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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-15-735-2022</article-id><title-group><article-title>A high-resolution monitoring approach of canopy<?xmltex \hack{\break}?> urban heat island using a random forest model and<?xmltex \hack{\break}?> multi-platform observations</article-title><alt-title>A monitoring approach of canopy urban heat island​​​​​​​</alt-title>
      </title-group><?xmltex \runningtitle{A monitoring approach of canopy urban heat island​​​​​​​}?><?xmltex \runningauthor{S. Chen et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Chen</surname><given-names>Shihan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2">
          <name><surname>Yang</surname><given-names>Yuanjian</given-names></name>
          <email>yyj1985@nuist.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Deng</surname><given-names>Fei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Zhang</surname><given-names>Yanhao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Liu</surname><given-names>Duanyang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Liu</surname><given-names>Chao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Gao</surname><given-names>Zhiqiu</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Collaborative Innovation Centre on Forecast and Evaluation of
Meteorological Disasters, School of Atmospheric Physics, Nanjing University
of Information Science &amp; Technology, Nanjing 210044, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Key Laboratory of Transportation Meteorology, China Meteorological
Administration, Nanjing 210008, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>China Meteorological Administration, Nanjing Joint Institute For Atmospheric Sciences, Nanjing 210008, China​​​​​​​</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Yuanjian Yang (yyj1985@nuist.edu.cn)</corresp></author-notes><pub-date><day>9</day><month>February</month><year>2022</year></pub-date>
      
      <volume>15</volume>
      <issue>3</issue>
      <fpage>735</fpage><lpage>756</lpage>
      <history>
        <date date-type="received"><day>28</day><month>September</month><year>2021</year></date>
           <date date-type="rev-request"><day>27</day><month>October</month><year>2021</year></date>
           <date date-type="rev-recd"><day>30</day><month>December</month><year>2021</year></date>
           <date date-type="accepted"><day>10</day><month>January</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Shihan Chen et al.</copyright-statement>
        <copyright-year>2022</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/15/735/2022/amt-15-735-2022.html">This article is available from https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e160">Due to rapid urbanization and intense human activities, the urban
heat island (UHI) effect has become a more concerning climatic and
environmental issue. A high-spatial-resolution canopy UHI monitoring method
would help better understand the urban thermal environment. Taking the city
of Nanjing in China as an example, we propose a method for evaluating canopy
UHI intensity (CUHII) at high resolution by using remote sensing data and
machine learning with a random forest (RF) model. Firstly, the observed
environmental parameters, e.g., surface albedo, land use/land cover,
impervious surface, and anthropogenic heat flux (AHF), around densely
distributed meteorological stations were extracted from satellite images.
These parameters were used as independent variables to construct an RF model
for predicting air temperature. The correlation coefficient between the
predicted and observed air temperature in the test set was 0.73, and the
average root-mean-square error was 0.72 <inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Then, the spatial
distribution of CUHII was evaluated at 30 m resolution based on the output
of the RF model. We found that wind speed was negatively correlated with
CUHII, and wind direction was strongly correlated with the CUHII offset
direction. The CUHII reduced with the distance to the city center, due to
the decreasing proportion of built-up areas and reduced AHF in the same
direction. The RF model framework developed for real-time monitoring and
assessment of high spatial and temporal resolution (30 m and 1 h) CUHII
provides scientific support for studying the changes and causes of CUHII,
as well as the spatial pattern of urban thermal environments.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e181">Throughout the world, cities have formed rapidly due to population growth
and people gathering in certain areas to settle and build their lives. Such
urbanization brings not only economic development but also the urban heat
island (UHI) phenomenon (Oke, 1982; Mirzaei,
2015; Cao et al., 2016; Zhao et al., 2020). Two major types of UHIs can be
distinguished: (a) the canopy urban heat island (CUHI) and (b) the surface
urban heat island (SUHI). The particular type of UHI is defined based on the
height above the ground at which the phenomenon is observed and measured
(Oke, 1982). The UHI effect has become an indisputable fact and
brings adverse impacts on urban ecology and energy consumption (Roth,
2007; Yang et al., 2019; Y. Yang et al., 2020b; Zheng et al., 2020). UHIs
amplify thermal stress, so people residing in urban areas are more impacted
during heatwave episodes (Koken et al., 2003; Estrada et al., 2017). A
recent study of the global UHI predicted that about 30 % of the world's
population is exposed to lethal high temperatures for at least
20 d yr<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and by 2100, this proportion was projected to reach 48 % (Mora et al., 2017). UHIs also have the potential to impact vegetation phenology (Kabano et al., 2021), diurnal temperature<?pagebreak page736?> range (Argüeso et al., 2014), water consumption, and
general thermal comfort (Salata et al., 2017). Due to its
negative impacts, the UHI effect has become a key challenge in achieving
urban sustainability, and assessing this phenomenon has attracted increasing
interest over the last decade or so (Corburn, 2009; Pandey et al., 2014;
Malings et al., 2017). In general, both background weather conditions (e.g.,
the wind vector and heatwaves) and city-specific characteristics (including
the presence of urban green space, properties of built-up materials, and the
intensity of human activity) influence the UHI's mean intensity and
variation (Zhao et al., 2014; Manoli et al., 2019). Concerning these
factors, the UHI also shows significant intracity variability since urban
areas are highly heterogeneous. Therefore, exploring the formation and
causes of UHIs is crucial for decision-makers involved in the planning of
urban developments and allocating public resources.</p>
      <p id="d1e196">There are two main approaches to studying UHIs: numerical simulation and
observation. Numerical simulation can reduce the need for a large number of
observations and reveal mechanistic insights by investigating the impacts of
cities on meteorological variables (Chun and Guldmann, 2014; Zou et al.,
2014; Zhang et al., 2015; Taleghani et al., 2016; Li et al., 2020). For instance,
Zhang et al. (2015) investigated the influence of land use/land cover
(LULC) and anthropogenic heat flux (AHF) on the structure of the urban
boundary layer in the Pearl River Delta region, China, through a series of
numerical experiments. However, it is important to acknowledge that
numerical simulation is a simplification of the real world and cannot
replace actual observations. Observational studies of UHIs are arguably more
robust in their findings (Hu et al., 2016; Chakraborty and Lee, 2019;
Dewan et al., 2021) and can mainly be categorized into the following three
methods: (1) in situ (field) measurement, (2) mobile measurements, and (3) remote sensing technology.</p>
      <p id="d1e199">In situ (field) measurements include conventional measurements from national
meteorological stations which are usually located in rural areas and
high-density microclimate observations from experiments or high-density
automatic sites over various underlying surfaces. It is easy to compare
long-term series of air temperature (AT) between urban and rural stations
based on meteorological observation data (Liu et al., 2006,
2008; Qiu et al., 2008; Yang et al., 2012; Scott et al., 2018;
Nganyiyimana et al., 2020). With the analysis of meteorological data in a
long time series, the contribution and trend changes of UHI intensity (UHII)
can be clearly discovered. Meanwhile, however, due to the limitations of
meteorological sites in terms of their spatial representation, it is
difficult to build a comprehensive understanding of the spatial distribution
of urban thermal environment parameters (such as urban canopy temperature,
land surface temperature (LST) and vegetation) (Liu et al., 2008;
Nganyiyimana et al., 2020). To overcome these limitations, high-density
observation stations are used to explore the spatial distribution of the
urban thermal environment and its relationship with the surrounding
environment (Hu et al., 2016; Bassett et al., 2016; Ching et al., 2018;
An et al., 2020). Deploying denser observation stations or urban
microclimate surveys can to some extent compensate for the limitation of a
coarse spatial resolution. However, such approaches are usually unsuitable
for large-scale studies due to restrictions imposed by certain natural
conditions, social activities, as well as the high cost of construction and
maintenance (An et al., 2020). For example, mobile transect surveys
have been used in many studies (Merbitz et al., 2012; Akdemir and
Tagarakis, 2014; Hankey and Marshall, 2015; Al-Ameri et al., 2016; Liu et al., 2017; Popovici et al., 2018), as
they can easily obtain the distribution of parameters along a designed route
using only a set of equipment attached to a mobile vehicle. However, it is
rather costly to obtain observations at a fine resolution, broad coverage,
and high synchronicity with such an approach.</p>
      <p id="d1e202">To overcome these possible issues, LST data from aerial sensors and Earth-observing satellites are commonly employed in UHI studies, and so remote
sensing data such as those from the Advanced Very High Resolution Radiometer (AVHRR) (Roth et al., 1989; Caselles et
al., 1991; Gallo et al., 1993a), Landsat (Chen et al., 2007; Zhou et al.,
2015; Zhao et al., 2016), MODIS (Peng et al., 2012; Zhou et al., 2015; Li
et al., 2017; Yang et al., 2018; Chakraborty and Lee, 2019), aerial images
(Buyadi et al., 2013; Heusinkveld et al., 2014; Yu et al., 2020), and so
on (Zhao et al., 2020; Gallo et al., 1993b; Qin et al., 2001; Chakraborty
et al., 2020) are widely used to explain the spatial distribution of the
surface UHI and its relationship with the local environment (e.g.,
LULC). Remote sensing data have good application prospects, as they can
provide fine resolution and wide data coverage at times when other
ground-based observations cannot. However, due to the influence of
precipitation and clouds, the retrieval of LST sometimes can be challenging.
In addition, each satellite remote sensing dataset has its own
characteristics (Zhao et al., 2016; Chakraborty and Lee, 2019). For
example, Landsat images have a high spatial resolution (30 m) that can show
urban block sizes, but the temporal resolution is rather low (16 d). The
MODIS LST dataset has the advantage of high temporal resolution (four times
per day), but the spatial resolution is only 1 km (Yang et al.,
2018).</p>
      <p id="d1e206">LST derived by satellites has become an important indicator for exploring
variation characteristics of the SUHI, because LST is closely related to the
land cover type/structure, population density, anthropogenic heat release,
etc., and it also can significantly influence surface air temperature, wind
field, humidity, and surface fluxes in the urban region (Ho et al., 2016; Yang
et al., 2019; Li et al., 2020, 2021). However, the LST can only quantify the
SUHI effect, which is seriously affected by meteorological factors, e.g.,
clouds and evaporation. In contrast, as an important indicator reflecting the
energy exchange between the atmosphere and land in the urban canopy, AT is
more representative than LST. In particular, AT is more related with human
health and<?pagebreak page737?> ecological changes in cities (Ho et al., 2016). While
UHI studies based on AT observed by meteorological sites suffer from limited
spatial coverage, which impedes a comprehensive understanding of the
influencing factors and causes of canopy UHI (CUHI). Thus, there is an
urgent need to develop rapid, high-spatiotemporal-resolution AT, and refined
CUHI intensity (CUHII) estimation methods to explore the mechanisms under
which anthropogenic factors (e.g., urban land-use changes, anthropogenic
heat emissions, urban morphology, and size) and natural factors (e.g.,
meteorological conditions and geographical differences) influence the CUHIs
of complex and diverse cities.</p>
      <p id="d1e209">Therefore, in this study, we (1) based on remote sensing data, AT and wind
speed data as well as other environmental information from meteorological
observations, retrieved the AT data at a 30 m spatial and 1 h temporal
resolution in the study area by using machine learning; (2) calculated the
CUHII distribution based on the retrieved AT data, and further explored the
shape, intensity, and influencing factors of the CUHI by combining local
LULC, wind vector, and urban morphology data.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study areas</title>
      <p id="d1e227">Nanjing, the capital city of Jiangsu province in China, is located along the
lower reaches of the Yangtze River and, as part of the Yangtze River Delta
urban agglomeration, has a high level of urbanization. In fact, Nanjing has
been experiencing rapid urbanization since China's economic reform in 1978.
According to the National Bureau of Statistics, the population in Nanjing
increased from 6.13 million in 2000 to 8.34 million inhabitants in 2018. In 2016, the
built-up area of Nanjing expanded to 773.79 km<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, pushing the city to
rank as the ninth-largest among all Chinese cities (R. Wang et al.,
2020). The total GDP in 2020 was about CNY 1.48 trillion, ranking ninth
among all Chinese cities.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Data</title>
      <p id="d1e247">All of the satellite remote sensing data employed in this study are from the
geospatial data cloud (<uri>https://www.gscloud.cn/</uri>, last access: 10 April 2021​​​​​​​), including those gathered by
the Landsat 8 Operational Land Imager (OLI). OLI has nine bands, including a
coastal band, blue band, green band, red band, near-infrared band, two
shortwave infrared bands, a panchromatic band, and a cirrus band. Due to the
low temporal resolution (16 d) of the Landsat 8 OLI dataset and the
vulnerability to cloud cover, data from three instances of cloudless
conditions over Nanjing were selected for use in this paper – namely, 10:43
local time (LT) on 11 August 2013, 2 September 2015, and 21 July 2017. The
specific band ranges and uses of Landsat 8 OLI are shown in Table S1 of the
Supplement.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e255">Anthropogenic heat flux of Nanjing city and locations of
high-density automatic meteorological stations in Nanjing with recorded air
temperature: <bold>(a)</bold> location map of Nanjing in China; <bold>(b, e)</bold> 11:00 LT on 11 August 2013; <bold>(c, f)</bold> 11:00 LT on 2 September 2015; <bold>(d, g)</bold> 11:00 LT on 21 July 2017.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f01.png"/>

        </fig>

      <p id="d1e276">High-density automatic meteorological observation data, including AT (with
resolution of 0.5<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> on 11 August 2013 and 0.1<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> on 2 September 2015 and 21 July 2017), wind speed, and wind direction, at 11:00 LT
on the day closest to the satellite transit time, were selected. All weather
stations in operation on those three days were included, numbering 218
totally and 63, 79, and 76, respectively (Fig. 1). Figure 1 shows the 2 m AT
and LULC on these three days. Compared with the LULC, the spatial patterns
of AT on these three days are quite different (Fig. 1).</p>
      <p id="d1e298">In addition to global climate change, the influence of human activities on
the CUHI cannot be ignored. Previous studies have pointed out that AHF is
closely related to the change in built-up areas and population density
around the stations, which reflects the fact that the effects from both
anthropogenic emissions and land-use change are related to latent heat flux
and sensible heat flux (Zhou et al., 2012; Y. Yang et al., 2020a; L. Wang et
al., 2020; Zhang et al., 2021). Therefore, AHF was retrieved via a physical
method (Chen and Shi, 2012; Chen et al., 2012, 2014)
based on 1000 m spatial resolution NOAA nighttime lighting data and with
local economic development and energy consumption data, and the AHF data at
the same time in Nanjing were provided by Chen and Shi (2012) and Chen et al. (2012, 2014). Note that the AHF here varied
annually. We expect that AHF distribution can shape the main morphology of
urban thermal environment. We cannot get AHF data at diurnal and seasonal
scales. In future, if we obtain high-temporal-resolution AHF data, we will
update them in the model. And lastly, the digital elevation model (DEM) data
(30 m spatial resolution) used in this study are based on the second version
of ASTER-GDEM, which is provided by the Geospatial Data Cloud site, Computer
Network Information Center, Chinese Academy of Sciences
(<uri>http://www.gscloud.cn</uri>, last access: 10 April 2021).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Random forest model framework for air temperature retrieval</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Construction of random forest model</title>
      <p id="d1e320">The random forest (RF) model is a highly flexible machine learning algorithm
that can analyze data with missing values or noise and has good
anti-interference ability. To date, the RF model has been widely used as a
feature selection tool for high-dimensional data to, for example, identify
the importance of variables and predict or classify related variables. In
this study, an RF model was constructed for each time's dataset to evaluate
the AT using the RF package in R language.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Data preparation</title>
      <?pagebreak page739?><p id="d1e330">The process of urbanization will have a significant impact on CUHIs (Zhou
et al., 2015). To comprehensively take into account the local urban
environment, 18 factors were selected as independent variables, including
anthropogenic parameters (i.e., AHF), geometric parameters (distance from
the city center, proportion of LULC area, altitude, longitude, latitude,
slope, aspect), and physical parameters: proportion of impervious surface
(IS) area, albedo, normalized difference vegetation index (NDVI), normalized
difference built-up index (NDBI), green normalized difference vegetation
index (gNDVI), soil-adjusted vegetation index (SAVI), and normalized difference
moisture index (NDMI). Their sources and spatial resolution are summarized
in Table 1. The inversion methods for these environmental variables were as
follows: based on Landsat 8 OLI satellite data, the LULC in Nanjing was
divided into four broad categories (built-up, cropland, vegetation, and
water body) by combining a support vector machine method and visual
interpretation. The remote sensing indices were calculated using
corresponding bands (Yang et al., 2012; Shi et al., 2015). The IS and
surface albedo data were extracted via multi-band information (Son et
al., 2017; Liang, 2001). Then, the geometric center of the built-up area was
calculated as the city center, and the distances between the meteorological
stations and the city center were calculated. Slope and aspect were
calculated based on the DEM data using ArcMap 10.2. The methods used for
extracting the IS data and calculating the remote sensing indices and
surface albedo are given in Sect. S1, together with the accuracy of IS and
albedo. All the above data (except for DEM, aspect, and slope) were extracted
for each of the 3 years corresponding to the three selected Landsat
images. Taking the data on 21 July 2017 as an example, Fig. 2 shows the
spatial distribution of some of the environmental parameters, i.e., IS,
distance from city center, LULC, and NDVI, where high spatial consistency
between these parameters and the urban structure can be seen. For example,
high-density built-up areas correspond closely to high AHF and low
vegetation cover.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e336">Independent variables with their sources and spatial resolution.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Parameters</oasis:entry>
         <oasis:entry colname="col3">Source</oasis:entry>
         <oasis:entry colname="col4">Spatial</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">resolution (m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Geometric parameters</oasis:entry>
         <oasis:entry colname="col2">Proportion of LULC area</oasis:entry>
         <oasis:entry colname="col3">Landsat 8 data</oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Latitude and longitude</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Distance from the city center</oasis:entry>
         <oasis:entry colname="col3">LULC data</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Altitude, slope, and aspect</oasis:entry>
         <oasis:entry colname="col3">DEM data</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Physical parameters</oasis:entry>
         <oasis:entry colname="col2">Proportion of IS area</oasis:entry>
         <oasis:entry colname="col3">Landsat 8 data</oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Albedo</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">NDVI, NDBI, gNDVI, SAVI, and NDMI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Anthropogenic parameters</oasis:entry>
         <oasis:entry colname="col2">AHF data</oasis:entry>
         <oasis:entry colname="col3">NOAA nighttime lighting data</oasis:entry>
         <oasis:entry colname="col4">1000</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e339">Notes: DEM, digital elevation model; IS, impervious surface; NDVI,
normalized difference vegetation index; NDBI, normalized difference
built-up index; gNDVI, green normalized difference vegetation index; SAVI,
soil-adjusted vegetation index; NDMI, normalized difference moisture index;
AHF, anthropogenic heat flux.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{p}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e498">Spatial distribution of typical environmental variables on 21 July
2017 in Nanjing: <bold>(a)</bold> impervious surface; <bold>(b)</bold> distance from city center; <bold>(c)</bold> LULC; <bold>(d)</bold> NDVI.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f02.png"/>

          </fig>

      <p id="d1e520">Due to advection and turbulent transport, neighborhood surroundings can
affect the local temperature (Yang et al., 2012; Shi et al., 2015).
Therefore, a fixed buffer zone was built surrounding the meteorological
stations. Within the buffer zone of each station the proportion of IS area
and that of each LULC type, and the average values of surface albedo, AHF,
NDVI, NDBI, SAVI, gNDVI, and NDMI were calculated. Together with longitude,
latitude, altitude, and distance to the city center, these parameters were
fed into the RF model as independent variables, with AT as the target
variable. In addition, to find out the optimal size of the buffer zones for
the model, we compared the model performances for different buffer zone
sizes, i.e., buffer zones with a radius of 500, 1000, 2000, and 5000 m,
respectively. Figure 3 summarizes the research framework of this paper.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e525">Flowchart for constructing the RF model and evaluating the CUHII
(canopy layer urban heat island).</p></caption>
            <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f03.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>The 5-fold cross validation</title>
      <?pagebreak page740?><p id="d1e542">This paper uses the coefficient of determination (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) and
root-mean-square error (RMSE) as verification indicators. <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> indicates
the degree of fit between the predicted AT and the observed AT, and the RMSE
can reflect the credibility of the prediction result.</p>
      <p id="d1e567">The cross validation (CV) method can be used to evaluate the performance of
the RF model (Zheng et al., 2020). In this paper, we employ the
5-fold CV method, in which the entire dataset is randomly divided into
five subsets – each time four subsets are used to train the RF model, and
the remaining one is used for validating. After constructing the model, the
validation data are used to calculate the current <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE, and the
process is repeated until each of the 5 folds has been used as validation
data. The randomness in the process of selecting samples for modeling gives
the model the advantage of being robust and highly accurate. With enough
decision trees, it can ensure that each sample is used as a training sample
and a test sample, effectively avoiding overfitting.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><title>Variable selection and model parameter setting</title>
      <p id="d1e589">Since not every variable in the model makes a prominent contribution to the
performance, deleting those variables that can reduce the prediction
accuracy can improve the performance and simplify the model. Therefore, the
number of variables should be minimized on the premise of improving or not
affecting the performance of the model. The contribution of each variable is
judged by two indicators: the percentage increase in mean-square error
(%IncMSE) and the percentage increase in node purity (IncNodePurity).
Using the backward selection method, the variable with the smallest
contribution is identified and removed, and the model is re-run. These steps
are then repeated until only one variable remains. The <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE under
different combinations of variables were evaluated (Fig. S1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e605">The <bold>(a–c)</bold> <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (coefficient of determination) and <bold>(d–f)</bold> RMSE (root-mean-square error) changes with the parameters Ntree and Mtry of the model using the dataset on <bold>(a, d)</bold> 11 August 2013, <bold>(b, e)</bold> 2 September 2015, and <bold>(c, f)</bold> 21 July 2017.</p></caption>
            <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f04.png"/>

          </fig>

      <p id="d1e641">To build an RF model, two important parameters need to be set: the number of
decision trees (Ntree) and the number of variables sampled at each node
(Mtry). The RF models were established with Ntree from 50 to 1200, with 50
as the step length, and Mtry from 1 to 16 respectively, with 1 as the step
length to traverse all the parameters. Figure 4 presents the <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE
values in each 5-fold CV test.</p>
      <p id="d1e656">The principle of parameter selection is to choose a simpler model (smaller
Ntree and Mtry) under the premise of good performance. In the end, the
optimal Mtry and Ntree based on the datasets on 11 August 2013, 2 September
2015, and 21 July 2017 were 7 and 200, 10 and 150, and 7 and 50,
respectively.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Model testing</title>
      <p id="d1e668">Table 2 compares the performance of the RF model with different buffer sizes
(500, 1000, 2000, and 5000 m) in the 5-fold CV. The RF model based
on the dataset on 11 August 2013 and 2 September 2015 within 1 km buffer
zones performed best, with an <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE of 0.57 and 0.65 <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
and 0.59 and 0.69 <inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. On 21 July 2017,  the <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE with a 2 km buffer zone were 0.47 and
0.80 <inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively, outperforming other buffer sizes.  As can be seen from Table 2, on 11 August 2013 and 2 September 2015, the <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE with the 1 km buffer
zone were very close to those from the optimal buffer size, i.e., the 2 km
buffer zone, whereas on 21 July 2017, the <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE with the 1 km
buffer zone deteriorated considerably compared to those with the 2 km buffer
zone. In addition, according to recent studies, the effective range that can
influence local temperature is within 2 km (Ren and Ren, 2011; Yang et al.,
2012; Shi et al., 2015). Therefore, a 2000 m buffer was finally chosen in
this study.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e746"><inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE of the RF model with different buffer radii (500, 1000, 2000, 5000 m). Date format: dd/mm/yyyy.​​​​​​​</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">500 m </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">1000 m </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center" colsep="1">2000 m </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">5000 m </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">RMSE</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">RMSE</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">RMSE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">(<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">11/08/2013</oasis:entry>
         <oasis:entry colname="col2">0.33</oasis:entry>
         <oasis:entry colname="col3">0.75</oasis:entry>
         <oasis:entry colname="col4">0.57</oasis:entry>
         <oasis:entry colname="col5">0.65</oasis:entry>
         <oasis:entry colname="col6">0.56</oasis:entry>
         <oasis:entry colname="col7">0.65</oasis:entry>
         <oasis:entry colname="col8">0.36</oasis:entry>
         <oasis:entry colname="col9">0.74</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">02/09/2015</oasis:entry>
         <oasis:entry colname="col2">0.58</oasis:entry>
         <oasis:entry colname="col3">0.70</oasis:entry>
         <oasis:entry colname="col4">0.59</oasis:entry>
         <oasis:entry colname="col5">0.69</oasis:entry>
         <oasis:entry colname="col6">0.57</oasis:entry>
         <oasis:entry colname="col7">0.70</oasis:entry>
         <oasis:entry colname="col8">0.49</oasis:entry>
         <oasis:entry colname="col9">0.76</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">21/07/2017</oasis:entry>
         <oasis:entry colname="col2">0.19</oasis:entry>
         <oasis:entry colname="col3">0.92</oasis:entry>
         <oasis:entry colname="col4">0.17</oasis:entry>
         <oasis:entry colname="col5">0.91</oasis:entry>
         <oasis:entry colname="col6">0.47</oasis:entry>
         <oasis:entry colname="col7">0.80</oasis:entry>
         <oasis:entry colname="col8">0.16</oasis:entry>
         <oasis:entry colname="col9">0.93</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page741?><p id="d1e1028">In addition, three methods of AT modeling were also compared – two linear
regressions – stepwise linear regression (Alonso and Renard, 2019; Mira
et al., 2017) and geographically weighted regression (GWR) (L. Wang et al.,
2020; Li et al., 2021) – and one nonlinear regression (the RF model; Alonso and Renard, 2020). A detailed description of the linear
regression methods is provided in Sect. S2. For each model, the combination
of variables with the largest <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and smallest RMSE was selected. Using
this approach, eight, seven, and six variables were selected for the models on
11 August 2013, 2 September 2015, and 21 July 2017, respectively (Table 3).
Table 3 also shows the performance of each model based on the dataset within
a 2000 m buffer zone. Compared to the other methods, the RF model achieves
better <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE, indicating its higher capability in fitting
nonlinear and complex data and suitability for predicting AT (Zhu et al.,
2019; Yoo et al., 2018).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1057"><inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE of stepwise regression, GWR (geographically
weighted regression), and the RF model within a 2 km buffer zone. Date format: dd/mm/yyyy.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><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" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <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="col3" align="center" colsep="1">Stepwise regression </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">GWR </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center">RF model </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">RMSE )</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">RMSE</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">RMSE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">11/08/2013</oasis:entry>
         <oasis:entry colname="col2">0.30</oasis:entry>
         <oasis:entry colname="col3">0.69</oasis:entry>
         <oasis:entry colname="col4">0.33</oasis:entry>
         <oasis:entry colname="col5">0.77</oasis:entry>
         <oasis:entry colname="col6">0.56</oasis:entry>
         <oasis:entry colname="col7">0.65</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">02/09/2015</oasis:entry>
         <oasis:entry colname="col2">0.47</oasis:entry>
         <oasis:entry colname="col3">0.74</oasis:entry>
         <oasis:entry colname="col4">0.44</oasis:entry>
         <oasis:entry colname="col5">0.82</oasis:entry>
         <oasis:entry colname="col6">0.57</oasis:entry>
         <oasis:entry colname="col7">0.70</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">21/07/2017</oasis:entry>
         <oasis:entry colname="col2">0.27</oasis:entry>
         <oasis:entry colname="col3">0.90</oasis:entry>
         <oasis:entry colname="col4">0.12</oasis:entry>
         <oasis:entry colname="col5">0.93</oasis:entry>
         <oasis:entry colname="col6">0.47</oasis:entry>
         <oasis:entry colname="col7">0.80</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Prediction accuracy of RF models</title>
      <p id="d1e1292">Figure 5 compares the measured AT of the high-density automatic stations in
the training set or testing set and the<?pagebreak page742?> predicted AT of the RF model in the
5-fold CV. In general, a large number of scattered points of predicted
and observed AT are clustered around the 1 : 1 line, indicating good
performance of the model. In the training set, the average <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE
of the three models are 0.955 and 0.325 <inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. The
<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE using data on 11 August 2013, 2 September 2015, and 21 July
2017 are 0.948 and 0.295 <inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, 0.954 and 0.310 <inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and
0.963 and 0.369 <inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively, indicating high model accuracy.
The result of the testing set shows that the average <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and RMSE are
0.535 and 0.719 <inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. Among them, the prediction
results achieved on 21 July 2017 are slightly less accurate than those
obtained on the other  two days. A smaller <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and larger RMSE were
observed on 21 July 2017 (0.468, 0.802 <inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) compared to 11 August 2013 (0.563, 0.655 <inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and 2 September 2015 (0.574, 0.700 <inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). Based on existing research (Oh et al., 2020; Venter
et al., 2020) and follow-up discussion (Sect. 4.2.1), it can be concluded
that the model performs best outside of the summer months, when the spatial
variation in AT is low and wind velocities are high, corresponding to the
model from 2 September 2015. In contrast, during the summer months, the
performance of the model constructed with a high spatial variation of AT or
low wind speed conditions decreases slightly, corresponding to the datasets
on 21 July 2017 and 11 August 2013.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1415">Scatterplot of predicted and observed air temperature: 5-fold
cross validation (CV) for the training set on <bold>(a)</bold> 11 August 2013, <bold>(b)</bold> 2 September 2015, and <bold>(c)</bold> 21 July 2017; 5-fold CV for the testing set on <bold>(d)</bold> 11 August 2013, <bold>(e)</bold> 2 September 2015, and <bold>(f)</bold> 21 July 2017.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f05.png"/>

        </fig>

      <p id="d1e1443">Furthermore, we used %IncMSE and IncNodePurity to determine the
contribution of each variable (Table 4) and to compare their importance. The
NDVI, and the proportion of IS, vegetation, and water body area all appeared
in the three models, indicating that vegetation, water bodies, and human
activities have important and universal impacts on the AT distribution. The
distance to the city center appeared in the model based on the data on 2 September 2015 and 21 July 2017, and ranked high, implying the impact of
urbanization on the heat island.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e1450">Importance of input variables for the RF model of AT estimation on
the three different days. Date format: dd/mm/yyyy.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">11/08/2013</oasis:entry>
         <oasis:entry colname="col2">%IncMSE</oasis:entry>
         <oasis:entry colname="col3">IncNodePurity</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Water body</oasis:entry>
         <oasis:entry colname="col2">9.23</oasis:entry>
         <oasis:entry colname="col3">4.71</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NDVI</oasis:entry>
         <oasis:entry colname="col2">8.38</oasis:entry>
         <oasis:entry colname="col3">4.22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NDBI</oasis:entry>
         <oasis:entry colname="col2">7.15</oasis:entry>
         <oasis:entry colname="col3">7.13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IS</oasis:entry>
         <oasis:entry colname="col2">6.93</oasis:entry>
         <oasis:entry colname="col3">6.46</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Built-up</oasis:entry>
         <oasis:entry colname="col2">4.19</oasis:entry>
         <oasis:entry colname="col3">2.05</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vegetation</oasis:entry>
         <oasis:entry colname="col2">2.35</oasis:entry>
         <oasis:entry colname="col3">1.38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AHF</oasis:entry>
         <oasis:entry colname="col2">0.89</oasis:entry>
         <oasis:entry colname="col3">2.91</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Cropland</oasis:entry>
         <oasis:entry colname="col2">0.27</oasis:entry>
         <oasis:entry colname="col3">1.70</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">02/09/2015</oasis:entry>
         <oasis:entry colname="col2">%IncMSE</oasis:entry>
         <oasis:entry colname="col3">IncNodePurity</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cropland</oasis:entry>
         <oasis:entry colname="col2">5.10</oasis:entry>
         <oasis:entry colname="col3">9.45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Distance to city center</oasis:entry>
         <oasis:entry colname="col2">4.57</oasis:entry>
         <oasis:entry colname="col3">8.59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Water body</oasis:entry>
         <oasis:entry colname="col2">4.00</oasis:entry>
         <oasis:entry colname="col3">11.05</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NDVI</oasis:entry>
         <oasis:entry colname="col2">3.18</oasis:entry>
         <oasis:entry colname="col3">5.34</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NDBI</oasis:entry>
         <oasis:entry colname="col2">2.44</oasis:entry>
         <oasis:entry colname="col3">4.05</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Built-up</oasis:entry>
         <oasis:entry colname="col2">2.41</oasis:entry>
         <oasis:entry colname="col3">2.78</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SAVI</oasis:entry>
         <oasis:entry colname="col2">1.49</oasis:entry>
         <oasis:entry colname="col3">2.67</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vegetation</oasis:entry>
         <oasis:entry colname="col2">1.44</oasis:entry>
         <oasis:entry colname="col3">2.24</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">IS</oasis:entry>
         <oasis:entry colname="col2">0.40</oasis:entry>
         <oasis:entry colname="col3">2.59</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">21/07/2017</oasis:entry>
         <oasis:entry colname="col2">%IncMSE</oasis:entry>
         <oasis:entry colname="col3">IncNodePurity</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Distance to city center</oasis:entry>
         <oasis:entry colname="col2">20.01</oasis:entry>
         <oasis:entry colname="col3">16.22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IS</oasis:entry>
         <oasis:entry colname="col2">18.36</oasis:entry>
         <oasis:entry colname="col3">15.75</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vegetation</oasis:entry>
         <oasis:entry colname="col2">11.52</oasis:entry>
         <oasis:entry colname="col3">8.08</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NDVI</oasis:entry>
         <oasis:entry colname="col2">9.89</oasis:entry>
         <oasis:entry colname="col3">3.85</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">gNDVI</oasis:entry>
         <oasis:entry colname="col2">7.86</oasis:entry>
         <oasis:entry colname="col3">3.28</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SAVI</oasis:entry>
         <oasis:entry colname="col2">6.78</oasis:entry>
         <oasis:entry colname="col3">2.38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Water body</oasis:entry>
         <oasis:entry colname="col2">6.45</oasis:entry>
         <oasis:entry colname="col3">6.24</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1453">Notes: NDVI, normalized difference vegetation index; IS, impervious surface;
AHF, anthropogenic heat flux; DEM, digital elevation model; NDBI,
normalized difference built-up index; gNDVI, green normalized difference
vegetation index; SAVI, soil-adjusted vegetation index.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1803">The predicted relative error of the air temperature by random
forest: <bold>(a)</bold> 11 August 2013; <bold>(b)</bold> 2 September 2015; <bold>(c)</bold> 21 July 2017.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f06.png"/>

        </fig>

      <p id="d1e1821">The absolute error for RF prediction is defined as difference in predicted
AT and observed AT at each weather station(See Fig. S2). The relative error
is defined as that absolute error divided by observed AT, which is shown in
Fig. 6. In general, the mean relative (absolute) errors by all stations
are 0.07 % (0.014 <inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), 0.04 % (<inline-formula><mml:math id="M50" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.025 <inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), and
0.05 % (0.003 <inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) on 11 August 2013, 2 September 2015, and 21 July 2017, respectively. In detail, most of errors are concentrated between
<inline-formula><mml:math id="M53" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.49 and 0.5 <inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C over more than half of all stations
for these three days (Fig. S2), and more than 39.1 %/71.7 %/86.3 %
of the total stations exhibit predictions with relative errors <inline-formula><mml:math id="M55" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 %/2 %/3 % (Fig. 6), indicating good performance of RF models for
most areas.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Model robustness</title>
      <p id="d1e1890">To validate robustness of this RF framework and its practicality at a long
period, hourly meteorological AT observations during August 2013, September
2015, and July 2017, and corresponding environment variables were chosen to
establish the RF model. The temperature differences in a month are larger,
showing more complicated situations. For 5-fold CV, a scatterplot of
predicted and observed air temperature is given in Fig. 7, showing that
the mean RMSEs are 0.75, 0.52, and 0.59 <inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values are 0.98, 0.99, and 0.99, respectively, in August 2013,
September 2015, and July 2017. In general, for 1-month samples, the mean
<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> reached 0.986 and RMSE was 0.620 <inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Note that most of the
points are<?pagebreak page743?> clustered around the 1 : 1 line and the performance is better than
the model using 1 d samples. The accuracy in August 2013 is the lowest
because that resolution of observed AT is 0.5 <inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in this month,
while it is 0.1 <inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in other two months, so the performance is the worst among three months.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1954">Scatterplot of predicted and observed air temperature using data
in a 1-month 5-fold CV for the testing set on <bold>(a)</bold> August 2013, <bold>(b)</bold> September 2015, and <bold>(c)</bold> July 2017.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f07.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Refined CUHII assessment in Nanjing</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Refined AT and CUHII and comparison with LST distribution</title>
      <p id="d1e1988">After establishing the model, a 2 km buffer area was created for each
30 m resolution pixel and the same 18 independent variables were calculated.
The constructed RF model took these pixel-wise variables as input and output
AT for each<?pagebreak page744?> pixel, and hence we obtained the RF model–predicted AT map at
30 m resolution (Fig. 8). LST is also a physical manifestation of surface
energy and moisture flux exchange between the atmosphere and the biosphere.
Previous studies point out that there is a relationship between LST and AT
(Mutiibwa et al., 2015; Benali et al., 2012); therefore,
Fig. 9 shows the LSTs of Nanjing on these days, which were retrieved by
using Google Earth Engine. CUHII is an important indicator to quantify the
UHI effect, which is usually defined as the difference in AT at the same
level between urban and rural areas (Y. Yang et al., 2020b; Nganyiyimana et
al., 2020), as follows:
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M62" display="block"><mml:mrow><mml:mi mathvariant="normal">CUHII</mml:mi><mml:mo>=</mml:mo><mml:mi>T</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">rural</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M63" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the predicted AT in each pixel and <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">rural</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the average AT in
the reference rural area. A square area of size 10 km <inline-formula><mml:math id="M65" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 km was
selected as the reference rural area in the northern part of Nanjing
(Valmassoi and Keller, 2021). It was far from the city center and barely
impacted by the UHI effect (Fig. 8). The average AT in each reference
rural area was 36.0, 27.8, and 34.7 <inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C on these
three days, respectively. Then, the CUHII distribution in Nanjing was
calculated according to Eq. (1) (Fig. 10).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2048">Spatial distribution of AT in Nanjing and the
reference rural area: <bold>(a)</bold> 11 August 2013; <bold>(b)</bold> 2 September 2015; <bold>(c)</bold> 21 July 2017.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2068">Spatial distribution of the LST in Nanjing: <bold>(a)</bold> 11 August 2013; <bold>(b)</bold> 2 September 2015; <bold>(c)</bold> 21 July 2017.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e2089">Spatial distribution of the CUHII in Nanjing: <bold>(a)</bold> 11 August 2013; <bold>(b)</bold> 2 September 2015; <bold>(c)</bold> 21 July 2017.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f10.png"/>

        </fig>

      <p id="d1e2107">Figure 8 shows that the AT on 11 August 2013 and 21 July 2017 was higher and
that the AT ranges were 35.4–37.8 and 33.6–36.4 <inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
respectively. The corresponding CUHII was strong, with more than
1.5 <inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the downtown area (Fig. 10). On 2 September 2015, the
AT range was 26.8–29.1 <inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 8) and the CUHI was slightly
weaker, with the maximum value at only 1.3 <inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 10). In
contrast, the LSTs are higher, ranging from 26.2–44.1,
21.3–44.1, and 23.9–42.1 <inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C on 11 August 2013, 2 September 2015, and 21 July 2017, respectively (Fig. 9). The three images
from different seasons and different weather backgrounds led to significant
differences in CUHII, while LST differences are marginal. On 2 September
2015, the overall CUHI was the weakest among the three days. Consistent with
a previous study (R. Wang et al., 2020), the summer CUHI in Nanjing was
found to be generally stronger than that in autumn and winter. The
difference between the maximal heat island and cold island intensity on 21 July 2017 was 2.8 <inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the largest among the three cases.
Generally, the densely populated central city area has a large proportion of
IS area, large anthropogenic heat emissions, and higher AT and LST, showing
an obvious UHI phenomenon (Figs. 8, 9, and 10). However, in urban areas
with high vegetation coverage or large water bodies, the AT and LST
decrease with weakened CUHII. The AT and LST gradually decrease from the
city center to the suburbs. Suburban areas, which are covered by more
vegetation and water bodies, have significantly lower AT and LST than
central urban areas. At the boundary of the central city, high-AT areas and
heat islands extend outward along built-up areas and roads (Figs. 8, 9, and
10).</p>
      <p id="d1e2165">Against different weather backgrounds, the spatial distributions of AT and
CUHII exhibit heterogeneity in urban Nanjing on different days. The high-AT
area on 11 August 2013 extended from the city center to a wide range, and
the extreme value of AT was the highest (Fig. 8a), corresponding to the
strongest CUHI (Fig. 10a). Combined with Fig. 2, we can see only a small
range of vegetation coverage and water bodies in the central urban area, so
the CUHII decreased slightly. Only in the suburban water body and farmland
areas were there large cold island areas, and only on this day, the
distribution of LST corresponds to that of AT. On 2 September 2015, the
high-AT area was relatively small to the north of the Yangtze River. The AT
on the Yangtze River was the lowest (Fig. 8b), with the strongest cold
island here (Fig. 10b). The high-AT area extended from the central city to
the south, and the cold islands in the southern water body and vegetation-covered areas were not significant. On 21 July 2017, the distribution of the
heat island was the opposite. There was a large area of high AT to the north
of the Yangtze River, and the cooling effect of the Yangtze River was weak
(Fig. 8c). Meanwhile, the AT in the southern suburbs dropped
significantly, and cold islands widely spread in water body and cropland
areas (Fig. 10c). Compared with the distribution of<?pagebreak page745?> CUHII on 11 August
2013, the AT over the water bodies and hills in the northeast of the central
city was lower, forming a large and strong cold island area.</p>
      <p id="d1e2168">However, note that the distributions of LST at these three times are similar,
and they are all strongly related to urban form and LULC (Li et
al., 2021). This is because different factors caused different spatial
distribution between LST and AT. Ground transfers heat to the air through
radiation, conduction, and convection after absorbing solar energy, which is
the main source of heat in the air (Hong et al., 2018; Khan et al.,
2020). While LST is directly heated by solar energy, which is more sensitive
to emissivity, surface material and humidity, which are related to LULC, tend to have greater temperature differences for different LULC types (Janatian et
al., 2016; Long et al., 2020). The LULC types in these periods are similar, so the
LST differences are marginal.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e2174">Area occupied by different levels of urban heat island intensity on
different days (km<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>). Date format: dd/mm/yyyy.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <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:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">CUHII level (<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M76" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> to 0</oasis:entry>
         <oasis:entry colname="col5">0 to 0.5</oasis:entry>
         <oasis:entry colname="col6">0.5 to 1</oasis:entry>
         <oasis:entry colname="col7">1 to 1.5</oasis:entry>
         <oasis:entry colname="col8">1.5 to 2</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">11/08/2013</oasis:entry>
         <oasis:entry colname="col2">0.00</oasis:entry>
         <oasis:entry colname="col3">0.15</oasis:entry>
         <oasis:entry colname="col4">1047.43</oasis:entry>
         <oasis:entry colname="col5">1517.19</oasis:entry>
         <oasis:entry colname="col6">2446.03</oasis:entry>
         <oasis:entry colname="col7">1486.89</oasis:entry>
         <oasis:entry colname="col8">82.96</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">02/09/2015</oasis:entry>
         <oasis:entry colname="col2">0.02</oasis:entry>
         <oasis:entry colname="col3">192.13</oasis:entry>
         <oasis:entry colname="col4">1109.89</oasis:entry>
         <oasis:entry colname="col5">3751.88</oasis:entry>
         <oasis:entry colname="col6">1472.26</oasis:entry>
         <oasis:entry colname="col7">56.97</oasis:entry>
         <oasis:entry colname="col8">0.00</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">21/07/2017</oasis:entry>
         <oasis:entry colname="col2">0.23</oasis:entry>
         <oasis:entry colname="col3">232.52</oasis:entry>
         <oasis:entry colname="col4">1005.04</oasis:entry>
         <oasis:entry colname="col5">2670.11</oasis:entry>
         <oasis:entry colname="col6">2040.98</oasis:entry>
         <oasis:entry colname="col7">634.13</oasis:entry>
         <oasis:entry colname="col8">0.14</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2377">To further explore the intensity and coverage of the CUHI on different days,
the area (km<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) occupied by different levels of CUHII on the three
different days was calculated (Table 5). The CUHI area on 11 August 2013
accounted for 84.1 % and the area of the CUHII in the range of
1–1.5 and 1.5–2 <inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C was 1486.89 and 82.96 km<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, respectively. On 2 September 2015, the CUHI area accounted for
80.2 % and the CUHII area at 0–0.5 <inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C accounted for 57.0 %,
concentrating in this range, while that at 1–1.5 <inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C was only 56.97 km<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. The strongest cold island was lower than <inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 <inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and the
overall CUHI effect was relatively weak. On 21 July 2017,<?pagebreak page746?> the CUHI area
accounted for 81.2 %, and the area where the CUHII was greater than
1.5 <inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C was only 0.14 km<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Potential drivers of CUHII</title>
      <p id="d1e2477">According to previous studies, three factors – the wind vector field
(He, 2018), LULC (Cao et al., 2018; R. Wang et al., 2020) and the
urban structure (Shahmohamadi et al., 2011; Li et al., 2020) – are the
most important influencing factors of CUHIs. In this section, we explore
these three drivers of CUHI in Nanjing.</p>
<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><title>Relationship between CUHII and the wind vector field</title>
      <p id="d1e2487">The horizontal air flow has a significant impact on the intensity and shape
of the CUHI (He et al., 2021). Figure 11 shows the wind vector field
observed by weather stations on the three days analyzed in our study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e2492">Wind vector field in Nanjing on <bold>(a)</bold> 11 August 2013, <bold>(b)</bold> 2 September 2015, and <bold>(c)</bold> 21 July 2017.</p></caption>
            <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f11.png"/>

          </fig>

      <p id="d1e2510">On 11 August 2013, the average wind speed at the stations was 0.70 m s<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, most of which recorded calm wind (0–0.2 m s<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) or soft wind (0.3–1.5 m s<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Fig. 11a). The main reason for this was that Nanjing was continuously controlled
by the western Pacific subtropical high at this time and was therefore
experiencing a continuous heatwave – conditions
that are usually associated with low wind speeds, descending motion, and
stable weather, leading to increased CUHI strength (Fig. 10a) (Wang
et al., 2021). On 2 September 2015, the average wind speed was 1.53 m s<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
which was a significant increase (Fig. 11b). The overall northwesterly
wind direction led to the CUHII being lower than that on 11 August 2013.
Indeed, it has been noted in previous work that the wind direction will
significantly affect the position and shape of a heat island (Bassett et
al., 2016), and in the present study the northwesterly winds resulted in the
CUHI extending from the built-up area to the southeast (Fig. 10b) whilst
weakening significantly in the northwest. On 21 July 2017, the average wind
speed reached 3.07 m s<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with a southwesterly wind direction (Fig. 11c).
The CUHI effect weakened accordingly, extending to the northeast in the
downward wind, and the CUHI was significantly weakened in the southwest
(Fig. 10c).</p>
      <p id="d1e2574">On all three days, the wind speed in the suburban areas was higher than that
in the central city, and this is because there is no shelter provided by
tall and dense buildings in the suburban areas, which is conducive to
cooling from air convection and therefore a weakening of the CUHII
(P. Yang et al., 2020). That said, records show that, surprisingly, the
boundary-layer mean wind speed in a city can be higher than its rural
counterpart. On the one hand, Nanjing is traversed by the Yangtze River, and
the central city surrounds a large<?pagebreak page747?> area of water, wherein the low surface
roughness of the water is conducive to air convection. On the other hand,
channeling/the Venturi effect might be an important factor. When the
prevailing wind is parallel to the axis between buildings, it will be forced
to enter between the buildings, resulting in higher wind pressure, which
increases the wind speed (Droste et al., 2018).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e2579">Relationship between CUHII
and wind speed around all meteorological stations on <bold>(a)</bold> 11 August 2013, <bold>(b)</bold> 2 September 2015, and <bold>(c)</bold> 21 July 2017. The black dots represent the mean canopy UHII; error bars indicate the uncertainties of 1 standard deviation from the mean.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f12.png"/>

          </fig>

      <p id="d1e2597">In order to quantify the relationship, the average CUHII and standard
deviation under different wind speeds at various meteorological stations
were calculated (Fig. 12). On 11 August 2013, the maximum wind speed was 2 m s<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which bore no significant relationship with the CUHII (Fig. 12a). On 2 September 2015 and 21 July 2017, the maximum wind speed reached 5 and 6 m s<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, which showed a significant negative correlation with the CUHI (Fig. 12b and c). The greater the wind speed, the more significant the negative correlation.</p>
      <p id="d1e2624">There are two aspects concerning the influence of air convection on CUHIs.
On the one hand, air convection will facilitate horizontal advection cooling
between urban and rural areas, thereby weakening the CUHI (Brandsma et al., 2003). The greater the wind speed, the more significant the
cooling effect (Fig. 12). On the other hand, horizontal convection
transfers heat from the upwind to the downwind area, weakening the upwind
CUHII and strengthening the downwind CUHII (Bassett et al., 2016)
(Figs. 10 and 11). Under different wind speeds, the synergy of these two
aspects differs significantly. On 11 August 2013, the average wind speed was
the smallest among the three days at only 0.7 m s<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and there was no uniform wind direction, corresponding to the strongest CUHI. The distribution of the CUHI was highly correlated with that of built-up areas (Figs. 10a and
11a). On 2 September 2015, the average wind speed was 1.53 m s<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Due to the
combined effect of horizontal advection cooling and heat transfer, an upwind
cold island appeared and, meanwhile, the downwind area received heat from
the upwind area and the CUHII increased significantly (Figs. 10b and 11b).
On 21 July 2017, the average wind speed was 3.07 m s<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the upwind CUHII also weakened (Figs. 10c and 11c). Downwind, however, the urban heat
convection was the dominant factor, which reduced the CUHII in some areas.</p>
      <p id="d1e2663">In contrast, CUHII distribution is in good agreement with LST distribution
on 11 August 2013, while the large pattern difference during the other two days
(Figs. 9 and 11). This is because calm wind on 11 August 2013 cannot
induce horizontal advection of urban heat; therefore, spatial distributions
of LST and AT are well matched in this day. However, under large wind
conditions (e.g., larger wind speeds on both 2 September 2015 and 21 July
2017), there is obvious urban heat island advection (Bassett, et al.,
2016), resulting in different patterns between CUHII and SUHI during these
two days (Figs. 9 and 11).</p>
</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <label>4.2.2</label><title>Relationship between CUHII and LULC</title>
      <?pagebreak page748?><p id="d1e2674">LULC also has a significant impact on CUHII (Li et al., 2020; Zong et al., 2021) and LST (Yang et al., 2018; Li et al., 2021). The average values and standard deviation of
CUHII were calculated for each LULC type on the three days (Fig. 13). On
11 August 2013, the CUHII in the built-up area was the strongest, exceeding
1.1 <inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and in the water body areas it was the weakest at only
0.22 <inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 13a). On 21 July 2017, the CUHII in the built-up area
was the strongest at 0.62 <inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and in the vegetation areas it was the
weakest at 0.24 <inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 13b). The CUHII on these two days was
highest in the built-up area, followed by cropland, and then water bodies
and vegetation. On 2 September 2015, the CUHII in the built-up area was the
strongest at 0.32 <inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, while it was the weakest at <inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06 <inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
in the water body areas (Fig. 13c).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F13" specific-use="star"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e2741">Mean CUHII and standard
deviations over different LULC on <bold>(a)</bold> 11 August 2013, <bold>(b)</bold> 2 September 2015, and <bold>(c)</bold> 21 July 2017.</p></caption>
            <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f13.png"/>

          </fig>

      <p id="d1e2759">Different LULC types have different effects on AT due to their own
intrinsic physical properties, mainly reflected in three aspects:
<list list-type="order"><list-item>
      <p id="d1e2764">Due to the good thermal conductivity and small specific heat capacity of
the surface material in the built-up area, the ability to absorb shortwave
radiation during the day is stronger than that of other land uses. The LST
is significantly higher than that of the suburbs, and therefore the
atmosphere is easily heated (Hong et al., 2018).</p></list-item><list-item>
      <p id="d1e2768">Due to sufficient water availability in cropland and vegetation-covered
areas, evaporation will increase the latent heat flux and cooling effect
(Zhao et al., 2020; Zheng et al., 2018). In contrast, the surface
humidity of the built-up area is low, with low corresponding latent heat
flux. The difference in latent heat flux will increase the difference in LST
and AT between urban and rural areas. The latent heat flux of the water
bodies is the largest, and the cooling effect is the most obvious.</p></list-item><list-item>
      <p id="d1e2772">There is a significant correlation between LULC and wind speed
(Chen et al., 2020). Areas with tall buildings in built-up areas have
high surface roughness and low wind speed, whereas water bodies have low
surface roughness and high wind speed. The surface roughness of
vegetation-covered areas and cropland is somewhere between. The air
convection will increase the sensible heat flux and reduce the AT (Sect. 4.2.1). Therefore, LULC and air convection will jointly enhance or weaken
the CUHII.</p></list-item></list>
On 11 August 2013, the average wind speed and the difference in wind speed
between different LULC types were small and so was the difference in
sensible heat flux. The difference in radiation and sensible heat flux was
the main factor. On 21 July 2017, the average wind speed was the highest,
and the synergy in the three aspects led to the CUHII over different LULC
types being highest in the built-up area, followed by cropland, vegetation,
and then water bodies. On 2 September 2015, the CUHII was highest in the
built-up areas, followed by vegetation, cropland, and then water bodies.
This was due to the influence of low wind speeds, which would have produced
heat transfer and made the CUHII shift from the built-up area to other LULC
types (Sect. 4.2.1).</p>
</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <label>4.2.3</label><title>Relationship between CUHI and urban structure</title>
      <p id="d1e2784">Human activities and urbanization have a significant impact on the spatial
distribution of UHI (Shahmohamadi et al., 2011; Li et al., 2020). To
explore this influence, concentric rings with various radii (5, 10, 15, 40 km) were created surrounding the city center. Within each ring,
the average values and error ranges of AHF and CUHII, along with the average
proportion of built-up area, were calculated. Figure 14 shows that the
CUHII, AHF, and proportion of built-up area all significantly decrease with
increasing distance to the city center.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F14" specific-use="star"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e2789">Changes in air temperature, AHF, and the
proportion of built-up areas with distance from the city center on <bold>(a)</bold> 11 August 2013, <bold>(b)</bold> 2 September 2015, and <bold>(c)</bold> 21 July 2017. Thick lines represent mean values, while shaded regions are the uncertainties of 1 standard deviation from the mean.</p></caption>
            <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f14.png"/>

          </fig>

      <?pagebreak page750?><p id="d1e2807">From a longitudinal perspective, the AHF and the proportion of built-up
areas both increased year by year. The built-up areas of Nanjing on the
three days were 982.78, 1076.19, and 1220.36 km<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>,
respectively. The proportion of built-up areas beyond 20 km to the city
center increased, especially within the range of 20–25 km. The AHF also
showed the same trend, which within the range of 20–25 km even exceeded
that in the range of 15–20 km on 2 September 2015 and 21 July 2017. This
shows that built-up areas and human influence were spreading from the city
center to the surrounding areas during this period. However, the intensity
and range of the CUHI did not increase with this trend, because the wind
field and weather background have a stronger influence on CUHI than
urbanization (Hong et al., 2018; Zong et al., 2021).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d1e2830">Based on the RF model and combined with local environment and background
weather data, the pattern and causes of CUHIs can be analyzed in detail. On
11 August 2013, Nanjing experienced a heatwave, with almost no horizontal
convection of air (Fig. 11a). In dry areas, such as built-up areas, the
latent heat flux remained unchanged, but the high reflectivity of the
surface raised the AT. In the heatwave period, the higher AT increased the
latent heat flux in rural areas (Khan et al., 2020). For example,
vegetation and water bodies alleviated the increase in AT in rural areas.
This combined effect exacerbated the difference in AT between the urban and
rural areas, making the overall CUHI the strongest (Nganyiyimana et al.,
2020; Meili et al., 2021). In Fig. 10a, it can be seen that the cooling
efficiency of vegetation in the urban area was not high and the coverage of
the cooling area was small. This is because the stomata of leaves would have
been closed under high AT and dry weather, resulting in reduced
evapotranspiration and increased AT (Manoli et al., 2019). On 2 September
2015, northwesterly winds prevailed (Fig. 11b), and there was abundant
water vapor over the hills of northeast Nanjing and over the Yangtze River.
The increase in latent heat flux and horizontal convection cooling lowered
the CUHII. Cold islands even appeared to the north of the Yangtze River. The
CUHII in the southeast direction was strong (Fig. 10b), which was mainly
affected by the heat transport of the prevailing winds (Chuanyan et
al., 2005), causing the CUHI to shift toward the downwind area. On 21 July
2017, southwesterly winds prevailed in Nanjing, with high wind speed,
decreasing the CUHII in the upwind region (Figs. 10c and 11c). However,
there were large areas of vegetation coverage in the range of 10–20 km in
the downwind region, where was affected by the combined effects of land use
and horizontal advection cooling, leading to lower CUHII there than that of
20–30 km. This also confirms the conclusion (Bassett et al.,
2016) that the upwind horizontal advection cooling has the strongest
correlation with the weakening of the CUHI effect, and that the downwind
region is affected by the wind speed.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e2835">Spatial distribution of canopy urban heat island intensity
(CUHII) in Nanjing during a heatwave period: <bold>(a)</bold> 12 August 2013; <bold>(b)</bold> 13 August 2013; <bold>(c)</bold> 14 August 2013.</p></caption>
        <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://amt.copernicus.org/articles/15/735/2022/amt-15-735-2022-f15.png"/>

      </fig>

      <p id="d1e2853">There are four main methods for retrieving AT for CUHII assessment:
<list list-type="order"><list-item>
      <p id="d1e2858">Statistical methods (Prihodko and Goward, 1997; Alonso and Renard,
2020; Li et al., 2021): statistical models of environmental factors and
temperature are established to evaluate the AT, such as multiple linear
regression models, partial least-squares regression, and GWR. In previous
study (Alonso and Renard, 2020), two methods of AT prediction (namely,
stepwise linear regression and GWR) were compared with the RF model. The RF
model has the highest accuracy and effectively avoids the problem of
autocorrelation by filtering variables, which is consistent with previous
work (Yoo et al., 2018; Zhu et al., 2019) and our present work, while
conventional statistical methods, in addition, cannot effectively solve
nonlinear problems (Oh et al., 2020).</p></list-item><list-item>
      <p id="d1e2862">Temperature–vegetation index method (VTX) (Stisen et
al., 2007; Vancutsem et al., 2010): this refers to inversion using the
relationship between AT, LST, and vegetation index under the premise that the
temperature of a dense vegetation canopy is similar to the AT. While VTX
only indicates the relationships between underlying surface, LST, and AT. In
fact, there are many factors that can affect AT, e.g., anthropogenic heat,
altitude, and distance to city. Ignoring these factors, the
accuracy of VTX method was low (Stisen et al., 2007). In
contrast, our RF model input multiple variables, including more affecting AT
factors.</p></list-item><list-item>
      <p id="d1e2866">Physical model methods: this category mainly constitutes the energy
balance method (Yang et al., 2018), which refers to the study of AT
inversion using the principle of energy balance. The physical model approach is
relatively complex, and the performance is highly dependent on the
understanding of the mechanism affecting AT, which can only address specific
problems, while the RF framework in this paper is relatively simple,
comprehensive, and suitable for different weather backgrounds.</p></list-item><list-item>
      <p id="d1e2870">Machine learning methods (Venter et al., 2020):  predictions are
made by establishing models of various variables and AT, such as RF models
or neural networks. Compared with other machine learning methods such as
neural networks (Astsatryan et al., 2021), the RF model has better
noise immunity and is suitable for small sample sizes in this study. Other
machine learning methods usually require a lot of data with little noise, so
the data cleaning before modeling will take more time. In future, we would
like to compare different machine learning methods to come up with a
consistently well-performing model, e.g., SVM and ANN. We will also use
stacking ensemble strategy to combine the advantages of different models and
get the best prediction results.</p></list-item></list></p>
      <?pagebreak page751?><p id="d1e2874">The RF prediction framework proposed in this work not only can dynamically
predict CUHII in detail and high frequency within highly heterogeneous
cities but can also  be built against different weather backgrounds, mainly
because the environmental parameters entered into the model are relatively
stable within a certain period (such as the same month or season). As long
as the environmental parameters are acquired once, they can be combined with
the AT data in real time to establish the RF model, and the spatial
distribution characteristics of CUHII with high temporal and spatial
resolution can be obtained. For instance, we randomly predicted the
30 m resolution AT and spatial distribution of CUHII (Fig. 15) with the
wind vector field (Fig. S3) during the heatwave period of 12–14 August
2012, thereby supporting those involved in making decisions with respect to
urban climate, urban planning, and urban energy consumption. Particularly,
the potential that our proposed model can be used cross a short period as
most of the environmental parameters fed to the model probably can remain
stable for some time, e.g., 1 month or even longer.</p>
      <p id="d1e2877">Due to changes in local weather conditions (e.g., precipitation and cloud
cover), however, there are various satellite-based LST samples and LST is usually
dynamical in 1 month, leading to uncertainties in predicting AT;
therefore, LST is not suitable to be an input variable for our present
model of CUHII. Except for human activities and LULC, the background weather
conditions (such as heatwaves, air pollution, atmospheric circulation, and
cloud cover) are also extremely important (Bassett et al., 2016; P. Yang et
al., 2020; Khan et al., 2020), which should be introduced to improve the RF
model of CUHII.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e2888">Taking Nanjing as an example and using remote sensing data with data from
local weather stations, parameters to characterize the urban environment
were constructed, e.g., anthropogenic parameters (i.e., AHF), geometric
parameters (distance from city center, proportions of LULC types by area,
altitude, and latitude and longitude, slope, and aspect), and physical
parameters (proportion of IS, surface albedo, NDVI, NDBI, SAVI, gNDVI, and
NDMI). A 2 km buffer zone was created around the meteorological stations,
and the observed environmental parameters were extracted. A refined
assessment framework of CUHII was then established by using random forest
model with observed AT and environmental variables.</p>
      <p id="d1e2891">Results showed that the correlation coefficient between the predicted and
observed AT was 0.731, and the average RMSE was 0.719 <inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
indicating the high accuracy of the RF model. Based on 1-month samples,
the <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> reached 0.986 and RMSE was 0.620 <inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Finally, the
high-spatial-resolution (30 m) CUHII distribution was analyzed. It was found
that the shape of the CUHII was highly correlated with the spatial
distribution of AHF and built-up area under calm wind conditions. Under the
prevailing wind conditions, the CUHII should be discussed separately in
upwind and downwind areas divided by the central city. In the upwind area,
there was a significant negative correlation between the wind speed and
CUHII. The higher the wind speed, the more obvious the negative correlation.
In the downwind area, horizontal convection cooling was found to be the
leading factor under high wind speed weather, and heat transfer was the
leading factor under low wind speed weather. The combined effects<?pagebreak page752?> of
built-up areas, heatwaves, and human factors can strengthen the CUHII, while
the vegetation canopy and water bodies will weaken it. Vegetation and water
bodies in the central urban area were found to have a significant cooling
effect, providing a reference for urban development. With increasing
distance from the city center, the CUHII decreased sharply.</p>
      <p id="d1e2923">In general, overlapping the refined CUHII with local environmental variables
and weather conditions helps to explore the causes of CUHIs in more detail,
instead of being limited to the location of meteorological sites and
frequent changes in various types of weather. The new 30 m resolution CUHII
evaluation framework developed in this study has strong portability and
important practical value. Our findings are helpful for improving our
understanding of the relationship between human activities and regional
climate change, which can provide important guidance for urban development
planning and allocation of public resources in the context of global warming
and rapid urbanization.</p>
</sec>

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

      <p id="d1e2930">The model in this paper is based on the random forest data package in the R language, and our implementation and analysis code are available upon request to the corresponding author (yyj1985@nuist.edu.cn).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e2936">Landsat 8 OLI datasets
(<uri>http://www.gscloud.cn/sources/index?pid=263&amp;rootid=1&amp;label=Landsat8&amp;sort=priority&amp;page=1</uri>, last access: 10 April 2021; Computer Network Information Center, 2021a) were used to retrieve IS area, LULC, and NDVI. Nighttime light satellite datasets
(<uri>http://ngdc.noaa.gov/eog/dmsp/downloadV4composites.html</uri>, last access: 10 April 2021; National Centers for Environmental Information, 2021) were used to retrieve AHF, surface
meteorological observations were collected from the China Meteorological
Data Service Center (<uri>http://data.cma.cn/en</uri>, last access: 10 April 2021), and DEM was obtained from geospatial data (<uri>http://www.gscloud.cn/sources/accessdata/310?pid=302</uri>, last access: 10 April 2021; Computer Network Information Center, 2021b).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2951">The following data are available online: Sect. S1: specific inversion steps of related environmental variables. Section S2: stepwise linear regression and geographically weighted regression. Section S3: table and caption. Table S1: band ranges and the main use of Landsat 8 OLI. Section S4: figures and captions. Figure S1: the performance of the RF models under different variable combinations. Figure S2: the predicted error of the air temperature by random forest: (a) 11 August 2013; (b) 2 September 2015; (c) 21 July 2017. Figure S3: spatial distribution of air temperature and wind vector field in Nanjing and the reference rural area during 12–14 August 2013. The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-15-735-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-15-735-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2960">YY was responsible for conceptualisation, supervision, and funding acquisition. SC developed the software and prepared the original draft. SC and YY developed the methodology and carried out formal analysis. SC and YZ were responsible for data curation, validation, and visualisation. FD, YZ, DL, CL, ZG, and YY reviewed and edited the text.​​​​​​​</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2966">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e2972">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2978">We are sincerely grateful to editor and three  anonymous reviewers for their valuable time spent on reviewing our manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2984">This research has been supported by the National Natural Science Foundation of China (grant nos. 42175098 and 42061134009) and the University Student Innovation Training Project of Nanjing University of Information Science and Technology (grant no. 201910300283).​​​​​​​</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2990">This paper was edited by Cheng Liu and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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