposphere to be able to simulate the
transport of trace gases and aerosols over large distances avoiding excessive
numerical diffusion. Therefore, due to these two requirements, the
CHIMERE-2017 vertical mesh is defined as described below.</p>
      <p>Regarding the vertical discretization, the user has three degrees of freedom:
<list list-type="bullet"><list-item>
      <p>The thickness of the first layer. The user can fix the top of the first model
layer, by setting the top of the first model layer in sigma coordinates:
<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.997</mml:mn></mml:mrow></mml:math></inline-formula> corresponds to a thickness of about 3 hPa for the first model layer, about 30 m.</p></list-item><list-item>
      <p>The number of layers, typically from 8 to 20 layers for the most
common configurations of the model.</p></list-item><list-item>
      <p>The pressure of the top of the model, <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>top</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, can be freely set by the user with
typical values from 500 hPa for studies at urban/regional scales to 100 hPa for continental-/hemispheric-scale studies.</p></list-item></list></p>
      <p>From these user-defined parameters, a preprocessing tool calculates a
vertical grid as follows:
<list list-type="bullet"><list-item>
      <p>From the surface to 800 hPa, the layer thickness (in hPa) increases
exponentially.</p></list-item><list-item>
      <p>From 800 hPa to the top of model, the layers are evenly distributed, with equal thickness for each layer.</p></list-item></list></p>
      <p>This procedure outputs the pressure of the level tops, for a reference
surface pressure <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of 1000 hPa. However, the model levels need to
adapt themselves to the variations of the surface pressure, essentially due
to orography. This is ensured by scaling linearly the pressure levels between
the surface pressure and the pressure at the top of model, <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>top</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
producing two sequences of coefficients <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, such that the
pressure at the top of level <inline-formula><mml:math id="M50" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> is given by <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>p</mml:mi><mml:mtext>ref</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>p</mml:mi><mml:mtext>surf</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.
These coefficients are given by the following expressions:
            <disp-formula id="Ch1.E4" content-type="numbered"><mml:math id="M52" display="block"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>top</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>ref</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mtext>top</mml:mtext></mml:msub></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            <disp-formula id="Ch1.E5" content-type="numbered"><mml:math id="M53" display="block"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi>p</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mtext>top</mml:mtext></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>ref</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mtext>top</mml:mtext></mml:msub></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>The linear scaling of the pressure levels by these two sequences of
coefficients ensures that the pressure levels never cross each other, and
that their relative thickness stays the same even above high topography, as
shown in Fig. <xref ref-type="fig" rid="Ch1.F4"/>. Vertical transport on this mesh can be
calculated using either a slope-limited Van Leer scheme <xref ref-type="bibr" rid="bib1.bibx103" id="paren.26"/>
or a upwind scheme, depending on user's choice, also taking into account
turbulent mixing and, optionally, deep-convection fluxes, following the
<xref ref-type="bibr" rid="bib1.bibx99" id="text.27"/> formulation.<?xmltex \hack{\newpage}?></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Model pressure levels with 20 vertical levels: thickness of the
first model layer is 3 hPa, top of model set at 200 hPa. Pressure levels are
represented across an idealized mountain with a top at 500 hPa.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f04.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Emissions</title>
<sec id="Ch1.S4.SS1">
  <title>The anthropogenic emissions</title>
<sec id="Ch1.S4.SS1.SSS1">
  <title>Overall description</title>
      <p>CHIMERE needs to be forced at least by input meteorological fields, and by
anthropogenic emissions. A preprocessor for anthropogenic emissions, named
<italic>emisurf</italic>, is provided to the users. This preprocessor was historically
developed for the downscaling and reformatting of the raw emissions from the
EMEP (European Monitoring and Evaluation Program) emission
inventory at 50 km resolution, but can be adapted by users to
any other raw dataset they need to use. The main steps for this are described
in <xref ref-type="bibr" rid="bib1.bibx68" id="text.28"/>:
<list list-type="bullet"><list-item>
      <p>A first step projects the annual masses from the “raw” EMEP grid to the
CHIMERE grid. The spatial emission distribution from the EMEP grid to the CHIMERE
grid is performed using proxies like population density, as described by Fig. <xref ref-type="fig" rid="Ch1.F5"/>a–d.
Proxies used by <italic>emisurf</italic> for this process include land-use data (either
GLCF, USGS or GlobCover), large point source database (such as the EPER database for Europe), etc.</p></list-item><list-item>
      <p>Second, monthly, weekly and hourly profiles are prescribed to convert annual totals
to hourly fluxes used as input for CHIMERE. These factors are derived largely from data
provided by the University of Stuttgart (IER) as part of the GENEMIS project
<xref ref-type="bibr" rid="bib1.bibx31" id="paren.29"/>, and are available as data files from the EMEP model website, <uri>www.emep.int</uri>.</p></list-item><list-item>
      <p>A last step consists in converting the species available in the raw data into
the model species. Generally, a minimum of seven species are available: CO, SO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>,
NH<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NMVOC (non-methane volatile organic compounds), PM<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">coarse</mml:mi></mml:msub></mml:math></inline-formula> (difference between PM<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>).
In CHIMERE, depending on the chemical scheme, about 30 species are emitted. NO<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> is
split into NO, NO<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HONO. Usually, 5 to 10 % is assigned for NO<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>
emissions for all sectors, except for traffic emissions where 20 % should assigned to
NO<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for modern fleets (post-2010). For NMVOC, the
data used are derived
from the detailed United Kingdom speciation given in <xref ref-type="bibr" rid="bib1.bibx76" id="text.30"/>. For
SO<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, 99 % is assigned to SO<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and 1 % for primary sulfate to account
for very fast and local sulfate production. The lumping procedure accounts for the
reactivity of VOC species following <xref ref-type="bibr" rid="bib1.bibx69" id="text.31"/>.</p></list-item></list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Downscaling strategy for the anthropogenic emissions.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f05.png"/>

          </fig>

      <p>The vertical distributions were originally based upon plume-rise calculations
performed for different types of emission sources, which are thought typical
for different emission categories, under a range of stability conditions
<xref ref-type="bibr" rid="bib1.bibx106" id="paren.32"/>, but have since been simplified and adjusted to reflect the
more recent findings of <xref ref-type="bibr" rid="bib1.bibx8" id="paren.33"/>. The main changes have been
for the residential sector where now 100 % of the emissions are placed in the
lowest 20 m of the atmosphere, reflecting the large dominance of domestic
combustion for this emission category. Also, emissions from large combustion
facilities in SNAP (Selected Nomenclature for Air Pollutants) sectors 1
and 4 corresponding to large industrial facilities burning fossil fuels are
attributed to lower layers than in <xref ref-type="bibr" rid="bib1.bibx106" id="text.34"/>, resulting in enhanced
concentrations of primary species such as NO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
in the boundary layer, in better agreement with routine surface observations,
as discussed in <xref ref-type="bibr" rid="bib1.bibx59" id="text.35"/>. The vertical distribution profiles
that are used for each SNAP sector are constant profiles depending only on
the SNAP sector, and are presented in <xref ref-type="bibr" rid="bib1.bibx97" id="text.36"/>.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <title>Recent changes</title>
      <p>The main recent changes have been focused on the use of proxies to better
reallocate in space the raw emissions. This specialization can be performed
from the raw gridded data or directly from the annual country totals
<xref ref-type="bibr" rid="bib1.bibx97" id="paren.37"/>.</p>
      <p>The European Pollutant Release and Transfer Register (E-PRTR) data are used
to precisely place the emissions from the main industrial sources. E-PRTR is
the Europe-wide register that provides easily accessible key environmental
data from industrial facilities in European Union member states and in
Iceland, Liechtenstein, Norway, Serbia and Switzerland.</p>
      <p>To treat road traffic emissions at the European scale, a spatial proxy to
distribute the annual country emissions has been developed. This proxy
provides a unitless value for a given cell at 1 km resolution over Europe. It
is built by crossing several databases (population, land cover data, roads,
etc.); it consists of a linear regression of several parameters such
as
population density, length of road, and surface of urban areas in a given
fine grid cell. The regression coefficients are calculated over France thanks
to the use of the French high-resolution bottom-up inventory and applied
everywhere over Europe (Fig. <xref ref-type="fig" rid="Ch1.F6"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Map of the unitless value calculated for the traffic emission
proxy: low (blue) to high (red) values.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f06.png"/>

          </fig>

      <p>For the extrapolation at the European level, it uses the best source of
information among the following proxies: CORINE land cover (from the European
Environment Agency), road data of the ETISplus European project (European
Transport policy Information System) for 2010 over Europe. ETISplus combines
data, analytical modeling with maps (GIS) and a single online interface for
accessing the data. Default European GIS road data from EuroglobalMap,
default worldwide GIS road data from natural Earth
data<fn id="Ch1.Footn1"><p><uri>http://www.naturalearthdata.com/</uri></p></fn>, and population
database by <xref ref-type="bibr" rid="bib1.bibx33" id="text.38"/> over Europe and data from Center for
International Earth Science Information Network (CIESIN) for the rest of the
world. All of these data were not available on the whole domain. Therefore,
three tiers of information were defined to cover all countries with different
levels of confidence:
<list list-type="bullet"><list-item>
      <p>Countries covered by all the data: Iceland, Norway, Turkey,
Bosnia Herzegovinia, Serbia, Montenegro, Kosovo, Macedonia, Albania and all
the EU28 except Greece.</p></list-item><list-item>
      <p>Countries without CLC coverage but with ETIS or EuroglobalMap
data: Belarus, Ukraine, Moldavia and Greece.</p></list-item><list-item>
      <p>Other countries are only covered by the world road map and
population data.</p></list-item></list></p>
      <p>For shipping emissions (SNAP 8), a proxy was developed using an inventory of
shipping routes obtained from the US National Center for Ecological Analysis
and Synthesis.
A database of pressure on marine ecosystems has been
developed for the year 2008 by <xref ref-type="bibr" rid="bib1.bibx37" id="text.39"/> but the dataset
remains non-exhaustive, the data being collected only on voluntary vessels.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Mineral dust emissions</title>
      <p>Mineral dust modeling is an important process for understanding climate
evolution but also for air quality regional modeling. For many regions over
the world, it becomes necessary to manage air pollution knowing the relative
part of anthropogenic and natural contributions. For this, even over small
regions, it is important to have the same level of knowledge for mineral dust
emissions as for anthropogenic or biogenic emissions. In this new model
version, many improvements were done for mineral dust emissions. They are
related to input databases, the emission schemes themselves and additional
options to better take into account the impact of meteorological conditions
on emissions.</p>
<sec id="Ch1.S4.SS2.SSS1">
  <title>Soil, land use and roughness length</title>
      <p>For the calculation of mineral dust emissions, several variables have to be
known: land use, soil characteristics, aeolian roughness length and
erodibility. Originally, CHIMERE used a database limited to North Africa and
the Arabian Peninsula. For simulations over Africa or Europe, this spatially
limited database was considered adequate, Sahara being the major source in
this region. But for this new CHIMERE-2017 version, the goal is to enable
calculations of mineral dust emissions anywhere in the world. It is then
necessary to change from regional to global databases. A large part of this
change was already done in <xref ref-type="bibr" rid="bib1.bibx66" id="text.40"/> for land use, soil and roughness
length. The soil and land use used are now those from NCAR USGS land-use
dataset <xref ref-type="bibr" rid="bib1.bibx40" id="paren.41"/> and STATSGO-FAO soil dataset <xref ref-type="bibr" rid="bib1.bibx112" id="paren.42"/>.
The roughness length is estimated using the global 6 km horizontal resolution
“Global Aeolian Roughness Lengths from ASCAT and PARASOL” dataset
<xref ref-type="bibr" rid="bib1.bibx79" id="paren.43"/>.</p>
      <p>In addition to these changes, the option to evaluate the soil erodibility
based on satellite data was added. Therefore, three options are now available
in CHIMERE 2017:
<list list-type="order"><list-item>
      <p>Calculate the erodibility from the land-use database: cropland, grassland,
shrubland and barren or sparsely vegetated areas, are then considered as partly erodible.
This was the only option offered in earlier CHIMERE versions. In this case,
constant percentages are applied for each land-use category.</p></list-item><list-item>
      <p>Use the global erodibility dataset derived from MODIS <xref ref-type="bibr" rid="bib1.bibx36" id="paren.44"/>,
included and used in CHIMERE as described by <xref ref-type="bibr" rid="bib1.bibx4" id="text.45"/>.</p></list-item><list-item>
      <p>Use a mix between these two strategies, using MODIS only over desert areas
and the USGS land uses categories elsewhere.</p></list-item></list></p>
</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <title>The Kok's scheme for mineral dust emissions</title>
      <p>In this model version, the Kok mineral dust emissions parameterization is
proposed, in addition to the <xref ref-type="bibr" rid="bib1.bibx62" id="text.46"/> and <xref ref-type="bibr" rid="bib1.bibx1" id="text.47"/>
schemes.</p>
      <p>The Kok scheme is fully described in the articles <xref ref-type="bibr" rid="bib1.bibx51" id="text.48"/>,
<xref ref-type="bibr" rid="bib1.bibx50" id="text.49"/> and <xref ref-type="bibr" rid="bib1.bibx58" id="text.50"/>. The vertical dust flux is
calculated as
              <disp-formula id="Ch1.E6" content-type="numbered"><mml:math id="M69" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>d</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>d</mml:mtext></mml:msub><mml:msub><mml:mi>f</mml:mi><mml:mtext>bare</mml:mtext></mml:msub><mml:msub><mml:mi>f</mml:mi><mml:mtext>clay</mml:mtext></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>t</mml:mtext></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>t</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:msub><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>bare</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>clay</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represent the relative fraction of bare soil
and clay soil content, respectively. The flux is calculated only if <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>t</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. The threshold friction velocity, <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>t</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, is calculated using the
<xref ref-type="bibr" rid="bib1.bibx44" id="text.51"/> or the <xref ref-type="bibr" rid="bib1.bibx88" id="text.52"/> scheme (a user's choice). The
corresponding <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is this friction velocity but for a standard
atmospheric density <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mtext>a</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.225</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M76" 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>:
              <disp-formula id="Ch1.E7" content-type="numbered"><mml:math id="M77" display="block"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>t</mml:mtext></mml:mrow></mml:msub><mml:msqrt><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mtext>a</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for an optimally erodible soil and was chosen
as <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> m s<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in <xref ref-type="bibr" rid="bib1.bibx51" id="text.53"/>. The dimensionless
coefficient <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is chosen as <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
      <p>The dust emission coefficient <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represents the soil erodibility as
              <disp-formula id="Ch1.E8" content-type="numbered"><mml:math id="M85" display="block"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>d</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mtext>d</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>e</mml:mtext></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mtext>st</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></disp-formula>
            with the constant dimensionless coefficients <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>e</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mtext>d</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.4</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">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p>The vertical dust flux is integrated over the whole size distribution. This
flux is thus redistributed into the model dust size distribution as
              <disp-formula id="Ch1.E9" content-type="numbered"><mml:math id="M88" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">dln</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mfenced open="[" close="]"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mi mathvariant="normal">erf</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mtext>d</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mtext>s</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msqrt><mml:mn mathvariant="normal">2</mml:mn></mml:msqrt><mml:mi>ln⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>s</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mfenced><mml:mi>exp⁡</mml:mi><mml:mfenced close="]" open="["><mml:mo>-</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the volume of mineral dust aerosols for each mean mass median
diameter <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12.62</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>s</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>s</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m
and <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <title>Impact of vegetation on dust emissions</title>
      <p>The vegetation evolves during the year and this variability will impact the
mineral dust emissions. Contrarily to the previous model version, more
focused on Saharan areas, this version is able to model mineral dust all
around the world. For example in areas such as the Sahelian region or Europe,
mineral dust are observed but are very dependent on the vegetation
variability. To take into account this variability, the vegetation fraction
is diagnosed from the USGS 30 s resolution database and acts as a limiter to
the erodibility factor.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS4">
  <title>Impact of rain on dust emissions</title>
      <p>The possibility to inhibit or moderate dust erosion in case of rainfall was
improved in this model version. In the previous model versions, the complete
inhibition of mineral dust emissions during a rainfall event was already
considered. In this version, a “rain memory function” was added in order to
take into account the possible crusting of the soil <xref ref-type="bibr" rid="bib1.bibx43" id="paren.54"/>
and thus the fact that emissions are also reduced after a rainfall event. For
this calculation, a simple factor <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is applied to moderate the dust
emissions fluxes when a precipitation is diagnosed and during the next hours
as
              <disp-formula id="Ch1.E10" content-type="numbered"><mml:math id="M99" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mtext>dust</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the time since the last precipitation event and <inline-formula><mml:math id="M101" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>
the period after which the surface mineral dust fluxes <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mtext>dust</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is fully
taken into account, considering that the inhibiting effect of precipitation
is finished. For this study, <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is in hours and <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula>. This
function is displayed in Fig. <xref ref-type="fig" rid="Ch1.F7"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Function defined to moderate the mineral dust emissions fluxes
after a precipitation event.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS2.SSS5">
  <title>Impact of soil moisture on dust emissions</title>
      <p>In the absence of precipitation, the soil moisture may also inhibit mineral
dust erosion. This effect is taken into account using the <xref ref-type="bibr" rid="bib1.bibx30" id="text.55"/>
parameterization. This scheme considers that soil moisture will increase the
threshold friction velocity, <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mi>T</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, used to determine if erosion occurs
or not. To distinguish between soil conditions, the dry and wet threshold
friction velocities are defined, and noted <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>w</mml:mtext></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
respectively. <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>w</mml:mtext></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is estimated as a possible increase of
<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> depending on the modeled gravimetric soil moisture <inline-formula><mml:math id="M110" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> (in
kg kg<inline-formula><mml:math id="M111" 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>):
              <disp-formula id="Ch1.E11" content-type="numbered"><mml:math id="M112" display="block"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>w</mml:mtext></mml:msub></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow></mml:msubsup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>In the model, the dry threshold friction velocity, <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is calculated
following the scheme of <xref ref-type="bibr" rid="bib1.bibx88" id="text.56"/>. The <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> factor is estimated as
              <disp-formula id="Ch1.E12" content-type="numbered"><mml:math id="M115" display="block"><mml:mrow><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="center left left left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mn mathvariant="normal">1</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">for</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>w</mml:mi><mml:mo>&lt;</mml:mo><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mrow><mml:msup><mml:mfenced open="[" close="]"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mi>A</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:msup></mml:mfenced><mml:mn mathvariant="normal">0.5</mml:mn></mml:msup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">for</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>w</mml:mi><mml:mo>&gt;</mml:mo><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M116" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are constants to estimate, and <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
corresponds to the minimum soil moisture from which the threshold velocity
increases. The values of <inline-formula><mml:math id="M119" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are dependent on the soil
texture. For <inline-formula><mml:math id="M122" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, the values are fixed to <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.21</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msup><mml:mi>b</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn></mml:mrow></mml:math></inline-formula>.
Using measurements data, <xref ref-type="bibr" rid="bib1.bibx30" id="text.57"/> showed that the value of <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is
mainly dependent on the clay content of the soil and proposed the following
fit:
              <disp-formula id="Ch1.E13" content-type="numbered"><mml:math id="M127" display="block"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0014</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="italic">%</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>clay</mml:mtext><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="italic">%</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>clay</mml:mtext><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>Note that in Eq. (<xref ref-type="disp-formula" rid="Ch1.E12"/>), the gravimetric soil moisture <inline-formula><mml:math id="M128" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> has to
be expressed in %, <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> being in % in Eq. (<xref ref-type="disp-formula" rid="Ch1.E13"/>) (a conversion is done
from kg kg<inline-formula><mml:math id="M130" 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> to %).</p>
</sec>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Traffic-related resuspension</title>
      <p>The resuspension process is important for particulate matter and may induce a
large increase of the emission flux in case of dry soils, for locations where
traffic and industries produce particles that may be deposited on the ground
and therefore become available for resuspension. In this model version, the
resuspension flux is active only for cells containing an urbanized surface.
This flux is applied as primary particulate matter (PPM) emissions only and
thus considered in the model as an anthropogenic process.</p>
      <p>The formulation is derived from the bulk formulation originally proposed by
<xref ref-type="bibr" rid="bib1.bibx56" id="text.58"/>. The resuspension rate <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>, in s<inline-formula><mml:math id="M132" 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>, is
expressed as
            <disp-formula id="Ch1.E14" content-type="numbered"><mml:math id="M133" display="block"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mn mathvariant="normal">1.43</mml:mn></mml:msubsup></mml:mrow><mml:mrow><mml:msup><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1.03</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is the time after the start of resuspension. This time is taken
into account considering that particles are first deposited then resuspended.
The detail of the processes leading to resuspension are essentially unknown,
and we assume here that the available concentration of particulate matter
depends only on the wetness of the surface. In this empirical view, the
resuspension flux is assumed to be
            <disp-formula id="Ch1.E15" content-type="numbered"><mml:math id="M135" display="block"><mml:mrow><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mi>P</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mn mathvariant="normal">1.43</mml:mn></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is a function of the soil water content and <inline-formula><mml:math id="M137" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is a constant
tuned in order to approximately close the PM<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass budget over Europe
estimated in <xref ref-type="bibr" rid="bib1.bibx104" id="text.59"/>. It was found to give a correct amount of
additional PM<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>. In this model version, <inline-formula><mml:math id="M140" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is approximated as
<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.72</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> <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M144" 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> if we consider European mean
conditions with a soil water content of 25 % and a friction velocity of
<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> m s<inline-formula><mml:math id="M146" 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>.</p>
      <p>The soil water function <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is estimated as
            <disp-formula id="Ch1.E16" content-type="numbered"><mml:math id="M148" display="block"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mtext>s</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mtext>s</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mtext>t</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mtext>t</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> is a soil moisture threshold below which resuspension is
activated, and <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mtext>s</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the maximum of soil moisture ponderated by the
ratio of water and soil densities as
            <disp-formula id="Ch1.E17" content-type="numbered"><mml:math id="M151" display="block"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mtext>s</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>water</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> is a constant value representing the maximum soil moisture
value, <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>water</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the water density (assumed to be unity) and <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
is the dry porous soil density. <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is itself estimated as
            <disp-formula id="Ch1.E18" content-type="numbered"><mml:math id="M156" display="block"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>soil</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mtext>satsm</mml:mtext><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>D</mml:mi><mml:mtext>mine</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where satsm <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> is the saturation volumetric moisture content and
<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>mine</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula>, the non-porous soil density.</p>
      <p>This resuspension flux is calculated only for model cells having a non-zero
urban land use. This flux is thus ponderated in the whole cell by considering
the relative surface of the urban area. Finally, the flux is projected onto
the model size distribution considering that two-thirds of the flux is in the fine
mode, one-third in the coarse mode. The fine and coarse modes are those defined for
the anthropogenic emissions fluxes for particulate matter.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Processes and chemistry</title>
<sec id="Ch1.S5.SS1">
  <title>Integration of the SAPRC chemical scheme</title>
<sec id="Ch1.S5.SS1.SSS1">
  <title>The general gas-phase mechanism</title>
      <p>Two gas-phase chemical schemes were implemented in the CHIMERE model. The
most detailed chemical scheme, called MELCHIOR1, represents the oxidation of
around 80 gaseous species according to 300 reactions. The other mechanism,
called MELCHIOR2, is a reduced version of MELCHIOR1 developed using chemical
operators <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx14" id="paren.60"/>. MELCHIOR2 represents the
oxidation of around 40 gaseous species according to 120 reactions. These
chemical mechanisms are described in detail in <xref ref-type="bibr" rid="bib1.bibx65" id="text.61"/>.
Comparisons between MELCHIOR2 and three detailed mechanisms (MCM,
<xref ref-type="bibr" rid="bib1.bibx48" id="altparen.62"/>; SAPRC99, <xref ref-type="bibr" rid="bib1.bibx15" id="altparen.63"/>; GECKO-A,
<xref ref-type="bibr" rid="bib1.bibx3" id="altparen.64"/>) show a good agreement between the chemical schemes, with
differences in HCHO yields under low- and high-NO conditions lower than
20 % between the simulated results <xref ref-type="bibr" rid="bib1.bibx26" id="paren.65"/>. SAPRC99 chemical mechanism
had already been used in CHIMERE for particular studies
<xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx19" id="paren.66"/> but had never been distributed in a previous
CHIMERE release.</p>
      <p>Since the development of the MELCHIOR mechanisms in 2003, progress has been
made in atmospheric chemistry, particularly concerning the VOC ozonolysis.
One of the most up to date chemical schemes currently available in the
literature is the SAPRC-07 <xref ref-type="bibr" rid="bib1.bibx12" id="paren.67"/>. This mechanism is widely used
and evaluated against chamber data (<inline-formula><mml:math id="M159" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 2400 experiments). The detailed
SAPRC-07 chemical mechanism contains 207 species and 466 reactions. This
detailed mechanism has been used to develop several reduced mechanisms
designed for CTM applications <xref ref-type="bibr" rid="bib1.bibx13" id="paren.68"/>. The less reduced
mechanism, SAPRC-07A, has been implemented in the 2016 CHIMERE model. This
chemical scheme contains 72 species and 218 reactions. Two CHIMERE
simulations using SAPRC-07A and MELCHIOR2 chemical schemes respectively were
compared with AirBase measurements of NO<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and ozone over Europe during
summer 2005. The two chemical schemes were found to provide good correlation
with ozone measurements (Pearson's correlation rate 0.71 for both
mechanisms), with a slightly smaller bias for ozone concentrations obtained
using SAPRC-07A (8.19 ppb vs. 9.29 ppb, <xref ref-type="bibr" rid="bib1.bibx65" id="altparen.69"/>).</p>
</sec>
<sec id="Ch1.S5.SS1.SSS2">
  <title>The chlorine mechanism</title>
      <p>Over the past decade, several studies have shown that halogens (chlorine,
bromine, iodine) chemistry could influence ozone concentrations in the
troposphere. A recent review by <xref ref-type="bibr" rid="bib1.bibx91" id="text.70"/> presents the state of art
on this topic.</p>
      <p>The role of halogen chemistry was traditionally considered limited to the
marine boundary layer, recent observations have shown significant
ClNO<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations from few parts per trillion in mid-continental urban
environment <xref ref-type="bibr" rid="bib1.bibx70" id="paren.71"/> to 2000 ppt in the coastal marine boundary
layer <xref ref-type="bibr" rid="bib1.bibx82" id="paren.72"/>. This compound can act as a nitrogen reservoir with
a long lifetime capable of long-range transport. In previous versions of
CHIMERE, it was possible to have the chemical composition (Na, Cl,
H<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>SO<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) of sea-salt emissions based on mean composition described in
<xref ref-type="bibr" rid="bib1.bibx86" id="text.73"/>. The chlorine chemistry is not described in MELCHIOR
chemical schemes but <xref ref-type="bibr" rid="bib1.bibx13" id="text.74"/> proposed in SAPRC-07A a chlorine
mechanism with nine inorganic species and three products formed by the reactions
with VOCs. In SAPRC-07A, the chlorine chemistry is represented by 68
reactions, which have been implemented in CHIMERE-2017 only if the SAPRC-07A
mechanism is chosen by the user.</p>
</sec>
</sec>
<sec id="Ch1.S5.SS2">
  <title>Evolution of the aerosol scheme</title>
<sec id="Ch1.S5.SS2.SSS1">
  <title>Discretization of the aerosols size distribution</title>
      <p>The CHIMERE model accounts for the size distribution of the aerosols using a
size-bin approach: the aerosol particles for each of the model species are
distributed in <inline-formula><mml:math id="M164" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> size bins, covering a diameter range from <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>min</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Given these three user-defined parameters, a preprocessor computes
a sequence <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi>d</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfenced><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of cut-off diameters that meets the
following requirements:
<list list-type="bullet"><list-item>
      <p>2.5 and 10 <inline-formula><mml:math id="M168" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m are retained as cut-off diameters:
two indices <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> such that <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m and <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M174" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m must
exist.</p></list-item><list-item>
      <p>The sequence of the cut-off diameters covers exactly the size interval
requested by the user: <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mtext>min</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>N</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p></list-item></list></p>
      <p>The first requirement is set to allow for a meaningful evaluation of PM<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
and PM<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> in the model, since these quantities are typically available
from routine measurements.</p>
      <p>The default (and recommended) values of the extreme diameters are
<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>min</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m and <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m. Using
these values, the produced size distributions for various values of the
number of intervals <inline-formula><mml:math id="M183" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> are shown in Table <xref ref-type="table" rid="Ch1.T2"/> according to the
requested number of bins, <inline-formula><mml:math id="M184" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>. If <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula>, then the ratio of two
successive cut-off diameters is always such as <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>d</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:mo>/</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> : all
particles within a single size bin have comparable diameters at least within
a factor 2, which is a good way to ensure that all the size-depending
processes affecting the aerosols (sedimentation, coalescence, etc.) are
treated in a realistic way. However, when calculation speed is a critical
requirement, for example for operational pre-vision, the number of size bins
could be lowered to <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>, still ensuring that <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>d</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:mo>/</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Values of the diameter intervals, <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M190" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m), obtained for
<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>min</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M192" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M194" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, and 14
different values of bins (<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.9}[.9]?><oasis:tgroup cols="15">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="right"/>
     <oasis:colspec colnum="15" colname="col15" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col15" align="center">Number of aerosol bins </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8"><inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col12"><inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col13"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col14"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col15"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">0.01</oasis:entry>  
         <oasis:entry colname="col3">0.01</oasis:entry>  
         <oasis:entry colname="col4">0.01</oasis:entry>  
         <oasis:entry colname="col5">0.01</oasis:entry>  
         <oasis:entry colname="col6">0.01</oasis:entry>  
         <oasis:entry colname="col7">0.01</oasis:entry>  
         <oasis:entry colname="col8">0.01</oasis:entry>  
         <oasis:entry colname="col9">0.01</oasis:entry>  
         <oasis:entry colname="col10">0.01</oasis:entry>  
         <oasis:entry colname="col11">0.01</oasis:entry>  
         <oasis:entry colname="col12">0.01</oasis:entry>  
         <oasis:entry colname="col13">0.01</oasis:entry>  
         <oasis:entry colname="col14">0.01</oasis:entry>  
         <oasis:entry colname="col15">0.01</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">2.50</oasis:entry>  
         <oasis:entry colname="col3">0.16</oasis:entry>  
         <oasis:entry colname="col4">0.06</oasis:entry>  
         <oasis:entry colname="col5">0.04</oasis:entry>  
         <oasis:entry colname="col6">0.03</oasis:entry>  
         <oasis:entry colname="col7">0.03</oasis:entry>  
         <oasis:entry colname="col8">0.03</oasis:entry>  
         <oasis:entry colname="col9">0.02</oasis:entry>  
         <oasis:entry colname="col10">0.02</oasis:entry>  
         <oasis:entry colname="col11">0.02</oasis:entry>  
         <oasis:entry colname="col12">0.02</oasis:entry>  
         <oasis:entry colname="col13">0.02</oasis:entry>  
         <oasis:entry colname="col14">0.02</oasis:entry>  
         <oasis:entry colname="col15">0.02</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">10.00</oasis:entry>  
         <oasis:entry colname="col3">2.50</oasis:entry>  
         <oasis:entry colname="col4">0.40</oasis:entry>  
         <oasis:entry colname="col5">0.16</oasis:entry>  
         <oasis:entry colname="col6">0.09</oasis:entry>  
         <oasis:entry colname="col7">0.09</oasis:entry>  
         <oasis:entry colname="col8">0.06</oasis:entry>  
         <oasis:entry colname="col9">0.05</oasis:entry>  
         <oasis:entry colname="col10">0.05</oasis:entry>  
         <oasis:entry colname="col11">0.04</oasis:entry>  
         <oasis:entry colname="col12">0.03</oasis:entry>  
         <oasis:entry colname="col13">0.03</oasis:entry>  
         <oasis:entry colname="col14">0.03</oasis:entry>  
         <oasis:entry colname="col15">0.03</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">40.00</oasis:entry>  
         <oasis:entry colname="col3">10.00</oasis:entry>  
         <oasis:entry colname="col4">2.50</oasis:entry>  
         <oasis:entry colname="col5">0.63</oasis:entry>  
         <oasis:entry colname="col6">0.27</oasis:entry>  
         <oasis:entry colname="col7">0.27</oasis:entry>  
         <oasis:entry colname="col8">0.16</oasis:entry>  
         <oasis:entry colname="col9">0.11</oasis:entry>  
         <oasis:entry colname="col10">0.11</oasis:entry>  
         <oasis:entry colname="col11">0.08</oasis:entry>  
         <oasis:entry colname="col12">0.06</oasis:entry>  
         <oasis:entry colname="col13">0.06</oasis:entry>  
         <oasis:entry colname="col14">0.05</oasis:entry>  
         <oasis:entry colname="col15">0.05</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">40.00</oasis:entry>  
         <oasis:entry colname="col4">10.00</oasis:entry>  
         <oasis:entry colname="col5">2.50</oasis:entry>  
         <oasis:entry colname="col6">0.83</oasis:entry>  
         <oasis:entry colname="col7">0.83</oasis:entry>  
         <oasis:entry colname="col8">0.40</oasis:entry>  
         <oasis:entry colname="col9">0.23</oasis:entry>  
         <oasis:entry colname="col10">0.23</oasis:entry>  
         <oasis:entry colname="col11">0.16</oasis:entry>  
         <oasis:entry colname="col12">0.12</oasis:entry>  
         <oasis:entry colname="col13">0.12</oasis:entry>  
         <oasis:entry colname="col14">0.09</oasis:entry>  
         <oasis:entry colname="col15">0.07</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">40.00</oasis:entry>  
         <oasis:entry colname="col5">10.00</oasis:entry>  
         <oasis:entry colname="col6">2.50</oasis:entry>  
         <oasis:entry colname="col7">2.50</oasis:entry>  
         <oasis:entry colname="col8">1.00</oasis:entry>  
         <oasis:entry colname="col9">0.52</oasis:entry>  
         <oasis:entry colname="col10">0.52</oasis:entry>  
         <oasis:entry colname="col11">0.32</oasis:entry>  
         <oasis:entry colname="col12">0.21</oasis:entry>  
         <oasis:entry colname="col13">0.21</oasis:entry>  
         <oasis:entry colname="col14">0.16</oasis:entry>  
         <oasis:entry colname="col15">0.12</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">40.00</oasis:entry>  
         <oasis:entry colname="col6">10.00</oasis:entry>  
         <oasis:entry colname="col7">5.00</oasis:entry>  
         <oasis:entry colname="col8">2.50</oasis:entry>  
         <oasis:entry colname="col9">1.14</oasis:entry>  
         <oasis:entry colname="col10">1.14</oasis:entry>  
         <oasis:entry colname="col11">0.63</oasis:entry>  
         <oasis:entry colname="col12">0.40</oasis:entry>  
         <oasis:entry colname="col13">0.40</oasis:entry>  
         <oasis:entry colname="col14">0.27</oasis:entry>  
         <oasis:entry colname="col15">0.20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">8</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">40.00</oasis:entry>  
         <oasis:entry colname="col7">10.00</oasis:entry>  
         <oasis:entry colname="col8">5.00</oasis:entry>  
         <oasis:entry colname="col9">2.50</oasis:entry>  
         <oasis:entry colname="col10">2.50</oasis:entry>  
         <oasis:entry colname="col11">1.25</oasis:entry>  
         <oasis:entry colname="col12">0.73</oasis:entry>  
         <oasis:entry colname="col13">0.73</oasis:entry>  
         <oasis:entry colname="col14">0.48</oasis:entry>  
         <oasis:entry colname="col15">0.34</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">9</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">40.00</oasis:entry>  
         <oasis:entry colname="col8">10.00</oasis:entry>  
         <oasis:entry colname="col9">5.00</oasis:entry>  
         <oasis:entry colname="col10">5.00</oasis:entry>  
         <oasis:entry colname="col11">2.50</oasis:entry>  
         <oasis:entry colname="col12">1.35</oasis:entry>  
         <oasis:entry colname="col13">1.35</oasis:entry>  
         <oasis:entry colname="col14">0.83</oasis:entry>  
         <oasis:entry colname="col15">0.55</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">10</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">40.00</oasis:entry>  
         <oasis:entry colname="col9">10.00</oasis:entry>  
         <oasis:entry colname="col10">10.00</oasis:entry>  
         <oasis:entry colname="col11">5.00</oasis:entry>  
         <oasis:entry colname="col12">2.50</oasis:entry>  
         <oasis:entry colname="col13">2.50</oasis:entry>  
         <oasis:entry colname="col14">1.44</oasis:entry>  
         <oasis:entry colname="col15">0.92</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">11</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">40.00</oasis:entry>  
         <oasis:entry colname="col10">20.00</oasis:entry>  
         <oasis:entry colname="col11">10.00</oasis:entry>  
         <oasis:entry colname="col12">5.00</oasis:entry>  
         <oasis:entry colname="col13">3.97</oasis:entry>  
         <oasis:entry colname="col14">2.50</oasis:entry>  
         <oasis:entry colname="col15">1.51</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">12</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10">40.00</oasis:entry>  
         <oasis:entry colname="col11">20.00</oasis:entry>  
         <oasis:entry colname="col12">10.00</oasis:entry>  
         <oasis:entry colname="col13">6.30</oasis:entry>  
         <oasis:entry colname="col14">3.97</oasis:entry>  
         <oasis:entry colname="col15">2.50</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">13</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10">–</oasis:entry>  
         <oasis:entry colname="col11">40.00</oasis:entry>  
         <oasis:entry colname="col12">20.00</oasis:entry>  
         <oasis:entry colname="col13">10.00</oasis:entry>  
         <oasis:entry colname="col14">6.30</oasis:entry>  
         <oasis:entry colname="col15">3.97</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">14</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10">–</oasis:entry>  
         <oasis:entry colname="col11">–</oasis:entry>  
         <oasis:entry colname="col12">40.00</oasis:entry>  
         <oasis:entry colname="col13">20.00</oasis:entry>  
         <oasis:entry colname="col14">10.00</oasis:entry>  
         <oasis:entry colname="col15">6.30</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">15</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10">–</oasis:entry>  
         <oasis:entry colname="col11">–</oasis:entry>  
         <oasis:entry colname="col12">–</oasis:entry>  
         <oasis:entry colname="col13">40.00</oasis:entry>  
         <oasis:entry colname="col14">20.00</oasis:entry>  
         <oasis:entry colname="col15">10.00</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">16</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10">–</oasis:entry>  
         <oasis:entry colname="col11">–</oasis:entry>  
         <oasis:entry colname="col12">–</oasis:entry>  
         <oasis:entry colname="col13">–</oasis:entry>  
         <oasis:entry colname="col14">40.00</oasis:entry>  
         <oasis:entry colname="col15">20.00</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">17</oasis:entry>  
         <oasis:entry colname="col2">–</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10">–</oasis:entry>  
         <oasis:entry colname="col11">–</oasis:entry>  
         <oasis:entry colname="col12">–</oasis:entry>  
         <oasis:entry colname="col13">–</oasis:entry>  
         <oasis:entry colname="col14">–</oasis:entry>  
         <oasis:entry colname="col15">40.00</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S5.SS2.SSS2">
  <title>Wet diameter and density of aerosols</title>
      <p>In many processes, the diameter and the density of aerosols are used
(deposition, absorption, coagulation, etc.). These processes have to take
into account that the diameter and the density of aerosols change with
humidity due to the amount of water absorbed into the particles. Therefore,
the notion of wet diameter and wet density was introduced in CHIMERE-2017.
Particles are distributed between bins according to their dry diameter. The
wet diameter of the particles is calculated as a function of humidity and the
composition of the particle.</p>
      <p>To compute the wet density and wet diameter for each aerosol size bin, the
amount of water in each bins is computed with the “reverse mode” of ISORROPIA
(<xref ref-type="bibr" rid="bib1.bibx73" id="altparen.75"/>) by using the composition of particles, assuming that only
sulfate, nitrate, ammonium and sea salts have a high enough hygroscopicity
to absorb a significant amount of water. The density of the aqueous phase of
particles is computed according to composition following the method of
<xref ref-type="bibr" rid="bib1.bibx87" id="text.76"/>. The density and mass of the inorganic aqueous phase
(sulfate, nitrate, ammonium and sea salts and water) and the density and
mass of other compounds (dust, organics, black carbon, etc.) are used to
compute the total density of the particle and then its wet diameter, assuming
internal mixing for each size bin.</p>
</sec>
<sec id="Ch1.S5.SS2.SSS3">
  <title>Absorption</title>
      <p>Absorption is described by the “bulk equilibrium” approach of
<xref ref-type="bibr" rid="bib1.bibx74" id="text.77"/>. In this approach, all the bins for which condensation is
very fast are merged into a “bulk particulate phase”. Following
<xref ref-type="bibr" rid="bib1.bibx22" id="text.78"/>, a cutting diameter of 1.25 <inline-formula><mml:math id="M212" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m is used to
separate bins, which are inside the “bulk particle” (with a diameter lower
than the cutting diameter) from other bins.</p>
      <p>Thermodynamic models are used to compute the partitioning between the gas
phase and the bulk particle phase and estimate the gas-phase concentrations
at equilibrium. For semi-volatile inorganic species (sulfate, nitrate,
ammonium), concentrations <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mtext>eq</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at equilibrium are calculated using
ISORROPIA. This model also determines the water content of particles.
Equilibrium concentrations for the semi-volatile organic species are related
to particle concentrations through a temperature-dependent partition
coefficient <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mtext>p</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> (in m<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M216" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g<inline-formula><mml:math id="M217" 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>) <xref ref-type="bibr" rid="bib1.bibx75" id="paren.79"/>.</p>
      <p>Following <xref ref-type="bibr" rid="bib1.bibx74" id="text.80"/>, the mass of compounds condensing into
particles, <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>A</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, is redistributed over bins according to the kinetic
of condensation into each bin. For evaporation, the mass of compounds
evaporating from each bin is proportional to the amount of the compounds in
the bin.</p>
      <p>If the variation of particulate bulk concentration of compound <inline-formula><mml:math id="M219" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>,
<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, is greater than 0 (condensation):
              <disp-formula id="Ch1.E19" content-type="numbered"><mml:math id="M221" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mtext>bin</mml:mtext></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>k</mml:mi><mml:mtext>bin</mml:mtext></mml:msup></mml:mrow><mml:mrow><mml:msub><mml:mo>∑</mml:mo><mml:mi>j</mml:mi></mml:msub><mml:msubsup><mml:mi>k</mml:mi><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mi>i</mml:mi><mml:mtext>bin</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> is the kinetic of condensation given by <xref ref-type="bibr" rid="bib1.bibx86" id="text.81"/>:
              <disp-formula id="Ch1.E20" content-type="numbered"><mml:math id="M223" display="block"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mi>i</mml:mi><mml:mtext>bin</mml:mtext></mml:msubsup><mml:mo>=</mml:mo><mml:msup><mml:mi>N</mml:mi><mml:mtext>bin</mml:mtext></mml:msup><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:msubsup><mml:mi>D</mml:mi><mml:mtext>p</mml:mtext><mml:mtext>bin</mml:mtext></mml:msubsup><mml:msub><mml:mi>D</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>R</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mtext>Kn</mml:mtext><mml:mo>,</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mtext>bin</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> is the number of particles inside the bin, <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msubsup><mml:mi>D</mml:mi><mml:mtext>p</mml:mtext><mml:mtext>bin</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> the mean
diameter of the bin, <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the diffusion coefficient for species <inline-formula><mml:math id="M227" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> in air,
<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> its molecular weight and <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced open="(" close=")"><mml:mtext>Kn</mml:mtext><mml:mo>,</mml:mo><mml:mi mathvariant="italic">α</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> is the correction
due to non-continuum effects and imperfect surface accommodation.
<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mtext>Kn</mml:mtext><mml:mo>,</mml:mo><mml:mi mathvariant="italic">α</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> is computed with the transition regime formula of
<xref ref-type="bibr" rid="bib1.bibx32" id="text.82"/>.</p>
      <p>If the variation of particulate bulk concentration of compound <inline-formula><mml:math id="M231" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>,
<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, is negative (evaporation):
              <disp-formula id="Ch1.E21" content-type="numbered"><mml:math id="M233" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mtext>bin</mml:mtext></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mtext>bin</mml:mtext></mml:msubsup></mml:mrow><mml:mrow><mml:msub><mml:mo>∑</mml:mo><mml:mi>j</mml:mi></mml:msub><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>j</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            If a particle shrinks or grows due to condensation/evaporation, the
mass of this particle has to be redistributed over diameter bins. The mass
redistribution algorithm of <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx85" id="text.83"/> is used.</p>
</sec>
<sec id="Ch1.S5.SS2.SSS4">
  <title>Coagulation</title>
      <p>The flux of coagulation <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msubsup><mml:mi>J</mml:mi><mml:mrow><mml:mtext>coag</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>b</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> of a compound <inline-formula><mml:math id="M235" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> inside a bin <inline-formula><mml:math id="M236" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> is
computed with the size binning method of <xref ref-type="bibr" rid="bib1.bibx45" id="text.84"/>:
              <disp-formula id="Ch1.E22" content-type="numbered"><mml:math id="M237" display="block"><mml:mrow><mml:msubsup><mml:mi>J</mml:mi><mml:mrow><mml:mtext>coag</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>b</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>b</mml:mi></mml:munderover><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>b</mml:mi></mml:munderover><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi></mml:mrow><mml:mi>b</mml:mi></mml:msubsup><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>j</mml:mi></mml:msubsup><mml:msup><mml:mi>N</mml:mi><mml:mi>k</mml:mi></mml:msup><mml:mo>-</mml:mo><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mtext>p</mml:mtext><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mi>b</mml:mi></mml:msubsup><mml:mo movablelimits="false">∑</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mi>N</mml:mi><mml:mi>k</mml:mi></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mi>k</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> is the volumic number of particles in bin <inline-formula><mml:math id="M239" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the
coagulation kernel coefficient between bins <inline-formula><mml:math id="M241" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M242" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi></mml:mrow><mml:mi>b</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> the
partition coefficient (the fraction of the particle created from the
coagulation of bins <inline-formula><mml:math id="M244" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M245" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, which is redistributed into bin <inline-formula><mml:math id="M246" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>). The
coagulation kernel and the partition coefficients are calculated as described
in <xref ref-type="bibr" rid="bib1.bibx22" id="text.85"/>.</p>
</sec>
<sec id="Ch1.S5.SS2.SSS5">
  <title>Wet deposition</title>
      <p>For the in-cloud scavenging of particles, the deposition of particles is
assumed to be proportional to amount of water lost by precipitations. The
deposition flux is written as
              <disp-formula id="Ch1.E23" content-type="numbered"><mml:math id="M247" display="block"><mml:mrow><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mtext>d</mml:mtext><mml:msubsup><mml:mi>Q</mml:mi><mml:mi>l</mml:mi><mml:mi>k</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:msub><mml:mi>P</mml:mi><mml:mtext>r</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mtext>l</mml:mtext></mml:msub><mml:mi>h</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:msubsup><mml:mi>Q</mml:mi><mml:mi>l</mml:mi><mml:mi>k</mml:mi></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>r</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the precipitation rate released in the grid cell
(kg m<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M250" 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>), <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mtext>l</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> the liquid water content (kg m<inline-formula><mml:math id="M252" 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>), <inline-formula><mml:math id="M253" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula> the cell
thickness (m) and <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> an empirical uptake coefficient (in the
range 0–1) currently assumed to be 1. <inline-formula><mml:math id="M255" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M256" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> are respectively the bin
and composition subscripts.</p>
      <p>For the below-cloud scavenging of particles, particles are scavenged by
raining drops following <xref ref-type="bibr" rid="bib1.bibx38" id="text.86"/>. A polydisperse distribution of
raining drops is applied:

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M257" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E24"><mml:mtd/><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mn mathvariant="normal">1.98</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">5</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>A</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>P</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.384</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2.93</mml:mn></mml:msup><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.38</mml:mn><mml:msup><mml:mi>P</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.186</mml:mn></mml:mrow></mml:msup><mml:mi>R</mml:mi></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

              where
              <disp-formula id="Ch1.E25" content-type="numbered"><mml:math id="M258" display="block"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.047</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0436</mml:mn><mml:mi>ln⁡</mml:mi><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.00734</mml:mn><mml:mspace linebreak="nobreak" width="0.33em"/><mml:mo>(</mml:mo><mml:mi>ln⁡</mml:mi><mml:mi>P</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M259" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is the precipitation rate in mm h<inline-formula><mml:math id="M260" 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> and <inline-formula><mml:math id="M261" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> the radius of the droplet.
The below-cloud scavenging rate is written as
              <disp-formula id="Ch1.E26" content-type="numbered"><mml:math id="M262" display="block"><mml:mrow><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mtext>d</mml:mtext><mml:msubsup><mml:mi>Q</mml:mi><mml:mi>l</mml:mi><mml:mi>k</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mtext>d</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msubsup><mml:mi>Q</mml:mi><mml:mi>l</mml:mi><mml:mi>k</mml:mi></mml:msubsup><mml:munder><mml:mo movablelimits="false">∫</mml:mo><mml:mi>R</mml:mi></mml:munder><mml:mi mathvariant="italic">π</mml:mi><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi>u</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo><mml:mi>E</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>R</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M263" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the radius of the raindrop (in m), <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the radius of the particle
(in m), <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the terminal drop velocity (in m s<inline-formula><mml:math id="M266" 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>), <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mi>E</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) the collision
efficiency of a particle with a raindrop and <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (in m<inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) the raindrop
size distribution.</p>
</sec>
</sec>
<sec id="Ch1.S5.SS3">
  <title>Online calculation of photolysis rates using the Fast-JX module</title>
<sec id="Ch1.S5.SS3.SSS1">
  <title>Modeling strategy</title>
      <p>CHIMERE-2017 includes the module Fast-JX version 7.0b <xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx7" id="paren.87"/>
for the online calculation of the photolysis rates.
Fast-JX is a module that solves the equations of radiative transfer in an
atmospheric column taking into account the solar zenith angle, the vertical
profile of ozone and water-vapor concentrations, the ice and water clouds,
the radiative effect of scattering and absorption by aerosols and the surface
albedo.</p>
      <p>Following the recommendations of the Fast-JX developers, the effective size
of ice particles is estimated following <xref ref-type="bibr" rid="bib1.bibx39" id="text.88"/> as
<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>eff</mml:mtext><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">164</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mtext>IWC</mml:mtext><mml:mn mathvariant="normal">0.23</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mtext>eff</mml:mtext><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M272" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) is the effective radius of ice particles, and IWC is the ice
content of the atmospheric particles (g m<inline-formula><mml:math id="M273" 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>). Regarding water droplets,
their radius is estimated also following the recommendations of Fast-JX
developers, as 9.60 <inline-formula><mml:math id="M274" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for clouds at low altitudes (below 810 hPa),
12.68 <inline-formula><mml:math id="M275" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for high clouds (above 610 hPa), and linearly interpolated between
these two values for intermediate altitudes.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Taking into account the various factors affecting the photolysis
rates in CHIMERE-2013 and CHIMERE-2017.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">CHIMERE-2013</oasis:entry>  
         <oasis:entry colname="col3">CHIMERE-2017</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">SZA</oasis:entry>  
         <oasis:entry colname="col2">✓</oasis:entry>  
         <oasis:entry colname="col3">✓</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Altitude</oasis:entry>  
         <oasis:entry colname="col2">✓</oasis:entry>  
         <oasis:entry colname="col3">✓</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Clouds</oasis:entry>  
         <oasis:entry colname="col2">Parameterized</oasis:entry>  
         <oasis:entry colname="col3">✓</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Tropospheric ozone column</oasis:entry>  
         <oasis:entry colname="col2">Constant profile</oasis:entry>  
         <oasis:entry colname="col3">✓</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Stratospheric ozone column</oasis:entry>  
         <oasis:entry colname="col2">Constant profile</oasis:entry>  
         <oasis:entry colname="col3">Month- and latitude-dependant climatology</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Water-vapor concentration</oasis:entry>  
         <oasis:entry colname="col2">Constant profile</oasis:entry>  
         <oasis:entry colname="col3">✓</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Aerosol effect</oasis:entry>  
         <oasis:entry colname="col2">X</oasis:entry>  
         <oasis:entry colname="col3">✓</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Variable albedo</oasis:entry>  
         <oasis:entry colname="col2">X</oasis:entry>  
         <oasis:entry colname="col3">✓</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>Taking these factors (and their real-time simulated variations) into account,
Fast-JX computes the photolysis rates for all the relevant photochemical
reactions that have been designed in order to be easily introduced in
chemistry-transport models, which has already been done in various CTMs such
as PHOTOMCAT <xref ref-type="bibr" rid="bib1.bibx107" id="paren.89"/>, Polair3D
<xref ref-type="bibr" rid="bib1.bibx81" id="paren.90"/>, UKCA <xref ref-type="bibr" rid="bib1.bibx96" id="paren.91"/> and GEOS-Chem
<xref ref-type="bibr" rid="bib1.bibx28" id="paren.92"/>.</p>
      <p>CHIMERE-2013 did not take into account all of these processes
<xref ref-type="bibr" rid="bib1.bibx65" id="paren.93"/>, relying instead on a very simplified calculation of the
photolysis rates, as shown in Table <xref ref-type="table" rid="Ch1.T3"/>. The photolysis
rates were evaluated from tabulated values using TUV <xref ref-type="bibr" rid="bib1.bibx57" id="paren.94"/>,
depending only on the solar zenith angle and the altitude. These tabulated
values were calculated assuming a vertical profile for ozone that was typical
of the Northern Hemisphere midlatitudes, neglecting the effect of the
aerosols, and assuming a constant and uniform surface albedo. The effect of
clouds was parameterized as an exponential reduction of the photolysis rates
as a function of the cloud optical depth. While this set of approximations
was acceptable when the CHIMERE model was used as boundary-layer regional CTM
for locations in Europe, this had strong limitations for its use for
longer-term simulations including long-range transport in the free
troposphere over geographical domains including polar and/or tropical zones.
Photolysis rates for the photodissociation of ozone and nitrogen dioxide as
computed by the Fast-JX model inside CHIMERE have been compared favorably to
in situ measurements at the island of Lampedusa (Italy), even in presence of
aerosols <xref ref-type="bibr" rid="bib1.bibx60" id="paren.95"/></p>
</sec>
<sec id="Ch1.S5.SS3.SSS2">
  <title>Surface albedo</title>
      <p>The surface albedo in the near-UV spectral region, which is determinant for
the calculation of photolysis rates <xref ref-type="bibr" rid="bib1.bibx25" id="paren.96"/>, is highly
variable according to the land use and to the presence or absence of snow. It
is worth noting that the albedo of all the continental and oceanic surfaces
is smaller than 0.1, while the albedo of snow ranges from 0.3 to over 0.8
according to the type of land use. Therefore, the absence/presence of snow
will modulate very substantially the values of the modeled photolysis rates,
and therefore the concentration of trace gases such as ozone. Even though
strong ozone peaks generally occur in summertime in a context of strong
anthropogenic NO<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> production and in the absence of snow, it has
been shown recently that strong ozone peaks can occur in wintertime over the
continental United States in zones of oil and gas extraction due to the
combination of the strong anthropogenic concentrations of VOCs in a very
shallow boundary layer with relatively strong photolysis rates due to the
high surface albedo <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx84" id="paren.97"/>. It is
therefore important that CTMs take into account the impact of snow on surface
albedo, in order to be able to reproduce correctly such cases.</p>
      <p>The surface albedo in the UV band in CHIMERE-2017 is evaluated according to
<xref ref-type="bibr" rid="bib1.bibx52" id="text.98"/> in the absence of snow (tested as snow depth less than
1 cm), and from <xref ref-type="bibr" rid="bib1.bibx95" id="text.99"/> in the presence of snow, tested as
snow depth greater than 10 cm. Values are displayed in
Table <xref ref-type="table" rid="Ch1.T4"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><caption><p>Tabulated values from <xref ref-type="bibr" rid="bib1.bibx52" id="text.100"/> and
<xref ref-type="bibr" rid="bib1.bibx95" id="text.101"/> used for the calculation of the albedo in the UV band.
In the presence of sea ice over ocean, the albedo of the ice surface is
assumed equal to the <xref ref-type="bibr" rid="bib1.bibx95" id="text.102"/> value for <inline-formula><mml:math id="M277" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 10 cm of snow on
barren land.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">No.</oasis:entry>  
         <oasis:entry colname="col2">Land use</oasis:entry>  
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Albedo for snow </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M278" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 cm</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M279" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 10 cm</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">Agricultural land/crops</oasis:entry>  
         <oasis:entry colname="col3">0.035</oasis:entry>  
         <oasis:entry colname="col4">0.376</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">Grassland land-use type</oasis:entry>  
         <oasis:entry colname="col3">0.04</oasis:entry>  
         <oasis:entry colname="col4">0.720</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">Barren land/bare ground</oasis:entry>  
         <oasis:entry colname="col3">0.10</oasis:entry>  
         <oasis:entry colname="col4">0.836</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">Inland water</oasis:entry>  
         <oasis:entry colname="col3">0.07</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5</oasis:entry>  
         <oasis:entry colname="col2">Urban</oasis:entry>  
         <oasis:entry colname="col3">0.035</oasis:entry>  
         <oasis:entry colname="col4">0.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6</oasis:entry>  
         <oasis:entry colname="col2">Shrubs</oasis:entry>  
         <oasis:entry colname="col3">0.05</oasis:entry>  
         <oasis:entry colname="col4">0.558</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7</oasis:entry>  
         <oasis:entry colname="col2">Needleaf forest</oasis:entry>  
         <oasis:entry colname="col3">0.025</oasis:entry>  
         <oasis:entry colname="col4">0.278</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">8</oasis:entry>  
         <oasis:entry colname="col2">Broadleaf forest</oasis:entry>  
         <oasis:entry colname="col3">0.025</oasis:entry>  
         <oasis:entry colname="col4">0.558</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">9</oasis:entry>  
         <oasis:entry colname="col2">Ocean</oasis:entry>  
         <oasis:entry colname="col3">0.07</oasis:entry>  
         <oasis:entry colname="col4">0.836</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p>Refractive indices for the main aerosol species in CHIMERE at 200,
300, 400, 600 and 1000 nm.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Species</oasis:entry>  
         <oasis:entry rowsep="1" namest="col2" nameend="col6" align="center" colsep="1">Real part of the refractive index </oasis:entry>  
         <oasis:entry rowsep="1" namest="col7" nameend="col11" align="center">Imaginary part of the refractive index </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math id="M280" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">200 nm</oasis:entry>  
         <oasis:entry colname="col3">300 nm</oasis:entry>  
         <oasis:entry colname="col4">400 nm</oasis:entry>  
         <oasis:entry colname="col5">600 nm</oasis:entry>  
         <oasis:entry colname="col6">1000 nm</oasis:entry>  
         <oasis:entry colname="col7">200 nm</oasis:entry>  
         <oasis:entry colname="col8">300 nm</oasis:entry>  
         <oasis:entry colname="col9">400 nm</oasis:entry>  
         <oasis:entry colname="col10">600 nm</oasis:entry>  
         <oasis:entry colname="col11">1000 nm</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">PPM</oasis:entry>  
         <oasis:entry colname="col2">1.53</oasis:entry>  
         <oasis:entry colname="col3">1.52</oasis:entry>  
         <oasis:entry colname="col4">1.52</oasis:entry>  
         <oasis:entry colname="col5">1.51</oasis:entry>  
         <oasis:entry colname="col6">1.50</oasis:entry>  
         <oasis:entry colname="col7">8.0 <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">8.0 <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">8.0 <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">8.0 <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">8.0 <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">OCAR</oasis:entry>  
         <oasis:entry colname="col2">1.60</oasis:entry>  
         <oasis:entry colname="col3">1.60</oasis:entry>  
         <oasis:entry colname="col4">1.63</oasis:entry>  
         <oasis:entry colname="col5">1.63</oasis:entry>  
         <oasis:entry colname="col6">1.63</oasis:entry>  
         <oasis:entry colname="col7">1.2 <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">1.2 <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">7.7 <inline-formula><mml:math id="M288" display="inline"><mml:mrow><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></oasis:entry>  
         <oasis:entry colname="col10">1.2 <inline-formula><mml:math id="M289" display="inline"><mml:mrow><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></oasis:entry>  
         <oasis:entry colname="col11">7.0 <inline-formula><mml:math id="M290" display="inline"><mml:mrow><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></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">BCAR</oasis:entry>  
         <oasis:entry colname="col2">1.85</oasis:entry>  
         <oasis:entry colname="col3">1.85</oasis:entry>  
         <oasis:entry colname="col4">1.85</oasis:entry>  
         <oasis:entry colname="col5">1.85</oasis:entry>  
         <oasis:entry colname="col6">1.85</oasis:entry>  
         <oasis:entry colname="col7">7.1 <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">7.1 <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">7.1 <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">7.1 <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">7.1 <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SALT</oasis:entry>  
         <oasis:entry colname="col2">1.38</oasis:entry>  
         <oasis:entry colname="col3">1.38</oasis:entry>  
         <oasis:entry colname="col4">1.37</oasis:entry>  
         <oasis:entry colname="col5">1.36</oasis:entry>  
         <oasis:entry colname="col6">1.35</oasis:entry>  
         <oasis:entry colname="col7">8.7 <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">3.5 <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">6.6 <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">1.2 <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">2.6 <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SOA</oasis:entry>  
         <oasis:entry colname="col2">1.56</oasis:entry>  
         <oasis:entry colname="col3">1.56</oasis:entry>  
         <oasis:entry colname="col4">1.56</oasis:entry>  
         <oasis:entry colname="col5">1.56</oasis:entry>  
         <oasis:entry colname="col6">1.56</oasis:entry>  
         <oasis:entry colname="col7">3.0 <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">3.0 <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">3.0 <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">3.0 <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">3.0 <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">DUST</oasis:entry>  
         <oasis:entry colname="col2">1.53</oasis:entry>  
         <oasis:entry colname="col3">1.53</oasis:entry>  
         <oasis:entry colname="col4">1.53</oasis:entry>  
         <oasis:entry colname="col5">1.53</oasis:entry>  
         <oasis:entry colname="col6">1.53</oasis:entry>  
         <oasis:entry colname="col7">5.5 <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">5.5 <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">2.4 <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">8.9 <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">7.6 <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">H2SO4</oasis:entry>  
         <oasis:entry colname="col2">1.50</oasis:entry>  
         <oasis:entry colname="col3">1.47</oasis:entry>  
         <oasis:entry colname="col4">1.44</oasis:entry>  
         <oasis:entry colname="col5">1.43</oasis:entry>  
         <oasis:entry colname="col6">1.42</oasis:entry>  
         <oasis:entry colname="col7">1.0 <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">1.0 <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">1.0 <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">1.3 <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">1.2 <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">HNO3</oasis:entry>  
         <oasis:entry colname="col2">1.53</oasis:entry>  
         <oasis:entry colname="col3">1.53</oasis:entry>  
         <oasis:entry colname="col4">1.53</oasis:entry>  
         <oasis:entry colname="col5">1.53</oasis:entry>  
         <oasis:entry colname="col6">1.53</oasis:entry>  
         <oasis:entry colname="col7">6.0 <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">6.0 <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">6.0 <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">6.0 <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">6.0 <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NH3</oasis:entry>  
         <oasis:entry colname="col2">1.53</oasis:entry>  
         <oasis:entry colname="col3">1.52</oasis:entry>  
         <oasis:entry colname="col4">1.52</oasis:entry>  
         <oasis:entry colname="col5">1.52</oasis:entry>  
         <oasis:entry colname="col6">1.52</oasis:entry>  
         <oasis:entry colname="col7">5.0 <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">5.0 <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">5.0 <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">5.0 <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">5.0 <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">WATER</oasis:entry>  
         <oasis:entry colname="col2">1.35</oasis:entry>  
         <oasis:entry colname="col3">1.34</oasis:entry>  
         <oasis:entry colname="col4">1.34</oasis:entry>  
         <oasis:entry colname="col5">1.33</oasis:entry>  
         <oasis:entry colname="col6">1.33</oasis:entry>  
         <oasis:entry colname="col7">2.0 <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col8">2.0 <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9">1.8 <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10">3.4 <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col11">3.9 <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>The snow depth is read from the WRF or ECMWF meteorological inputs, if
available. If any other model is used, the snow cover will be assumed
inexistent. If the snow cover is thinner than 1 cm in the model, the
albedo is assumed to be that of dry land. If the snow cover is thicker than
10 cm, the albedo is assumed to be that of snow-covered land. In-between,
a linear interpolation is performed. Even though the case of sea ice is not
explicitly treated in <xref ref-type="bibr" rid="bib1.bibx95" id="text.103"/>, the assumption is made in
CHIMERE-2017 that the albedo of sea ice is the same as that of a thick layer
of snow covering barren land.</p>
</sec>
<sec id="Ch1.S5.SS3.SSS3">
  <title>Implementation</title>
      <p>The physical calculations performed by Fast-JX are split in two steps.</p>
      <p>First, the Legendre coefficients for the scattering phase function for all
aerosol species and diameter bin are calculated using Michael Mischenko's
spher.f code <xref ref-type="bibr" rid="bib1.bibx71" id="paren.104"/>, assuming sphericity of the aerosol
particles. This calculation is performed for each of the <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mtext>spec</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mtext>bins</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> species, and for the five wavelengths that are used for the Mie
scattering processes in Fast-JX. This step is performed once and for all
before the first simulation step, and lasts from a couple of seconds to a
couple of minutes according to the number of aerosol species and diameter
bins. The refractive indices reproduced in Table <xref ref-type="table" rid="Ch1.T5"/> are the
ones provided along with the model, essentially based on the values compiled
in the framework of the ADIENT
project<fn id="Ch1.Footn2"><p><uri>http://www.reading.ac.uk/adient/refractiveindices.html</uri>,
last access: 17 January 2017</p></fn>, as described by the corresponding technical report by
E. J. Highwood<fn id="Ch1.Footn3"><p><uri>www.reading.ac.uk/adient/REFINDS/Techreportjul09.doc</uri>,
last access: 17 January 2017</p></fn>. However, the specification of these parameters is in
a parameter file, and can be changed by the user to other values. In the same
way, the user can easily introduce more species in the optical treatment for
specific studies, e.g., volcanic ashes.</p>
      <p>After the preprocessing phase, at each time step and in each model column,
the Fast-JX module resolves the radiative transfer in the model atmospheric
column, computing the actinic fluxes at each model level and integrating them
over <inline-formula><mml:math id="M332" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> wavelength bins in order to produce accurate photolysis rates. In
the configuration adopted for CHIMERE-2017, <inline-formula><mml:math id="M333" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is set to 12, which is the
value recommended by Fast-JX developers for tropospheric studies. These 12
wavelength bins include the seven standard Fast-J wavelength bins from 291 to
850 nm, as described in <xref ref-type="bibr" rid="bib1.bibx110" id="text.105"/>. The seven standard Fast-J
wavelength bins are essentially concentrated from 291 to 412.5 nm, which is
the spectral band relevant for tropospheric photochemistry. Following the
recommendations of Fast-JX model developers, these seven standard wavelength bins
are complemented by five additional wavelength bins, from 202.5 to 291 nm,
which are only relevant in the upper tropical troposphere. In a typical
simulation framework, it has been found that the increase in computational
time relative to the simulation with tabulated photolysis rates is below
10 % <xref ref-type="bibr" rid="bib1.bibx60" id="paren.106"/>.</p>
</sec>
</sec>
<sec id="Ch1.S5.SS4">
  <title>Online calculation of lidar profiles</title>
      <p>During the model integration, some additional diagnostic variables are
estimated: (i) the clouds optical depth and the aerosol optical depth
(AOD) using the Fast-JX module, and (ii) the lidar profiles.</p>
      <p>The lidar profiles are calculated using the aerosol contributions only, as
detailed in <xref ref-type="bibr" rid="bib1.bibx94" id="text.107"/>. They are proposed as output after a
simulation and are designed to be directly comparable to ground-based or
spatial lidars. Three different profiles are calculated both in nadir and
zenith lidar configurations: (i) the attenuated scattering ratio, <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
(ii) <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">β</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>m</mml:mtext><mml:mo>′</mml:mo></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, respectively, the
total and molecular attenuated backscatter signal.</p>
      <p>By definition, <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is equal to 1 in absence of aerosols/clouds and when
the signal is not attenuated. In the presence of aerosols, <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> would be
greater than one. Following <xref ref-type="bibr" rid="bib1.bibx111" id="text.108"/>, this ratio is expressed as
            <disp-formula id="Ch1.E27" content-type="numbered"><mml:math id="M339" display="block"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi mathvariant="italic">β</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>m</mml:mtext><mml:mo>′</mml:mo></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p>The total attenuated backscatter signal <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">β</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is calculated as

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M341" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi mathvariant="italic">β</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mfenced close="]" open="["><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>m</mml:mtext><mml:mtext>sca</mml:mtext></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>p</mml:mtext><mml:mtext>sca</mml:mtext></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E28"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=""><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mfenced open="[" close=""><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mi>z</mml:mi><mml:mtext>TOA</mml:mtext></mml:munderover><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>m</mml:mtext><mml:mtext>ext</mml:mtext></mml:msubsup><mml:mo>(</mml:mo><mml:msup><mml:mi>z</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mtext>d</mml:mtext><mml:msup><mml:mi>z</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mfenced></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>+</mml:mo><mml:mfenced close=")" open="."><mml:mfenced open="." close="]"><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mi>z</mml:mi><mml:mtext>TOA</mml:mtext></mml:munderover><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>p</mml:mtext><mml:mtext>ext</mml:mtext></mml:msubsup><mml:mo>(</mml:mo><mml:msup><mml:mi>z</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mtext>d</mml:mtext><mml:msup><mml:mi>z</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mfenced></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            and the molecular attenuated backscatter signal <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>m</mml:mtext><mml:mo>′</mml:mo></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
as
            <disp-formula id="Ch1.E29" content-type="numbered"><mml:math id="M343" display="block"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>m</mml:mtext><mml:mo>′</mml:mo></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>m</mml:mtext><mml:mtext>sca</mml:mtext></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>m</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mi>z</mml:mi><mml:mtext>TOA</mml:mtext></mml:munderover><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>m</mml:mtext><mml:mtext>ext</mml:mtext></mml:msubsup><mml:mo>(</mml:mo><mml:msup><mml:mi>z</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mtext>d</mml:mtext><mml:msup><mml:mi>z</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>p</mml:mtext><mml:mtext>sca/ext</mml:mtext></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>m</mml:mtext><mml:mtext>sca/ext</mml:mtext></mml:msubsup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are the extinction/scattering
coefficients for particles and molecules (in km<inline-formula><mml:math id="M346" 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>). <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>m</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the molecular and particular extinction-to-backscatter
ratios (in sr). <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> represents the particles multiple scattering and
<inline-formula><mml:math id="M350" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> represents the distance between the emitter and the studied point. Note
that for the case of a space lidar the integration begins from the top of the
atmosphere (TOA) while for a ground lidar the integration begins from 0
(ground level) to <inline-formula><mml:math id="M351" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>. Further details about these calculations are provided
in <xref ref-type="bibr" rid="bib1.bibx94" id="text.109"/>.</p>
</sec>
</sec>
<sec id="Ch1.S6">
  <title>Model scores for two test cases over Europe</title>
      <p>The performance of CTMs is often evaluated by comparing simulation results to
data of measurements, either from routine networks
<xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx93" id="paren.110"/> or from dedicated field campaigns (e.g.,
<xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx77" id="altparen.111"/>). <xref ref-type="bibr" rid="bib1.bibx89" id="text.112"/> presented an overview of
performance evaluation studies for a large set of models and studied cases.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Performance statistics for the main model species and for daily
averaged values. The numbers on the right axes give the overall scores
(Pearson's correlation, MFE, and MFB), while the box plots show the
variability among the EMEP stations. The boxes extend from the lower- to upper-quartile values of the data. The center lines show the medians, and the red
squares show the means over stations. The whiskers indicate the 5 and 95
percentile values, and the values on the right axis of each panel are the
overall value of the considered indicator, i.e., merging all the stations into
a single statistical dataset as described in <xref ref-type="bibr" rid="bib1.bibx46" id="text.113"/>.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f08.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6"><caption><p>Number of EMEP stations per species and per season used for
performance statistics. Stations CH01, CH04, CH05, DE03, DE08, AT05, AT48, IT01,
IT04,
ES78 and DE44 were excluded from the analysis due to their topography difficult
to simulate with a 0.5<inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="center"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Species</oasis:entry>  
         <oasis:entry colname="col2">Winter</oasis:entry>  
         <oasis:entry colname="col3">Summer</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">O<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">96</oasis:entry>  
         <oasis:entry colname="col3">93</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">40</oasis:entry>  
         <oasis:entry colname="col3">34</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">SO<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">12</oasis:entry>  
         <oasis:entry colname="col3">27</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">26</oasis:entry>  
         <oasis:entry colname="col3">20</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">22</oasis:entry>  
         <oasis:entry colname="col3">16</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>A statistical evaluation with measurement data is performed for two 3-month-long
simulations with CHIMERE-2017: summer (June–August 2008) and winter
(January–March 2009). Each of the simulation periods analyzed were
preceded by a 15-day spin-up period. The simulation domain covers western and
central Europe at 0.5<inline-formula><mml:math id="M358" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution, with eight vertical sigma levels
between 997 and 500 hPa. The meteorological model used was WRF
3.6.1 with the same physical options as in <xref ref-type="bibr" rid="bib1.bibx67" id="paren.114"/>, xpat 45 km
resolution and boundary conditions from GFS (Global Forecast System) analyses. The emission data were
those from EMEP at 0.5<inline-formula><mml:math id="M359" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, and the boundary conditions for the
concentrations from the LMDz-INCA model for gases and chemically active
aerosols and from the GOCART model for dust. The simulation was performed
with the MELCHIOR2 chemical mechanism for gaseous species, 10 bins for
aerosol size distribution and the SOA (secondary organic aerosols) scheme of <xref ref-type="bibr" rid="bib1.bibx5" id="text.115"/>, 5 min
chemistry time step and the Van Leer numerical scheme for both horizontal
and vertical transport. The <xref ref-type="bibr" rid="bib1.bibx109" id="text.116"/> aerosol dry deposition and
<xref ref-type="bibr" rid="bib1.bibx56" id="text.117"/> resuspension schemes were used. The online coupling with
ISORROPIA model was used.</p>
      <p>The statistical scores are computed between modeled and observed daily
averaged values, using surface concentration measurements from the EMEP
monitoring sites, after filtering out the stations with complex topography
(CH01, CH04, CH05, DE03, DE08, AT05, AT48, IT01, IT04, ES78 and DE44) that cannot be
simulated appropriately at 0.5<inline-formula><mml:math id="M360" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution. Stations from the EMEP
monitoring sites have been chosen for this study because their location has
been selected in order to minimize local influences and be representative of
large areas <xref ref-type="bibr" rid="bib1.bibx100" id="paren.118"/>. For each simulation period only stations
containing at least 70 % of time series data were retained.</p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F8"/> shows the performance statistics for the main model
species. The number of EMEP stations used for each species for winter and
summer is shown in Table <xref ref-type="table" rid="Ch1.T6"/>. The standard metrics used for air
quality modeling <xref ref-type="bibr" rid="bib1.bibx89" id="paren.119"/> were employed, namely the Pearson's
correlation (PCOR), the mean fractional error (MFE) and the mean fractional
bias (MFB).</p>
      <p>Ozone shows the best scores among all the species, both for summer and
winter, with PCOR <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.70</mml:mn></mml:mrow></mml:math></inline-formula>, MFE <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> %, MFB <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> % in summer and PCOR <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula>,
MFE <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> %, MFB <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> % in winter. It also shows the smallest variability of
scores among the stations (93 available stations in summer and 96 in winter).
As noted by <xref ref-type="bibr" rid="bib1.bibx89" id="text.120"/>, the ozone overestimation often reported for
CTMs is related to the averaging over the hours with high and low
concentrations, so the scores are dominated by performance at low
concentrations, which occur much more often than high concentrations. Indeed,
the MFB computed from daily maximum ozone concentrations (not shown) is quite
lower: 1 % for summer and 7 % for winter.</p>
      <p>The NO<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> shows quite larger MFE: 62 % in summer and 53 % in winter, with a
large variability of both MFE and MFB between stations. The bias is negative
in winter, slightly positive in summer but with a high negative values
(NO<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> underestimation) at some stations. For this particular species, with
strong emissions horizontal gradients, the model resolution of 0.5<inline-formula><mml:math id="M369" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
is not enough even when surface concentrations are measured at the background
rural sites. Also, as discussed by <xref ref-type="bibr" rid="bib1.bibx97" id="text.121"/>, the negative bias
could be partly related to the general underestimation of the emissions in
the inventory used, especially during the traffic daily peaks. This is in
agreement with the relatively high correlation: 0.65 in winter and 0.41 in
summer. However, this would not explain why there is a small positive bias in
summer for most stations.</p>
      <p>The SO<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> shows the largest MFE for both summer (76 %) and winter (81 %) and
the lowest correlation in summer (0.20). It shows positive bias:
MFB <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula> % in winter and 14 % in summer. The difficulty in SO<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> simulation could be
related to the uncertainties in the emission vertical profiles, which is a
particularly sensitive factor in SO<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> modeling, because
industrial stack emissions represent a substantial part of SO<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
emissions <xref ref-type="bibr" rid="bib1.bibx78 bib1.bibx59" id="paren.122"/>. While some CTMs have
included a plume-in-grid model for subgrid treatment of point emissions
depending on the actual meteorological conditions and flux characteristics,
this is not the case of the CHIMERE model, which can also limit the
performance of the model regarding SO<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The
conversion of SO<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to sulfate can also be a source of error in
SO<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations, as mentioned by <xref ref-type="bibr" rid="bib1.bibx16" id="text.123"/> and
<xref ref-type="bibr" rid="bib1.bibx6" id="text.124"/>, who observed very different behavior of models far
from emission sources, probably due to the chemical mechanisms. The lower
correlation coefficient in summertime was found in all the CTMs examined in
<xref ref-type="bibr" rid="bib1.bibx6" id="text.125"/>.</p>
      <p>The performance for PM is affected by compensating effects of several
chemical components, such as dust, primary organics and secondary species
like sulfates, nitrates and SOA.</p>
      <p>The PM<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations are generally overestimated in winter
(MFB <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> %), with correlation values lower in winter (0.50) and summer
(0.23) than for the whole year, as reported by <xref ref-type="bibr" rid="bib1.bibx97" id="text.126"/>. In
summer the PM<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> bias is quite low MFB <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> %, and the MFE (42 %)
shows small variability between the stations.</p>
      <p>The PM<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula> concentrations show a larger overestimation than PM<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> in
winter (MFB <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> % vs. 12 % for PM<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>) and have also a positive bias in
summer (MFB <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> %). The winter correlation is higher though (0.65 vs. 0.50),
and its variability between the stations is smaller. The PM<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula>
overestimation can be associated to the overestimation of ammonium
(MFB <inline-formula><mml:math id="M388" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 77 % in summer and 65 % in winter) and sulfate (MFB <inline-formula><mml:math id="M389" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 32 % in summer
and 33 % in winter, not shown).</p>
      <p><xref ref-type="bibr" rid="bib1.bibx10" id="text.127"/> defined performance goals and criteria to be attained
by air quality models. Their performance goal is attained for particulate
matter when the MFE is less or equal to 50 %, and |MFB| is less than 30 %.
The performance criteria are attained when the MFE is less or equal to 75 %,
and |MFB| is less than 60 %. The performance goal is thus a more demanding
condition than the performance criteria.</p>
      <p>The PM<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> simulation satisfies the performance goal for both summer and
winter. As for PM<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula>, it satisfies the performance goal in summer and the
performance criteria in winter.</p>
</sec>
<sec id="Ch1.S7">
  <title>Application to the Puyehue–Cordon Caulle eruption (June 2011)</title>
      <p>A simulation with the present version of CHIMERE has been performed for the
Southern Hemisphere, from 15 May to 30 June 2011, a period covering the
eruption of Puyehue–Cordon Caulle (Chile). This eruption emitted an
important plume containing volcanic ashes and sulfur dioxide into the
troposphere and the lower stratosphere. This plume had severe
consequences on air traffic over Argentina as well as other countries in the
Southern Hemisphere. While the eruption began on 4 June, the plume went
around the entire Southern Hemisphere and was back in the vicinity of the
emission source by 14 June <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx49" id="paren.128"/>. This
volcanic eruption case provides a perfect test bed to evaluate the new
abilities of the CHIMERE model to simulate as accurately as possible
transport at hemispheric scale, including cases where the transported plume
undergoes a complete circumpolar trajectory around the South Pole.</p>
<sec id="Ch1.S7.SS1">
  <title>Model configuration</title>
      <p>The meteorological simulation has been performed using the WRF meteorological
model, version 3.5.1, on a simulation domain covering most of the Southern
Hemisphere at a resolution of about <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mn mathvariant="normal">55</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">55</mml:mn></mml:mrow></mml:math></inline-formula> km at 45<inline-formula><mml:math id="M393" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S. with 20
vertical levels from the surface to 100 hPa. For the gaseous chemistry, the
MELCHIOR-2 chemical mechanism has been used. The horizontal domain is
composed of 250 <inline-formula><mml:math id="M394" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 250 cells and is centered at the South Pole and covering the
entire extratropical Southern Hemisphere. The horizontal resolution varies
with latitude: 65 <inline-formula><mml:math id="M395" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 65 km (at the pole), 55 <inline-formula><mml:math id="M396" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 55 km
(at 45<inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S) and 36 <inline-formula><mml:math id="M398" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 36 km (at 25<inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S).</p>
      <p>The anthropogenic and biogenic emissions are taken into account and produced
from the HTAP dataset and MEGAN model, respectively. Mineral dust emissions
have not been included in this simulation, since the focus of this test bed
study was in the circumpolar transport of ash emissions from the Puyehue
volcano. The novelty of this simulation is the addition of the volcanic
emissions of SO<inline-formula><mml:math id="M400" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and volcanic ashes.</p>
</sec>
<sec id="Ch1.S7.SS2">
  <title>Volcanic emissions</title>
      <p>The total mass flux emitted in the form of particles has been represented
according to <xref ref-type="bibr" rid="bib1.bibx63" id="text.129"/>, using the following equation:
            <disp-formula id="Ch1.E30" content-type="numbered"><mml:math id="M401" display="block"><mml:mrow><mml:mtable columnspacing="1em" class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>H</mml:mi><mml:mn mathvariant="normal">2.00</mml:mn></mml:mfrac></mml:mstyle></mml:mfenced><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2.41</mml:mn></mml:mfrac></mml:mstyle></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M402" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is the column height expressed in kilometers, <inline-formula><mml:math id="M403" display="inline"><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> is the volume flux
expressed in m<inline-formula><mml:math id="M404" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M405" 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>, <inline-formula><mml:math id="M406" display="inline"><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> is the mass flux in
kg s<inline-formula><mml:math id="M407" 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> and <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2500</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M409" 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> is the ash
density. The altitude of the ash column has been taken from
<xref ref-type="bibr" rid="bib1.bibx20" id="text.130"/>, and is reproduced here in Table <xref ref-type="table" rid="Ch1.T7"/>. Only
the fine fraction of the emissions, with particle diameter smaller than
63 <inline-formula><mml:math id="M410" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m has been included. The conversion from the total emitted mass
flux has been performed using a conversion factor <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> taken from
<xref ref-type="bibr" rid="bib1.bibx63" id="text.131"/> for S2 type volcanoes, i.e., <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>. It is worth
noting at this point that the uncertainty on the value of this parameter,
<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, is very strong, with values ranging from 0.02 to 0.6 depending on
the characteristics of the considered eruption, and that therefore the
uncertainties on the resulting mass of fine ash is very strong. The particles
emitted with a diameter greater than 63 <inline-formula><mml:math id="M414" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m have not been considered
because they are not supposed to be relevant for long-range transport due to
their rapid sedimentation.</p>
      <p>The emitted ashes have been distributed evenly from the altitude of the
crater (2200 m a.s.l) to the altitude of the top of the column, obtained by
summing the column height to the altitude of the crater.</p>
      <p>The refractive indices of the volcanic ashes from <xref ref-type="bibr" rid="bib1.bibx23" id="text.132"/> have
been used. However, as these authors provided the refractive indices of
volcanic ash only in the visible, the values at 200 and 300 nm have been
taken as equal to the value given at 440 nm.</p>
      <p>The granulometry of the ashes are taken as 80 % in a coarse mode, with a
lognormal distribution centered at 30 <inline-formula><mml:math id="M415" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m and 20 % in a finer
mode with a lognormal distribution centered at 4 <inline-formula><mml:math id="M416" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m,
consistent with the results of <xref ref-type="bibr" rid="bib1.bibx27" id="text.133"/>.</p>
      <p>The SO<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mass flux has been taken from <xref ref-type="bibr" rid="bib1.bibx98" id="text.134"/>,
who prescribe mass flux estimates based on IASI measurements for the first
48 h of the eruption. Since these authors do not provide an estimation for
the subsequent part of the eruption, we assumed that the SO<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
fluxes are null after the first 48 h of the eruption. This hypothesis is
of course questionable, but nevertheless the study of <xref ref-type="bibr" rid="bib1.bibx98" id="text.135"/>
shows in a convincing way that most of the SO<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emission occurs
during the first 48 h of the eruption.</p>

<table-wrap id="Ch1.T7"><caption><p>Main characteristics of the volcanic emissions used for the
hemispheric simulation. H: column height (km); <inline-formula><mml:math id="M420" display="inline"><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>: volume flux
(m<inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M422" 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>); <inline-formula><mml:math id="M423" display="inline"><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>: Mass flux (kg s<inline-formula><mml:math id="M424" 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>); M: emitted mass
(kg); M<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:math></inline-formula>: emitted mass for the fraction with diameter <inline-formula><mml:math id="M426" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 63 <inline-formula><mml:math id="M427" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Day</oasis:entry>  
         <oasis:entry colname="col2">H</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M428" display="inline"><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M429" display="inline"><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">M</oasis:entry>  
         <oasis:entry colname="col6">M<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">04/06</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">794.9</oasis:entry>  
         <oasis:entry colname="col4">1.99 <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">06</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">2.86 <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1.14 <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">05/06</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">794.9</oasis:entry>  
         <oasis:entry colname="col4">1.99 <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">06</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">1.72 <inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">6.87 <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">06/06</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">794.9</oasis:entry>  
         <oasis:entry colname="col4">1.99 <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">06</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">1.72 <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">6.87 <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">07/06</oasis:entry>  
         <oasis:entry colname="col2">6.5</oasis:entry>  
         <oasis:entry colname="col3">133.0</oasis:entry>  
         <oasis:entry colname="col4">3.33 <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">2.87 <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1.15 <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">08/06</oasis:entry>  
         <oasis:entry colname="col2">7</oasis:entry>  
         <oasis:entry colname="col3">180.9</oasis:entry>  
         <oasis:entry colname="col4">4.52 <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">3.91 <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1.56 <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">09/06</oasis:entry>  
         <oasis:entry colname="col2">8.5</oasis:entry>  
         <oasis:entry colname="col3">405.0</oasis:entry>  
         <oasis:entry colname="col4">1.01 <inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">06</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">8.75 <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">3.50 <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">10/06</oasis:entry>  
         <oasis:entry colname="col2">8</oasis:entry>  
         <oasis:entry colname="col3">314.9</oasis:entry>  
         <oasis:entry colname="col4">7.87 <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">6.80 <inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">2.72 <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">11/06</oasis:entry>  
         <oasis:entry colname="col2">6.5</oasis:entry>  
         <oasis:entry colname="col3">133.0</oasis:entry>  
         <oasis:entry colname="col4">3.33 <inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">2.87 <inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1.15 <inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">12/06</oasis:entry>  
         <oasis:entry colname="col2">7</oasis:entry>  
         <oasis:entry colname="col3">180.9</oasis:entry>  
         <oasis:entry colname="col4">4.52 <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">3.91 <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1.56 <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">13/06</oasis:entry>  
         <oasis:entry colname="col2">8</oasis:entry>  
         <oasis:entry colname="col3">314.9</oasis:entry>  
         <oasis:entry colname="col4">7.87 <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">6.80 <inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">2.72 <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">14/06</oasis:entry>  
         <oasis:entry colname="col2">7</oasis:entry>  
         <oasis:entry colname="col3">240.9</oasis:entry>  
         <oasis:entry colname="col4">6.02 <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">5.20 <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">2.08 <inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">15/06</oasis:entry>  
         <oasis:entry colname="col2">8</oasis:entry>  
         <oasis:entry colname="col3">314.9</oasis:entry>  
         <oasis:entry colname="col4">7.87 <inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">6.80 <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">2.72 <inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">16/06</oasis:entry>  
         <oasis:entry colname="col2">7</oasis:entry>  
         <oasis:entry colname="col3">180.9</oasis:entry>  
         <oasis:entry colname="col4">4.52 <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">3.91 <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1.56 <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">17/06</oasis:entry>  
         <oasis:entry colname="col2">5.5</oasis:entry>  
         <oasis:entry colname="col3">66.5</oasis:entry>  
         <oasis:entry colname="col4">1.66 <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">1.44 <inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">5.75 <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">09</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">18/06</oasis:entry>  
         <oasis:entry colname="col2">5</oasis:entry>  
         <oasis:entry colname="col3">44.8</oasis:entry>  
         <oasis:entry colname="col4">1.12 <inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">05</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">9.68 <inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">09</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">3.87 <inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">09</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">19/06</oasis:entry>  
         <oasis:entry colname="col2">4</oasis:entry>  
         <oasis:entry colname="col3">17.7</oasis:entry>  
         <oasis:entry colname="col4">4.44 <inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">04</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">3.83 <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">09</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1.53 <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">09</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">20/06</oasis:entry>  
         <oasis:entry colname="col2">4</oasis:entry>  
         <oasis:entry colname="col3">17.7</oasis:entry>  
         <oasis:entry colname="col4">4.44 <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">04</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">3.83 <inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">09</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">1.53 <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">09</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<table-wrap id="Ch1.T8"><caption><p>H: column height (km); <inline-formula><mml:math id="M482" display="inline"><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>: Mass flux (kt d<inline-formula><mml:math id="M483" 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>); M:
emitted mass of SO<inline-formula><mml:math id="M484" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (kg).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="center"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Day</oasis:entry>  
         <oasis:entry colname="col2">H</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M485" display="inline"><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">M</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">04/06, 19:00–24:00 UTC</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">250</oasis:entry>  
         <oasis:entry colname="col4">5.21 <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">05/06, 00:00–08:00 UTC</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">250</oasis:entry>  
         <oasis:entry colname="col4">8.33 <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">05/06, 08:00–20:00 UTC</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">110</oasis:entry>  
         <oasis:entry colname="col4">5.50 <inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">05/06, 20:00–24:00 UTC</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">60</oasis:entry>  
         <oasis:entry colname="col4">1.00 <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">06/06, 00:00–19:00 UTC</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">60</oasis:entry>  
         <oasis:entry colname="col4">6.00 <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S7.SS3">
  <title>Analysis of the circumpolar transport</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Simulated AOD at 600 nm every 48 h from 4 June, 12:00 UTC to
14 June, 12:00 UTC.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Figure by L. Klüser, T. Ebersteder and J. Meyer-Arnek, published
in <xref ref-type="bibr" rid="bib1.bibx49" id="text.136"/> as Fig. 2, with the following description: “Ash
Optical Depth at 10 <inline-formula><mml:math id="M491" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m of the PCCE plume for 5 through 6
June. Descending (desc.) orbits represent morning observations, ascending
(asc.) orbits are from local evening. The black triangle indicates the
position of the volcano.”.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f10.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Figure by L. Klüser, T. Ebersteder and J. Meyer-Arnek, published
in <xref ref-type="bibr" rid="bib1.bibx49" id="text.137"/> as Fig. 3, with the following description: “The
PCCE ash plume on its way around the Southern Hemisphere for descending MetOp
orbits from 7, 8, 12 and 13 June.”.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/10/2397/2017/gmd-10-2397-2017-f11.png"/>

        </fig>

      <p>The simulation is initialized by climatological concentrations for aerosols
and trace gases from the LMDZ-INCA chemistry-transport model. These two
datasets are also used to provide the top and lateral boundary conditions
during the simulation. The simulation itself, covering the 15 May through
30 June, can be divided into two successive phases; first, from 14 May to
4 June, the model undergoes a spin-up period, with the concentrations of
gaseous and particulate species building up due to the emissions of sea-salt
and anthropogenic contaminants (Fig. <xref ref-type="fig" rid="Ch1.F9"/>a). At the end of this
spin-up period, significant AOD values, from 0.05 to 0.20 appear over the
Southern Ocean from 30 to 70<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, mostly due to sea-salt emissions,
consistent with the findings of <xref ref-type="bibr" rid="bib1.bibx47" id="text.138"/>, and consistent with
the satellite-based climatology of these authors, which represent a mean
value about 0.15 in these areas. In the subsequent time steps, the volcanic
ash plume from the Puyehue volcano becomes the dominant feature of the AOD
structure in the Southern Hemisphere. While it is difficult to compare the
simulated values to measured ones because of the large uncertainties on the
mass flux and size distribution of the volcanic ashes, it is possible to
compare the modeled trajectory of the ash plume with spaceborne
observations. For this purpose, we will rely on the space images and analyses
provided by <xref ref-type="bibr" rid="bib1.bibx49" id="text.139"/> and <xref ref-type="bibr" rid="bib1.bibx35" id="text.140"/>.
Figure <xref ref-type="fig" rid="Ch1.F9"/>b for 6 June at 12:00 UTC (08:00 a.m. local time) can be compared to
Fig. 2 of <xref ref-type="bibr" rid="bib1.bibx49" id="text.141"/>, reproduced here for the reader's
convenience as Fig. <xref ref-type="fig" rid="Ch1.F10"/>, which shows that at this time,
about 36 h after the onset of the eruption, the initial direction of the
volcanic plume is eastward, with a slight southward tilt, consistent with the
CHIMERE simulations. On 8 June (Fig. <xref ref-type="fig" rid="Ch1.F9"/>d), the simulated pattern
for ash transport also fits very well the pattern that is visible on
Fig. <xref ref-type="fig" rid="Ch1.F11"/> (also taken from <xref ref-type="bibr" rid="bib1.bibx49" id="altparen.142"/>), with the
initial portion of the ash plume traveling southward over the southern
Atlantic and reaching towards the southern Pacific ocean over Cape Horn, a
pattern that is observed in both CHIMERE observations and the satellite
observations. The older parts of the plume are located off the Atlantic
coasts of Argentina, also covering a large part of southern Brazil in the
model but not so in the infrared AOD data (Fig. <xref ref-type="fig" rid="Ch1.F11"/>).
Finally, the plume from the initial explosions are located at that time in
the southern ocean, in-between the southern tip of the African continent and
the Antarctic. It can also be observed that while the ash plume is continuous
in the CHIMERE simulation, it is not so in the observations. This reflects
the succession of explosive phases and quiet phases of the volcanic eruption,
while the flux imposed to the CHIMERE model is continuous, as discussed in
<xref ref-type="bibr" rid="bib1.bibx9" id="text.143"/>, who also present a possible workaround for this problem
by assimilation of satellite data.</p>
      <p>On 12 June, 4 days later, the leading edge of the volcanic ash plume is
located at about 135<inline-formula><mml:math id="M493" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W and 55<inline-formula><mml:math id="M494" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S above the southern Pacific
Ocean, while other portions of the plume are located above New Zealand,
Tasmania and areas of continental Australia and southern Africa
(Figs. <xref ref-type="fig" rid="Ch1.F9"/>e and <xref ref-type="fig" rid="Ch1.F11"/>). Later on, on 14 June, the
leading edge of the ash plume reaches back to the southern coasts of Chile,
as visible in both the simulation outputs (Fig. <xref ref-type="fig" rid="Ch1.F9"/>f) and the
report of <xref ref-type="bibr" rid="bib1.bibx35" id="text.144"/>, which indicates that part of the plume was
reaching South America from the Pacific ocean at that time between 35 and
50<inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S while other parts of the ash plume were located further to the
south, close to the Antarctic Peninsula, consistent with Fig. <xref ref-type="fig" rid="Ch1.F9"/>f.
On 14 June and during the following days, the plume from the initial
explosion of 4 June and the following days is passing over the Puyehue volcano
again, a fact that is correctly captured by the CHIMERE model.</p>
</sec>
</sec>
<sec id="Ch1.S8" sec-type="conclusions">
  <title>Conclusions</title>
      <p>CHIMERE-2017 is a model version, which presents several major improvements
compared to the earlier version described in <xref ref-type="bibr" rid="bib1.bibx65" id="text.145"/>. Compared to
the previous model version, anthropogenic emissions can be generated anywhere
in the world from the HTAP emission inventory, as well as mineral dust
emissions, which were available only for North Africa and the Arabian
Peninsula in previous model versions. With the same objective of permitting
the use of the model in any part of the world and at any scale from urban to
hemispheric scale, an important limitation of the model has been removed by
improving the internal treatment of the transport on the sphere, allowing for
domains up to the hemispheric scale, and possibly including a geographic
pole. Much attention has also been paid to the physical processes, including
a major update in the representation of the physical processes affecting the
aerosols, as well as the effect of the modeled aerosol on the photolytic
reaction rates. Other efforts have been made to improve the user's experience
with the model: this includes improvements in the parallelization of the
model in order to reduce computation time, as well as providing key
observable variables such as the aerosol optical depth and lidar backscatter
coefficients, which permits the user to compare the outputs of the model
directly with the results of remote sensing observations.</p>
      <p>These improvements pave the way to many applications that were out of reach
for the CHIMERE model up to now; CHIMERE 2017 has the necessary abilities to
give new insights on questions, such as the radiative impact of aerosols on
photochemistry, at all scales, from urban to hemispheric, including mineral
dust emissions and deposition anywhere in the world. The possibility to run
hemispheric simulations also allows for the use of this CTM for the study of
transport of aerosol and gaseous contamination plumes between the different
continent within a hemisphere. It contributes to bridge the gap between
global chemistry-transport models such as LMDz-INCA, MOZART or Geos-CHEM and
regional models. While CHIMERE has already been used successfully for the
evaluation of the decadal trends in air quality over Europe
<xref ref-type="bibr" rid="bib1.bibx18" id="paren.146"/>, as shown by the study <xref ref-type="bibr" rid="bib1.bibx113" id="text.147"/> with
the hemispheric version of CMAQ, hemispheric versions of regional CTMs are
tools that can be used successfully to study long-term trends in regional air
quality with added value from models simulated in regional domains, only
because they can perform a consistent simulation over the entire hemisphere
without relying on boundary conditions provided by global CTMs relying on
different assumptions and parameterizations.</p>
</sec>

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

      <p>The present article refers to the CHIMERE-2017 release,
which is freely available and provided under the GNU general public
license<fn id="Ch1.Footn4"><p><uri>http://www.gnu.org/copyleft/gpl.html</uri></p></fn>. The source code
along with the corresponding technical documentation can be obtained from the
CHIMERE web site at <uri>http://www.lmd.polytechnique.fr/chimere/</uri>.</p>
  </notes><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p>For anthropogenic emissions, EuroglobalMap products include Intellectual
Property from European National Mapping and Cadastral Authorities and is
licensed on behalf of these by EuroGeographics. Original product is freely
available at <uri>www.eurogeographics.org</uri>. Terms of the license available at
<uri>http://www.eurogeographics.org/form/topographic-data-eurogeographics</uri>.
The MACC boundary conditions dataset was provided by the MACC-II project,
which is funded through the European Union Framework 7 program. It is based
on the MACC-II reanalysis for atmospheric composition; full access to and
more information about this data can be obtained through the MACC-II web site
<uri>http://www.copernicus-atmosphere.eu</uri>.</p><p>We acknowledge C. Prigent for providing the global high-resolution aeolian
aerodynamic roughness length. The authors would also like to acknowledge
Lars Klüser, Thilo Ebersteder and Julian Meyer-Arnek for publishing the figures here
reused as Figs. <xref ref-type="fig" rid="Ch1.F10"/> and <xref ref-type="fig" rid="Ch1.F11"/> with an
Creative-Commons license, permitting reuse of these figures. We are also
indebted to the two anonymous reviewers, who helped improve a lot this study
from a scientific and editorial point of view.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Alex B. Guenther<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>CHIMERE-2017: from urban to hemispheric chemistry-transport modeling</article-title-html>
<abstract-html><p class="p">CHIMERE is a chemistry-transport model designed for regional atmospheric
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Statistical scores for a model simulation over continental Europe are
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test case for the new model version at hemispheric scale.</p></abstract-html>
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