<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/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">
  <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-24-11565-2024</article-id><title-group><article-title>Importance of aerosol composition and  aerosol vertical profiles in global spatial  variation in the relationship between  PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and aerosol optical depth</article-title><alt-title>Spatial variation in the PM<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>–AOD relationship and the driving factors</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Zhu</surname><given-names>Haihui</given-names></name>
          <email>haihuizhu@wustl.edu</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Martin</surname><given-names>Randall V.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2632-8402</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>van Donkelaar</surname><given-names>Aaron</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hammer</surname><given-names>Melanie S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Chi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8992-7026</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Meng</surname><given-names>Jun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9716-1051</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Oxford</surname><given-names>Christopher R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4799-9141</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Liu</surname><given-names>Xuan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8619-638X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Yanshun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Dandan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3534-7007</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Singh</surname><given-names>Inderjeet</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Lyapustin</surname><given-names>Alexei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1105-5739</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Energy, Environmental &amp; Chemical Engineering,  Washington University in St. Louis, St. Louis, Missouri, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Civil and Environmental Engineering, Washington State University, Pullman, Washington, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratory for Atmospheres, NASA Goddard Space Flight Center, Greenbelt, Maryland, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Haihui Zhu (haihuizhu@wustl.edu)</corresp></author-notes><pub-date><day>16</day><month>October</month><year>2024</year></pub-date>
      
      <volume>24</volume>
      <issue>20</issue>
      <fpage>11565</fpage><lpage>11584</lpage>
      <history>
        <date date-type="received"><day>28</day><month>March</month><year>2024</year></date>
           <date date-type="accepted"><day>27</day><month>August</month><year>2024</year></date>
           <date date-type="rev-recd"><day>3</day><month>August</month><year>2024</year></date>
           <date date-type="rev-request"><day>5</day><month>April</month><year>2024</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2024 Haihui Zhu et al.</copyright-statement>
        <copyright-year>2024</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/24/11565/2024/acp-24-11565-2024.html">This article is available from https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e221">Ambient fine particulate matter (<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><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>) is the leading global environmental determinant of mortality. However, large gaps exist in ground-based <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><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> monitoring. Satellite remote sensing of aerosol optical depth (AOD) offers information to help fill these gaps worldwide when augmented with a modeled <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><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>–AOD relationship. This study aims to understand the spatial pattern and driving factors of this relationship by examining <inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M7" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">AOD</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula>) using both observations and modeling. A global observational estimate of <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> for the year 2019 is inferred from 6870 ground-based <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><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> measurement sites and satellite-retrieved AOD. The global chemical transport model GEOS-Chem, in its high-performance configuration (GCHP), is used to interpret the observed spatial pattern of annual mean <inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Measurements and the GCHP simulation consistently identify a global population-weighted mean <inline-formula><mml:math id="M11" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value of 96–98 <inline-formula><mml:math id="M12" 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 regional values ranging from 59.8 <inline-formula><mml:math id="M13" 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 North America to more than 190 <inline-formula><mml:math id="M14" 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 Africa. The highest <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value is found in arid regions, where aerosols are less hygroscopic due to mineral dust, followed by regions strongly influenced by surface aerosol sources. Relatively low <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values are found over regions distant from strong aerosol sources. The spatial correlation of observed <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values with meteorological fields, aerosol vertical profiles, and aerosol chemical composition reveals that spatial variation in <inline-formula><mml:math id="M18" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> is strongly influenced by aerosol composition and aerosol vertical profiles. Sensitivity tests with globally uniform parameters quantify the effects of aerosol composition and aerosol vertical profiles on spatial variability in <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, exhibiting a population-weighted mean difference in aerosol composition of 12.3 <inline-formula><mml:math id="M20" 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 reflects the determinant effects of composition on aerosol hygroscopicity and aerosol optical properties, and a population-weighted mean difference in the aerosol vertical profile of 8.4 <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>, which reflects spatial variation in the column–surface relationship.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Earth Sciences Division</funding-source>
<award-id>80NSSC22K0200</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="d1e454">Exposure to ambient fine particulate matter (<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><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>) has been recognized as the predominant environmental risk factor for the global burden of disease, leading to millions of deaths annually (Brauer et al., 2024). Even at low <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><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> concentrations, long-term exposure can increase circulatory- and respiratory-related mortality (Christidis et al., 2019; Pinault et al., 2016; Weichenthal et al., 2022). Despite the importance of <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><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>, many countries do not provide publicly accessible <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><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> data (Martin et al., 2019). Satellite remote sensing of aerosol optical depth (AOD), an optical measure of aerosol abundance, offers information about the distribution of <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><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> (Kondragunta et al., 2022). A large community relies upon the spatial distribution of <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><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> concentrations inferred from satellite AOD and modeled <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><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>–AOD relationships for health impact assessments and epidemiological analyses of long-term exposure (Brauer et al., 2024; Burnett et al., 2018; Cohen et al., 2017; Hao et al., 2023). Quantitative applications of satellite AOD for long-term characterizations of the spatial distribution of <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><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> would benefit from a better understanding of the factors affecting the <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><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>–AOD relationship.</p>
      <p id="d1e557">The relationship between satellite AOD and surface <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><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> can be established through statistical methods, geophysical methods, or a combination of the two. Statistical methods use ground-based monitors for training and are well suited for regions with dense monitoring networks (Di et al., 2016; Hu et al., 2014; Xin et al., 2014). Geophysical approaches utilize chemical transport models to simulate the relationship (<inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>) between <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><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 AOD for application to satellite AOD (van Donkelaar et al., 2006, 2010; He et al., 2021) and thus depend on accurate model representations of <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Van Donkelaar et al. (2015, 2016) combined the two types of methods by applying geographically weighted regression (GWR) to geophysical <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><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>, further constraining geophysical <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><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> using ground measurements and other predictors. However, the accuracy of geophysical <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><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> remains critical across vast areas with sparse monitoring, and knowledge about the factors affecting spatial variability in <inline-formula><mml:math id="M38" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> is needed to guide improvements of modeled <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> and geophysical <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><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>.</p>
      <p id="d1e655">Previous studies have identified several factors that affect <inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> variability, including aerosol vertical distribution; aerosol hygroscopicity; aerosol optical properties; and ambient meteorological factors, such as relative humidity (RH), planetary boundary layer height (PBLH), wind speed, temperature, and fire events (van Donkelaar et al., 2013; Ford and Heald, 2016; Guo et al., 2017; Jin et al., 2019; Li et al., 2015; Wendt et al., 2023). Most studies have focused on temporal variability in <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> and have found associations with meteorological variables, such as PBLH (Chu et al., 2015; Damascena et al., 2021; Gupta et al., 2006; He et al., 2021; Yang et al., 2019; Zhang et al., 2009). A few studies have examined regional-scale spatial variation in <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> with meteorological and land-type variables, as well as aerosol vertical profiles, in North America (van Donkelaar et al., 2006; Jin et al., 2020; Li et al., 2015) and China (Yang et al., 2019). To our knowledge, no studies have examined global-scale factors affecting spatial variation in <inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> or the effects of chemical composition.</p>
      <p id="d1e686">In this work, we examine the knowledge gap regarding spatial variation in <inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> at a global scale. We first collect data from more than 6000 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><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> monitoring sites across 10 networks, along with satellite AOD data, to obtain an observation-based map of <inline-formula><mml:math id="M47" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. We further interpret the global <inline-formula><mml:math id="M48" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> distribution using the GEOS-Chem model of atmospheric composition, incorporating recent improvements in aerosol size representation, <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><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> diel variation, and vertical allocation. By decomposing the simulation of <inline-formula><mml:math id="M50" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, we identify two strong drivers of spatial variability in <inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>: aerosol composition and aerosol vertical profiles. We conduct sensitivity tests using GEOS-Chem to study how these two factors vary globally and how they contribute to spatial variation in <inline-formula><mml:math id="M52" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Ground-measured <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><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></title>
      <p id="d1e780">We collect ground-based measurements of <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><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> for the year 2019 to produce observational constraints on <inline-formula><mml:math id="M55" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M56" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">AOD</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula>), the spatially and temporally varying ratio between 24 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> surface <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><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> concentrations and total column AOD at the satellite sampling time. At the time of paper preparation, the year 2019 offered the greatest density of measurements and the most current emission inventory. We obtain <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><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> measurements from seven regional networks and three global networks, as shown in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F6"/>. For the United States, we access data from the United States Environmental Protection Agency's Air Quality System (<uri>https://www.epa.gov/outdoor-air-quality-data/download-daily-data</uri>, last access: 12 October 2024), including both Federal Reference Method and non-Federal Reference Method <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><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> (e.g., from the Interagency Monitoring of Protected Visual Environments (IMPROVE) network). <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><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> data for Canada are from Environment Canada's National Air Pollution Surveillance (NAPS) program. <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><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> data for Europe are from the European Environment Agency's Air Quality e-Reporting system (<uri>https://www.eea.europa.eu/data-and-maps/data/aqereporting</uri>, last access: 12 October 2024). For mainland China, <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><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> measurements from national and provincial environmental protection agencies are downloaded from <uri>https://quotsoft.net/air/</uri> (last access: 12 October 2024). For India, <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><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> data are originally from the Central Pollution Control Board's Continuous Ambient Air Quality Monitoring network and the US embassies. Data quality checks follow Zhou et al. (2024). For Australia, observations are sourced from the Northern Territory (<uri>http://ntepa.webhop.net/NTEPA/</uri>, last access: 12 October 2024), Queensland (<uri>https://www.data.qld.gov.au/dataset/</uri>, last access: 12 October 2024), and New South Wales (<uri>https://www.dpie.nsw.gov.au/air-quality/air-quality-data-services/data-download-facility</uri>, last access: 12 October 2024). We require at least 5 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> of measurements for each month for monitoring to be included. Additionally, we obtain <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><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> measurements from other regions, provided by the World Health Organization (WHO) Ambient Air Quality Database (<uri>https://www.who.int/data/gho/data/themes/air-pollution/who-air-quality-database/2022</uri>, last access: 12 October 2024); OpenAQ (<uri>https://openaq.org/</uri>, last access: 12 October 2024); and the Surface Particulate Matter Network (SPARTAN; <uri>https://www.spartan-network.org/</uri>, last access: 12 October 2024), which is co-located with the Aerosol Robotic Network (AERONET). SPARTAN also provides filter-based <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><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> chemical compositions, which are initially described in Snider et al. (2016). Subsequent developments in the sampling and analysis procedures of SPARTAN include upgrading the AirPhoton SS5 sampling station to use a cyclone inlet, an automated weighing system (MTL AH500E) that improves precision and throughput, additional black-carbon analysis using the Hybrid Integrating Plate and Sphere system (White et al., 2016), elements measured via X-ray fluorescence (Liu et al., 2024), and a global mineral-dust equation (Liu et al., 2022). We require at least 50 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> of coincident <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><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 AERONET AOD measurements for a SPARTAN site to be included in our analysis.</p>
      <p id="d1e984">We also collected publicly available <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><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> compositional data to assess the composition simulated with the high-performance version of GEOS-Chem (GCHP). Long-term <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><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> compositional data from the United States Environmental Protection Agency's Air Quality System, the European Environment Agency's Air Quality e-Reporting system, and SPARTAN are included, with a total of 365 sites covering the US (306), Europe (37), and the Global South (22).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Satellite AOD</title>
      <p id="d1e1017">We obtain AOD at 550 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> from the Multi-Angle Implementation of Atmospheric Correction (MAIAC) algorithm, which offers AOD at a high spatial resolution of 1 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> worldwide over both land and coastal regions (Lyapustin et al., 2018). The radiances used in the retrieval are measured by the twin Moderate Resolution Imaging Spectroradiometer (MODIS) instruments onboard the Terra and Aqua satellites. The Terra satellite follows a descending orbital path, crossing the Equator at 10:30 LT, while the Aqua satellite follows an ascending orbit, with a 13:30 LT equatorial crossing. Both MODIS instruments offer a wide swath width of 2330 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, enabling nearly global daily coverage of the Earth (Sayer et al., 2014). <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><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> monitoring sites with an annual mean satellite AOD of less than 0.05 (the background AOD level over land) are excluded to reduce the influence of retrieval uncertainties on our analysis.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>AERONET AOD</title>
      <p id="d1e1064">AERONET is a worldwide sun photometer network that provides long-term measurements of AOD. We use Version 3 of the Level-2 database, which includes an improved cloud screening algorithm (Giles et al., 2019). We sample AERONET AOD within <inline-formula><mml:math id="M76" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> of the satellite overpass time and interpolate to a 550 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> wavelength, based on the local Ångström exponent at 440 and 670 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. For SPARTAN sites, we sample AERONET data coincidentally with SPARTAN aerosol composition to obtain the ground-based observation of <inline-formula><mml:math id="M80" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>GEOS-Chem simulation</title>
      <p id="d1e1113">We simulate <inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> with the chemical transport model GEOS-Chem  (<uri>https://www.geos-chem.org</uri>, last access: 26 October 2023), driven by offline meteorological data (MERRA-2) from the Goddard Earth Observing System (GEOS) of the NASA Global Modeling and Assimilation Office (Schubert et al., 1993). We use version 13.4.0 of the high-performance configuration of GEOS-Chem (GCHP; Eastham et al., 2018) (DOI: <ext-link xlink:href="https://doi.org/10.5281/zenodo.7254268" ext-link-type="DOI">10.5281/zenodo.7254268</ext-link>), which includes advances in performance and usability (Martin et al., 2022). The simulation is conducted for the year 2019 on a C90 cubed-sphere grid corresponding to a horizontal resolution of about 100 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, with a spin-up time of 1 month.</p>
      <p id="d1e1137">The GEOS-Chem aerosol simulation includes a sulfate–nitrate–ammonium (SNA) system (Fountoukis and Nenes, 2007), primary and secondary carbonaceous aerosols (Pai et al., 2020; Park et al., 2003; Wang et al., 2014), sea salt (Jaeglé et al., 2011), and both natural (Fairlie et al., 2007; Meng et al., 2021) and anthropogenic (Philip et al., 2017) dust. Emissions are processed with the Harmonized Emissions Component (HEMCO) (Lin et al., 2021). The primary emission data are from version 2 of the Community Emissions Data System (CEDS v2; Hoesly et al., 2018; CEDS, 2024) for the year 2019. Emissions from stacks are distributed vertically (Bieser et al., 2011). Diel variation in anthropogenic emissions is included (Li et al., 2023). Resolution-dependent soil <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, sea salt, biogenic volatile organic compounds (VOCs), and natural dust emissions are calculated offline at a native meteorological resolution to produce consistent emissions across resolutions (Meng et al., 2021; Weng et al., 2020). Biomass-burning emissions use version 4 of the Global Fire Emissions Database (GFED4) at a daily resolution (van der Werf et al., 2017) for the year 2019. We estimate organic matter (OM) from primary organic carbon (OC) using an <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula> parameterization (Canagaratna et al., 2015; Philip et al., 2014b). For secondary aerosol components, the concentration at 2 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above the surface is used to calculate <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><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>, following Li et al. (2023). A 50 % reduction in surface nitrate concentration is applied to account for the long-standing bias in surface nitrate simulated by GEOS-Chem (Heald et al., 2012; Miao et al., 2020; Travis et al., 2022; Zhai et al., 2021; Zhang et al., 2012; see also Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F7"/> in this paper) and other models, such as CMAQ (Shimadera et al., 2014), WRF-Chem (Sha et al., 2019), and the European Monitoring and Evaluation Programme's Meteorological Synthesizing Centre – West (EMEP MSC-W; Prank et al., 2016). Despite this bias, GEOS-Chem can sufficiently represent variability in nitrate, making it suitable for applications in studies at global (McDuffie et al., 2021; Weagle et al., 2018) and regional (Geng et al., 2017; Kim et al., 2015; Philip et al., 2014a; Zhai et al., 2021) scales. Both dry and wet deposition follow Amos et al. (2012), using a standard resistance-in-series dry-deposition scheme (Wang et al., 1998). Wet deposition includes scavenging processes from convection and large-scale precipitation (Liu et al., 2001).</p>
      <p id="d1e1184">Global RH-dependent aerosol optical properties are based on the Global Aerosol Data Set (GADS) (Kopke et al., 1997), as originally implemented by Martin et al. (2003), with updates for SNA and OM dry sizes (Zhu et al., 2023), hygroscopicity (Latimer and Martin, 2019), mineral dust size distribution (Zhang et al., 2013), and absorbing brown carbon (Hammer et al., 2016). These updates enable GEOS-Chem to capture 74 % of the AOD spatial variability in comparison to AERONET (Zhu et al., 2023). A slight systematic low bias relative to MAIAC AOD is found, with an intercept of <inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05 and a population-weighted mean difference (PWMD) of <inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.04. Low bias in simulated AOD is also reported for other models, such as CMAQ (Jin et al., 2019) and WRF-Chem (Benavente et al., 2023). We artificially increase simulated AOD by 0.04 globally to address this poorly understood systematic bias, which, although minor, is useful for the representation of <inline-formula><mml:math id="M89" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (with the PWMD reduced from 20.6 to 1.9 <inline-formula><mml:math id="M90" 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>). <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><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> is calculated as the sum of each component at 35 % RH in accordance with common measurement protocols.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Population</title>
      <p id="d1e1247">Global population information is obtained from the Gridded Population of the World, provided by the NASA Socioeconomic Data and Applications Center (Center for International Earth Science Information Network, 2018).</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Sensitivity tests with globally uniform parameters</title>
      <p id="d1e1258">We conduct sensitivity tests for factors affecting spatial variation in <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, with a focus on aerosol composition and aerosol vertical profiles. To understand the relative importance of these factors, we impose a constant for each factor and simulate the corresponding <inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value. The difference between the test scenario and the base scenario reflects the change due to variation in the factor. We use the global population-weighted mean (PWM) and population-weighted mean difference (PWMD) to summarize changes, with a focus on the relevance to population exposure: 

                <disp-formula specific-use="align"><mml:math id="M94" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>X</mml:mi><mml:mtext>PWM</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>PWMD</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="normal">|</mml:mi></mml:mrow><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M95" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M96" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> are grid box identifiers. <inline-formula><mml:math id="M97" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M98" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> could be any variables of interest, and <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi mathvariant="normal">|</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula> is the absolute value of their difference. <inline-formula><mml:math id="M100" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> represents the population density for each grid box.</p>
      <p id="d1e1503">The first test imposes globally uniform aerosol chemical composition, calculated as the global PWM aerosol component fraction (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mtext>PWM</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), which is expressed as
            <disp-formula id="Ch1.Ex3"><mml:math id="M102" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mtext>PWM</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M103" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M104" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M105" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> are grid box identifiers along the latitude, longitude, and vertical layer, respectively. <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the fraction of the aerosol component (<inline-formula><mml:math id="M107" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>) in the total aerosol mass. This test keeps the total columnar aerosol mass and aerosol vertical profile unchanged.</p>
      <p id="d1e1652">The second test imposes a globally uniform aerosol vertical profile, calculated as the PWM relative vertical profile (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mtext>PWM</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), which is expressed as
            <disp-formula id="Ch1.Ex4"><mml:math id="M109" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mtext>PWM</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>j</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the relative dry-mass ratio compared to the surface. The total mass loading and relative chemical composition remain unchanged.</p>
      <p id="d1e1785">We analyze global and regional variations in both <inline-formula><mml:math id="M111" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> and the driving factors. The definitions of the regions used in this study are summarized in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F8"/>.</p>

      <fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d1e1800"><bold>(a)</bold> Observed (OBS) and <bold>(b)</bold> simulated (SIM) annual mean <inline-formula><mml:math id="M112" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> for 2019. Circles represent ground measurement sites from regional networks or the World Health Organization. Squares represent co-located ground-measured <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><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> data from SPARTAN and AOD data from AERONET. PWM stands for the population-weighted mean, while <inline-formula><mml:math id="M114" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> refers to the coefficient of variation (the standard deviation divided by the mean).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f01.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Global spatial pattern of <inline-formula><mml:math id="M115" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula></title>
      <p id="d1e1862">Figure <xref ref-type="fig" rid="Ch1.F1"/>a shows observation-based  annual mean <inline-formula><mml:math id="M116" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, inferred from the ratio of ground-measured <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><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> to MAIAC AOD. Measurements are most dense in North America, Europe, and East Asia. The annual mean <inline-formula><mml:math id="M118" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value varies substantially, from 7.8 <inline-formula><mml:math id="M119" 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 Hawaii to 504 <inline-formula><mml:math id="M120" 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 Mongolia, with a PWM of 96.1 <inline-formula><mml:math id="M121" 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>. Higher PWM <inline-formula><mml:math id="M122" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values of 154 to 196 <inline-formula><mml:math id="M123" 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> exist over desert regions, such as Africa and West Asia, and PWM <inline-formula><mml:math id="M124" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values of 97 to 119 <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> are observed over regions strongly influenced by anthropogenic aerosols, such as East Asia and South Asia (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F9"/> and Table <xref ref-type="table" rid="App1.Ch1.S1.T1"/>). Over North America, <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values are around 60 <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> in the east and in California, more than double the values observed in the Rockies, and are driven by the spatial pattern of surface <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><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> (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F9"/>). The PWM <inline-formula><mml:math id="M129" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value for North America, at 59.8 <inline-formula><mml:math id="M130" 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>, is about 30 % lower than the global PWM. The <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> pattern found here is similar to that reported by Jin et al. (2020) for the US. In Europe, <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> also varies noticeably between the east and the west, driven by the spatial pattern of surface <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><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>, as <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><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> increases by 60 % from west to east, while AOD increases by only 8 %. The PWM <inline-formula><mml:math id="M135" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value for Europe is 92.3 <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 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>, slightly lower than the global PWM. In Asia, measured <inline-formula><mml:math id="M137" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> is concentrated in China and India. In China, the <inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> spatial pattern shows a clear distinction between the northern and southern regions, driven by the higher AOD in the south (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F10"/>), where relative humidity is high. A similar <inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> spatial pattern and a negative correlation between <inline-formula><mml:math id="M140" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> and RH are reported by Yang et al. (2019). In India, <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> is highest in the northwest, where a PWM <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value of 129 <inline-formula><mml:math id="M143" 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> is observed, and decreases to about 80 <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 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> toward the east and the south. Both <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><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 AOD follow the same spatial pattern, while <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><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> exhibits a stronger decreasing tendency (Figs. <xref ref-type="fig" rid="App1.Ch1.S1.F9"/> and <xref ref-type="fig" rid="App1.Ch1.S1.F10"/>). The PWM <inline-formula><mml:math id="M147" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value for Asia is 102 <inline-formula><mml:math id="M148" 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 highest value among populous regions and 6.0 % higher than the global PWM. Globally, from west to east, <inline-formula><mml:math id="M149" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> increases by about 70 %, despite the fact that both <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><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 AOD increase more than 3-fold (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>). The coefficient of variation (i.e., the standard deviation divided by the mean) for <inline-formula><mml:math id="M151" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> is higher in Europe (<inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M153" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.31) and Asia (<inline-formula><mml:math id="M154" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M155" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.36) than in North America (<inline-formula><mml:math id="M156" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.25; Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>).</p>
      <p id="d1e2345">Figure <xref ref-type="fig" rid="Ch1.F1"/>b shows GCHP-simulated <inline-formula><mml:math id="M158" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, the ratio between simulated 24 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> mean surface <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><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 simulated total column AOD at the satellite overpass time. The simulation generally reproduces the global observations of <inline-formula><mml:math id="M161" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, with a tendency for high values in arid regions influenced by dust and a tendency for low values in regions distant from strong surface sources. Simulated global PWM <inline-formula><mml:math id="M162" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values are 2 % higher than the observed values (98.1 vs. 96.1 <inline-formula><mml:math id="M163" 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>), mostly driven by an overestimation in East Asia (108 vs. 96.9 <inline-formula><mml:math id="M164" 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 reflects an overestimation of PWM <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><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> (43.3 vs. 38.0 <inline-formula><mml:math id="M166" 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 simulation generally reproduces the regional spatial pattern in North America and Asia but underestimates <inline-formula><mml:math id="M167" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> variability in Europe as it overestimates <inline-formula><mml:math id="M168" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> in central Europe and underestimates <inline-formula><mml:math id="M169" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> in Eastern Europe, which is due to a positive bias in simulated <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><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> in central Europe and a positive bias in simulated AOD in Eastern Europe. Nonetheless, the PWM <inline-formula><mml:math id="M171" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> value for Europe (83.6 <inline-formula><mml:math id="M172" 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>) is within 9.4 % of the observations. Globally, there is overall consistency between simulated <inline-formula><mml:math id="M173" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> and observed <inline-formula><mml:math id="M174" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, with a correlation of 0.59, resulting in a high degree of consistency between geophysical <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><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 measured <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><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> (<inline-formula><mml:math id="M177" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M178" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.89; Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>). Evaluation of the simulation of <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><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> chemical composition versus ground-based measurements reveals a high degree of consistency (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F7"/>), which supports further assessment of the factors affecting <inline-formula><mml:math id="M180" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>.</p>

      <fig id="Ch1.F2" specific-use="star"><label>Figure 2</label><caption><p id="d1e2594">Spatial correlation between annual mean modeled parameters and observation-based <inline-formula><mml:math id="M181" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Blue bars indicate positive correlations. Red bars indicate negative correlations. The stars above each bar indicate the <inline-formula><mml:math id="M182" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value associated with each correlation: “<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>” indicates a <inline-formula><mml:math id="M184" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value lower than 0.001, and “<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>” indicates a <inline-formula><mml:math id="M186" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value lower than 0.01.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f02.png"/>

        </fig>

      <p id="d1e2659">We explore the dominant driving factors for spatial variation in <inline-formula><mml:math id="M187" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> by calculating the spatial correlation between each candidate factor and observation-based <inline-formula><mml:math id="M188" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. The candidate factors examined include meteorological fields (MERRA-2), aerosol vertical profiles, and aerosol composition, as collected from the GCHP simulation or SPARTAN. Meteorological fields include those commonly regarded as representing temporal variation in <inline-formula><mml:math id="M189" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, such as PBLH, RH at 700 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>, wind speed at 10 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, and temperature at 2 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Chu et al., 2015; Damascena et al., 2021; He et al., 2021; Yang et al., 2019). The aerosol vertical profile is represented as the AOD fraction below 1 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (i.e., the AOD percentage below 1 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>). The aerosol composition includes SNA, OM, dust, black carbon, and sea salt, all represented as fractional contributions to surface <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><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> (expressed as percentages). Figure <xref ref-type="fig" rid="Ch1.F2"/> shows the spatial correlation of annual mean factors versus observation-based <inline-formula><mml:math id="M196" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Aerosol components, particularly those with strong primary sources (dust, OM, and black carbon), exhibit the strongest correlations with observation-based <inline-formula><mml:math id="M197" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M198" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 0.27). Significant positive correlations are found for mineral dust and black carbon, both of which are non-hygroscopic or weakly hygroscopic. Significant negative correlations are found for organic matter and sea salt, reflecting the weak connection between surface concentrations and AOD aloft. The processes are further discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/> and <xref ref-type="sec" rid="Ch1.S3.SS4"/>. The aerosol vertical profile exhibits a moderate correlation with <inline-formula><mml:math id="M199" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (0.14), which is notably higher than that of any meteorological factors (<inline-formula><mml:math id="M200" display="inline"><mml:mo lspace="0mm">⩽</mml:mo></mml:math></inline-formula> 0.10). Ground-based data from SPARTAN and AERONET corroborate the correlation between aerosol composition and <inline-formula><mml:math id="M201" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F12"/>). Thus, in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>–<xref ref-type="sec" rid="Ch1.S3.SS4"/>, we focus further analysis on the two main drivers of <inline-formula><mml:math id="M202" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>: aerosol composition and aerosol vertical profiles.</p>
      <p id="d1e2798">The drivers of spatial variation in <inline-formula><mml:math id="M203" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> found here differ from the drivers of temporal variation in <inline-formula><mml:math id="M204" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> observed in prior work (e.g., He et al., 2021), reflecting the different processes involved. Meteorological parameters drive short-term variability in the aerosol vertical profile, such as day-to-day variation in mixed-layer depth or in advection from a point source. In contrast, the spatial variation in annual mean <inline-formula><mml:math id="M205" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> reflects the spatial variation in processes affecting the long-term relationship between surface <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><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> at a controlled RH of 35 % and AOD at an ambient RH. Aerosol composition and the aerosol vertical profile reflect spatial variation in aerosol hygroscopicity, mass extinction efficiency, and sources. The following sections explore how aerosol composition and aerosol vertical profiles vary globally and examine how they affect the spatial pattern of <inline-formula><mml:math id="M207" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> by conducting two sensitivity tests. In each sensitivity test, we replace the spatial variability in a factor with a globally uniform value. The variability in aerosol composition and aerosol vertical profiles is discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/> and <xref ref-type="sec" rid="Ch1.S3.SS3"/>, respectively. The sensitivity test results are discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>.</p>

      <fig id="Ch1.F3" specific-use="star"><label>Figure 3</label><caption><p id="d1e2849">Global and regional PWM contributions of aerosol composition to surface <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><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> <bold>(a)</bold> and AOD <bold>(b)</bold>. The global area-weighted mean (AWM) over land is also included and represented in the second bar.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f03.png"/>

        </fig>


</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Spatial variability in aerosol composition</title>
      <p id="d1e2885">Figure <xref ref-type="fig" rid="Ch1.F3"/> shows the simulated PWM aerosol composition globally and regionally, as well as the global area-weighted mean (AWM). Figure 3a shows the compositional contribution to <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><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>. Globally, dust is the leading PWM <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><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> component (34.7 %), followed by OM (31.9 %) and SNA (29.3 %). Figure 3b shows the compositional contribution to AOD. The PWM AOD composition is more evenly distributed, with a larger contribution from SNA (49.9 %), followed by smaller contributions from OM (27.2 %) and dust (16.1 %). Overall, aerosols that are more hygroscopic, such as SNA, tend to contribute a larger fraction of AOD at an ambient RH, while aerosols that are less hygroscopic, such as mineral dust, tend to contribute a larger fraction of <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><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> at a controlled RH of 35 %. The AWM <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><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 AOD compositions exhibit weaker contributions from SNA, primarily reflecting a larger contribution from dust in remote regions compared to more densely populated areas. Over populous regions, such as North America, Europe, and Southeast Asia, the SNA and OM fractions are greater than the global mean (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Arid regions, such as West Asia, the Middle East, North Africa, and Sub-Saharan Africa, exhibit large fractions of non-hygroscopic mineral dust that (1) reduce the aerosol mass extinction efficiency, yielding less AOD per unit mass, and (2) are unaffected by the controlled RH of <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><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>. Both of these factors increase <inline-formula><mml:math id="M214" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> in dusty regions compared to regions dominated by hygroscopic SNA aerosols.</p>

      <fig id="Ch1.F4" specific-use="star"><label>Figure 4</label><caption><p id="d1e2957"><bold>(a)</bold> Map of the AOD fraction below 1 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. <bold>(b)</bold> Global and regional statistics for the AOD fraction below 1 <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. Black triangles show the area-weighted mean. Red circles show the PWM. The line inside each box represent the sample median. The top and bottom edges of the boxes represent the 75th and 25th quartiles, respectively. Vertical bars represent the maximum and minimum values within 1.5 times the interquartile range. The dashed line indicates the global PWM.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Spatial variability in aerosol vertical profiles</title>
      <p id="d1e2995">Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the AOD fraction below 1 <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in the GEOS-Chem simulation. Globally, 35.3 % of the PWM AOD is below 1 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The PWM value is greater than the AWM value since populated areas tend to have more surface emissions of particles and precursors. Over North America, Europe, and East Asia, the PWM surface AOD fractions are much higher than the medians and AWM, indicating high spatial heterogeneity between urban and remote areas. Europe exhibits the highest variation and the largest discrepancy between the PWM and AWM, reflecting the largest spatial heterogeneity in the aerosol vertical profile, driven by influences from regional pollution, marine aerosols, and transported dust (Zhao et al., 2018). Southeast Asia has the highest surface AOD fraction and large variation. Local sources, long-range-transported dust, and the influence of trade winds all contribute to the unique spatial variation in aerosol vertical profiles in this region (Banerjee et al., 2021; Nguyen et al., 2019). Globally, PWM values exhibit less variation than AWM values, indicating moderate variations in the aerosol profile across populous areas.</p>

      <fig id="Ch1.F5"><label>Figure 5</label><caption><p id="d1e3018">Changes in <inline-formula><mml:math id="M219" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (test–base) for each sensitivity test. In the first test, a global PWM aerosol composition replaces the actual composition <bold>(a)</bold>. In the second test, a global PWM aerosol profile replaces the actual profile <bold>(b)</bold>. The number in the bottom-right corner of each panel indicates the population-weighted mean difference (PWMD).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Sensitivity tests with globally uniform parameters</title>
      <p id="d1e3048">Figure <xref ref-type="fig" rid="Ch1.F5"/> shows global changes in the spatial variation in <inline-formula><mml:math id="M220" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> due to variations in aerosol chemical composition (panel (a)) and the aerosol vertical profile (panel (b)), the two main drivers identified in Fig. <xref ref-type="fig" rid="Ch1.F2"/>. Globally, neglecting spatial variation in aerosol composition induces a 12.3 <inline-formula><mml:math id="M221" 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> PWMD in spatial variation in <inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Both <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><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 AOD are strongly affected by aerosol composition, following a similar spatial pattern (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F13"/>). Over middle- and low-latitude areas, the change in AOD is stronger than that in <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><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> since AOD at an ambient RH is more sensitive to hygroscopicity changes. This yields an opposite pattern in <inline-formula><mml:math id="M225" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Neglecting spatial variation in chemical composition reduces <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> over North Africa and the Middle East, desert regions where aerosols contain more weakly hygroscopic components, such as mineral dust; in contrast, populous areas contain more secondary inorganic aerosols (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). For smaller deserts in the southwestern US, Argentina, and southwestern Africa, the dust fractions for surface aerosols are higher than the global mean (36 %, 76 %, and 49 %, respectively), but the dust fractions for AOD are similar to the global mean (15 %, 25 %, and 14 %, respectively). Therefore, neglecting spatial variation in chemical composition increases <inline-formula><mml:math id="M227" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> over these small deserts by increasing the fraction of hygroscopic components in <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><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 leaving AOD almost unchanged (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F13"/>). Neglecting spatial variation in chemical composition also reduces <inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> over boreal forests, where surface aerosols are more hygroscopic compared to those in populous areas and show strong changes, while changes are less pronounced for column aerosols (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F13"/>). Moreover, neglecting spatial variation in chemical composition increases <inline-formula><mml:math id="M230" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> over the eastern US and eastern China, where <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><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> contains more hygroscopic SNA and less dust than the global mean. It also increases <inline-formula><mml:math id="M232" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> in coastal regions, where aerosols contain more hygroscopic sea salt than the global mean.</p>
      <p id="d1e3185">Neglecting spatial variation in the aerosol vertical profile induces an 8.4 <inline-formula><mml:math id="M233" 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> PWMD in spatial variation in <inline-formula><mml:math id="M234" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F5"/>), following the spatial pattern of the change in surface <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><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> (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F14"/>). The most apparent feature is an increase in <inline-formula><mml:math id="M236" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> throughout the remote Northern Hemisphere, driven by an increased aerosol fraction near the surface, where the fraction is normally small (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). The uniform aerosol vertical profile decreases <inline-formula><mml:math id="M237" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> over northern Africa and biomass-burning regions of boreal forests, the Amazon, and Indonesia, driven by a decreased aerosol fraction near the surface in regions where this fraction is normally high.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusion</title>
      <p id="d1e3255">Understanding the global variation in the <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><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>–AOD relationship (<inline-formula><mml:math id="M239" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>) offers insights into the geophysical inference of <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><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> from satellite AOD observations. We collected ground-based <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><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> measurements from 6870 sites and MODIS MAIAC satellite AOD throughout 2019 to obtain, for the first time, a global-scale observation-based <inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> map. Observed annual mean <inline-formula><mml:math id="M243" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values range from 7.8 <inline-formula><mml:math id="M244" 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 Hawaii to 504 <inline-formula><mml:math id="M245" 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 Mongolia. We observed enhanced <inline-formula><mml:math id="M246" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values of 154 to 196 <inline-formula><mml:math id="M247" 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> over arid regions, such as Africa and West Asia, due to the low aerosol extinction efficiency in these regions. Moderate <inline-formula><mml:math id="M248" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values of 97 to 119 <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 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> were found in industrial areas, such as East Asia and South Asia, where anthropogenic emissions increase near-surface <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><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> concentrations. Over remote areas, low <inline-formula><mml:math id="M251" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values (<inline-formula><mml:math id="M252" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math id="M253" 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>) were usually observed.</p>
      <p id="d1e3448">We simulated global annual mean <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> using the chemical transport model GEOS-Chem in its high-performance configuration (GCHP). The simulation generally represented the observed <inline-formula><mml:math id="M255" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> values with a PWM within 3 % (98.1 vs. 96.1 <inline-formula><mml:math id="M256" 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 correlation of 0.59 across the 6780 measurement sites. We examined the correlation between the simulation and measurements to identify the two most impactful drivers for spatial variation in <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> – aerosol composition and aerosol vertical profiles – both of which strongly affect the annual mean relationship between columnar AOD at an ambient RH and surface <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><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> at a controlled RH of 35 %. We subsequently conducted sensitivity tests by eliminating the spatial variation in each of the two drivers and quantified the impact on spatial variability in <inline-formula><mml:math id="M259" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>. Imposing a globally uniform aerosol composition led to pronounced changes (i.e., a PWMD of 12.3 <inline-formula><mml:math id="M260" 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>), reflecting how changes in aerosol composition affect both AOD and surface <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><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> due to the effects of aerosol hygroscopicity on both quantities. Imposing a globally uniform aerosol vertical profile had a moderate effect (i.e., a PWMD of 8.4 <inline-formula><mml:math id="M262" 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>), reflecting changes in the fraction of aerosol near the surface.</p>
      <p id="d1e3560">These findings motivate additional efforts to develop simulations of aerosol composition and aerosol vertical profiles. Promising avenues include (1) enhancing global long-term measurements of <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><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> chemical composition to evaluate and improve simulations; (2) exploiting new and emerging information about aerosol type from satellite remote sensing (e.g., the PACE (Plankton, Aerosol, Cloud, ocean Ecosystem) and MAIA (Multi-Angle Imager for Aerosols) missions); (3) advancing simulations at a finer spatial resolution to better represent processes affecting aerosol composition and vertical profiles; (4) leveraging aircraft, lidar, and collected AOD-to-<inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><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> measurements for constraints on vertical profiles; and (5) exploiting nascent capabilities in applying satellite remote sensing (e.g., the TROPOspheric Monitoring Instrument (TROPOMI), the “Tropospheric Emissions: Monitoring of Pollution” (TEMPO) instrument, and the Geostationary Environment Monitoring Spectrometer (GEMS)) for top-down constraints on emissions that affect aerosol composition.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title/>

      <fig id="App1.Ch1.S1.F6"><label>Figure A1</label><caption><p id="d1e3599"><inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><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> measurement sites from publicly available networks. EPA: Environmental Protection Agency. FRM: Federal Reference Method. CPCB: Central Pollution Control Board.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f06.png"/>

      </fig>

      <fig id="App1.Ch1.S1.F7"><label>Figure A2</label><caption><p id="d1e3622">Normalized mean bias (NMB) between simulated <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><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> chemical composition and ground measurements from the Chemical Speciation Network (CSN), the IMPROVE network, the EMEP database, and SPARTAN. The original simulation is the out-of-the-box edition of version 13.4.0 of GCHP, while the updated simulation includes certain adjustments, such as GFED4.1s emissions at a daily scale (where GFED4.1s refers to version 4.1 of the Global Fire Emissions Database with a small fire boost), diel variation, the vertical distribution of anthropogenic emissions, and a 50 % reduction in nitrate concentration. BC: black carbon. SS: sea salt.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f07.png"/>

      </fig>

<fig id="App1.Ch1.S1.F8"><label>Figure A3</label><caption><p id="d1e3648">Region definitions.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f08.png"/>

      </fig>

      <fig id="App1.Ch1.S1.F9"><label>Figure A4</label><caption><p id="d1e3661">Observed <bold>(a)</bold> and simulated <bold>(b)</bold> annual mean <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><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> for 2019. Circles represent measurement sites from regional networks or those reported by the WHO. Squares represent measured <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><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> from SPARTAN. PWM stands for the population-weighted mean, while <inline-formula><mml:math id="M269" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> refers to the coefficient of variation.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f09.png"/>

      </fig>

<fig id="App1.Ch1.S1.F10"><label>Figure A5</label><caption><p id="d1e3710">Satellite-retrieved <bold>(a)</bold> and GCHP-simulated <bold>(b)</bold> annual mean AOD for 2019. Squares represent ground-measured AOD from AERONET. PWM stands for the population-weighted mean, while <inline-formula><mml:math id="M270" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> refers to the coefficient of variation.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f10.png"/>

      </fig>

<table-wrap id="App1.Ch1.S1.T1"><label>Table A1</label><caption><p id="d1e3738">Regional population-weighted mean <inline-formula><mml:math id="M271" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><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 AOD from both observations and simulations. Geophysical <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><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> is also included. Coefficients of variation are given in parentheses. Regional means and coefficients of variation for North America, Europe, and East Asia can be found in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="13mm"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="18mm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="18mm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="18mm"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="18mm"/>
     <oasis:colspec colnum="7" colname="col7" align="justify" colwidth="18mm"/>
     <oasis:colspec colnum="8" colname="col8" align="justify" colwidth="18mm"/>
     <oasis:colspec colnum="9" colname="col9" align="justify" colwidth="18mm"/>
     <oasis:colspec colnum="10" colname="col10" align="justify" colwidth="18mm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Region</oasis:entry>
         <oasis:entry colname="col3">South Asia</oasis:entry>
         <oasis:entry colname="col4">Southeast Asia</oasis:entry>
         <oasis:entry colname="col5">West Asia</oasis:entry>
         <oasis:entry colname="col6">Latin  America</oasis:entry>
         <oasis:entry colname="col7">Middle East</oasis:entry>
         <oasis:entry colname="col8">North Africa</oasis:entry>
         <oasis:entry colname="col9">Sub-Saharan Africa</oasis:entry>
         <oasis:entry colname="col10">Australia</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2" align="left">No. of sites </oasis:entry>
         <oasis:entry colname="col3">220</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">43</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
         <oasis:entry colname="col7">142</oasis:entry>
         <oasis:entry colname="col8">32</oasis:entry>
         <oasis:entry colname="col9">3</oasis:entry>
         <oasis:entry colname="col10">6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M274" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M275" 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" colname="col2">Observed</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">119.5(0.36)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">111.4(0.21)</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">154.0(0.23)</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">72.0(0.29)</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">117.5(0.51)</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">135.0(0.32)</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">196.0(0.01)</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">187.8(0.34)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Simulated</oasis:entry>
         <oasis:entry colname="col3">95.0 (0.14)</oasis:entry>
         <oasis:entry colname="col4">93.8 (0.18)</oasis:entry>
         <oasis:entry colname="col5">93.4 (0.03)</oasis:entry>
         <oasis:entry colname="col6">74.1 (0.04)</oasis:entry>
         <oasis:entry colname="col7">86.6 (0.18)</oasis:entry>
         <oasis:entry colname="col8">135.8 (0.19)</oasis:entry>
         <oasis:entry colname="col9">105.9 (0.01)</oasis:entry>
         <oasis:entry colname="col10">128.4 (0.54)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><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>(<inline-formula><mml:math id="M277" 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" colname="col2">Observed</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">75.7(0.45)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">40.6(0.26)</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">22.0(0.21)</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">12.0(0.23)</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">20.4(0.36)</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">32.2(0.53)</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">24.0(0.00)</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">46.3(0.29)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">Simulated</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">64.9 (0.37)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">38.1 (0.23)</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">20.8 (0.08)</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">20.9 (0.06)</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">10.1 (0.30)</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">47.2 (0.52)</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">16.7 (0.03)</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">56.6 (0.87)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Geophysical</oasis:entry>
         <oasis:entry colname="col3">59.9(0.31)</oasis:entry>
         <oasis:entry colname="col4">36.1(0.43)</oasis:entry>
         <oasis:entry colname="col5">13.9(0.08)</oasis:entry>
         <oasis:entry colname="col6">12.4(0.08)</oasis:entry>
         <oasis:entry colname="col7">17.6(0.39)</oasis:entry>
         <oasis:entry colname="col8">33.0(0.40)</oasis:entry>
         <oasis:entry colname="col9">12.9(0.03)</oasis:entry>
         <oasis:entry colname="col10">37.0(0.99)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">AOD</mml:mi></mml:mrow></mml:math></inline-formula>(unitless)</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">Observed</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">0.63 (0.29)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">0.38 (0.30)</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">0.14 (0.08)</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.17 (0.03)</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.20 (0.32)</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.23 (0.30)</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.12 (0.01)</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">0.27 (0.52)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Simulated</oasis:entry>
         <oasis:entry colname="col3">0.69 (0.36)</oasis:entry>
         <oasis:entry colname="col4">0.40 (0.12)</oasis:entry>
         <oasis:entry colname="col5">0.22 (0.09)</oasis:entry>
         <oasis:entry colname="col6">0.28 (0.02)</oasis:entry>
         <oasis:entry colname="col7">0.21 (0.23)</oasis:entry>
         <oasis:entry colname="col8">0.33 (0.34)</oasis:entry>
         <oasis:entry colname="col9">0.16 (0.01)</oasis:entry>
         <oasis:entry colname="col10">0.37 (0.47)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<fig id="App1.Ch1.S1.F11"><label>Figure A6</label><caption><p id="d1e4222">Scatter plots of simulated and observed <inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> (top row), simulated and ground-measured <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><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> (second row), simulated and MAIAC AOD (third row), and geophysical and observed <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><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> (bottom row). The red line shows the line of best fit using reduced-major-axis linear regression. Insets in the top-left corner of each scatter plot show the coefficient of determination (<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), line of best fit, normalized root-mean-square deviation (NRMSD), and total number of data points (N). The bottom-right insets show the population-weighted means of the observed and simulated/geophysical estimates for each dataset; the coefficients of variation are given in parentheses. Detailed regional means and coefficients of variation for other regions can be found in Table <xref ref-type="table" rid="App1.Ch1.S1.T1"/>. N-Am: North America. Eu: Europe. E-As: East Asia.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f11.png"/>

      </fig>

<fig id="App1.Ch1.S1.F12"><label>Figure A7</label><caption><p id="d1e4278">Correlation with <inline-formula><mml:math id="M283" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> with respect to ground-measured aerosol fractional compositions from SPARTAN. Organic matter is inferred from the residual (Snider et al., 2016). Blue bars indicate positive correlations. Red bars indicate negative correlations. The stars above each bar indicate the <inline-formula><mml:math id="M284" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value associated with each correlation: “<inline-formula><mml:math id="M285" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>” indicates a <inline-formula><mml:math id="M286" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value lower than 0.001, “<inline-formula><mml:math id="M287" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>∗</mml:mo><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>” indicates a <inline-formula><mml:math id="M288" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value lower than 0.01, and “<inline-formula><mml:math id="M289" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula>” indicates a <inline-formula><mml:math id="M290" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value lower than 0.5.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f12.png"/>

      </fig>

      <fig id="App1.Ch1.S1.F13"><label>Figure A8</label><caption><p id="d1e4362">Changes in <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><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> <bold>(a)</bold> and AOD <bold>(b)</bold> (test–base) when imposing a global PWM aerosol composition.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f13.png"/>

      </fig>

<fig id="App1.Ch1.S1.F14"><label>Figure A9</label><caption><p id="d1e4394">Changes in <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><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> <bold>(a)</bold> and AOD <bold>(b)</bold> (test–base) when imposing a global PWM aerosol profile.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/24/11565/2024/acp-24-11565-2024-f14.png"/>

      </fig>

</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e4426">GEOS-Chem in its high-performance configuration (version 13.4.0) can be downloaded from <ext-link xlink:href="https://doi.org/10.5281/zenodo.6512251" ext-link-type="DOI">10.5281/zenodo.6512251</ext-link> (The International GEOS-Chem User Community, 2022).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4435">HZ and RVM designed the study. HZ performed the data analysis and model simulation, with contributions from AvD, CL, YL, DZ, JM, MH, and IS. AvD compiled the MAIAC AOD dataset and ground-based observation datasets for <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><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>. AL contributed to the original MAIAC AOD dataset. CRO and XL contributed to the SPARTAN data utilization and analysis. The paper was written by HZ and RVM, with contributions from all authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4452">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="d1e4458">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4464">We thank Mi Zhou from Princeton University for providing ground-based <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><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> data for India.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4482">This research has been supported by the NASA Earth Sciences Division (grant no. 80NSSC22K0200).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4488">This paper was edited by Zhonghua Zheng and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Amos, H. M., Jacob, D. J., Holmes, C. D., Fisher, J. A., Wang, Q., Yantosca, R. M., Corbitt, E. S., Galarneau, E., Rutter, A. P., Gustin, M. S., Steffen, A., Schauer, J. J., Graydon, J. A., Louis, V. L. St., Talbot, R. W., Edgerton, E. S., Zhang, Y., and Sunderland, E. M.: Gas-particle partitioning of atmospheric Hg(II) and its effect on global mercury deposition, Atmos. Chem. Phys., 12, 591–603, <ext-link xlink:href="https://doi.org/10.5194/acp-12-591-2012" ext-link-type="DOI">10.5194/acp-12-591-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Banerjee, T., Shitole, A. S., Mhawish, A., Anand, A., Ranjan, R., Khan, M. F., Srithawirat, T., Latif, M. T., and Mall, R. K.: Aerosol Climatology Over South and Southeast Asia: Aerosol Types, Vertical Profile, and Source Fields, J. Geophys. Res.-Atmos., 126, e2020JD033554, <ext-link xlink:href="https://doi.org/10.1029/2020JD033554" ext-link-type="DOI">10.1029/2020JD033554</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Benavente, N. R., Vara-Vela, A. L., Nascimento, J. P., Acuna, J. R., Damascena, A. S., de Fatima Andrade, M., and Yamasoe, M. A.: Air quality simulation with WRF-Chem over southeastern Brazil, part I: Model description and evaluation using ground-based and satellite data, Urban Climate, 52, 101703, <ext-link xlink:href="https://doi.org/10.1016/j.uclim.2023.101703" ext-link-type="DOI">10.1016/j.uclim.2023.101703</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Bieser, J., Aulinger, A., Matthias, V., Quante, M., and Denier Van Der Gon, H. A. C.: Vertical emission profiles for Europe based on plume rise calculations, Environ. Pollut., 159, 2935–2946, <ext-link xlink:href="https://doi.org/10.1016/J.ENVPOL.2011.04.030" ext-link-type="DOI">10.1016/J.ENVPOL.2011.04.030</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Brauer, M., Roth, G. A., Aravkin, A. Y., Zheng, P., Abate, K. H., Abate, Y. H., Abbafati, C., Abbasgholizadeh, R., Abbasi, M. A., Abbasian, M., Abbasifard, M., Abbasi-Kangevari, M., ElHafeez, S. A., Abd-Elsalam, S., Abdi, P., Abdollahi, M., Abdoun, M., Abdulah, D. M., Abdullahi, A., Abebe, M., Abedi, A., Abedi, A., Abegaz, T. M., Zuñiga, R. A. A., Abiodun, O., Abiso, T. L., Aboagye, R. G., Abolhassani, H., Abouzid, M., Aboye, G. B., Abreu, L. G., Abualruz, H., Abubakar, B., Abu-Gharbieh, E., Abukhadijah, H. J. J., Aburuz, S., Abu-Zaid, A., Adane, M. M., Addo, I. Y., Addolorato, G., Adedoyin, R. A., Adekanmbi, V., Aden, B., Adetunji, J. B., Adeyeoluwa, T. E., Adha, R., Adibi, A., Adnani, Q. E. S., Adzigbli, L. A., Afolabi, A. A., Afolabi, R. F., Afshin, A., Afyouni, S., Afzal, M. S., Afzal, S., Agampodi, S. B., Agbozo, F., Aghamiri, S., Agodi, A., Agrawal, A., Agyemang-Duah, W., Ahinkorah, B. O., Ahmad, A., Ahmad, D., Ahmad, F., Ahmad, N., Ahmad, S., Ahmad, T., Ahmed, A., Ahmed, A., Ahmed, A., Ahmed, L. A., Ahmed, M. B., Ahmed, S., Ahmed, S. A., Ajami, M., Akalu, G. T., Akara, E. M., Akbarialiabad, H., Akhlaghi, S., Akinosoglou, K., Akinyemiju, T., Akkaif, M. A., Akkala, S., Akombi-Inyang, B., Awaidy, S. A., Hasan, S. M. A., Alahdab, F., AL-Ahdal, T. M. A., Alalalmeh, S. O., Alalwan, T. A., Al-Aly, Z., Alam, K., Alam, N., Alanezi, F. M., Alanzi, T. M., Albakri, A., AlBataineh, M. T., Aldhaleei, W. A., et al.: Global burden and strength of evidence for 88 risk factors in 204 countries and 811 subnational locations, 1990–2021: a systematic analysis for the Global Burden of Disease Study 2021, Lancet, 403, 2162–2203, <ext-link xlink:href="https://doi.org/10.1016/S0140-6736(24)00933-4" ext-link-type="DOI">10.1016/S0140-6736(24)00933-4</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Burnett, R., Chen, H., Szyszkowicz, M., Fann, N., Hubbell, B., Pope, C. A., Apte, J. S., Brauer, M., Cohen, A., Weichenthal, S., Coggins, J., Di, Q., Brunekreef, B., Frostad, J., Lim, S. S., Kan, H., Walker, K. D., Thurston, G. D., Hayes, R. B., Lim, C. C., Turner, M. C., Jerrett, M., Krewski, D., Gapstur, S. M., Diver, W. R., Ostro, B., Goldberg, D., Crouse, D. L., Martin, R. V., Peters, P., Pinault, L., Tjepkema, M., Van Donkelaar, A., Villeneuve, P. J., Miller, A. B., Yin, P., Zhou, M., Wang, L., Janssen, N. A. H., Marra, M., Atkinson, R. W., Tsang, H., Thach, T. Q., Cannon, J. B., Allen, R. T., Hart, J. E., Laden, F., Cesaroni, G., Forastiere, F., Weinmayr, G., Jaensch, A., Nagel, G., Concin, H., and Spadaro, J. V.: Global estimates of mortality associated with longterm exposure to outdoor fine particulate matter, P. Natl. Acad. Sci. USA, 115, 9592–9597, <ext-link xlink:href="https://doi.org/10.1073/pnas.1803222115" ext-link-type="DOI">10.1073/pnas.1803222115</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Canagaratna, M. R., Jimenez, J. L., Kroll, J. H., Chen, Q., Kessler, S. H., Massoli, P., Hildebrandt Ruiz, L., Fortner, E., Williams, L. R., Wilson, K. R., Surratt, J. D., Donahue, N. M., Jayne, J. T., and Worsnop, D. R.: Elemental ratio measurements of organic compounds using aerosol mass spectrometry: characterization, improved calibration, and implications, Atmos. Chem. Phys., 15, 253–272, <ext-link xlink:href="https://doi.org/10.5194/acp-15-253-2015" ext-link-type="DOI">10.5194/acp-15-253-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>CEDS: A Community Emissions Data System (CEDS) for Historical Emissions, <uri>https://www.pnnl.gov/projects/ceds</uri> (last access: 6 July 2024), 2024.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Center for International Earth Science Information Network – CIESIN: Gridded Population of the World, Version 4 (GPWv4): Population Density, Revision 11, Columbia University, <ext-link xlink:href="https://doi.org/10.7927/H49C6VHW" ext-link-type="DOI">10.7927/H49C6VHW</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Christidis, T., Erickson, A. C., Pappin, A. J., Crouse, D. L., Pinault, L. L., Weichenthal, S. A., Brook, J. R., van Donkelaar, A., Hystad, P., Martin, R. V., Tjepkema, M., Burnett, R. T., and Brauer, M.: Low concentrations of fine particle air pollution and mortality in the Canadian Community Health Survey cohort, Environ. Health, 18, 84, <ext-link xlink:href="https://doi.org/10.1186/s12940-019-0518-y" ext-link-type="DOI">10.1186/s12940-019-0518-y</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Chu, D. A., Ferrare, R., Szykman, J., Lewis, J., Scarino, A., Hains, J., Burton, S., Chen, G., Tsai, T., Hostetler, C., Hair, J., Holben, B., and Crawford, J.: Regional characteristics of the relationship between columnar AOD and surface <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><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>: Application of lidar aerosol extinction profiles over Baltimore–Washington Corridor during DISCOVER-AQ, Atmos. Environ., 101, 338e349-349, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2014.11.034" ext-link-type="DOI">10.1016/j.atmosenv.2014.11.034</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Cohen, A. J., Brauer, M., Burnett, R., Anderson, H. R., Frostad, J., Estep, K., Balakrishnan, K., Brunekreef, B., Dandona, L., Dandona, R., Feigin, V., Freedman, G., Hubbell, B., Jobling, A., Kan, H., Knibbs, L., Liu, Y., Martin, R., Morawska, L., Pope, C. A., Shin, H., Straif, K., Shaddick, G., Thomas, M., van Dingenen, R., van Donkelaar, A., Vos, T., Murray, C. J. L., and Forouzanfar, M. H.: Estimates and 25-year trends of the global burden of disease attributable to ambient air pollution: an analysis of data from the Global Burden of Diseases Study 2015, Lancet, 389, 1907–1918, <ext-link xlink:href="https://doi.org/10.1016/S0140-6736(17)30505-6" ext-link-type="DOI">10.1016/S0140-6736(17)30505-6</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Damascena, A. S., Yamasoe, M. A., Martins, V. S., Rosas, J., Benavente, N. R., Sánchez, M. P., Tanaka, N. I., and Saldiva, P. H. N.: Exploring the relationship between high-resolution aerosol optical depth values and ground-level particulate matter concentrations in the Metropolitan Area of São Paulo, Atmos. Environ., 244, 117949, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2020.117949" ext-link-type="DOI">10.1016/j.atmosenv.2020.117949</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Di, Q., Kloog, I., Koutrakis, P., Lyapustin, A., Wang, Y., and Schwartz, J.: Assessing <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><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> Exposures with High Spatiotemporal Resolution across the Continental United States, Environ. Sci. Technol., 50, 4712–4721, <ext-link xlink:href="https://doi.org/10.1021/acs.est.5b06121" ext-link-type="DOI">10.1021/acs.est.5b06121</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Eastham, S. D., Long, M. S., Keller, C. A., Lundgren, E., Yantosca, R. M., Zhuang, J., Li, C., Lee, C. J., Yannetti, M., Auer, B. M., Clune, T. L., Kouatchou, J., Putman, W. M., Thompson, M. A., Trayanov, A. L., Molod, A. M., Martin, R. V., and Jacob, D. J.: GEOS-Chem High Performance (GCHP v11-02c): a next-generation implementation of the GEOS-Chem chemical transport model for massively parallel applications, Geosci. Model Dev., 11, 2941–2953, <ext-link xlink:href="https://doi.org/10.5194/gmd-11-2941-2018" ext-link-type="DOI">10.5194/gmd-11-2941-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Fairlie, D. T., Jacob, D. J., and Park, R. J.: The impact of transpacific transport of mineral dust in the United States, Atmos. Environ., 41, 1251–1266, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2006.09.048" ext-link-type="DOI">10.1016/j.atmosenv.2006.09.048</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Ford, B. and Heald, C. L.: Exploring the uncertainty associated with satellite-based estimates of premature mortality due to exposure to fine particulate matter, Atmos. Chem. Phys., 16, 3499–3523, <ext-link xlink:href="https://doi.org/10.5194/acp-16-3499-2016" ext-link-type="DOI">10.5194/acp-16-3499-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Fountoukis, C. and Nenes, A.: ISORROPIAII: A computationally efficient thermodynamic equilibrium model for <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M298" 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>–<inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</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>–<inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> aerosols, Atmospheric Chemistry and Physics, 7, 4639–4659, <ext-link xlink:href="https://doi.org/10.5194/acp-7-4639-2007" ext-link-type="DOI">10.5194/acp-7-4639-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Geng, G., Zhang, Q., Tong, D., Li, M., Zheng, Y., Wang, S., and He, K.: Chemical composition of ambient <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><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> over China and relationship to precursor emissions during 2005–2012, Atmos. Chem. Phys., 17, 9187–9203, <ext-link xlink:href="https://doi.org/10.5194/acp-17-9187-2017" ext-link-type="DOI">10.5194/acp-17-9187-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Giles, D. M., Sinyuk, A., Sorokin, M. G., Schafer, J. S., Smirnov, A., Slutsker, I., Eck, T. F., Holben, B. N., Lewis, J. R., Campbell, J. R., Welton, E. J., Korkin, S. V., and Lyapustin, A. I.: Advancements in the Aerosol Robotic Network (AERONET) Version 3 database – automated near-real-time quality control algorithm with improved cloud screening for Sun photometer aerosol optical depth (AOD) measurements, Atmos. Meas. Tech., 12, 169–209, <ext-link xlink:href="https://doi.org/10.5194/amt-12-169-2019" ext-link-type="DOI">10.5194/amt-12-169-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Guo, J., Xia, F., Zhang, Y., Liu, H., Li, J., Lou, M., He, J., Yan, Y., Wang, F., Min, M., and Zhai, P.: Impact of diurnal variability and meteorological factors on the <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><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>–AOD relationship: Implications for <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><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> remote sensing, Environ. Pollut., 221, 94–104, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2016.11.043" ext-link-type="DOI">10.1016/j.envpol.2016.11.043</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Gupta, P., Christopher, S. A., Wang, J., Gehrig, R., Lee, Y., and Kumar, N.: Satellite remote sensing of particulate matter and air quality assessment over global cities, Atmos. Environ., 40, 5880–5892, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2006.03.016" ext-link-type="DOI">10.1016/j.atmosenv.2006.03.016</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Hammer, M. S., Martin, R. V., van Donkelaar, A., Buchard, V., Torres, O., Ridley, D. A., and Spurr, R. J. D.: Interpreting the ultraviolet aerosol index observed with the OMI satellite instrument to understand absorption by organic aerosols: implications for atmospheric oxidation and direct radiative effects, Atmos. Chem. Phys., 16, 2507–2523, <ext-link xlink:href="https://doi.org/10.5194/acp-16-2507-2016" ext-link-type="DOI">10.5194/acp-16-2507-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Hao, H., Wang, Y., Zhu, Q., Zhang, H., Rosenberg, A., Schwartz, J., Amini, H., van Donkelaar, A., Martin, R., Liu, P., Weber, R., Russel, A., Yitshak-sade, M., Chang, H., and Shi, L.: National Cohort Study of Long-Term Exposure to <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><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> Components and Mortality in Medicare American Older Adults, Environ. Sci. Technol., 57, 6835–6843, <ext-link xlink:href="https://doi.org/10.1021/acs.est.2c07064" ext-link-type="DOI">10.1021/acs.est.2c07064</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>He, Q., Wang, M., and Yim, S. H. L.: The spatiotemporal relationship between <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><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 aerosol optical depth in China: influencing factors and implications for satellite <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><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> estimations using MAIAC aerosol optical depth, Atmos. Chem. Phys., 21, 18375–18391, <ext-link xlink:href="https://doi.org/10.5194/acp-21-18375-2021" ext-link-type="DOI">10.5194/acp-21-18375-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Heald, C. L., Collett Jr., J. L., Lee, T., Benedict, K. B., Schwandner, F. M., Li, Y., Clarisse, L., Hurtmans, D. R., Van Damme, M., Clerbaux, C., Coheur, P.-F., Philip, S., Martin, R. V., and Pye, H. O. T.: Atmospheric ammonia and particulate inorganic nitrogen over the United States, Atmos. Chem. Phys., 12, 10295–10312, <ext-link xlink:href="https://doi.org/10.5194/acp-12-10295-2012" ext-link-type="DOI">10.5194/acp-12-10295-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Hoesly, R. M., Smith, S. J., Feng, L., Klimont, Z., Janssens-Maenhout, G., Pitkanen, T., Seibert, J. J., Vu, L., Andres, R. J., Bolt, R. M., Bond, T. C., Dawidowski, L., Kholod, N., Kurokawa, J.-I., Li, M., Liu, L., Lu, Z., Moura, M. C. P., O'Rourke, P. R., and Zhang, Q.: Historical (1750–2014) anthropogenic emissions of reactive gases and aerosols from the Community Emissions Data System (CEDS), Geosci. Model Dev., 11, 369–408, <ext-link xlink:href="https://doi.org/10.5194/gmd-11-369-2018" ext-link-type="DOI">10.5194/gmd-11-369-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Hu, X., Waller, L. A., Lyapustin, A., Wang, Y., and Liu, Y.: 10-year spatial and temporal trends of <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><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> concentrations in the southeastern US estimated using high-resolution satellite data, Atmos. Chem. Phys., 14, 6301–6314, <ext-link xlink:href="https://doi.org/10.5194/acp-14-6301-2014" ext-link-type="DOI">10.5194/acp-14-6301-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Jaeglé, L., Quinn, P. K., Bates, T. S., Alexander, B., and Lin, J.-T.: Global distribution of sea salt aerosols: new constraints from in situ and remote sensing observations, Atmos. Chem. Phys., 11, 3137–3157, <ext-link xlink:href="https://doi.org/10.5194/acp-11-3137-2011" ext-link-type="DOI">10.5194/acp-11-3137-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Jin, Q., Crippa, P., and Pryor, S. C.: Spatial characteristics and temporal evolution of the relationship between <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><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 aerosol optical depth over the eastern USA during 2003–2017, Atmos. Environ., 239, 117718, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2020.117718" ext-link-type="DOI">10.1016/j.atmosenv.2020.117718</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Jin, X., Fiore, A. M., Curci, G., Lyapustin, A., Civerolo, K., Ku, M., van Donkelaar, A., and Martin, R. V.: Assessing uncertainties of a geophysical approach to estimate surface fine particulate matter distributions from satellite-observed aerosol optical depth, Atmos. Chem. Phys., 19, 295–313, <ext-link xlink:href="https://doi.org/10.5194/acp-19-295-2019" ext-link-type="DOI">10.5194/acp-19-295-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Kim, P. S., Jacob, D. J., Fisher, J. A., Travis, K., Yu, K., Zhu, L., Yantosca, R. M., Sulprizio, M. P., Jimenez, J. L., Campuzano-Jost, P., Froyd, K. D., Liao, J., Hair, J. W., Fenn, M. A., Butler, C. F., Wagner, N. L., Gordon, T. D., Welti, A., Wennberg, P. O., Crounse, J. D., St. Clair, J. M., Teng, A. P., Millet, D. B., Schwarz, J. P., Markovic, M. Z., and Perring, A. E.: Sources, seasonality, and trends of southeast US aerosol: an integrated analysis of surface, aircraft, and satellite observations with the GEOS-Chem chemical transport model, Atmos. Chem. Phys., 15, 10411–10433, <ext-link xlink:href="https://doi.org/10.5194/acp-15-10411-2015" ext-link-type="DOI">10.5194/acp-15-10411-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Kondragunta, S., Veihelmann, B., and Chatfield, R. J.: Monitoring Surface <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><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>: An International Constellation Approach to Enhancing the Role of Satellite Observations, NOAA, <ext-link xlink:href="https://doi.org/10.25923/7SNZ-VN34" ext-link-type="DOI">10.25923/7SNZ-VN34</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Kopke, P., Hess, M., Schult, I., and Shettle, E. P.: Global Aerosol Data Set, No. 243, Max-Planck-Institut Für Meteorologie, Hamburg, <uri>https://aeris-geisa.ipsl.fr/geisa_files/fichiers_pdf/2011/GADS_MPI-Report_243.pdf</uri> (last access: 12 October 2024), 1997.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>Latimer, R. N. C. and Martin, R. V.: Interpretation of measured aerosol mass scattering efficiency over North America using a chemical transport model, Atmos. Chem. Phys., 19, 2635–2653, <ext-link xlink:href="https://doi.org/10.5194/acp-19-2635-2019" ext-link-type="DOI">10.5194/acp-19-2635-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Li, J., Carlson, B. E., and Lacis, A. A.: How well do satellite AOD observations represent the spatial and temporal variability of <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><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> concentration for the United States?, Atmos. Environ., 102, 260–273, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2014.12.010" ext-link-type="DOI">10.1016/j.atmosenv.2014.12.010</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Li, Y., Martin, R. V., Li, C., Boys, B. L., van Donkelaar, A., Meng, J., and Pierce, J. R.: Development and evaluation of processes affecting simulation of diel fine particulate matter variation in the GEOS-Chem model, Atmos. Chem. Phys., 23, 12525–12543, <ext-link xlink:href="https://doi.org/10.5194/acp-23-12525-2023" ext-link-type="DOI">10.5194/acp-23-12525-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Lin, H., Jacob, D. J., Lundgren, E. W., Sulprizio, M. P., Keller, C. A., Fritz, T. M., Eastham, S. D., Emmons, L. K., Campbell, P. C., Baker, B., Saylor, R. D., and Montuoro, R.: Harmonized Emissions Component (HEMCO) 3.0 as a versatile emissions component for atmospheric models: application in the GEOS-Chem, NASA GEOS, WRF-GC, CESM2, NOAA GEFS-Aerosol, and NOAA UFS models, Geosci. Model Dev., 14, 5487–5506, <ext-link xlink:href="https://doi.org/10.5194/gmd-14-5487-2021" ext-link-type="DOI">10.5194/gmd-14-5487-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Liu, H., Jacob, D. J., Bey, I., and Yantosca, R. M.: Constraints from <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">210</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow></mml:math></inline-formula> on wet deposition and transport in a global three-dimensional chemical tracer model driven by assimilated meteorological fields, J. Geophys. Res.-Atmos., 106, 12109–12128, <ext-link xlink:href="https://doi.org/10.1029/2000JD900839" ext-link-type="DOI">10.1029/2000JD900839</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Liu, X., Turner, J. R., Hand, J. L., Schichtel, B. A., and Martin, R. V.: A Global-Scale Mineral Dust Equation, J. Geophys. Res.-Atmos., 127, e2022JD036937, <ext-link xlink:href="https://doi.org/10.1029/2022JD036937" ext-link-type="DOI">10.1029/2022JD036937</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Liu, X., Turner, J. R., Oxford, C. R., McNeill, J., Walsh, B., Le Roy, E., Weagle, C. L., Stone, E., Zhu, H., Liu, W., Wei, Z., Hyslop, N. P., Giacomo, J., Dillner, A. M., Salam, A., Hossen, A., Islam, Z., Abboud, I., Akoshile, C., Amador-Muñoz, O., Anh, N. X., Asfaw, A., Balasubramanian, R., Chang, R. Y.-W., Coburn, C., Dey, S., Diner, D. J., Dong, J., Farrah, T., Gahungu, P., Garland, R. M., Grutter de la Mora, M., Hasheminassab, S., John, J., Kim, J., Kim, J. S., Langerman, K., Lee, P.-C., Lestari, P., Liu, Y., Mamo, T., Martins, M., Mayol-Bracero, O. L., Naidoo, M., Park, S. S., Schechner, Y., Schofield, R., Tripathi, S. N., Windwer, E., Wu, M.-T., Zhang, Q., Brauer, M., Rudich, Y., and Martin, R. V.: Elemental Characterization of Ambient Particulate Matter for a Globally Distributed Monitoring Network: Methodology and Implications, ACS EST Air, 1, 283–293, <ext-link xlink:href="https://doi.org/10.1021/acsestair.3c00069" ext-link-type="DOI">10.1021/acsestair.3c00069</ext-link>,  2024.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Lyapustin, A., Wang, Y., Korkin, S., and Huang, D.: MODIS Collection 6 MAIAC algorithm, Atmos. Meas. Tech., 11, 5741–5765, <ext-link xlink:href="https://doi.org/10.5194/amt-11-5741-2018" ext-link-type="DOI">10.5194/amt-11-5741-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Martin, R. V., Jacob, D. J., Yantosca, R. M., Chin, M., and Ginoux, P.: Global and regional decreases in tropospheric oxidants from photochemical effects of aerosols, J. Geophys. Res.-Atmos., 108, 4097, <ext-link xlink:href="https://doi.org/10.1029/2002jd002622" ext-link-type="DOI">10.1029/2002jd002622</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Martin, R. V., Brauer, M., van Donkelaar, A., Shaddick, G., Narain, U., and Dey, S.: No one knows which city has the highest concentration of fine particulate matter, Atmospheric Environment: X, 3, 100040, <ext-link xlink:href="https://doi.org/10.1016/j.aeaoa.2019.100040" ext-link-type="DOI">10.1016/j.aeaoa.2019.100040</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Martin, R. V., Eastham, S. D., Bindle, L., Lundgren, E. W., Clune, T. L., Keller, C. A., Downs, W., Zhang, D., Lucchesi, R. A., Sulprizio, M. P., Yantosca, R. M., Li, Y., Estrada, L., Putman, W. M., Auer, B. M., Trayanov, A. L., Pawson, S., and Jacob, D. J.: Improved advection, resolution, performance, and community access in the new generation (version 13) of the high-performance GEOS-Chem global atmospheric chemistry model (GCHP), Geosci. Model Dev., 15, 8731–8748, <ext-link xlink:href="https://doi.org/10.5194/gmd-15-8731-2022" ext-link-type="DOI">10.5194/gmd-15-8731-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>McDuffie, E. E., Martin, R. V., Spadaro, J. V., Burnett, R., Smith, S. J., O'Rourke, P., Hammer, M. S., van Donkelaar, A., Bindle, L., Shah, V., Jaeglé, L., Luo, G., Yu, F., Adeniran, J. A., Lin, J., and Brauer, M.: Source sector and fuel contributions to ambient <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><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 attributable mortality across multiple spatial scales, Nat. Commun., 12, 1–12, <ext-link xlink:href="https://doi.org/10.1038/s41467-021-23853-y" ext-link-type="DOI">10.1038/s41467-021-23853-y</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Meng, J., Martin, R. V., Ginoux, P., Hammer, M., Sulprizio, M. P., Ridley, D. A., and van Donkelaar, A.: Grid-independent high-resolution dust emissions (v1.0) for chemical transport models: application to GEOS-Chem (12.5.0), Geosci. Model Dev., 14, 4249–4260, <ext-link xlink:href="https://doi.org/10.5194/gmd-14-4249-2021" ext-link-type="DOI">10.5194/gmd-14-4249-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Miao, R., Chen, Q., Zheng, Y., Cheng, X., Sun, Y., Palmer, P. I., Shrivastava, M., Guo, J., Zhang, Q., Liu, Y., Tan, Z., Ma, X., Chen, S., Zeng, L., Lu, K., and Zhang, Y.: Model bias in simulating major chemical components of <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><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> in China, Atmos. Chem. Phys., 20, 12265–12284, <ext-link xlink:href="https://doi.org/10.5194/acp-20-12265-2020" ext-link-type="DOI">10.5194/acp-20-12265-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>Nguyen, T. T. N., Pham, H. V., Lasko, K., Bui, M. T., Laffly, D., Jourdan, A., and Bui, H. Q.: Spatiotemporal analysis of ground and satellite-based aerosol for air quality assessment in the Southeast Asia region, Environ. Pollut., 255, 113106, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2019.113106" ext-link-type="DOI">10.1016/j.envpol.2019.113106</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>Pai, S. J., Heald, C. L., Pierce, J. R., Farina, S. C., Marais, E. A., Jimenez, J. L., Campuzano-Jost, P., Nault, B. A., Middlebrook, A. M., Coe, H., Shilling, J. E., Bahreini, R., Dingle, J. H., and Vu, K.: An evaluation of global organic aerosol schemes using airborne observations, Atmos. Chem. Phys., 20, 2637–2665, <ext-link xlink:href="https://doi.org/10.5194/acp-20-2637-2020" ext-link-type="DOI">10.5194/acp-20-2637-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>Park, R. J., Jacob, D. J., Chin, M., and Martin, R. V.: Sources of carbonaceous aerosols over the United States and implications for natural visibility, J. Geophys. Res.-Atmos., 108, AAC 5-1–AAC 5-12, <ext-link xlink:href="https://doi.org/10.1029/2002jd003190" ext-link-type="DOI">10.1029/2002jd003190</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Philip, S., Martin, R. V., van Donkelaar, A., Lo, J. W.-H., Wang, Y., Chen, D., Zhang, L., Kasibhatla, P. S., Wang, S., Zhang, Q., Lu, Z., Streets, D. G., Bittman, S., and Macdonald, D. J.: Global Chemical Composition of Ambient Fine Particulate Matter for Exposure Assessment, Environ. Sci. Technol., 48, 13060–13068, <ext-link xlink:href="https://doi.org/10.1021/es502965b" ext-link-type="DOI">10.1021/es502965b</ext-link>, 2014a.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Philip, S., Martin, R. V., Pierce, J. R., Jimenez, J. L., Zhang, Q., Canagaratna, M. R., Spracklen, D. V., Nowlan, C. R., Lamsal, L. N., Cooper, M. J., and Krotkov, N. A.: Spatially and seasonally resolved estimate of the ratio of organic mass to organic carbon, Atmos. Environ., 87, 34–40, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2013.11.065" ext-link-type="DOI">10.1016/j.atmosenv.2013.11.065</ext-link>, 2014b.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>Philip, S., Martin, R. V., Snider, G., Weagle, C. L., Van Donkelaar, A., Brauer, M., Henze, D. K., Klimont, Z., Venkataraman, C., Guttikunda, S. K., and Zhang, Q.: Anthropogenic fugitive, combustion and industrial dust is a significant, underrepresented fine particulate matter source in global atmospheric models, Environ. Res. Lett., 12, 044018, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/aa65a4" ext-link-type="DOI">10.1088/1748-9326/aa65a4</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>Pinault, L., Tjepkema, M., Crouse, D. L., Weichenthal, S., van Donkelaar, A., Martin, R. V., Brauer, M., Chen, H., and Burnett, R. T.: Risk estimates of mortality attributed to low concentrations of ambient fine particulate matter in the Canadian community health survey cohort, Environ. Health, 15, 18, <ext-link xlink:href="https://doi.org/10.1186/s12940-016-0111-6" ext-link-type="DOI">10.1186/s12940-016-0111-6</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Prank, M., Sofiev, M., Tsyro, S., Hendriks, C., Semeena, V., Vazhappilly Francis, X., Butler, T., Denier van der Gon, H., Friedrich, R., Hendricks, J., Kong, X., Lawrence, M., Righi, M., Samaras, Z., Sausen, R., Kukkonen, J., and Sokhi, R.: Evaluation of the performance of four chemical transport models in predicting the aerosol chemical composition in Europe in 2005, Atmos. Chem. Phys., 16, 6041–6070, <ext-link xlink:href="https://doi.org/10.5194/acp-16-6041-2016" ext-link-type="DOI">10.5194/acp-16-6041-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>Sayer, A. M., Munchak, L. A., Hsu, N. C., Levy, R. C., Bettenhausen, C., and Jeong, M. J.: MODIS Collection 6 aerosol products: Comparison between Aqua's e-Deep Blue, Dark Target, and “merged” data sets, and usage recommendations, J. Geophys. Res.-Atmos., 119, 13965–13989, <ext-link xlink:href="https://doi.org/10.1002/2014JD022453" ext-link-type="DOI">10.1002/2014JD022453</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Schubert, S. D., Rood, R. B., and Pfaendtner, J.: An Assimilated Dataset for Earth Science Applications, B. Am. Meteorol. Soc., 74, 2331–2342, <ext-link xlink:href="https://doi.org/10.1175/1520-0477(1993)074&lt;2331:AADFES&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0477(1993)074&lt;2331:AADFES&gt;2.0.CO;2</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><mixed-citation>Sha, T., Ma, X., Jia, H., Tian, R., Chang, Y., Cao, F., and Zhang, Y.: Aerosol chemical component: Simulations with WRF-Chem and comparison with observations in Nanjing, Atmos. Environ., 218, 116982, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2019.116982" ext-link-type="DOI">10.1016/j.atmosenv.2019.116982</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><mixed-citation>Shimadera, H., Hayami, H., Chatani, S., Morino, Y., Mori, Y., Morikawa, T., Yamaji, K., and Ohara, T.: Sensitivity analyses of factors influencing CMAQ performance for fine particulate nitrate, J. Air Waste Manage., 64, 374–387, <ext-link xlink:href="https://doi.org/10.1080/10962247.2013.778919" ext-link-type="DOI">10.1080/10962247.2013.778919</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><mixed-citation>Snider, G., Weagle, C. L., Murdymootoo, K. K., Ring, A., Ritchie, Y., Stone, E., Walsh, A., Akoshile, C., Anh, N. X., Balasubramanian, R., Brook, J., Qonitan, F. D., Dong, J., Griffith, D., He, K., Holben, B. N., Kahn, R., Lagrosas, N., Lestari, P., Ma, Z., Misra, A., Norford, L. K., Quel, E. J., Salam, A., Schichtel, B., Segev, L., Tripathi, S., Wang, C., Yu, C., Zhang, Q., Zhang, Y., Brauer, M., Cohen, A., Gibson, M. D., Liu, Y., Martins, J. V., Rudich, Y., and Martin, R. V.: Variation in global chemical composition of <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><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>: emerging results from SPARTAN, Atmos. Chem. Phys., 16, 9629–9653, <ext-link xlink:href="https://doi.org/10.5194/acp-16-9629-2016" ext-link-type="DOI">10.5194/acp-16-9629-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>The International GEOS-Chem User Community: geoschem/GCHP: GCHP 13.4.0 (13.4.0), Zenodo [data set], <ext-link xlink:href="https://doi.org/10.5281/zenodo.6512251" ext-link-type="DOI">10.5281/zenodo.6512251</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><mixed-citation>Travis, K. R., Crawford, J. H., Chen, G., Jordan, C. E., Nault, B. A., Kim, H., Jimenez, J. L., Campuzano-Jost, P., Dibb, J. E., Woo, J.-H., Kim, Y., Zhai, S., Wang, X., McDuffie, E. E., Luo, G., Yu, F., Kim, S., Simpson, I. J., Blake, D. R., Chang, L., and Kim, M. J.: Limitations in representation of physical processes prevent successful simulation of <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><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> during KORUS-AQ, Atmos. Chem. Phys., 22, 7933–7958, <ext-link xlink:href="https://doi.org/10.5194/acp-22-7933-2022" ext-link-type="DOI">10.5194/acp-22-7933-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>van der Werf, G. R., Randerson, J. T., Giglio, L., van Leeuwen, T. T., Chen, Y., Rogers, B. M., Mu, M., van Marle, M. J. E., Morton, D. C., Collatz, G. J., Yokelson, R. J., and Kasibhatla, P. S.: Global fire emissions estimates during 1997–2016, Earth Syst. Sci. Data, 9, 697–720, <ext-link xlink:href="https://doi.org/10.5194/essd-9-697-2017" ext-link-type="DOI">10.5194/essd-9-697-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>van Donkelaar, A., Martin, R. V., and Park, R. J.: Estimating ground-level <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><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> using aerosol optical depth determined from satellite remote sensing, J. Geophys. Res.-Atmos., 111, 1–10, <ext-link xlink:href="https://doi.org/10.1029/2005JD006996" ext-link-type="DOI">10.1029/2005JD006996</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><mixed-citation>van Donkelaar, A., Martin, R. V., Brauer, M., Kahn, R., Levy, R., Verduzco, C., and Villeneuve, P. J.: Global estimates of ambient fine particulate matter concentrations from satellite-based aerosol optical depth: Development and application, Environ. Health Persp., 118, 847–855, <ext-link xlink:href="https://doi.org/10.1289/ehp.0901623" ext-link-type="DOI">10.1289/ehp.0901623</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><mixed-citation>van Donkelaar, A., Martin, R. V., Spurr, R. J. D., Drury, E., Remer, L. A., Levy, R. C., and Wang, J.: Optimal estimation for global ground-level fine particulate matter concentrations, J. Geophys. Res.-Atmos., 118, 5621–5636, <ext-link xlink:href="https://doi.org/10.1002/jgrd.50479" ext-link-type="DOI">10.1002/jgrd.50479</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><mixed-citation>van Donkelaar, A., Martin, R. V., Spurr, R. J. D., and Burnett, R. T.: High-Resolution Satellite-Derived <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><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> from Optimal Estimation and Geographically Weighted Regression over North America, Environ. Sci. Technol., 49, 10482–10491, <ext-link xlink:href="https://doi.org/10.1021/acs.est.5b02076" ext-link-type="DOI">10.1021/acs.est.5b02076</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><mixed-citation>van Donkelaar, A., Martin, R. V., Brauer, M., Hsu, N. C., Kahn, R. A., Levy, R. C., Lyapustin, A., Sayer, A. M., and Winker, D. M.: Global Estimates of Fine Particulate Matter using a Combined Geophysical-Statistical Method with Information from Satellites, Models, and Monitors, Environ. Sci. Technol., 50, 3762–3772, <ext-link xlink:href="https://doi.org/10.1021/acs.est.5b05833" ext-link-type="DOI">10.1021/acs.est.5b05833</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><mixed-citation>Wang, Q., Jacob, D. J., Spackman, J. R., Perring, A. E., Schwarz, J. P., Moteki, N., Marais, E. A., Ge, C., Wang, J., and Barrett, S. R. H.: Global budget and radiative forcing of black carbon aerosol: Constraints from pole-to-pole (HIPPO) observations across the Pacific, J. Geophys. Res., 119, 195–206, <ext-link xlink:href="https://doi.org/10.1002/2013JD020824" ext-link-type="DOI">10.1002/2013JD020824</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><mixed-citation>Wang, Y., Jacob, D. J., and Logan, J. A.: Global simulation of tropospheric O3-NOx-hydrocarbon chemistry - 1. Model formulation, J. Geophys. Res.-Atmos., 103, 10713–10725, <ext-link xlink:href="https://doi.org/10.1029/98jd00158" ext-link-type="DOI">10.1029/98jd00158</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><mixed-citation>Weagle, C. L., Snider, G., Li, C., Van Donkelaar, A., Philip, S., Bissonnette, P., Burke, J., Jackson, J., Latimer, R., Stone, E., Abboud, I., Akoshile, C., Anh, N. X., Brook, J. R., Cohen, A., Dong, J., Gibson, M. D., Griffith, D., He, K. B., Holben, B. N., Kahn, R., Keller, C. A., Kim, J. S., Lagrosas, N., Lestari, P., Khian, Y. L., Liu, Y., Marais, E. A., Martins, J. V., Misra, A., Muliane, U., Pratiwi, R., Quel, E. J., Salam, A., Segev, L., Tripathi, S. N., Wang, C., Zhang, Q., Brauer, M., Rudich, Y., and Martin, R. V.: Global Sources of Fine Particulate Matter: Interpretation of <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><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> Chemical Composition Observed by SPARTAN using a Global Chemical Transport Model, Environ. Sci. Technol., 52, 11670–11681, <ext-link xlink:href="https://doi.org/10.1021/acs.est.8b01658" ext-link-type="DOI">10.1021/acs.est.8b01658</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><mixed-citation>Weichenthal, S., Pinault, L., Christidis, T., Burnett, R. T., Brook, J. R., Chu, Y., Crouse, D. L., Erickson, A. C., Hystad, P., Li, C., Martin, R. V., Meng, J., Pappin, A. J., Tjepkema, M., van Donkelaar, A., Weagle, C. L., and Brauer, M.: How low can you go? Air pollution affects mortality at very low levels, Science Advances, 8, eabo3381, <ext-link xlink:href="https://doi.org/10.1126/sciadv.abo3381" ext-link-type="DOI">10.1126/sciadv.abo3381</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><mixed-citation>Wendt, E. A., Ford, B., Cheeseman, M., Rosen, Z., Pierce, J. R., H. Jathar, S., L'Orange, C., Quinn, C., Long, M., Mehaffy, J., D. Miller-Lionberg, D., H. Hagan, D., and Volckens, J.: A national crowdsourced network of low-cost fine particulate matter and aerosol optical depth monitors: results from the 2021 wildfire season in the United States, Environmental Science: Atmospheres, 3, 1563–1575, <ext-link xlink:href="https://doi.org/10.1039/D3EA00086A" ext-link-type="DOI">10.1039/D3EA00086A</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><mixed-citation>Weng, H., Lin, J., Martin, R., Millet, D. B., Jaeglé, L., Ridley, D., Keller, C., Li, C., Du, M., and Meng, J.: Global high-resolution emissions of soil NOx, sea salt aerosols, and biogenic volatile organic compounds, Scientific Data, 7, 1–15, <ext-link xlink:href="https://doi.org/10.1038/s41597-020-0488-5" ext-link-type="DOI">10.1038/s41597-020-0488-5</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><mixed-citation>White, W. H., Trzepla, K., Hyslop, N. P., and Schichtel, B. A.: A critical review of filter transmittance measurements for aerosol light absorption, and de novo calibration for a decade of monitoring on PTFE membranes, Aerosol Sci. Tech., 50, 984–1002, <ext-link xlink:href="https://doi.org/10.1080/02786826.2016.1211615" ext-link-type="DOI">10.1080/02786826.2016.1211615</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><mixed-citation>Xin, J., Zhang, Q., Wang, L., Gong, C., Wang, Y., Liu, Z., and Gao, W.: The empirical relationship between the <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><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> concentration and aerosol optical depth over the background of North China from 2009 to 2011, Atmos. Res., 138, 179–188, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2013.11.001" ext-link-type="DOI">10.1016/j.atmosres.2013.11.001</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><mixed-citation>Yang, Q., Yuan, Q., Yue, L., Li, T., Shen, H., and Zhang, L.: The relationships between <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><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 aerosol optical depth (AOD) in mainland China: About and behind the spatio-temporal variations, Environ. Pollut., 248, 526–535, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2019.02.071" ext-link-type="DOI">10.1016/j.envpol.2019.02.071</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><mixed-citation>Zhai, S., Jacob, D. J., Brewer, J. F., Li, K., Moch, J. M., Kim, J., Lee, S., Lim, H., Lee, H. C., Kuk, S. K., Park, R. J., Jeong, J. I., Wang, X., Liu, P., Luo, G., Yu, F., Meng, J., Martin, R. V., Travis, K. R., Hair, J. W., Anderson, B. E., Dibb, J. E., Jimenez, J. L., Campuzano-Jost, P., Nault, B. A., Woo, J.-H., Kim, Y., Zhang, Q., and Liao, H.: Relating geostationary satellite measurements of aerosol optical depth (AOD) over East Asia to fine particulate matter <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>:</mml:mo></mml:mrow></mml:math></inline-formula> insights from the KORUS-AQ aircraft campaign and GEOS-Chem model simulations, Atmos. Chem. Phys., 21, 16775–16791, <ext-link xlink:href="https://doi.org/10.5194/acp-21-16775-2021" ext-link-type="DOI">10.5194/acp-21-16775-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><mixed-citation>Zhang, H., Hoff, R. M., and Engel-Cox, J. A.: The relation between moderate resolution imaging spectroradiometer (MODIS) aerosol optical depth and <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><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> over the United States: A geographical comparison by U. S. Environmental Protection Agency regions, J. Air Waste Manage., 59, 1358–1369, <ext-link xlink:href="https://doi.org/10.3155/1047-3289.59.11.1358" ext-link-type="DOI">10.3155/1047-3289.59.11.1358</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><mixed-citation>Zhang, L., Jacob, D. J., Knipping, E. M., Kumar, N., Munger, J. W., Carouge, C. C., van Donkelaar, A., Wang, Y. X., and Chen, D.: Nitrogen deposition to the United States: distribution, sources, and processes, Atmos. Chem. Phys., 12, 4539–4554, <ext-link xlink:href="https://doi.org/10.5194/acp-12-4539-2012" ext-link-type="DOI">10.5194/acp-12-4539-2012</ext-link>, 2012. </mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><mixed-citation>Zhang, L., Kok, J. F., Henze, D. K., Li, Q., and Zhao, C.: Improving simulations of fine dust surface concentrations over the western United States by optimizing the particle size distribution, Geophys. Res. Lett., 40, 3270–3275, <ext-link xlink:href="https://doi.org/10.1002/grl.50591" ext-link-type="DOI">10.1002/grl.50591</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib83"><label>83</label><mixed-citation>Zhao, B., Jiang, J. H., Diner, D. J., Su, H., Gu, Y., Liou, K.-N., Jiang, Z., Huang, L., Takano, Y., Fan, X., and Omar, A. H.: Intra-annual variations of regional aerosol optical depth, vertical distribution, and particle types from multiple satellite and ground-based observational datasets, Atmos. Chem. Phys., 18, 11247–11260, <ext-link xlink:href="https://doi.org/10.5194/acp-18-11247-2018" ext-link-type="DOI">10.5194/acp-18-11247-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</label><mixed-citation>Zhou, M., Xie, Y., Wang, C., Shen, L., and Mauzerall, D. L.: Impacts of current and climate induced changes in atmospheric stagnation on Indian surface PM<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution, Nat. Commun., 15, 7448, <ext-link xlink:href="https://doi.org/10.1038/s41467-024-51462-y" ext-link-type="DOI">10.1038/s41467-024-51462-y</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib85"><label>85</label><mixed-citation>Zhu, H., Martin, R. V., Croft, B., Zhai, S., Li, C., Bindle, L., Pierce, J. R., Chang, R. Y.-W., Anderson, B. E., Ziemba, L. D., Hair, J. W., Ferrare, R. A., Hostetler, C. A., Singh, I., Chatterjee, D., Jimenez, J. L., Campuzano-Jost, P., Nault, B. A., Dibb, J. E., Schwarz, J. S., and Weinheimer, A.: Parameterization of size of organic and secondary inorganic aerosol for efficient representation of global aerosol optical properties, Atmos. Chem. Phys., 23, 5023–5042, <ext-link xlink:href="https://doi.org/10.5194/acp-23-5023-2023" ext-link-type="DOI">10.5194/acp-23-5023-2023</ext-link>, 2023.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Importance of aerosol composition and  aerosol vertical profiles in global spatial  variation in the relationship between  PM<sub>2.5</sub> and aerosol optical depth</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
      
Amos, H. M., Jacob, D. J., Holmes, C. D., Fisher, J. A., Wang, Q., Yantosca, R. M., Corbitt, E. S., Galarneau, E., Rutter, A. P., Gustin, M. S., Steffen, A., Schauer, J. J., Graydon, J. A., Louis, V. L. St., Talbot, R. W., Edgerton, E. S., Zhang, Y., and Sunderland, E. M.: Gas-particle partitioning of atmospheric Hg(II) and its effect on global mercury deposition, Atmos. Chem. Phys., 12, 591–603, <a href="https://doi.org/10.5194/acp-12-591-2012" target="_blank">https://doi.org/10.5194/acp-12-591-2012</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
      
Banerjee, T., Shitole, A. S., Mhawish, A., Anand, A., Ranjan, R., Khan, M. F., Srithawirat, T., Latif, M. T., and Mall, R. K.:
Aerosol Climatology Over South and Southeast Asia: Aerosol Types, Vertical Profile, and Source Fields, J. Geophys. Res.-Atmos., 126, e2020JD033554, <a href="https://doi.org/10.1029/2020JD033554" target="_blank">https://doi.org/10.1029/2020JD033554</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
      
Benavente, N. R., Vara-Vela, A. L., Nascimento, J. P., Acuna, J. R., Damascena, A. S., de Fatima Andrade, M., and Yamasoe, M. A.:
Air quality simulation with WRF-Chem over southeastern Brazil, part I: Model description and evaluation using ground-based and satellite data, Urban Climate, 52, 101703, <a href="https://doi.org/10.1016/j.uclim.2023.101703" target="_blank">https://doi.org/10.1016/j.uclim.2023.101703</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
      
Bieser, J., Aulinger, A., Matthias, V., Quante, M., and Denier Van Der Gon, H. A. C.:
Vertical emission profiles for Europe based on plume rise calculations, Environ. Pollut., 159, 2935–2946, <a href="https://doi.org/10.1016/J.ENVPOL.2011.04.030" target="_blank">https://doi.org/10.1016/J.ENVPOL.2011.04.030</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
      
Brauer, M., Roth, G. A., Aravkin, A. Y., Zheng, P., Abate, K. H., Abate, Y. H., Abbafati, C., Abbasgholizadeh, R., Abbasi, M. A., Abbasian, M., Abbasifard, M., Abbasi-Kangevari, M., ElHafeez, S. A., Abd-Elsalam, S., Abdi, P., Abdollahi, M., Abdoun, M., Abdulah, D. M., Abdullahi, A., Abebe, M., Abedi, A., Abedi, A., Abegaz, T. M., Zuñiga, R. A. A., Abiodun, O., Abiso, T. L., Aboagye, R. G., Abolhassani, H., Abouzid, M., Aboye, G. B., Abreu, L. G., Abualruz, H., Abubakar, B., Abu-Gharbieh, E., Abukhadijah, H. J. J., Aburuz, S., Abu-Zaid, A., Adane, M. M., Addo, I. Y., Addolorato, G., Adedoyin, R. A., Adekanmbi, V., Aden, B., Adetunji, J. B., Adeyeoluwa, T. E., Adha, R., Adibi, A., Adnani, Q. E. S., Adzigbli, L. A., Afolabi, A. A., Afolabi, R. F., Afshin, A., Afyouni, S., Afzal, M. S., Afzal, S., Agampodi, S. B., Agbozo, F., Aghamiri, S., Agodi, A., Agrawal, A., Agyemang-Duah, W., Ahinkorah, B. O., Ahmad, A., Ahmad, D., Ahmad, F., Ahmad, N., Ahmad, S., Ahmad, T., Ahmed, A., Ahmed, A., Ahmed, A., Ahmed, L. A., Ahmed, M. B., Ahmed, S., Ahmed, S. A., Ajami, M., Akalu, G. T., Akara, E. M., Akbarialiabad, H., Akhlaghi, S., Akinosoglou, K., Akinyemiju, T., Akkaif, M. A., Akkala, S., Akombi-Inyang, B., Awaidy, S. A., Hasan, S. M. A., Alahdab, F., AL-Ahdal, T. M. A., Alalalmeh, S. O., Alalwan, T. A., Al-Aly, Z., Alam, K., Alam, N., Alanezi, F. M., Alanzi, T. M., Albakri, A., AlBataineh, M. T., Aldhaleei, W. A., et al.: Global burden and strength of evidence for 88 risk factors in 204 countries and 811 subnational locations, 1990–2021: a systematic analysis for the Global Burden of Disease Study 2021, Lancet, 403, 2162–2203, <a href="https://doi.org/10.1016/S0140-6736(24)00933-4" target="_blank">https://doi.org/10.1016/S0140-6736(24)00933-4</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
      
Burnett, R., Chen, H., Szyszkowicz, M., Fann, N., Hubbell, B., Pope, C. A., Apte, J. S., Brauer, M., Cohen, A., Weichenthal, S., Coggins, J., Di, Q., Brunekreef, B., Frostad, J., Lim, S. S., Kan, H., Walker, K. D., Thurston, G. D., Hayes, R. B., Lim, C. C., Turner, M. C., Jerrett, M., Krewski, D., Gapstur, S. M., Diver, W. R., Ostro, B., Goldberg, D., Crouse, D. L., Martin, R. V., Peters, P., Pinault, L., Tjepkema, M., Van Donkelaar, A., Villeneuve, P. J., Miller, A. B., Yin, P., Zhou, M., Wang, L., Janssen, N. A. H., Marra, M., Atkinson, R. W., Tsang, H., Thach, T. Q., Cannon, J. B., Allen, R. T., Hart, J. E., Laden, F., Cesaroni, G., Forastiere, F., Weinmayr, G., Jaensch, A., Nagel, G., Concin, H., and Spadaro, J. V.:
Global estimates of mortality associated with longterm exposure to outdoor fine particulate matter, P. Natl. Acad. Sci. USA, 115, 9592–9597, <a href="https://doi.org/10.1073/pnas.1803222115" target="_blank">https://doi.org/10.1073/pnas.1803222115</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
      
Canagaratna, M. R., Jimenez, J. L., Kroll, J. H., Chen, Q., Kessler, S. H., Massoli, P., Hildebrandt Ruiz, L., Fortner, E., Williams, L. R., Wilson, K. R., Surratt, J. D., Donahue, N. M., Jayne, J. T., and Worsnop, D. R.:
Elemental ratio measurements of organic compounds using aerosol mass spectrometry: characterization, improved calibration, and implications, Atmos. Chem. Phys., 15, 253–272, <a href="https://doi.org/10.5194/acp-15-253-2015" target="_blank">https://doi.org/10.5194/acp-15-253-2015</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
      
CEDS: A Community Emissions Data System (CEDS) for Historical Emissions, <a href="https://www.pnnl.gov/projects/ceds" target="_blank"/> (last access: 6 July 2024), 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
      
Center for International Earth Science Information Network – CIESIN: Gridded Population of the World, Version 4 (GPWv4): Population Density, Revision 11, Columbia University, <a href="https://doi.org/10.7927/H49C6VHW" target="_blank">https://doi.org/10.7927/H49C6VHW</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
      
Christidis, T., Erickson, A. C., Pappin, A. J., Crouse, D. L., Pinault, L. L., Weichenthal, S. A., Brook, J. R., van Donkelaar, A., Hystad, P., Martin, R. V., Tjepkema, M., Burnett, R. T., and Brauer, M.:
Low concentrations of fine particle air pollution and mortality in the Canadian Community Health Survey cohort, Environ. Health, 18, 84, <a href="https://doi.org/10.1186/s12940-019-0518-y" target="_blank">https://doi.org/10.1186/s12940-019-0518-y</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
      
Chu, D. A., Ferrare, R., Szykman, J., Lewis, J., Scarino, A., Hains, J., Burton, S., Chen, G., Tsai, T., Hostetler, C., Hair, J., Holben, B., and Crawford, J.:
Regional characteristics of the relationship between columnar AOD and surface PM<sub>2.5</sub>: Application of lidar aerosol extinction profiles over Baltimore–Washington Corridor during DISCOVER-AQ, Atmos. Environ., 101, 338e349-349, <a href="https://doi.org/10.1016/j.atmosenv.2014.11.034" target="_blank">https://doi.org/10.1016/j.atmosenv.2014.11.034</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
      
Cohen, A. J., Brauer, M., Burnett, R., Anderson, H. R., Frostad, J., Estep, K., Balakrishnan, K., Brunekreef, B., Dandona, L., Dandona, R., Feigin, V., Freedman, G., Hubbell, B., Jobling, A., Kan, H., Knibbs, L., Liu, Y., Martin, R., Morawska, L., Pope, C. A., Shin, H., Straif, K., Shaddick, G., Thomas, M., van Dingenen, R., van Donkelaar, A., Vos, T., Murray, C. J. L., and Forouzanfar, M. H.:
Estimates and 25-year trends of the global burden of disease attributable to ambient air pollution: an analysis of data from the Global Burden of Diseases Study 2015, Lancet, 389, 1907–1918, <a href="https://doi.org/10.1016/S0140-6736(17)30505-6" target="_blank">https://doi.org/10.1016/S0140-6736(17)30505-6</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
      
Damascena, A. S., Yamasoe, M. A., Martins, V. S., Rosas, J., Benavente, N. R., Sánchez, M. P., Tanaka, N. I., and Saldiva, P. H. N.:
Exploring the relationship between high-resolution aerosol optical depth values and ground-level particulate matter concentrations in the Metropolitan Area of São Paulo, Atmos. Environ., 244, 117949, <a href="https://doi.org/10.1016/j.atmosenv.2020.117949" target="_blank">https://doi.org/10.1016/j.atmosenv.2020.117949</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
      
Di, Q., Kloog, I., Koutrakis, P., Lyapustin, A., Wang, Y., and Schwartz, J.:
Assessing PM<sub>2.5</sub> Exposures with High Spatiotemporal Resolution across the Continental United States, Environ. Sci. Technol., 50, 4712–4721, <a href="https://doi.org/10.1021/acs.est.5b06121" target="_blank">https://doi.org/10.1021/acs.est.5b06121</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
      
Eastham, S. D., Long, M. S., Keller, C. A., Lundgren, E., Yantosca, R. M., Zhuang, J., Li, C., Lee, C. J., Yannetti, M., Auer, B. M., Clune, T. L., Kouatchou, J., Putman, W. M., Thompson, M. A., Trayanov, A. L., Molod, A. M., Martin, R. V., and Jacob, D. J.:
GEOS-Chem High Performance (GCHP v11-02c): a next-generation implementation of the GEOS-Chem chemical transport model for massively parallel applications, Geosci. Model Dev., 11, 2941–2953, <a href="https://doi.org/10.5194/gmd-11-2941-2018" target="_blank">https://doi.org/10.5194/gmd-11-2941-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
      
Fairlie, D. T., Jacob, D. J., and Park, R. J.:
The impact of transpacific transport of mineral dust in the United States, Atmos. Environ., 41, 1251–1266, <a href="https://doi.org/10.1016/j.atmosenv.2006.09.048" target="_blank">https://doi.org/10.1016/j.atmosenv.2006.09.048</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
      
Ford, B. and Heald, C. L.: Exploring the uncertainty associated with satellite-based estimates of premature mortality due to exposure to fine particulate matter, Atmos. Chem. Phys., 16, 3499–3523, <a href="https://doi.org/10.5194/acp-16-3499-2016" target="_blank">https://doi.org/10.5194/acp-16-3499-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
      
Fountoukis, C. and Nenes, A.:
ISORROPIAII: A computationally efficient thermodynamic equilibrium model for K<sup>+</sup>–Ca<sup>2+</sup>–Mg<sup>2+</sup>–NH<sub>4</sub><sup>+</sup>–Na<sup>+</sup>–SO<sub>4</sub><sup>2</sup>–NO<sub>3</sub><sup>−</sup>–Cl<sup>−</sup>–H<sub>2</sub>O aerosols, Atmospheric Chemistry and Physics, 7, 4639–4659, <a href="https://doi.org/10.5194/acp-7-4639-2007" target="_blank">https://doi.org/10.5194/acp-7-4639-2007</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
      
Geng, G., Zhang, Q., Tong, D., Li, M., Zheng, Y., Wang, S., and He, K.:
Chemical composition of ambient PM<sub>2.5</sub> over China and relationship to precursor emissions during 2005–2012, Atmos. Chem. Phys., 17, 9187–9203, <a href="https://doi.org/10.5194/acp-17-9187-2017" target="_blank">https://doi.org/10.5194/acp-17-9187-2017</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
      
Giles, D. M., Sinyuk, A., Sorokin, M. G., Schafer, J. S., Smirnov, A., Slutsker, I., Eck, T. F., Holben, B. N., Lewis, J. R., Campbell, J. R., Welton, E. J., Korkin, S. V., and Lyapustin, A. I.:
Advancements in the Aerosol Robotic Network (AERONET) Version 3 database – automated near-real-time quality control algorithm with improved cloud screening for Sun photometer aerosol optical depth (AOD) measurements, Atmos. Meas. Tech., 12, 169–209, <a href="https://doi.org/10.5194/amt-12-169-2019" target="_blank">https://doi.org/10.5194/amt-12-169-2019</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
      
Guo, J., Xia, F., Zhang, Y., Liu, H., Li, J., Lou, M., He, J., Yan, Y., Wang, F., Min, M., and Zhai, P.:
Impact of diurnal variability and meteorological factors on the PM<sub>2.5</sub>–AOD relationship: Implications for PM<sub>2.5</sub> remote sensing, Environ. Pollut., 221, 94–104, <a href="https://doi.org/10.1016/j.envpol.2016.11.043" target="_blank">https://doi.org/10.1016/j.envpol.2016.11.043</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
      
Gupta, P., Christopher, S. A., Wang, J., Gehrig, R., Lee, Y., and Kumar, N.:
Satellite remote sensing of particulate matter and air quality assessment over global cities, Atmos. Environ., 40, 5880–5892, <a href="https://doi.org/10.1016/j.atmosenv.2006.03.016" target="_blank">https://doi.org/10.1016/j.atmosenv.2006.03.016</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
      
Hammer, M. S., Martin, R. V., van Donkelaar, A., Buchard, V., Torres, O., Ridley, D. A., and Spurr, R. J. D.:
Interpreting the ultraviolet aerosol index observed with the OMI satellite instrument to understand absorption by organic aerosols: implications for atmospheric oxidation and direct radiative effects, Atmos. Chem. Phys., 16, 2507–2523, <a href="https://doi.org/10.5194/acp-16-2507-2016" target="_blank">https://doi.org/10.5194/acp-16-2507-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
      
Hao, H., Wang, Y., Zhu, Q., Zhang, H., Rosenberg, A., Schwartz, J., Amini, H., van Donkelaar, A., Martin, R., Liu, P., Weber, R., Russel, A., Yitshak-sade, M., Chang, H., and Shi, L.:
National Cohort Study of Long-Term Exposure to PM<sub>2.5</sub> Components and Mortality in Medicare American Older Adults, Environ. Sci. Technol., 57, 6835–6843, <a href="https://doi.org/10.1021/acs.est.2c07064" target="_blank">https://doi.org/10.1021/acs.est.2c07064</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
      
He, Q., Wang, M., and Yim, S. H. L.:
The spatiotemporal relationship between PM<sub>2.5</sub> and aerosol optical depth in China: influencing factors and implications for satellite PM<sub>2.5</sub> estimations using MAIAC aerosol optical depth, Atmos. Chem. Phys., 21, 18375–18391, <a href="https://doi.org/10.5194/acp-21-18375-2021" target="_blank">https://doi.org/10.5194/acp-21-18375-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
      
Heald, C. L., Collett Jr., J. L., Lee, T., Benedict, K. B., Schwandner, F. M., Li, Y., Clarisse, L., Hurtmans, D. R., Van Damme, M., Clerbaux, C., Coheur, P.-F., Philip, S., Martin, R. V., and Pye, H. O. T.:
Atmospheric ammonia and particulate inorganic nitrogen over the United States, Atmos. Chem. Phys., 12, 10295–10312, <a href="https://doi.org/10.5194/acp-12-10295-2012" target="_blank">https://doi.org/10.5194/acp-12-10295-2012</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
      
Hoesly, R. M., Smith, S. J., Feng, L., Klimont, Z., Janssens-Maenhout, G., Pitkanen, T., Seibert, J. J., Vu, L., Andres, R. J., Bolt, R. M., Bond, T. C., Dawidowski, L., Kholod, N., Kurokawa, J.-I., Li, M., Liu, L., Lu, Z., Moura, M. C. P., O'Rourke, P. R., and Zhang, Q.:
Historical (1750–2014) anthropogenic emissions of reactive gases and aerosols from the Community Emissions Data System (CEDS), Geosci. Model Dev., 11, 369–408, <a href="https://doi.org/10.5194/gmd-11-369-2018" target="_blank">https://doi.org/10.5194/gmd-11-369-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
      
Hu, X., Waller, L. A., Lyapustin, A., Wang, Y., and Liu, Y.:
10-year spatial and temporal trends of PM<sub>2.5</sub> concentrations in the southeastern US estimated using high-resolution satellite data, Atmos. Chem. Phys., 14, 6301–6314, <a href="https://doi.org/10.5194/acp-14-6301-2014" target="_blank">https://doi.org/10.5194/acp-14-6301-2014</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
      
Jaeglé, L., Quinn, P. K., Bates, T. S., Alexander, B., and Lin, J.-T.:
Global distribution of sea salt aerosols: new constraints from in situ and remote sensing observations, Atmos. Chem. Phys., 11, 3137–3157, <a href="https://doi.org/10.5194/acp-11-3137-2011" target="_blank">https://doi.org/10.5194/acp-11-3137-2011</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
      
Jin, Q., Crippa, P., and Pryor, S. C.:
Spatial characteristics and temporal evolution of the relationship between PM<sub>2.5</sub> and aerosol optical depth over the eastern USA during 2003–2017, Atmos. Environ., 239, 117718, <a href="https://doi.org/10.1016/j.atmosenv.2020.117718" target="_blank">https://doi.org/10.1016/j.atmosenv.2020.117718</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
      
Jin, X., Fiore, A. M., Curci, G., Lyapustin, A., Civerolo, K., Ku, M., van Donkelaar, A., and Martin, R. V.:
Assessing uncertainties of a geophysical approach to estimate surface fine particulate matter distributions from satellite-observed aerosol optical depth, Atmos. Chem. Phys., 19, 295–313, <a href="https://doi.org/10.5194/acp-19-295-2019" target="_blank">https://doi.org/10.5194/acp-19-295-2019</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
      
Kim, P. S., Jacob, D. J., Fisher, J. A., Travis, K., Yu, K., Zhu, L., Yantosca, R. M., Sulprizio, M. P., Jimenez, J. L., Campuzano-Jost, P., Froyd, K. D., Liao, J., Hair, J. W., Fenn, M. A., Butler, C. F., Wagner, N. L., Gordon, T. D., Welti, A., Wennberg, P. O., Crounse, J. D., St. Clair, J. M., Teng, A. P., Millet, D. B., Schwarz, J. P., Markovic, M. Z., and Perring, A. E.:
Sources, seasonality, and trends of southeast US aerosol: an integrated analysis of surface, aircraft, and satellite observations with the GEOS-Chem chemical transport model, Atmos. Chem. Phys., 15, 10411–10433, <a href="https://doi.org/10.5194/acp-15-10411-2015" target="_blank">https://doi.org/10.5194/acp-15-10411-2015</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
      
Kondragunta, S., Veihelmann, B., and Chatfield, R. J.: Monitoring Surface PM<sub>2.5</sub>: An International Constellation Approach to Enhancing the Role of Satellite Observations, NOAA, <a href="https://doi.org/10.25923/7SNZ-VN34" target="_blank">https://doi.org/10.25923/7SNZ-VN34</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
      
Kopke, P., Hess, M., Schult, I., and Shettle, E. P.: Global Aerosol Data Set, No. 243, Max-Planck-Institut Für Meteorologie, Hamburg, <a href="https://aeris-geisa.ipsl.fr/geisa_files/fichiers_pdf/2011/GADS_MPI-Report_243.pdf" target="_blank"/>
(last access: 12 October 2024), 1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
      
Latimer, R. N. C. and Martin, R. V.:
Interpretation of measured aerosol mass scattering efficiency over North America using a chemical transport model, Atmos. Chem. Phys., 19, 2635–2653, <a href="https://doi.org/10.5194/acp-19-2635-2019" target="_blank">https://doi.org/10.5194/acp-19-2635-2019</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
      
Li, J., Carlson, B. E., and Lacis, A. A.:
How well do satellite AOD observations represent the spatial and temporal variability of PM<sub>2.5</sub> concentration for the United States?, Atmos. Environ., 102, 260–273, <a href="https://doi.org/10.1016/j.atmosenv.2014.12.010" target="_blank">https://doi.org/10.1016/j.atmosenv.2014.12.010</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
      
Li, Y., Martin, R. V., Li, C., Boys, B. L., van Donkelaar, A., Meng, J., and Pierce, J. R.:
Development and evaluation of processes affecting simulation of diel fine particulate matter variation in the GEOS-Chem model, Atmos. Chem. Phys., 23, 12525–12543, <a href="https://doi.org/10.5194/acp-23-12525-2023" target="_blank">https://doi.org/10.5194/acp-23-12525-2023</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
      
Lin, H., Jacob, D. J., Lundgren, E. W., Sulprizio, M. P., Keller, C. A., Fritz, T. M., Eastham, S. D., Emmons, L. K., Campbell, P. C., Baker, B., Saylor, R. D., and Montuoro, R.:
Harmonized Emissions Component (HEMCO) 3.0 as a versatile emissions component for atmospheric models: application in the GEOS-Chem, NASA GEOS, WRF-GC, CESM2, NOAA GEFS-Aerosol, and NOAA UFS models, Geosci. Model Dev., 14, 5487–5506, <a href="https://doi.org/10.5194/gmd-14-5487-2021" target="_blank">https://doi.org/10.5194/gmd-14-5487-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
      
Liu, H., Jacob, D. J., Bey, I., and Yantosca, R. M.:
Constraints from <sup>210</sup>Pb and <sup>7</sup>Be on wet deposition and transport in a global three-dimensional chemical tracer model driven by assimilated meteorological fields, J. Geophys. Res.-Atmos., 106, 12109–12128, <a href="https://doi.org/10.1029/2000JD900839" target="_blank">https://doi.org/10.1029/2000JD900839</a>, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
      
Liu, X., Turner, J. R., Hand, J. L., Schichtel, B. A., and Martin, R. V.:
A Global-Scale Mineral Dust Equation, J. Geophys. Res.-Atmos., 127, e2022JD036937, <a href="https://doi.org/10.1029/2022JD036937" target="_blank">https://doi.org/10.1029/2022JD036937</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
      
Liu, X., Turner, J. R., Oxford, C. R., McNeill, J., Walsh, B., Le Roy, E., Weagle, C. L., Stone, E., Zhu, H., Liu, W., Wei, Z., Hyslop, N. P., Giacomo, J., Dillner, A. M., Salam, A., Hossen, A., Islam, Z., Abboud, I., Akoshile, C., Amador-Muñoz, O., Anh, N. X., Asfaw, A., Balasubramanian, R., Chang, R. Y.-W., Coburn, C., Dey, S., Diner, D. J., Dong, J., Farrah, T., Gahungu, P., Garland, R. M., Grutter de la Mora, M., Hasheminassab, S., John, J., Kim, J., Kim, J. S., Langerman, K., Lee, P.-C., Lestari, P., Liu, Y., Mamo, T., Martins, M., Mayol-Bracero, O. L., Naidoo, M., Park, S. S., Schechner, Y., Schofield, R., Tripathi, S. N., Windwer, E., Wu, M.-T., Zhang, Q., Brauer, M., Rudich, Y., and Martin, R. V.: Elemental Characterization of Ambient Particulate Matter for a Globally Distributed Monitoring Network: Methodology and Implications, ACS EST Air, 1, 283–293, <a href="https://doi.org/10.1021/acsestair.3c00069" target="_blank">https://doi.org/10.1021/acsestair.3c00069</a>,  2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
      
Lyapustin, A., Wang, Y., Korkin, S., and Huang, D.:
MODIS Collection 6 MAIAC algorithm, Atmos. Meas. Tech., 11, 5741–5765, <a href="https://doi.org/10.5194/amt-11-5741-2018" target="_blank">https://doi.org/10.5194/amt-11-5741-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
      
Martin, R. V., Jacob, D. J., Yantosca, R. M., Chin, M., and Ginoux, P.: Global and regional decreases in tropospheric oxidants from photochemical effects of aerosols, J. Geophys. Res.-Atmos., 108, 4097, <a href="https://doi.org/10.1029/2002jd002622" target="_blank">https://doi.org/10.1029/2002jd002622</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
      
Martin, R. V., Brauer, M., van Donkelaar, A., Shaddick, G., Narain, U., and Dey, S.: No one knows which city has the highest concentration of fine particulate matter, Atmospheric Environment: X, 3, 100040, <a href="https://doi.org/10.1016/j.aeaoa.2019.100040" target="_blank">https://doi.org/10.1016/j.aeaoa.2019.100040</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
      
Martin, R. V., Eastham, S. D., Bindle, L., Lundgren, E. W., Clune, T. L., Keller, C. A., Downs, W., Zhang, D., Lucchesi, R. A., Sulprizio, M. P., Yantosca, R. M., Li, Y., Estrada, L., Putman, W. M., Auer, B. M., Trayanov, A. L., Pawson, S., and Jacob, D. J.: Improved advection, resolution, performance, and community access in the new generation (version 13) of the high-performance GEOS-Chem global atmospheric chemistry model (GCHP), Geosci. Model Dev., 15, 8731–8748, <a href="https://doi.org/10.5194/gmd-15-8731-2022" target="_blank">https://doi.org/10.5194/gmd-15-8731-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
      
McDuffie, E. E., Martin, R. V., Spadaro, J. V., Burnett, R., Smith, S. J., O'Rourke, P., Hammer, M. S., van Donkelaar, A., Bindle, L., Shah, V., Jaeglé, L., Luo, G., Yu, F., Adeniran, J. A., Lin, J., and Brauer, M.:
Source sector and fuel contributions to ambient PM<sub>2.5</sub> and attributable mortality across multiple spatial scales, Nat. Commun., 12, 1–12, <a href="https://doi.org/10.1038/s41467-021-23853-y" target="_blank">https://doi.org/10.1038/s41467-021-23853-y</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
      
Meng, J., Martin, R. V., Ginoux, P., Hammer, M., Sulprizio, M. P., Ridley, D. A., and van Donkelaar, A.:
Grid-independent high-resolution dust emissions (v1.0) for chemical transport models: application to GEOS-Chem (12.5.0), Geosci. Model Dev., 14, 4249–4260, <a href="https://doi.org/10.5194/gmd-14-4249-2021" target="_blank">https://doi.org/10.5194/gmd-14-4249-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
      
Miao, R., Chen, Q., Zheng, Y., Cheng, X., Sun, Y., Palmer, P. I., Shrivastava, M., Guo, J., Zhang, Q., Liu, Y., Tan, Z., Ma, X., Chen, S., Zeng, L., Lu, K., and Zhang, Y.:
Model bias in simulating major chemical components of PM<sub>2.5</sub> in China, Atmos. Chem. Phys., 20, 12265–12284, <a href="https://doi.org/10.5194/acp-20-12265-2020" target="_blank">https://doi.org/10.5194/acp-20-12265-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
      
Nguyen, T. T. N., Pham, H. V., Lasko, K., Bui, M. T., Laffly, D., Jourdan, A., and Bui, H. Q.:
Spatiotemporal analysis of ground and satellite-based aerosol for air quality assessment in the Southeast Asia region, Environ. Pollut., 255, 113106, <a href="https://doi.org/10.1016/j.envpol.2019.113106" target="_blank">https://doi.org/10.1016/j.envpol.2019.113106</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
      
Pai, S. J., Heald, C. L., Pierce, J. R., Farina, S. C., Marais, E. A., Jimenez, J. L., Campuzano-Jost, P., Nault, B. A., Middlebrook, A. M., Coe, H., Shilling, J. E., Bahreini, R., Dingle, J. H., and Vu, K.:
An evaluation of global organic aerosol schemes using airborne observations, Atmos. Chem. Phys., 20, 2637–2665, <a href="https://doi.org/10.5194/acp-20-2637-2020" target="_blank">https://doi.org/10.5194/acp-20-2637-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
      
Park, R. J., Jacob, D. J., Chin, M., and Martin, R. V.: Sources of carbonaceous aerosols over the United States and implications for natural visibility, J. Geophys. Res.-Atmos., 108, AAC 5-1–AAC 5-12, <a href="https://doi.org/10.1029/2002jd003190" target="_blank">https://doi.org/10.1029/2002jd003190</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
      
Philip, S., Martin, R. V., van Donkelaar, A., Lo, J. W.-H., Wang, Y., Chen, D., Zhang, L., Kasibhatla, P. S., Wang, S., Zhang, Q., Lu, Z., Streets, D. G., Bittman, S., and Macdonald, D. J.:
Global Chemical Composition of Ambient Fine Particulate Matter for Exposure Assessment, Environ. Sci. Technol., 48, 13060–13068, <a href="https://doi.org/10.1021/es502965b" target="_blank">https://doi.org/10.1021/es502965b</a>, 2014a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
      
Philip, S., Martin, R. V., Pierce, J. R., Jimenez, J. L., Zhang, Q., Canagaratna, M. R., Spracklen, D. V., Nowlan, C. R., Lamsal, L. N., Cooper, M. J., and Krotkov, N. A.:
Spatially and seasonally resolved estimate of the ratio of organic mass to organic carbon, Atmos. Environ., 87, 34–40, <a href="https://doi.org/10.1016/j.atmosenv.2013.11.065" target="_blank">https://doi.org/10.1016/j.atmosenv.2013.11.065</a>, 2014b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
      
Philip, S., Martin, R. V., Snider, G., Weagle, C. L., Van Donkelaar, A., Brauer, M., Henze, D. K., Klimont, Z., Venkataraman, C., Guttikunda, S. K., and Zhang, Q.: Anthropogenic fugitive, combustion and industrial dust is a significant, underrepresented fine particulate matter source in global atmospheric models, Environ. Res. Lett., 12, 044018, <a href="https://doi.org/10.1088/1748-9326/aa65a4" target="_blank">https://doi.org/10.1088/1748-9326/aa65a4</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
      
Pinault, L., Tjepkema, M., Crouse, D. L., Weichenthal, S., van Donkelaar, A., Martin, R. V., Brauer, M., Chen, H., and Burnett, R. T.:
Risk estimates of mortality attributed to low concentrations of ambient fine particulate matter in the Canadian community health survey cohort, Environ. Health, 15, 18, <a href="https://doi.org/10.1186/s12940-016-0111-6" target="_blank">https://doi.org/10.1186/s12940-016-0111-6</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
      
Prank, M., Sofiev, M., Tsyro, S., Hendriks, C., Semeena, V., Vazhappilly Francis, X., Butler, T., Denier van der Gon, H., Friedrich, R., Hendricks, J., Kong, X., Lawrence, M., Righi, M., Samaras, Z., Sausen, R., Kukkonen, J., and Sokhi, R.:
Evaluation of the performance of four chemical transport models in predicting the aerosol chemical composition in Europe in 2005, Atmos. Chem. Phys., 16, 6041–6070, <a href="https://doi.org/10.5194/acp-16-6041-2016" target="_blank">https://doi.org/10.5194/acp-16-6041-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
      
Sayer, A. M., Munchak, L. A., Hsu, N. C., Levy, R. C., Bettenhausen, C., and Jeong, M. J.:
MODIS Collection 6 aerosol products: Comparison between Aqua's e-Deep Blue, Dark Target, and “merged” data sets, and usage recommendations, J. Geophys. Res.-Atmos., 119, 13965–13989, <a href="https://doi.org/10.1002/2014JD022453" target="_blank">https://doi.org/10.1002/2014JD022453</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
      
Schubert, S. D., Rood, R. B., and Pfaendtner, J.:
An Assimilated Dataset for Earth Science Applications, B. Am. Meteorol. Soc., 74, 2331–2342, <a href="https://doi.org/10.1175/1520-0477(1993)074&lt;2331:AADFES&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0477(1993)074&lt;2331:AADFES&gt;2.0.CO;2</a>, 1993.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
      
Sha, T., Ma, X., Jia, H., Tian, R., Chang, Y., Cao, F., and Zhang, Y.:
Aerosol chemical component: Simulations with WRF-Chem and comparison with observations in Nanjing, Atmos. Environ., 218, 116982, <a href="https://doi.org/10.1016/j.atmosenv.2019.116982" target="_blank">https://doi.org/10.1016/j.atmosenv.2019.116982</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
      
Shimadera, H., Hayami, H., Chatani, S., Morino, Y., Mori, Y., Morikawa, T., Yamaji, K., and Ohara, T.: Sensitivity analyses of factors influencing CMAQ performance for fine particulate nitrate, J. Air Waste Manage., 64, 374–387, <a href="https://doi.org/10.1080/10962247.2013.778919" target="_blank">https://doi.org/10.1080/10962247.2013.778919</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
      
Snider, G., Weagle, C. L., Murdymootoo, K. K., Ring, A., Ritchie, Y., Stone, E., Walsh, A., Akoshile, C., Anh, N. X., Balasubramanian, R., Brook, J., Qonitan, F. D., Dong, J., Griffith, D., He, K., Holben, B. N., Kahn, R., Lagrosas, N., Lestari, P., Ma, Z., Misra, A., Norford, L. K., Quel, E. J., Salam, A., Schichtel, B., Segev, L., Tripathi, S., Wang, C., Yu, C., Zhang, Q., Zhang, Y., Brauer, M., Cohen, A., Gibson, M. D., Liu, Y., Martins, J. V., Rudich, Y., and Martin, R. V.:
Variation in global chemical composition of PM<sub>2.5</sub>: emerging results from SPARTAN, Atmos. Chem. Phys., 16, 9629–9653, <a href="https://doi.org/10.5194/acp-16-9629-2016" target="_blank">https://doi.org/10.5194/acp-16-9629-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
      
The International GEOS-Chem User Community: geoschem/GCHP: GCHP 13.4.0 (13.4.0), Zenodo [data set], <a href="https://doi.org/10.5281/zenodo.6512251" target="_blank">https://doi.org/10.5281/zenodo.6512251</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
      
Travis, K. R., Crawford, J. H., Chen, G., Jordan, C. E., Nault, B. A., Kim, H., Jimenez, J. L., Campuzano-Jost, P., Dibb, J. E., Woo, J.-H., Kim, Y., Zhai, S., Wang, X., McDuffie, E. E., Luo, G., Yu, F., Kim, S., Simpson, I. J., Blake, D. R., Chang, L., and Kim, M. J.:
Limitations in representation of physical processes prevent successful simulation of PM<sub>2.5</sub> during KORUS-AQ, Atmos. Chem. Phys., 22, 7933–7958, <a href="https://doi.org/10.5194/acp-22-7933-2022" target="_blank">https://doi.org/10.5194/acp-22-7933-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
      
van der Werf, G. R., Randerson, J. T., Giglio, L., van Leeuwen, T. T., Chen, Y., Rogers, B. M., Mu, M., van Marle, M. J. E., Morton, D. C., Collatz, G. J., Yokelson, R. J., and Kasibhatla, P. S.:
Global fire emissions estimates during 1997–2016, Earth Syst. Sci. Data, 9, 697–720, <a href="https://doi.org/10.5194/essd-9-697-2017" target="_blank">https://doi.org/10.5194/essd-9-697-2017</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
      
van Donkelaar, A., Martin, R. V., and Park, R. J.:
Estimating ground-level PM<sub>2.5</sub> using aerosol optical depth determined from satellite remote sensing, J. Geophys. Res.-Atmos., 111, 1–10, <a href="https://doi.org/10.1029/2005JD006996" target="_blank">https://doi.org/10.1029/2005JD006996</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
      
van Donkelaar, A., Martin, R. V., Brauer, M., Kahn, R., Levy, R., Verduzco, C., and Villeneuve, P. J.:
Global estimates of ambient fine particulate matter concentrations from satellite-based aerosol optical depth: Development and application, Environ. Health Persp., 118, 847–855, <a href="https://doi.org/10.1289/ehp.0901623" target="_blank">https://doi.org/10.1289/ehp.0901623</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
      
van Donkelaar, A., Martin, R. V., Spurr, R. J. D., Drury, E., Remer, L. A., Levy, R. C., and Wang, J.:
Optimal estimation for global ground-level fine particulate matter concentrations, J. Geophys. Res.-Atmos., 118, 5621–5636, <a href="https://doi.org/10.1002/jgrd.50479" target="_blank">https://doi.org/10.1002/jgrd.50479</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
      
van Donkelaar, A., Martin, R. V., Spurr, R. J. D., and Burnett, R. T.:
High-Resolution Satellite-Derived PM<sub>2.5</sub> from Optimal Estimation and Geographically Weighted Regression over North America, Environ. Sci. Technol., 49, 10482–10491, <a href="https://doi.org/10.1021/acs.est.5b02076" target="_blank">https://doi.org/10.1021/acs.est.5b02076</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
      
van Donkelaar, A., Martin, R. V., Brauer, M., Hsu, N. C., Kahn, R. A., Levy, R. C., Lyapustin, A., Sayer, A. M., and Winker, D. M.:
Global Estimates of Fine Particulate Matter using a Combined Geophysical-Statistical Method with Information from Satellites, Models, and Monitors, Environ. Sci. Technol., 50, 3762–3772, <a href="https://doi.org/10.1021/acs.est.5b05833" target="_blank">https://doi.org/10.1021/acs.est.5b05833</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
      
Wang, Q., Jacob, D. J., Spackman, J. R., Perring, A. E., Schwarz, J. P., Moteki, N., Marais, E. A., Ge, C., Wang, J., and Barrett, S. R. H.:
Global budget and radiative forcing of black carbon aerosol: Constraints from pole-to-pole (HIPPO) observations across the Pacific, J. Geophys. Res., 119, 195–206, <a href="https://doi.org/10.1002/2013JD020824" target="_blank">https://doi.org/10.1002/2013JD020824</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
      
Wang, Y., Jacob, D. J., and Logan, J. A.:
Global simulation of tropospheric O3-NOx-hydrocarbon chemistry - 1. Model formulation, J. Geophys. Res.-Atmos., 103, 10713–10725, <a href="https://doi.org/10.1029/98jd00158" target="_blank">https://doi.org/10.1029/98jd00158</a>, 1998.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
      
Weagle, C. L., Snider, G., Li, C., Van Donkelaar, A., Philip, S., Bissonnette, P., Burke, J., Jackson, J., Latimer, R., Stone, E., Abboud, I., Akoshile, C., Anh, N. X., Brook, J. R., Cohen, A., Dong, J., Gibson, M. D., Griffith, D., He, K. B., Holben, B. N., Kahn, R., Keller, C. A., Kim, J. S., Lagrosas, N., Lestari, P., Khian, Y. L., Liu, Y., Marais, E. A., Martins, J. V., Misra, A., Muliane, U., Pratiwi, R., Quel, E. J., Salam, A., Segev, L., Tripathi, S. N., Wang, C., Zhang, Q., Brauer, M., Rudich, Y., and Martin, R. V.:
Global Sources of Fine Particulate Matter: Interpretation of PM<sub>2.5</sub> Chemical Composition Observed by SPARTAN using a Global Chemical Transport Model, Environ. Sci. Technol., 52, 11670–11681, <a href="https://doi.org/10.1021/acs.est.8b01658" target="_blank">https://doi.org/10.1021/acs.est.8b01658</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
      
Weichenthal, S., Pinault, L., Christidis, T., Burnett, R. T., Brook, J. R., Chu, Y., Crouse, D. L., Erickson, A. C., Hystad, P., Li, C., Martin, R. V., Meng, J., Pappin, A. J., Tjepkema, M., van Donkelaar, A., Weagle, C. L., and Brauer, M.:
How low can you go? Air pollution affects mortality at very low levels, Science Advances, 8, eabo3381, <a href="https://doi.org/10.1126/sciadv.abo3381" target="_blank">https://doi.org/10.1126/sciadv.abo3381</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
      
Wendt, E. A., Ford, B., Cheeseman, M., Rosen, Z., Pierce, J. R., H. Jathar, S., L'Orange, C., Quinn, C., Long, M., Mehaffy, J., D. Miller-Lionberg, D., H. Hagan, D., and Volckens, J.:
A national crowdsourced network of low-cost fine particulate matter and aerosol optical depth monitors: results from the 2021 wildfire season in the United States, Environmental Science: Atmospheres, 3, 1563–1575, <a href="https://doi.org/10.1039/D3EA00086A" target="_blank">https://doi.org/10.1039/D3EA00086A</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>
      
Weng, H., Lin, J., Martin, R., Millet, D. B., Jaeglé, L., Ridley, D., Keller, C., Li, C., Du, M., and Meng, J.:
Global high-resolution emissions of soil NOx, sea salt aerosols, and biogenic volatile organic compounds, Scientific Data, 7, 1–15, <a href="https://doi.org/10.1038/s41597-020-0488-5" target="_blank">https://doi.org/10.1038/s41597-020-0488-5</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>
      
White, W. H., Trzepla, K., Hyslop, N. P., and Schichtel, B. A.: A critical review of filter transmittance measurements for aerosol light absorption, and de novo calibration for a decade of monitoring on PTFE membranes, Aerosol Sci. Tech., 50, 984–1002, <a href="https://doi.org/10.1080/02786826.2016.1211615" target="_blank">https://doi.org/10.1080/02786826.2016.1211615</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
      
Xin, J., Zhang, Q., Wang, L., Gong, C., Wang, Y., Liu, Z., and Gao, W.:
The empirical relationship between the PM<sub>2.5</sub> concentration and aerosol optical depth over the background of North China from 2009 to 2011, Atmos. Res., 138, 179–188, <a href="https://doi.org/10.1016/j.atmosres.2013.11.001" target="_blank">https://doi.org/10.1016/j.atmosres.2013.11.001</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
      
Yang, Q., Yuan, Q., Yue, L., Li, T., Shen, H., and Zhang, L.:
The relationships between PM<sub>2.5</sub> and aerosol optical depth (AOD) in mainland China: About and behind the spatio-temporal variations, Environ. Pollut., 248, 526–535, <a href="https://doi.org/10.1016/j.envpol.2019.02.071" target="_blank">https://doi.org/10.1016/j.envpol.2019.02.071</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
      
Zhai, S., Jacob, D. J., Brewer, J. F., Li, K., Moch, J. M., Kim, J., Lee, S., Lim, H., Lee, H. C., Kuk, S. K., Park, R. J., Jeong, J. I., Wang, X., Liu, P., Luo, G., Yu, F., Meng, J., Martin, R. V., Travis, K. R., Hair, J. W., Anderson, B. E., Dibb, J. E., Jimenez, J. L., Campuzano-Jost, P., Nault, B. A., Woo, J.-H., Kim, Y., Zhang, Q., and Liao, H.: Relating geostationary satellite measurements of aerosol optical depth (AOD) over East Asia to fine particulate matter (PM<sub>2.5</sub>) :  insights from the KORUS-AQ aircraft campaign and GEOS-Chem model simulations, Atmos. Chem. Phys., 21, 16775–16791, <a href="https://doi.org/10.5194/acp-21-16775-2021" target="_blank">https://doi.org/10.5194/acp-21-16775-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
      
Zhang, H., Hoff, R. M., and Engel-Cox, J. A.: The relation between moderate resolution imaging spectroradiometer (MODIS) aerosol optical depth and PM<sub>2.5</sub> over the United States: A geographical comparison by U. S. Environmental Protection Agency regions, J. Air Waste Manage., 59, 1358–1369, <a href="https://doi.org/10.3155/1047-3289.59.11.1358" target="_blank">https://doi.org/10.3155/1047-3289.59.11.1358</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
      
Zhang, L., Jacob, D. J., Knipping, E. M., Kumar, N., Munger, J. W., Carouge, C. C., van Donkelaar, A., Wang, Y. X., and Chen, D.:
Nitrogen deposition to the United States: distribution, sources, and processes, Atmos. Chem. Phys., 12, 4539–4554, <a href="https://doi.org/10.5194/acp-12-4539-2012" target="_blank">https://doi.org/10.5194/acp-12-4539-2012</a>, 2012.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>
      
Zhang, L., Kok, J. F., Henze, D. K., Li, Q., and Zhao, C.:
Improving simulations of fine dust surface concentrations over the western United States by optimizing the particle size distribution, Geophys. Res. Lett., 40, 3270–3275, <a href="https://doi.org/10.1002/grl.50591" target="_blank">https://doi.org/10.1002/grl.50591</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation>
      
Zhao, B., Jiang, J. H., Diner, D. J., Su, H., Gu, Y., Liou, K.-N., Jiang, Z., Huang, L., Takano, Y., Fan, X., and Omar, A. H.:
Intra-annual variations of regional aerosol optical depth, vertical distribution, and particle types from multiple satellite and ground-based observational datasets, Atmos. Chem. Phys., 18, 11247–11260, <a href="https://doi.org/10.5194/acp-18-11247-2018" target="_blank">https://doi.org/10.5194/acp-18-11247-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</label><mixed-citation>
      
Zhou, M., Xie, Y., Wang, C., Shen, L., and Mauzerall, D. L.: Impacts of current and climate induced changes in atmospheric stagnation on Indian surface PM<sub>2.5</sub> pollution, Nat. Commun., 15, 7448, <a href="https://doi.org/10.1038/s41467-024-51462-y" target="_blank">https://doi.org/10.1038/s41467-024-51462-y</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>85</label><mixed-citation>
      
Zhu, H., Martin, R. V., Croft, B., Zhai, S., Li, C., Bindle, L., Pierce, J. R., Chang, R. Y.-W., Anderson, B. E., Ziemba, L. D., Hair, J. W., Ferrare, R. A., Hostetler, C. A., Singh, I., Chatterjee, D., Jimenez, J. L., Campuzano-Jost, P., Nault, B. A., Dibb, J. E., Schwarz, J. S., and Weinheimer, A.:
Parameterization of size of organic and secondary inorganic aerosol for efficient representation of global aerosol optical properties, Atmos. Chem. Phys., 23, 5023–5042, <a href="https://doi.org/10.5194/acp-23-5023-2023" target="_blank">https://doi.org/10.5194/acp-23-5023-2023</a>, 2023.

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