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  <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-19-6535-2026</article-id><title-group><article-title>Comprehensive validation of MODIS atmospheric temperature profile data across mainland China using sounding observations</article-title><alt-title>Validation of MODIS temperature profiles over China</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zhang</surname><given-names>Wenjie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4463-6014</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Qu</surname><given-names>Mengxi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Sun</surname><given-names>Ranhao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhao</surname><given-names>Jiarui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ning</surname><given-names>Guicai</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0016-4382</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Inamov</surname><given-names>Aziz</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Mamatkulov</surname><given-names>Zokhid</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Zhou</surname><given-names>Di</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Pulatov</surname><given-names>Bakhtiyor</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff3">
          <name><surname>Yang</surname><given-names>Yuanjian</given-names></name>
          <email>yyj1985@nuist.edu.cn</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>State Key Laboratory of Climate System Prediction and Risk Management, Nanjing University of Information Science and Technology, Nanjing 210044, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>State Key Laboratory of Regional and Urban Ecology, Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Beijing 100085, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Atmospheric Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent 100043, Uzbekistan</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an 710071, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Central Asian University of Environmental and Climate Change Studies (Green University), Tashkent, Uzbekistan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Yuanjian Yang (yyj1985@nuist.edu.cn)</corresp></author-notes><pub-date><day>19</day><month>October</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>20</issue>
      <fpage>6535</fpage><lpage>6552</lpage>
      <history>
        <date date-type="received"><day>21</day><month>April</month><year>2026</year></date>
           <date date-type="rev-request"><day>5</day><month>May</month><year>2026</year></date>
           <date date-type="rev-recd"><day>4</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>21</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Wenjie Zhang et al.</copyright-statement>
        <copyright-year>2026</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/19/6535/2026/amt-19-6535-2026.html">This article is available from https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e201">The vertical profile of atmospheric temperature is crucial for understanding energy transfer within the climate system. The Moderate Resolution Imaging Spectroradiometer (MODIS) atmospheric profile product (MOD07_L2) provides vertical temperature profiles at 5 km spatial resolution. However, comprehensive validation of its absolute accuracy – particularly for lower tropospheric stability (LTS) and temperature inversion layer (TIL) detection – remains limited. Therefore, this study systematically evaluated sounding observations collected at 74 stations across mainland China from 2003 to 2020, covering both daytime and nighttime periods. Results indicated that MOD07_L2 temperature-profile retrievals were generally more accurate at nighttime than during daytime and performed better in the upper layers (400–620 hPa) than in lower layers (850–1000 hPa). In particular, pronounced negative biases were observed at 850 and 920 hPa, especially during daytime. In contrast, MODIS-derived LTS was more accurate during daytime (<inline-formula><mml:math id="M1" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.74, <inline-formula><mml:math id="M3" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M4" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M5" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.33 K, RMSE <inline-formula><mml:math id="M6" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.52 K) than at nighttime (<inline-formula><mml:math id="M7" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M8" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.57, <inline-formula><mml:math id="M9" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M10" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M11" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.59 K, RMSE <inline-formula><mml:math id="M12" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.78 K). For TIL, MOD07_L2 displayed limited detection capability, achieving an overall detection rate of 6.6 % during daytime and 13.1 % at nighttime. This study provides essential data support for atmospheric science, hydrology, and ecology fields that rely on high-resolution vertical temperature profiles.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Key Research and Development Program of China</funding-source>
<award-id>2023YFE0208100</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42201053</award-id>
<award-id>42222503</award-id>
</award-group>
<award-group id="gs3">
<funding-source>State Key Laboratory of Urban and Regional Ecology</funding-source>
<award-id>SKLURE2023-2-4</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="d2e299">The vertical distribution of atmospheric temperature constitutes a fundamental component of Earth's climate system, profoundly influencing weather patterns, atmospheric circulation, and surface environmental processes. In recent years, intensified global climate change has induced substantial alterations in this distribution. Notably, the pronounced tropospheric warming juxtaposed against stratospheric cooling highlights the intricate energy exchanges and dynamic interactions among atmospheric layers (Dessler and Davis, 2010; Seidel et al., 2016). These anomalous variations in temperature profiles have consequently reconfigured global circulation patterns and heightened the frequency of extreme weather events (Seeley and Wordsworth, 2021; Galfi and Lucarini, 2021).</p>
      <p id="d2e302">In recent years, rapid advancements in remote sensing technology and numerical simulations have greatly advanced the observation and analysis of vertical temperature distributions from the surface to the stratosphere (Santer et al., 2018; Thorne et al., 2011). Although vertical temperature data are now available from diverse sources, notable disparities remain among datasets in terms of spatial and temporal resolution, parameter coverage, and applicability. Reanalysis datasets, such as the National Centers for Environmental Prediction (NCEP), European Centre for Medium-Range Weather Forecasts Reanalysis 5 (ERA5), and Climatic Research Unit (CRU), offered global coverage and long-term consistency but fell short in meeting the demands of fields requiring high-resolution data (Hersbach et al., 2020; Gelaro et al., 2017; Saha et al., 2010). For instance, despite optimizations in NCEP's boundary layer parameterization, its coarse spatial resolution (2.5°) remained inadequate for resolving local-scale temperature details (Saha et al., 2010; Grimmond et al., 2010). Similarly, while the CRU dataset provided long-term records, its 0.5° resolution constrained its utility in local-scale studies (Harris et al., 2020). Furthermore, although ERA5 excelled in global climate trend analysis, its 0.25° resolution still imposed limitations on regional-scale investigations (Zhao et al., 2014). In contrast, the Moderate Resolution Imaging Spectroradiometer (MODIS) atmospheric profile product (MOD07_L2) emerged as an optimal choice for regional studies, owing to its high spatial resolution of 5 km (Schwarz et al., 2011; Chen et al., 2019). However, existing research has primarily focused on the retrieval accuracy of surface or near-surface temperatures. For example, Ouyang et al. (2015) evaluated the effects of atmospheric water vapor and land-surface emissivity on land surface temperature retrieval in the Heihe River Basin, while Zhu et al. (2017) used MOD07_L2-derived near-surface air temperature for regional daytime air-temperature estimation in the eastern Qaidam Basin. Systematic evaluations of vertical temperature profiles, particularly in the mid-to-upper atmosphere, remain limited (Zhang et al., 2021; Yuan et al., 2023). Additionally, some studies have employed MOD07_L2 vertical temperature profiles to examine atmospheric structures and thermal stratification, albeit relying on limited station data (Huang et al., 2020a; Barlow et al., 2015). To date, no nationwide assessment of these profiles has been undertaken across complex terrains and diverse climatic zones.</p>
      <p id="d2e305">Lower tropospheric stability (LTS) served as a pivotal factor influencing atmospheric vertical distributions and weather patterns, governing air vertical mixing and convective activity intensity. Variations in LTS exhibited strong correlations with atmospheric temperature profiles, particularly in modulating extreme weather events such as severe pollution episodes, air humidity fluctuations, and precipitation extremes (Ning et al., 2018; Guo et al., 2016, 2017). Additionally, Li et al. (2014) confirmed that in low-latitude oceanic regions, enhanced LTS is typically significantly associated with subsidence at 700 hPa and increased low-level cloud cover, indicating that LTS serves as a crucial link connecting large-scale dynamical processes with the vertical structure of clouds. As a high-resolution atmospheric vertical profile product, MOD07_L2 held substantial potential for national-scale LTS analysis, yet its efficacy in this domain remained unvalidated. In addition, temperature inversion layers (TIL) represented a key feature of atmospheric vertical temperature distributions, suppressing vertical air mixing and thereby altering local climate conditions (Barlow et al., 2015; Li et al., 2019). Recent research further revealed a close coupling between the inversion layer and the atmospheric boundary layer, jointly influencing the vertical distribution and capture efficiency of aerosols (Liu et al., 2022). The MOD07_L2 dataset furnished temperature data across 20 vertical pressure levels, laying a robust foundation for inversion layer detection and analysis (Coll et al., 2012; Leng et al., 2019). Existing validations have predominantly relied on radiosonde or lidar data, leaving the performance of MOD07_L2 in inversion detection unevaluated on a systematic basis.</p>
      <p id="d2e308">Therefore, this study makes several novel contributions to the field. First, it provides the first long-term (2003–2020) and nationwide validation of MOD07_L2 vertical temperature profiles across China's diverse climatic and topographic regions beyond previous site-specific assessments. Second, it represents the first systematic evaluation of the MOD07_L2 product's capability to retrieve LTS and detect TIL, thereby extending validation beyond single-level temperatures to derived parameters critical for boundary layer and climate studies. Third, the diagnostic analysis of retrieval errors – particularly the attribution of the pronounced negative biases at 850 and 920 hPa to surface and atmospheric conditions and the limited vertical sensitivity of infrared retrievals – provides actionable insights for both users of the MODIS archive and developers of future satellite missions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area</title>
      <p id="d2e326">This study covered the entirety of China, characterized by complex and diverse geographical and climatic conditions. China's topography ascended progressively from east to west, featuring low-lying plains and hills in the east and towering mountains and plateaus in the west – most notably the Tibetan Plateau, with an average elevation surpassing 4000 m. This configuration established a pronounced topographical gradient. China encompassed a broad spectrum of climate types, spanning tropical zones in the south to cold temperate regions in the north, complemented by alpine climates in the west, thereby engendering substantial climatic diversity. Eastern coastal areas are predominantly humid, whereas western regions are largely arid or semi-arid. These geographical and climatic characteristics amplified variations in surface temperature distributions and atmospheric boundary layer features across regions. To delineate these regional distinctions more precisely, this study adopted China's agricultural zoning framework (Fig. 1), comprising the Northeast China Plain (NEP), the Northern Arid and Semi-Arid Region (NAS), the Huang-Huai-Hai Plain (HHH), the Loess Plateau (LP), the Qinghai-Tibet Plateau (TP), the Middle-Lower Yangtze Plain (MYP), the Sichuan Basin and Surrounding Areas (SB), the Yunnan-Guizhou Plateau (YGP), and Southern China (SC). This zoning scheme is accessible via the following link: <uri>https://www.resdc.cn</uri> (last access: 7 October 2026).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e334">Annual mean surface pressure and distribution of sounding stations in China from 2003 to 2020. The nine agricultural zones (NEP, NAS, HHH, LP, TP, MYP, SB, YGP, and SC) are labeled in the figure.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Data</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Sounding data</title>
      <p id="d2e358">The radiosonde observations used in this study were provided by the China Meteorological Administration (<uri>http://data.cma.cn</uri>, last access: 7 October 2026). Hereafter, these observations are referred to as sounding data. This study used vertical temperature profiles from sounding data collected at 74 stations across mainland China between 2003 and 2020. These data were collected using meteorological balloons that measure atmospheric temperature, pressure, and other parameters at various altitudes, ranging from the surface to the upper atmosphere. Sounding observations were conducted daily at 00:00 and 12:00 UTC at more than 100 pressure levels, enabling detailed characterization of the vertical temperature distribution. The sounding observations used in this study were collected in accordance with the requirements of the WMO GCOS Upper-Air Network (GUAN) and underwent rigorous quality-control procedures. During the study period, the data completeness rate across all selected stations exceeded 90 %, providing a reliable foundation for statistical analysis.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>MOD07_L2 data</title>
      <p id="d2e373">This study utilizes the MOD07_L2 Collection 6.1 atmospheric profile product generated by NASA's Moderate Resolution Imaging Spectroradiometer (MODIS) sensor. This version incorporates significant improvements in retrieval algorithms and cloud detection (<uri>https://ladsweb.modaps.eosdis.nasa.gov</uri>, last access: 7 October 2026). This product provided vertical atmospheric temperature profiles at 20 pressure levels (5, 10, 20, 30, 50, 70, 100, 150, 200, 250, 300, 400, 500, 620, 700, 780, 850, 920, 950, and 1000 hPa) with a spatial resolution of 5 km. For this study, temperature data were selected at the 400, 500, 620, 700, 780, 850, 920, 950, and 1000 hPa levels, which can represent key features of the vertical temperature distribution relevant to LTS calculation and TIL detection.  For clear expression, the nine pressure levels were categorized into lower layers (850, 920, 950, and 1000 hPa), middle layers (700 and 780 hPa), and upper layers (400, 500, and 620 hPa). This classification aligned with standard isobaric surfaces in meteorological studies and reflected the characteristic atmospheric processes at varying altitudes. Additionally, surface pressure was obtained directly from the MOD07_L2 Surface_Pressure data set (hPa) at 5 km resolution and was used to calculate near-surface potential temperature for LTS. Fill values and records with invalid surface-pressure measurements were excluded. No external surface-pressure data were used, and no additional surface-pressure-specific correction was applied. Cloud screening followed the standard clear-sky screening implemented in the MOD07_L2 product.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Methodology</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Vertical interpolation of vertical temperature profiles</title>
      <p id="d2e395">To ensure comparability between the MOD07_L2 temperature retrievals and sounding observations, vertical interpolation was performed in this study. A linear interpolation method was employed to interpolate the sounding temperature data onto the corresponding pressure levels of MOD07_L2. If a pressure level <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in MOD07_L2 exactly matched a pressure level in the sounding data, the corresponding sounding temperature <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">sod</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was directly used without interpolation. For pressure levels in MOD07_L2 (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) that did not match any sounding pressure levels, the two adjacent pressure levels in the sounding data (<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the corresponding temperatures (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) were searched to satisfy the following relationship:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M20" display="block"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            Then, the vertical temperature lapse rate <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> was calculated as follows:

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M22" display="block"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M23" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> is the temperature lapse rate with respect to pressure (°C hPa<sup>−1</sup>). <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the two adjacent sounding pressure levels below and above <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively, and <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are their corresponding sounding temperatures (°C). This value indicated the amount of temperature change corresponding to a unit change in pressure between adjacent sounding layers. By applying the calculated lapse rate <inline-formula><mml:math id="M30" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>, the temperature at the MOD07_L2 pressure level (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was interpolated to obtain its equivalent sounding temperature value as below:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M32" display="block"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">upper</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">lower</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the equivalent sounding temperature (°C) interpolated to the MOD07_L2 pressure level <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. When <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fell outside the maximum or minimum pressure levels of the sounding data, the following approach was used to handle boundary cases: If the pressure value corresponding to the MOD07_L2 pressure level (<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was greater than the maximum pressure value (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> corresponding to the lowest altitude) in the sounding data, interpolation was performed using the two sounding pressure levels with the highest pressure values, <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi mathvariant="normal">max</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Similarly, if the pressure value of MOD07_L2 (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">modis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was less than the minimum pressure value (<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> corresponding to the highest altitude) in the sounding data, <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi mathvariant="normal">min</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> were used.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Accuracy evaluation metrics</title>
      <p id="d2e851">The retrieval accuracy of MOD07_L2 was evaluated using the Pearson correlation coefficient (<inline-formula><mml:math id="M44" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>), bias (<inline-formula><mml:math id="M45" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>), and root mean square error (RMSE), which were calculated as follows:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M46" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>S</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow><mml:msqrt><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>S</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the MOD07_L2 retrieval and the corresponding sounding observation, respectively. <inline-formula><mml:math id="M49" display="inline"><mml:mover accent="true"><mml:mi>M</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M50" display="inline"><mml:mover accent="true"><mml:mi>S</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> are their mean values, and n is the number of matched samples. Bias (<inline-formula><mml:math id="M51" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>) was calculated as the mean difference between the MOD07_L2 retrievals and sounding observations. The correlation coefficient is dimensionless, whereas <inline-formula><mml:math id="M52" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> and RMSE are expressed in °C. A negative <inline-formula><mml:math id="M53" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> indicates an underestimation by MOD07_L2, while a positive <inline-formula><mml:math id="M54" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> indicates an overestimation. The same metrics were also applied to the evaluation of MOD07_L2-derived LTS by replacing temperature with the corresponding LTS values. For LTS, <inline-formula><mml:math id="M55" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> and RMSE are expressed in K.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Sensitivity analysis of temporal matching window</title>
      <p id="d2e1172">Sounding data are typically observed at 00:00 and 12:00 Beijing Time. However, due to the sun-synchronous orbit of the Terra satellite carrying MODIS, the overpass times of MOD07_L2 data exhibit spatial variations within China, with earlier overpass times in the eastern regions compared to the western regions. To ensure the comparability between satellite retrievals and sounding observations, and to assess the impact of time deviations on retrieval accuracy, this study conducted a time-matching sensitivity experiment. The time deviation (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula>) was divided into four intervals: 0–0.5, 0.5–1, 1–1.5, and 1.5–2 h. Statistical metrics between MOD07_L2 temperature retrieval values and sounding data were calculated within each interval to determine the optimal matching window. Detailed sensitivity analysis results are presented in the Results section of this article.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS4">
  <label>2.3.4</label><title>Lower Tropospheric Stability Calculation</title>
      <p id="d2e1197">Lower tropospheric stability (LTS) was defined as the difference between the potential temperature at the 700 hPa level and that near the surface (Guo et al., 2016; Ning et al., 2018). To accurately obtain the near-surface temperature from MOD07_L2 data, a linear interpolation method was employed. Based on the two pressure levels closest to the surface and their corresponding temperature values, the temperature corresponding to the surface pressure was calculated. In the sounding data, the near-surface layer was defined as the lowest-altitude, highest-pressure valid level and its corresponding temperature in the raw data. Subsequently, the temperatures at the 700 hPa level and near the surface were converted to potential temperatures using the standard formula. The calculation formula for potential temperature (<inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>) is as follows:

              <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M58" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>=</mml:mo><mml:mi>T</mml:mi><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mi>p</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi>k</mml:mi></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">287.05</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1004</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.286</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            In this formula, <inline-formula><mml:math id="M59" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> denotes temperature (K), <inline-formula><mml:math id="M60" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> denotes pressure, <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the reference pressure, typically taken as 1000 hPa, <inline-formula><mml:math id="M62" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the gas constant for dry air, taken as 287.05 J kg<sup>−1</sup> K<sup>−1</sup>, and <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the specific heat at constant pressure for dry air, taken as 1004 J kg<sup>−1</sup> K<sup>−1</sup>. After obtaining the potential temperatures at the 700 hPa level and near the surface, LTS was calculated as their difference:

              <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M68" display="block"><mml:mrow><mml:mi mathvariant="normal">LTS</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mn mathvariant="normal">700</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">surface</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            LTS measures atmospheric stability, with higher values indicating greater stability. It is expressed in kelvins (K).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS5">
  <label>2.3.5</label><title>Temperature inversion layer detection</title>
      <p id="d2e1445">The identification of TIL was based on analyzing the vertical temperature differences between neighboring pressure levels. Under standard adiabatic conditions, temperature should decrease as pressure decreases. If adverse, temperature inversion was defined. To evaluate the detection accuracy of temperature inversions in the MOD07_L2 data, its results were compared against sounding observations. In this study, an inversion was regarded as co-detected when both the MOD07_L2 profile and its corresponding sounding profile contained at least one inversion. <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">both</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the number of matched profiles in which both MOD07_L2 and sounding data detected at least one inversion. The ratio of this number to the total number of sounding profiles containing at least one inversion (<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">SD</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) defines the inversion detection accuracy for that dataset:

              <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M71" display="block"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">both</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">SD</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Sensitivity analysis of time-matching window</title>
      <p id="d2e1512">To determine the optimal time-matching window, we analyzed the variations in accuracy between MOD07_L2 temperature retrievals and sounding observations across different time-difference intervals (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula>; Fig. 2). The results showed that, for <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>|</mml:mo><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> h, no valid matches were available in the NEP, while the number of matches in the HHH was too small to support a nationwide evaluation. When the window was expanded to 1–1.5 and 1.5–2 h, the sample size increased significantly. During daytime, the <inline-formula><mml:math id="M74" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> values for the SB and LP reached <inline-formula><mml:math id="M75" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.81 and <inline-formula><mml:math id="M76" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.30 °C, respectively, under the 1–1.5 h window (Fig. 2c), with corresponding RMSE values of 4.33 and 4.60 °C. Under the 1.5–2 h window, the daytime <inline-formula><mml:math id="M77" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> in the HHH was <inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.91 °C, with a corresponding RMSE of 3.78 °C. These results suggest that greater time differences may contribute to larger discrepancies between MOD07_L2 retrievals and sounding observations in some regions. By contrast, nighttime <inline-formula><mml:math id="M79" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> and RMSE varied relatively little across the four time windows. At the national scale, extending the matching window from <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M81" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 h to <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M83" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2 h increased the number of matched records from 554 128 to 894 061 during daytime and from 299 578 to 711 344 at nighttime. Averaged across the nine pressure levels, daytime <inline-formula><mml:math id="M84" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M85" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>, and RMSE changed from 0.961, <inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.00 °C, and 3.22 °C to 0.963, <inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.91 °C, and 3.18 °C, respectively; the corresponding nighttime values changed from 0.958, <inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.46 °C, and 2.76 °C to 0.968, <inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.37 °C, and 2.73 °C. Thus, although errors increased in a few regions, the 2 h window substantially increased sample coverage without reducing national-scale accuracy and was retained for the subsequent analyses.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1679">Sensitivity analysis of temperature retrieval accuracy to different temporal matching windows. Panels <bold>(a)</bold>, <bold>(c)</bold>, and <bold>(e)</bold> show daytime correlation coefficient (<inline-formula><mml:math id="M90" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>), bias (<inline-formula><mml:math id="M91" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>), and root mean square error (RMSE), respectively; panels <bold>(b)</bold>, <bold>(d)</bold>, and <bold>(f)</bold> show the corresponding nighttime statistics.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>The overall absolute retrieval accuracy during daytime and nighttime</title>
      <p id="d2e1729">Figure 3 illustrates the density scatterplots comparing MOD07_L2 instantaneous retrievals with sounding temperatures at different pressure levels during daytime. MOD07_L2 agreed closely with the sounding observations in the upper layers (400–620 hPa), with <inline-formula><mml:math id="M92" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> values of at least 0.95 and RMSE values ranging from 2.53 to 2.86 °C. Retrieval errors increased toward the lower layers, particularly at 850 and 920 hPa, where the <inline-formula><mml:math id="M93" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> values were <inline-formula><mml:math id="M94" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.03 and <inline-formula><mml:math id="M95" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.14 °C, respectively, with corresponding RMSE values of 3.74 and 4.11 °C. Thus, the daytime retrievals showed pronounced negative biases and greater uncertainty at these two lower pressure levels.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1762">Overall accuracy of MOD07_L2 temperature retrievals evaluated against sounding observations during daytime from 2003 to 2020.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f03.png"/>

        </fig>

      <p id="d2e1771">Figure 4 illustrates the density scatterplots comparing MOD07_L2 instantaneous retrievals with sounding observations at different pressure levels during nighttime. In general, the overall retrieval performance during nighttime was better than that during daytime. In the upper layers, <inline-formula><mml:math id="M96" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> was above 0.96, the RMSE ranged from 2.21 to 2.63 °C, indicating strong correlations and relatively small errors. RMSE values were lower at nighttime than during daytime at all examined pressure levels. At 850 and 920 hPa, the <inline-formula><mml:math id="M97" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> values were <inline-formula><mml:math id="M98" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.62 and <inline-formula><mml:math id="M99" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.37 °C, respectively, with corresponding RMSE values of 3.42 and 3.18 °C. Although these biases and RMSE values were lower than the corresponding daytime values, they remained relatively large compared with those at the other pressure levels.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1805">Overall accuracy of MOD07_L2 temperature retrievals evaluated against sounding observations during nighttime from 2003 to 2020.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f04.png"/>

        </fig>

      <p id="d2e1814">Table 1 summarizes the national-scale validation statistics (<inline-formula><mml:math id="M100" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M101" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>, and RMSE) for all nine pressure levels.</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e1834">National-scale validation statistics for MOD07_L2 temperature retrievals at nine pressure levels during daytime and nighttime from 2003 to 2020.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center">Daytime </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">Nighttime </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pressure</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M102" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M103" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">RMSE</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M104" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M105" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">RMSE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(hPa)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(°C)</oasis:entry>
         <oasis:entry colname="col4">(°C)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">(°C)</oasis:entry>
         <oasis:entry colname="col7">(°C)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">400</oasis:entry>
         <oasis:entry colname="col2">0.95</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.40</oasis:entry>
         <oasis:entry colname="col4">2.86</oasis:entry>
         <oasis:entry colname="col5">0.96</oasis:entry>
         <oasis:entry colname="col6">0.87</oasis:entry>
         <oasis:entry colname="col7">2.63</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">500</oasis:entry>
         <oasis:entry colname="col2">0.96</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M107" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.77</oasis:entry>
         <oasis:entry colname="col4">2.67</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6">0.43</oasis:entry>
         <oasis:entry colname="col7">2.38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">620</oasis:entry>
         <oasis:entry colname="col2">0.97</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M108" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28</oasis:entry>
         <oasis:entry colname="col4">2.53</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6">0.54</oasis:entry>
         <oasis:entry colname="col7">2.21</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">700</oasis:entry>
         <oasis:entry colname="col2">0.97</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M109" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.52</oasis:entry>
         <oasis:entry colname="col4">2.69</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M110" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.40</oasis:entry>
         <oasis:entry colname="col7">2.57</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">780</oasis:entry>
         <oasis:entry colname="col2">0.97</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.80</oasis:entry>
         <oasis:entry colname="col4">2.75</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.52</oasis:entry>
         <oasis:entry colname="col7">2.60</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">850</oasis:entry>
         <oasis:entry colname="col2">0.97</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M113" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.03</oasis:entry>
         <oasis:entry colname="col4">3.74</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M114" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.62</oasis:entry>
         <oasis:entry colname="col7">3.42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">920</oasis:entry>
         <oasis:entry colname="col2">0.96</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.14</oasis:entry>
         <oasis:entry colname="col4">4.11</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M116" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.37</oasis:entry>
         <oasis:entry colname="col7">3.18</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">950</oasis:entry>
         <oasis:entry colname="col2">0.96</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.44</oasis:entry>
         <oasis:entry colname="col4">3.77</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.96</oasis:entry>
         <oasis:entry colname="col7">2.86</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1000</oasis:entry>
         <oasis:entry colname="col2">0.95</oasis:entry>
         <oasis:entry colname="col3">0.14</oasis:entry>
         <oasis:entry colname="col4">3.55</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.30</oasis:entry>
         <oasis:entry colname="col7">2.64</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>The Spatial Distribution of the Absolute Retrieval Accuracy</title>
      <p id="d2e2260">Figure 5 presents the spatial distribution of MOD07_L2 retrieval accuracy metrics across various pressure levels during daytime. The first two columns display the effective matching sample size for each station and the pressure difference (hereafter <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula>) between the local near-surface pressure and the target pressure level, respectively. The pressure difference was calculated as <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mtext>near-surface</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">target</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>near-surface</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the pressure of the local near-surface layer and <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">target</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the target pressure level. A smaller <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula> indicates that the target pressure level is closer to the local surface. The sample size generally exhibits a decreasing trend from northwest to southeast across China. In the upper layers, retrieval performance was generally better over the NEP, NAS, and HHH, which are characterized by relatively flat terrain and sufficient sample sizes. The <inline-formula><mml:math id="M125" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> exceeded 0.95, the <inline-formula><mml:math id="M126" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> was within <inline-formula><mml:math id="M127" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 °C, and the RMSE was around 2.5 °C. However, relatively large negative <inline-formula><mml:math id="M128" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> values were observed over the MYP, whereas relatively large positive <inline-formula><mml:math id="M129" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> values occurred over the TP. In the middle levels, <inline-formula><mml:math id="M130" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> was generally small across most regions. In the lower layers, relatively large negative <inline-formula><mml:math id="M131" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> values were observed in the western part of the NAS at 850 hPa. At 920 and 950 hPa, pronounced negative <inline-formula><mml:math id="M132" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> values mainly occurred over southern regions, including the SC, YGP, SB, and MYP where RMSE exceeded 3.5 °C at some stations. At 1000 hPa, relatively large positive <inline-formula><mml:math id="M133" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> values were observed in parts of the NEP. Overall, daytime retrieval errors became larger and more spatially variable in the lower layers, particularly over southern China and regions with complex terrain.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2396">Spatial distribution of statistical indicators at each station for MOD07_L2 temperature retrievals evaluated against sounding observations at nine pressure levels during daytime from 2003 to 2020.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f05.png"/>

        </fig>

      <p id="d2e2405">Figure 6 illustrates the comparison between MOD07_L2-retrieved temperatures and sounding observations at different pressure levels during nighttime. The first two columns present the effective matched sample size for each station and the corresponding pressure difference (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula>), calculated as described above, respectively. Spatially, the nighttime sample size exhibited a decreasing gradient from northeast to southwest in the upper and middle layers, while lower counts were observed in the lower layers over the NEP, SC, and the southeastern part of the YGP. In the upper layers, the retrieval accuracy was slightly higher than that during daytime over flat regions such as the NEP, HHH, and NAS. <inline-formula><mml:math id="M135" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> exceeded 0.95, RMSE ranged from 2.0 to 2.5 °C at most stations, and slight positive biases were generally observed. Negative biases persisted over the MYP, but their absolute values were generally less than 2 °C. In the middle layers, nighttime retrieval errors were generally lower than those during daytime. In the lower layers, the retrieval accuracy at nighttime improved over most regions, especially over the HHH and MYP. In these regions, <inline-formula><mml:math id="M136" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> approached 0.9, <inline-formula><mml:math id="M137" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> remained close to 0 °C, and RMSE decreased to approximately 2.0 °C. By contrast, negative biases over the NAS and NEP became more pronounced, approaching <inline-formula><mml:math id="M138" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4 °C at some stations. In the NEP, where the sample size was relatively small, RMSE values ranged from 3.0 to 4.0 °C. Overall, nighttime retrieval performance improved across most regions, although relatively large negative biases and RMSE values persisted over the NAS and NEP in the middle and lower layers.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2449">Spatial distribution of statistical indicators at each station for MOD07_L2 temperature retrievals evaluated against sounding observations at nine pressure levels during nighttime from 2003 to 2020.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>The accuracy of lower tropospheric stability</title>
      <p id="d2e2466">Figure 7 illustrated the ability of the MOD07_L2 product to capture lower tropospheric stability (LTS) during both daytime and nighttime. During daytime, the <inline-formula><mml:math id="M139" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M140" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>, and RMSE were 0.74, <inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.33 K, and 4.52 K, respectively. At night, <inline-formula><mml:math id="M142" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> decreased to 0.57, <inline-formula><mml:math id="M143" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> became more negative at <inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.59 K, and RMSE increased to 6.78 K. Furthermore, the red regression line deviated more markedly from the cyan 1 : 1 line at night, indicating a stronger negative bias and greater dispersion in the MOD07_L2-derived LTS. Overall, MOD07_L2 captured daytime LTS more accurately than nighttime LTS.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2514">Heat map of sounding-derived and MOD07_L2-derived lower tropospheric stability during daytime and nighttime from 2003 to 2020.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f07.png"/>

        </fig>

      <p id="d2e2523">In terms of spatial distribution, the retrieval accuracy of LTS exhibited pronounced regional variability during both daytime and nighttime (Fig. 8). During daytime, <inline-formula><mml:math id="M145" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> values were lower in humid and topographically complex regions such as the SB, MYP, LP, and HHH, with most values falling below 0.5. By contrast, higher <inline-formula><mml:math id="M146" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> values were observed over the NAS and Northeast China Plain, with regional means of approximately 0.58. These results indicated that retrieval performances were superior in arid and flat terrains. The mean RMSE during daytime was approximately 4.38 K nationwide and was relatively low over the TP, SC, and SB, whereas higher values occurred over the HHH and Northeast China Plain. The mean bias was close to zero nationwide, although negative biases occurred over the TP and Northeast China Plain, whereas positive biases were evident over the YGP, SB, and LP. During nighttime, the spatial distribution of <inline-formula><mml:math id="M147" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> exhibited a distinct pattern. Lower <inline-formula><mml:math id="M148" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> values were observed over the TP, SB, LP, NAS, and YGP, whereas higher values occurred over the SC, MYP, Northeast China Plain, and HHH, suggesting that retrieval performance in humid zones improved at nighttime compared with daytime. Nighttime RMSE values were lower over the YGP, SC, MYP, and HHH, mostly ranging from 3 to 4 K, reflecting greater retrieval stability. Higher RMSE values occurred over the TP, NAS, LP, Northeast China Plain, and SB, with regional means generally exceeding 5 K, thereby indicating greater uncertainty. In terms of bias, relatively small deviations occurred over the HHH, SC, and YGP, whereas pronounced negative biases persisted over the TP, LP, NAS, and SB. Overall, the retrieval performance was better over arid and flat regions during daytime but improved over humid regions at nighttime, while larger nighttime uncertainties remained in arid, high-elevation, and topographically complex regions.</p>

      <fig id="F8"><label>Figure 8</label><caption><p id="d2e2557">Spatial distribution of MOD07_L2 lower tropospheric stability retrieval accuracy for daytime and nighttime from 2003 to 2020. Panels <bold>(a)</bold>, <bold>(c)</bold>, and <bold>(e)</bold> show daytime <inline-formula><mml:math id="M149" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M150" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>, and RMSE, respectively; panels <bold>(b)</bold>, <bold>(d)</bold>, and <bold>(f)</bold> show the corresponding nighttime metrics.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>The identification of temperature inversion layers</title>
      <p id="d2e2608">Figure 9 illustrated the detection results of TILs by MOD07_L2 over China and its nine agricultural zones during daytime and nighttime. Overall, the proportion of TILs detected by MOD07_L2 was low, with 6.6 % during daytime and 13.1 % during nighttime. Generally, regions with higher detection rates during the daytime also exhibited higher rates during the nighttime, except for the SB. During daytime, the detection rate of inversion layers by MOD07_L2 was below 6 % in most regions, and inversion layers were not detected over the TP or in the SB. Only NAS and NEP showed respective 10.6 % and 8.4 % detection rates during daytime. During nighttime, the detection rate remained below 10 % in most regions, with only NEP and NAS at 29.9 % and 20.0 %, respectively. During nighttime, inversion layers were not detected over the TP. In general, the detection rates were higher during nighttime than during daytime across most regions.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e2613">Overall and regional detection accuracies of MOD07_L2 for temperature inversion layers during daytime and nighttime across nine agricultural regions.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f09.png"/>

        </fig>

      <p id="d2e2622">As illustrated in Fig. 10, the spatial distributions and detection accuracies of temperature inversions derived from sounding data and MOD07_L2 exhibited marked discrepancies between daytime and nighttime. During daytime, sounding data recorded the highest inversion counts in the NEP, with two stations surpassing 1000 events. Inversion counts at most stations in the NEP and HHH ranged from 200 to 500, while those in other areas were predominantly below 200. Notably, two stations on the TP detected no inversions. In contrast, MOD07_L2 identified inversion counts between 50 and 500 solely in the northern portions of the NEP and in the NAS. The majority of stations elsewhere fell below 50 counts, and no inversions were detected in the SB. Only one northeastern station on the TP detected a minimal number. Furthermore, stations in the western portions of the YGP and on the MYP also failed to detect any inversions. Detection precision exceeded 10 % at only a few isolated sites in the northern NAS and NEP. During nighttime, sounding data revealed that inversion events were more prevalent and frequent. Stations with inversion counts exceeding 1000 were primarily distributed in western NAS, northern LP, and northern HHH. Specifically, inversion counts in western NAS, NEP, HHH, and LP were relatively high, all surpassing 200. In contrast, the TP exhibited the fewest inversions, with two stations detecting none. The detection performance of MOD07_L2 improved at night, identifying 500–1000 inversions at three stations in northern NAS and exceeding 50 counts in NEP, northern NAS, and northern HHH. However, inversion counts at stations in other regions remained below 50. Detection precision reached 10 % only in northern NAS and northern NEP. Notably, MOD07_L2 failed to detect any inversions at stations on the TP, as well as in parts of the SB and MYP.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e2629">Spatial distribution and precision of temperature inversion detection based on MOD07_L2 and sounding data during daytime and nighttime from 2003 to 2020. Panels <bold>(a)</bold> and <bold>(b)</bold> show the daytime and nighttime distributions derived from sounding data; panels <bold>(c)</bold> and <bold>(d)</bold> show the corresponding distributions from MOD07_L2; panels <bold>(e)</bold> and <bold>(f)</bold> show the detection precision at each station for daytime and nighttime.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/6535/2026/amt-19-6535-2026-f10.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Uncertainty of the absolute temperature retrieval</title>
      <p id="d2e2673">This study reveals that the retrieval accuracy of MOD07_L2 satellite temperature profiles significantly decreases as pressure levels approach the Earth's surface. This phenomenon primarily arises from stronger interference by surface longwave radiation in the lower atmosphere, greater variability in surface thermal inertia, and more intense local circulation and temperature fluctuations induced by complex terrain near the surface (Xue et al., 2023; Cheng et al., 2025; Song et al., 2024). Additionally, overall retrieval accuracy is higher at night than during the daytime, mainly because nighttime surface radiative cooling reduces diurnal variations in thermal infrared signals (He et al., 2023).</p>
      <p id="d2e2676">Spatially, the retrieval errors exhibit pronounced regional heterogeneity. In the TP, errors in the middle and lower layers are high, primarily attributable to high elevation and complex terrain causing standard pressure levels to be closer to the surface, as well as extreme diurnal temperature variations that amplify fluctuations in thermal infrared signals (Zhao et al., 2020; Ma et al., 2023). Additionally, the MOD07_L2 product integrates multi-channel infrared brightness temperatures with global reanalysis and sounding data through statistical regression and physical retrieval algorithms (Sobrino et al., 2015; Zhang et al., 2025). The SB and MYP exhibited relatively large lower-layer errors during daytime due to humid climate, frequent stratiform cloud cover, and topographic enclosure (Zhang and Zhang, 2019; Feng et al., 2020). In addition, the time-matching sensitivity analysis indicated that larger temporal differences also contributed to increased daytime retrieval errors over the SB and LP (Fig. 2). At nighttime, retrieval errors decreased markedly over the HHH and MYP, possibly because weaker surface heating reduced short-term thermal heterogeneity. In the NAS, sparse vegetation cover weakens near-surface energy exchange, thereby increasing retrieval errors in the lower layers (Meier et al., 2022). Dust storms and aerosols with high optical thickness further interfere with atmospheric transmittance (Huang et al., 2020b). Moreover, the pronounced nighttime negative biases over the NAS and NEP may be associated with strong stable stratification and sharp low-level temperature gradients, which are difficult for infrared profile retrievals with limited vertical resolution to resolve accurately (Guo et al., 2020; Gopikrishnan et al., 2023). It is particularly noteworthy that MOD07_L2 exhibits pronounced negative biases at 850 and 920 hPa, especially during daytime. Because these levels are close to the surface over most regions, uncertainties in surface temperature and spectral emissivity can propagate into the retrieved lower-tropospheric temperatures (Xie et al., 2023; Gopikrishnan et al., 2023). Moreover, the broad vertical weighting functions and limited vertical sampling of MOD07_L2 may smooth strong temperature gradients and warm anomalies in the lower atmosphere, thereby contributing to temperature underestimation (King et al., 2003; Sobrino et al., 2015). Water vapor absorption and residual thin-cloud contamination may further reduce the sensitivity of infrared radiances to these levels, particularly in humid regions (Platnick et al., 2003). These combined effects likely explain the more pronounced daytime negative biases at 850 and 920 hPa.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Uncertainty of lower tropospheric stability and temperature inversion layer</title>
      <p id="d2e2687">This study revealed that the accuracy of LTS retrieved by MOD07_L2 was higher during the daytime than at nighttime, which appears inconsistent with the superior absolute retrieval accuracy of atmospheric temperature observed at night. This discrepancy arose from the nature of LTS as a derived parameter, whose accuracy hinges not only on the absolute retrieval precision of individual layer temperatures but also on the fidelity of vertical temperature gradient retrieval. At night, although atmospheric temperature retrieval accuracy may be enhanced, the frequent occurrence of strong near-surface inversion layers heightened vertical structural complexity (Kaushal et al., 2022; Tan et al., 2021). A ground-based study at the Southern Great Plains site showed that during cloudy nights, clouds absorb surface longwave radiation and re-radiate it downward, reducing surface radiative cooling rates and thereby enhancing atmospheric instability and turbulence intensity (Li et al., 2025). This leads to more complex vertical temperature gradients at night, increasing the difficulty of LTS retrieval using MOD07_L2. The limited vertical resolution of MOD07_L2 thus struggled to resolve sharp temperature gradients within thin inversion layers, and may smooth shallow nocturnal inversions. Because near-surface potential temperature was estimated by linear interpolation from discrete pressure levels, failure to resolve the colder air near the inversion base may lead to an overestimation of near-surface potential temperature and consequently an underestimation of LTS (Zhang et al., 2023). Moreover, nighttime thermal infrared remote sensing exhibited diminished sensitivity to subtle thermal variations in the boundary layer (He et al., 2023). Prevalent cloud cover and elevated water vapor may partly explain the relatively low daytime accuracy over the SB and MYP and the persistently large nighttime errors over the SB (Zhang and Zhang, 2019). However, the improved nighttime performance over the MYP, SC, and HHH indicates that atmospheric moisture alone does not determine regional retrieval accuracy, which is also influenced by terrain and nighttime thermal structure. Additionally, pronounced nighttime negative biases persisted over the TP, LP, NAS, and SB. In these arid, high-elevation, or topographically complex regions, strong nighttime radiative cooling and terrain effects can enhance low-level temperature gradients, increasing the difficulty of accurately retrieving LTS (Feng et al., 2020; Guo et al., 2020; Chen et al., 2022). In addition, MOD07_L2 identified only a limited number of TILs, possibly due to its 5 km spatial resolution, which may average out thin inversion structures (Borbas et al., 2011). Furthermore, the limited vertical sampling of only 20 standard pressure levels in MOD07_L2 hindered the resolution of shallow near-surface inversions. MOD07_L2 data indicated that nighttime inversions were more frequent than those during the daytime, attributable to nighttime surface longwave cooling that readily initiates and sustains near-surface inversions. This mechanism aligned with findings from multi-site radiosonde observations (Zhang et al., 2022; Zeng et al., 2022). The present study further demonstrates that MOD07_L2 exhibited a higher detection rate and accuracy for nighttime inversions compared to daytime ones, primarily owing to the enhanced boundary layer stability and reduced atmospheric turbulence, which improve the reliability of satellite-based inversion detection (Tan et al., 2021). On a regional scale, the frequency of temperature inversion detection over the Tibetan Plateau is relatively low. This finding aligns with recent evaluations of reanalysis products over the TP, which have also revealed substantial challenges in capturing low-level temperature inversions due to complex terrain and surface–atmosphere interactions (Luo et al., 2025). Furthermore, MOD07_L2 provided fewer effective pressure levels in high-altitude regions, thereby reducing its inversion detection capabilities (Che and Zhao, 2021; Chen et al., 2016). In the SB, the humid and enclosed terrain promoted inversion formation. However, the multi-layered structure and moist air impeded thermal infrared profile retrieval, resulting in lower accuracy (Feng et al., 2020, 2023). In high latitude areas, despite the greater temporal mismatch between the datasets in northern NEP and NAS, MOD07_L2 demonstrated superior accuracy in inversion layer detection in these regions. This finding aligned with long-term radiosonde climatology, underscoring that colder, higher-latitude areas were prone to forming thicker and stronger near-surface inversions (Guo et al., 2020). In humid southern regions such as MYP and YGP, abundant moisture and thin inversion layers impeded effective detection by MOD07_L2. Furthermore, Huang et al. (2021) reported that humid southern China predominantly featured thin, weak elevated inversions, which posed significant challenges for reliable infrared profile retrievals.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Future effort</title>
      <p id="d2e2698">Based on the systematic validation of the high-resolution MOD07_L2 satellite product conducted in this study, the performance characteristics and regional applicability of this dataset in terms of vertical temperature profile absolute accuracy, lower tropospheric stability (LTS), and temperature inversion layer (TIL) detection have been clarified. Future work can be deepened in the following directions. First, optimize the spatiotemporal matching scheme by developing more refined interpolation methods or incorporating atmospheric model corrections to reduce boundary layer evolution errors potentially introduced by the <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M152" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2 h window. Second, deepen error attribution analysis by integrating auxiliary data such as cloud cover, aerosol optical depth, water vapor, and terrain, combined with radiative transfer simulations or machine learning methods, to quantitatively diagnose the mechanisms underlying the systematic negative biases at 850 and 920 hPa and their regional differences. Finally, further improve the retrieval algorithm performance of the MOD07_L2 product and explore feasible pathways for integrating multi-source observational data, with the aim of generating higher-accuracy temperature profile products, thereby significantly enhancing their application value in regional high-impact weather mechanism analysis, local climate monitoring, and environmental assessment.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d2e2732">While the MOD07_L2 atmospheric temperature profile product provides important information at high spatial resolution, there is still a lack of comprehensive evaluation in terms of its absolute retrieval accuracy and its capability to assess boundary layer stability and detect temperature inversions. Therefore, we conducted a comprehensive assessment by comparing MOD07_L2 temperature retrievals with sounding observations from 74 geographically distributed stations across China during 2003–2020. The absolute retrieval accuracy of MOD07_L2 showed clear differences across pressure layers during both daytime and nighttime, with nighttime accuracy generally better than that during daytime. Meanwhile, the upper layers (400–620 hPa) demonstrated higher accuracy, whereas the lower layers (850–1000 hPa) exhibited larger errors in humid and topographically complex regions. In particular, pronounced negative biases were observed at 850 and 920 hPa, especially during daytime. In contrast, MOD07_L2-derived LTS was more accurate during daytime than nighttime. Moreover, there were limitations in detecting temperature inversion layers during both daytime and nighttime. The findings of this study enhance the utility of MODIS's long-term data archive for climate applications and provide a valuable reference for the development and validation of similar products from current and future satellite missions, such as the VIIRS instrument.</p>
</sec>

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

      <p id="d2e2739">The shapefile data of agricultural zones is accessible from <uri>https://www.resdc.cn</uri>. The MOD07_L2 data are available from <uri>https://ladsweb.modaps.eosdis.nasa.gov</uri>. The sounding data are available from <uri>http://data.cma.cn</uri>. These data are openly accessible, and no permissions are required to download them. The corresponding data citations have been included in the reference list of this manuscript.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2754">WZ: Conceptualization, Methodology, Supervision, Funding acquisition, Resources, Writing – review &amp; editing. MQ: Methodology, Supervision, Data curation, Formal analysis, Writing – original draft. RS and JZ: Validation, Supervision. GN: Conceptualization, Investigation, Writing – review &amp; editing. AI, ZM and DZ: Validation, Methodology. BP: Methodology. YY: Conceptualization, Methodology, Supervision, Resources, Writing – review &amp; editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2760">At least one of the (co-)authors is a member of the editorial board of <italic>Atmospheric Measurement Techniques</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e2769">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. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2775">This research has been supported by the National Key Research and Development Program of China (grant no. 2023YFE0208100), the National Natural Science Foundation of China (grant nos. 42201053 and 42222503), and the open fund project of the State Key Laboratory of Regional and Urban Ecology (grant no. SKLURE2023-2-4).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2781">This paper was edited by Jianhuai Ye and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Barlow, J. F., Halios, C. H., Lane, S. E., and Wood, C. R.: Observations of urban boundary layer structure during a strong urban heat island event, Environ. Fluid Mech., 15, 373–398, <ext-link xlink:href="https://doi.org/10.1007/s10652-014-9335-6" ext-link-type="DOI">10.1007/s10652-014-9335-6</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Borbas, E. E., Seemann, S. W., Kern, A., Moy, L., Li, J., Gumley, L. E., and Menzel, W. P.: MODIS Atmospheric Profile Retrieval Algorithm Theoretical Basis Document, Collection 6, Version 7, University of Wisconsin–Madison, Madison, WI, <uri>https://modis-images.gsfc.nasa.gov/_docs/MOD07_atbd_v7_April2011.pdf</uri> (last access: 10 September 2026), 2011.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Che, J. and Zhao, P.: Characteristics of the summer atmospheric boundary layer height over the Tibetan Plateau and influential factors, Atmos. Chem. Phys., 21, 5253–5268, <ext-link xlink:href="https://doi.org/10.5194/acp-21-5253-2021" ext-link-type="DOI">10.5194/acp-21-5253-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Chen, G., Zhang, X., and Fu, Y.: Diurnal variation in clouds and radiative budgets over the Tibetan Plateau during summer using CERES data, J. Geophys. Res.-Atmos., 127, e2021JD036329, <ext-link xlink:href="https://doi.org/10.1029/2021JD036329" ext-link-type="DOI">10.1029/2021JD036329</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Chen, S., Hu, D., Wong, M. S., Ren, H., Cao, S., Yu, C., and Ho, H. C.: Characterizing spatiotemporal dynamics of anthropogenic heat fluxes: A 20-year case study in Beijing–Tianjin–Hebei region in China, Environ. Pollut., 249, 923–931, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2019.03.113" ext-link-type="DOI">10.1016/j.envpol.2019.03.113</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Chen, X., Škerlak, B., Rotach, M. W., Añel, J. A., Su, Z., Ma, Y., and Li, M.: Reasons for the extremely high-ranging planetary boundary layer over the western Tibetan Plateau in winter, J. Atmos. Sci., 73, 2021–2038, <ext-link xlink:href="https://doi.org/10.1175/JAS-D-15-0148.1" ext-link-type="DOI">10.1175/JAS-D-15-0148.1</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Cheng, J., Zeng, Q., Sun, H., Guo, Y., Yang, F., Guo, M., and Wu, C.: A global 1 km resolution daily surface longwave radiation product from MODIS satellite data from 2000–2023, Sci. Data, 12, 736, <ext-link xlink:href="https://doi.org/10.1038/s41597-025-05076-8" ext-link-type="DOI">10.1038/s41597-025-05076-8</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Coll, C., Caselles, V., Valor, E., and Niclòs, R.: Comparison between different sources of atmospheric profiles for land surface temperature retrieval from single channel thermal infrared data, Remote Sens. Environ., 117, 199–210, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2011.09.018" ext-link-type="DOI">10.1016/j.rse.2011.09.018</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Dessler, A. E. and Davis, S. M.: Trends in tropospheric humidity from reanalysis systems, J. Geophys. Res.-Atmos., 115, D19127, <ext-link xlink:href="https://doi.org/10.1029/2010JD014192" ext-link-type="DOI">10.1029/2010JD014192</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Feng, X., Wei, S., and Wang, S.: Temperature inversions in the atmospheric boundary layer and lower troposphere over the Sichuan Basin, China: Climatology and impacts on air pollution, Sci. Total Environ., 726, 138579, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2020.138579" ext-link-type="DOI">10.1016/j.scitotenv.2020.138579</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Feng, X., Zhang, Z., Guo, J., and Wang, S.: Multilayer inversion formation and evolution during persistent heavy air pollution events in the Sichuan Basin, China, Atmos. Res., 286, 106691, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2023.106691" ext-link-type="DOI">10.1016/j.atmosres.2023.106691</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Galfi, V. M. and Lucarini, V.: Fingerprinting heatwaves and cold spells and assessing their response to climate change using large deviation theory, Phys. Rev. Lett., 127, 058701, <ext-link xlink:href="https://doi.org/10.1103/PhysRevLett.127.058701" ext-link-type="DOI">10.1103/PhysRevLett.127.058701</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Gelaro, R., McCarty, W., Suárez, M. J., Todling, R., Molod, A., Takacs, L., Randles, C. A., Darmenov, A., Bosilovich, M. G., Reichle, R., Wargan, K., Coy, L., Cullather, R., Draper, C., Akella, S., Buchard, V., Conaty, A., da Silva, A. M., Gu, W., Kim, G.-K., Koster, R., Lucchesi, R., Merkova, D., Nielsen, J. E., Partyka, G., Pawson, S., Putman, W., Rienecker, M., Schubert, S. D., Sienkiewicz, M., and Zhao, B.: The Modern-Era Retrospective Analysis for Research and Applications, Version 2 (MERRA-2), J. Climate, 30, 5419–5454, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0758.1" ext-link-type="DOI">10.1175/JCLI-D-16-0758.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Gopikrishnan, G. S., Kuttippurath, J., Thapliyal, P. K., and Shukla, M. V.: Validation of INSAT-3D and INSAT-3DR temperature profile retrievals using ground-based, satellite, and reanalysis data, J. Geophys. Res.-Atmos., 128, e2023JD038912, <ext-link xlink:href="https://doi.org/10.1029/2023JD038912" ext-link-type="DOI">10.1029/2023JD038912</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Grimmond, C. S. B., Roth, M., Oke, T. R., Au, Y. C., Best, M., Betts, R., Carmichael, G., Cleugh, H., Dabberdt, W., Emmanuel, R., Freitas, E., Fortuniak, K., Hanna, S., Klein, P., Kalkstein, L. S., Liu, C. H., Nickson, A., Pearlmutter, D., Sailor, D., and Voogt, J.: Climate and more sustainable cities: Climate information for improved planning and management of cities (producers/capabilities perspective), Procedia Environ. Sci., 1, 247–274, <ext-link xlink:href="https://doi.org/10.1016/j.proenv.2010.09.016" ext-link-type="DOI">10.1016/j.proenv.2010.09.016</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Guo, J., Miao, Y., Zhang, Y., Liu, H., Li, Z., Zhang, W., He, J., Lou, M., Yan, Y., Bian, L., and Zhai, P.: The climatology of planetary boundary layer height in China derived from radiosonde and reanalysis data, Atmos. Chem. Phys., 16, 13309–13319, <ext-link xlink:href="https://doi.org/10.5194/acp-16-13309-2016" ext-link-type="DOI">10.5194/acp-16-13309-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Guo, J., Su, T., Li, Z., Miao, Y., Li, J., Liu, H., Xu, H., Cribb, M., and Zhai, P.: Declining frequency of summertime local-scale precipitation over eastern China from 1970 to 2010 and its potential link to aerosols, Geophys. Res. Lett., 44, 5700–5708, <ext-link xlink:href="https://doi.org/10.1002/2017GL073533" ext-link-type="DOI">10.1002/2017GL073533</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Guo, J., Chen, X., Su, T., Liu, L., Zheng, Y., Chen, D., Li, J., Xu, H., Lv, Y., He, B., Li, Y., Hu, X.-M., Ding, A., and Zhai, P.: The climatology of lower tropospheric temperature inversions in China from radiosonde measurements: Roles of black carbon, local meteorology, and large-scale subsidence, J. Climate, 33, 9327–9350, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-19-0278.1" ext-link-type="DOI">10.1175/JCLI-D-19-0278.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Harris, I., Osborn, T. J., Jones, P., and Lister, D.: Version 4 of the CRU TS monthly high-resolution gridded multivariate climate dataset, Sci. Data, 7, 109, <ext-link xlink:href="https://doi.org/10.1038/s41597-020-0453-3" ext-link-type="DOI">10.1038/s41597-020-0453-3</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>He, G., He, C., Wang, H., Lu, X., Pei, C., Qiu, X., Liu, C., Wang, Y., Liu, N., Zhang, J., Lei, L., Liu, Y., Wang, H., Deng, T., Fan, Q., and Fan, S.: Nighttime ozone in the lower boundary layer: insights from 3-year tower-based measurements in South China and regional air quality modeling, Atmos. Chem. Phys., 23, 13107–13124, <ext-link xlink:href="https://doi.org/10.5194/acp-23-13107-2023" ext-link-type="DOI">10.5194/acp-23-13107-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: The ERA5 global reanalysis, Q. J. R. Meteorol. Soc., 146, 1999–2049, <ext-link xlink:href="https://doi.org/10.1002/qj.3803" ext-link-type="DOI">10.1002/qj.3803</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Huang, F., Zhan, W., Wang, Z.-H., Voogt, J., Hu, L., Quan, J., Liu, C., Zhang, N., and Lai, J.: Satellite identification of atmospheric-surface-subsurface urban heat islands under clear sky, Remote Sens. Environ., 250, 112039, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2020.112039" ext-link-type="DOI">10.1016/j.rse.2020.112039</ext-link>, 2020a.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Huang, G., Chen, Y., Li, Z., Liu, Q., Wang, Y., He, Q., Liu, T., Liu, X., Zhang, Y., Gao, J., and Yao, Y.: Validation and accuracy analysis of the Collection 6.1 MODIS aerosol optical depth over the westernmost city in China based on Sun–Sky Radiometer observations from SONET, Earth Space Sci., 7, e2019EA001041, <ext-link xlink:href="https://doi.org/10.1029/2019EA001041" ext-link-type="DOI">10.1029/2019EA001041</ext-link>, 2020b.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Huang, Q., Chu, Y., and Li, Q.: Climatology of low-level temperature inversions over China based on high-resolution radiosonde measurements, Theor. Appl. Climatol., 144, 415–429, <ext-link xlink:href="https://doi.org/10.1007/s00704-021-03536-w" ext-link-type="DOI">10.1007/s00704-021-03536-w</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Kaushal, S., Singh, D. K., and Sreenivas, K. R.: Penetrative convection in nocturnal atmospheric boundary layer and radiation fog, arXiv [preprint], <ext-link xlink:href="https://doi.org/10.48550/arXiv.2209.13185" ext-link-type="DOI">10.48550/arXiv.2209.13185</ext-link>, 27 September 2022.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>King, M. D., Menzel, W. P., Kaufman, Y. J., Tanré, D., Gao, B. C., Platnick, S., Ackerman, S. A., Remer, L. A., Pincus, R., and Hubanks, P. A.: Cloud and aerosol properties, precipitable water, and profiles of temperature and water vapor from MODIS, IEEE Trans. Geosci. Remote Sens., 41, 442–458, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2002.808226" ext-link-type="DOI">10.1109/TGRS.2002.808226</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Leng, P., Liao, Q.-Y., Gao, M.-F., Duan, S.-B., Li, Z.-L., Zhang, X., and Shang, G.-F.: A full satellite-driven method for the retrieval of clear-sky evapotranspiration, Earth Space Sci., 6, 2251–2262, <ext-link xlink:href="https://doi.org/10.1029/2019EA000869" ext-link-type="DOI">10.1029/2019EA000869</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Li, H., Liu, B., Gong, W., Ma, Y., Jin, S., Wang, W., Fan, R., and Jiang, S.: Influence of clouds on planetary boundary layer height: A comparative study and factors analysis, Atmos. Res., 314, 107784, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2024.107784" ext-link-type="DOI">10.1016/j.atmosres.2024.107784</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Li, J., Chen, H., Li, Z., Wang, P., Fan, X., He, W., and Zhang, J.: Analysis of low-level temperature inversions and their effects on aerosols in the lower atmosphere, Adv. Atmos. Sci., 36, 1235–1250, <ext-link xlink:href="https://doi.org/10.1007/s00376-019-9018-9" ext-link-type="DOI">10.1007/s00376-019-9018-9</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Li, Y., Thompson, D. W. J., Stephens, G. L., and Bony, S.: A global survey of the instantaneous linkages between cloud vertical structure and large-scale climate, J. Geophys. Res.-Atmos., 119, 3770–3792, <ext-link xlink:href="https://doi.org/10.1002/2013JD020669" ext-link-type="DOI">10.1002/2013JD020669</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Liu, B., Ma, X., Ma, Y., Li, H., Jin, S., Fan, R., and Gong, W.: The relationship between atmospheric boundary layer and temperature inversion layer and their aerosol capture capabilities, Atmos. Res., 271, 106121, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2022.106121" ext-link-type="DOI">10.1016/j.atmosres.2022.106121</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Luo, Y., Wang, S., Zhang, L., Tian, B., Jia, J., Sun, W., Wu, X., Ding, M., and Zuo, Z.: Comparative evaluation of reanalysis-derived temperature profiles and low-level temperature inversion on the Tibetan Plateau, Res. Cold Arid Reg., <ext-link xlink:href="https://doi.org/10.1016/j.rcar.2025.08.004" ext-link-type="DOI">10.1016/j.rcar.2025.08.004</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Ma, Y., Huang, X.-D., Yang, X.-L., Li, Y.-X., Wang, Y.-L., and Liang, T.-G.: Mapping snow depth distribution from 1980 to 2020 on the Tibetan Plateau using multi-source remote sensing data and downscaling techniques, ISPRS J. Photogramm. Remote Sens., 205, 246–262, <ext-link xlink:href="https://doi.org/10.1016/j.isprsjprs.2023.10.012" ext-link-type="DOI">10.1016/j.isprsjprs.2023.10.012</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Meier, R., Davin, E. L., Bonan, G. B., Lawrence, D. M., Hu, X., Duveiller, G., Prigent, C., and Seneviratne, S. I.: Impacts of a revised surface roughness parameterization in the Community Land Model 5.1, Geosci. Model Dev., 15, 2365–2393, <ext-link xlink:href="https://doi.org/10.5194/gmd-15-2365-2022" ext-link-type="DOI">10.5194/gmd-15-2365-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>Ning, G., Wang, S., Yim, S. H. L., Li, J., Hu, Y., Shang, Z., Wang, J., and Wang, J.: Impact of low-pressure systems on winter heavy air pollution in the northwest Sichuan Basin, China, Atmos. Chem. Phys., 18, 13601–13615, <ext-link xlink:href="https://doi.org/10.5194/acp-18-13601-2018" ext-link-type="DOI">10.5194/acp-18-13601-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Ouyang, X., Jia, L., Pan, Y., and Hu, G.: Retrieval of land surface temperature over the Heihe River Basin using HJ-1B thermal infrared data, Remote Sens., 7, 300–318, <ext-link xlink:href="https://doi.org/10.3390/rs70100300" ext-link-type="DOI">10.3390/rs70100300</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Platnick, S., King, M. D., Ackerman, S. A., Menzel, W. P., Baum, B. A., Riedi, J. C., and Frey, R. A.: The MODIS cloud products: Algorithms and examples from Terra, IEEE Trans. Geosci. Remote Sens., 41, 459–473, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2002.808301" ext-link-type="DOI">10.1109/TGRS.2002.808301</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Saha, S., Moorthi, S., Pan, H.-L., Wu, X., Wang, J., Nadiga, S., Tripp, P., Kistler, R., Woollen, J., Behringer, D., Liu, H., Stokes, D., Grumbine, R., Gayno, G., Wang, J., Hou, Y.-T., Chuang, H.-Y., Juang, H.-M. H., Sela, J., Iredell, M., Treadon, R., Kleist, D., Van Delst, P., Keyser, D., Derber, J., Ek, M., Meng, J., Wei, H., Yang, R., Lord, S., van den Dool, H., Kumar, A., Wang, W., Long, C., Chelliah, M., Xue, Y., Huang, B., Schemm, J.-K., Ebisuzaki, W., Lin, R., Xie, P., Chen, M., Zhou, S., Higgins, W., Zou, C.-Z., Liu, Q., Chen, Y., Han, Y., Cucurull, L., Reynolds, R. W., Rutledge, G., and Goldberg, M.: The NCEP Climate Forecast System Reanalysis, Bull. Am. Meteorol. Soc., 91, 1015–1058, <ext-link xlink:href="https://doi.org/10.1175/2010BAMS3001.1" ext-link-type="DOI">10.1175/2010BAMS3001.1</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Santer, B. D., Po-Chedley, S., Zelinka, M. D., Cvijanovic, I., Bonfils, C., Durack, P. J., Fu, Q., Kiehl, J., Mears, C., Painter, J., Pallotta, G., Solomon, S., Wentz, F. J., and Zou, C.-Z.: Human influence on the seasonal cycle of tropospheric temperature, Science, 361, eaas8806, <ext-link xlink:href="https://doi.org/10.1126/science.aas8806" ext-link-type="DOI">10.1126/science.aas8806</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Schwarz, N., Lautenbach, S., and Seppelt, R.: Exploring indicators for quantifying surface urban heat islands of European cities with MODIS land surface temperatures, Remote Sens. Environ., 115, 3175–3186, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2011.07.003" ext-link-type="DOI">10.1016/j.rse.2011.07.003</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Seeley, J. T. and Wordsworth, R. D.: Episodic deluges in simulated hothouse climates, Nature, 599, 74–79, <ext-link xlink:href="https://doi.org/10.1038/s41586-021-03919-z" ext-link-type="DOI">10.1038/s41586-021-03919-z</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Seidel, D. J., Li, J., Mears, C., Moradi, I., Nash, J., Randel, W. J., Saunders, R., Thompson, D. W. J., and Zou, C.-Z.: Stratospheric temperature changes during the satellite era, J. Geophys. Res.-Atmos., 121, 664–681, <ext-link xlink:href="https://doi.org/10.1002/2015JD024039" ext-link-type="DOI">10.1002/2015JD024039</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Sobrino, J. A., Jiménez-Muñoz, J. C., Mattar, C., and Sòria, G.: Evaluation of Terra/MODIS atmospheric profiles product (MOD07) over the Iberian Peninsula: A comparison with radiosonde stations, Int. J. Digit. Earth, 8, 771–783, <ext-link xlink:href="https://doi.org/10.1080/17538947.2014.936973" ext-link-type="DOI">10.1080/17538947.2014.936973</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Song, Z., Bai, W., Zhang, Y., Wang, Y., Xu, X., and Xin, J.: Evaluation of satellite-derived atmospheric temperature and humidity profiles and their application as precursors to severe convective precipitation, Remote Sens., 16, 4638, <ext-link xlink:href="https://doi.org/10.3390/rs16244638" ext-link-type="DOI">10.3390/rs16244638</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Tan, J., Che, T., Wang, J., Liang, J., Zhang, Y., and Ren, Z.: Reconstruction of the daily MODIS land surface temperature product using the two-step improved similar pixels method, Remote Sens., 13, 1671, <ext-link xlink:href="https://doi.org/10.3390/rs13091671" ext-link-type="DOI">10.3390/rs13091671</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Thorne, P. W., Lanzante, J. R., Peterson, T. C., Seidel, D. J., and Shine, K. P.: Tropospheric temperature trends: History of an ongoing controversy, WIREs Clim. Change, 2, 66–88, <ext-link xlink:href="https://doi.org/10.1002/wcc.80" ext-link-type="DOI">10.1002/wcc.80</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><mixed-citation>Xie, Y., Huang, X., Chen, X., L'Ecuyer, T. S., and Drouin, B. J.: Joint use of far-infrared and mid-infrared observation for sounding retrievals: Learning from the past for upcoming far-infrared missions, Earth Space Sci., 10, e2022EA002684, <ext-link xlink:href="https://doi.org/10.1029/2022EA002684" ext-link-type="DOI">10.1029/2022EA002684</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><mixed-citation>Xue, Y., Zhu, X., Wu, Z., and Duan, S.-B.: Retrieval of land surface temperature over mountainous areas using Fengyun-3D MERSI-II data, Remote Sens., 15, 5465, <ext-link xlink:href="https://doi.org/10.3390/rs15235465" ext-link-type="DOI">10.3390/rs15235465</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><mixed-citation>Yuan, B., Li, X., Zhou, L., Bai, T., Hu, T., Huang, J., Liu, D., Li, Y., and Guo, J.: Global distinct variations of surface urban heat islands in inter- and intra-cities revealed by local climate zones and seamless daily land surface temperature data, ISPRS J. Photogramm. Remote Sens., 204, 1–14, <ext-link xlink:href="https://doi.org/10.1016/j.isprsjprs.2023.08.012" ext-link-type="DOI">10.1016/j.isprsjprs.2023.08.012</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><mixed-citation>Zeng, H., Tian, P., Zhang, M., Cao, X., Liang, J., and Zhang, L.: Rapid change in surface-based temperature inversions across the world during the last three decades, J. Appl. Meteorol. Climatol., 61, 175–184, <ext-link xlink:href="https://doi.org/10.1175/JAMC-D-21-0093.1" ext-link-type="DOI">10.1175/JAMC-D-21-0093.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>Zhang, A. and Zhang, X.: Landsat-8-based land surface temperature inversion and comparative analysis with MODIS temperature product, J. Beijing For. Univ., 41, 1–13, <ext-link xlink:href="https://doi.org/10.13332/j.1000-1522.20180234" ext-link-type="DOI">10.13332/j.1000-1522.20180234</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Zhang, L., Ding, M., Zheng, X., Chen, J., Guo, J., and Bian, L.: Assessment of AIRS Version 7 temperature profiles and low-level inversions with GRUAN radiosonde observations in the Arctic, Remote Sens., 15, 1270, <ext-link xlink:href="https://doi.org/10.3390/rs15051270" ext-link-type="DOI">10.3390/rs15051270</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Zhang, W., Zhang, B., Zhu, W., Tang, X., Li, F., Liu, X., and Yu, Q.: Comprehensive assessment of MODIS-derived near-surface air temperature using wide elevation-spanned measurements in China, Sci. Total Environ., 800, 149535, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2021.149535" ext-link-type="DOI">10.1016/j.scitotenv.2021.149535</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><mixed-citation>Zhang, W., Zhao, J., Zhu, W., Kong, Y., Wan, B., and Liao, Y.: Comprehensive validation of MODIS-derived instantaneous air temperature and daily minimum temperature at nighttime, Remote Sens., 17, 1732, <ext-link xlink:href="https://doi.org/10.3390/rs17101732" ext-link-type="DOI">10.3390/rs17101732</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><mixed-citation>Zhang, Y., Zhang, B., and Yang, N.: Characteristics of temperature and humidity inversions based on high-resolution radiosonde observations at three Arctic stations, J. Appl. Meteorol. Climatol., 61, 415–428, <ext-link xlink:href="https://doi.org/10.1175/JAMC-D-21-0054.1" ext-link-type="DOI">10.1175/JAMC-D-21-0054.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><mixed-citation>Zhao, L., Lee, X., Smith, R. B., and Oleson, K.: Strong contributions of local background climate to urban heat islands, Nature, 511, 216–219, <ext-link xlink:href="https://doi.org/10.1038/nature13462" ext-link-type="DOI">10.1038/nature13462</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>Zhao, X., Liu, C., Yang, N., and Li, Y.: Diurnal and seasonal variations of surface energy and CO<sub>2</sub> fluxes over a site in the western Tibetan Plateau, Atmosphere, 11, 260, <ext-link xlink:href="https://doi.org/10.3390/atmos11030260" ext-link-type="DOI">10.3390/atmos11030260</ext-link>, 2020. </mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Zhu, W., Lü, A., Jia, S., Yan, J., and Mahmood, R.: Retrievals of all-weather daytime air temperature from MODIS products, Remote Sens. Environ., 189, 152–163, <ext-link xlink:href="https://doi.org/10.1016/j.rse.2016.11.011" ext-link-type="DOI">10.1016/j.rse.2016.11.011</ext-link>, 2017.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Comprehensive validation of MODIS atmospheric temperature profile data across mainland China using sounding observations</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
      
Barlow, J. F., Halios, C. H., Lane, S. E., and Wood, C. R.: Observations of urban boundary layer structure during a strong urban heat island event, Environ. Fluid Mech., 15, 373–398, <a href="https://doi.org/10.1007/s10652-014-9335-6" target="_blank">https://doi.org/10.1007/s10652-014-9335-6</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
      
Borbas, E. E., Seemann, S. W., Kern, A., Moy, L., Li, J., Gumley, L. E., and Menzel, W. P.: MODIS Atmospheric Profile Retrieval Algorithm Theoretical Basis Document, Collection 6, Version 7, University of Wisconsin–Madison, Madison, WI, <a href="https://modis-images.gsfc.nasa.gov/_docs/MOD07_atbd_v7_April2011.pdf" target="_blank"/> (last access: 10 September 2026), 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
      
Che, J. and Zhao, P.: Characteristics of the summer atmospheric boundary layer height over the Tibetan Plateau and influential factors, Atmos. Chem. Phys., 21, 5253–5268, <a href="https://doi.org/10.5194/acp-21-5253-2021" target="_blank">https://doi.org/10.5194/acp-21-5253-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
      
Chen, G., Zhang, X., and Fu, Y.: Diurnal variation in clouds and radiative budgets over the Tibetan Plateau during summer using CERES data, J. Geophys. Res.-Atmos., 127, e2021JD036329, <a href="https://doi.org/10.1029/2021JD036329" target="_blank">https://doi.org/10.1029/2021JD036329</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
      
Chen, S., Hu, D., Wong, M. S., Ren, H., Cao, S., Yu, C., and Ho, H. C.: Characterizing spatiotemporal dynamics of anthropogenic heat fluxes: A 20-year case study in Beijing–Tianjin–Hebei region in China, Environ. Pollut., 249, 923–931, <a href="https://doi.org/10.1016/j.envpol.2019.03.113" target="_blank">https://doi.org/10.1016/j.envpol.2019.03.113</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
      
Chen, X., Škerlak, B., Rotach, M. W., Añel, J. A., Su, Z., Ma, Y., and Li, M.: Reasons for the extremely high-ranging planetary boundary layer over the western Tibetan Plateau in winter, J. Atmos. Sci., 73, 2021–2038, <a href="https://doi.org/10.1175/JAS-D-15-0148.1" target="_blank">https://doi.org/10.1175/JAS-D-15-0148.1</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
      
Cheng, J., Zeng, Q., Sun, H., Guo, Y., Yang, F., Guo, M., and Wu, C.: A global 1&thinsp;km resolution daily surface longwave radiation product from MODIS satellite data from 2000–2023, Sci. Data, 12, 736, <a href="https://doi.org/10.1038/s41597-025-05076-8" target="_blank">https://doi.org/10.1038/s41597-025-05076-8</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
      
Coll, C., Caselles, V., Valor, E., and Niclòs, R.: Comparison between different sources of atmospheric profiles for land surface temperature retrieval from single channel thermal infrared data, Remote Sens. Environ., 117, 199–210, <a href="https://doi.org/10.1016/j.rse.2011.09.018" target="_blank">https://doi.org/10.1016/j.rse.2011.09.018</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
      
Dessler, A. E. and Davis, S. M.: Trends in tropospheric humidity from reanalysis systems, J. Geophys. Res.-Atmos., 115, D19127, <a href="https://doi.org/10.1029/2010JD014192" target="_blank">https://doi.org/10.1029/2010JD014192</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
      
Feng, X., Wei, S., and Wang, S.: Temperature inversions in the atmospheric boundary layer and lower troposphere over the Sichuan Basin, China: Climatology and impacts on air pollution, Sci. Total Environ., 726, 138579, <a href="https://doi.org/10.1016/j.scitotenv.2020.138579" target="_blank">https://doi.org/10.1016/j.scitotenv.2020.138579</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
      
Feng, X., Zhang, Z., Guo, J., and Wang, S.: Multilayer inversion formation and evolution during persistent heavy air pollution events in the Sichuan Basin, China, Atmos. Res., 286, 106691, <a href="https://doi.org/10.1016/j.atmosres.2023.106691" target="_blank">https://doi.org/10.1016/j.atmosres.2023.106691</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
      
Galfi, V. M. and Lucarini, V.: Fingerprinting heatwaves and cold spells and assessing their response to climate change using large deviation theory, Phys. Rev. Lett., 127, 058701, <a href="https://doi.org/10.1103/PhysRevLett.127.058701" target="_blank">https://doi.org/10.1103/PhysRevLett.127.058701</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
      
Gelaro, R., McCarty, W., Suárez, M. J., Todling, R., Molod, A., Takacs, L., Randles, C. A., Darmenov, A., Bosilovich, M. G., Reichle, R., Wargan, K., Coy, L., Cullather, R., Draper, C., Akella, S., Buchard, V., Conaty, A., da Silva, A. M., Gu, W., Kim, G.-K., Koster, R., Lucchesi, R., Merkova, D., Nielsen, J. E., Partyka, G., Pawson, S., Putman, W., Rienecker, M., Schubert, S. D., Sienkiewicz, M., and Zhao, B.: The Modern-Era Retrospective Analysis for Research and Applications, Version 2 (MERRA-2), J. Climate, 30, 5419–5454, <a href="https://doi.org/10.1175/JCLI-D-16-0758.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0758.1</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
      
Gopikrishnan, G. S., Kuttippurath, J., Thapliyal, P. K., and Shukla, M. V.: Validation of INSAT-3D and INSAT-3DR temperature profile retrievals using ground-based, satellite, and reanalysis data, J. Geophys. Res.-Atmos., 128, e2023JD038912, <a href="https://doi.org/10.1029/2023JD038912" target="_blank">https://doi.org/10.1029/2023JD038912</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
      
Grimmond, C. S. B., Roth, M., Oke, T. R., Au, Y. C., Best, M., Betts, R., Carmichael, G., Cleugh, H., Dabberdt, W., Emmanuel, R., Freitas, E., Fortuniak, K., Hanna, S., Klein, P., Kalkstein, L. S., Liu, C. H., Nickson, A., Pearlmutter, D., Sailor, D., and Voogt, J.: Climate and more sustainable cities: Climate information for improved planning and management of cities (producers/capabilities perspective), Procedia Environ. Sci., 1, 247–274, <a href="https://doi.org/10.1016/j.proenv.2010.09.016" target="_blank">https://doi.org/10.1016/j.proenv.2010.09.016</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
      
Guo, J., Miao, Y., Zhang, Y., Liu, H., Li, Z., Zhang, W., He, J., Lou, M., Yan, Y., Bian, L., and Zhai, P.: The climatology of planetary boundary layer height in China derived from radiosonde and reanalysis data, Atmos. Chem. Phys., 16, 13309–13319, <a href="https://doi.org/10.5194/acp-16-13309-2016" target="_blank">https://doi.org/10.5194/acp-16-13309-2016</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
      
Guo, J., Su, T., Li, Z., Miao, Y., Li, J., Liu, H., Xu, H., Cribb, M., and Zhai, P.: Declining frequency of summertime local-scale precipitation over eastern China from 1970 to 2010 and its potential link to aerosols, Geophys. Res. Lett., 44, 5700–5708, <a href="https://doi.org/10.1002/2017GL073533" target="_blank">https://doi.org/10.1002/2017GL073533</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
      
Guo, J., Chen, X., Su, T., Liu, L., Zheng, Y., Chen, D., Li, J., Xu, H., Lv, Y., He, B., Li, Y., Hu, X.-M., Ding, A., and Zhai, P.: The climatology of lower tropospheric temperature inversions in China from radiosonde measurements: Roles of black carbon, local meteorology, and large-scale subsidence, J. Climate, 33, 9327–9350, <a href="https://doi.org/10.1175/JCLI-D-19-0278.1" target="_blank">https://doi.org/10.1175/JCLI-D-19-0278.1</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
      
Harris, I., Osborn, T. J., Jones, P., and Lister, D.: Version 4 of the CRU TS monthly high-resolution gridded multivariate climate dataset, Sci. Data, 7, 109, <a href="https://doi.org/10.1038/s41597-020-0453-3" target="_blank">https://doi.org/10.1038/s41597-020-0453-3</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
      
He, G., He, C., Wang, H., Lu, X., Pei, C., Qiu, X., Liu, C., Wang, Y., Liu, N., Zhang, J., Lei, L., Liu, Y., Wang, H., Deng, T., Fan, Q., and Fan, S.: Nighttime ozone in the lower boundary layer: insights from 3-year tower-based measurements in South China and regional air quality modeling, Atmos. Chem. Phys., 23, 13107–13124, <a href="https://doi.org/10.5194/acp-23-13107-2023" target="_blank">https://doi.org/10.5194/acp-23-13107-2023</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
      
Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: The ERA5 global reanalysis, Q. J. R. Meteorol. Soc., 146, 1999–2049, <a href="https://doi.org/10.1002/qj.3803" target="_blank">https://doi.org/10.1002/qj.3803</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
      
Huang, F., Zhan, W., Wang, Z.-H., Voogt, J., Hu, L., Quan, J., Liu, C., Zhang, N., and Lai, J.: Satellite identification of atmospheric-surface-subsurface urban heat islands under clear sky, Remote Sens. Environ., 250, 112039, <a href="https://doi.org/10.1016/j.rse.2020.112039" target="_blank">https://doi.org/10.1016/j.rse.2020.112039</a>, 2020a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
      
Huang, G., Chen, Y., Li, Z., Liu, Q., Wang, Y., He, Q., Liu, T., Liu, X., Zhang, Y., Gao, J., and Yao, Y.: Validation and accuracy analysis of the Collection 6.1 MODIS aerosol optical depth over the westernmost city in China based on Sun–Sky Radiometer observations from SONET, Earth Space Sci., 7, e2019EA001041, <a href="https://doi.org/10.1029/2019EA001041" target="_blank">https://doi.org/10.1029/2019EA001041</a>, 2020b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
      
Huang, Q., Chu, Y., and Li, Q.: Climatology of low-level temperature inversions over China based on high-resolution radiosonde measurements, Theor. Appl. Climatol., 144, 415–429, <a href="https://doi.org/10.1007/s00704-021-03536-w" target="_blank">https://doi.org/10.1007/s00704-021-03536-w</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
      
Kaushal, S., Singh, D. K., and Sreenivas, K. R.: Penetrative convection in nocturnal atmospheric boundary layer and radiation fog, arXiv [preprint], <a href="https://doi.org/10.48550/arXiv.2209.13185" target="_blank">https://doi.org/10.48550/arXiv.2209.13185</a>, 27 September 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
      
King, M. D., Menzel, W. P., Kaufman, Y. J., Tanré, D., Gao, B. C., Platnick, S., Ackerman, S. A., Remer, L. A., Pincus, R., and Hubanks, P. A.: Cloud and aerosol properties, precipitable water, and profiles of temperature and water vapor from MODIS, IEEE Trans. Geosci. Remote Sens., 41, 442–458, <a href="https://doi.org/10.1109/TGRS.2002.808226" target="_blank">https://doi.org/10.1109/TGRS.2002.808226</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
      
Leng, P., Liao, Q.-Y., Gao, M.-F., Duan, S.-B., Li, Z.-L., Zhang, X., and Shang, G.-F.: A full satellite-driven method for the retrieval of clear-sky evapotranspiration, Earth Space Sci., 6, 2251–2262, <a href="https://doi.org/10.1029/2019EA000869" target="_blank">https://doi.org/10.1029/2019EA000869</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
      
Li, H., Liu, B., Gong, W., Ma, Y., Jin, S., Wang, W., Fan, R., and Jiang, S.: Influence of clouds on planetary boundary layer height: A comparative study and factors analysis, Atmos. Res., 314, 107784, <a href="https://doi.org/10.1016/j.atmosres.2024.107784" target="_blank">https://doi.org/10.1016/j.atmosres.2024.107784</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
      
Li, J., Chen, H., Li, Z., Wang, P., Fan, X., He, W., and Zhang, J.: Analysis of low-level temperature inversions and their effects on aerosols in the lower atmosphere, Adv. Atmos. Sci., 36, 1235–1250, <a href="https://doi.org/10.1007/s00376-019-9018-9" target="_blank">https://doi.org/10.1007/s00376-019-9018-9</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
      
Li, Y., Thompson, D. W. J., Stephens, G. L., and Bony, S.: A global survey of the instantaneous linkages between cloud vertical structure and large-scale climate, J. Geophys. Res.-Atmos., 119, 3770–3792, <a href="https://doi.org/10.1002/2013JD020669" target="_blank">https://doi.org/10.1002/2013JD020669</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
      
Liu, B., Ma, X., Ma, Y., Li, H., Jin, S., Fan, R., and Gong, W.: The relationship between atmospheric boundary layer and temperature inversion layer and their aerosol capture capabilities, Atmos. Res., 271, 106121, <a href="https://doi.org/10.1016/j.atmosres.2022.106121" target="_blank">https://doi.org/10.1016/j.atmosres.2022.106121</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
      
Luo, Y., Wang, S., Zhang, L., Tian, B., Jia, J., Sun, W., Wu, X., Ding, M., and Zuo, Z.: Comparative evaluation of reanalysis-derived temperature profiles and low-level temperature inversion on the Tibetan Plateau, Res. Cold Arid Reg., <a href="https://doi.org/10.1016/j.rcar.2025.08.004" target="_blank">https://doi.org/10.1016/j.rcar.2025.08.004</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
      
Ma, Y., Huang, X.-D., Yang, X.-L., Li, Y.-X., Wang, Y.-L., and Liang, T.-G.: Mapping snow depth distribution from 1980 to 2020 on the Tibetan Plateau using multi-source remote sensing data and downscaling techniques, ISPRS J. Photogramm. Remote Sens., 205, 246–262, <a href="https://doi.org/10.1016/j.isprsjprs.2023.10.012" target="_blank">https://doi.org/10.1016/j.isprsjprs.2023.10.012</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
      
Meier, R., Davin, E. L., Bonan, G. B., Lawrence, D. M., Hu, X., Duveiller, G., Prigent, C., and Seneviratne, S. I.: Impacts of a revised surface roughness parameterization in the Community Land Model 5.1, Geosci. Model Dev., 15, 2365–2393, <a href="https://doi.org/10.5194/gmd-15-2365-2022" target="_blank">https://doi.org/10.5194/gmd-15-2365-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
      
Ning, G., Wang, S., Yim, S. H. L., Li, J., Hu, Y., Shang, Z., Wang, J., and Wang, J.: Impact of low-pressure systems on winter heavy air pollution in the northwest Sichuan Basin, China, Atmos. Chem. Phys., 18, 13601–13615, <a href="https://doi.org/10.5194/acp-18-13601-2018" target="_blank">https://doi.org/10.5194/acp-18-13601-2018</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
      
Ouyang, X., Jia, L., Pan, Y., and Hu, G.: Retrieval of land surface temperature over the Heihe River Basin using HJ-1B thermal infrared data, Remote Sens., 7, 300–318, <a href="https://doi.org/10.3390/rs70100300" target="_blank">https://doi.org/10.3390/rs70100300</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
      
Platnick, S., King, M. D., Ackerman, S. A., Menzel, W. P., Baum, B. A., Riedi, J. C., and Frey, R. A.: The MODIS cloud products: Algorithms and examples from Terra, IEEE Trans. Geosci. Remote Sens., 41, 459–473, <a href="https://doi.org/10.1109/TGRS.2002.808301" target="_blank">https://doi.org/10.1109/TGRS.2002.808301</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
      
Saha, S., Moorthi, S., Pan, H.-L., Wu, X., Wang, J., Nadiga, S., Tripp, P., Kistler, R., Woollen, J., Behringer, D., Liu, H., Stokes, D., Grumbine, R., Gayno, G., Wang, J., Hou, Y.-T., Chuang, H.-Y., Juang, H.-M. H., Sela, J., Iredell, M., Treadon, R., Kleist, D., Van Delst, P., Keyser, D., Derber, J., Ek, M., Meng, J., Wei, H., Yang, R., Lord, S., van den Dool, H., Kumar, A., Wang, W., Long, C., Chelliah, M., Xue, Y., Huang, B., Schemm, J.-K., Ebisuzaki, W., Lin, R., Xie, P., Chen, M., Zhou, S., Higgins, W., Zou, C.-Z., Liu, Q., Chen, Y., Han, Y., Cucurull, L., Reynolds, R. W., Rutledge, G., and Goldberg, M.: The NCEP Climate Forecast System Reanalysis, Bull. Am. Meteorol. Soc., 91, 1015–1058, <a href="https://doi.org/10.1175/2010BAMS3001.1" target="_blank">https://doi.org/10.1175/2010BAMS3001.1</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
      
Santer, B. D., Po-Chedley, S., Zelinka, M. D., Cvijanovic, I., Bonfils, C., Durack, P. J., Fu, Q., Kiehl, J., Mears, C., Painter, J., Pallotta, G., Solomon, S., Wentz, F. J., and Zou, C.-Z.: Human influence on the seasonal cycle of tropospheric temperature, Science, 361, eaas8806, <a href="https://doi.org/10.1126/science.aas8806" target="_blank">https://doi.org/10.1126/science.aas8806</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
      
Schwarz, N., Lautenbach, S., and Seppelt, R.: Exploring indicators for quantifying surface urban heat islands of European cities with MODIS land surface temperatures, Remote Sens. Environ., 115, 3175–3186, <a href="https://doi.org/10.1016/j.rse.2011.07.003" target="_blank">https://doi.org/10.1016/j.rse.2011.07.003</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
      
Seeley, J. T. and Wordsworth, R. D.: Episodic deluges in simulated hothouse climates, Nature, 599, 74–79, <a href="https://doi.org/10.1038/s41586-021-03919-z" target="_blank">https://doi.org/10.1038/s41586-021-03919-z</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
      
Seidel, D. J., Li, J., Mears, C., Moradi, I., Nash, J., Randel, W. J., Saunders, R., Thompson, D. W. J., and Zou, C.-Z.: Stratospheric temperature changes during the satellite era, J. Geophys. Res.-Atmos., 121, 664–681, <a href="https://doi.org/10.1002/2015JD024039" target="_blank">https://doi.org/10.1002/2015JD024039</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
      
Sobrino, J. A., Jiménez-Muñoz, J. C., Mattar, C., and Sòria, G.: Evaluation of Terra/MODIS atmospheric profiles product (MOD07) over the Iberian Peninsula: A comparison with radiosonde stations, Int. J. Digit. Earth, 8, 771–783, <a href="https://doi.org/10.1080/17538947.2014.936973" target="_blank">https://doi.org/10.1080/17538947.2014.936973</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
      
Song, Z., Bai, W., Zhang, Y., Wang, Y., Xu, X., and Xin, J.: Evaluation of satellite-derived atmospheric temperature and humidity profiles and their application as precursors to severe convective precipitation, Remote Sens., 16, 4638, <a href="https://doi.org/10.3390/rs16244638" target="_blank">https://doi.org/10.3390/rs16244638</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
      
Tan, J., Che, T., Wang, J., Liang, J., Zhang, Y., and Ren, Z.: Reconstruction of the daily MODIS land surface temperature product using the two-step improved similar pixels method, Remote Sens., 13, 1671, <a href="https://doi.org/10.3390/rs13091671" target="_blank">https://doi.org/10.3390/rs13091671</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
      
Thorne, P. W., Lanzante, J. R., Peterson, T. C., Seidel, D. J., and Shine, K. P.: Tropospheric temperature trends: History of an ongoing controversy, WIREs Clim. Change, 2, 66–88, <a href="https://doi.org/10.1002/wcc.80" target="_blank">https://doi.org/10.1002/wcc.80</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
      
Xie, Y., Huang, X., Chen, X., L'Ecuyer, T. S., and Drouin, B. J.: Joint use of far-infrared and mid-infrared observation for sounding retrievals: Learning from the past for upcoming far-infrared missions, Earth Space Sci., 10, e2022EA002684, <a href="https://doi.org/10.1029/2022EA002684" target="_blank">https://doi.org/10.1029/2022EA002684</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
      
Xue, Y., Zhu, X., Wu, Z., and Duan, S.-B.: Retrieval of land surface temperature over mountainous areas using Fengyun-3D MERSI-II data, Remote Sens., 15, 5465, <a href="https://doi.org/10.3390/rs15235465" target="_blank">https://doi.org/10.3390/rs15235465</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
      
Yuan, B., Li, X., Zhou, L., Bai, T., Hu, T., Huang, J., Liu, D., Li, Y., and Guo, J.: Global distinct variations of surface urban heat islands in inter- and intra-cities revealed by local climate zones and seamless daily land surface temperature data, ISPRS J. Photogramm. Remote Sens., 204, 1–14, <a href="https://doi.org/10.1016/j.isprsjprs.2023.08.012" target="_blank">https://doi.org/10.1016/j.isprsjprs.2023.08.012</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
      
Zeng, H., Tian, P., Zhang, M., Cao, X., Liang, J., and Zhang, L.: Rapid change in surface-based temperature inversions across the world during the last three decades, J. Appl. Meteorol. Climatol., 61, 175–184, <a href="https://doi.org/10.1175/JAMC-D-21-0093.1" target="_blank">https://doi.org/10.1175/JAMC-D-21-0093.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
      
Zhang, A. and Zhang, X.: Landsat-8-based land surface temperature inversion and comparative analysis with MODIS temperature product, J. Beijing For. Univ., 41, 1–13, <a href="https://doi.org/10.13332/j.1000-1522.20180234" target="_blank">https://doi.org/10.13332/j.1000-1522.20180234</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
      
Zhang, L., Ding, M., Zheng, X., Chen, J., Guo, J., and Bian, L.: Assessment of AIRS Version 7 temperature profiles and low-level inversions with GRUAN radiosonde observations in the Arctic, Remote Sens., 15, 1270, <a href="https://doi.org/10.3390/rs15051270" target="_blank">https://doi.org/10.3390/rs15051270</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
      
Zhang, W., Zhang, B., Zhu, W., Tang, X., Li, F., Liu, X., and Yu, Q.: Comprehensive assessment of MODIS-derived near-surface air temperature using wide elevation-spanned measurements in China, Sci. Total Environ., 800, 149535, <a href="https://doi.org/10.1016/j.scitotenv.2021.149535" target="_blank">https://doi.org/10.1016/j.scitotenv.2021.149535</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
      
Zhang, W., Zhao, J., Zhu, W., Kong, Y., Wan, B., and Liao, Y.: Comprehensive validation of MODIS-derived instantaneous air temperature and daily minimum temperature at nighttime, Remote Sens., 17, 1732, <a href="https://doi.org/10.3390/rs17101732" target="_blank">https://doi.org/10.3390/rs17101732</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
      
Zhang, Y., Zhang, B., and Yang, N.: Characteristics of temperature and humidity inversions based on high-resolution radiosonde observations at three Arctic stations, J. Appl. Meteorol. Climatol., 61, 415–428, <a href="https://doi.org/10.1175/JAMC-D-21-0054.1" target="_blank">https://doi.org/10.1175/JAMC-D-21-0054.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
      
Zhao, L., Lee, X., Smith, R. B., and Oleson, K.: Strong contributions of local background climate to urban heat islands, Nature, 511, 216–219, <a href="https://doi.org/10.1038/nature13462" target="_blank">https://doi.org/10.1038/nature13462</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
      
Zhao, X., Liu, C., Yang, N., and Li, Y.: Diurnal and seasonal variations of surface energy and CO<sub>2</sub> fluxes over a site in the western Tibetan Plateau, Atmosphere, 11, 260, <a href="https://doi.org/10.3390/atmos11030260" target="_blank">https://doi.org/10.3390/atmos11030260</a>, 2020.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
      
Zhu, W., Lü, A., Jia, S., Yan, J., and Mahmood, R.: Retrievals of all-weather daytime air temperature from MODIS products, Remote Sens. Environ., 189, 152–163, <a href="https://doi.org/10.1016/j.rse.2016.11.011" target="_blank">https://doi.org/10.1016/j.rse.2016.11.011</a>, 2017.

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