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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1387672</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2024.1387672</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Comparative analysis of near-surface and surface urban heat islands in the Yangtze River Delta region</article-title>
<alt-title alt-title-type="left-running-head">Shi et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2024.1387672">10.3389/fenvs.2024.1387672</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Shi</surname>
<given-names>Xiao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2642407/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Ming</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Luo</surname>
<given-names>Xiaochun</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>China Meteorological Administration Transportation Meteorology Key Laboratory, China Meteorological Administration</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Jiangsu Meteorological Services Center, Jiangsu Provincial Meteorological Bureau</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1765879/overview">Haipeng Yu</ext-link>, Chinese Academy of Sciences (CAS), China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1741435/overview">Murat Yakar</ext-link>, Mersin University, Mersin, T&#xfc;rkiye</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2675825/overview">Shanyou Zhu</ext-link>, Nanjing University of Information Science and Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Xiaochun Luo, <email>ntlxc9@163.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>21</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1387672</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Shi, Sun and Luo.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Shi, Sun and Luo</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Compared with surface temperature, the near-surface temperature is more related with human health. However, extensive researches have been conducted on the UHI effect globally using surface temperature considering its accessibility. In this study, a comparative analysis of near-surface and surface urban heat islands in the Yangtze River Delta Region is investigated. This study first proposed a spatialization method suitable for air temperature in highly urbanized areas with complex land cover. Based on this method, a dataset of 1-km gridded air temperature is developed, and an in-depth analysis of the changes of near-surface and surface heat island is further carried out. Results show that both the near-surface urban heat island intensity (NSUHII) and surface urban heat island intensity (SUHII) are rather strong over the past 20&#xa0;years, presenting similar spatial distributions as well. However, in the rapidly expanding urban areas especially during summer and winter seasons, the difference in magnitude and time variations (R) between NSUHII and SUHII are pronounced. Hence, adaptions and mitigation strategies on NSUHI and SUHI should be developed and implemented separately in such occasions, which is especially important for developed areas such as Yangtze River Delta Region.</p>
</abstract>
<kwd-group>
<kwd>air temperature estimation</kwd>
<kwd>land surface temperature</kwd>
<kwd>random forest</kwd>
<kwd>urban heat island</kwd>
<kwd>remote sensing</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Atmosphere and Climate</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Primarily triggered by climate change and the intricate interplay between land surface and atmospheric systems, the heat island effect in urban landscapes takes shape (<xref ref-type="bibr" rid="B14">Krayenhoff et al., 2018</xref>; <xref ref-type="bibr" rid="B20">Lu et al., 2023</xref>). Climate change has led to an imbalanced distribution of water and heat, leading to a surge in extreme high-temperature occurrences in certain regions. Concurrently, as urbanization rapidly advances, urban spaces and their populations expand exponentially, accompanied by profound shifts in land-use patterns (<xref ref-type="bibr" rid="B2">Aliyaz&#x131;c&#x131;o&#x11f;lu et al., 2021</xref>; <xref ref-type="bibr" rid="B40">Topaloglu, 2022</xref>; <xref ref-type="bibr" rid="B24">Morsy and Hadi, 2022</xref>). These changes, by manipulating surface albedo and water evaporation, disrupt the equilibrium of surface heat budgets, encompassing both the sensible and latent heat exchanges between land and atmosphere, as well as vertical water vapor transport. Consequently, these alterations reshape meteorological variables like temperature and humidity within the lower atmospheric stratum. Ultimately, this gives rise to a remarkable phenomenon where urban temperatures significantly outstrip those in neighboring rural areas, thus giving birth to the urban heat island effect (UHI) (<xref ref-type="bibr" rid="B22">Manley, 1959</xref>; <xref ref-type="bibr" rid="B28">Parry&#x26; Chandler, 1966</xref>; <xref ref-type="bibr" rid="B27">Oke, 1982</xref>; <xref ref-type="bibr" rid="B54">Zhang et al., 2023</xref>). Featured by significant spatio-temporal variations and substantial side effects, the UHI effect imposes an obvious impact on regional climate, energy consumption, air pollution and human health (<xref ref-type="bibr" rid="B33">Shahmohamadi et al., 2011</xref>; <xref ref-type="bibr" rid="B55">Zhang et al., 2023</xref>). In addition, extreme weather events have become increasingly frequent under the context of climate change, which further exacerbate the UHI effect (<xref ref-type="bibr" rid="B35">Shi et al., 2021</xref>; <xref ref-type="bibr" rid="B19">Lou et al., 2023</xref>). Hence, it is crucial to accurately describe and quantify the UHI effect for the urban sustainable development.</p>
<p>In recent years, extensive researches have been conducted on the UHI effect globally (<xref ref-type="bibr" rid="B30">Ramakreshnan et al., 2019</xref>; <xref ref-type="bibr" rid="B9">Han et al., 2020</xref>; <xref ref-type="bibr" rid="B10">Hu et al., 2023</xref>). Traditional UHI studies primarily use the air temperature data observed at meteorological stations (referred to as near-surface UHIs) (<xref ref-type="bibr" rid="B17">Liu et al., 2021</xref>). The observed air temperature data have the advantages of high temporal resolution and high precision, which are widely regarded as the &#x201c;ground truth&#x201d; by scholars from various fields (<xref ref-type="bibr" rid="B42">Wang et al., 2016</xref>; <xref ref-type="bibr" rid="B1">Abbas and Ismael, 2020</xref>). However, sparsely distributed meteorological stations struggle to meet the research needs for various types of UHI effects, leading to uncertainties in the calculation of UHI effects.</p>
<p>Satellite remote sensing enables fast observation of UHI with spatio-temporal continuity. Currently, the UHI studies mostly focus on the LST-related surface heat island effect (<xref ref-type="bibr" rid="B7">Chen et al., 2016</xref>; <xref ref-type="bibr" rid="B29">Peng et al., 2016</xref>; <xref ref-type="bibr" rid="B43">Wang et al., 2021</xref>). The spatial and temporal variations of SUHI have been documented, the SUHI intensity varies greatly by cities, seasons according to previous studies (<xref ref-type="bibr" rid="B12">Imhoff et al., 2010</xref>; <xref ref-type="bibr" rid="B52">Yao et al., 2018</xref>; <xref ref-type="bibr" rid="B23">Meng et al., 2023</xref>). In addition, the long term trends of SUHI and associated drivers have been also investigated. <xref ref-type="bibr" rid="B52">Yao et al. (2018)</xref> pointed out significant increasing trends of SUHII in China and increased non-agriculture population and decreasing vegetation were important reasons for increased SUHII. <xref ref-type="bibr" rid="B43">Wang et al. (2021)</xref> pointed out anthropogenic factors are considered the most important ones in determining SUHI in the Yangtze River Delta.</p>
<p>With respect to human health and comfort, the near-surface temperature is more direct than surface temperature because human skin is directly in contact with the atmosphere rather than the land surface (<xref ref-type="bibr" rid="B4">Anniballe et al., 2014</xref>; <xref ref-type="bibr" rid="B25">Nanayakkara et al., 2023</xref>). However, there are still some gaps in studies of near-surface urban heat island, mainly because the near surface temperature cannot be retrieved by remote sensing method. Most of current studies on near-surface urban heat island are based on sparsely distributed meteorological stations, which may have some uncertainties (<xref ref-type="bibr" rid="B34">Shi et al., 2024</xref>).</p>
<p>Numerous studies have revealed a mutual interaction between the air temperature and the LST from the energy balance perspective (<xref ref-type="bibr" rid="B16">Liu et al., 2020</xref>; <xref ref-type="bibr" rid="B21">Luo et al., 2023</xref>; <xref ref-type="bibr" rid="B50">Yao, 2020</xref>). However, this interaction is relatively complex considering the physical differences and natural environments between them, which lead to discrepancies when describing the urban thermal effects, and may cause uncertainties for evaluating the impact of urbanization on environment. Weak relationships were reported in both vegetated, barren lands (<xref ref-type="bibr" rid="B44">Xiong et al., 2017</xref>) and urban area, especially during the daytime (<xref ref-type="bibr" rid="B45">Yang et al., 2020</xref>; <xref ref-type="bibr" rid="B49">Yao et al., 2021</xref>). Up to now, there is still a lack of research on comprehensively analyzing the spatio-temporal variation differences between near-surface heat island effects and surface heat island effects within the same study area from different perspectives.</p>
<p>The objective of this study is to investigate and analyze the characteristics of the near-surface UHI and surface UHI in the Yangtze River Delta region based on grid scale air temperature using machine learning method and remote sensing land surface temperatures. The remainder of this paper is organized as follows. <xref ref-type="sec" rid="s2">Section 2</xref> provides a detailed introduction to the study area, data information and methods used in this study. <xref ref-type="sec" rid="s3">Section 3</xref> analyzes the accuracy of remote sensing estimation of air temperature, and further investigates the spatial distributions, interrelationships and variation trends of near-surface UHI intensity (NSUHII) and surface UHI intensity (SUHII). <xref ref-type="sec" rid="s4">Section 4</xref> discusses the strengths and limitations of this study. Finally, the main conclusions are summarized in <xref ref-type="sec" rid="s5">Section 5</xref>.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>The Yangtze River Delta (YRD) region is located in the east of China and has an area covers 358,000 square kilometers (<xref ref-type="fig" rid="F1">Figure 1A</xref>). It is one of the three major urban agglomerations (the Beijing-Tianjin-Hebei, the Yangtze River Delta, and the Pearl River Delta) in China (<xref ref-type="bibr" rid="B18">Liu et al., 2017</xref>). The overall terrain in the northern part of the study area mainly consists of plain areas, while many mountainous areas are located in the southwestern and southeast part of the study area. The climate over the study area is dominated by the East Asian monsoon with four distinct seasons.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Study area <bold>(A)</bold> and the spatial distribution of meteorological stations <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fenvs-12-1387672-g001.tif"/>
</fig>
<p>It consists of three provinces (Jiangsu, Zhejiang and Anhui) and one municipality (Shanghai), with a total of 41 cities (<xref ref-type="fig" rid="F1">Figure 1B</xref>). Mega-cities including Shanghai, Hangzhou, Nanjing and Suzhou are located in this region, with a permanent population accounting for nearly 1/6 of the entire country and an economic aggregate constituting nearly 1/4 of the national total (<xref ref-type="bibr" rid="B38">Sun et al., 2019</xref>).</p>
<p>During the urbanization process, this region has undergone dramatic changes in land cover (<xref ref-type="bibr" rid="B13">Jin et al., 2021</xref>), where the UHI effect has also become increasingly intense and more severe. In addition, relevant studies have indicated that this region has experienced significant warming trend (<xref ref-type="bibr" rid="B35">Shi et al., 2021</xref>). Under the combined influences of climate warming and the rapid expansion of urban areas, the variations of thermal environment in this region have imposed a profound impact on both the ecological environment and social economy (<xref ref-type="bibr" rid="B43">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="B48">Yang and Pan, 2011</xref>). Hence, it is crucial to study the spatio-temporal variation characteristics of the thermal environment in this region.</p>
</sec>
<sec id="s2-2">
<title>2.2 Data</title>
<p>The maximum air temperature data for the 2001&#x2013;2018 period are obtained from 199 national ground meteorological stations, which are provided by the National Meteorological Information Center of China Meteorological Administration. This dataset was subjected to strict quality control procedures including spatial and internal consistency checks, identification of outliers, and manual revision of erroneous data (<xref ref-type="bibr" rid="B8">Chen et al., 2021</xref>). The locations of meteorological stations are shown in <xref ref-type="fig" rid="F1">Figure 1B</xref>.</p>
<p>Terra Moderate Resolution Imaging Spectroradiometer (MODIS) is a sensor onboard Terra and Aqua platforms. The MOD11A2 product is an 8-day composite dataset with a spatial resolution of 1&#xa0;km (<xref ref-type="bibr" rid="B26">Niu et al., 2020</xref>; <xref ref-type="bibr" rid="B36">Su et al., 2013</xref>; <xref ref-type="bibr" rid="B41">Wang et al., 2023</xref>). In this study, we obtained daytime LST, nighttime LST, clear_sky_days and clear_sky_nights data from MOD11A2. In addition, we calculate the rate of clear day (R<sub>D</sub>) and night (R<sub>N</sub>) from clear_sky_days and clear_sky_nights data, which are defined as the percentage of days and nights with clear sky. The surface reflectance from MOD09GA product provides the daily reflectance of bands 1&#x2013;7 with 500-m spatial resolution. It is considered to derived the normalized difference vegetation index (NDVI) and the modified normalized difference water index (MNDWI) in this study, which are input parameters to estimate the air temperature are calculated using this data. The MCD12Q1 land cover type products combined Terra and Aqua data at yearly intervals and with 500-m spatial resolution (<xref ref-type="bibr" rid="B47">Yang and Huang, 2021</xref>; <xref ref-type="bibr" rid="B11">Hua and Chen, 2013</xref>).</p>
<p>The global nighttime light data during 2001&#x2013;2018 is obtained from the National Polar-orbiting Partnership (NPP)/Visible-Infrared Imaging Radiometer Suite (VIIRS) data provided by the United States National Oceanic and Atmospheric Administration Earth Observation Group (<xref ref-type="bibr" rid="B15">Li et al., 2020</xref>). In addition, to calculate the solar radiation, which is an input parameter for remote sensing estimation, elevation data from the Shuttle Radar Topography Mission (SRTM) is also used. The data specifics used in this study are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Data and related information used in this study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variable</th>
<th align="center">Source</th>
<th align="center">Parameter</th>
<th align="center">Time period</th>
<th align="center">Spatial resolution</th>
<th align="center">Temporal resolution</th>
<th align="center">Data use</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Maximum air temperature</td>
<td align="center">Ground station</td>
<td align="center">AT</td>
<td align="center">2001&#x2013;2018</td>
<td align="center">/</td>
<td align="center">1&#xa0;day</td>
<td align="center">Input parameter of remote sensing estimation</td>
</tr>
<tr>
<td align="center">Daytime LST</td>
<td align="center">MOD11A2</td>
<td align="center">LST<sub>D</sub>
</td>
<td align="center">2001&#x2013;2018</td>
<td align="center">1&#xa0;km</td>
<td align="center">8&#xa0;days</td>
<td align="center">Input parameter of remote sensing estimation\Comparison with AT</td>
</tr>
<tr>
<td align="center">Nighttime LST</td>
<td align="center">MOD11A2</td>
<td align="center">LST<sub>N</sub>
</td>
<td align="center">2001&#x2013;2018</td>
<td align="center">1&#xa0;km</td>
<td align="center">8&#xa0;days</td>
<td rowspan="3" align="center">Input parameter of remote sensing estimation</td>
</tr>
<tr>
<td align="center">Clear_sky_days</td>
<td align="center">MOD11A2</td>
<td align="center">Rate of clear Day (R<sub>D</sub>)</td>
<td align="center">2001&#x2013;2018</td>
<td align="center">1&#xa0;km</td>
<td align="center">8&#xa0;days</td>
</tr>
<tr>
<td align="center">Clear_sky_nights</td>
<td align="center">MOD11A2</td>
<td align="center">Rate of clear night (R<sub>N</sub>)</td>
<td align="center">2001&#x2013;2018</td>
<td align="center">1&#xa0;km</td>
<td align="center">8&#xa0;days</td>
</tr>
<tr>
<td align="center">Surface reflectance</td>
<td align="center">MOD09GA</td>
<td align="center">NDVI, MNDWI</td>
<td align="center">2001&#x2013;2018</td>
<td align="center">0.5&#xa0;km</td>
<td align="center">1&#xa0;day</td>
<td align="center">Input parameter of remote sensing estimation\identification of the rural background</td>
</tr>
<tr>
<td align="center">Land cover</td>
<td align="center">MCD12Q1</td>
<td align="center">/</td>
<td align="center">2001&#x2013;2018</td>
<td align="center">0.5&#xa0;km</td>
<td align="center">1&#xa0;year</td>
<td align="center">Identification of the rural background</td>
</tr>
<tr>
<td align="center">Elevation (DEM)</td>
<td align="center">The Shuttle Radar Topography Mission (SRTM)</td>
<td align="center">extraterrestrial solar radiation</td>
<td align="center">2008</td>
<td align="center">90&#xa0;m</td>
<td align="center">/</td>
<td align="center">Input parameter of remote sensing estimation\identification of the rural background</td>
</tr>
<tr>
<td align="center">Nighttime light</td>
<td align="center">Composite NPP/VIIRS data</td>
<td align="center">/</td>
<td align="center">2001&#x2013;2018</td>
<td align="center">30&#xa0;m</td>
<td align="center">1&#xa0;year</td>
<td align="center">Identification of the rural background</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>2.3 Methods</title>
<sec id="s2-3-1">
<title>2.3.1 Air temperature estimation</title>
<p>The core principle of remote sensing estimation for air temperature is to use the relationship between station-observed air temperatures and corresponding independent variables at a certain grid point to predict the air temperature values on this grid. Specifically, the monthly-averaged maximum air temperature from meteorological observation stations is selected as the dependent variable for the estimation models. Eight different types of land surface factors (LST<sub>D</sub>, LST<sub>N</sub>, R<sub>D</sub>, R<sub>N</sub>, NDVI, MNDWI, DEM, extraterrestrial solar radiation) are chosen as independent variables in the remote sensing estimation process of air temperature.</p>
<p>Extraterrestrial solar radiation is an important parameter for evaluating solar energy resources, which refers to the solar radiation that can be received by the earth&#x2019;s surface without considering the influence of the atmosphere. Here we use the distributed modeling of extraterrestrial solar radiation over rugged terrains proposed by (<xref ref-type="bibr" rid="B53">Zeng et al., 2005</xref>) and to calculate monthly average extraterrestrial solar radiation in study area. Extraterrestrial solar radiation on the slope is determined by geography, topographic features and astronomical factors (solar declination, hour Angle). The daily extraterrestrial solar radiation is calculated as follows (Eqs <xref ref-type="disp-formula" rid="e1">1</xref>&#x2013;<xref ref-type="disp-formula" rid="e9">9</xref>):<disp-formula id="e1">
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<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="italic">sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="italic">cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="italic">cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>W<sub>s</sub> is extraterrestrial solar radiation, T is the length of 1&#xa0;day (1,140&#xa0;min), I<sub>0</sub> is solar constant (0.082&#xa0;MJ&#xb7;m<sup>&#x2212;2</sup>&#xb7;min<sup>&#x2212;1</sup>), E<sub>0</sub> is correction coefficient of sun-earth distance. u, v, and w are the feature factors related to terrain. <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the declination of the sun, &#x3c9; is the hour angle (positive to the west and negative to the east from noon in true solar time), &#x3c9;<sub>sr</sub> and &#x3c9;<sub>ss</sub> are the sunrise and sunset hours respectively.<disp-formula id="e2">
<mml:math id="m3">
<mml:mrow>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="normal">v</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b2;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m5">
<mml:mrow>
<mml:mi mathvariant="normal">w</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>The declination of the sun and correction coefficient of sun-earth distance E<sub>0</sub> can be calculated as follows:<disp-formula id="e5">
<mml:math id="m6">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3b4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.006894</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.399512</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.072075</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.006799</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.000896</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.002689</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>3</mml:mn>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.001516</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>3</mml:mn>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.000109</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.033494</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.001472</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.000768</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.000079</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>Where <inline-formula id="inf2">
<mml:math id="m8">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the daily angle and expressed in radians and can be calculated by days D<sub>n</sub>.<disp-formula id="e7">
<mml:math id="m9">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">&#x3c0;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mn>365</mml:mn>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<disp-formula id="e8">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="italic">arccos</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="italic">tan</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="italic">tan</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<disp-formula id="e9">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>Furthermore, four machine learning methods of the Multiple Linear Regression (MLR), Back-Propagation Neural Networks (BPNN), Support Vector Machine (SVM) and Random Forest (RF) are used to fit the relationship between the dependent variable and independent variables at the station scale. 10-fold cross-validation method is used to assess the fitness of selected predictors by comparing the observed and estimated air temperatures. Subsequently, the four models output four datasets of 1-km gridded monthly-averaged maximum air temperature by taking the 1-km independent variable data as the input. Since this study mainly focus on the comparison between near-surface and surface urban heat islands, detailed information about the air temperature estimation process will not be discussed in this study.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Urban heat island evaluation</title>
<p>To compare and analyze the similarities and differences between near-surface and surface heat island, NSUHII and SUHII are employed. The NSUHII and SUHII are used to quantify the near-surface and surface UHI effect, as follows (Eqs <xref ref-type="disp-formula" rid="e10">10</xref>, <xref ref-type="disp-formula" rid="e11">11</xref>):<disp-formula id="e10">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mtext>NSUHII</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mi>A</mml:mi>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
<disp-formula id="e11">
<mml:math id="m13">
<mml:mrow>
<mml:mtext>SUHI</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>Where NSUHIIi and SUHIIi refer the near-surface and surface urban heat intensity in pixel i, AT<sub>i</sub> and LST<sub>i</sub> refer the air temperature and LST in pixel i, n is the total number of rural background effective pixels. ATb<sub>j</sub> and LSTb<sub>j</sub> represent the air temperature and LST of the corresponding rural background, respectively (<xref ref-type="bibr" rid="B18">Liu et al., 2017</xref>).</p>
<p>The appropriate selection of suburban farmland background is the key to calculate urban heat island intensity. For different cities in large urban agglomerations, it is not advisable choosing the same rural background to calculate the temperature difference between urban and rural areas to get the urban heat island intensity (<xref ref-type="bibr" rid="B35">Shi et al., 2021</xref>). We use the method proposed by (<xref ref-type="bibr" rid="B18">Liu et al., 2017</xref>) to determine the farmland background pixels of each city by combining four criteria: land cover, NDVI, night light index and elevation difference relative to urban central areas. 1) In terms of land cover type, the rural area is selected as the background pixel according to the land cover type of farmland; 2) The annual maximum NDVI &#x2265;0.7 is used as the ideal value to determine the rural background; 3) The night light index &#x2264;15 identifies areas unaffected by human activity; 4) The altitude difference from the city &#x3c;50&#xa0;m is preferred to reduce the terrain effect on the heat island intensity. The spatial distributions of land cover type of 2018, annual maximum NDVI of 2018, night light index of 2018 and altitude difference from the city are shown in <xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>.</p>
</sec>
<sec id="s2-3-3">
<title>2.3.3 Trend analysis</title>
<p>The non-parametric statistics of Theil-Sen slope (<xref ref-type="bibr" rid="B32">Sen, 1968</xref>) is used to determine the linear trend of NSUHII and SUHII during 2001&#x2013;2018. It is a more robust estimator than the least-square method because it is insensitive to outliers and extreme values, which leading to the robust performance in time series variation trend estimation (<xref ref-type="bibr" rid="B39">Svilicic et al., 2016</xref>). The TS estimator is expressed as Eq. <xref ref-type="disp-formula" rid="e12">12</xref>:<disp-formula id="e12">
<mml:math id="m14">
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>where median denotes the median function, x<sub>i</sub> and x<sub>j</sub> are the data values at times i and j, respectively, and t<sub>i</sub> and t<sub>j</sub> are the corresponding time series with lengths of n and i &#x3c; j &#x3c; n, respectively.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Accuracy analysis of estimation results</title>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> shows the density scatter plot between estimated air temperature data and the referenced air temperature data. Apparently, the linear relationship of these four scatter plots are close to 1:1 lines and the variation ranges of air temperature are similar. However, the outliers of RF method seems to be least among the other three methods, indicating the relatively higher estimated accuracy. The 10-fold cross-validation accuracies of the 1-km gridded air temperature data estimated using four methods (<xref ref-type="fig" rid="F2">Figure 2</xref>) also demonstrate that the RF model outperforms three other models with highest correlation coefficient, least MAE and RMSE. In addition, the spatial distributions of RF-based estimation also indicate that the results are more reasonable than other three methods (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>10-fold cross-validation accuracies of air temperature estimation based on MLR <bold>(A)</bold>, BPNN <bold>(B)</bold>, SVM <bold>(C)</bold> and RF <bold>(D)</bold> methods.</p>
</caption>
<graphic xlink:href="fenvs-12-1387672-g002.tif"/>
</fig>
<p>Based on the observations from 199 meteorological stations, the accuracy of the 1-km gridded air temperature data estimated using the RF is assessed, as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. It can be seen that the MAEs and RMSEs are relatively smaller over the entire study area. Particularly, the MAEs and RMSEs in the majority areas of Jiangsu Province are relatively smaller than in Zhejiang Province. This may be attributed to the uniform underlying surface in Jiangsu Province where most areas are relatively flat plains, which is conducive to improving the accuracy of the RF-based estimation model. While the larger MAEs and RMSEs in the southern part of Zhejiang Province are mainly associated with its complex terrains due to numerous mountain ranges. The R values between the estimations and the observations at all stations in the study area are quite high, with the values exceeding 0.995 at most stations. It indicates a good consistency in the temporal variations of air temperature between the estimations and the observations. Consequently, the 1-km gridded air temperature data derived from RF model proves to be an ideal choice for studying the UHIs.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Spatial distributions of maximum air temperature estimation accuracy based on random forest: <bold>(A)</bold> MAE, <bold>(B)</bold> RMSE, <bold>(C)</bold> R.</p>
</caption>
<graphic xlink:href="fenvs-12-1387672-g003.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Spatial distributions of NSUHII and SUHII</title>
<p>Using the 1-km gridded air temperature data from air temperature estimation and daytime LST data from the 8-day composite (MODIS) LST product, monthly average NSUHII and SUHII can be derived. <xref ref-type="fig" rid="F4">Figure 4</xref> illustrates the spatial distributions of NSUHII and SUHII in the study area during 2001&#x2013;2018. In general, both NSUHII and SUHII are rather strong in the study area over the past 20&#xa0;years, presenting similar spatial distributions. Higher UHI effect are observed over the YRD core cities such as Shanghai, Nanjing, Taizhou, indicating that both the air temperatures and near surface temperatures in these areas are higher than those of farmland background areas. Noticeable cool island effect is found in mountainous areas, demonstrating the relatively lower temperature compared with those of farmland background areas. However, the SUHII exhibits higher intensity and a broader range of both heat and cool island effects than the NSUHII. The highest NSUHII is recorded in Shanghai City, reaching up to 2.8&#xb0;C while the highest value of SUHII is found in Taizhou City with SUHII value up to 4.8&#xb0;C. In addition, the cool island effect of surface temperature is more pronounced over water bodies compare with near surface temperature.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Spatial distributions of NSUHII <bold>(A)</bold> and SUHII <bold>(B)</bold> during 2001&#x2013;2018.</p>
</caption>
<graphic xlink:href="fenvs-12-1387672-g004.tif"/>
</fig>
<p>Previous studies have demonstrated that the LST and air temperature are both representations of thermal environment, which impact each other through the land-atmosphere interaction. To better understand the relationship between the SUHII and NSUHII, this study calculates the annual mean differences and monthly correlation coefficient (R) between the two. <xref ref-type="fig" rid="F5">Figure 5A</xref> reveals that in most areas, the annual mean SUHII is higher than the annual mean NSUHII, with the major differences ranging from 0&#xb0;C to 2&#xb0;C. The instances where the NSUHII is significantly higher than the SUHII (&#x2212;2&#x223c; &#x2212;6&#xb0;C) are mainly observed in areas with water bodies as the dominant land cover. The reason may be that the cooling effect of water bodies on the LST is relatively direct and pronounced, while the air temperature above water bodies is regulated by the process of latent heat exchange through evaporation, which is relatively indirect and slow. It is also evident that pixels with the SUHII significantly higher than the NSUHII are mainly located in the central urban areas of the core cities in the YRD region (Shanghai, Wuxi, Hangzhou, etc.). Due to the rapid urbanization in these regions, the impervious surfaces are rapidly expanded, which also leads to a great difference between the SUHII and NSUHII. The largest differences between the two are found in summer, while their values are relatively similar in winter, as shown in <xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>. The seasonal variation is also related to the increase in total radiation in summer. The increase in radiation results in the enhanced radiation absorbed by impervious surfaces, leading to a significant LST increase. However, the increase in radiation has no significant impact on the air temperature increase, thereby causing a larger difference between the two in summer.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> Spatial distribution of differences between the annual mean SUHII and NSUHII during 2001&#x2013;2018. <bold>(B)</bold> Spatial distribution of correlation coefficients between the annual SUHII and NSUHII from 2001 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-12-1387672-g005.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figure 5B</xref> displays the spatial distribution of R between annual mean SUHII and NSUHII in the study area from 2001 to 2018. In terms of the R between annual mean SUHII and NSUHII, it is found that the SUHII and NSUHII are positively correlated in most regions, with the R values being rather high (R &#x3e; 0.6). The R values larger than 0.9 are primarily in the southern part of the study area, mainly caused by the higher values in spring (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>). In contrast, the R values are smaller (0 &#x3c; R &#x3c; 0.3) in the core cities of the YRD region, indicating that there is a certain degree of correlation in the temporal variation between the SUHII and NSUHII in this region, but there are still some differences. The correlations are the weakest in winter, while strongest in spring (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>). It is attributed to the fact that the atmospheric circulation that affects the energy transfer between the surface and near-surface is relatively weaker in winter, resulting a weaker interaction between SUHII and NSUHII. While in summer, the temperature background field is too dominant, diminishing the influence of LST on air temperature. In contrast, the temperature background field is weaker in spring, and the temperature fluctuations are pronounced, resulting in the strongest values.</p>
</sec>
<sec id="s3-3">
<title>3.3 Temporal variations in NSUHII and SUHII</title>
<p>To better understand the variation characteristics in the long-term time series of NSUHII and SUHII as well as the differences in between, the Theil-Sen slopes of NSUHII and SUHII during 2001&#x2013;2018 are calculated in the study area, as shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. Positive (negative) trends indicate that the warming rate of air temperature in pixels is higher (lower) than that of corresponding pixels under agricultural background.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Spatial distributions for Theil-Sen slopes of annual average NSUHII <bold>(A)</bold> and SUHII <bold>(B)</bold> from 2001 to 2018.</p>
</caption>
<graphic xlink:href="fenvs-12-1387672-g006.tif"/>
</fig>
<p>In the study area, the variation trends of NSUHII present an uneven distribution, with most regions showing relatively weak warming trends (0&#x2013;0.03&#xb0;C/yr). Specifically, the warming trends in most of the northern part are slightly higher than those of farmland background areas. Regions with a rapid increase (0.03&#x2013;0.09&#xb0;C/yr) in NSUHII are scatteredly distributed in a few areas of each city. Particularly, the areas with rapid increases (&#x3e;0.09&#xb0;C/yr) in NSUHII are mainly located in parts of Chizhou and Taizhou Cities in the central and southern parts of the study area, suggesting that the warming rates in these areas are significantly higher than those of farmland background areas. Areas with a cooling trend are mainly found in mountainous regions, with the trend values exceeding &#x2212;0.06&#xb0;C/yr.</p>
<p>Compared with the NSUHII, the urban heat island phenomenon is more pronounced in terms of surface temperature than near-surface temperature. The variation trends of SUHII are more significant in urban, mountainous and aquatic areas, resulting in greater spatial distribution differences. Approximately half of the study area exhibits an increasing trend in UHI effects, regions with increasing trends higher than 0.06&#xb0;C/yr are mainly located in the northern, middle and part of the southern area. The SUHII with the highest warming trend is found in Hefei City, reaching 0.42&#xb0;C/yr, while the fastest cooling trend is observed in the Taihu region of Suzhou City, reaching &#x2212;0.24&#xb0;C/yr. The large variation trends in the SUHII may be associated with changes in vegetation cover. During 2001&#x2013;2018, as the urbanization accelerates, some vegetation is replaced by impervious surface, which in turn accelerates the changes in SUHII.</p>
<p>Concerning the different urban sizes, population levels, city area and urban built-up area (<xref ref-type="table" rid="T2">Table 2</xref>), three cities-Shanghai, Wuxi and Jiaxing are selected as typical urban areas. The differences between NSUHII and SUHII variations in these three typical areas are further investigated, as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Information of three typical urban areas (2023).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">City</th>
<th align="center">Urban size</th>
<th align="center">Population (million)</th>
<th align="center">City area (square kilometers)</th>
<th align="center">Urban built-up area (square kilometers)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Shanghai</td>
<td align="center">Mega city</td>
<td align="center">24.7589</td>
<td align="center">6,340</td>
<td align="center">860.2</td>
</tr>
<tr>
<td align="center">Wuxi</td>
<td align="center">Super city</td>
<td align="center">7.4908</td>
<td align="center">4,627.47</td>
<td align="center">356</td>
</tr>
<tr>
<td align="center">Jiaxing</td>
<td align="center">Type I big city</td>
<td align="center">5.551</td>
<td align="center">3,915</td>
<td align="center">163.42</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Spatial distributions for Theil-Sen slopes of the multi-year average NSUHII <bold>(A1,B1,C1)</bold> and SUHII in typical cities in the YRD region from 2001 to 2018 <bold>(A2,B2,C2)</bold> and corresponding remote sensing images <bold>(A3,B3,C3)</bold>.</p>
</caption>
<graphic xlink:href="fenvs-12-1387672-g007.tif"/>
</fig>
<p>According to the remote sensing images (<xref ref-type="fig" rid="F7">Figure 7A3</xref>), the central urban area of Shanghai City exhibits relatively smaller variation trends of NSUHII (<xref ref-type="fig" rid="F7">Figure 7A1</xref>) and SUIHII (<xref ref-type="fig" rid="F7">Figure 7A2</xref>). Various factors may contribute to this phenomenon, such as the increase in green areas within the central urban area and the reconstruction of old urban districts in mega-cities like Shanghai, leading to a decrease in the warming rate within the central urban area.</p>
<p>For Wuxi City, deviations are observed between the distribution of NSUHII and SUHII. While most areas exhibit a slow warming rate (0.03&#x2013;0.06&#xb0;C/yr) in the NSUHII (<xref ref-type="fig" rid="F7">Figure 7B1</xref>), the SUHII (<xref ref-type="fig" rid="F7">Figure 7B2</xref>) in the central urban area shows a significantly larger warming trend (0.06&#x2013;0.12&#xb0;C/yr) than the areas outside the central urban region and water bodies. Wuxi City is one of the top 10 cities by gross domestic product in the YRD region, and its central urban area has undergone rapid development over the past 2&#xa0;decades. The slow warming trend in the NSUHII demonstrating that the urbanization in Wuxi City has not had a significant impact on the NSUHII.</p>
<p>In Jiaxing City, the variation trends of NSUHII (<xref ref-type="fig" rid="F7">Figure 7C1</xref>) and SUHII (<xref ref-type="fig" rid="F7">Figure 7C2</xref>) in the central urban area are comparable to those outside the central urban area, with some regions showing a weak warming trend. This phenomenon may be attributed to the fact that Jiaxing City belongs to Type I large city, which has a smaller population and slower economic development in comparison to mega-cities.</p>
<p>Overall, over the past 2&#xa0;decades, both near-surface and surface UHI effects in the study area have been developing intensely and exhibit an obvious increase trend. The areas with the largest increase rates are not necessarily the most developed regions but rather the fastest developing ones. The increase rate of near-surface NSUHII is smaller than that of SUHII.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>Generally, most UHI effect is monitored by satellite remote sensing, which spatial distribution and trends have been widely studied on global, regional and city scale. The study of near-surface UHI effect is normally studied using air temperature data from meteorological stations at 2&#xa0;m above the ground due to the lack of data. In this study, a spatialization method suitable for air temperature in complex and highly urbanized areas is determined. The RF-based estimation method has good accuracy and outperforms three other remote sensing estimation methods. Hence, it serves as an ideal high-resolution air temperature dataset for studying the UHI effects. This method retains the advantages of station observations in terms of temporal resolution and high precision, and makes up for its disadvantage of spatial discontinuity, thereby achieving good gridding effect. Previous studies also use several machine learning methods for air temperature estimation in different places, however, the estimation accuracies were not as good as this study (<xref ref-type="bibr" rid="B51">Yao et al., 2021</xref>). For example, (<xref ref-type="bibr" rid="B46">Yang et al., 2023</xref>), also used SVM and RF methods in air temperature estimation in China. Though RF and SVM outperform other methods in in Yang&#x2019;s study, MAE and RMSE values for RF (RMSE &#x3d; 2.01, MAE &#x3d; 1.36) and SVM (RMSE &#x3d; 2.33, MAE &#x3d; 1.58) are still larger than results in this study. With the development of machine learning techniques, new deep learning models such as long short-term memory (LSTM) and XGboost are continually emerging (<xref ref-type="bibr" rid="B31">Reichstein et al., 2019</xref>; <xref ref-type="bibr" rid="B3">Amato et al., 2020</xref>; <xref ref-type="bibr" rid="B46">Yang et al., 2023</xref>). Meanwhile, the dense observation stations and new remote sensing data lay the foundations for further enhancing the accuracy of gridded datasets of air temperature. Therefore, research on near-surface UHI effects based on station observed air temperature should move towards the way of greater precision and refinement (<xref ref-type="bibr" rid="B17">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B6">Bird et al., 2022</xref>).</p>
<p>The spatial distributions and temporal variations of near-surface UHIs and surface UHIs are quite consistent. Although the SUHII and NSUHII are closely related, there are still certain differences especially in the rapidly expanding urban areas and in summer. The SUHII is mainly influenced by surface properties, including vegetation cover, reflectance and anthropogenic heat, whereas the NSUHII is influenced not only by surface properties but also by meteorological elements under local climate (<xref ref-type="bibr" rid="B5">Arnfield, 2003</xref>; <xref ref-type="bibr" rid="B16">Liu et al., 2020</xref>). Previous studies have suggested that both SUHII and NSUHII can be used to characterize human comfort, but the NSUHII is a more accurate representation (<xref ref-type="bibr" rid="B49">Yao et al., 2021</xref>). In addition, the continuous increase in thermal environments exerts pressure on human health and energy consumption (<xref ref-type="bibr" rid="B54">Zhang et al., 2023</xref>), which thus should be given enough attention. Therefore, more attention should be paid to the study of NSUHII and driving factors so as to find applicable mitigation strategies. Previous studies generally analyzed the NSUHII and SUHII effect based on several meteorological stations to represent the air temperature of the entire urban or rural area (<xref ref-type="bibr" rid="B37">Sun et al., 2020</xref>; <xref ref-type="bibr" rid="B56">Hu et al., 2019</xref>). However, this kind of comparison may cause great uncertainty considering the location and number of stations.</p>
<p>This study only focuses on the UHI effect with respect to daily maximum air temperature, without considering daily minimum air temperature or nighttime UHI effects. However, numerous studies have shown that there are significant differences between nighttime and daytime UHI effects (<xref ref-type="bibr" rid="B37">Sun et al., 2020</xref>). Therefore, relevant research can be conducted on the nighttime UHI effect in the future.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>In this study, a spatialization method suitable for air temperature in complex and highly urbanized areas is determined. Specifically, the 1-km gridded air temperature data derived from RF method and LST data from the Moderate-resolution Imaging Spectroradiometer are used to analyze the spatial distribution characteristics of NSUHII and SUHII in the YRD region over the past 2&#xa0;decades. The results show that both the NSUHII and SUHII are rather strong in the study area over the past 20&#xa0;years, presenting similar spatial distributions. The situation that the NSUHII is higher than the SUHII with significant differences appears over water bodies, while the situation of SUHII higher than the NSUHII is often found in the core areas of rapidly urbanizing cities in the YRD, and the differences are more prominent in summer. Although there is a certain degree of correlation between the temporal variations of SUHII and NSUHII, some discrepancies still exists. Notably, the R values between them are relatively lower in the core areas of rapidly urbanizing cities in the Yangtze River Delta region, with the lowest in winter. From 2001 to 2018, most areas in the study region witnessed an increase in both NSUHII and SUHII, especially in regions with rapid urbanization. However, the area with the largest increase rate is not necessarily the most developed region but the fastest developed one. In well-developed cities, the increase rates in the central urban areas are lower than those in the surrounding regions.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>XS: Writing&#x2013;original draft, Writing&#x2013;review and editing. MS: Validation, Visualization, Writing&#x2013;original draft. XL: Conceptualization, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This research was funded by Jiangsu Province Marine Science and Technology Innovation Project (JSZRHYKJ202307) and Jiangsu Meteorological Bureau Scientific research project (KM202408 and KZ202303).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenvs.2024.1387672/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2024.1387672/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.doc" id="SM1" mimetype="application/doc" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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