<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</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/acp-23-3629-2023</article-id><title-group><article-title>Modelling the European wind-blown dust emissions and their impact on particulate matter (PM)  concentrations</article-title><alt-title>Wind-blown dust emissions over Europe</alt-title>
      </title-group><?xmltex \runningtitle{Wind-blown dust emissions over Europe}?><?xmltex \runningauthor{M. Liaskoni et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Liaskoni</surname><given-names>Marina</given-names></name>
          <email>marina-despoina.liaskoni@matfyz.cuni.cz</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Huszar</surname><given-names>Peter</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2954-8347</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bartík</surname><given-names>Lukáš</given-names></name>
          
        <ext-link>https://orcid.org/0009-0007-6675-3899</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Prieto Perez</surname><given-names>Alvaro Patricio</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Karlický</surname><given-names>Jan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2936-0785</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Vlček</surname><given-names>Ondřej</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Atmospheric Physics, Faculty of Mathematics and Physics, Charles University,  <?xmltex \hack{\break}?> V Holešovičkách 2, 18000, Prague 8, Czechia</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Czech Hydrometeorological Institute, Na Šabatce 2050/17, 143 00 Prague 12, Czechia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Marina Liaskoni (marina-despoina.liaskoni@matfyz.cuni.cz)</corresp></author-notes><pub-date><day>27</day><month>March</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>6</issue>
      <fpage>3629</fpage><lpage>3654</lpage>
      <history>
        <date date-type="received"><day>29</day><month>November</month><year>2022</year></date>
           <date date-type="rev-request"><day>9</day><month>January</month><year>2023</year></date>
           <date date-type="rev-recd"><day>22</day><month>February</month><year>2023</year></date>
           <date date-type="accepted"><day>3</day><month>March</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e136">Wind-blown dust (WBD) emitted by the Earth’s surface due to sandblasting can potentially have important effects on both climate and human health via interaction with solar and thermal radiation, reducing air quality. Apart from the main dust “centres” around the world, like deserts, dust can be emitted from partly vegetated mid- and high-latitude areas like Europe if certain conditions are suitable (strong winds, bare soil, reduced soil moisture, etc.). Using a wind-blown dust model (WBDUST) along with a chemical transport model (Comprehensive Air-quality model with Extensions, CAMx) coupled to a regional climate model (Weather Research and Forecasting, WRF), this study is one of the first to provide a model-based estimate of such emissions over Europe as well as the long-term impact of WBD emissions on the total particulate matter (PM) concentrations for the 2007–2016 period.</p>

      <p id="d1e139">We estimated average WBD emissions of about 0.5 and 1.5 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in fine and coarse modes. Maximum emissions occur over Germany, where the average seasonal fine- and coarse-mode emission flux can reach 0.5 and 1 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. Large variability is seen in the averaged daily emissions with values of up to 2 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the coarse-mode aerosol on selected days.</p>

      <p id="d1e220">The WBD emissions increased the modelled winter PM<inline-formula><mml:math id="M4" 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="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations by up to 10 and 20 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, especially over Germany, where the highest emissions occur. The impact on other seasons is lower. Much higher impacts are modelled, however, on selected days when occasionally the urban PM<inline-formula><mml:math id="M7" 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="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations are increased by more than 50 and 100 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The comparison with measurements revealed that if WBD is considered, the summer biases are reduced; however, the winter PM is overestimated even more greatly (so the bias increases). We identified a strong overestimation of the modelled wind speed (the maximum daily wind is almost 2 times higher in WRF than the measured ones) suggesting that WBD emissions are also overestimated – hence the enhanced winter PM biases.</p>

      <p id="d1e298">Moreover, we investigated the secondary impacts of the crustal composition of fine WBD particles on secondary inorganic aerosol (SIA): sulfates (PSO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>), nitrates (PNO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and ammonium (PNH<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>). Because the water pH value, and thus the uptake of the gaseous precursors of SIA, is perturbed and because the increased aerosol surface serves as an oxidation site, we modelled seasonal PSO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and PNO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations increased by up to 0.1 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and PNH<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> ones decreased by up to <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, especially during winter. In terms of average daily impact, these numbers can, however, reach much larger values of up to 1–2 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for sulfates and nitrates, while the decrease in ammonium due to WBD can reach <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on selected days. The sensitivity test on the choice of the inorganic equilibrium model (ISORROPIA vs. EQuilibrium Simplified Aerosol Model V4, EQSAM) showed that if EQSAM is used, the impact on SIA is slightly stronger (by a few 10 %) due to larger number of cations considered for water pH in EQSAM.</p>

      <p id="d1e453">Our results have to be regarded as a first estimate of the long-term WBD emissions and the related effects on PM over Europe. Due to the strong positive wind bias and hence strong WBD emissions, we should consider<?pagebreak page3630?> these results as an upper bound. More sensitivity studies involving the impact of the driving meteorological fields, WBD model choice and the input data used to describe the land surface need to be carried out in future to better constrain these emissions.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Grantová Agentura, Univerzita Karlova</funding-source>
<award-id>298822</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Technology Agency of the Czech Republic</funding-source>
<award-id>SS02030031</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Univerzita Karlova v Praze</funding-source>
<award-id>260581</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Klima- und Energiefonds</funding-source>
<award-id>ACRP11-KR18AC0K14686</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e465">Wind-blown dust (WBD) emitted by the Earth's surface can have a significant effect on both climate and human health by reducing air quality. It affects the climate directly and indirectly by scattering solar radiation, modifying the cloud properties and inducing precipitation as it can also serve as cloud-condensation nuclei <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx59" id="paren.1"/>. Additionally, exposure to high levels of dust particles can have severe effects on human health in the respiratory and the cardiac system <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx41" id="paren.2"/>.</p>
      <p id="d1e474">One of the major WBD emitters of concern in Europe (but also globally) is the Sahara, which contributes up to 50 % of dust emissions globally. Sahara dust is a major contributor to European atmospheric pollution as well, and its levels are critically high in southern Europe, while light dust episodes are often detected above central and western Europe <xref ref-type="bibr" rid="bib1.bibx68" id="paren.3"/>. Other natural sources can be wildfires, which due to intense turbulence can generate dust emissions <xref ref-type="bibr" rid="bib1.bibx66" id="paren.4"/>. WBD can be emitted also by non-vegetated areas containing fine and loose sediments when strong winds occur. Human activities contribute significantly to increasing dust generation too. Destruction of soil crust and vegetation removal in semi-arid regions, changing cultivation patterns, and new transport pathways are some of the most impactful anthropogenic activities <xref ref-type="bibr" rid="bib1.bibx6" id="paren.5"/>.</p>
      <p id="d1e486">With climate change, dust emissions are anticipated to increase in the future <xref ref-type="bibr" rid="bib1.bibx76" id="paren.6"/>. Modified climate conditions (with the associated weather patterns) and changes in land use are the main factors affecting the dust emissions. If dry periods between the precipitation events are prolonged, then the soil of the surface is going to be susceptible to strong winds, resulting in an increase in dust emissions. <xref ref-type="bibr" rid="bib1.bibx29" id="text.7"/> assessed how the anthropogenic contribution to the emissions has affected the probability of droughts in Europe. Their results stress that the drought risk for southern Europe has already increased, although the results for central Europe are inconclusive. <xref ref-type="bibr" rid="bib1.bibx60" id="text.8"/> used two precipitation indices and showed significant increases in drought likelihood for southern Europe and decreases in likelihood in the total area of the north, resulting in values that are dependent on the geographical domain and can shift the spatially averaged values for all of Europe. On the other hand, many studies have shown that fine particles can be transported over long distances through the atmosphere and can elevate particulate matter (PM) levels in different areas of the continent, far from the source area <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx24 bib1.bibx77" id="paren.9"/>. Hence, mineral dust emissions must be examined in connection with both the main dust centres (like the Sahara) but also in relation to emissions over non-arid areas like Europe, where the temporal distribution of precipitation and denser vegetation normally prevents the necessary soil drying for such emissions. Indeed, as said above, in a changing climate, such conditions can be more frequent.</p>
      <p id="d1e501">Over Europe, very few studies accounted for the local (i.e. not advected from other continents) dust emissions. Recently, <xref ref-type="bibr" rid="bib1.bibx49" id="text.10"/> identified potential dust sources over Europe (among other areas). <xref ref-type="bibr" rid="bib1.bibx44" id="text.11"/> gave a detailed model-based estimate for the spatial and temporal variation in such emission using a mesoscale weather model (MM5) as the meteorological driver. They, however, did not compute their contribution to the total PM concentrations. <xref ref-type="bibr" rid="bib1.bibx65" id="text.12"/> calculated the emission from natural erosion and resuspension over Europe and found significant model (CHIMERE) improvement when these emissions accounted for PM. However, <xref ref-type="bibr" rid="bib1.bibx65" id="text.13"/> only considered two seasons in a selected year without taking long-term effects into account. Similarly, <xref ref-type="bibr" rid="bib1.bibx5" id="text.14"/> considered a strong European dust event originating in Ukraine, but this cannot be considered representative of the long term. Recently, <xref ref-type="bibr" rid="bib1.bibx37" id="text.15"/> looked at urban dust over Europe and calculated its impact on PM levels. Moreover, they also accounted for the impact on the formation of secondary aerosols. They showed that the urban dust source can be significant and can potentially reduce model biases. However, they were not interested in other dust sources, e.g. those originating from soils in rural/natural areas, and they  only looked at 1 month and did not provide a long-term estimate.</p>
      <p id="d1e524">Motivated by this, here we present a novel study to quantify the long-term dust emissions for present-day conditions over central Europe using a regional climate model coupled with a chemical transport model along with a WBD model for dust fluxes. For the correct modelling of the potential future evolution of WBD, it is crucial to first evaluate the models' ability to resolve their present-day magnitude and the associated impact on the total PM concentrations.  Our study focuses on the long-term impact during a 10-year period, which allows us to obtain a representative pattern of the temporal and spatial distribution of the WBD emissions and their overall impact on PM levels. Moreover, this study will also look at the secondary impact of WBD particles on secondary aerosol components focusing on the inorganic aerosol. Indeed, there is an indication that the composition of dust<?pagebreak page3631?> particles can have an indirect impact on nitrates, sulfates and ammonia <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx40 bib1.bibx67 bib1.bibx48 bib1.bibx37 bib1.bibx69" id="paren.16"/> either by acting as a surface for heterogeneous reactions (e.g. <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx69" id="altparen.17"/>) or through the dust particles' ion composition and modulation of aqueous reactions that form nitrates and sulfates <xref ref-type="bibr" rid="bib1.bibx37" id="paren.18"/>, representing an indirect pathway of impacting the overall PM levels.
In this study, the main interest will be the quantification of WBD contribution to urban PM levels as urban areas already experience adverse air-pollution episodes, and it is of interest to calculate how natural emissions like WBD can potentially contribute to urban PM concentrations.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods and data</title>
      <p id="d1e544">To achieve the goals of the study, we applied the chemical transport model CAMx (Comprehensive Air-quality model with Extensions) offline, driven by the regional climate model Weather Research and Forecasting (WRF). The emissions of wind-blown dust were calculated by the wind-blown dust (WBDUST) emissions model. All these models are described in detail below.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Dust model</title>
      <p id="d1e554">The dust emission scheme WBDUST used here is based on the study by <xref ref-type="bibr" rid="bib1.bibx42" id="text.19"/>, who updated a new dust emission scheme based on the approach of <xref ref-type="bibr" rid="bib1.bibx2" id="text.20"/>. This scheme combines meteorological parameters with descriptions of land cover type, clay fraction of the soil, the vegetation cover, the topography factor and the chemical composition. From the land cover data, “barren or sparsely vegetated” grid fractions are identified as land capable of dust emissions. The clay fraction is used to calculate the sandblasting efficiency, which increases exponentially with a clay fraction of up to 20 %; beyond that it is considered constant. Another important parameter influencing the dust emissions is the amount of vegetation. Quantitatively it is expressed as the total area of the leaves relative to the surface area called leaf area index (LAI). In the WBDUST model, no emissions are considered for LAI <inline-formula><mml:math id="M22" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.35, while full emissions occur at zero LAI with a linear dependence between. In the dust module, LAI is converted to the vegetation factor (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">veg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) defined as
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M24" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">veg</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>min⁡</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">LAI</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mn mathvariant="normal">0.35</mml:mn></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Consequently, the vegetation factor takes values between 0 and 1, where 0 corresponds to full emissions (no vegetation) and 1 means no emissions (i.e. full vegetation). To avoid the situation where the average LAI over a grid cell is higher than 0.35 leading to zero dust emissions, although the grid cell may contain fractions with lower LAI that would otherwise emit some dust, we first converted LAI data into fveg data retaining the same resolution. Only after this step did we redistribute them onto the model grid cell. With this approach, we accounted for the potentially dust-emitting surface fractions with limited vegetation. The maps in Fig. <xref ref-type="fig" rid="Ch1.F1"/> represent the WBDUST input data, namely the clay fraction and the LAI-converted vegetation factor for January and July, taken from the middle of the decade of interest (the year 2010).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e622">The input data for the clay fraction in percent <bold>(a)</bold> and the vegetation factor for January and July (<bold>b</bold> and <bold>c</bold>, respectively) based on MODIS 2010 LAI data.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f01.png"/>

        </fig>

      <?pagebreak page3632?><p id="d1e640">The emission flux for dust in the size mode <inline-formula><mml:math id="M25" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> in WBDUST is calculated by the following equation:
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M26" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mrow><mml:mi mathvariant="normal">emis</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>c</mml:mi><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub></mml:mrow><mml:mi>g</mml:mi></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub><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:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">landcover</mml:mi></mml:msub><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">veg</mml:mi></mml:msub><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi>N</mml:mi><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">topo</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where <inline-formula><mml:math id="M27" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is an empirical constant (here <inline-formula><mml:math id="M28" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.5), <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> is the surface friction velocity, <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the threshold surface friction velocity,  <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">landcover</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the barren land fraction, <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">veg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the vegetation factor, <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is the sandblasting efficiency, <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">air</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the air density, <inline-formula><mml:math id="M35" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is the gravitational acceleration, <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mass fraction emitted into the mode <inline-formula><mml:math id="M37" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M38" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the normalization factor and, finally, <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">topo</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the topography factor parameter, which enhances the representation of emissions which are generated in valleys and basins. The equation for the threshold surface friction velocity can be found analytically in <xref ref-type="bibr" rid="bib1.bibx42" id="text.21"/>.</p>
      <p id="d1e895">WBDUST is based on Fortran and is provided as a preprocessing tool along with the CAMx code (<uri>https://www.camx.com/download/support-software/</uri>; <xref ref-type="bibr" rid="bib1.bibx70" id="altparen.22"/>). It is driven by WRF meteorological data (see below), while the required parameters are described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Driving meteorological model</title>
      <p id="d1e914">To drive the dust model with meteorological data as well as to drive the chemical transport model used, the WRF (Weather Research and Forecasting) model version 4 <xref ref-type="bibr" rid="bib1.bibx58" id="paren.23"/> was used. In WRF, the radiation processes are parameterized by the RRTMG scheme <xref ref-type="bibr" rid="bib1.bibx35" id="paren.24"/>; microphysical processes and convection were treated by the Purdue Lin scheme <xref ref-type="bibr" rid="bib1.bibx15" id="paren.25"/> and the Grell-3D scheme <xref ref-type="bibr" rid="bib1.bibx27" id="paren.26"/>, respectively. The description of surface layer processes followed the Eta model <xref ref-type="bibr" rid="bib1.bibx36" id="paren.27"/>. The land surface exchange is parameterized by the Noah <xref ref-type="bibr" rid="bib1.bibx14" id="paren.28"/>, and, finally, the  boundary-layer is resolved by the BouLac planetary boundary layer scheme <xref ref-type="bibr" rid="bib1.bibx7" id="paren.29"/>. Static land use data for WRF are derived from CORINE Land Cover data, version CLC 2012 <xref ref-type="bibr" rid="bib1.bibx12" id="paren.30"/>. For urban grid boxes, the single-layer urban canopy model (SLUCM; <xref ref-type="bibr" rid="bib1.bibx46" id="altparen.31"/>) is used with the same urban parameters as in <xref ref-type="bibr" rid="bib1.bibx38" id="text.32"/>. The choice of physical parameterizations is based on results from <xref ref-type="bibr" rid="bib1.bibx39" id="text.33"/>, who performed a series of sensitivity experiments to achieve the best possible model–observation agreement. To drive the regional climate in WRF, the ERA-Interim reanalysis <xref ref-type="bibr" rid="bib1.bibx56" id="paren.34"/> was used.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Chemical transport model</title>
      <p id="d1e963">To account for the transport of the emitted dust and its interaction with the aerosol physical and chemical processes, we used the chemical transport model CAMx  version 7.10 (Comprehensive Air-quality model with Extensions; <xref ref-type="bibr" rid="bib1.bibx21" id="altparen.35"/>). CAMx is an Eulerian chemical transport model that simultaneously treats photochemistry and aerosol processes. As gas-phase chemistry and secondary aerosol formation are closely linked and, moreover, in our study we are interested in the impact of dust on secondary inorganic aerosol, we considered the “full” gas-phase chemistry in CAMx using the CB6r5 mechanism (Carbon Bond revision 6) described in <xref ref-type="bibr" rid="bib1.bibx72" id="text.36"/> and <xref ref-type="bibr" rid="bib1.bibx19" id="text.37"/>.</p>
      <p id="d1e975"><?xmltex \hack{\newpage}?>For aerosol, a static two-mode (fine/coarse) approach called CF2E is adopted. Secondary inorganic aerosol is partitioned between gas and aerosol phases using either the ISORROPIA thermodynamic equilibrium model v1.7 <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx52" id="paren.38"/> or the EQSAM (EQuilibrium Simplified Aerosol Model V4) model <xref ref-type="bibr" rid="bib1.bibx50" id="paren.39"/>.
ISORROPIA considers sulfate (PSO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>), nitrate (PNO<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>), chloride (NCL), ammonium (PNH<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) and sodium (NA), with an update for calcium nitrate on dust particles, which is important for our study. Aqueous nitrate and sulfate formation in cloud water is computed using the RADM-AQ aqueous chemistry algorithm <xref ref-type="bibr" rid="bib1.bibx13" id="paren.40"/> with updated sulfur dioxide (<inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) oxidation reaction rates and a metal-catalysed oxidation mechanism. A semi-volatile equilibrium scheme called SOAP <xref ref-type="bibr" rid="bib1.bibx61" id="paren.41"/> is used to form secondary organic aerosol from condensable vapours.</p>
      <p id="d1e1030">Apart from the secondary (in)organic aerosol, primary elemental (PEC) and primary organic carbon (POA), CAMx further considers general primary aerosol categories for fine crustal materials (dust; FCRS) and other fine primary aerosols (FPRM) and also for their coarse counterparts (CCRS and CPRM). The two-mode CF2E approach optionally includes eight explicit fine-mode elemental species: iron (Fe), manganese (Mn), calcium (Ca), magnesium (Mg), potassium (K), aluminium (Al), silicon (Si) and titan (Ti) which can be either modelled or background values of which are used for chemical calculations. Calcium is an exception and is scaled from FCRS and FPRM.</p>
      <p id="d1e1033">The species FPRM, FCRS, CPRM and CCRS including the eight elements do not chemically decay. However, light scattering by them and other PM components affecting photochemistry is considered. Furthermore, the fine-mode species concentrations influence PM and heterogeneous gas chemistry. In RADM-AQ, the oxidation of <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to sulfate is catalytically enhanced by Fe and Mn, while Mg, Ca and K affect cloud pH, hence the solubility of <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Further Mg, Ca and K influence inorganic aerosol partitioning in EQSAM, and Ca reacts with <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> soil dust particles to form calcium nitrate (<inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in ISORROPIA. Fine aerosol species FPRM and FCRS along with the eight elements represent surface areas for heterogeneous reactions of <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The uptake of <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by dust particles is also considered using a humidity-dependent uptake coefficient <xref ref-type="bibr" rid="bib1.bibx75" id="paren.42"/>.</p>
      <p id="d1e1134">CAMx was driven using WRF output translated to CAMx meteorological inputs using the wrfcamx preprocessor that is supplied along with the CAMx code <uri>https://www.camx.com/download/support-software/</uri>. The coefficients of vertical eddy diffusion (Kv) are diagnosed in wrfcamx based on the similarity method adopted from the CMAQ model <xref ref-type="bibr" rid="bib1.bibx10" id="paren.43"/>. The choice of the method for the calculation of Kv is crucial as it greatly determines the species vertical transport, especially over urban environments <xref ref-type="bibr" rid="bib1.bibx34" id="paren.44"/>. They further showed that the CMAQ method<?pagebreak page3633?> represents the mid-range of the Kv intensities diagnosed from WRF output.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Experiments and data</title>
      <p id="d1e1155">A series of model simulations using CAMx coupled offline to WRF were carried out over a “larger” central European domain of the size of <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mn mathvariant="normal">189</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">165</mml:mn></mml:mrow></mml:math></inline-formula> grid cells (from France to Ukraine and northern Italy to Denmark) at a 9 km <inline-formula><mml:math id="M53" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 9 km horizontal resolution centred over Prague (Czechia) (50.075<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 14.44<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; Lambert conic conformal projection). WRF has 40 layers in the vertical reaching 50 hPa, with the lowermost layer about 30 m thick. CAMx uses 18 layers, with the top one at about 10 km. As the long-term impact of WBD emissions is analysed here, we covered a 10-year simulation period from 1 January 2007 to 31 December 2016.</p>
      <p id="d1e1195">As already said, WRF was driven with the ERA-Interim reanalysis, while for CAMx chemical initial and boundary conditions we choose the CAM-Chem global model data <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx20" id="paren.45"/>.</p>
      <p id="d1e1201">As anthropogenic emissions, the TNO-MACC-III data (an update of the MACC-II version; <xref ref-type="bibr" rid="bib1.bibx45" id="altparen.46"/>) were used from 2011 for the whole period. This high-resolution (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude, <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude; roughly 6 km <inline-formula><mml:math id="M60" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 6 km) European emission database provides annual emission estimates for NO<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, non-methane volatile organic compounds (NMVOCs), methane (<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), ammonia (<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), carbon monoxide (CO), and PM<inline-formula><mml:math id="M65" 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="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in 11 activity sectors. The annual emission totals were redistributed to model grid cells using the FUME (Flexible Universal Processor for Modeling Emissions) emission model (<xref ref-type="bibr" rid="bib1.bibx4" id="altparen.47"/>, <uri>http://fume-ep.org/</uri>, last access: 1 September 2022). FUME also took care of chemical speciation and time disaggregation of input, sector-based emissions, while the speciation and time disaggregation factors are based on <xref ref-type="bibr" rid="bib1.bibx53" id="text.48"/> and <xref ref-type="bibr" rid="bib1.bibx64" id="text.49"/>. The output of the FUME are CAMx-ready hourly emission data for the speciated model species. Biogenic emissions for CAMx are calculated offline with MEGANv2.1 (Model of Emissions of Gases and Aerosols from Nature) <xref ref-type="bibr" rid="bib1.bibx30" id="paren.50"/> based on WRF meteorology and vegetation characteristics following <xref ref-type="bibr" rid="bib1.bibx57" id="text.51"/>.</p>
      <p id="d1e1334">For the WBDUST module, the inputs were the following. The land cover was described using the high-resolution (100 m) CORINE CLC 2012 land cover data (<uri>https://land.copernicus.eu/pan-european/corine-land-cover</uri>; <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.52"/>) in combination with the United States Geological Survey (USGS) database for grid cells with no information from CORINE. This land use was used also for the CAMx dry-deposition scheme. The clay fraction data come from the Global Soil Dataset for use in Earth System Models (GSDE; <xref ref-type="bibr" rid="bib1.bibx55" id="altparen.53"/>). The GSDE provides the clay fraction of the topmost 4.5 cm of the soil layer, which is most relevant for the sandblasting efficiency. Leaf area index data are taken from MODIS post-processed data provided by <xref ref-type="bibr" rid="bib1.bibx73" id="text.54"/> at 30 s resolution (around 500 m over our domain) with an 8 d update interval. Year 2010 LAI was used for the whole period. As topography information to calculate the topography factor, the Global Multi-resolution Terrain Elevation Data 2010 <xref ref-type="bibr" rid="bib1.bibx26" id="paren.55"/> were used, with a spatial resolution of 0.1<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e1363">One of the important goals of the study is to examine the potential impact of WBD elemental composition (Na<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, K<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, Fe<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, Mn<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, Ca<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> and Mg<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>) on the formation of secondary inorganic aerosol. Therefore, we must also consider the chemical soil composition of the emitted dust. We estimated it based on fractions that were calculated by <xref ref-type="bibr" rid="bib1.bibx40" id="text.56"/>.</p>
      <p id="d1e1430">The emissions of wind-blown dust (with the model described above) were calculated for fine and coarse crustal material based on WRF output meteorology: surface temperature, soil moisture, snow water equivalent, wind, temperature, pressure and geopotential height of the two lowermost levels. WBD emissions were thus calculated on an hourly basis (in accordance with output frequency). The calculation was done for six elements (Ca, Fe, Mg, Mn, K and Na), while the mass fraction of fine dust that does not belong to any of the listed elements is emitted as general fine crustal material (FCRS). Coarse crustal material is also emitted as one general species (CCRS).</p>
      <p id="d1e1433">In order to account for the sensitivity of the method for gas partitioning into the aerosol phase as well as due to the fact that the CAMx crustal elements interact with aerosol chemistry differently, we conducted CAMx experiments for both ISORROPIA and EQSAM. With each of these, a pair of experiments was conducted: (i) one without considering WBD (including anthropogenic aerosol emissions as well as anthropogenic and biogenic gas-phase emissions) and (ii) one with WBD considered. The experiments are accordingly named ISORROPIA_noWBD, ISORROPIA_WBD, EQSAM_noWBD and EQSAM_WBD.</p>
      <?pagebreak page3634?><p id="d1e1436">In our analysis, we will examine the impact of WBD on PM<inline-formula><mml:math id="M74" 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="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations evaluated based on the ISORROPIA experiment pair. The EQSAM pair of simulations will be used to analyse the sensitivity of the impact of secondary aerosol chemistry. It is clear that if dust particles influence the heterogeneous aerosol chemistry, the total contribution of WBD will not simply be the sum of concentrations of FCRS and the listed elements, but instead, we have to account for the effect dust has on secondary aerosol. Therefore the impact will be calculated as follows:
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M76" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="normal">WBD</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="normal">noWBD</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          while <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="normal">WBD</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is calculated as
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M78" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="normal">WBD</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="normal">PEC</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">POA</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FPRM</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PNH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FCRS</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Mn</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="normal">noWBD</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>  is calculated as
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M80" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="normal">noWBD</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="normal">PEC</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">POA</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FPRM</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PNH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FCRS</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          while FCRS here stands for fine crustal material entering the domain trough boundaries (it is not directly emitted in anthropogenic sources). For the impact on PM<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, we added CPRM and CCRS to these sums to account for the anthropogenic and dust coarse-mode aerosol, i.e.
            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M82" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">CCRS</mml:mi><mml:mi mathvariant="normal">WBD</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="normal">WBD</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">CCRS</mml:mi><mml:mi mathvariant="normal">noWBD</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="normal">noWBD</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          Regarding <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">CCRS</mml:mi><mml:mi mathvariant="normal">noWBD</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as CCRS is not emitted in the noWBD simulations, this accounts for the crustal material entering the domain via the boundaries similar to the situation with FCRS above.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Modelled WBD emissions</title>
      <p id="d1e1792">In this section, the dust emission fluxes calculated using the WBDUST emission module are analysed.  The validation of the underlying meteorological conditions driving the emission model as well as the resulting PM concentrations are validated in the next section.</p>
      <p id="d1e1795">In Fig. <xref ref-type="fig" rid="Ch1.F2"/>, the two maps represent the seasonal average emissions for winter, the season with the highest emissions calculated. Winter-averaged FCRS dust emissions have values that can reach up to 0.5 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while CCRS dust emissions can reach values that exceed 1 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Increased emissions are noticed above western Germany, where much farmland and many agricultural areas are located. High emissions are also often concentrated around urban areas. Although the urban land use category is not regarded as bare soil, at the resolution used many of the urban grid boxes are only partly covered by urban land cover (only very few grid cells have an urban land cover of more than 50 %), and the rest is usually cropland which is potentially capable of dust emissions. As in the LAI input used (MODIS), it is often the cities which have sufficiently low LAI values (less than 0.35), it is there and over surrounding areas where the conditions for WBDUST emissions are met (low LAI and bare soil).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1854">Average WBD emission fluxes of fine crustal material (FCRS; <bold>a</bold>) and of coarse crustal material (CCRS; <bold>b</bold>) above central Europe in DJF for the 2007–2016 period (in <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><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:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Note that the colour bars differ.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f02.jpg"/>

        </fig>

      <p id="d1e1905">The seasonal variability was also assessed by calculating the average annual cycle of the monthly mean domain-averaged emissions. Figure <xref ref-type="fig" rid="Ch1.F3"/>  confirms that higher emissions occur in the winter season for both FCRS and CCRS, while the main emitting period begins in October and ends in April, proving that the presence of winds along with low LAI is the governing factor for dust emissions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1912">Domain-averaged annual cycle of monthly averages of FCRS and CCRS WBD emission fluxes for 2007–2016 (in <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><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:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f03.png"/>

        </fig>

      <p id="d1e1956">The temporal variability of these emissions on a daily and hourly basis  is shown in terms of the daily average values and the average diurnal cycle, respectively. Figure <xref ref-type="fig" rid="Ch1.F4"/> represents the time series of the domain-averaged daily averages. A high variability of daily emissions is seen and FCRS emissions can exceed 0.5 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while CCRS emissions can reach values higher than 1 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on specific days.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2015">Domain-averaged daily WBD emission fluxes of FCRS <bold>(a)</bold> and CCRS <bold>(b)</bold> for 2007–2016 (in <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><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:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f04.png"/>

        </fig>

      <p id="d1e2065">Figure <xref ref-type="fig" rid="Ch1.F5"/> shows the average diurnal cycle of the average hourly emission fluxes for different seasons.  Emissions peak at midday, which is associated with stronger winds and usually lower stability enabling the sandblasted soil to be lifted to produce emissions. The daily amplitudes are about 0.5–1 <inline-formula><mml:math id="M91" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and 2–4 <inline-formula><mml:math id="M93" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M94" 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> g s<inline-formula><mml:math id="M95" 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> km<inline-formula><mml:math id="M96" 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> for FCRS and CCRS, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2136">Domain-averaged diurnal cycle of hourly FCRS and CCRS WBD emission fluxes for different seasons for 2007–2016 (units are <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><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:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f05.png"/>

        </fig>

<sec id="Ch1.S3.SS1.SSSx1" specific-use="unnumbered">
  <title>Sensitivity to wind speeds and LAI</title>
      <p id="d1e2185">Knowing the strong dependence of WBD emission fluxes on wind speed values, we conducted two additional calculations. We reduced wind speeds entering the WBDUST model by a factor of 0.75 and 0.5 (motivated by the observed positive wind bias; see Sect. 3.2.1).</p>
      <p id="d1e2188">Further, we also tested the sensitivity to LAI (via the derived vegetation factor; see Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>) averaging from MODIS over grid cells with an urban land cover fraction, which, as already mentioned above, causes some locally increased WBD emissions near urban areas. In our setup, about 400 MODIS LAI data points fall into one CAMx grid cell, and we averaged LAI data only for the non-urban fraction of a grid cell by excluding the fraction of the lowest MODIS LAI values (usually zero) from  averaging that correspond to the urban fraction. In other words, we assumed that the higher LAI values within these 400 points are associated with the non-urban grid cell fraction.</p>
      <p id="d1e2193">The results of these sensitivity tests are presented in Fig. <xref ref-type="fig" rid="Ch1.F6"/>, where the spatial distribution of winter WBD emissions is presented for the default case as well as for the 0.75 and 0.5 reduction in wind speeds and finally for the modified LAI averaging. For the 0.75 reduction, emissions are reduced and reach up to 10–15 <inline-formula><mml:math id="M98" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M99" 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> g s<inline-formula><mml:math id="M100" 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> km<inline-formula><mml:math id="M101" 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>, with peaks of up to 20 <inline-formula><mml:math id="M102" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M103" 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> g s<inline-formula><mml:math id="M104" 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> km<inline-formula><mml:math id="M105" 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>. This means that through a 25 % reduction in wind speeds, emissions are  reduced by a factor of 2 to 3. With a much stronger reduction of 50 % of the original wind speeds, the resulting WBD emissions are reduced much more strikingly, i.e. by 2 orders of magnitude, and reach 30–50 <inline-formula><mml:math id="M106" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M107" 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> g s<inline-formula><mml:math id="M108" 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> km<inline-formula><mml:math id="M109" 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>. This means that on many of the modelled days, the wind speed values probably fell below the threshold friction velocity (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) resulting in zero emissions and implying very low DJF average emissions. Finally, for the modified LAI averaging, we see that emissions do indeed decrease near cities (by about 50 %), partly removing the artificial emission peaks.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2342">Average WBD emission fluxes of fine crustal material (FCRS) above central Europe in DJF for 2007–2016. From <bold>(a)</bold> to <bold>(d)</bold>: the default WBD emissions, WBD emissions after a <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.75</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> reduction in wind speeds, WBD emissions after a <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> reduction in wind speeds and emissions with LAI averaged only over non-urban grid cell fractions. Note that the units for the 0.5 wind reduction have an order of <inline-formula><mml:math id="M113" display="inline"><mml:mrow><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>, while the rest have an order of <inline-formula><mml:math id="M114" display="inline"><mml:mrow><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>.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f06.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page3635?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Validation</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Meteorological fields</title>
      <p id="d1e2424">As the modelled WBDUST emissions depend on meteorological conditions and the state of the soil, it is important to evaluate how well the driving model (WRF) represents the meteorological conditions that affect emission fluxes the most. In this section we compare the modelled temperature and wind speed with available measurements from the area of Czechia, while the soil moisture will be compared with satellite data. Although Czechia represents a small fraction of the entire domain, we expect that the model biases are representative of larger areas. Measured temperature and wind data are from 10 automated pollution monitoring stations (“Automatizovaný́ imisní monitoring”, AIM; <uri>https://www.chmi.cz</uri>, last access: 20 March 2023) of the Czech Hydrometeorological Institute
(CHMI) which, besides air quality data, also provides meteorological measurements.</p>
      <p id="d1e2430">Starting with the temperature, Fig. <xref ref-type="fig" rid="Ch1.F7"/>  represents the seasonal 2007–2016 averaged diurnal cycles. It is clear that the daily maximum temperatures are underestimated by the model during summer (JJA), while a better match is achieved in other seasons. The autumn (SON) data show some positive model bias too.  Regarding daily minima, the model tends to overestimate them for summer and autumn, while a clear underestimate occurs in winter (DJF).  The above-mentioned biases are always less than 2 <inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and usually less than 1 <inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2455">Comparison of modelled temperature diurnal profiles (solid) with measurements (dashed) from 10 Czech stations averaged over different seasons for the 2007–2016 period. Units in <inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f07.png"/>

          </fig>

      <p id="d1e2474">As, from a dust emission perspective, the maximum wind speeds are more relevant than the average ones, we also compared the modelled monthly mean of the maximum daily<?pagebreak page3636?> wind speeds averaged over 2007–2016. Results are depicted in Fig. <xref ref-type="fig" rid="Ch1.F8"/>. It is clear that the model captures the annual cycle of wind  reasonably well, with minima during the late summer and early autumn and maximum wind speeds during winter. However, a strong positive model bias is evident, reaching 2–4 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, except at the Praha-Ruzyně station and in Brno-Tuřany during summer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2498">Comparison of the modelled annual cycle of the monthly mean of maximum daily wind speeds  (solid red lines) with measurements (dashed blue lines) from 10 Czech stations averaged over the 2007–2016 period. Units are metres per second.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f08.png"/>

          </fig>

      <p id="d1e2507">Finally, the state of the soil in terms of moisture content is another key driver of emissions with low soil moisture promoting sandblasting and thus dust emissions. For this quantity, we used the ESA CCI SM v07.1 satellite-based dataset <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx28" id="paren.57"/> and plotted the spatial distribution (for the area of Czechia) of the 2007–2016 seasonal-mean volumetric soil moisture in Fig. <xref ref-type="fig" rid="Ch1.F9"/>. The satellite data show strong annual variation, with minimum values during summer (0–0.2 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), while the values are much higher during winter (0.4–0.6 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). This annual cycle is seen also in the modelled data but is much weaker, with summer soil moisture data slightly lower than the winter ones. It is also clear that the model overestimates the observed data, especially during summer, while the winter overestimation is small (with model values around 0.4–0.5 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), with some underestimation even limited to small regions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2577">Comparison of modelled seasonal volumetric soil moisture (upper row) with the ESA CCI soil moisture data (lower row) for the area of Czechia. Data averaged over 2007–2016. Units are cubic metres per cubic metre.</p></caption>
            <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f09.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>PM concentrations</title>
      <p id="d1e2594">In this section, our results will be validated by comparing the modelled PM<inline-formula><mml:math id="M122" 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="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations calculated by CAMx (by the ISORROPIA experiment pair) with observations. The observations were retrieved from AirBase, the European air quality database (<uri>https://discomap.eea.europa.eu/map/fme/AirQualityExport.htm</uri>; <xref ref-type="bibr" rid="bib1.bibx18" id="altparen.58"/>), with available “(sub)urban-background” stations from  selected European cities (i.e. Vienna, Prague, Berlin, Munich, Budapest and Warsaw). These observations were plotted along with WBD and noWBD CAMx concentrations, averaged daily for the six European cities for 2007–2016.</p>
      <p id="d1e2621">Figures <xref ref-type="fig" rid="Ch1.F10"/> and <xref ref-type="fig" rid="Ch1.F11"/> depict daily time series for modelled and measured PM<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations for selected European cities. In general, the time evolution of observed values is captured well by the model simulations. It is also seen that during the summer months, concentrations are usually underestimated. For winter, when the highest measured peaks occur (often exceeding 100 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), the model often fails to correctly capture the strength of the peak or its timing. It is also clear (and expected) that the WBD simulation generates the highest peaks, which are closer to the observed peaks, or even exceeds the observed ones, suggesting a positive model bias during winter.  For PM<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> (Figs. <xref ref-type="fig" rid="Ch1.F12"/> and <xref ref-type="fig" rid="Ch1.F13"/>) the situation is similar in underestimating summer values, while those for winter are also often overestimated in the WBD simulation when very strong peaks occur (up to several 100 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; e.g. for Prague, Munich or Warsaw, reaching almost 500 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) which are not seen in the noWBD simulation. This probably suggests a strong overestimation of the wind-blown dust emissions generating these peaks.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e2710">Averaged daily PM<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations of WBD (dashed black lines), noWBD (dashed orange lines) and the AirBase dataset (solid blue lines) for 2007–2016 (Vienna, Prague, Berlin). Units are micrograms per cubic metre.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f10.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e2731">Same as Fig. <xref ref-type="fig" rid="Ch1.F12"/> but for Munich, Budapest and Warsaw.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f11.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e2744">Averaged daily PM<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations of WBD (dashed black lines), noWBD (dashed orange lines) and the AirBase dataset (solid blue lines) for 2007–2016 (Vienna, Prague, Berlin). Units are micrograms per cubic metre.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f12.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e2764">Same as Fig. <xref ref-type="fig" rid="Ch1.F12"/> but for Munich, Budapest and Warsaw.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f13.png"/>

          </fig>

      <p id="d1e2775">In Figs. <xref ref-type="fig" rid="Ch1.F14"/> and <xref ref-type="fig" rid="Ch1.F15"/> the annual cycles of monthly mean concentrations for PM<inline-formula><mml:math id="M131" 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="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> are shown. All PM<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations fluctuate with the same trend, having their highest values during the winter and autumn seasons. The magnitude of the difference between the modelled data for WBD and noWBD and the observations is around 5–10 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Summer months are underestimated, while the inclusion of wind-blown dust reduces this negative bias. In winter the modelled values are overestimated in Munich and Prague, while they are underestimated in Berlin, Budapest and Warsaw. Depending on this, the inclusion of dust emissions increases (e.g. Prague, Munich) or decreases (Vienna, Warsaw, Budapest) the model bias.  In the case of PM<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, summer values are underestimated in noWBD simulation by about 10–20 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while this underestimation is clearly reduced to 0–10 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the WBD simulations. A different situation occurs in winter, when the noWBD model values underestimate the measured data (by a similar magnitude as in summer); however, the inclusion of dust emissions  increases model values such that a positive model bias is generated. This is in line with the daily time series seen above, when strong peaks occur in the WBD simulation, which are probably the main cause of these seasonal biases.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e2879">Annual cycle of monthly PM<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations of the WBD (dashed blue lines) and noWBD (dashed orange lines) simulations and the AirBase dataset (solid blue lines) for 2007–2016.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f14.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e2899">Annual cycle of monthly 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> concentrations of the WBD (dashed blue lines) and noWBD (dashed orange lines) simulations and the AirBase dataset (solid blue lines) for 2007–2016.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f15.png"/>

          </fig>

      <p id="d1e2917">To gain more quantitative information on whether the inclusion of WBD emissions reduced/enhanced the model biases, we calculated several statistical measures presented below.</p>
      <p id="d1e2920">In Tables <xref ref-type="table" rid="Ch1.T1"/> and <xref ref-type="table" rid="Ch1.T2"/>, the Pearson correlation coefficient, the root mean squared error (RMSE) and the normalized mean bias (NMB) were calculated for the daily mean concentrations of PM<inline-formula><mml:math id="M140" 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="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> in each city based on all values  and on seasonal selection. We calculated the statistics separately for WBD and noWBD ISORROPIA simulations.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2948">Annual and seasonal statistical measures (Pearson correlation, RMSE, NMB) for PM<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> for both WBD and noWBD ISORROPIA simulations calculated from the daily averages.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <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" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Cities</oasis:entry>

         <oasis:entry rowsep="1" colname="col2" morerows="1">PM<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">Pearson correlation </oasis:entry>

         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center" colsep="1">RMSE [<inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml: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 rowsep="1" namest="col7" nameend="col8" align="center">NMB </oasis:entry>

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

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

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

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

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

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

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

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

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

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

         <oasis:entry colname="col3">0.6901</oasis:entry>

         <oasis:entry colname="col4">0.7146</oasis:entry>

         <oasis:entry colname="col5">9.6728</oasis:entry>

         <oasis:entry colname="col6">9.2239</oasis:entry>

         <oasis:entry colname="col7">0.0590</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0168</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.6123</oasis:entry>

         <oasis:entry colname="col4">0.6628</oasis:entry>

         <oasis:entry colname="col5">12.7105</oasis:entry>

         <oasis:entry colname="col6">12.0459</oasis:entry>

         <oasis:entry colname="col7">0.0338</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0374</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.6448</oasis:entry>

         <oasis:entry colname="col4">0.6852</oasis:entry>

         <oasis:entry colname="col5">9.5338</oasis:entry>

         <oasis:entry colname="col6">8.7539</oasis:entry>

         <oasis:entry colname="col7">0.1260</oasis:entry>

         <oasis:entry colname="col8">0.0539</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.2534</oasis:entry>

         <oasis:entry colname="col4">0.3279</oasis:entry>

         <oasis:entry colname="col5">5.3553</oasis:entry>

         <oasis:entry colname="col6">5.1018</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M147" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1008</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1861</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1031</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M150" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1056</oasis:entry>

         <oasis:entry colname="col5">9.3356</oasis:entry>

         <oasis:entry colname="col6">9.3380</oasis:entry>

         <oasis:entry colname="col7">0.1069</oasis:entry>

         <oasis:entry colname="col8">0.0261</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.4778</oasis:entry>

         <oasis:entry colname="col4">0.6897</oasis:entry>

         <oasis:entry colname="col5">12.8227</oasis:entry>

         <oasis:entry colname="col6">9.4919</oasis:entry>

         <oasis:entry colname="col7">0.1088</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M151" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0748</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.3349</oasis:entry>

         <oasis:entry colname="col4">0.6860</oasis:entry>

         <oasis:entry colname="col5">17.9578</oasis:entry>

         <oasis:entry colname="col6">12.5324</oasis:entry>

         <oasis:entry colname="col7">0.1639</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M152" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0674</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.6195</oasis:entry>

         <oasis:entry colname="col4">0.7670</oasis:entry>

         <oasis:entry colname="col5">11.403</oasis:entry>

         <oasis:entry colname="col6">7.9885</oasis:entry>

         <oasis:entry colname="col7">0.1977</oasis:entry>

         <oasis:entry colname="col8">0.0405</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0557</oasis:entry>

         <oasis:entry colname="col4">0.3106</oasis:entry>

         <oasis:entry colname="col5">6.8719</oasis:entry>

         <oasis:entry colname="col6">6.1530</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1450</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3323</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.4001</oasis:entry>

         <oasis:entry colname="col4">0.6020</oasis:entry>

         <oasis:entry colname="col5">12.8983</oasis:entry>

         <oasis:entry colname="col6">10.2484</oasis:entry>

         <oasis:entry colname="col7">0.1168</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0370</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.6291</oasis:entry>

         <oasis:entry colname="col4">0.5342</oasis:entry>

         <oasis:entry colname="col5">10.7016</oasis:entry>

         <oasis:entry colname="col6">9.3405</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0340</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1321</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.4985</oasis:entry>

         <oasis:entry colname="col4">0.6772</oasis:entry>

         <oasis:entry colname="col5">16.1053</oasis:entry>

         <oasis:entry colname="col6">13.5632</oasis:entry>

         <oasis:entry colname="col7">0.0242</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1036</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.7176</oasis:entry>

         <oasis:entry colname="col4">0.7615</oasis:entry>

         <oasis:entry colname="col5">8.0587</oasis:entry>

         <oasis:entry colname="col6">7.4442</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0127</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0694</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.1372</oasis:entry>

         <oasis:entry colname="col4">0.3264</oasis:entry>

         <oasis:entry colname="col5">5.9892</oasis:entry>

         <oasis:entry colname="col6">6.0888</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2928</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3792</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.6232</oasis:entry>

         <oasis:entry colname="col4">0.7338</oasis:entry>

         <oasis:entry colname="col5">10.0036</oasis:entry>

         <oasis:entry colname="col6">8.5933</oasis:entry>

         <oasis:entry colname="col7">0.0402</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0676</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.4612</oasis:entry>

         <oasis:entry colname="col4">0.6236</oasis:entry>

         <oasis:entry colname="col5">12.9249</oasis:entry>

         <oasis:entry colname="col6">9.6508</oasis:entry>

         <oasis:entry colname="col7">0.2983</oasis:entry>

         <oasis:entry colname="col8">0.1740</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.4322</oasis:entry>

         <oasis:entry colname="col4">0.5893</oasis:entry>

         <oasis:entry colname="col5">17.1053</oasis:entry>

         <oasis:entry colname="col6">13.9096</oasis:entry>

         <oasis:entry colname="col7">0.3125</oasis:entry>

         <oasis:entry colname="col8">0.1935</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.4533</oasis:entry>

         <oasis:entry colname="col4">0.7364</oasis:entry>

         <oasis:entry colname="col5">14.3441</oasis:entry>

         <oasis:entry colname="col6">7.8727</oasis:entry>

         <oasis:entry colname="col7">0.4240</oasis:entry>

         <oasis:entry colname="col8">0.2427</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.1882</oasis:entry>

         <oasis:entry colname="col4">0.2981</oasis:entry>

         <oasis:entry colname="col5">5.6866</oasis:entry>

         <oasis:entry colname="col6">5.4625</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1405</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2118</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.4907</oasis:entry>

         <oasis:entry colname="col4">0.6378</oasis:entry>

         <oasis:entry colname="col5">11.6281</oasis:entry>

         <oasis:entry colname="col6">9.3698</oasis:entry>

         <oasis:entry colname="col7">0.4971</oasis:entry>

         <oasis:entry colname="col8">0.3857</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.6893</oasis:entry>

         <oasis:entry colname="col4">0.7269</oasis:entry>

         <oasis:entry colname="col5">10.7620</oasis:entry>

         <oasis:entry colname="col6">10.5346</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1001</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M168" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1690</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.6386</oasis:entry>

         <oasis:entry colname="col4">0.7330</oasis:entry>

         <oasis:entry colname="col5">15.6802</oasis:entry>

         <oasis:entry colname="col6">15.3078</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1673</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M170" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2432</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.6209</oasis:entry>

         <oasis:entry colname="col4">0.6372</oasis:entry>

         <oasis:entry colname="col5">9.6156</oasis:entry>

         <oasis:entry colname="col6">9.4123</oasis:entry>

         <oasis:entry colname="col7">0.1270</oasis:entry>

         <oasis:entry colname="col8">0.0683</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.2858</oasis:entry>

         <oasis:entry colname="col4">0.4302</oasis:entry>

         <oasis:entry colname="col5">7.3253</oasis:entry>

         <oasis:entry colname="col6">7.4711</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2976</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3852</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.6965</oasis:entry>

         <oasis:entry colname="col4">0.7488</oasis:entry>

         <oasis:entry colname="col5">10.0019</oasis:entry>

         <oasis:entry colname="col6">9.6213</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0883</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1473</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.5697</oasis:entry>

         <oasis:entry colname="col4">0.6999</oasis:entry>

         <oasis:entry colname="col5">14.4706</oasis:entry>

         <oasis:entry colname="col6">12.9026</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M175" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0922</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M176" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2027</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.3858</oasis:entry>

         <oasis:entry colname="col4">0.5844</oasis:entry>

         <oasis:entry colname="col5">20.6196</oasis:entry>

         <oasis:entry colname="col6">18.0144</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0556</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M178" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1545</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.5601</oasis:entry>

         <oasis:entry colname="col4">0.6769</oasis:entry>

         <oasis:entry colname="col5">12.5453</oasis:entry>

         <oasis:entry colname="col6">11.0780</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0504</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M180" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1512</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.1074</oasis:entry>

         <oasis:entry colname="col4">0.2841</oasis:entry>

         <oasis:entry colname="col5">7.4900</oasis:entry>

         <oasis:entry colname="col6">7.7487</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M181" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2877</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M182" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3993</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.5116</oasis:entry>

         <oasis:entry colname="col4">0.6932</oasis:entry>

         <oasis:entry colname="col5">14.1531</oasis:entry>

         <oasis:entry colname="col6">12.6325</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0691</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2021</oasis:entry>

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

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e4120">Annual and seasonal statistical measures (Pearson correlation, RMSE, NMB) for PM<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> for both the WBD and noWBD ISORROPIA simulations calculated from the daily averages.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <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" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Cities</oasis:entry>

         <oasis:entry rowsep="1" colname="col2" morerows="1">PM<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">Pearson correlation </oasis:entry>

         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center" colsep="1">RMSE [<inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>] </oasis:entry>

         <oasis:entry rowsep="1" namest="col7" nameend="col8" align="center">NMB </oasis:entry>

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

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

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

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

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

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

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

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

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

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

         <oasis:entry colname="col3">0.3836</oasis:entry>

         <oasis:entry colname="col4">0.6766</oasis:entry>

         <oasis:entry colname="col5">18.7462</oasis:entry>

         <oasis:entry colname="col6">13.1320</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M188" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0368</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M189" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2334</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.2464</oasis:entry>

         <oasis:entry colname="col4">0.6456</oasis:entry>

         <oasis:entry colname="col5">23.9934</oasis:entry>

         <oasis:entry colname="col6">17.2384</oasis:entry>

         <oasis:entry colname="col7">0.0002</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1995</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.3113</oasis:entry>

         <oasis:entry colname="col4">0.6709</oasis:entry>

         <oasis:entry colname="col5">20.0530</oasis:entry>

         <oasis:entry colname="col6">10.8410</oasis:entry>

         <oasis:entry colname="col7">0.0542</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M191" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1494</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.1730</oasis:entry>

         <oasis:entry colname="col4">0.4334</oasis:entry>

         <oasis:entry colname="col5">11.8061</oasis:entry>

         <oasis:entry colname="col6">10.9038</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M192" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2901</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4682</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.4095</oasis:entry>

         <oasis:entry colname="col4">0.6471</oasis:entry>

         <oasis:entry colname="col5">16.9706</oasis:entry>

         <oasis:entry colname="col6">12.7993</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0028</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M195" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2011</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0221</oasis:entry>

         <oasis:entry colname="col4">0.6734</oasis:entry>

         <oasis:entry colname="col5">38.0248</oasis:entry>

         <oasis:entry colname="col6">13.1536</oasis:entry>

         <oasis:entry colname="col7">0.2422</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M197" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2729</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M198" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1746</oasis:entry>

         <oasis:entry colname="col4">0.6618</oasis:entry>

         <oasis:entry colname="col5">51.8210</oasis:entry>

         <oasis:entry colname="col6">16.4792</oasis:entry>

         <oasis:entry colname="col7">0.3954</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M199" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2156</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.1036</oasis:entry>

         <oasis:entry colname="col4">0.7397</oasis:entry>

         <oasis:entry colname="col5">36.9492</oasis:entry>

         <oasis:entry colname="col6">9.7224</oasis:entry>

         <oasis:entry colname="col7">0.3559</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M200" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1433</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M201" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2398</oasis:entry>

         <oasis:entry colname="col4">0.3799</oasis:entry>

         <oasis:entry colname="col5">19.5380</oasis:entry>

         <oasis:entry colname="col6">12.1537</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M202" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0769</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M203" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5414</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M204" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0871</oasis:entry>

         <oasis:entry colname="col4">0.6478</oasis:entry>

         <oasis:entry colname="col5">35.9450</oasis:entry>

         <oasis:entry colname="col6">13.2200</oasis:entry>

         <oasis:entry colname="col7">0.1848</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M205" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2749</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.1914</oasis:entry>

         <oasis:entry colname="col4">0.6675</oasis:entry>

         <oasis:entry colname="col5">23.2173</oasis:entry>

         <oasis:entry colname="col6">12.4793</oasis:entry>

         <oasis:entry colname="col7">0.0210</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M206" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2660</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.0116</oasis:entry>

         <oasis:entry colname="col4">0.6662</oasis:entry>

         <oasis:entry colname="col5">35.7968</oasis:entry>

         <oasis:entry colname="col6">15.2236</oasis:entry>

         <oasis:entry colname="col7">0.2917</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M207" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1479</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.4385</oasis:entry>

         <oasis:entry colname="col4">0.6820</oasis:entry>

         <oasis:entry colname="col5">14.6269</oasis:entry>

         <oasis:entry colname="col6">10.8560</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M208" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0592</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M209" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2295</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M210" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0617</oasis:entry>

         <oasis:entry colname="col4">0.3630</oasis:entry>

         <oasis:entry colname="col5">13.7706</oasis:entry>

         <oasis:entry colname="col6">12.6158</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M211" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3419</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M212" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5571</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.1872</oasis:entry>

         <oasis:entry colname="col4">0.7033</oasis:entry>

         <oasis:entry colname="col5">22.0400</oasis:entry>

         <oasis:entry colname="col6">10.7076</oasis:entry>

         <oasis:entry colname="col7">0.0923</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M213" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1999</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.0310</oasis:entry>

         <oasis:entry colname="col4">0.5964</oasis:entry>

         <oasis:entry colname="col5">43.9461</oasis:entry>

         <oasis:entry colname="col6">11.2703</oasis:entry>

         <oasis:entry colname="col7">0.3812</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M214" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0682</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M215" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0408</oasis:entry>

         <oasis:entry colname="col4">0.5701</oasis:entry>

         <oasis:entry colname="col5">60.0883</oasis:entry>

         <oasis:entry colname="col6">15.9116</oasis:entry>

         <oasis:entry colname="col7">0.5412</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M216" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0147</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.0338</oasis:entry>

         <oasis:entry colname="col4">0.6998</oasis:entry>

         <oasis:entry colname="col5">53.9103</oasis:entry>

         <oasis:entry colname="col6">9.0543</oasis:entry>

         <oasis:entry colname="col7">0.5845</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M217" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0188</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M218" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0714</oasis:entry>

         <oasis:entry colname="col4">0.3725</oasis:entry>

         <oasis:entry colname="col5">14.4982</oasis:entry>

         <oasis:entry colname="col6">9.0200</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M219" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1439</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M220" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3852</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.0447</oasis:entry>

         <oasis:entry colname="col4">0.5966</oasis:entry>

         <oasis:entry colname="col5">31.3270</oasis:entry>

         <oasis:entry colname="col6">9.7045</oasis:entry>

         <oasis:entry colname="col7">0.4013</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M221" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0724</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.2518</oasis:entry>

         <oasis:entry colname="col4">0.5404</oasis:entry>

         <oasis:entry colname="col5">22.9692</oasis:entry>

         <oasis:entry colname="col6">19.7840</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M222" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2067</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M223" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3728</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.0837</oasis:entry>

         <oasis:entry colname="col4">0.5737</oasis:entry>

         <oasis:entry colname="col5">28.0308</oasis:entry>

         <oasis:entry colname="col6">22.3826</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M224" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1267</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M225" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3159</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.1778</oasis:entry>

         <oasis:entry colname="col4">0.4994</oasis:entry>

         <oasis:entry colname="col5">21.4223</oasis:entry>

         <oasis:entry colname="col6">14.2831</oasis:entry>

         <oasis:entry colname="col7">0.0082</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M226" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1924</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.0900</oasis:entry>

         <oasis:entry colname="col4">0.2540</oasis:entry>

         <oasis:entry colname="col5">19.8013</oasis:entry>

         <oasis:entry colname="col6">20.5941</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M227" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4760</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M228" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6156</oasis:entry>

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

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.3210</oasis:entry>

         <oasis:entry colname="col4">0.6106</oasis:entry>

         <oasis:entry colname="col5">22.0720</oasis:entry>

         <oasis:entry colname="col6">20.9144</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M229" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2610</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M230" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3965</oasis:entry>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">0.0882</oasis:entry>

         <oasis:entry colname="col4">0.6701</oasis:entry>

         <oasis:entry colname="col5">36.7845</oasis:entry>

         <oasis:entry colname="col6">16.7746</oasis:entry>

         <oasis:entry colname="col7">0.0725</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M231" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2971</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M232" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0847</oasis:entry>

         <oasis:entry colname="col4">0.6332</oasis:entry>

         <oasis:entry colname="col5">53.4165</oasis:entry>

         <oasis:entry colname="col6">19.8648</oasis:entry>

         <oasis:entry colname="col7">0.2436</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M233" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1765</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.1073</oasis:entry>

         <oasis:entry colname="col4">0.6210</oasis:entry>

         <oasis:entry colname="col5">33.1155</oasis:entry>

         <oasis:entry colname="col6">15.3840</oasis:entry>

         <oasis:entry colname="col7">0.0906</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M234" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2523</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3"><inline-formula><mml:math id="M235" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0759</oasis:entry>

         <oasis:entry colname="col4">0.4087</oasis:entry>

         <oasis:entry colname="col5">19.8315</oasis:entry>

         <oasis:entry colname="col6">15.5113</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M236" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2709</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M237" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5781</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

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

         <oasis:entry colname="col3">0.0182</oasis:entry>

         <oasis:entry colname="col4">0.6840</oasis:entry>

         <oasis:entry colname="col5">32.6067</oasis:entry>

         <oasis:entry colname="col6">15.8365</oasis:entry>

         <oasis:entry colname="col7">0.1072</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M238" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2739</oasis:entry>

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

      <?pagebreak page3638?><p id="d1e5354">The Pearson correlation measures the strength of the linear relationship between the modelled data and the observed ones. RMSE is the standard deviation of the residuals (prediction errors). It indicates how concentrated the data are around the line of best fit, and, finally, the normalized mean bias (NMB) indicates the average deviation of the modelled values from the observed ones.  These statistics are generated from all model–observation pairs from each station in a particular city.</p>
      <p id="d1e5357">The annual correlations of daily PM<inline-formula><mml:math id="M239" 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="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> with measurements are around 0.5–0.7 depending on the city, while the seasonal values are smallest for JJA (around 0.2–0.4) and highest in DJF and MAM. An important result is that the correlations are much smaller for the WBD simulations, which indicates that the wind-blown dust emissions are poorly correlated with the real dust emissions that occurred. This is seen also for the RMSE, which has values of between 5 and 20 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for PM<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and between 10–40 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for PM<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, and evidently, the WBD values are higher. On a seasonal level, the lowest RMSEs are encountered for JJA. In the case of mean bias, annual values for PM<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> are up to <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> for the noWBD simulations. In this case, the WBD brought improvement for some cities, resulting in a lower absolute NMB. This is especially due to JJA values where NMB improved for all cities. For PM<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, annual NMBs are also negative and reach <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn></mml:mrow></mml:math></inline-formula>. In this case, the WBD annual NMBs are also lower for almost every city compared to the noWBD<?pagebreak page3639?> values. On seasonal levels, the improvement, i.e. lower mean biases, is also evident.</p>
      <p id="d1e5473">The result raises the question of whether strong winds in WRF are responsible for overestimated WBD emissions and consequently PM concentration. To test this hypothesis, we chose Prague and selected those days when the model bias is positive and larger then 50 <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="Ch1.F12"/>). Then we used this mask and repeated the wind comparison from Sect. <xref ref-type="sec" rid="Ch1.S3.SS2.SSS1"/> but selecting only the stations in and around Prague and averaging only over such days. The results are depicted in Fig. <xref ref-type="fig" rid="Ch1.F16"/> for four stations. From the figure, it is clear that wind speeds for such days are greater than the average for all days and reach values of about 10–12 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is about 50 % higher than the averages for all days seen in Fig. <xref ref-type="fig" rid="Ch1.F8"/>. The bias, however, remained similar; i.e. the modelled wind speeds are 50 %–100 % than the observed ones. This means that the relative bias of model winds retained its magnitude throughout all of the days in the examined period. However, in Fig. <xref ref-type="fig" rid="Ch1.F6"/> we showed a very strong sensitivity of WBD emissions to wind speed, and a 50 % change can significantly change the emission magnitude and thus concentrations of PM.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16" specific-use="star"><?xmltex \currentcnt{16}?><?xmltex \def\figurename{Figure}?><label>Figure 16</label><caption><p id="d1e5525">Annual cycle of monthly averaged maximum daily wind speeds from model simulations (red) and observations from four station in or around Prague (blue); averaging is done for days when the daily PM<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> model bias is larger than 50 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f16.png"/>

          </fig>

      <p id="d1e5563">In summary, by including wind-blown dust emissions, the correlation of the daily PM<inline-formula><mml:math id="M253" 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="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> (hereafter represented as PM<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>) values decreased strongly and the RMSE increased. This can be explained by the many outliers in the modelled PM data. Both the correlation and the RMSE are very sensitive to such values. For NMB, improvement for PM<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> was achieved for almost all seasons and cities, while for PM<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, the improvement occurred only for the summer<?pagebreak page3640?> months. Overall it seems that model skill deteriorates when WBD emissions suddenly increase due to strongly overestimated winds.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Impact of WBD emissions on PM</title>
      <p id="d1e5625">In this section, the spatial distribution and the temporal evolution of the impact of dust emissions on PM<inline-formula><mml:math id="M258" 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="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations are presented (i.e. the <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from Eqs. <xref ref-type="disp-formula" rid="Ch1.E3"/> and <xref ref-type="disp-formula" rid="Ch1.E6"/>). Starting with the temporal evolution, Figs. <xref ref-type="fig" rid="Ch1.F17"/> and <xref ref-type="fig" rid="Ch1.F18"/> represent the WBD impact on PM<inline-formula><mml:math id="M262" 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="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations for selected cities in central Europe.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F17"><?xmltex \currentcnt{17}?><?xmltex \def\figurename{Figure}?><label>Figure 17</label><caption><p id="d1e5701">Daily averaged impact of wind-blown dust emissions on PM<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in micrograms per cubic metre for 2007–2016.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f17.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F18"><?xmltex \currentcnt{18}?><?xmltex \def\figurename{Figure}?><label>Figure 18</label><caption><p id="d1e5721">Daily averaged impact of wind-blown dust emissions on PM<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations in micrograms per cubic metre for 2007–2016.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f18.png"/>

        </fig>

      <p id="d1e5740">The WBD impact on PM<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> daily urban concentrations can reach values of up to 30 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, where the highest values are noticed in Berlin, contributing up to 60 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to the total PM<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The corresponding WBD impact on PM<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations is higher than expected and can reach values of more than 80 <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with Berlin again representing the highest extremes with values of up to 200 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. It is also clear that the highest impacts on PM are modelled in wintertime in accordance with the annual cycle of emissions seen earlier.</p>
      <?pagebreak page3641?><p id="d1e5847">To obtain spatial information on the WBD impact on PM, Fig. <xref ref-type="fig" rid="Ch1.F19"/> depicts the seasonally averaged (2007–2016) dust impact on PM<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (left; <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and PM<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> (right; <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) concentrations above central Europe. The dust contribution to PM<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations can reach values of up to 12 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in DJF and about 8 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in other seasons, while the highest impacts are modelled over Germany and over central Europe near large urban areas. In winter, a large part of the domain exhibits an impact above 1 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The impact on PM<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> is characterized by higher values of up to 20 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, mainly in DJF, while the spatial distribution is very similar to the PM<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> impact, being highest above western Europe (mainly Germany) with values above 2 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> over other areas. The impacts seen are in line with the highest emissions calculated in Fig. <xref ref-type="fig" rid="Ch1.F2"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F19" specific-use="star"><?xmltex \currentcnt{19}?><?xmltex \def\figurename{Figure}?><label>Figure 19</label><caption><p id="d1e6024">Seasonally averaged impact of WBD emissions on PM<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <bold>(a)</bold> and PM<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> <bold>(b)</bold> concentrations in micrograms per cubic metre for 2007–2016.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f19.png"/>

        </fig>

      <p id="d1e6057">To further support the hypothesis that the peak values in the daily concentrations are seen in PM<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> (Figs. <xref ref-type="fig" rid="Ch1.F13"/> and <xref ref-type="fig" rid="Ch1.F12"/>) as well as in the impact figures (Fig. <xref ref-type="fig" rid="Ch1.F18"/>), we present the scatter plot of the daily mean concentrations of PM<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> values above Prague vs. the WBD emissions from around this city (average of 10 <inline-formula><mml:math id="M289" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 grid cells) in Fig. <xref ref-type="fig" rid="Ch1.F20"/>. The two colours distinguish concentration values below and above the 100 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> threshold. The figure shows that for values below this threshold, high concentrations are obtained even for very low WBD emissions, which is probably a result of anthropogenic emissions. However, for high concentrations (blue colour), it is clear that they correlate with the emissions of wind-blown dust.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F20"><?xmltex \currentcnt{20}?><?xmltex \def\figurename{Figure}?><label>Figure 20</label><caption><p id="d1e6115">Scatter plot of the daily mean CAMx concentrations of PM<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> corresponding to Prague city centre vs. WBD emissions of coarse PM (CCRS) from the 90 km <inline-formula><mml:math id="M292" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 90 km area around Prague for the 2007–2016 period. Orange/blue circles stand for concentrations below/above 100 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f20.png"/>

        </fig>

<?pagebreak page3642?><sec id="Ch1.S3.SS3.SSSx1" specific-use="unnumbered">
  <title>Impact on PM components</title>
      <p id="d1e6165">As mentioned above, PM<inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations contain secondary constituents, and in this section, we investigate how the presence of wind-blown dust (FCRS and elements Ca, Fe, Mg, Mn, K, Na) would affect the concentrations of the anthropogenic secondary inorganic aerosols. Figure <xref ref-type="fig" rid="Ch1.F21"/> depicts the seasonally averaged WBD impact on PSO<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, PNO<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PNH<inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> for the ISORROPIA experiment.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F21" specific-use="star"><?xmltex \currentcnt{21}?><?xmltex \def\figurename{Figure}?><label>Figure 21</label><caption><p id="d1e6208">The WBD emission impact on secondary inorganic aerosol concentrations (PSO<inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, PNO<inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PNH<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) with ISORROPIA, seasonally averaged, in micrograms per cubic metre for 2007–2016.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f21.png"/>

          </fig>

      <p id="d1e6244">Regarding sulfates, the strongest impacts occur during the winter reaching 0.1 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> over parts of Germany and Poland. In other seasons the impact remains less than 0.05 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while it can be slightly negative in summer, reaching <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.  PNO<inline-formula><mml:math id="M305" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is shown to be increased with the presence of WBD too, with values of up to 0.1 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in all seasons, while most of the domain exhibits an increase of above 0.01 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Finally,  PNH<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> is decreased above the entire domain with values often exceeding <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and peaks decreasing by around <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> especially over the western part of the domain in winter.</p>
      <?pagebreak page3643?><p id="d1e6430">The impact of WBD on secondary inorganic aerosol in the EQSAM experiments (Fig. <xref ref-type="fig" rid="Ch1.F22"/>) is evidently stronger in magnitude. The impact on PSO<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> sometimes exceeds 0.1 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and the negative impact over Italy is also stronger. In the case of nitrates the impact also sometimes exceeds 0.1 <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and a larger area is marked with an increase of above 0.05 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> compared to ISORROPIA. Finally, for ammonium, the decrease is larger than 0.01 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and can exceed 0.1 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, being evidently stronger than in the ISORROPIA experiment.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F22" specific-use="star"><?xmltex \currentcnt{22}?><?xmltex \def\figurename{Figure}?><label>Figure 22</label><caption><p id="d1e6543">The WBD emission impact on secondary inorganic aerosol concentrations (PSO<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, PNO<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PNH<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) with EQSAM, seasonally averaged, in micrograms per cubic metre for 2007–2016.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f22.png"/>

          </fig>

      <p id="d1e6579">The geographical distribution of the seasonally averaged impact does not provide information about the possible daily extremes of the impacts of WBD on secondary aerosol. Therefore we also plotted the temporal evolution of the averaged daily change in PSO<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, PNO<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and PNH<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentrations due to WBD over the six selected urban areas.</p>
      <p id="d1e6609">Figure <xref ref-type="fig" rid="Ch1.F23"/> shows the WBD impact on sulfates, while Figs. <xref ref-type="fig" rid="Ch1.F24"/> and <xref ref-type="fig" rid="Ch1.F25"/> show the impact on nitrates and ammonium, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F23"><?xmltex \currentcnt{23}?><?xmltex \def\figurename{Figure}?><label>Figure 23</label><caption><p id="d1e6620">The long-term WBD impact on PSO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentrations in ISORROPIA, averaged daily for 2007–2016. Units are micrograms per cubic metre.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f23.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F24"><?xmltex \currentcnt{24}?><?xmltex \def\figurename{Figure}?><label>Figure 24</label><caption><p id="d1e6640">The long-term WBD impact on PNO<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in ISORROPIA, averaged daily for 2007–2016. Units are micrograms per cubic metre.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f24.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F25"><?xmltex \currentcnt{25}?><?xmltex \def\figurename{Figure}?><label>Figure 25</label><caption><p id="d1e6661">The long-term WBD impact on PNH<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentrations in ISORROPIA, averaged daily for 2007–2016. Units are micrograms per cubic metre.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/3629/2023/acp-23-3629-2023-f25.png"/>

          </fig>

      <p id="d1e6679">In contrast with the seasonal low impact of WBD on PSO<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> concentrations, daily extreme values show an impact of up to 0.5 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while for some cities like Berlin, it is even higher than 1 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. These values usually occur during the cold part of the year in accordance with the spatial results presented earlier. The daily WBD impact on nitrates is shown to also be higher than the seasonal one, with values reaching 1–1.5 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The WBD impact on ammonium seems to have a decreasing effect, with values ranging between <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> and up to <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is also significantly higher than the seasonal ones.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion and conclusions</title>
      <p id="d1e6798">This study aimed at the potential long-term regional impact of dust emissions on PM<inline-formula><mml:math id="M335" 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="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> concentrations for the period 2007–2016. The analysis focused on central Europe and on big urban areas such as Berlin, Prague, Vienna, Munich, Budapest and Warsaw. The impact was also estimated for the secondary inorganic aerosol concentrations as constituents of PM<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e6828">In our simulations, the annual average coarse and fine PM emitted and averaged over the whole domain is about 1.5 and 0.5 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, so about 2 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the total PM<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>. This value is 1 order of magnitude higher than that calculated by <xref ref-type="bibr" rid="bib1.bibx44" id="text.59"/> for Europe. The dust emissions show significant temporal and spatial patterns. Our dust model computed 2 times stronger emissions during the winter period than in summer (for both the fine- and coarse-dust particles). Over high-latitude areas, <xref ref-type="bibr" rid="bib1.bibx9" id="text.60"/> reported strong winter dust emissions over areas where, under dry conditions, the sublimation of snow (and eventually permafrost) occurs and the soil is more prone to saltation, while during summer, the soil is generally more moist reducing the saltation potential of soil particles. In the dust model used in this study, the three most important parameters affecting the dust emissions are the near-surface wind speed, snow-equivalent water and soil moisture. The reason for much higher winter WBD emissions can be (1) much higher modelled winter wind speeds compared to summer ones, lower<?pagebreak page3644?> soil moisture during the winter months and an underestimation of snow cover, which prevents dust events. We saw that our driving model (WRF) produced much higher winds than the ones measured, and this positive bias is largest during winter. This strong overestimation is a known feature of the BouLac planetary boundary layer (PBL) scheme used in this study, and others have reported a similar overestimation of wind speed (e.g. <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx74" id="altparen.61"/>). As dust emissions scale non-linearly with wind speeds that are above a certain threshold <xref ref-type="bibr" rid="bib1.bibx17" id="paren.62"/>, this raises the potential for overestimating dust emissions if winds are overestimated. Our sensitivity estimates confirmed this and, even at a 5 % reduction in model wind speeds, greatly reduced the calculated WBD fluxes. We must note too that by driving WRF with the newer ERA-5 reanalysis data <xref ref-type="bibr" rid="bib1.bibx31" id="paren.63"/> instead of ERA-Interim, some of the wind biases would probably be reduced as it has been shown by many (e.g. <xref ref-type="bibr" rid="bib1.bibx3" id="altparen.64"/>) that ERA-5 provides somewhat lower near-surface wind speeds over Europe compared to ERA-Interim.</p>
      <p id="d1e6911">Regarding the modelled soil moisture, it is comparable to observed values in winter and somewhat higher during other months than that measured. This means that the strong winter emissions are probably due to high wind speeds in WRF. The last factor potentially playing a role is the snow cover, which was not evaluated in this study, but the modelled precipitation exhibited some underestimation in winter, which might result in reduced snow in our simulations (even though temperature is underestimated in winter).</p>
      <p id="d1e6914">Apart from the clear annual cycle, the calculated emissions show a diurnal cycle too. Daytime emissions are usually 50 %–100 % higher than nighttime ones. The reason for this is most probably the well-known cycle of wind speed with maxima occurring at noon <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx34" id="paren.65"/>, and similar diurnal behaviour of dust emissions were seen in other studies too (e.g. <xref ref-type="bibr" rid="bib1.bibx43" id="altparen.66"/>).</p>
      <?pagebreak page3645?><p id="d1e6924">The daily time series of dust emissions provide some hints regarding their distribution: while on most of the days, the coarse-mode emissions remain low (lower than 0.1–0.2 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), on selected days the emissions peak at much higher values (1–2 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The same is true for the fine-mode dust. This points to the fact already mentioned that the dust emissions respond non-linearly to wind speeds (more specifically to friction velocity; see Eq. 2) above a certain threshold. As wind speeds are overestimated in the driving meteorological model (WRF), the emissions are probably also overestimated, or at least these strong peaks are not realistic. Indeed, the sensitivity analysis to wind speed reduction showed a very high sensitivity of WBD emissions to this parameter: making the wind speeds half of the original values removed almost all WBD emissions. This means that very accurate meteorological driving data are needed to constrain the wind-blown dust emissions. We can further expect that due to the positive wind bias and resulting overestimated WBD emissions, the actual dust emissions are closer to what <xref ref-type="bibr" rid="bib1.bibx44" id="text.67"/> calculated.</p>
      <p id="d1e6982">One interesting feature is evident from the modelled geographical distribution of seasonal WBD emissions. Besides large rural areas emitting dust, the largest dust sources are concentrated near large urban areas: the Ruhr area in Germany, the highly populated Benelux states and also large cities like Berlin, Prague, Budapest, etc. One has to be very cautious in interpreting this result: dust is potentially emitted only over land use categories representing potentially bare soil (if other circumstances are met), i.e. crops, shrubs, grass land, tundra and desert. “Urban” land use is, however, not treated as having dust emission potential. On the other hand, urban areas are characterized by low vegetation and thus low leaf area index (LAI). Indeed, in the LAI data used (MODIS), cities have near-zero LAI for most of the year. As land use in the WBDUST module (and also for CAMx dry deposition) is represented as fractional land use (based on CORINE data), many of the 9 km grid boxes covering urban areas are partly covered with bare soil and partly urban land use. If the LAI<?pagebreak page3646?> value is too low for such areas, dust emission can occur in the model. This was the case for densely populated areas, e.g. over the above-mentioned Ruhr area. In the case of large cities, such as Berlin, dust emissions are concentrated near the edges of the city, where grid boxes share both urban land use and bare soil.
Our sensitivity analysis of the way MODIS LAI is averaged over CAMx grid cells showed that if the lowest LAI values (assuming these constitute the urban fraction of the grid cell which cannot emit WBD) are omitted from the averaging, the resulting average LAI over the grid cell is much higher, making the average WBD emissions smaller.  Thus, this has to be treated as a caution to provide consistent input data for land use and other land-related parameters like LAI, preferably with a similar horizontal resolution.</p>
      <p id="d1e6985">Regarding the PM concentrations, the background noWBD case showed a reasonable model performance with typical correlations for PM<inline-formula><mml:math id="M343" 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="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> as achieved in other modelling studies for Europe (e.g. <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx62" id="altparen.68"/>). Lowest correlations are computed for the summer period, while winter ones are usually the highest. This can be explained by the more stable weather conditions in DJF, which are better resolved  than summer<?pagebreak page3647?> weather, which is often marked with highly variable convective environment <xref ref-type="bibr" rid="bib1.bibx32" id="paren.69"/>. The PM values are underestimated in summer and overestimated in winter, which is probably due to vertical transport that is too strong in summer and transport that is too low in winter but may be connected also to deficiencies in the monthly profiles used for annual emissions <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx34" id="paren.70"/>. An important goal of the model validation was to evaluate whether the inclusion of WBD emission improves model performance. This turned out to be true for summer biases, which were reduced by adding the dust load. However, the winter, which was already marked by a negative bias, is modelled with an even higher bias if dust is considered. Also, the correlations decreased significantly if wind-blown dust is included in our simulations. This can be explained by the strong peaks in the impact on PM values which are a result of strong emission peaks seen in the daily time series of FCRS and CCRS emissions. The modelled urban PM peaks are often much higher (often by a factor of 5 or even more) than measurements and thus can strongly reduce the correlation with the observed values. Also, the RMSE values increased, which can again be explained by the many outliers in the modelled PM data.</p>
      <?pagebreak page3648?><p id="d1e7015">Similar to dust emissions, the WBD impact on overall PM concentrations is high near big urban centres (over Germany and the Benelux states; reaching 15–20 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), but large rural contributions are also modelled, exceeding 2 and 5 <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for PM<inline-formula><mml:math id="M347" 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="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, respectively. The contributions are largest when the largest emissions occur, and we showed an evident correlation of high concentrations of PM<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> with high emissions of WBD in the coarse model. These seasonally averaged impacts are, however, strongly exceeded by the daily average values, which can be higher by 1 order of magnitude, reaching 100 <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for some cities. However, as already said, these extreme peaks are probably overestimated (due to too strong winds in WRF).</p>
      <p id="d1e7103"><xref ref-type="bibr" rid="bib1.bibx65" id="text.71"/> calculated the summer and autumn wind-blown dust contribution to PM due to European local sources and found a contribution of around 1–2 <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to PM<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> over central Europe, which is about 2 times less than in our simulations. We can, however, expect that our result would get closer to their numbers without the positive wind bias encountered in our driving model.</p>
      <p id="d1e7136">Apart from the impact on the overall PM<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> concentrations, our study quantified the long-term impact on the secondary aerosol components, namely the secondary inorganic aerosol (SIA) components. On a seasonal average, the impacts are rather small: an up to around 0.1 <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> increase for PSO<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (mainly during winter) and PNO<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (all year round). For PNH<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, we modelled decreases of a similar absolute magnitude. A much higher impact is, however, calculated for specific days as daily means. These can reach an increase of up to 0.5–1 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for sulfates (maximum increase over Berlin in 2009 exceeding 1 <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and similar increases for nitrates. During winter 2008–2009, nitrates occasionally even decreased by up to 0.2–0.3 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Ammonium decreased due to dust by up to <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on selected days. These decreases occurred mainly on winter days.</p>
      <?pagebreak page3649?><p id="d1e7287">The explanation of the above-presented SIA modifications can be explained by two types of processes: one is the heterogeneous oxidation from SO<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> on the surface of dust particles <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx75" id="paren.72"/>, and the other is the catalytic oxidation enhancement by dust elements in cloud water through influencing cloud pH and thus the aqueous chemistry of <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Indeed, if we consider the impact on total SIA, we see that SIAs increased (the increases in sulfates and nitrates outweigh the decrease in ammonium). This is in line with the expectation and with previous studies dealing with the impact of dust on secondary aerosol formation <xref ref-type="bibr" rid="bib1.bibx48" id="paren.73"/>.</p>
      <p id="d1e7357">Concretely, the increases in sulfates due to the presence of dust particles were  modelled by <xref ref-type="bibr" rid="bib1.bibx67" id="text.74"/> (increases by about 1 <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during a strong dust event in China), who attributed them to dust surface heterogeneous chemistry. Also, <xref ref-type="bibr" rid="bib1.bibx37" id="text.75"/> modelled increases in sulfates over Europe due to dust. Our findings are also in line, at least qualitatively, with the recent findings of <xref ref-type="bibr" rid="bib1.bibx69" id="text.76"/>, who argued that on the “dust surface, heterogeneous drivers (e.g. transition metal constituents,
water-soluble ions) are more efficient than surface-adsorbed oxidants (e.g. H<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>O<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO<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>, O<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) in the conversion of <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, particularly during nighttime”.</p>
      <p id="d1e7436">Regarding the impact on nitrates, the increases are consistent with an earlier study of <xref ref-type="bibr" rid="bib1.bibx22" id="text.77"/>, who found that nitrates associate with dust and result in volatilization. The increase in nitrates can be explained also by the formation of deliquescent salts (e.g. through the reaction of crustal cations in dust  with <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> ions), as argued also by <xref ref-type="bibr" rid="bib1.bibx67" id="text.78"/>. This can potentially even lead to some overprediction of nitrates, which requires revisiting the chemical composition of dust <xref ref-type="bibr" rid="bib1.bibx40" id="paren.79"/>.</p>
      <p id="d1e7462">Finally, the ammonium response to dust is tightly connected to the response of sulfates and nitrates. As we saw that nitrates easily associate with dust (via reaction with dust crustal anions like <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), this means that less nitrate is available to react with ammonium, leading to more ammonia remaining in the gas phase <xref ref-type="bibr" rid="bib1.bibx22" id="paren.80"/>. In other words, <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NH</mml:mi><mml:msup><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is replaced by dust containing cations <xref ref-type="bibr" rid="bib1.bibx67" id="paren.81"/>. This last author and others (e.g. <xref ref-type="bibr" rid="bib1.bibx48" id="altparen.82"/>) note that ammonium could also increase due to the present of dust as a result of more sulfates forming on dust surfaces. However, in our simulations this is evidently offset by the above-mentioned replacement of ammonium by crustal cations.</p>
      <p id="d1e7501">In our experiments, the impact on SIA is clearly stronger using EQSAM, although the differences are not large and the overall impact on PM is not affected too much. The reason for stronger sulfate and nitrate formation in EQSAM is probably the fact that in EQSAM, the cloud pH is influenced by three cations (Mg<inline-formula><mml:math id="M378" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>, Ca<inline-formula><mml:math id="M379" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> and K<inline-formula><mml:math id="M380" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>), while in ISORROPIA, it is only influenced by calcium. This also explains the stronger decrease in ammonium in EQSAM being replaced by more cations.</p>
      <p id="d1e7537">An exception to the above-mentioned behaviour for nitrates is the winter 2009 decrease (by about 0.2 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) seen for all analysed cities. This period is not characterized by exceptional dust emissions or extreme PM values (based on our results). On the other hand, during this period, the dust impact on PSO<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> is relatively large, while the impact on ammonium is very small. Thus ammonium was probably preferably neutralizing sulfates instead of nitrates, causing their reduction.</p>
      <p id="d1e7569">Summing up the results, we showed that the long-term impact of local wind-blown dust emissions in Europe can significantly enhance urban PM levels, especially during extreme events rather than in seasonal averages. However, our calculations probably overestimate dust emissions due to very strong winds in the driving model. We also showed that apart from the total aerosol load, dust also impacts the secondary inorganic fraction of PM, which can significantly increase on selected days.</p>
      <?pagebreak page3650?><p id="d1e7572">We also have to note that the uncertainties related to different inputs used for the study cannot be judged well here. We already mentioned that the land use and the LAI input can coact (bare soil vs. low or high LAI) differently depending on the choice of these data. For example, this led to one of the highest dust emissions in our simulations being located around urban areas. We also used some default values for dust composition based on a study <xref ref-type="bibr" rid="bib1.bibx40" id="paren.83"/> which measured this composition over a different geographic area. Lastly, we used only one driving model and one model for wind-blown dust emissions, so the model uncertainty also cannot be addressed. The future goal should thus be to focus on the sensitivities of wind-blown dust loads to different input data and methods to obtain a more robust long-term estimate of dust emissions and the impact on PM and its secondary components.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e7583">CAMx version 7.10 is available at <uri>http://camx-wp.azurewebsites.net/download/source</uri> (<xref ref-type="bibr" rid="bib1.bibx11" id="altparen.84"/>; <xref ref-type="bibr" rid="bib1.bibx21" id="altparen.85"/>). WRF version 4.0 can be downloaded from <uri>https://www2.mmm.ucar.edu/wrf/src/WRFV4.0.TAR.gz</uri> (<xref ref-type="bibr" rid="bib1.bibx71" id="altparen.86"/>). The source code of the WBDUST model can be downloaded from the CAMx “Support Software” page: <uri>https://www.camx.com/download/support-software/</uri> (<xref ref-type="bibr" rid="bib1.bibx70" id="altparen.87"/>). The LAI data used in WBDUST are obtained from <xref ref-type="bibr" rid="bib1.bibx73" id="text.88"/> (<ext-link xlink:href="https://doi.org/10.1016/j.rse.2011.01.001" ext-link-type="DOI">10.1016/j.rse.2011.01.001</ext-link>). The complete model configuration and all the simulated data (3-D hourly data) used for the analysis are stored at the Department of Atmospheric Physics, Charles University, data storage facilities (about 5 TB) and are available upon request from the main author. The observational data from the AirBase database can be obtained from <uri>https://discomap.eea.europa.eu/map/fme/AirQualityExport.htm</uri> <xref ref-type="bibr" rid="bib1.bibx18" id="paren.89"/>. The data from the Czech Hydrometeorological Institute AIM network can be obtained upon request from the authors.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e7623">ML and PH conceptualized and designed the experiments and wrote the majority of the text, PH conducted the CAMx simulation, JK performed the WRF experiments, ML, LB and APPP contributed to the analysis of the results, and OV helped with obtaining the observational data and writing the text.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e7629">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e7635">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e7641">This work has been supported by the Czech Technological Agency (TACR) grant no. SS02030031 ARAMIS (Air Quality Research Assessment and Monitoring Integrated System) and Charles University Grant Agency (GAUK) project no. 298822. It has also been partly funded by the Austrian Climate and Energy Funds via project ACRP11-KR18AC0K14686 and the Charles University SVV 260581 project. We also further acknowledge the TNO-MACC-III emissions dataset provided by the Copernicus Monitoring Service, the compiled air quality station data provided by the European Environmental Agency, the ERA-Interim reanalysis provided by the European Centre for Medium-Range Weather Forecast and the MODIS leaf area data provided by the Land-Atmosphere Interaction Research Group at Sun Yatsen University. We also thank the Czech Hydrometeorological Institute for providing the AIM data.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e7646">This research has been supported by the Grantová Agentura, Univerzita Karlova (grant no. 298822), the Technology Agency of the Czech Republic (grant no. SS02030031), the Univerzita Karlova v Praze (grant no. 260581) and the Klima- und Energiefonds (grant no. ACRP11-KR18AC0K14686).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e7652">This paper was edited by Pedro Jimenez-Guerrero and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><?xmltex \def\ref@label{Ansmann et al.(2003)}?><label>Ansmann et al.(2003)</label><?label ansmann2003?><mixed-citation>Ansmann, A., Bösenberg, J., Chaikovsky, A., Comerón, A.,  Eckhardt, S.,  Eixmann, R., Freudenthaler, V., Ginoux, P., Komguem, L., Linné, H., López Márquez, M. Á., Matthias, V., Mattis, I.,  Mitev, V., Müller, D., Music, S., Nickovic, S., Pelon, J., Sauvage, L., Sobolewsky, P., Srivastava, M.  K.,  Stohl, A., Torres, O., Vaughan, G., Wandinger, U., and Wiegner, M.: Long-range transport of Saharan dust to northern Europe: The 11–16 October 2001 outbreak observed with EARLINET, J. Geophys. Res., 108, 4783, <ext-link xlink:href="https://doi.org/10.1029/2003JD003757" ext-link-type="DOI">10.1029/2003JD003757</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx2"><?xmltex \def\ref@label{Astitha et al.(2012)}?><label>Astitha et al.(2012)</label><?label astitha2012?><mixed-citation>Astitha, M., Lelieveld, J., Abdel Kader, M., Pozzer, A., and de Meij, A.: Parameterization of dust emissions in the global atmospheric chemistry-climate model EMAC: impact of nudging and soil properties, Atmos. Chem. Phys., 12, 11057–11083, <ext-link xlink:href="https://doi.org/10.5194/acp-12-11057-2012" ext-link-type="DOI">10.5194/acp-12-11057-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx3"><?xmltex \def\ref@label{Belmonte Rivas and Stoffelen(2019)}?><label>Belmonte Rivas and Stoffelen(2019)</label><?label belmonte2019?><mixed-citation>Belmonte Rivas, M. and Stoffelen, A.: Characterizing ERA-Interim and ERA5 surface wind biases using ASCAT, Ocean Sci., 15, 831–852, <ext-link xlink:href="https://doi.org/10.5194/os-15-831-2019" ext-link-type="DOI">10.5194/os-15-831-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx4"><?xmltex \def\ref@label{Benešová et al.(2018)}?><label>Benešová et al.(2018)</label><?label benesova2018?><mixed-citation>Benešová, N., Belda, M., Eben, K., Geletič, J., Huszár, P., Juruš, P., Krč, P., Resler, J., and Vlček, O.: New open source emission processor for air quality models, in:  Proceedings of Abstracts 11th International Conference on Air Quality Science and Application, edited by: Sokhi, R., Tiwari, P. R., Gállego, M. J., Craviotto Arnau, J. M., Castells Guiu, C., and Singh, V.,  <ext-link xlink:href="https://doi.org/10.18745/PB.19829" ext-link-type="DOI">10.18745/PB.19829</ext-link>,  27 pp.,  University of Hertfordshire, Air Quality 2018 conference, 12–16 March 2018, Barcelona,  2018.</mixed-citation></ref>
      <ref id="bib1.bibx5"><?xmltex \def\ref@label{Bessagnet et al.(2008)}?><label>Bessagnet et al.(2008)</label><?label bessagnet2008?><mixed-citation>Bessagnet, B., Menut, L., Aymoz, G., Chepfer, H., and Vautard, R.: Modelling dust emissions and transport within Europe: the Ukraine March 2007 event, J. Geophys. Res., 113, D15202, <ext-link xlink:href="https://doi.org/10.1029/2007JD009541" ext-link-type="DOI">10.1029/2007JD009541</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx6"><?xmltex \def\ref@label{Birmili et al.(2008)}?><label>Birmili et al.(2008)</label><?label birmili2008?><mixed-citation>Birmili, W., Schepanski, K., Ansmann, A., Spindler, G., Tegen, I., Wehner, B., Nowak, A., Reimer, E., Mattis, I., Müller, K., Brüggemann,<?pagebreak page3651?> E., Gnauk, T., Herrmann, H., Wiedensohler, A., Althausen, D., Schladitz, A., Tuch, T., and Löschau, G.: A case of extreme particulate matter concentrations over Central Europe caused by dust emitted over the southern Ukraine, Atmos. Chem. Phys., 8, 997–1016, <ext-link xlink:href="https://doi.org/10.5194/acp-8-997-2008" ext-link-type="DOI">10.5194/acp-8-997-2008</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx7"><?xmltex \def\ref@label{Bougeault and Lacarrère(1989)}?><label>Bougeault and Lacarrère(1989)</label><?label bougeault1989?><mixed-citation>Bougeault, P. and Lacarrère, P.: Parameterization of orography-induced turbulence in a meso-beta-scale model, Mon. Weather Rev., 117, 1872–1890,   <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1989)117&lt;1872:POOITI&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1989)117&lt;1872:POOITI&gt;2.0.CO;2</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx8"><?xmltex \def\ref@label{Buchholz et al.(2019)}?><label>Buchholz et al.(2019)</label><?label buchholz2019?><mixed-citation>Buchholz, R. R., Emmons, L. K., Tilmes, S., and The CESM2 Development Team: CESM2.1/CAM-chem Instantaneous Output for Boundary Conditions, UCAR/NCAR – Atmospheric Chemistry Observations and Modeling Laboratory, Subset used Lat: 10 to 80, Lon: <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mi mathvariant="normal">−</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> to 50, December 2014–January 2017, UCAR/NCAR Boulder, CO [data set], <ext-link xlink:href="https://doi.org/10.5065/NMP7-EP60" ext-link-type="DOI">10.5065/NMP7-EP60</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx9"><?xmltex \def\ref@label{Bullard et al.(2016)}?><label>Bullard et al.(2016)</label><?label bullard2016?><mixed-citation>
Bullard, J. E., Baddock, M., Bradwell, T., Crusius, J., Darlington, E., Gaiero, D., Gassó, S., Gisladottir, G., Hodgkins, R., McCulloch, R., McKenna-Neuman, C., Mockford, T., Stewart, H., and Thorsteinsson, T.: High-latitude dust in the Earth system, Rev. Geophys., 54, 447–485, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx10"><?xmltex \def\ref@label{Byun and Ching(1999)}?><label>Byun and Ching(1999)</label><?label byun1999?><mixed-citation>
Byun, D. W. and Ching, J. K. S.: Science Algorithms of the EPA Model-3 Community Multiscale Air Quality (CMAQ) Modeling System, Office of Research and Development, U.S. EPA, North Carolina, EPA/600/R-99/030, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx11"><?xmltex \def\ref@label{CAMx(2020)}?><label>CAMx(2020)</label><?label CAMx2020?><mixed-citation>CAMx: Comprehensive Air Quality Model With Extensions version 7.10 code, Ramboll US Corporation, Novato, CA 94945, USA [code], <uri>http://camx-wp.azurewebsites.net/download/source</uri> (last access: 30 November 2022), 2020.</mixed-citation></ref>
      <ref id="bib1.bibx12"><?xmltex \def\ref@label{CORINE(2012)}?><label>CORINE(2012)</label><?label clc2012?><mixed-citation>CORINE: CORINE Land Cover, European Union, Copernicus Land Monitoring Service 2012, European Environment Agency (EEA) [data set], <uri>https://land.copernicus.eu/pan-european/corine-land-cover</uri> (last access: 20 March 2023), 2012.</mixed-citation></ref>
      <ref id="bib1.bibx13"><?xmltex \def\ref@label{Chang et al.(1987)}?><label>Chang et al.(1987)</label><?label chang1987?><mixed-citation>
Chang, J. S., Brost,  R. A., Isaksen, I. S. A.,  Madronich, S., Middleton, P., Stockwell, W. R., and Walcek,  C. J.: A Three-dimensional Eulerian Acid Deposition Model: Physical Concepts and Formulation, J. Geophys. Res., 92, 14681–14700, 1987.</mixed-citation></ref>
      <ref id="bib1.bibx14"><?xmltex \def\ref@label{Chen and Dudhia(2001)}?><label>Chen and Dudhia(2001)</label><?label chen2001?><mixed-citation>Chen, F. and Dudhia, J.: Coupling an Advanced Land Surface Hydrology Model with the Penn State-NCAR MM5 Modeling System. Part I: Model Implementation and Sensitivity, Mon. Weather Rev., 129, 569–585, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(2001)129&lt;0569:CAALSH&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(2001)129&lt;0569:CAALSH&gt;2.0.CO;2</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx15"><?xmltex \def\ref@label{Chen and Sun(2002)}?><label>Chen and Sun(2002)</label><?label chen2002?><mixed-citation>Chen, S. and Sun, W.: A one-dimensional time dependent cloud model, J. Meteorol. Soc. Jpn., 80, 99–118,  <ext-link xlink:href="https://doi.org/10.2151/jmsj.80.99" ext-link-type="DOI">10.2151/jmsj.80.99</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx16"><?xmltex \def\ref@label{Dorigo et al.(2017)}?><label>Dorigo et al.(2017)</label><?label dorigo2017?><mixed-citation>Dorigo, W. A., Wagner, W., Albergel, C., Albrecht, F., Balsamo, G., Brocca, L., Chung, D., Ertl, M., Forkel, M., Gruber, A., Haas, E., Hamer, D. P., Hirschi, M., Ikonen, J., De Jeu, R., Kidd, R., Lahoz, W., Liu, Y. Y., Miralles, D., and Lecomte, P.: ESA CCI Soil Moisture for improved Earth system understanding: State-of-the art and future directions, Remote Sens. Environ., 203,  185–215, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2017.07.001" ext-link-type="DOI">10.1016/j.rse.2017.07.001</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx17"><?xmltex \def\ref@label{Duran et al.(2011)}?><label>Duran et al.(2011)</label><?label duran2011?><mixed-citation>Durán, O., Claudin, P., and Andreotti, B.: On aeolian transport: Grain-scale interactions, dynamical mechanisms and scaling laws, Aeolian Res., 3, 243–270, <ext-link xlink:href="https://doi.org/10.1016/j.aeolia.2011.07.006" ext-link-type="DOI">10.1016/j.aeolia.2011.07.006</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx18"><?xmltex \def\ref@label{EEA(2021)}?><label>EEA(2021)</label><?label EEA2021?><mixed-citation>EEA: Air Quality e-Reporting products on EEA data service: E1a and E2a data sets, European Environment Agency, Copenhagen, Denmark [data set], <uri>https://discomap.eea.europa.eu/map/fme/AirQualityExport.htm</uri> (last access: 27 September 2022), 2021.</mixed-citation></ref>
      <ref id="bib1.bibx19"><?xmltex \def\ref@label{Emery et al.(2015)}?><label>Emery et al.(2015)</label><?label emery2015?><mixed-citation>Emery, C., Jung, J., Koo, B., and Yarwood, G.: Improvements to CAMx Snow Cover Treatments and Carbon Bond Chemical Mechanism for Winter Ozone, Utah Department of Environmental Quality, Division of Air Quality, Salt Lake City, UT, Ramboll Environ, Novato, CA,  <uri>https://www.camx.com/files/udaq_snowchem_final_6aug15.pdf</uri> (last access: 20 March 2023), 2015.</mixed-citation></ref>
      <ref id="bib1.bibx20"><?xmltex \def\ref@label{Emmons et al.(2020)}?><label>Emmons et al.(2020)</label><?label emmons2020?><mixed-citation>Emmons, L. K., Schwantes, R. H., Orlando, J. J., Tyndall, G., Kinnison, D., Lamarque, J.-F., Marsh, D., Mills, M. J., Tilmes, S., Bardeen, C., Buchholz, R. R., Conley, A., Gettelman, A., Garcia, R., Simpson, I., Blake, D. R., Meinardi, S., and Pétron, G.: The Chemistry Mechanism in the Community Earth System Model version 2 (CESM2), J. Adv. Model. Earth Sy., 12, e2019MS001882, <ext-link xlink:href="https://doi.org/10.1029/2019MS001882" ext-link-type="DOI">10.1029/2019MS001882</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx21"><?xmltex \def\ref@label{Ramboll(2020)}?><label>Ramboll(2020)</label><?label ramboll2020?><mixed-citation>Ramboll: User's Guide Comprehensive Air Quality Model With Extensions Version 7.10, User Guide, Ramboll US Corporation, Novato, CA 94945, USA, <uri>https://camx-wp.azurewebsites.net/Files/CAMxUsersGuide_v7.10.pdf</uri> (last access: 27 September 2022), 2020.</mixed-citation></ref>
      <ref id="bib1.bibx22"><?xmltex \def\ref@label{Fairlie et al.(2010)}?><label>Fairlie et al.(2010)</label><?label fairlie2010?><mixed-citation>Fairlie, T. D., Jacob, D. J., Dibb, J. E., Alexander, B., Avery, M. A., van Donkelaar, A., and Zhang, L.: Impact of mineral dust on nitrate, sulfate, and ozone in transpacific Asian pollution plumes, Atmos. Chem. Phys., 10, 3999–4012, <ext-link xlink:href="https://doi.org/10.5194/acp-10-3999-2010" ext-link-type="DOI">10.5194/acp-10-3999-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx23"><?xmltex \def\ref@label{Fu et al.(2016)}?><label>Fu et al.(2016)</label><?label fu2016?><mixed-citation>Fu, X., Wang, S., Chang, X., Cai, S., Xing, J., and Hao, J.: Modeling analysis of secondary inorganic aerosols over China: pollution characteristics, and meteorological and dust impacts, Nature Scientific Reports, 6, 35992, <ext-link xlink:href="https://doi.org/10.1038/srep35992" ext-link-type="DOI">10.1038/srep35992</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx24"><?xmltex \def\ref@label{Francis et al.(2022)}?><label>Francis et al.(2022)</label><?label francis2022?><mixed-citation>Francis, D., Fonseca, R., Nellia, N., Bozkurtbf, D., and BinGuande, G. P.: Atmospheric rivers drive exceptional Saharan dust transport towards Europe, Atmos. Res., 266, 105959, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2021.105959" ext-link-type="DOI">10.1016/j.atmosres.2021.105959</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx25"><?xmltex \def\ref@label{Giannadaki et al.(2014)}?><label>Giannadaki et al.(2014)</label><?label giannadaki2014?><mixed-citation>Giannadaki, D., Pozzer, A., and Lelieveld, J.: Modeled global effects of airborne desert dust on air quality and premature mortality, Atmos. Chem. Phys., 14, 957–968, <ext-link xlink:href="https://doi.org/10.5194/acp-14-957-2014" ext-link-type="DOI">10.5194/acp-14-957-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx26"><?xmltex \def\ref@label{GMTED(2010)}?><label>GMTED(2010)</label><?label GMTED2010?><mixed-citation>GMTED: Global Multi-resolution Terrain Elevation Data 2010 (GMTED2010),  USGS EROS Archive [data set], <ext-link xlink:href="https://doi.org/10.5066/F7J38R2N" ext-link-type="DOI">10.5066/F7J38R2N</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx27"><?xmltex \def\ref@label{Grell(1993)}?><label>Grell(1993)</label><?label grell1993?><mixed-citation>Grell, G.: Prognostic evaluation of assumptions used by cumulus parameterizations, Mon. Weather Rev., 121, 764–787, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1993)121&lt;0764:PEOAUB&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1993)121&lt;0764:PEOAUB&gt;2.0.CO;2</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx28"><?xmltex \def\ref@label{Gruber et al.(2019)}?><label>Gruber et al.(2019)</label><?label gruber2019?><mixed-citation>Gruber, A., Scanlon, T., van der Schalie, R., Wagner, W., and Dorigo, W.: Evolution of the ESA CCI Soil Moisture climate data records and their underlying merging methodology, Earth Syst. Sci. Data, 11, 717–739, <ext-link xlink:href="https://doi.org/10.5194/essd-11-717-2019" ext-link-type="DOI">10.5194/essd-11-717-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx29"><?xmltex \def\ref@label{Gudmundsson et al.(2016)}?><label>Gudmundsson et al.(2016)</label><?label gudmunndson2016?><mixed-citation>Gudmundsson, L. and Seneviratne, S. I.: Anthropogenic climate change affects meteorological drought risk in Europe, Environ. Res. Lett., 11, 044005, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/11/4/044005" ext-link-type="DOI">10.1088/1748-9326/11/4/044005</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx30"><?xmltex \def\ref@label{Guenther et al.(2012)}?><label>Guenther et al.(2012)</label><?label guenther2012?><mixed-citation>Guenther, A. B., Jiang, X., Heald, C. L., Sakulyanontvittaya, T., Duhl, T., Emmons, L. K., and Wang, X.: The Model of Emissi<?pagebreak page3652?>ons of Gases and Aerosols from Nature version 2.1 (MEGAN2.1): an extended and updated framework for modeling biogenic emissions, Geosci. Model Dev., 5, 1471–1492, <ext-link xlink:href="https://doi.org/10.5194/gmd-5-1471-2012" ext-link-type="DOI">10.5194/gmd-5-1471-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx31"><?xmltex \def\ref@label{Hersbach et al.(2017)}?><label>Hersbach et al.(2017)</label><?label hersbach2017?><mixed-citation>Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz‐Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R.J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: Complete ERA5 from 1979: Fifth generation of ECMWF atmospheric reanalyses of the global climate, Copernicus Climate Change Service (C3S) Data Store (CDS) [data set], <ext-link xlink:href="https://doi.org/10.24381/cds.adbb2d47" ext-link-type="DOI">10.24381/cds.adbb2d47</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx32"><?xmltex \def\ref@label{Huszar et al.(2016)}?><label>Huszar et al.(2016)</label><?label huszar2016?><mixed-citation>Huszar, P., Belda, M., and Halenka, T.: On the long-term impact of emissions from central European cities on regional air quality, Atmos. Chem. Phys., 16, 1331–1352, <ext-link xlink:href="https://doi.org/10.5194/acp-16-1331-2016" ext-link-type="DOI">10.5194/acp-16-1331-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx33"><?xmltex \def\ref@label{Huszar et al.(2018)}?><label>Huszar et al.(2018)</label><?label huszar2018?><mixed-citation>Huszar, P., Belda, M., Karlický, J., Bardachova, T., Halenka, T., and Pisoft, P.: Impact of urban canopy meteorological forcing on aerosol concentrations, Atmos. Chem. Phys., 18, 14059–14078, <ext-link xlink:href="https://doi.org/10.5194/acp-18-14059-2018" ext-link-type="DOI">10.5194/acp-18-14059-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx34"><?xmltex \def\ref@label{Huszar et al.(2020)}?><label>Huszar et al.(2020)</label><?label huszar2020?><mixed-citation>Huszar, P., Karlický, J., Ďoubalová, J., Šindelářová, K., Nováková, T., Belda, M., Halenka, T., Žák, M., and Pišoft, P.: Urban canopy meteorological forcing and its impact on ozone and PM<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>: role of vertical turbulent transport, Atmos. Chem. Phys., 20, 1977–2016, <ext-link xlink:href="https://doi.org/10.5194/acp-20-1977-2020" ext-link-type="DOI">10.5194/acp-20-1977-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx35"><?xmltex \def\ref@label{Iacono et al.(2008)}?><label>Iacono et al.(2008)</label><?label iacono2008?><mixed-citation>Iacono, M. J., Delamere, J. S., Mlawer, E. J., Shephard, M. W., Clough, S. A., and Collins, W. D.: Radiative forcing by long-lived greenhouse gases: Calculations with the aer radiative transfer models, J. Geophys. Res.-Atmos., 113, D13103, <ext-link xlink:href="https://doi.org/10.1029/2008JD009944" ext-link-type="DOI">10.1029/2008JD009944</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx36"><?xmltex \def\ref@label{Janjic(1994)}?><label>Janjic(1994)</label><?label janjic1994?><mixed-citation>Janjic, Z. I.: The step-mountain eta coordinate model: Further developments of the 172 convection, viscous sublayer, and turbulence closure schemes, Mon. Weather Rev., 122, 927–945, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1994)122&lt;0927:TSMECM&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1994)122&lt;0927:TSMECM&gt;2.0.CO;2</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx37"><?xmltex \def\ref@label{Kakavas and Pandis(2021)}?><label>Kakavas and Pandis(2021)</label><?label kakavas2021?><mixed-citation>Kakavas, S. and Pandis, S. N.: Effects of urban dust emissions on fine and coarse PM levels and composition, Atmos. Environ., 246, 118006, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2020.118006" ext-link-type="DOI">10.1016/j.atmosenv.2020.118006</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx38"><?xmltex \def\ref@label{Karlický et al.(2018)}?><label>Karlický et al.(2018)</label><?label karlicky2018?><mixed-citation>Karlický, J., Huszár, P., Halenka, T., Belda, M., Žák, M., Pišoft, P., and Mikšovský, J.: Multi-model comparison of urban heat island modelling approaches, Atmos. Chem. Phys., 18, 10655–10674, <ext-link xlink:href="https://doi.org/10.5194/acp-18-10655-2018" ext-link-type="DOI">10.5194/acp-18-10655-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx39"><?xmltex \def\ref@label{Karlický et al.(2020)}?><label>Karlický et al.(2020)</label><?label karlicky2020?><mixed-citation>Karlický, J., Huszár, P., Nováková, T., Belda, M., Švábik, F., Ďoubalová, J., and Halenka, T.: The “urban meteorology island”: a multi-model ensemble analysis, Atmos. Chem. Phys., 20, 15061–15077, <ext-link xlink:href="https://doi.org/10.5194/acp-20-15061-2020" ext-link-type="DOI">10.5194/acp-20-15061-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx40"><?xmltex \def\ref@label{Karydis et al.(2011)}?><label>Karydis et al.(2011)</label><?label karydis2011?><mixed-citation>Karydis, V. A., Tsimpidi, A. P., Lei, W., Molina, L. T., and Pandis, S. N.: Formation of semivolatile inorganic aerosols in the Mexico City Metropolitan Area during the MILAGRO campaign, Atmos. Chem. Phys., 11, 13305–13323, <ext-link xlink:href="https://doi.org/10.5194/acp-11-13305-2011" ext-link-type="DOI">10.5194/acp-11-13305-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx41"><?xmltex \def\ref@label{Keet et al.(2018)}?><label>Keet et al.(2018)</label><?label keet2018?><mixed-citation>Keet, A. C., Keller, P. J., and Peng, D. R.: Long-Term Coarse Particulate Matter Exposure Is Associated with Asthma among Children in Medicaid, Am. J. Resp. Crit. Care, 197, 737–746, <ext-link xlink:href="https://doi.org/10.1164/rccm.201706-1267OC" ext-link-type="DOI">10.1164/rccm.201706-1267OC</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx42"><?xmltex \def\ref@label{Klingmüller et al.(2018)}?><label>Klingmüller et al.(2018)</label><?label klingmuller2018?><mixed-citation>Klingmüller, K., Metzger, S., Abdelkader, M., Karydis, V. A., Stenchikov, G. L., Pozzer, A., and Lelieveld, J.: Revised mineral dust emissions in the atmospheric chemistry–climate model EMAC (MESSy 2.52 DU_Astitha1 KKDU2017 patch), Geosci. Model Dev., 11, 989–1008, <ext-link xlink:href="https://doi.org/10.5194/gmd-11-989-2018" ext-link-type="DOI">10.5194/gmd-11-989-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx43"><?xmltex \def\ref@label{Klose and Shao(2012)}?><label>Klose and Shao(2012)</label><?label klose2012?><mixed-citation>Klose, M. and Shao, Y.: Stochastic parameterization of dust emission and application to convective atmospheric conditions, Atmos. Chem. Phys., 12, 7309–7320, <ext-link xlink:href="https://doi.org/10.5194/acp-12-7309-2012" ext-link-type="DOI">10.5194/acp-12-7309-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx44"><?xmltex \def\ref@label{Korcz et al.(2008)}?><label>Korcz et al.(2008)</label><?label korcz2008?><mixed-citation>Korcz, M., Fudała, J., and Kliś, C.: Estimation of wind blown dust emissions in Europe and its vicinity, Atmos. Environ., 43, 1410–1420, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2008.05.027" ext-link-type="DOI">10.1016/j.atmosenv.2008.05.027</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx45"><?xmltex \def\ref@label{Kuenen et al.(2014)}?><label>Kuenen et al.(2014)</label><?label kuenen2014?><mixed-citation>Kuenen, J. J. P., Visschedijk, A. J. H., Jozwicka, M., and Denier van der Gon, H. A. C.: TNO-MACC_II emission inventory; a multi-year (2003–2009) consistent high-resolution European emission inventory for air quality modelling, Atmos. Chem. Phys., 14, 10963–10976, <ext-link xlink:href="https://doi.org/10.5194/acp-14-10963-2014" ext-link-type="DOI">10.5194/acp-14-10963-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx46"><?xmltex \def\ref@label{Kusaka et al.(2001)}?><label>Kusaka et al.(2001)</label><?label kusaka2001?><mixed-citation>
Kusaka, H., Kondo, K., Kikegawa, Y., and Kimura, F.: A simple single-layer urban canopy model for atmospheric models: Comparison with multi-layer and slab models, Bound.-Lay. Meteorol., 101, 329–358, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx47"><?xmltex \def\ref@label{Lecoeur and Seigneur(2013)}?><label>Lecoeur and Seigneur(2013)</label><?label lecoeur2013?><mixed-citation>Lecœur, È. and Seigneur, C.: Dynamic evaluation of a multi-year model simulation of particulate matter concentrations over Europe, Atmos. Chem. Phys., 13, 4319–4337, <ext-link xlink:href="https://doi.org/10.5194/acp-13-4319-2013" ext-link-type="DOI">10.5194/acp-13-4319-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx48"><?xmltex \def\ref@label{Malaguti et al.(2015)}?><label>Malaguti et al.(2015)</label><?label malaguti2015?><mixed-citation>Malaguti, A., Mircea, M., La Torretta, T. M. G., Telloli, C., Petralia, E., Stracquadanio, M., and Berico, M.: Chemical Composition of Fine and Coarse Aerosol Particles in the Central Mediterranean Area during Dust and Non-Dust Conditions, Aerosol Air Qual. Res., 15, 410–425, <ext-link xlink:href="https://doi.org/10.4209/aaqr.2014.08.0172" ext-link-type="DOI">10.4209/aaqr.2014.08.0172</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx49"><?xmltex \def\ref@label{Meinander et al.(2022)}?><label>Meinander et al.(2022)</label><?label meinander2022?><mixed-citation>Meinander, O., Dagsson-Waldhauserova, P., Amosov, P., Aseyeva, E., Atkins, C., Baklanov, A., Baldo, C., Barr, S. L., Barzycka, B., Benning, L. G., Cvetkovic, B., Enchilik, P., Frolov, D., Gassó, S., Kandler, K., Kasimov, N., Kavan, J., King, J., Koroleva, T., Krupskaya, V., Kulmala, M., Kusiak, M., Lappalainen, H. K., Laska, M., Lasne, J., Lewandowski, M., Luks, B., McQuaid, J. B., Moroni, B., Murray, B., Möhler, O., Nawrot, A., Nickovic, S., O’Neill, N. T., Pejanovic, G., Popovicheva, O., Ranjbar, K., Romanias, M., Samonova, O., Sanchez-Marroquin, A., Schepanski, K., Semenkov, I., Sharapova, A., Shevnina, E., Shi, Z., Sofiev, M., Thevenet, F., Thorsteinsson, T., Timofeev, M., Umo, N. S., Uppstu, A., Urupina, D., Varga, G., Werner, T., Arnalds, O., and Vukovic Vimic, A.: Newly identified climatically and environmentally significant high-latitude dust sources, Atmos. Chem. Phys., 22, 11889–11930, <ext-link xlink:href="https://doi.org/10.5194/acp-22-11889-2022" ext-link-type="DOI">10.5194/acp-22-11889-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx50"><?xmltex \def\ref@label{Metzger et al.(2016)}?><label>Metzger et al.(2016)</label><?label metzger2016?><mixed-citation>Metzger, S., Steil, B., Abdelkader, M., Klingmüller, K., Xu, L., Penner, J. E., Fountoukis, C., Nenes, A., and Lelieveld, J.: Aerosol water parameterisation: a single parameter framework, Atmos. Chem. Phys., 16, 7213–7237, <ext-link xlink:href="https://doi.org/10.5194/acp-16-7213-2016" ext-link-type="DOI">10.5194/acp-16-7213-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx51"><?xmltex \def\ref@label{Nenes et al.(1998)}?><label>Nenes et al.(1998)</label><?label nenes1998?><mixed-citation>Nenes, A., Pilinis, C., and Pandis, S. N.: ISORROPI<?pagebreak page3653?>A: A New Thermodynamic Model for Multiphase Multicomponent Inorganic Aerosols, Aquat. Geochem., 4, 123–152, <ext-link xlink:href="https://doi.org/10.1023/A:1009604003981" ext-link-type="DOI">10.1023/A:1009604003981</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx52"><?xmltex \def\ref@label{Nenes et al.(1999)}?><label>Nenes et al.(1999)</label><?label nenes1999?><mixed-citation>Nenes, A., Pilinis, C., and  Pandis, S. N.: Continued Development and Testing of a New Thermodynamic Aerosol Module for Urban and Regional Air Quality Models, Atmos. Environ., 33, 1553–1560, <ext-link xlink:href="https://doi.org/10.1016/S1352-2310(98)00352-5" ext-link-type="DOI">10.1016/S1352-2310(98)00352-5</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx53"><?xmltex \def\ref@label{Passant(2002)}?><label>Passant(2002)</label><?label passant2002?><mixed-citation>Passant, N.: Speciation of UK Emissions of Non-methane Volatile Organic Compounds, DEFRA, AEAT/ENV/R/0545 Issue 1, <uri>https://uk-air.defra.gov.uk/assets/documents/reports/empire/AEAT_ENV_0545_final_v2.pdf</uri> (last
access: 20 March 2023), 2002.</mixed-citation></ref>
      <ref id="bib1.bibx54"><?xmltex \def\ref@label{Ryder et al.(2013)}?><label>Ryder et al.(2013)</label><?label ryder2013?><mixed-citation>Ryder, C. L., Highwood, E. J., Rosenberg, P. D., Trembath, J., Brooke, J. K., Bart, M., Dean, A., Crosier, J., Dorsey, J., Brindley, H., Banks, J., Marsham, J. H., McQuaid, J. B., Sodemann, H., and Washington, R.: Optical properties of Saharan dust aerosol and contribution from the coarse mode as measured during the Fennec 2011 aircraft campaign, Atmos. Chem. Phys., 13, 303–325, <ext-link xlink:href="https://doi.org/10.5194/acp-13-303-2013" ext-link-type="DOI">10.5194/acp-13-303-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx55"><?xmltex \def\ref@label{Shangguan et al.(2014)}?><label>Shangguan et al.(2014)</label><?label shangguan2014?><mixed-citation>Shangguan, W., Dai, Y., Duan, Q., Liu, B., and Yuan, H.: A global soil data set for earth system modeling, J. Adv. Model. Earth Sy., 6, 249–263, <ext-link xlink:href="https://doi.org/10.1002/2013MS000293" ext-link-type="DOI">10.1002/2013MS000293</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx56"><?xmltex \def\ref@label{Simmons et al.(2010)}?><label>Simmons et al.(2010)</label><?label simmons2010?><mixed-citation>Simmons, A. J., Willett, K. M., Jones, P. D., Thorne, P. W., and Dee, D. P.: Low-frequency variations in surface atmospheric humidity, temperature and precipitation: inferences from reanalyses and monthly gridded observational datasets, J. Geophys. Res., 115, D01110, <ext-link xlink:href="https://doi.org/10.1029/2009JD012442" ext-link-type="DOI">10.1029/2009JD012442</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx57"><?xmltex \def\ref@label{Sindelarova et al.(2014)}?><label>Sindelarova et al.(2014)</label><?label sindelarova2014?><mixed-citation>Sindelarova, K., Granier, C., Bouarar, I., Guenther, A., Tilmes, S., Stavrakou, T., Müller, J.-F., Kuhn, U., Stefani, P., and Knorr, W.: Global data set of biogenic VOC emissions calculated by the MEGAN model over the last 30 years, Atmos. Chem. Phys., 14, 9317–9341, <ext-link xlink:href="https://doi.org/10.5194/acp-14-9317-2014" ext-link-type="DOI">10.5194/acp-14-9317-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx58"><?xmltex \def\ref@label{Skamarock et al.(2019)}?><label>Skamarock et al.(2019)</label><?label skamarock2019?><mixed-citation>Skamarock, W. C., Klemp, J. B., Dudhia, J., Gill, D. O., Liu, Z., Berner, J., Wang, W., Powers,  J. G., Duda,  M. G., Barker,  D. M., and Huang,  X.-Y.: A Description of the Advanced Research WRF Version 4, NCAR Tech. Note NCAR/TN-556+STR, 145 pp., <ext-link xlink:href="https://doi.org/10.5065/1dfh-6p97" ext-link-type="DOI">10.5065/1dfh-6p97</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx59"><?xmltex \def\ref@label{Song et al.(2022)}?><label>Song et al.(2022)</label><?label song2022?><mixed-citation>Song, Q., Zhang, Z., Yu, H., Kok, J. F., Di Biagio, C., Albani, S., Zheng, J., and Ding, J.: Size-resolved dust direct radiative effect efficiency derived from satellite observations, Atmos. Chem. Phys., 22, 13115–13135, <ext-link xlink:href="https://doi.org/10.5194/acp-22-13115-2022" ext-link-type="DOI">10.5194/acp-22-13115-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx60"><?xmltex \def\ref@label{Stagge et al.(2017)}?><label>Stagge et al.(2017)</label><?label stagge2017?><mixed-citation>Stagge, J. H., Kingston, D. G., Tallaksen, L. M., and David, M. H.: Observed drought indices show increasing divergence across Europe, Sci. Rep., 7, 14045, <ext-link xlink:href="https://doi.org/10.1038/s41598-017-14283-2" ext-link-type="DOI">10.1038/s41598-017-14283-2</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx61"><?xmltex \def\ref@label{Strader et al.(1999)}?><label>Strader et al.(1999)</label><?label strader1999?><mixed-citation>
Strader, R., Lurmann, F., and Pandis, S. N.: Evaluation of secondary organic aerosol formation in winter, Atmos. Environ., 33, 4849–4863, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx62"><?xmltex \def\ref@label{Tsyro et al.(2022)}?><label>Tsyro et al.(2022)</label><?label tsyro2022?><mixed-citation>Tsyro, S., Aas, W., Colette, A., Andersson, C., Bessagnet, B., Ciarelli, G., Couvidat, F., Cuvelier, K., Manders, A., Mar, K., Mircea, M., Otero, N., Pay, M.-T., Raffort, V., Roustan, Y., Theobald, M. R., Vivanco, M. G., Fagerli, H., Wind, P., Briganti, G., Cappelletti, A., D'Isidoro, M., and Adani, M.: Eurodelta multi-model simulated and observed particulate matter trends in Europe in the period of 1990–2010, Atmos. Chem. Phys., 22, 7207–7257, <ext-link xlink:href="https://doi.org/10.5194/acp-22-7207-2022" ext-link-type="DOI">10.5194/acp-22-7207-2022</ext-link>, 2022.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx63"><?xmltex \def\ref@label{Tyagi et al.(2018)}?><label>Tyagi et al.(2018)</label><?label tyagi2018?><mixed-citation>Tyagi, B., Magliulo, V., Finardi, S., Gasbarra, D., Carlucci, P., Toscano, P., Zaldei, A., Riccio, A., Calori, G., D'Allura, A., and Gioli, B.: Performance Analysis of Planetary Boundary Layer Parameterization Schemes in WRF Modeling Set Up over Southern Italy, Atmosphere, 9, 272, <ext-link xlink:href="https://doi.org/10.3390/atmos9070272" ext-link-type="DOI">10.3390/atmos9070272</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx64"><?xmltex \def\ref@label{van der Gon et al.(2011)}?><label>van der Gon et al.(2011)</label><?label gon2011?><mixed-citation>van der Gon, H. D., Hendriks, C., Kuenen, J., Segers, A., and Visschedijk, A.: Description of current temporal emission patterns and sensitivity of predicted AQ for temporal emission patterns, EU FP7 MACC deliverable report D_D-EMIS_1.3, <uri>https://atmosphere.copernicus.eu/sites/default/files/2019-07/MACC_TNO_del_1_3_v2.pdf</uri>
(last
access:
20 March
2023), 2011.</mixed-citation></ref>
      <ref id="bib1.bibx65"><?xmltex \def\ref@label{Vautard et al.(2005)}?><label>Vautard et al.(2005)</label><?label vautard2005?><mixed-citation>
Vautard, R., Bessagnet, B., Chin, M., and Menut, L.: On the contribution of natural aeolian sources to particulate matter concentrations in Europe: Testing hypotheses with a modelling approach, Atmos. Environ., 39, 3291–3303, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx66"><?xmltex \def\ref@label{Wagner et al.(2018)}?><label>Wagner et al.(2018)</label><?label wagner2018?><mixed-citation>Wagner, R., Jähn, M., and Schepanski, K.: Wildfires as a source of airborne mineral dust – revisiting a conceptual model using large-eddy simulation (LES), Atmos. Chem. Phys., 18, 11863–11884, <ext-link xlink:href="https://doi.org/10.5194/acp-18-11863-2018" ext-link-type="DOI">10.5194/acp-18-11863-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx67"><?xmltex \def\ref@label{Wang et al.(2012)}?><label>Wang et al.(2012)</label><?label wang2012?><mixed-citation>Wang, K., Zhang, Y., Nenes, A., and Fountoukis, C.: Implementation of dust emission and chemistry into the Community Multiscale Air Quality modeling system and initial application to an Asian dust storm episode, Atmos. Chem. Phys., 12, 10209–10237, <ext-link xlink:href="https://doi.org/10.5194/acp-12-10209-2012" ext-link-type="DOI">10.5194/acp-12-10209-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx68"><?xmltex \def\ref@label{Wang et al.(2020)}?><label>Wang et al.(2020)</label><?label wang2020?><mixed-citation>Wang, Q., Gub, J., and Wang, X.: The impact of Sahara dust on air quality and public health in European countries, Atmos. Environ., 241, 117771, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2020.117771" ext-link-type="DOI">10.1016/j.atmosenv.2020.117771</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx69"><?xmltex \def\ref@label{Wang et al.(2022)}?><label>Wang et al.(2022)</label><?label wang2022?><mixed-citation>Wang, T., Liu, Y., Cheng, H., Wang, Z., Fu, H., Chen, J., and Zhang, L.: Significant formation of sulfate aerosols contributed by the heterogeneous drivers of dust surface, Atmos. Chem. Phys., 22, 13467–13493, <ext-link xlink:href="https://doi.org/10.5194/acp-22-13467-2022" ext-link-type="DOI">10.5194/acp-22-13467-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx70"><?xmltex \def\ref@label{WBDUST(2022)}?><label>WBDUST(2022)</label><?label WBDUST2022?><mixed-citation>WBDUST: Wind-blown dust module code,  WBDUST [code], <uri>https://www.camx.com/download/support-software/</uri>, last access 30 November 2022.</mixed-citation></ref>
      <ref id="bib1.bibx71"><?xmltex \def\ref@label{WRF(2022)}?><label>WRF(2022)</label><?label WRF2022?><mixed-citation>WRF: Weather Research and Forecast model code, version 4.0 source code,  WRF [code], <uri>https://www2.mmm.ucar.edu/wrf/src/WRFV4.0.TAR.gz</uri>, last access 30 November 2022.</mixed-citation></ref>
      <ref id="bib1.bibx72"><?xmltex \def\ref@label{Yarwood et al.(2010)}?><label>Yarwood et al.(2010)</label><?label yarwood2010?><mixed-citation>
Yarwood, G., Jung, J., Whitten, G. Z., Heo, G., Mellberg, J., and  Estes, E.: Updates to the Carbon Bond Mechanism for Version 6 (CB6), 9th Annual CMAS Conference, October 2010, Chapel Hill,  2010.</mixed-citation></ref>
      <ref id="bib1.bibx73"><?xmltex \def\ref@label{Yuan et al.(2011)}?><label>Yuan et al.(2011)</label><?label yuan2011?><mixed-citation>Yuan, H., Dai, Y., Xiao, Z., Ji, D., and Shangguan, W.: Reprocessing the MODIS Leaf Area Index Products for Land Surface and Climate Modelling, Remote Sens. Environ., 115, 1171–1187, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2011.01.001" ext-link-type="DOI">10.1016/j.rse.2011.01.001</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx74"><?xmltex \def\ref@label{Zhang et al.(2021)}?><label>Zhang et al.(2021)</label><?label zhang2021?><mixed-citation>Zhang, L., Xin, J., Yin, Y., Chang, W., Xue, M., Jia, D., and Ma, Y.: Understanding the Major Impact of Planetary Boundary Layer Schemes on Simulation of Vertical Wind Structure, Atmosphere, 12, 777, <ext-link xlink:href="https://doi.org/10.3390/atmos12060777" ext-link-type="DOI">10.3390/atmos12060777</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx75"><?xmltex \def\ref@label{Zheng et al.(2015)}?><label>Zheng et al.(2015)</label><?label zheng2015?><mixed-citation>Zheng, B., Zhang, Q., Zhang, Y., He, K. B., Wang, K., Zheng, G. J., Duan, F. K., Ma, Y. L., and Kimoto, T.: Heterogeneous chemistry: a mechanism missing in current models to explain secondary inorganic aerosol formation during the January 2013 haze episode in North China, Atmos. Chem. Phys., 15, 2031–2049, <ext-link xlink:href="https://doi.org/10.5194/acp-15-2031-2015" ext-link-type="DOI">10.5194/acp-15-2031-2015</ext-link>, 2015.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx76"><?xmltex \def\ref@label{Zittis et al.(2022)}?><label>Zittis et al.(2022)</label><?label zittis2022?><mixed-citation>Zittis, G., Almazroui, M., Alpert, P., Ciais, P., Cramer, W., Dahdal, Y., Fnais, M., Francis, D.,
Hadjinicolaou, P., Howari, F., Jrrar, A., Kaskaoutis, D. G., Kulmala, M., Lazoglou, G.,
Mihalopoulos, N., Lin, X., Rudich, Y., Sciare, J., Stenchikov, G., Xoplaki, E., and Lelieveld, J.: Climate change and weather extremes in the Eastern Mediterranean and Middle East, Rev. Geophys., 60, e2021RG000762, <ext-link xlink:href="https://doi.org/10.1029/2021RG000762" ext-link-type="DOI">10.1029/2021RG000762</ext-link>, 2022.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx77"><?xmltex \def\ref@label{Groot Zwaaftink et al.(2022)}?><label>Groot Zwaaftink et al.(2022)</label><?label zwaaftink2022?><mixed-citation>Groot Zwaaftink, C. D., Aas, W., Eckhardt, S., Evangeliou, N., Hamer, P., Johnsrud, M., Kylling, A., Platt, S. M., Stebel, K., Uggerud, H., and Yttri, K. E.: What caused a record high 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> episode in northern Europe in October 2020?, Atmos. Chem. Phys., 22, 3789–3810, <ext-link xlink:href="https://doi.org/10.5194/acp-22-3789-2022" ext-link-type="DOI">10.5194/acp-22-3789-2022</ext-link>, 2022.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Modelling the European wind-blown dust emissions and their impact on particulate matter (PM)  concentrations</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Ansmann et al.(2003)</label><mixed-citation>
      
Ansmann, A., Bösenberg, J., Chaikovsky, A., Comerón, A.,  Eckhardt, S.,  Eixmann, R., Freudenthaler, V., Ginoux, P., Komguem, L., Linné, H., López Márquez, M. Á., Matthias, V., Mattis, I.,  Mitev, V., Müller, D., Music, S., Nickovic, S., Pelon, J., Sauvage, L., Sobolewsky, P., Srivastava, M.  K.,  Stohl, A., Torres, O., Vaughan, G., Wandinger, U., and Wiegner, M.: Long-range transport of Saharan dust to northern Europe: The 11–16 October 2001 outbreak observed with EARLINET, J. Geophys. Res., 108, 4783, <a href="https://doi.org/10.1029/2003JD003757" target="_blank">https://doi.org/10.1029/2003JD003757</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Astitha et al.(2012)</label><mixed-citation>
      
Astitha, M., Lelieveld, J., Abdel Kader, M., Pozzer, A., and de Meij, A.: Parameterization of dust emissions in the global atmospheric chemistry-climate model EMAC: impact of nudging and soil properties, Atmos. Chem. Phys., 12, 11057–11083, <a href="https://doi.org/10.5194/acp-12-11057-2012" target="_blank">https://doi.org/10.5194/acp-12-11057-2012</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Belmonte Rivas and Stoffelen(2019)</label><mixed-citation>
      
Belmonte Rivas, M. and Stoffelen, A.: Characterizing ERA-Interim and ERA5 surface wind biases using ASCAT, Ocean Sci., 15, 831–852, <a href="https://doi.org/10.5194/os-15-831-2019" target="_blank">https://doi.org/10.5194/os-15-831-2019</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Benešová et al.(2018)</label><mixed-citation>
      
Benešová, N., Belda, M., Eben, K., Geletič, J., Huszár, P., Juruš, P., Krč, P., Resler, J., and Vlček, O.: New open source emission processor for air quality models, in:  Proceedings of Abstracts 11th International Conference on Air Quality Science and Application, edited by: Sokhi, R., Tiwari, P. R., Gállego, M. J., Craviotto Arnau, J. M., Castells Guiu, C., and Singh, V.,  <a href="https://doi.org/10.18745/PB.19829" target="_blank">https://doi.org/10.18745/PB.19829</a>,  27 pp.,  University of Hertfordshire, Air Quality 2018 conference, 12–16 March 2018, Barcelona,  2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Bessagnet et al.(2008)</label><mixed-citation>
      
Bessagnet, B., Menut, L., Aymoz, G., Chepfer, H., and Vautard, R.: Modelling dust emissions and transport within Europe: the Ukraine March 2007 event, J. Geophys. Res., 113, D15202, <a href="https://doi.org/10.1029/2007JD009541" target="_blank">https://doi.org/10.1029/2007JD009541</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Birmili et al.(2008)</label><mixed-citation>
      
Birmili, W., Schepanski, K., Ansmann, A., Spindler, G., Tegen, I., Wehner, B., Nowak, A., Reimer, E., Mattis, I., Müller, K., Brüggemann, E., Gnauk, T., Herrmann, H., Wiedensohler, A., Althausen, D., Schladitz, A., Tuch, T., and Löschau, G.: A case of extreme particulate matter concentrations over Central Europe caused by dust emitted over the southern Ukraine, Atmos. Chem. Phys., 8, 997–1016, <a href="https://doi.org/10.5194/acp-8-997-2008" target="_blank">https://doi.org/10.5194/acp-8-997-2008</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Bougeault and Lacarrère(1989)</label><mixed-citation>
      
Bougeault, P. and Lacarrère, P.: Parameterization of orography-induced turbulence in a meso-beta-scale model, Mon. Weather Rev., 117, 1872–1890,   <a href="https://doi.org/10.1175/1520-0493(1989)117&lt;1872:POOITI&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1989)117&lt;1872:POOITI&gt;2.0.CO;2</a>, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Buchholz et al.(2019)</label><mixed-citation>
      
Buchholz, R. R., Emmons, L. K., Tilmes, S., and The CESM2 Development Team: CESM2.1/CAM-chem Instantaneous Output for Boundary Conditions, UCAR/NCAR – Atmospheric Chemistry Observations and Modeling Laboratory, Subset used Lat: 10 to 80, Lon: −20 to 50, December 2014–January 2017, UCAR/NCAR Boulder, CO [data set], <a href="https://doi.org/10.5065/NMP7-EP60" target="_blank">https://doi.org/10.5065/NMP7-EP60</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Bullard et al.(2016)</label><mixed-citation>
      
Bullard, J. E., Baddock, M., Bradwell, T., Crusius, J., Darlington, E., Gaiero, D., Gassó, S., Gisladottir, G., Hodgkins, R., McCulloch, R., McKenna-Neuman, C., Mockford, T., Stewart, H., and Thorsteinsson, T.: High-latitude dust in the Earth system, Rev. Geophys., 54, 447–485, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Byun and Ching(1999)</label><mixed-citation>
      
Byun, D. W. and Ching, J. K. S.: Science Algorithms of the EPA Model-3 Community Multiscale Air Quality (CMAQ) Modeling System, Office of Research and Development, U.S. EPA, North Carolina, EPA/600/R-99/030, 1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>CAMx(2020)</label><mixed-citation>
      
CAMx: Comprehensive Air Quality Model With Extensions version 7.10 code, Ramboll US Corporation, Novato, CA 94945, USA [code], <a href="http://camx-wp.azurewebsites.net/download/source" target="_blank"/> (last access: 30 November 2022), 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>CORINE(2012)</label><mixed-citation>
      
CORINE: CORINE Land Cover, European Union, Copernicus Land Monitoring Service 2012, European Environment Agency (EEA) [data set], <a href="https://land.copernicus.eu/pan-european/corine-land-cover" target="_blank"/> (last access: 20 March 2023), 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Chang et al.(1987)</label><mixed-citation>
      
Chang, J. S., Brost,  R. A., Isaksen, I. S. A.,  Madronich, S., Middleton, P., Stockwell, W. R., and Walcek,  C. J.: A Three-dimensional Eulerian Acid Deposition Model: Physical Concepts and Formulation, J. Geophys. Res., 92, 14681–14700, 1987.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Chen and Dudhia(2001)</label><mixed-citation>
      
Chen, F. and Dudhia, J.: Coupling an Advanced Land Surface Hydrology Model with the Penn State-NCAR MM5 Modeling System. Part I: Model Implementation and Sensitivity, Mon. Weather Rev., 129, 569–585, <a href="https://doi.org/10.1175/1520-0493(2001)129&lt;0569:CAALSH&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(2001)129&lt;0569:CAALSH&gt;2.0.CO;2</a>, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Chen and Sun(2002)</label><mixed-citation>
      
Chen, S. and Sun, W.: A one-dimensional time dependent cloud model, J. Meteorol. Soc. Jpn., 80, 99–118,  <a href="https://doi.org/10.2151/jmsj.80.99" target="_blank">https://doi.org/10.2151/jmsj.80.99</a>, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Dorigo et al.(2017)</label><mixed-citation>
      
Dorigo, W. A., Wagner, W., Albergel, C., Albrecht, F., Balsamo, G., Brocca, L., Chung, D., Ertl, M., Forkel, M., Gruber, A., Haas, E., Hamer, D. P., Hirschi, M., Ikonen, J., De Jeu, R., Kidd, R., Lahoz, W., Liu, Y. Y., Miralles, D., and Lecomte, P.: ESA CCI Soil Moisture for improved Earth system understanding: State-of-the art and future directions, Remote Sens. Environ., 203,  185–215, <a href="https://doi.org/10.1016/j.rse.2017.07.001" target="_blank">https://doi.org/10.1016/j.rse.2017.07.001</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Duran et al.(2011)</label><mixed-citation>
      
Durán, O., Claudin, P., and Andreotti, B.: On aeolian transport: Grain-scale interactions, dynamical mechanisms and scaling laws, Aeolian Res., 3, 243–270, <a href="https://doi.org/10.1016/j.aeolia.2011.07.006" target="_blank">https://doi.org/10.1016/j.aeolia.2011.07.006</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>EEA(2021)</label><mixed-citation>
      
EEA: Air Quality e-Reporting products on EEA data service: E1a and E2a data sets, European Environment Agency, Copenhagen, Denmark [data set], <a href="https://discomap.eea.europa.eu/map/fme/AirQualityExport.htm" target="_blank"/> (last access: 27 September 2022), 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Emery et al.(2015)</label><mixed-citation>
      
Emery, C., Jung, J., Koo, B., and Yarwood, G.: Improvements to CAMx Snow Cover Treatments and Carbon Bond Chemical Mechanism for Winter Ozone, Utah Department of Environmental Quality, Division of Air Quality, Salt Lake City, UT, Ramboll Environ, Novato, CA,  <a href="https://www.camx.com/files/udaq_snowchem_final_6aug15.pdf" target="_blank"/> (last access: 20 March 2023), 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Emmons et al.(2020)</label><mixed-citation>
      
Emmons, L. K., Schwantes, R. H., Orlando, J. J., Tyndall, G., Kinnison, D., Lamarque, J.-F., Marsh, D., Mills, M. J., Tilmes, S., Bardeen, C., Buchholz, R. R., Conley, A., Gettelman, A., Garcia, R., Simpson, I., Blake, D. R., Meinardi, S., and Pétron, G.: The Chemistry Mechanism in the Community Earth System Model version 2 (CESM2), J. Adv. Model. Earth Sy., 12, e2019MS001882, <a href="https://doi.org/10.1029/2019MS001882" target="_blank">https://doi.org/10.1029/2019MS001882</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Ramboll(2020)</label><mixed-citation>
      
Ramboll: User's Guide Comprehensive Air Quality Model With Extensions Version 7.10, User Guide, Ramboll US Corporation, Novato, CA 94945, USA, <a href="https://camx-wp.azurewebsites.net/Files/CAMxUsersGuide_v7.10.pdf" target="_blank"/> (last access: 27 September 2022), 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Fairlie et al.(2010)</label><mixed-citation>
      
Fairlie, T. D., Jacob, D. J., Dibb, J. E., Alexander, B., Avery, M. A., van Donkelaar, A., and Zhang, L.: Impact of mineral dust on nitrate, sulfate, and ozone in transpacific Asian pollution plumes, Atmos. Chem. Phys., 10, 3999–4012, <a href="https://doi.org/10.5194/acp-10-3999-2010" target="_blank">https://doi.org/10.5194/acp-10-3999-2010</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Fu et al.(2016)</label><mixed-citation>
      
Fu, X., Wang, S., Chang, X., Cai, S., Xing, J., and Hao, J.: Modeling analysis of secondary inorganic aerosols over China: pollution characteristics, and meteorological and dust impacts, Nature Scientific Reports, 6, 35992, <a href="https://doi.org/10.1038/srep35992" target="_blank">https://doi.org/10.1038/srep35992</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Francis et al.(2022)</label><mixed-citation>
      
Francis, D., Fonseca, R., Nellia, N., Bozkurtbf, D., and BinGuande, G. P.: Atmospheric rivers drive exceptional Saharan dust transport towards Europe, Atmos. Res., 266, 105959, <a href="https://doi.org/10.1016/j.atmosres.2021.105959" target="_blank">https://doi.org/10.1016/j.atmosres.2021.105959</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Giannadaki et al.(2014)</label><mixed-citation>
      
Giannadaki, D., Pozzer, A., and Lelieveld, J.: Modeled global effects of airborne desert dust on air quality and premature mortality, Atmos. Chem. Phys., 14, 957–968, <a href="https://doi.org/10.5194/acp-14-957-2014" target="_blank">https://doi.org/10.5194/acp-14-957-2014</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>GMTED(2010)</label><mixed-citation>
      
GMTED: Global Multi-resolution Terrain Elevation Data 2010 (GMTED2010),  USGS EROS Archive [data set], <a href="https://doi.org/10.5066/F7J38R2N" target="_blank">https://doi.org/10.5066/F7J38R2N</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Grell(1993)</label><mixed-citation>
      
Grell, G.: Prognostic evaluation of assumptions used by cumulus parameterizations, Mon. Weather Rev., 121, 764–787, <a href="https://doi.org/10.1175/1520-0493(1993)121&lt;0764:PEOAUB&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1993)121&lt;0764:PEOAUB&gt;2.0.CO;2</a>, 1993.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Gruber et al.(2019)</label><mixed-citation>
      
Gruber, A., Scanlon, T., van der Schalie, R., Wagner, W., and Dorigo, W.: Evolution of the ESA CCI Soil Moisture climate data records and their underlying merging methodology, Earth Syst. Sci. Data, 11, 717–739, <a href="https://doi.org/10.5194/essd-11-717-2019" target="_blank">https://doi.org/10.5194/essd-11-717-2019</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Gudmundsson et al.(2016)</label><mixed-citation>
      
Gudmundsson, L. and Seneviratne, S. I.: Anthropogenic climate change affects meteorological drought risk in Europe, Environ. Res. Lett., 11, 044005, <a href="https://doi.org/10.1088/1748-9326/11/4/044005" target="_blank">https://doi.org/10.1088/1748-9326/11/4/044005</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Guenther et al.(2012)</label><mixed-citation>
      
Guenther, A. B., Jiang, X., Heald, C. L., Sakulyanontvittaya, T., Duhl, T., Emmons, L. K., and Wang, X.: The Model of Emissions of Gases and Aerosols from Nature version 2.1 (MEGAN2.1): an extended and updated framework for modeling biogenic emissions, Geosci. Model Dev., 5, 1471–1492, <a href="https://doi.org/10.5194/gmd-5-1471-2012" target="_blank">https://doi.org/10.5194/gmd-5-1471-2012</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Hersbach et al.(2017)</label><mixed-citation>
      
Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz‐Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R.J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: Complete ERA5 from 1979: Fifth generation of ECMWF atmospheric reanalyses of the global climate, Copernicus Climate Change Service (C3S) Data Store (CDS) [data set], <a href="https://doi.org/10.24381/cds.adbb2d47" target="_blank">https://doi.org/10.24381/cds.adbb2d47</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Huszar et al.(2016)</label><mixed-citation>
      
Huszar, P., Belda, M., and Halenka, T.: On the long-term impact of emissions from central European cities on regional air quality, Atmos. Chem. Phys., 16, 1331–1352, <a href="https://doi.org/10.5194/acp-16-1331-2016" target="_blank">https://doi.org/10.5194/acp-16-1331-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Huszar et al.(2018)</label><mixed-citation>
      
Huszar, P., Belda, M., Karlický, J., Bardachova, T., Halenka, T., and Pisoft, P.: Impact of urban canopy meteorological forcing on aerosol concentrations, Atmos. Chem. Phys., 18, 14059–14078, <a href="https://doi.org/10.5194/acp-18-14059-2018" target="_blank">https://doi.org/10.5194/acp-18-14059-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Huszar et al.(2020)</label><mixed-citation>
      
Huszar, P., Karlický, J., Ďoubalová, J., Šindelářová, K., Nováková, T., Belda, M., Halenka, T., Žák, M., and Pišoft, P.: Urban canopy meteorological forcing and its impact on ozone and PM<sub>2.5</sub>: role of vertical turbulent transport, Atmos. Chem. Phys., 20, 1977–2016, <a href="https://doi.org/10.5194/acp-20-1977-2020" target="_blank">https://doi.org/10.5194/acp-20-1977-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Iacono et al.(2008)</label><mixed-citation>
      
Iacono, M. J., Delamere, J. S., Mlawer, E. J., Shephard, M. W., Clough, S. A., and Collins, W. D.: Radiative forcing by long-lived greenhouse gases: Calculations with the aer radiative transfer models, J. Geophys. Res.-Atmos., 113, D13103, <a href="https://doi.org/10.1029/2008JD009944" target="_blank">https://doi.org/10.1029/2008JD009944</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Janjic(1994)</label><mixed-citation>
      
Janjic, Z. I.: The step-mountain eta coordinate model: Further developments of the 172 convection, viscous sublayer, and turbulence closure schemes, Mon. Weather Rev., 122, 927–945, <a href="https://doi.org/10.1175/1520-0493(1994)122&lt;0927:TSMECM&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1994)122&lt;0927:TSMECM&gt;2.0.CO;2</a>, 1994.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Kakavas and Pandis(2021)</label><mixed-citation>
      
Kakavas, S. and Pandis, S. N.: Effects of urban dust emissions on fine and coarse PM levels and composition, Atmos. Environ., 246, 118006, <a href="https://doi.org/10.1016/j.atmosenv.2020.118006" target="_blank">https://doi.org/10.1016/j.atmosenv.2020.118006</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Karlický et al.(2018)</label><mixed-citation>
      
Karlický, J., Huszár, P., Halenka, T., Belda, M., Žák, M., Pišoft, P., and Mikšovský, J.: Multi-model comparison of urban heat island modelling approaches, Atmos. Chem. Phys., 18, 10655–10674, <a href="https://doi.org/10.5194/acp-18-10655-2018" target="_blank">https://doi.org/10.5194/acp-18-10655-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Karlický et al.(2020)</label><mixed-citation>
      
Karlický, J., Huszár, P., Nováková, T., Belda, M., Švábik, F., Ďoubalová, J., and Halenka, T.: The “urban meteorology island”: a multi-model ensemble analysis, Atmos. Chem. Phys., 20, 15061–15077, <a href="https://doi.org/10.5194/acp-20-15061-2020" target="_blank">https://doi.org/10.5194/acp-20-15061-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Karydis et al.(2011)</label><mixed-citation>
      
Karydis, V. A., Tsimpidi, A. P., Lei, W., Molina, L. T., and Pandis, S. N.: Formation of semivolatile inorganic aerosols in the Mexico City Metropolitan Area during the MILAGRO campaign, Atmos. Chem. Phys., 11, 13305–13323, <a href="https://doi.org/10.5194/acp-11-13305-2011" target="_blank">https://doi.org/10.5194/acp-11-13305-2011</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Keet et al.(2018)</label><mixed-citation>
      
Keet, A. C., Keller, P. J., and Peng, D. R.: Long-Term Coarse Particulate Matter Exposure Is Associated with Asthma among Children in Medicaid, Am. J. Resp. Crit. Care, 197, 737–746, <a href="https://doi.org/10.1164/rccm.201706-1267OC" target="_blank">https://doi.org/10.1164/rccm.201706-1267OC</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Klingmüller et al.(2018)</label><mixed-citation>
      
Klingmüller, K., Metzger, S., Abdelkader, M., Karydis, V. A., Stenchikov, G. L., Pozzer, A., and Lelieveld, J.: Revised mineral dust emissions in the atmospheric chemistry–climate model EMAC (MESSy 2.52 DU_Astitha1 KKDU2017 patch), Geosci. Model Dev., 11, 989–1008, <a href="https://doi.org/10.5194/gmd-11-989-2018" target="_blank">https://doi.org/10.5194/gmd-11-989-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Klose and Shao(2012)</label><mixed-citation>
      
Klose, M. and Shao, Y.: Stochastic parameterization of dust emission and application to convective atmospheric conditions, Atmos. Chem. Phys., 12, 7309–7320, <a href="https://doi.org/10.5194/acp-12-7309-2012" target="_blank">https://doi.org/10.5194/acp-12-7309-2012</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Korcz et al.(2008)</label><mixed-citation>
      
Korcz, M., Fudała, J., and Kliś, C.: Estimation of wind blown dust emissions in Europe and its vicinity, Atmos. Environ., 43, 1410–1420, <a href="https://doi.org/10.1016/j.atmosenv.2008.05.027" target="_blank">https://doi.org/10.1016/j.atmosenv.2008.05.027</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Kuenen et al.(2014)</label><mixed-citation>
      
Kuenen, J. J. P., Visschedijk, A. J. H., Jozwicka, M., and Denier van der Gon, H. A. C.: TNO-MACC_II emission inventory; a multi-year (2003–2009) consistent high-resolution European emission inventory for air quality modelling, Atmos. Chem. Phys., 14, 10963–10976, <a href="https://doi.org/10.5194/acp-14-10963-2014" target="_blank">https://doi.org/10.5194/acp-14-10963-2014</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Kusaka et al.(2001)</label><mixed-citation>
      
Kusaka, H., Kondo, K., Kikegawa, Y., and Kimura, F.: A simple single-layer urban canopy model for atmospheric models: Comparison with multi-layer and slab models, Bound.-Lay. Meteorol., 101, 329–358, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Lecoeur and Seigneur(2013)</label><mixed-citation>
      
Lecœur, È. and Seigneur, C.: Dynamic evaluation of a multi-year model simulation of particulate matter concentrations over Europe, Atmos. Chem. Phys., 13, 4319–4337, <a href="https://doi.org/10.5194/acp-13-4319-2013" target="_blank">https://doi.org/10.5194/acp-13-4319-2013</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Malaguti et al.(2015)</label><mixed-citation>
      
Malaguti, A., Mircea, M., La Torretta, T. M. G., Telloli, C., Petralia, E., Stracquadanio, M., and Berico, M.: Chemical Composition of Fine and Coarse Aerosol Particles in the Central Mediterranean Area during Dust and Non-Dust Conditions, Aerosol Air Qual. Res., 15, 410–425, <a href="https://doi.org/10.4209/aaqr.2014.08.0172" target="_blank">https://doi.org/10.4209/aaqr.2014.08.0172</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Meinander et al.(2022)</label><mixed-citation>
      
Meinander, O., Dagsson-Waldhauserova, P., Amosov, P., Aseyeva, E., Atkins, C., Baklanov, A., Baldo, C., Barr, S. L., Barzycka, B., Benning, L. G., Cvetkovic, B., Enchilik, P., Frolov, D., Gassó, S., Kandler, K., Kasimov, N., Kavan, J., King, J., Koroleva, T., Krupskaya, V., Kulmala, M., Kusiak, M., Lappalainen, H. K., Laska, M., Lasne, J., Lewandowski, M., Luks, B., McQuaid, J. B., Moroni, B., Murray, B., Möhler, O., Nawrot, A., Nickovic, S., O’Neill, N. T., Pejanovic, G., Popovicheva, O., Ranjbar, K., Romanias, M., Samonova, O., Sanchez-Marroquin, A., Schepanski, K., Semenkov, I., Sharapova, A., Shevnina, E., Shi, Z., Sofiev, M., Thevenet, F., Thorsteinsson, T., Timofeev, M., Umo, N. S., Uppstu, A., Urupina, D., Varga, G., Werner, T., Arnalds, O., and Vukovic Vimic, A.: Newly identified climatically and environmentally significant high-latitude dust sources, Atmos. Chem. Phys., 22, 11889–11930, <a href="https://doi.org/10.5194/acp-22-11889-2022" target="_blank">https://doi.org/10.5194/acp-22-11889-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Metzger et al.(2016)</label><mixed-citation>
      
Metzger, S., Steil, B., Abdelkader, M., Klingmüller, K., Xu, L., Penner, J. E., Fountoukis, C., Nenes, A., and Lelieveld, J.: Aerosol water parameterisation: a single parameter framework, Atmos. Chem. Phys., 16, 7213–7237, <a href="https://doi.org/10.5194/acp-16-7213-2016" target="_blank">https://doi.org/10.5194/acp-16-7213-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Nenes et al.(1998)</label><mixed-citation>
      
Nenes, A., Pilinis, C., and Pandis, S. N.: ISORROPIA: A New Thermodynamic Model for Multiphase Multicomponent Inorganic Aerosols, Aquat. Geochem., 4, 123–152, <a href="https://doi.org/10.1023/A:1009604003981" target="_blank">https://doi.org/10.1023/A:1009604003981</a>, 1998.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Nenes et al.(1999)</label><mixed-citation>
      
Nenes, A., Pilinis, C., and  Pandis, S. N.: Continued Development and Testing of a New Thermodynamic Aerosol Module for Urban and Regional Air Quality Models, Atmos. Environ., 33, 1553–1560, <a href="https://doi.org/10.1016/S1352-2310(98)00352-5" target="_blank">https://doi.org/10.1016/S1352-2310(98)00352-5</a>, 1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Passant(2002)</label><mixed-citation>
      
Passant, N.: Speciation of UK Emissions of Non-methane Volatile Organic Compounds, DEFRA, AEAT/ENV/R/0545 Issue 1, <a href="https://uk-air.defra.gov.uk/assets/documents/reports/empire/AEAT_ENV_0545_final_v2.pdf" target="_blank"/> (last
access: 20 March 2023), 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Ryder et al.(2013)</label><mixed-citation>
      
Ryder, C. L., Highwood, E. J., Rosenberg, P. D., Trembath, J., Brooke, J. K., Bart, M., Dean, A., Crosier, J., Dorsey, J., Brindley, H., Banks, J., Marsham, J. H., McQuaid, J. B., Sodemann, H., and Washington, R.: Optical properties of Saharan dust aerosol and contribution from the coarse mode as measured during the Fennec 2011 aircraft campaign, Atmos. Chem. Phys., 13, 303–325, <a href="https://doi.org/10.5194/acp-13-303-2013" target="_blank">https://doi.org/10.5194/acp-13-303-2013</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Shangguan et al.(2014)</label><mixed-citation>
      
Shangguan, W., Dai, Y., Duan, Q., Liu, B., and Yuan, H.: A global soil data set for earth system modeling, J. Adv. Model. Earth Sy., 6, 249–263, <a href="https://doi.org/10.1002/2013MS000293" target="_blank">https://doi.org/10.1002/2013MS000293</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Simmons et al.(2010)</label><mixed-citation>
      
Simmons, A. J., Willett, K. M., Jones, P. D., Thorne, P. W., and Dee, D. P.: Low-frequency variations in surface atmospheric humidity, temperature and precipitation: inferences from reanalyses and monthly gridded observational datasets, J. Geophys. Res., 115, D01110, <a href="https://doi.org/10.1029/2009JD012442" target="_blank">https://doi.org/10.1029/2009JD012442</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Sindelarova et al.(2014)</label><mixed-citation>
      
Sindelarova, K., Granier, C., Bouarar, I., Guenther, A., Tilmes, S., Stavrakou, T., Müller, J.-F., Kuhn, U., Stefani, P., and Knorr, W.: Global data set of biogenic VOC emissions calculated by the MEGAN model over the last 30 years, Atmos. Chem. Phys., 14, 9317–9341, <a href="https://doi.org/10.5194/acp-14-9317-2014" target="_blank">https://doi.org/10.5194/acp-14-9317-2014</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Skamarock et al.(2019)</label><mixed-citation>
      
Skamarock, W. C., Klemp, J. B., Dudhia, J., Gill, D. O., Liu, Z., Berner, J., Wang, W., Powers,  J. G., Duda,  M. G., Barker,  D. M., and Huang,  X.-Y.: A Description of the Advanced Research WRF Version 4, NCAR Tech. Note NCAR/TN-556+STR, 145 pp., <a href="https://doi.org/10.5065/1dfh-6p97" target="_blank">https://doi.org/10.5065/1dfh-6p97</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Song et al.(2022)</label><mixed-citation>
      
Song, Q., Zhang, Z., Yu, H., Kok, J. F., Di Biagio, C., Albani, S., Zheng, J., and Ding, J.: Size-resolved dust direct radiative effect efficiency derived from satellite observations, Atmos. Chem. Phys., 22, 13115–13135, <a href="https://doi.org/10.5194/acp-22-13115-2022" target="_blank">https://doi.org/10.5194/acp-22-13115-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Stagge et al.(2017)</label><mixed-citation>
      
Stagge, J. H., Kingston, D. G., Tallaksen, L. M., and David, M. H.: Observed drought indices show increasing divergence across Europe, Sci. Rep., 7, 14045, <a href="https://doi.org/10.1038/s41598-017-14283-2" target="_blank">https://doi.org/10.1038/s41598-017-14283-2</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Strader et al.(1999)</label><mixed-citation>
      
Strader, R., Lurmann, F., and Pandis, S. N.: Evaluation of secondary organic aerosol formation in winter, Atmos. Environ., 33, 4849–4863, 1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Tsyro et al.(2022)</label><mixed-citation>
      
Tsyro, S., Aas, W., Colette, A., Andersson, C., Bessagnet, B., Ciarelli, G., Couvidat, F., Cuvelier, K., Manders, A., Mar, K., Mircea, M., Otero, N., Pay, M.-T., Raffort, V., Roustan, Y., Theobald, M. R., Vivanco, M. G., Fagerli, H., Wind, P., Briganti, G., Cappelletti, A., D'Isidoro, M., and Adani, M.: Eurodelta multi-model simulated and observed particulate matter trends in Europe in the period of 1990–2010, Atmos. Chem. Phys., 22, 7207–7257, <a href="https://doi.org/10.5194/acp-22-7207-2022" target="_blank">https://doi.org/10.5194/acp-22-7207-2022</a>, 2022.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Tyagi et al.(2018)</label><mixed-citation>
      
Tyagi, B., Magliulo, V., Finardi, S., Gasbarra, D., Carlucci, P., Toscano, P., Zaldei, A., Riccio, A., Calori, G., D'Allura, A., and Gioli, B.: Performance Analysis of Planetary Boundary Layer Parameterization Schemes in WRF Modeling Set Up over Southern Italy, Atmosphere, 9, 272, <a href="https://doi.org/10.3390/atmos9070272" target="_blank">https://doi.org/10.3390/atmos9070272</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>van der Gon et al.(2011)</label><mixed-citation>
      
van der Gon, H. D., Hendriks, C., Kuenen, J., Segers, A., and Visschedijk, A.: Description of current temporal emission patterns and sensitivity of predicted AQ for temporal emission patterns, EU FP7 MACC deliverable report D_D-EMIS_1.3, <a href="https://atmosphere.copernicus.eu/sites/default/files/2019-07/MACC_TNO_del_1_3_v2.pdf" target="_blank"/>
(last
access:
20 March
2023), 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Vautard et al.(2005)</label><mixed-citation>
      
Vautard, R., Bessagnet, B., Chin, M., and Menut, L.: On the contribution of natural aeolian sources to particulate matter concentrations in Europe: Testing hypotheses with a modelling approach, Atmos. Environ., 39, 3291–3303, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Wagner et al.(2018)</label><mixed-citation>
      
Wagner, R., Jähn, M., and Schepanski, K.: Wildfires as a source of airborne mineral dust – revisiting a conceptual model using large-eddy simulation (LES), Atmos. Chem. Phys., 18, 11863–11884, <a href="https://doi.org/10.5194/acp-18-11863-2018" target="_blank">https://doi.org/10.5194/acp-18-11863-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Wang et al.(2012)</label><mixed-citation>
      
Wang, K., Zhang, Y., Nenes, A., and Fountoukis, C.: Implementation of dust emission and chemistry into the Community Multiscale Air Quality modeling system and initial application to an Asian dust storm episode, Atmos. Chem. Phys., 12, 10209–10237, <a href="https://doi.org/10.5194/acp-12-10209-2012" target="_blank">https://doi.org/10.5194/acp-12-10209-2012</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Wang et al.(2020)</label><mixed-citation>
      
Wang, Q., Gub, J., and Wang, X.: The impact of Sahara dust on air quality and public health in European countries, Atmos. Environ., 241, 117771, <a href="https://doi.org/10.1016/j.atmosenv.2020.117771" target="_blank">https://doi.org/10.1016/j.atmosenv.2020.117771</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Wang et al.(2022)</label><mixed-citation>
      
Wang, T., Liu, Y., Cheng, H., Wang, Z., Fu, H., Chen, J., and Zhang, L.: Significant formation of sulfate aerosols contributed by the heterogeneous drivers of dust surface, Atmos. Chem. Phys., 22, 13467–13493, <a href="https://doi.org/10.5194/acp-22-13467-2022" target="_blank">https://doi.org/10.5194/acp-22-13467-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>WBDUST(2022)</label><mixed-citation>
      
WBDUST: Wind-blown dust module code,  WBDUST [code], <a href="https://www.camx.com/download/support-software/" target="_blank"/>, last access 30 November 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>WRF(2022)</label><mixed-citation>
      
WRF: Weather Research and Forecast model code, version 4.0 source code,  WRF [code], <a href="https://www2.mmm.ucar.edu/wrf/src/WRFV4.0.TAR.gz" target="_blank"/>, last access 30 November 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>Yarwood et al.(2010)</label><mixed-citation>
      
Yarwood, G., Jung, J., Whitten, G. Z., Heo, G., Mellberg, J., and  Estes, E.: Updates to the Carbon Bond Mechanism for Version 6 (CB6), 9th Annual CMAS Conference, October 2010, Chapel Hill,  2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>Yuan et al.(2011)</label><mixed-citation>
      
Yuan, H., Dai, Y., Xiao, Z., Ji, D., and Shangguan, W.: Reprocessing the MODIS Leaf Area Index Products for Land Surface and Climate Modelling, Remote Sens. Environ., 115, 1171–1187, <a href="https://doi.org/10.1016/j.rse.2011.01.001" target="_blank">https://doi.org/10.1016/j.rse.2011.01.001</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>Zhang et al.(2021)</label><mixed-citation>
      
Zhang, L., Xin, J., Yin, Y., Chang, W., Xue, M., Jia, D., and Ma, Y.: Understanding the Major Impact of Planetary Boundary Layer Schemes on Simulation of Vertical Wind Structure, Atmosphere, 12, 777, <a href="https://doi.org/10.3390/atmos12060777" target="_blank">https://doi.org/10.3390/atmos12060777</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>Zheng et al.(2015)</label><mixed-citation>
      
Zheng, B., Zhang, Q., Zhang, Y., He, K. B., Wang, K., Zheng, G. J., Duan, F. K., Ma, Y. L., and Kimoto, T.: Heterogeneous chemistry: a mechanism missing in current models to explain secondary inorganic aerosol formation during the January 2013 haze episode in North China, Atmos. Chem. Phys., 15, 2031–2049, <a href="https://doi.org/10.5194/acp-15-2031-2015" target="_blank">https://doi.org/10.5194/acp-15-2031-2015</a>, 2015.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>Zittis et al.(2022)</label><mixed-citation>
      
Zittis, G., Almazroui, M., Alpert, P., Ciais, P., Cramer, W., Dahdal, Y., Fnais, M., Francis, D.,
Hadjinicolaou, P., Howari, F., Jrrar, A., Kaskaoutis, D. G., Kulmala, M., Lazoglou, G.,
Mihalopoulos, N., Lin, X., Rudich, Y., Sciare, J., Stenchikov, G., Xoplaki, E., and Lelieveld, J.: Climate change and weather extremes in the Eastern Mediterranean and Middle East, Rev. Geophys., 60, e2021RG000762, <a href="https://doi.org/10.1029/2021RG000762" target="_blank">https://doi.org/10.1029/2021RG000762</a>, 2022.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>Groot Zwaaftink et al.(2022)</label><mixed-citation>
      
Groot Zwaaftink, C. D., Aas, W., Eckhardt, S., Evangeliou, N., Hamer, P., Johnsrud, M., Kylling, A., Platt, S. M., Stebel, K., Uggerud, H., and Yttri, K. E.: What caused a record high PM<sub>10</sub> episode in northern Europe in October 2020?, Atmos. Chem. Phys., 22, 3789–3810, <a href="https://doi.org/10.5194/acp-22-3789-2022" target="_blank">https://doi.org/10.5194/acp-22-3789-2022</a>, 2022.

    </mixed-citation></ref-html>--></article>
