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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</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/amt-18-1471-2025</article-id><title-group><article-title>Estimating hourly ground-level aerosols using Geostationary Environment Monitoring Spectrometer aerosol optical depth: a machine learning approach</article-title><alt-title>PM<sub>10</sub> estimation from GEMS AOD</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>O</surname><given-names>Sungmin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7364-2122</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Yoon</surname><given-names>Ji Won</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2 aff3 aff4">
          <name><surname>Park</surname><given-names>Seon Ki</given-names></name>
          <email>spark@ewha.ac.kr</email>
        <ext-link>https://orcid.org/0000-0002-8538-911X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Electronic &amp; AI System Engineering, Kangwon National University, Samcheok, Republic of Korea</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Center for Climate/Environment Change Prediction Research, Ewha Womans University, Seoul, Republic of Korea</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Severe Storm Research Center, Ewha Womans University, Seoul, Republic of Korea</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Climate and Energy Systems Engineering, Ewha Womans University, Seoul, Republic of Korea</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Seon Ki Park (spark@ewha.ac.kr)</corresp></author-notes><pub-date><day>28</day><month>March</month><year>2025</year></pub-date>
      
      <volume>18</volume>
      <issue>6</issue>
      <fpage>1471</fpage><lpage>1484</lpage>
      <history>
        <date date-type="received"><day>16</day><month>August</month><year>2024</year></date>
           <date date-type="rev-request"><day>26</day><month>August</month><year>2024</year></date>
           <date date-type="rev-recd"><day>12</day><month>January</month><year>2025</year></date>
           <date date-type="accepted"><day>21</day><month>January</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Sungmin O et al.</copyright-statement>
        <copyright-year>2025</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://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025.html">This article is available from https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e129">The Geostationary Environment Monitoring Spectrometer (GEMS) is the world's first ultraviolet–visible instrument for air quality monitoring in geostationary orbit. Since its launch in 2020, GEMS has provided hourly daytime air quality information over Asia. However, to date, validation and applications of these data are largely lacking. Here we evaluate the effectiveness of the first 2 years of GEMS aerosol optical depth (AOD) data in estimating ground-level particulate matter (PM) concentrations at an hourly scale. To do so, we train random forest and XGBoost machine learning algorithms using GEMS AOD data and meteorological variables as input features, then employ the trained models to estimate PM<sub>10</sub> and PM<sub>2.5</sub> concentrations in South Korea. The model-estimated PM concentrations capture the spatial and temporal variations observed in ground-based measurements well, showing strong correlations. However, they exhibit noticeable biases at the extremes, with a tendency to overestimate concentrations at lower PM levels and underestimate them at higher PM levels. Incorporating locally available data, such as carbon monoxide and nitrogen dioxide measurements, into the model training further enhances performance, improving correlations and reducing errors. Moreover, we demonstrate the feasibility of using machine learning models with neighbouring station data to estimate PM concentrations at ungauged locations where ground PM measurements are not available. Our results will serve as a reference to aid the evaluation of future GEMS AOD retrieval algorithm improvements and also provide initial guidance for data users.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Research Foundation of Korea</funding-source>
<award-id>2021R1A2C1095535</award-id>
<award-id>2018R1A6A1A08025520</award-id>
<award-id>RS-2023-00248706</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="d2e159">The adverse impacts of particulate matter (PM) on human health are well known. Exposure to high PM concentrations can cause serious health risks such as cancers, respiratory diseases, and cardiovascular diseases <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx34 bib1.bibx7 bib1.bibx45" id="paren.1"/>. PM can also have a harmful effect on ecosystems through deposition of PM and its subsequent uptake by plants <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx52" id="paren.2"/>. Accordingly, in many countries, it is mandatory to control ambient PM concentrations, and regular PM concentration measurements are key to designing appropriate policies to constrain the presence of PM. Given this background, the number of air quality monitoring stations has been growing worldwide; however, these ground-based measurement stations are often concentrated in city areas only and sparsely distributed to provide spatially continuous data <xref ref-type="bibr" rid="bib1.bibx43" id="paren.3"/>.</p>
      <p id="d2e171">In contrast, satellite observational data, with their broad spatial coverage, can potentially be used to improve air quality monitoring (including PM) on a regional to global scale. In this context, the Geostationary Environment Monitoring Spectrometer (GEMS) on board the Geostationary Korea Multi-Purpose Satellite-2B (GEO-KOMPSAT-2B), which was launched in 2020 by South Korea, aims for near-real-time monitoring of air quality over Asia <xref ref-type="bibr" rid="bib1.bibx32" id="paren.4"/> where air quality is one of the biggest environmental health risks <xref ref-type="bibr" rid="bib1.bibx27" id="paren.5"/>. As the first ultraviolet (UV)–visible instrument in a geosynchronous orbit, GEMS can provide more detailed and frequent air quality data than existing low-Earth-orbit platforms. Since the first release of the GEMS data, some verification of its initial air pollutant products, including nitrogen dioxide and ozone, has recently been performed, e.g. <xref ref-type="bibr" rid="bib1.bibx1" id="text.6"/>, <xref ref-type="bibr" rid="bib1.bibx33" id="text.7"/>, and <xref ref-type="bibr" rid="bib1.bibx16" id="text.8"/>. However, data validation and applications of many GEMS products are still largely lacking.</p>
      <p id="d2e189">We focus on the GEMS aerosol optical depth (AOD), which measures the degree of light scattering or absorption at a given wavelength due to the presence of aerosols in the atmospheric column <xref ref-type="bibr" rid="bib1.bibx6" id="paren.9"/>. Satellite-derived AOD serves as a crucial proxy for understanding aerosol distribution and its impact on air quality. However, the accuracy of satellite AOD data needs to be validated to ensure their reliability for downstream applications, including ground-level PM estimation. Typically, this involves comparisons with ground-based measurements (e.g. <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx42" id="altparen.10"/>). For instance, <xref ref-type="bibr" rid="bib1.bibx5" id="text.11"/> evaluated various satellite-derived AODs against ground-based AOD measurements collected during the 2016 KORUS-AQ campaign in East Asia. Similarly, <xref ref-type="bibr" rid="bib1.bibx4" id="text.12"/> validated the performance of GEMS aerosol products against ground-measured data. Both studies revealed a good correlation between satellite and ground-based AOD data, demonstrating the utility of satellite-derived AOD for monitoring data-scarce regions.</p>
      <p id="d2e204">Here we first evaluate GEMS AOD data through a direct comparison with ground-based Aerosol Robotic Network (AERONET) observations over South Korea. However, we place greater emphasis on evaluating the utility of GEMS AOD for estimating ground-level PM concentrations, as it offers a unique opportunity to address aerosol data gaps in Asia <xref ref-type="bibr" rid="bib1.bibx63" id="paren.13"/>. Moreover, South Korea has nationwide air quality monitoring stations, allowing us to obtain continuous and large data samples (PM<sub>10</sub> and PM<sub>2.5</sub>) for validating the satellite data. To better utilize GEMS AOD for ground-level PM estimation, we employ machine learning models, which offer the advantage of experimenting with a wide range of input variables. For example, ground-level aerosols are not related to AOD only but influenced by meteorological conditions or precursor pollutants such as sulfur dioxide (SO<sub>2</sub>) and nitrogen dioxide (NO<sub>2</sub>). Machine learning allows for the efficient integration and processing of these diverse datasets, enhancing the ability to utilize AOD for aerosol estimation.</p>
      <p id="d2e247">Satellite-derived AOD has already been widely used to predict ground-level PM concentrations <xref ref-type="bibr" rid="bib1.bibx55" id="paren.14"/>, as can be seen in the example of the Moderate Resolution Imaging Spectroradiometer or Geostationary Operational Environmental Satellite <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx6 bib1.bibx65 bib1.bibx66 bib1.bibx23" id="paren.15"/>. Nonetheless, inconsistent relationships between satellite-derived AOD and ground-level PM observations have been reported among different regions and based on data from different satellite instruments <xref ref-type="bibr" rid="bib1.bibx65" id="paren.16"/>. Therefore, there is an urgent need to evaluate the effectiveness of GEMS AOD data in estimating PM concentrations over Asia, which can in turn provide initial guidance for both data users and algorithm developers.</p>
      <p id="d2e259">Consequently, our study aims to demonstrate the usefulness of GEMS AOD in PM modelling and highlight limitations in the current version of the data. To achieve this, we use GEMS AOD data over South Korea during the first 2 years of observations from January 2022 through to December 2023 (the very first data were available from November 2021). To estimate surface PM concentrations using AOD, additional input variables (meteorological data) are obtained from reanalysis data. For the model, we employ random forest (RF) and extreme gradient boosting (XGBoost), which are widely used machine learning methods for PM estimation given their great flexibility and strong predictive performance <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx55 bib1.bibx28 bib1.bibx19" id="paren.17"/>. This approach considers the general application of GEMS AOD in other Asian regions within the GEMS observation coverage beyond South Korea. Reanalysis data are particularly advantageous for obtaining meteorological variables in regions lacking ground-based weather observations. Furthermore, machine learning models provide practical benefits, as they can be applied to different regions without requiring extensive model parameter adjustments compared to physical models. In addition, we assess the potential improvement in machine learning model performance by incorporating supplementary surface chemical data available in South Korea. The results of this analysis are reported in detail.</p>
      <p id="d2e265">In the following sections, we first describe the data and their preprocessing in Sect. <xref ref-type="sec" rid="Ch1.S2"/>. Section <xref ref-type="sec" rid="Ch1.S3"/> details the methodology, including the machine learning models employed for PM estimation. In Sect. <xref ref-type="sec" rid="Ch1.S4"/>, we present the results and discuss their implications, followed by conclusions and future research directions in Sect. <xref ref-type="sec" rid="Ch1.S5"/>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data</title>
      <p id="d2e284">The hourly PM concentration data in South Korea for the period of January 2022 to December 2023 used in this study are obtained from the real-time ambient air quality monitoring system called AirKorea (<uri>https://www.airkorea.or.kr/</uri>, last access: 30 January 2025, operated by the Korea Environment Corporation, a government-affiliated public institution under the Ministry of Environment. The PM concentrations are determined using a <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-ray absorption method <xref ref-type="bibr" rid="bib1.bibx25" id="paren.18"/>, and the measurements have undergone quality controls to remove anomalous values before the release of the final data. Out of more than 600 ground-based AirKorea stations, we select a total of 499 urban air quality monitoring stations to represent human exposure to PM. While the stations are distributed across the country, a large number of stations are concentrated in the densely populated Seoul capital area.</p>
      <p id="d2e300">The GEMS on board the GEO-COMPSAT-2B satellite has been in operation since 2020. The GEMS instrument measures the UV–visible radiance spectrum, and its geostationary orbit enables AOD retrievals at an hourly frequency during cloud-free daytime conditions <xref ref-type="bibr" rid="bib1.bibx32" id="paren.19"/>. The GEMS measures radiance in the 300–500 nm range with a spectral resolution of 0.6 nm and retrieves aerosol properties. The GEMS aerosol retrieval algorithm (AERAOD) uses the optimal estimation (OE) method, which integrates satellite-observed radiances with initial estimates of aerosol properties, including AOD, derived from the two-channel inversion approach employed by the OMAERUV algorithm <xref ref-type="bibr" rid="bib1.bibx59" id="paren.20"/>. The GEMS aerosol products provide final AOD data at three wavelength channels with a nominal spatial resolution of 3.5 km <inline-formula><mml:math id="M9" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 8 km in Seoul. Further details about the GEMS aerosol retrievals can be found from <xref ref-type="bibr" rid="bib1.bibx47" id="text.21"/> and <xref ref-type="bibr" rid="bib1.bibx18" id="text.22"/>. We use GEMS AOD Level 2 (L2) data (at 443 nm), extracted within a <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> min time window of the PM measurement times and taken from the pixel nearest to the AirKorea monitoring stations, with an average distance of 2.03 km. However, GEMS data values are often missing at the closest pixel due to issues such as cloud contamination or sun glint, resulting in an average of 1990 AOD–PM data pairs per station (see Fig. S1 in the Supplement). Note that GEMS provides hourly observations of AOD during the daytime, corresponding to 6 to 10 times per day depending on the season.</p>
      <p id="d2e333">The relationship between AOD and PM concentrations can be affected by meteorological conditions <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx58 bib1.bibx24" id="paren.23"/>. We regard boundary layer height (BLH), relative humidity (RH), air temperature (TEMP), surface pressure (SP), and wind speed and direction (WS and WD, respectively) as input features, in addition to AOD, to estimate the PM concentrations using machine learning models. These input variables are selected based on previous studies <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx24" id="paren.24"/>, including <xref ref-type="bibr" rid="bib1.bibx54" id="text.25"/>, which examine the importance of incorporating meteorological data for accurate PM estimation in South Korea using satellite-derived AOD. BLH data from the fifth-generation ECMWF reanalysis (ERA5) at a 0.25° resolution are employed as a proxy for the vertical aerosol concentration in the lower troposphere as AOD is assumed to represent attenuation in the boundary layer <xref ref-type="bibr" rid="bib1.bibx21" id="paren.26"/>. The other variables are all obtained from ERA5-Land at a 0.1° resolution. RH is computed using temperature and dew temperature <xref ref-type="bibr" rid="bib1.bibx36" id="paren.27"/>, while wind speed and direction are calculated using <inline-formula><mml:math id="M11" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M12" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula> wind components. Both ERA5 and ERA5-Land data are available at an hourly temporal resolution <xref ref-type="bibr" rid="bib1.bibx26" id="paren.28"/>. Both gridded datasets are interpolated to the locations of AirKorea stations using inverse distance weighting based on the four closest grid points. If data are missing in the nearest grid points (e.g. over ocean areas), the corresponding locations are excluded from the analysis.</p>
      <p id="d2e369">We obtain input data from reanalysis datasets that are readily available across all areas within the GEMS satellite observation coverage. This ensures that the experiment conducted in this study can be easily extended to other locations, including other Asian countries, particularly in areas where meteorological measurements are unavailable. Additionally, reanalysis datasets provide consistent and reliable data updates over space and time. Nonetheless, it is well known that gases such as carbon monoxide (CO), NO<sub>2</sub>, and SO<sub>2</sub> can influence PM formation mechanisms either directly or indirectly <xref ref-type="bibr" rid="bib1.bibx38" id="paren.29"/>. Therefore, we also incorporate chemical data measured at the AirKorea stations as additional input features. In this way, we can evaluate the potential improvements in PM estimation using AOD when supplemented with additional information, and we report the corresponding results. The input variables used in this study are listed in Table <xref ref-type="table" rid="Ch1.T1"/>.</p>

<table-wrap id="Ch1.T1" specific-use="star"><label>Table 1</label><caption><p id="d2e399">List of input and target data used in PM modelling.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

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

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

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

         <oasis:entry colname="col4">Data source</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

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

         <oasis:entry namest="col1" nameend="col4">Input data </oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

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

         <oasis:entry colname="col1">Aerosol data</oasis:entry>

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

         <oasis:entry colname="col3">Aerosol optical depth</oasis:entry>

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

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="5">Meteorological</oasis:entry>

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

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

         <oasis:entry colname="col4">ERA5</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col4">ERA5-Land</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Air temperature</oasis:entry>

         <oasis:entry colname="col4">ERA5-Land</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col4">ERA5-Land</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

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

         <oasis:entry colname="col3">Wind speed</oasis:entry>

         <oasis:entry colname="col4">ERA5-Land</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

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

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

         <oasis:entry colname="col3">Wind direction</oasis:entry>

         <oasis:entry colname="col4">ERA5-Land</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

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

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

         <oasis:entry colname="col3">Carbon monoxide</oasis:entry>

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

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">SO<sub>2</sub></oasis:entry>

         <oasis:entry colname="col3">Sulfur dioxide</oasis:entry>

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

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">NO<sub>2</sub></oasis:entry>

         <oasis:entry colname="col3">Nitrogen dioxide</oasis:entry>

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

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

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

         <oasis:entry colname="col2">O<sub>3</sub></oasis:entry>

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

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

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

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

         <oasis:entry namest="col1" nameend="col4">Target data </oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1">Particulate matter</oasis:entry>

         <oasis:entry colname="col2">PM<sub>10</sub></oasis:entry>

         <oasis:entry colname="col3">Particles with a diameter of 10 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> or less</oasis:entry>

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

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">PM<sub>2.5</sub></oasis:entry>

         <oasis:entry colname="col3">Particles with a diameter of 2.5 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> or less</oasis:entry>

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

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

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

      <p id="d2e752">Finally, for direct comparison, we obtain ground-based AOD measurements from AERONET sites in South Korea. A total of nine stations are selected, where data are available during the study period. AERONET provides highly accurate AOD measurements using Cimel Electronique sun–sky radiometers, with an uncertainty of approximately 0.01–0.02 <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx17" id="paren.30"/>. For this study, we use version 3 level 2.0 quality-assured AOD at 440 nm. For the comparison, GEMS AOD data within a 5 km radius of the AERONET sites are considered, and sub-hourly AERONET data are averaged within a temporal window of <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> min around the GEMS observation time.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
      <p id="d2e776">For the AOD–PM simulations, we employ an RF algorithm with 100 trees and train this algorithm using AOD and meteorological data as input features and ground PM measurements as the target variable at each station. RF operates by constructing multiple decision trees during training and aggregating their predictions to enhance accuracy and avoid overfitting. It is widely recognized for its ability to efficiently handle non-linear relationships in data and is often used for estimating PM concentrations <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx19" id="paren.31"><named-content content-type="pre">e.g.</named-content></xref>. We also use XGBoost, which is similarly based on decision trees. However, XGBoost builds trees sequentially, allowing each tree to learn from the errors of the previous one, and is generally considered to outperform RF <xref ref-type="bibr" rid="bib1.bibx3" id="paren.32"/>. To ensure computational efficiency, we optimize the hyperparameters of both models by testing the models on a randomly selected subset of 50 stations, representing 10 % of the total stations.</p>
      <p id="d2e787">The main analysis is based on model predictions obtained through five-fold cross-validation. Specifically, we randomly split all data into five subgroups and use four of them (80 %) as training data and the remainder (20 %) as validation data. This process is repeated five times such that every data subset is used as validation data at least once. Consequently, while this approach provides robust estimates of model performance, the actual performance of a model trained on the entire dataset could be underestimated due to the reduced size of the training data during cross-validation.</p>
      <p id="d2e790">RF and XGBoost can be relatively easy to implement compared to process-based models, which often require sophisticated parameter calibrations. Moreover, they offer high flexibility by accommodating diverse data types and variables. This makes machine learning a useful tool for assessing the usefulness of new data, such as GEMS AOD. However, the primary disadvantage of machine learning is its “black-box” nature, meaning we cannot fully understand why it produces certain estimations. To address this limitation and examine the role of the input features, we further use SHapley Additive exPlanations (SHAP) and quantify the relative importance of the considered input features for the model's estimations. SHAP is an explainable machine learning method based on Shapley values, which measure the marginal contribution of each predictor to the model's output or estimation by evaluating how the model output changes when a feature is included or excluded across all possible feature combinations <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx40" id="paren.33"/>.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results and discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Evaluation of GEMS AOD retrievals</title>
      <p id="d2e811">First, we directly compare the GEMS AOD data with ground-based AOD measurements from AERONET <xref ref-type="bibr" rid="bib1.bibx17" id="paren.34"/>. As shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a, the temporal variations in AODs at each station exhibit overall good correlations, with Pearson’s <inline-formula><mml:math id="M23" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> ranging from 0.68 to 0.89. When the entire time series from all AERONET sites is compared, the correlation remains strong (<inline-formula><mml:math id="M24" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M25" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.77), although GEMS tends to underestimate AOD compared to the ground-based measurements, as indicated by the linear regression slope (slp <inline-formula><mml:math id="M26" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.66) in Fig. <xref ref-type="fig" rid="Ch1.F1"/>b. Furthermore, Fig. <xref ref-type="fig" rid="Ch1.F1"/>c demonstrates that this underestimation is consistent across most AERONET AOD ranges, although overestimation can also occur at low AOD values. A study on the early version of the GEMS L2 algorithm prior to the launch of GEMS also reported high correlation but slight underestimation of GEMS AOD relative to AERONET <xref ref-type="bibr" rid="bib1.bibx32" id="paren.35"/>. Recent studies using GEMS L2 data in Asian regions have reported similar findings <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx29" id="paren.36"><named-content content-type="pre">e.g.</named-content></xref>.</p>

      <fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e862">Comparison between GEMS AOD and AERONET AOD observations. <bold>(a)</bold> Correlations between GEMS AOD (443 nm) and AERONET AOD (440 nm) at individual AERONET stations. <bold>(b)</bold> Density scatter plot between GEMS and AERONET AOD across all stations. The vertical and horizontal lines represent the corresponding median values. The thick solid line is the regression line, and the dotted diagonal line is the one-to-one line. <bold>(c)</bold> Average relative errors, defined as the difference between GEMS AOD and AERONET AOD divided by AERONET AOD, are shown for different AERONET AOD ranges. These ranges are divided based on each 20th percentile of AERONET AOD. Shaded areas indicate the interquartile range of the errors within each range. The map is created using the Matplotlib basemap v1.2.2 toolkit.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025-f01.png"/>

        </fig>

      <fig id="Ch1.F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e882">Measured and model-estimated PM concentrations over South Korea during January 2022–December 2023. The grey area in the small map shows the GEMS coverage (5° S–45° N, 75–145° E), with South Korea marked by a black box. Panels <bold>(a)</bold> and <bold>(b)</bold> present the average measured and estimated PM<sub>10</sub> concentrations, respectively, and <bold>(c)</bold> shows their correlation. Insets in <bold>(a)</bold> and <bold>(b)</bold> display the probability density function (PDF), and <bold>(c)</bold> shows the correlation distribution via a boxplot, where the vertical centre line is the median, and whiskers represent the 0.1 to 0.9 quantiles. Only data pairs with both PM and GEMS AOD values are included. Panels <bold>(d)</bold>, <bold>(e)</bold>, and <bold>(f)</bold> correspond to <bold>(a)</bold>, <bold>(b)</bold>, and <bold>(c)</bold>, respectively, but for PM<sub>2.5</sub>.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025-f02.png"/>

        </fig>

      <p id="d2e948">AOD retrievals from satellite observations can be influenced by several factors, including surface reflectance estimation and aerosol model assumptions. For instance, distinguishing surface reflectance and aerosol scattering or absorption effects can be challenging under low-aerosol-loading conditions <xref ref-type="bibr" rid="bib1.bibx53" id="paren.37"/>. Issues such as cloud contamination or heterogeneous surface conditions can also introduce uncertainties in satellite-derived AOD <xref ref-type="bibr" rid="bib1.bibx24" id="paren.38"/>. <xref ref-type="bibr" rid="bib1.bibx4" id="text.39"/> specifically  compared GEMS and AERONET AOD measurements for the period from 2021 to 2022 in Asia and pointed out that the absence of region-specific aerosol type information in the GEMS aerosol model, along with inaccuracies in cloud-masking processes, may adversely impact the accuracy of GEMS AOD data. Overall, the performance of GEMS AOD is comparable to ground-based measurements, confirming its potential for applications such as estimating surface aerosol properties and supporting air quality studies.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Performance of PM estimation derived using GEMS AOD and machine learning models</title>
      <p id="d2e968">Figure <xref ref-type="fig" rid="Ch1.F2"/>a shows the average PM<sub>10</sub> concentrations at the ground stations during the study period, calculated only when GEMS AOD observation data are available (i.e. collocated PM and AOD data pairs). The average of measured PM<sub>10</sub> across the stations is 40.96 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, ranging from 24.91 to 65.12 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, which is higher than actual PM<sub>10</sub> averages during the same period when nighttime data are also included (Fig. S2). Overall, relatively high PM<sub>10</sub> concentrations are observed in western regions, which are related to strong inflow from the continent due to the prevailing mid-latitude westerlies in South Korea <xref ref-type="bibr" rid="bib1.bibx37" id="paren.40"/>.</p>
      <p id="d2e1053">Next, we estimate ground-level PM<sub>10</sub> concentrations using RF models, which are trained individually at each station using AOD values and meteorological variables as input features (see Sect. 3). RF can effectively handle non-linear relationships between input features and target variables, making it a useful tool for air quality modelling applications. We also confirm that RF outperforms empirical linear models in estimating PM<sub>10</sub> (Fig. S3); all model performances are evaluated through the five-fold cross-validation. Although XGBoost demonstrates comparable performance to RF, the main analysis focuses on RF results, as the differences between the two models are minimal, further supporting the robustness of the machine-learning-based modelling approach. Overall, the RF models demonstrate satisfactory performance in estimating PM<sub>10</sub> concentrations. The spatial distribution of PM<sub>10</sub> concentrations observed in the measurements is effectively described by the model estimates (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b), with an average estimated PM<sub>10</sub> value of 41.28 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, ranging from 24.88 to 65.52 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, which closely matches the average measured value. Pearson's correlation coefficient between the measured and estimated PM<sub>10</sub> is 0.66, on average, across all the stations (Fig. <xref ref-type="fig" rid="Ch1.F2"/>c). The model performance is stable across the stations, as indicated by the correlation values between 0.59 and 0.73 (10th and 90th percentiles, respectively) at most stations. Similarly, RF models effectively estimate PM<sub>2.5</sub> concentrations (Fig. <xref ref-type="fig" rid="Ch1.F2"/>d to f), achieving an average correlation value of 0.70, with correlation values ranging from 0.64 to 0.74 (10th to 90th percentiles).</p>
      <p id="d2e1167">Figure <xref ref-type="fig" rid="Ch1.F3"/> compares all data combined from all stations and their estimation errors for PM<sub>10</sub> (upper panels) and for PM<sub>2.5</sub> (lower panels). GEMS AOD and PM measurements shows weak correlations, with <inline-formula><mml:math id="M50" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> values of 0.20 for PM<sub>10</sub> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a) and 0.33 for PM<sub>2.5</sub> (Fig. <xref ref-type="fig" rid="Ch1.F3"/>d), indicating that the relationship between columnar AOD and ground-level PM is not straightforward. In contrast, the estimated PM<sub>10</sub> values, derived using both AOD and meteorological variables, show a closer agreement with ground measurements, as evidenced by a higher <inline-formula><mml:math id="M54" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> value of 0.67 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b). However, the regression slope deviates from the one-to-one line, revealing certain biases in the PM<sub>10</sub> estimations. Note that the axes are transformed to logarithmic scales for better visualization. For PM<sub>2.5</sub>, the regression line exhibits a similar level of deviation (Fig. <xref ref-type="fig" rid="Ch1.F3"/>e), although the RF models perform slightly better in terms of correlation with ground measurements, achieving a higher <inline-formula><mml:math id="M57" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> value of 0.72.</p>

      <fig id="Ch1.F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1269">Performance of RF models in estimating ground-level PM concentrations. <bold>(a)</bold> Density scatter plot between measured PM<sub>10</sub> and GEMS AOD across all stations. <bold>(b)</bold> Density scatter plot between measured PM<sub>10</sub> and model-estimated PM<sub>10</sub>. The vertical and horizontal lines represent the corresponding median values. The thick solid line is the regression line, and the dotted diagonal line is the one-to-one line. Both axes are displayed in log scale for better visualization. <bold>(c)</bold> Average relative errors, defined as the difference between estimated and measured PM divided by the measured values, are shown at predefined ranges using each decile of measured PM<sub>10</sub>. Shaded areas indicate the 25th–75th percentiles within each range. The <inline-formula><mml:math id="M62" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis is in log scale. Panels <bold>(d)</bold>, <bold>(e)</bold>, and <bold>(f)</bold> correspond to <bold>(a)</bold>, <bold>(b)</bold>, and <bold>(c)</bold>, respectively, but for PM<sub>2.5</sub>.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025-f03.png"/>

        </fig>

      <p id="d2e1359">To investigate these biases further, relative error is defined as the difference between the estimated and measured PM divided by the measured values. The relative error is computed across predefined ranges based on deciles of the measured PM (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c and f). For PM<sub>10</sub>, the relative error transitions from positive (overestimation) to negative (underestimation) at approximately 50 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>, which corresponds to the point where the regression line crosses from above to below the one-to-one line (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b). Despite these biases, most estimated PM values have relative errors close to zero. For instance, the median relative errors in the ranges between the 40th and 90th percentiles are within <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> for PM<sub>10</sub>. A similar pattern is observed for PM<sub>2.5</sub>, with consistent trends in relative error distributions across the analysed ranges. Consequently, larger biases occur at the minimum and maximum extremes of the measured PM ranges for both PM<sub>10</sub> and PM<sub>2.5</sub>. This behaviour can likely be attributed to the underrepresentation of extreme values in the dataset, as these occur less frequently. Furthermore, machine learning models prioritize overall accuracy, often leading to larger biases in those extremes. Measurement errors in extreme PM values may also contribute to the observed biases, as uncertainties tend to be greater in these ranges.</p>
      <p id="d2e1442">Furthermore, we use SHAP to quantify the relative importance of the considered input features for the model's estimations. As SHAP is computed for individual observations, we take the mean of absolute SHAP values for each input variable across all predictions to explain its global feature contributions (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). For both PM<sub>10</sub> and PM<sub>2.5</sub> estimations, AOD has a great influence on model performance, demonstrating the effectiveness of satellite information for ground aerosol simulations. The direct relationships between PM and meteorological variables are not easily characterized (see Fig. S4), but SHAP analysis indicates that temperature (TEMP) is the most meteorologically influential predictor for both PM<sub>10</sub> and PM<sub>2.5</sub> estimations. Similar results are observed for XGBoost (Fig. S5). For instance, temperature can promote PM particle production by enhancing the photochemical reactions in the atmosphere <xref ref-type="bibr" rid="bib1.bibx20" id="paren.41"/>. It can also act as an indicator of seasonal variations in PM concentrations; for instance, an increase in emissions from combustion processes during the winter time can result in high aerosol loading, while aerosols can easily be removed by wet deposition during a rainy season in summer <xref ref-type="bibr" rid="bib1.bibx34" id="paren.42"/>.</p>

      <fig id="Ch1.F4"><label>Figure 4</label><caption><p id="d2e1492">Input importance of RF models. SHAP values are computed to examine the contribution of each input feature to individual predictions for <bold>(a)</bold> PM<sub>10</sub> and <bold>(b)</bold> PM<sub>2.5</sub>. In this box plot, the relative importance of the input variables is shown by ranking the averaged absolute SHAP values. The box represents the interquartile range, the vertical centre line is the median, and the whiskers represent the 0.1 to 0.9 quantiles, with outliers shown as individual dots.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025-f04.png"/>

        </fig>

      <p id="d2e1525">Among other meteorological variables, relative humidity (RH) emerges as one of the most important predictors, particularly for PM<sub>10</sub> estimations. RH influences wet deposition of PM and also characterizes seasonal variations in PM concentrations. For instance, in South Korea, PM<sub>10</sub> tends to increase due to wildfire emission during dry seasons or due to relatively coarse particles being transported by Asian dust in the dry spring season. On the other hand, boundary layer height (BLH) has greater importance for PM<sub>2.5</sub> estimations. Given that aerosols are primarily confined to the planetary boundary layer, BLH is a good proxy for estimating the height of the aerosol layer <xref ref-type="bibr" rid="bib1.bibx39" id="paren.43"/> and can help relate columnar satellite data to surface aerosol values <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx20" id="paren.44"/>. The stronger importance of BLH for PM<sub>2.5</sub> estimation suggests its effectiveness in capturing the vertical distribution of finer aerosols. Previous studies have suggested a strong relationship between BLH and PM<sub>2.5</sub> due to well-recognized positive feedback effects in their formation <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx60" id="paren.45"><named-content content-type="pre">e.g.</named-content></xref>, which further underscores the importance of BLH. The relationship between AOD and PM is highly sensitive to variations in BLH conditions, as noted in previous studies <xref ref-type="bibr" rid="bib1.bibx67" id="paren.46"/>. For instance, higher BLH facilitates greater vertical dispersion of aerosols, thereby reducing surface PM concentrations for a given AOD. While our machine learning approach inherently captures such complex interactions, future work could explore the explicit sensitivity of BLH with the AOD–PM relationship to improve physical interpretability.</p>
      <p id="d2e1589">We further compare the temporal evolution of hourly PM<sub>10</sub> measurements and estimates in each month. The measured PM<sub>10</sub> in Fig. <xref ref-type="fig" rid="Ch1.F5"/>a displays clear seasonal patterns, with high concentrations recorded during the winter and spring months and low concentrations in autumn. While PM<sub>10</sub> values in South Korea often show strong diurnal or semidiurnal cycles <xref ref-type="bibr" rid="bib1.bibx34" id="paren.47"/>, these diurnal variations are not clearly shown in these PM<sub>10</sub> composites from multiple stations, which contain many gaps due to the missing values in the satellite data. Nonetheless, relatively higher concentrations are observed before noon, following the morning rush hour. This may be related to stable atmospheric conditions caused by  relatively low temperature during this time of the day, which suppress convective circulation. The high concentrations during the cold season (winter to early spring) can be attributed to increased fossil fuel combustion for heating combined with the stagnant weather conditions during this season <xref ref-type="bibr" rid="bib1.bibx61" id="paren.48"/>. Particularly in March, the highest PM<sub>10</sub> is associated with the long-range transport of Asian dust originating in the deserts of Mongolia and China <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx39 bib1.bibx31" id="paren.49"/>. These seasonal variations are also well captured in the estimated PM<sub>10</sub> concentrations (Fig. <xref ref-type="fig" rid="Ch1.F5"/>b), and the overall pattern is in good agreement with that of the ground measurements. The spatial correlation between the measured and estimated PM<sub>10</sub> concentrations (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a and b, respectively) is 0.96. Yet, we observe substantial differences in the magnitude, as shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>c, with underestimation of high values during winter and spring and overestimation of low values in autumn. These patterns align with the bias observed in the data comparison shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>. We also observe similar seasonal biases for PM<sub>2.5</sub> (Fig. <xref ref-type="fig" rid="Ch1.F5"/>f) but with smaller magnitudes.</p>

      <fig id="Ch1.F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1689">Time–month diagram of PM measurements and estimates. The mean hourly <bold>(a)</bold> measured and <bold>(b)</bold> estimated PM<sub>10</sub> concentrations for each month averaged across all the stations. Panel <bold>(c)</bold> represents differences between the PM<sub>10</sub> measurements and estimates. Panels <bold>(d)</bold>, <bold>(e)</bold>, and <bold>(f)</bold> correspond to <bold>(a)</bold>, <bold>(b)</bold>, and <bold>(c)</bold>, respectively, but for PM<sub>2.5</sub>.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Enhancing PM estimation and applications at ungauged locations</title>
      <p id="d2e1762">In this section, we conduct two additional experiments. First, we incorporate supplementary air quality data to evaluate the potential for improving model performance using this additional information. Second, we assess the model's ability to estimate PM concentrations at locations without ground-based measurements by utilizing input data from neighbouring stations. This allows us to examine the effectiveness of satellite-derived AOD and reanalysis meteorological data in scenarios where target data are unavailable.</p>
      <p id="d2e1765">Figure <xref ref-type="fig" rid="Ch1.F6"/> presents the results of the main analysis repeated with additional measured data from AirKorea stations, including ozone (O<sub>3</sub>), CO, SO<sub>2</sub>, and NO<sub>2</sub>. The inclusion of chemical pollutant data leads to overall improvements in model performance for both PM<sub>10</sub> and PM<sub>2.5</sub>. Compared to the main analysis using only AOD and meteorological data (Fig. <xref ref-type="fig" rid="Ch1.F3"/>), the correlations between measured and estimated PM concentrations improve from 0.67 to 0.74 for PM<sub>10</sub> and 0.72 to 0.85 for PM<sub>2.5</sub>. Furthermore, the relative error magnitude decreases across all ranges of measured PM concentrations. This overall improvement is anticipated, as chemical pollutants are known to influence PM concentrations by acting as precursors to secondary aerosols <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx30" id="paren.50"/>. SHAP analysis highlights the significance of pollutant data, particularly CO and NO<sub>2</sub> (see Fig. S6), while the importance of GEMS AOD remains prominent. Although CO is not directly related to PM formation, it is positively correlated with PM concentrations, serving as an indicator of combustion sources and influencing atmospheric chemistry through photochemical reactions <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx46 bib1.bibx11" id="paren.51"/>. Meanwhile, NO<sub>2</sub> contributes to the formation of nitrate aerosols, and <xref ref-type="bibr" rid="bib1.bibx38" id="text.52"/> show that high PM<sub>2.5</sub> concentrations in Seoul are strongly associated with elevated nitrate levels. While the use of globally available reanalysis meteorological data enhances the estimation of PM concentrations using GEMS AOD, these results demonstrate that incorporating additional locally available data can further improve model performance.</p>

      <fig id="Ch1.F6"><label>Figure 6</label><caption><p id="d2e1875">Performance improvement of RF models with the inclusion of pollutant data. This figure is similar to Fig. <xref ref-type="fig" rid="Ch1.F3"/> but shows results for models trained with additional locally available data (O<sub>3</sub>, CO, SO<sub>2</sub>, NO<sub>2</sub>) from AirKorea stations. <bold>(a)</bold> Density scatter plot between measured PM<sub>10</sub> and model-estimated PM<sub>10</sub>. <bold>(b)</bold> Relative errors are shown at each 10th percentile of measured PM<sub>10</sub>. Panels <bold>(c)</bold> and <bold>(d)</bold> correspond to <bold>(a)</bold> and <bold>(b)</bold>, respectively, but for PM<sub>2.5</sub>.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025-f06.png"/>

        </fig>

      <p id="d2e1970">Finally, we examine the potential of satellite-derived AOD and machine learning models for estimating PM concentrations at ungauged locations. While South Korea has a relatively dense air quality monitoring network, these stations are primarily concentrated in urban areas. Additionally, many countries in Asia lack sufficient ground stations for comprehensive aerosol mapping. To simulate ungauged conditions, we retrain the RF model at each station by utilizing data from its <inline-formula><mml:math id="M111" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> neighbouring stations, excluding any data from the target station itself. The model is then validated at the target station using a five-fold cross-validation approach, consistent with the main analysis.</p>
      <p id="d2e1980">Figure <xref ref-type="fig" rid="Ch1.F7"/> illustrates the PM estimation performance at ungauged locations, comparing correlation coefficients (Fig. <xref ref-type="fig" rid="Ch1.F7"/>a) and the mean relative error (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b). The “gauged” case represents the model trained and tested using only the target station’s data (i.e. the main results presented in the previous section). As expected, when the model is trained with data from a single neighbouring station (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), performance is lower than that of the gauged model due to limited regional representativeness. However, the models show higher correlation coefficients and decreased biases as more neighbouring station data are included. This finding aligns with the understanding that machine learning models can effectively leverage spatial and temporal variability to enhance robustness and generalizability <xref ref-type="bibr" rid="bib1.bibx49" id="paren.53"/>. When data from at least four neighbouring stations are utilized, the model achieves PM estimation performance at ungauged locations comparable to that at gauged sites. However, it is important to note that in this study, neighbouring stations are selected based solely on proximity without considering the similarity of conditions between stations. Future research should investigate how inter-station similarity impacts model performance, which may further optimize regionalization approaches for aerosol and air quality modelling. In addition, incorporating more neighbouring stations provides a larger amount of training data, meaning that the observed model improvement is driven not only by increased data diversity but also by the larger data size.</p><fig id="Ch1.F7"><label>Figure 7</label><caption><p id="d2e2006">Potential of satellite data in PM estimation at ungauged locations. <bold>(a)</bold> Correlation and <bold>(b)</bold> mean relative error between the measured and estimated PM<sub>10</sub> concentrations at each station. The RF models are trained using data from the <inline-formula><mml:math id="M114" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> closest neighbouring sites, excluding the target station, where model performance is evaluated. The term gauged indicates that the model is trained and tested at the same station (as shown in the main analysis in Fig. <xref ref-type="fig" rid="Ch1.F2"/>).</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/18/1471/2025/amt-18-1471-2025-f07.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e2049">Applying satellite-derived AOD observational data to estimate ground-level PM offers an excellent opportunity for air quality monitoring, including at ungauged sites <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx14 bib1.bibx62" id="paren.54"/>. This is particularly important for Asian regions, where a significant proportion of the population is exposed to air pollution levels exceeding WHO guideline values <xref ref-type="bibr" rid="bib1.bibx8" id="paren.55"/>. As the world's first geostationary Earth orbit environmental instrument, GEMS is expected to provide more detailed air quality information over Asia with higher spatial and temporal resolutions than existing low-Earth-orbit platforms. GEMS will also join a constellation of geostationary air quality satellites, together with TEMPO over North America and Sentinel-4 over Europe, to collectively provide near-global coverage <xref ref-type="bibr" rid="bib1.bibx32" id="paren.56"/>. In line with ongoing efforts to confirm the reliability of the new satellite data products, in this study, we evaluate the effectiveness of GEMS AOD data by modelling AOD–PM relationships at around 500 stations in South Korea using machine learning models.</p>
      <p id="d2e2061">In this study, we aim to assess the potential of GEMS AOD data for sub-daily PM estimation using practical machine learning (ML) models, without prioritizing the achievement of optimal model performance. While more advanced ML techniques or alternative modelling approaches (e.g. chemical transport models) could enhance performance, they are beyond the scope of this work. Furthermore, to our knowledge, this is the first evaluation of GEMS AOD applications, providing baseline results for future model comparisons and development. This approach also applies to input selection. While we consider a relatively wide range of input variables, including both meteorological and chemical data, additional variables can be tested, and model performance can be compared. In this context, ML models are particularly advantageous, as they can incorporate a broad spectrum of variables, including those typically not used in process-based models. However, ML performance is highly dependent on the quality of the training data; therefore, careful attention to data quality is essential. Here we use reanalysis data as input features in addition to  satellite data to ensure the general applicability of ML models over diverse locations. Since reanalysis data are gridded, there is a spatial mismatch between the grid pixel and the actual ground target points (i.e. the AirKorea stations). Although this distance is within a few kilometres after applying the interpolation method to the reanalysis data, and no significant performance degradation due to this discrepancy is observed (Fig. S7), employing higher-resolution data or improved interpolation techniques for data processing could also be considered in the future.</p>
      <p id="d2e2064">Our results demonstrate that GEMS AOD, combined with meteorological variables such as temperature and boundary layer height, enables the model-estimated PM concentrations to achieve strong temporal and spatial correlations with ground measurements. However, biases between the estimated and measured PM concentrations are evident, particularly at extreme ranges, which may be attributed to limitations in both the models and the data. This limitation should be carefully addressed in future satellite retrieval algorithms and data applications. We also show that the model's performance could be improved by acquiring additional training data. The AirKorea stations provide not only PM measurements but also data on air-quality-related pollutants. Utilizing these additional measurements reduces ML estimation errors over most stations. Beyond the pollutant measurements in target locations, other PM-related data, such as information on pollution sources (e.g. emission levels or ambient air conditions at emission sites), could also enhance model performance. Future studies should assess the feasibility and contribution of acquiring such additional data on a region-specific basis. Machine learning is also known to regionalize effectively using training data obtained from regions with environmental conditions similar to those of the target region. Our study demonstrates that PM estimations at ungauged sites are possible by leveraging training data from nearby stations. In these cases, ungauged sites refer to regions lacking ground observations. Since satellite-based inputs like AOD are available even in ungauged areas, future efforts can further enhance prediction accuracy in these regions without requiring ground-based PM measurements.</p>
      <p id="d2e2067">Ultimately, our study demonstrates the applicability of the current version of GEMS AOD data for estimating ground-level PM and provides valuable baseline information for ongoing improvements in data and modelling techniques. This research highlights the significant potential of GEMS AOD data to enhance air quality monitoring across Asia, particularly in regions where conventional ground-based measurements are unavailable or limited. By establishing a foundation for future studies and offering insights into model improvement strategies, our work underscores the importance of employing geostationary satellite data in air quality assessments.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e2074">Code supporting this paper is published online at <uri>https://github.com/osungmin/gems_aod</uri> <xref ref-type="bibr" rid="bib1.bibx57" id="paren.57"/>.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e2086">GEMS AOD data can be requested from the Environmental Satellite Center website (<uri>https://nesc.nier.go.kr/en/html/index.do</uri>, <xref ref-type="bibr" rid="bib1.bibx13" id="altparen.58"/>). PM measurement data are publicly available from the AirKorea website (<uri>https://www.airkorea.or.kr/eng/</uri>, <xref ref-type="bibr" rid="bib1.bibx48" id="altparen.59"/>). The ERA5 (<ext-link xlink:href="https://doi.org/10.24381/cds.adbb2d47" ext-link-type="DOI">10.24381/cds.adbb2d47</ext-link>, <xref ref-type="bibr" rid="bib1.bibx9" id="altparen.60"/>) and ERA5-Land data (<ext-link xlink:href="https://doi.org/10.24381/cds.e2161bac" ext-link-type="DOI">10.24381/cds.e2161bac</ext-link>, <xref ref-type="bibr" rid="bib1.bibx10" id="altparen.61"/>) are freely available from the Climate Data Store of the Copernicus Climate Change Service.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e2114">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-18-1471-2025-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-18-1471-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2123">SO designed the study, performed the experiments, and drafted the paper. JWY and SKP discussed the results and contributed to the writing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2129">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="d2e2135">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="d2e2141">This research is supported by the Specialized University Program for Confluence Analysis of Weather and Climate Data of the Korea Meteorological Institute (KMI) funded by the Korean government (KMA), with participation from the Kangwon National University and Ewha Womans University. Seon K. Park acknowledges the National Research Foundation (NRF) of Korea grant, funded by the Korean government (MSIT) (2021R1A2C1095535), and the Basic Science Research Program through the NRF, funded by the Ministry of Education (2018R1A6A1A08025520). The authors thank the principal investigators of each AERONET site for their efforts in establishing and maintaining the AERONET sites (<uri>https://aeronet.gsfc.nasa.gov/</uri>, last access: 30 January 2025), the data of which are used in the study.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2149">This research has been supported by the National Research Foundation of Korea (grant nos. 2021R1A2C1095535, 2018R1A6A1A08025520, and RS-2023-00248706).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2155">This paper was edited by Omar Torres and reviewed by two anonymous referees.</p>
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