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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-17-2147-2025</article-id><title-group><article-title>U-Surf: a global 1 km spatially continuous urban surface property dataset for kilometer-scale urban-resolving Earth system modeling</article-title><alt-title>U-Surf</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Cheng</surname><given-names>Yifan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0618-5830</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Zhao</surname><given-names>Lei</given-names></name>
          <email>leizhao@illinois.edu</email>
        <ext-link>https://orcid.org/0000-0002-6481-3786</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff4">
          <name><surname>Chakraborty</surname><given-names>TC</given-names></name>
          <email>tc.chakraborty@pnnl.gov</email>
        <ext-link>https://orcid.org/0000-0003-1338-3525</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Oleson</surname><given-names>Keith</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Demuzere</surname><given-names>Matthias</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3237-4077</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Liu</surname><given-names>Xiaoping</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Che</surname><given-names>Yangzi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1654-1170</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff7">
          <name><surname>Liao</surname><given-names>Weilin</given-names></name>
          <email>liaoweilin@mail.sysu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-9681-6631</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Zhou</surname><given-names>Yuyu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Xinchang “Cathy”</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6972-2376</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Civil and Environmental Engineering, University of Illinois Urbana-Champaign, Urbana, IL, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute for Sustainability, Energy, and Environment (iSEE), University of Illinois Urbana-Champaign, Urbana, IL, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>National Center for Supercomputing Applications, University of Illinois Urbana-Champaign, Urbana, IL, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Atmospheric, Climate, and Earth Sciences Division, Pacific Northwest National Laboratory, Richland, WA, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Climate and Global Dynamics Laboratory, NSF National Center for Atmospheric Research, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>B-Kode VOF, Ghent, Belgium</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Guangdong Key Laboratory for Urbanization and Geo-simulation, School of Geography and Planning, Sun Yat-sen University, Guangzhou 510275, China</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Department of Geography, The University of Hong Kong, 999077, Hong Kong SAR, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Lei Zhao (leizhao@illinois.edu), TC Chakraborty (tc.chakraborty@pnnl.gov), and Weilin Liao (liaoweilin@mail.sysu.edu.cn)</corresp></author-notes><pub-date><day>21</day><month>May</month><year>2025</year></pub-date>
      
      <volume>17</volume>
      <issue>5</issue>
      <fpage>2147</fpage><lpage>2174</lpage>
      <history>
        <date date-type="received"><day>16</day><month>September</month><year>2024</year></date>
           <date date-type="rev-request"><day>1</day><month>October</month><year>2024</year></date>
           <date date-type="rev-recd"><day>24</day><month>January</month><year>2025</year></date>
           <date date-type="accepted"><day>24</day><month>February</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Yifan Cheng et al.</copyright-statement>
        <copyright-year>2025</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025.html">This article is available from https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e225">High-resolution urban climate modeling has faced substantial challenges due to the absence of a globally consistent, spatially continuous, and accurate dataset to represent the spatial heterogeneity of urban surfaces and their biophysical properties. This deficiency has long obstructed the development of urban-resolving Earth system models (ESMs) and ultra-high-resolution urban climate modeling, over large domains. Here, we present U-Surf, a first-of-its-kind 1 km resolution present-day (circa 2020) global continuous urban surface parameter dataset. Using the urban canopy model (UCM) in the Community Earth System Model as a base model for satisfying dataset requirements, U-Surf leverages the latest advances in remote sensing, machine learning, and cloud computing to provide the most relevant urban surface biophysical parameters, including radiative, morphological, and thermal properties, for UCMs at the facet and canopy level. Generated using a systematically unified workflow, U-Surf ensures internal consistency among key parameters, making it the first globally coherent urban canopy surface dataset. U-Surf significantly improves the representation of the urban land heterogeneity both within and across cities globally; provides essential, high-fidelity surface biophysical constraints to urban-resolving ESMs; enables detailed city-to-city comparisons across the globe; and supports next-generation kilometer-resolution Earth system modeling across scales. U-Surf parameters can be easily converted or adapted to various types of UCMs, such as those embedded in weather and regional climate models, as well as air quality models. The fundamental urban surface constraints provided by U-Surf can also be used as features for machine learning models and can have other broad-scale applications for socioeconomic, public health, and urban planning contexts. We expect U-Surf to advance the research frontier of urban system science, climate-sensitive urban design, and coupled human–Earth systems in the future. The dataset is publicly available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.11247598" ext-link-type="DOI">10.5281/zenodo.11247598</ext-link> (Cheng et al., 2024).</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Science Foundation</funding-source>
<award-id>2145362</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Center for Atmospheric Research</funding-source>
<award-id>1852977</award-id>
</award-group>
<award-group id="gs3">
<funding-source>National Aeronautics and Space Administration</funding-source>
<award-id>80NSSC25K7322</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Horizon 2020</funding-source>
<award-id>101137851</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e240">Urban areas are global hotspots of climate hazards (Intergovernmental Panel On Climate Change, 2023; Robinson et al., 2021; Tabari, 2020; van der Wiel and Bintanja, 2021; Zhao et al., 2021), exposure (Chen et al., 2023; Li et al., 2019; Yang et al., 2023), and vulnerability (Ajjur and Al-Ghamdi, 2021; Lobo et al., 2023) due to the uniqueness of local urban climates (Baklanov et al., 2018; Cao et al., 2016; Chakraborty et al., 2023; Li and Bou-Zeid, 2013; Zhan et al., 2023, p. 201; Zhao et al., 2014, 2018); the concentration of population, infrastructure, and capital assets (Gao and Bukovsky, 2023; Masson et al., 2020; Shu et al., 2023); and the mixture of diverse communities and socio-ethnic groups (Islam and Winkel, 2017; Kim et al., 2021). With an additional 2.5 billion people being projected to reside in urban areas by 2050 (United Nations, 2019), these climate-driven risks are expected to be exacerbated in future warmer climates (Intergovernmental Panel On Climate Change, 2015). This inevitable urbanization coupled with climate change will expose cities and their residents to greater risks across the world (Feng et al., 2021; Gao and Bukovsky, 2023; Scheuer et al., 2017; Sjöstrand, 2022) but also presents a historic and time-sensitive opportunity to mitigate and adapt to negative climate impacts (Krayenhoff et al., 2018; Zhao, 2018; Zhao et al., 2017). To address this grand challenge, it is urgent to better understand urbanization and its complex two-way interactions with climate across spatiotemporal scales. Achieving this goal, however, requires advanced data and tools that realistically resolve urban land in models such as mesoscale weather models, Earth system models (ESMs), and Earth system digital twins (Li et al., 2023a), both to better understand cities and their impacts and for planning effective climate adaptation and mitigation strategies (Krayenhoff et al., 2021).</p>
      <p id="d2e243">In light of the increasingly recognized importance of urban climatic impacts, substantial efforts to represent urban landscapes in local-to-regional climate models have been reported in the past decade, including improved urban-scale process representations (Chen et al., 2011; Conigliaro et al., 2021; Jongen et al., 2024; Langendijk et al., 2024; Lipson et al., 2024) and surface input datasets (Ching et al., 2018; He et al., 2023; Qi et al., 2024; Sun et al., 2021). Urban representation in global-scale models, however, is significantly lagging. This is because an urban canopy model (UCM) is largely missing in most state-of-the-art ESMs or global climate models (Hertwig et al., 2021; Zhao et al., 2021; Zheng et al., 2021). This omission will become an even more critical issue in the future as next-generation ESMs are expected to run at kilometric scales (Schär et al., 2020, 2021; Wang et al., 2022; Yuan et al., 2023), at which point resolving urban areas, their unique biophysical properties, changes over time, and interactions with broader-scale systems will inevitably be required (Chakraborty and Qian, 2024; Grimmond et al., 2011; Sharma et al., 2021). One primary roadblock that has prevented the development of urban-resolving ESMs and accurate global urban climate modeling for decades is the lack of globally consistent estimates of urban surface properties, which are critical model inputs, especially at fine resolutions.</p>
      <p id="d2e246">Currently, there is no global and spatially continuous urban dataset that can provide all relevant biophysical parameters for UCMs that can be used in state-of-the-art ESMs across scales (Masson et al., 2020). Unlike local- and regional-scale studies using mesoscale UCMs, for which the urban surface parameters usually rely on either simple lookup tables or user-supplied locally defined physical descriptions of the study area, common UCMs embedded in ESMs need complete, fine-resolution, globally and internally consistent, and spatially explicit urban surface parameters. These parameters are required at the facet and canopy level to be in line with the structural assumptions of the underlying model and, therefore, are dramatically challenging to produce at the global scale.</p>
      <p id="d2e249">An urban surface dataset created by Jackson et al. (2010) (hereafter referred to as J2010) is, to our knowledge, the only available global dataset to date that can provide all the required UCM parameters for Earth system modeling in a globally consistent manner. This dataset was developed by synthesizing population density estimates, satellite data, existing literature, building codes, and municipal documentation. This dataset and its updated version (Oleson and Feddema, 2020) serve as the default urban surface property input for the Community Earth System Model version 2 (CESM2) (Danabasoglu et al., 2020) and the Energy Exascale Earth System Model (E3SM) (Golaz et al., 2022). Compiled at a time when fine-resolution geospatial data were very scarce, J2010 is coarse-grained, spatially discontinuous, and somewhat outdated (valid for circa 2000) and, hence, poorly constrains the spatial heterogeneity of urban properties within cities and across the world. J2010 clusters the global urban areas into 33 distinct regions with similar climates, socioeconomic characteristics, and architectural practices (Fig. S1 in the Supplement), with properties defined within each region for up to four urban density classes: low density (LD), medium density (MD), high density (HD), and tall-building district (TBD). These density classes are classified based on morphological features (including building height, pervious areal fraction, canyon height-to-width ratio, and typical building type) and population density. The dataset then prescribes uniform surface properties to each density type within a region. These simplistic, coarse-grained, and region-based urban property constraints impede its application in resolving the true heterogeneity of cities and their interactions with background climate, especially relevant for high-resolution urban climate modeling.</p>
      <p id="d2e253">The recent development of the Local Climate Zone (LCZ) framework (Stewart and Oke, 2012) provides another potential means to supply spatially explicit urban parameters to regional and global models. LCZ standardizes a common descriptive methodology to classify land surfaces into 10 built and 7 natural land cover types, each associated with some prescribed ranges of values for a subset of (mostly morphological) parameters. Compared to the widely used conventional land cover maps or density classes, LCZs are a step forward for representing some additional spatial heterogeneity of urban landscapes (Demuzere et al., 2022a). Many high-resolution regional (Demuzere et al., 2021; Huang et al., 2021; Qi et al., 2024) and global (Demuzere et al., 2022a) LCZ raster maps have been produced in recent years, greatly advancing the description of urban typologies at large scales in a “universal” way. However, a critical gap that remains is the matter of how to determine the urban canopy parameters based on the LCZ raster maps. A common approach currently relies on referring to the predefined value ranges from the original LCZ typology (Demuzere et al., 2022b; Stewart and Oke, 2012; Sun et al., 2021), which essentially remains a lookup-table method with large degrees of freedom. Similarly to J2010, in the LCZ framework, the inherent assumption of uniformity within each zone, i.e., cities located in different countries and diverse climate regimes being assigned the same set of parameters if classified as one LCZ type, oversimplifies the complexity and heterogeneity of urban surfaces. In addition, LCZs, by their very nature, largely describe typologies of urban morphology, but other characteristics such as radiative properties and construction materials are less well defined and are subject to large uncertainties (Hidalgo et al., 2019; Masson et al., 2020). More importantly, these properties can be frequently decoupled from that morphology, meaning that the complete set of parameters used as model inputs are not internally consistent.</p>
      <p id="d2e256">To address this long-standing urban representation challenge at large scales and to facilitate next-generation kilometer-scale urban-resolving Earth system modeling, we develop a first-of-its-kind global high-resolution (1 km) urban surface dataset, namely U-Surf, to support urban climate modeling across scales. The development of U-Surf is enabled by the latest advances in high-resolution remote sensing measurements from recent satellite missions, new algorithms to derive satellite-derived products, building footprint estimates from global-scale image segmentation methods, and advancements in hybrid cloud supercomputing. We use the urban scheme in CESM2's land model (Community Land Model or CLM) as the base model to develop the dataset as it is one of the very few state-of-the-art ESMs with an urban canopy representation. Nevertheless, the derived parameters in U-Surf can be easily adapted to other mesoscale weather or global climate models such as The Weather Research and Forecasting Model (WRF) and E3SM, with the latter using a UCM identical to that in CLM version 4.5. The U-Surf data do not rely on any coarse-graining (clustering) but instead estimate the facet- and canyon-level surface properties in a spatially continuous manner at 1 km resolution. Therefore, the final U-Surf product provides a global, internally consistent and comprehensive set of urban surface inputs for UCMs, captures the fine-scale spatial heterogeneity both within and across cities, and markedly advances the potential for urban representation in weather and climate models across scales. In addition to its applications in climate modeling, U-Surf data could be used directly as input features for machine learning models and can also be leveraged for other non-climatic modeling exercises, analyses, or applications in the energy, geography, and socioeconomic fields.</p>
      <p id="d2e259">This paper is organized as follows. Section 2 details the data sources and methodology employed in developing the dataset. Section 3 presents the spatial distributions of the newly created 1 km resolution dataset, highlighting selected parameters across various scales. Sections 4 and 5 discuss the broad implications of the dataset, the current limitations, and potential future work. Section 6 provides information on and links for accessing the dataset in different formats and the associated Google Earth Engine (GEE) web application, while Sect. 7 provides concluding remarks.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Urban representation in CESM2</title>
      <p id="d2e277">The current version of the U-Surf dataset is based on the urban parameterization scheme embedded in the CESM2 for two reasons. First, CESM2 is one of the very few state-of-the-art ESMs with a physically based UCM – the Community Land Model Urban (CLMU) (Lawrence et al., 2019; Oleson and Feddema, 2020). The CLMU has been evaluated against site observations and satellite measurements across the world with consistently reasonable agreement (Demuzere et al., 2008, 2013, 2014, 2017; Fitria et al., 2019; Li et al., 2024a, b; Lin et al., 2016; Oleson et al., 2008a, b; Zhang et al., 2023a; Zhao et al., 2014, 2021) and has also demonstrated high credibility among various UCMs in the recent Urban-PLUMBER multi-model comparison project (Lipson et al., 2024). Second, the urban canopy concept that the CLMU uses is widely adopted in various UCMs embedded in weather models and regional climate models (RCMs). Therefore, a dataset developed based on this conceptual representation can be easily extended to other UCMs within climate and weather models.</p>
      <p id="d2e280">The urban canopy representation used in the CLMU and many other UCMs is called an “urban-canyon” schema, where the urban landscape at a given location is conceptualized as an infinite urban canyon (Fig. 1). This canyon hypothesis assumes a geometry of an infinitely long street bordered by two building walls with identical height. An urban canyon consists of five facets: building roof, impervious (e.g., roads, parking lots, sidewalks) and pervious (e.g., lawns, street trees, parks) canyon floors, and sunlit and sun-shaded walls (Oleson et al., 2008a). This conceptual representation reduces the considerable complexity of urban surfaces into a single urban canyon and yet provides an essential base to represent key urban biogeophysical processes effectively. The UCMs using this approach therefore require sets of properties at both the facet and canopy level to represent urban landscapes and model their interactions with the lower atmosphere in climate and/or weather simulations. These properties can generally be grouped into three categories: morphological (e.g., canyon height-to-street-width ratio, roof fraction, average building height, and pervious canyon floor fraction), radiative (e.g., facet-level albedo and emissivity), and thermal (e.g., heat capacity and thermal conductivity) (Fig. 1 and Table 1). These surface properties characterize the “urban areas” and are critical for constraining their surface energy budget and, thus, the near-surface microclimate in weather and climate models. More details about the CLMU parameterization scheme and its evolution over the years can be found in Jackson et al. (2010), Lawrence et al. (2019), Li et al. (2024b), Oleson et al. (2008a, b), and Oleson and Feddema (2020).</p>

      <fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e285">Conceptual schematic of an urban canyon to represent urban landscapes in the CLMU (adapted from Oleson et al., 2008a). Properties are color-coded: blue for radiative, orange for thermal, and green for morphological. Note that roof and wall thickness (despite being related to urban morphology) are considered to be thermal properties as they are primarily used as weighting factors to calculate conduction fluxes into and out of canyon surfaces in the CLMU (Lawrance et al., 2018; Oleson et al., 2010).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f01.png"/>

        </fig>

<table-wrap id="Ch1.T1" specific-use="star"><label>Table 1</label><caption><p id="d2e298">Data sources and retrieval methods for each urban parameter in U-Surf and the CLMU dataset.</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="justify" colwidth="4cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="7cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="7cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Category</oasis:entry>
         <oasis:entry colname="col2" align="left">Urban parameters</oasis:entry>
         <oasis:entry colname="col3" align="left">U-Surf</oasis:entry>
         <oasis:entry colname="col4" align="left">CLMU</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Radiative</oasis:entry>
         <oasis:entry rowsep="1" colname="col2" align="left">Roof emissivity  Impervious canyon floor emissivity  Pervious canyon floor emissivity  Wall emissivity<sup>a</sup></oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">–  Source: 100 m ASTER v3 emissivity product (Hulley et al., 2015) and broadband emissivity algorithm (Malakar et al., 2018; Ogawa et al., 2008)  –  Time span: static, representing 2000–2008  –  Spatial resolution: 1 km</oasis:entry>
         <oasis:entry colname="col4" align="left">–  Source: local building codes, municipal documentation, literature, satellite imagery (Jackson et al., 2010; Oleson and Feddema, 2020)  –  Time span: 1966–2007  –  Spatial resolution: regional level, density class specific</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2" align="left">Roof albedo  Impervious canyon floor albedo  Pervious canyon floor albedo  Wall albedo<sup>a</sup></oasis:entry>
         <oasis:entry colname="col3" align="left">–  Source: 10 m Sentinel-2 albedo product (Lin et al., 2022) and narrow-to-broadband algorithm (Bonafoni and Sekertekin, 2020)  –  Time span: 2019–2021  –  Spatial resolution: 1 km</oasis:entry>
         <oasis:entry colname="col4" align="left"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Morphological</oasis:entry>
         <oasis:entry rowsep="1" colname="col2" align="left">Building height</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">–  Source: 3D-GloBFP (Che et al., 2024) and 3D building structure (Li et al., 2022)  –  Time span: 2014–2023 and circa 2015  –  Spatial resolution: 1 km</oasis:entry>
         <oasis:entry colname="col4" align="left">–  Source: local building codes, municipal documentation, literature, satellite imagery (Jackson et al., 2010; Oleson and Feddema, 2020)  –  Time span: 2000–2007  –  Spatial resolution: regional level, density class specific</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2" align="left">Canyon height-to-width ratio</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">–  Source: infinite canyon street model (Masson et al., 2020)  –  Time span: 2014–2022  –  Spatial resolution: 1 km</oasis:entry>
         <oasis:entry colname="col4" align="left"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2" align="left">Roof fraction</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">–  Source: Microsoft global building footprints (Microsoft, 2022), East Asia building footprints (Shi et al., 2024)  –  Time span: 2014–2022  –  Spatial resolution: 1 km</oasis:entry>
         <oasis:entry colname="col4" align="left"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2" align="left">Pervious canyon floor fraction</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">–  Source: 10 m ESA WorldCover v200 (Zanaga et al., 2022)  –  Time span: 2021  –  Spatial resolution: 1 km</oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2" align="left">Urban percentage</oasis:entry>
         <oasis:entry colname="col3" align="left">–  Source: building footprints (Microsoft, 2022; Shi et al., 2024) and ESA (Zanaga et al., 2022)  –  Time span: 2014–2022  –  Spatial resolution: 1 km</oasis:entry>
         <oasis:entry colname="col4" align="left">–  Source: LandScan global population database Oak Ridge National Laboratory, 2005)  –  Time span: 2004  –  Spatial resolution: 1 km</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Thermal</oasis:entry>
         <oasis:entry rowsep="1" colname="col2" align="left">Air-conditioning (AC) penetration rate</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">–  Source: global AC penetration rate and constant maximum interior building temperature of 300 K (Li et al., 2024b)  –  Time span: present-day, loosely defined as 2010–2020  –  Spatial resolution: national and sub-national level</oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">AC penetration rate is not explicitly modeled in the CLMU as of CLM5 (Oleson and Feddema, 2020); maximum interior building temperature is varied by region and density class.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2" align="left">Number of impervious canyon layers  Maximum interior building temperature  Roof thickness Wall thickness Minimum interior building temperature Roof thermal conductivity Impervious canyon thermal conductivity Wall thermal conductivity Roof volumetric heat capacity Impervious canyon volumetric heat capacity Wall volumetric heat capacity</oasis:entry>
         <oasis:entry colname="col3" align="left">–  Source: local building codes, municipal documentation, literature, satellite imagery  (Jackson et al., 2010; Oleson and Feddema, 2020)  –  Time span: 1966–2007  –  Resolution: regional level, density class specific<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e301"><sup>a</sup> Wall emissivity and albedo are derived by leveraging the remote sensing data and CESM2 default J2010 radiative data, which were based on building materials;<sup>b</sup> Although thermal properties in U-Surf are provided at a 1 km resolution, the values are derived from the regional-level and density-class-specific properties from Oleson and Feddema (2020).</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Development of the U-Surf urban parameters</title>
      <p id="d2e594">The new urban surface parameter dataset, U-Surf, describes the global urban areas in a spatially continuous manner, providing all the required parameters in three categories (radiative, morphological, and thermal) that are compatible with the urban canyon representation in the CLMU and, potentially, in UCMs. We developed a multi-step workflow on the Google Earth Engine platform (Gorelick et al., 2017) that leverages four key categories of data: segmented land use–land cover maps, 3D building footprints, high-resolution satellite observations, and thermal properties of construction materials. Utilizing these, we first generated segmented urban imagery, which distinguishes among different facets. Then we integrated this imagery with satellite observations to derive facet-level radiative properties and fractional parameters. From there, we synthesized multiple data sources to construct the 3D urban canyon morphological attributes. Finally, we incorporated existing databases to produce thermal properties (Fig. 2).</p>

      <fig id="Ch1.F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e599">Overview of data synthesis workflow, including individual data sources and examples of final data product layers. The satellite images are accessible through and workflow is implemented on Google Earth Engine (Gorelick et al., 2017).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f02.png"/>

        </fig>

<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Radiative parameters</title>
      <p id="d2e615">To derive facet-level radiative properties, we first needed to identify individual facets such as building roofs and impervious and pervious ground within each 1 km grid. Here, in this study, we use the open-source vector-based Microsoft global building footprints dataset (hereafter referred to as MS-BFP; Microsoft, 2022) in conjunction with the East Asia building footprints (hereafter referred to as EA-BFP) from Shi et al. (2024) and Che et al. (2024) to identify building roofs. The additional East Asia dataset is necessary due to the insufficient building vectors in the current version of MS-BFP for that region. We then combined these data with the European Space Agency (ESA) WorldCover (Zanaga et al., 2022), a 10 m resolution global land cover product based on Sentinel-1 and Sentinel-2 data, to characterize impervious and pervious canyon floors. We choose the ESA WorldCover instead of other available global 10 m land cover products since its “built-up” class is, in terms of definition, consistent with the impervious surfaces in the CLMU (Chakraborty et al., 2024). Accordingly, the impervious canyon floor was estimated by subtracting the roof pixels (derived from the MS-BFP and EA-BFP vectors) from areas classified as “built-up”, whereas pervious surfaces were estimated by aggregating the “tree cover”, “shrubland”, “grassland”, and “bare or sparsely vegetated” areas identified in the ESA WorldCover. This process results in a segmented global urban facet image that serves as the foundation for our subsequent derivation of facet- and canopy-level radiative and morphological parameters.</p>
      <p id="d2e618">This facet-segmented image was then applied to the Advanced Spaceborne Thermal Emission and Reflection (ASTER) Global Emissivity Dataset 100 m V003 product (hereafter referred to as ASTER GEDv3; Hulley et al., 2015) and the Sentinel-2 land surface albedo data (Lin et al., 2022) to extract the emissivity and albedo of building roof and impervious and pervious ground. The static emissivity imagery is composited from clear-sky (cloud-free) pixels for all available ASTER data from 2000 to 2008 (Hulley et al., 2015) to represent the emissivity climatology over this period. We use a linear spectral-to-broadband algorithm (Malakar et al., 2018) to estimate the broadband emissivity from ASTER GEDv3 bands (Eq. 1):
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M6" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.128</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.014</mml:mn><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msubsup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.145</mml:mn><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msubsup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.241</mml:mn><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msubsup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.467</mml:mn><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msubsup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.004</mml:mn><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            where <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the broadband emissivity, and <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> denote the ASTER mean emissivity of bands 10 to 14, respectively, which are the five thermal infrared bands with 90 m resolution.</p>
      <p id="d2e749">Note that the 100 m resolution of ASTER GEDv3 could be too coarse for certain small individual facets (e.g., small rooftops, narrow roads between buildings) and, thus, could be a potential source of uncertainty. However, given the relatively narrow range of emissivity values (i.e., near blackbody) of typical materials and natural surfaces (Oke et al., 2017), this uncertainty is likely to be small.</p>
      <p id="d2e752">For albedo, we used a 10 m land surface blue-sky albedo product retrieved from Sentinel-2 which covers nearly 2300 major cities across the globe (Lin et al., 2022). For the rest of the global urban areas, we applied the narrow-to-broadband conversion method (Bonafoni and Sekertekin, 2020) to estimate the 10 m resolution albedo based on Sentinel-2 surface reflectance (Eq. 2). Both the blue-sky albedo product and the narrow-to-broadband calculated albedo are derived using the Sentinel-2 imageries composited from 2019 to 2021. The blue-sky albedo product only includes cloud-free images. For the narrow-to-broadband algorithm, we use the Cloud Score<inline-formula><mml:math id="M10" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (CS<inline-formula><mml:math id="M11" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>) dataset (Pasquarella et al., 2023) to mask out the cloud-contaminated pixels, where pixels with a CS<inline-formula><mml:math id="M12" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> quality assessment score below 0.8 were excluded.
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M13" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2266</mml:mn><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.1236</mml:mn><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.1573</mml:mn><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.3417</mml:mn><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.1170</mml:mn><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.0338</mml:mn><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            In the above, <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is the broadband surface albedo, and <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represent the surface reflectance for bands B2 to B12 of the Sentinel-2 Multispectral Imager (MSI), respectively. The 10 m resolution Sentinel-2 albedo data provide the fine granularity to differentiate between the roof and the impervious and pervious canyon floor.</p>
      <p id="d2e912">The derived facet-level emissivity and albedo were then aggregated to the 1 km grids using an area-weighted approach:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M17" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mn mathvariant="normal">99</mml:mn></mml:msubsup><mml:msubsup><mml:mi>w</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mn mathvariant="normal">99</mml:mn></mml:msubsup><mml:msubsup><mml:mi>w</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi>i</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msubsup><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mn mathvariant="normal">9999</mml:mn></mml:msubsup><mml:msubsup><mml:mi>w</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi>i</mml:mi></mml:msubsup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="italic">α</mml:mi><mml:mi>i</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mn mathvariant="normal">9999</mml:mn></mml:msubsup><mml:msubsup><mml:mi>w</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi>i</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> denote 1 km emissivity and albedo, respectively, for a certain facet (roof, impervious canyon floor, or pervious canyon floor), and <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msubsup><mml:mi>w</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi>i</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is the area fraction of a certain facet within each 100 or 10 m grid cell derived from the 1 0m segmented imagery. The subscript f stands for each individual facet. For example, when calculating roof emissivity and albedo, <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msubsup><mml:mi>w</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi>i</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is the roof fraction within each 100 and 10 m grid cell, respectively.</p>
      <p id="d2e1136">Because satellites mostly sample roofs (canopy tops) and canyon floors, wall emissivity and albedo can hardly be measured from passive satellite remote sensing. To address this issue, we leveraged the CLMU radiative data which were based on building materials. Specifically, for wall emissivity, we assume it has the same or similar emissivity as its building roof since the wall surfaces within the same building could either have analogous material compositions in interior layers with roofs or not deviate much in terms of emissivity value given the nature of its narrow range. This will be further discussed in the “Results and discussion” section (Sect. 3.1 and 3.2). For wall albedo, we assume that the ratio of material-based roof albedo to wall albedo in J2010 approximately holds for our data. We then applied this roof-to-wall albedo ratio calculated from J2010 to our new satellite-based roof albedo to derive the wall albedo at each 1 km grid.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Morphological parameters</title>
      <p id="d2e1148">The morphological parameters in the urban-canyon conceptual model (particularly the fractional parameters) are normally defined with respect to the corresponding urban landscape. In U-Surf, we combined the global urban boundaries (GUBs, Li et al., 2020a) and the ESA WorldCover data to identify and sufficiently preserve urban or built-up landscapes as much as possible. Developed based on the global artificial impervious area data (Gong et al., 2020), the GUB dataset provides a collection of physical boundaries of global urban extents. We first overlaid the GUB polygons with the ESA WorldCover map to identify all urban surfaces recognized by GUBs. For the grids falling outside of the urban boundaries, we applied a 10 <inline-formula><mml:math id="M22" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 (i.e., 100 m <inline-formula><mml:math id="M23" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m) window to the ESA WorldCover data and calculated the built-up fraction (i.e., the sum of roof and impervious canyon floor fraction) within the window. If the built-up fraction is larger than 10 %, we define the window as urban. We chose a threshold of 10 %, which is at the lower end of the typical thresholds used in the literature (10 %–30 %), to preserve as many urban grids as possible. The urban fraction was then calculated based on the proportional areas of roof and impervious and pervious canyon floor following the GUB-defined thresholds. Although this will likely result in an inclusion of some sub-urban landscapes in the U-Surf raw data, users have the flexibility to apply stricter criteria (larger built-up thresholds) to extract urban grids according to their own definition. This approach is designed to maximize the retention of grids, ensuring U-Surf's adaptability to various user-defined urban extents (Fig. 2; e.g., Gao and O'Neill, 2020; Li et al., 2021; Zhao et al., 2022; Zhou et al., 2015). The roof fraction is then defined as the ratio between roof area and urban horizontal surface area, where roof area is calculated from the building footprint polygons. Consistently with the definition in the CLMU, the pervious fraction is defined as the ratio of the pervious canyon floor to the sum of impervious and pervious canyon floors.</p>
      <p id="d2e1165">The building height (<inline-formula><mml:math id="M24" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>) was obtained primarily from the 3D-GloBFP data (Che et al., 2024) and supplemented by another building height dataset by Li et al. (2022) to maximize the spatial coverage. 3D-GloBFP is a global building height dataset at a building footprint scale recently developed by leveraging a combination of synthetic aperture radar (SAR); optical imagery; terrain, population, and nighttime light data primarily covering 2014 to 2023; and an XGBoost machine learning approach. We aggregated the vector-level height to 1 km grids using area-weighted averages. The second global building height dataset (Li et al., 2022) is a raster map at 1 km spatial resolution that also utilizes radar and optical satellite imagery, along with additional geographical information circa 2015. To comply with the CLMU requirement, we calculated another building-height-related parameter: the height at which wind speed in urban canyons is computed. This parameter is simply set at half the building height in the current version of the CLMU, providing a standardized reference point for wind calculations in urban environments.</p>
      <p id="d2e1175">The canyon height-to-width ratio (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi></mml:mrow></mml:math></inline-formula>, i.e., the ratio of building height to canyon width) is another critical morphological parameter that is widely used in most UCMs, including the CLMU. It is a proxy parameter that captures the structural layout and compactness of the built area. Unlike other parameters that can be directly measured by satellite data, <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi></mml:mrow></mml:math></inline-formula> needs to be derived on the basis of model geometry and assumptions. Consistently with the single-layer urban-canyon geometry in UCMs, the <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi></mml:mrow></mml:math></inline-formula> in this study is estimated using the 2D infinite street canyon model with two recommended primary parameters, building fraction (or plan area density; <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and wall surface density (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) (Masson et al., 2020):
              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M30" display="block"><mml:mrow><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated as the ratio between the surface wall area that is in direct contact with the atmosphere (i.e., external wall surfaces, <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the horizontal urban surfaces, as represented in the building footprints (Microsoft, 2022; Che et al., 2024; Shi et al., 2024), and <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the building fraction (i.e., roof fraction) as described above. The external wall surfaces area is estimated by
              <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M34" display="block"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M35" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the number of buildings, the average perimeter of buildings, and the height of buildings within each 1 km grid, respectively.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Thermal parameters</title>
      <p id="d2e1379">The requirements of thermal parameters are relatively diverse compared to radiative and morphological parameters among various UCMs, depending not only on the UCM's parameterization itself but also on whether and what type of a building energy model is in place (Reinhart and Cerezo Davila, 2016; Sezer et al., 2023). The thermal parameters required in the CLMU include the volumetric heat capacity and thermal conductivity of roofs, impervious canyon floors and walls, the thickness of roofs and walls, the minimum and maximum building interior temperature, and the penetration rate of air conditioning (AC). These parameters are exceptionally challenging to acquire on a large scale as they cannot be detected by satellite remote sensing. The most feasible way to estimate these parameters by far is still from information about the dominant construction materials combined with local surveys and building codes, which is largely the approach used in J2010.</p>
      <p id="d2e1382">However, because of the coarse resolution of previous versions of the CLMU, the capability of the J2010 thermal parameter data has not yet been taken full advantage of. Here, we adapt the thermal parameters from J2010 raw data to U-Surf, aiming to better leverage its material-based estimates. J2010 compiled a comprehensive lookup table based on the thermal properties of 49 types of construction materials from imagery, construction data, and documentation by country (Jackson et al., 2010). This table includes the thickness, thermal conductivity, and volumetric heat capacity of up to 10 layers for common types of roofs, walls, and roads (layers with identical materials are allowed) (Oleson and Feddema, 2020). As these thermal parameters are provided in a lookup table instead of a geospatially explicit format, we need to map the table values to each 1 km grid in U-Surf. In order to do this, we classified 1 km U-Surf urban grids into four nominal density classes – TBD (0.016 % of the pixels), HD (3.83 %), MD (41.98 %), and LD (54.17  %) (Fig. S2) – based on the percentiles of the canyon height-to-width ratio defined in J2010. We then applied the corresponding thermal parameters from the lookup table to each class to ensure it covers all possible materials used in the 33 regions (Figs. S18–S25). Although this is likely to be the most feasible approach for providing an ESM-compatible global building thermal property dataset at present, we acknowledge its limitation of relying somewhat on coarse-grained regional and density class values. Once more detailed, spatially explicit global datasets – such as those on building materials or thermal properties – become available, we can readily incorporate their thermal parameters into future releases of U-Surf.</p>
      <p id="d2e1385">The AC adoption rate (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">AC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is a new thermal parameter that has added to the latest version of the CLMU and/or CESM because of the introduction of a new explicit AC adoption scheme in the building energy model of the CLMU (Li et al., 2024b). Along with this new scheme, Li et al. (2024b) also created a present-day, global, survey-based, and spatially explicit AC adoption rate dataset at the country and sub-country level. The AC adoption rate data are created by leveraging US Energy Information Administration (EIA) data, literature reports, national surveys, government documentation, and data on AC units per household from the International Energy Agency (IEA). To comply with this energy scheme, the maximum building interior temperature is set to a constant value of 300 K globally. More details on these new <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">AC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data are discussed in Li et al. (2024b). We incorporated this <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">AC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> dataset into our new U-Surf dataset by producing the density-class-weighted averages at 1 km resolution.</p>
      <p id="d2e1421">All the source data, the estimation and/or processing methods, and the comparison with the CLMU urban surface data are summarized in Table 1.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Masking, gap filling, and quality control</title>
      <p id="d2e1433">After estimating all the required parameters as described above, we took several additional steps to ensure the accuracy, coherence, and transparency of our U-Surf data product, including masking, gap filling, and quality control. First, we only retain the grids containing all three facets – roofs and impervious and pervious canyon floors – in U-Surf because a complete urban canyon can only be formed when all three of the facets are present. This constraint helps make U-Surf more consistent with the conceptual definition of physical urban land in a UCM and is an improvement over the J2010 dataset, which used urban density classes from urban form and population estimates (LandScan), leading to large over- and under-estimations of physical urbanization depending on the region (Chakraborty et al., 2024). Second, we masked out the grids with extremely high canyon height-to-width ratios (<inline-formula><mml:math id="M41" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 12) but low building heights (<inline-formula><mml:math id="M42" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 40 m). These grids are actually very sparsely built sub-urban or rural landscapes instead of densely built areas.</p>
      <p id="d2e1450">The last step is to gap-fill the missing values caused by synthesizing multiple datasets with different spatial coverage. For example, the emissivity product from ASTER GEDv3 has missing pixels in certain regions due to cloud coverage. These missing values were gap-filled using a simple approach. We combined two classification data: the Koppen climate zones (Beck et al., 2018) and the 33 urban regions defined in J2010, both at 1 km resolution. The average parameter values for each combined class were then used to fill the missing values of the corresponding parameters. Note that only a small proportion of grids need to be gap-filled, accounting for less than 3.5 % of the total among all parameters. To keep the aforementioned data source, processing, and gap-filling information accessible and to make it easier for users to track changes in future version releases, each parameter comes with an additional quality control (QC) band using a four-digit code (Table 2). The first and second digits differentiate between algorithms and single- or multi-source data, respectively, while the last two digits indicate whether the parameter was directly derived or gap filled. These QC codes are consistent across the entire dataset and will be updated accordingly in later versions.</p>

<table-wrap id="Ch1.T2" orientation="landscape"><label>Table 2</label><caption><p id="d2e1456">Quality control flags for U-Surf dataset. Note that percentages in the parentheses represent the percentage of grid cells with the corresponding QC flag.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="14">
     <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:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Category</oasis:entry>
         <oasis:entry namest="col2" nameend="col9" align="center">Radiative </oasis:entry>
         <oasis:entry namest="col10" nameend="col14" align="center">Morphological </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">Emissivity </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col9" align="center">Albedo </oasis:entry>
         <oasis:entry rowsep="1" namest="col10" nameend="col12" align="center">Fraction </oasis:entry>
         <oasis:entry colname="col13">Building height</oasis:entry>
         <oasis:entry colname="col14">Canyon height-to-width ratio</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Roof</oasis:entry>
         <oasis:entry colname="col3">Impervious canyon floor</oasis:entry>
         <oasis:entry colname="col4">Pervious canyon floor</oasis:entry>
         <oasis:entry colname="col5">Wall</oasis:entry>
         <oasis:entry colname="col6">Roof</oasis:entry>
         <oasis:entry colname="col7">Impervious canyon floor</oasis:entry>
         <oasis:entry colname="col8">Pervious canyon floor</oasis:entry>
         <oasis:entry colname="col9">Wall</oasis:entry>
         <oasis:entry colname="col10">Roof</oasis:entry>
         <oasis:entry colname="col11">Pervious canyon floor</oasis:entry>
         <oasis:entry colname="col12">Urban percentage</oasis:entry>
         <oasis:entry colname="col13"/>
         <oasis:entry colname="col14"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">First digit (algorithm)</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">2</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">2</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col11">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col12">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col13">3</oasis:entry>
         <oasis:entry rowsep="1" colname="col14">2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col14" align="left">1: processing based on observation products; 2: processing based on model and/or assumptions; 3: regridding of existing products without further change </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Second digit (source)</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">0</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">0</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">0</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">0</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">0</oasis:entry>
         <oasis:entry rowsep="1" colname="col11">0</oasis:entry>
         <oasis:entry rowsep="1" colname="col12">0</oasis:entry>
         <oasis:entry rowsep="1" colname="col13">1</oasis:entry>
         <oasis:entry rowsep="1" colname="col14">1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col14" align="left">0: single source; 1: multiple sources </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Third digit (gap-filling)</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">00</oasis:entry>
         <oasis:entry rowsep="1" colname="col11">00</oasis:entry>
         <oasis:entry rowsep="1" colname="col12">00</oasis:entry>
         <oasis:entry rowsep="1" colname="col13">00, 99</oasis:entry>
         <oasis:entry rowsep="1" colname="col14">00, 99</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col14" align="left">00: direct derivation; 99: gap-filled values </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">QC_flag</oasis:entry>
         <oasis:entry colname="col2">1000 (98.34 %),</oasis:entry>
         <oasis:entry colname="col3">1000 (98.26 %),</oasis:entry>
         <oasis:entry colname="col4">1000 (98.56 %),</oasis:entry>
         <oasis:entry colname="col5">2000 (98.34 %),</oasis:entry>
         <oasis:entry colname="col6">1100 (98.22 %),</oasis:entry>
         <oasis:entry colname="col7">1100 (98.54 %),</oasis:entry>
         <oasis:entry colname="col8">1100 (98.45 %),</oasis:entry>
         <oasis:entry colname="col9">2100 (98.21 %),</oasis:entry>
         <oasis:entry colname="col10">1000</oasis:entry>
         <oasis:entry colname="col11">1000</oasis:entry>
         <oasis:entry colname="col12">1000</oasis:entry>
         <oasis:entry colname="col13">3100 (96.56 %),</oasis:entry>
         <oasis:entry colname="col14">2100 (96.56 %),</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">1099 (1.66 %)</oasis:entry>
         <oasis:entry colname="col3">1099 (1.74 %)</oasis:entry>
         <oasis:entry colname="col4">1099 (1.44 %)</oasis:entry>
         <oasis:entry colname="col5">2099 (1.66 %)</oasis:entry>
         <oasis:entry colname="col6">1199 (1.78 %)</oasis:entry>
         <oasis:entry colname="col7">1199 (1.46 %)</oasis:entry>
         <oasis:entry colname="col8">1199 (1.55 %)</oasis:entry>
         <oasis:entry colname="col9">2199 (1.79 %)</oasis:entry>
         <oasis:entry colname="col10">(100.00 %)</oasis:entry>
         <oasis:entry colname="col11">(100.00 %)</oasis:entry>
         <oasis:entry colname="col12">(100.00 %)</oasis:entry>
         <oasis:entry colname="col13">3199 (3.44 %)</oasis:entry>
         <oasis:entry colname="col14">2199 (3.44 %)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Dataset validation</title>
      <p id="d2e1847">Validating urban surface parameters on the global scale is extremely challenging, primarily due to the lack of globally consistent measurement networks. This challenge is exacerbated by the scarcity of long-term urban observational sites, especially in diverse urban environments. The inherent variability within urban areas further complicates validation efforts as data from one site may not represent the broader urban landscape. U-Surf is composed of the extraction of satellite measurements, satellite-derived products (i.e., land cover data and building footprints), and our own derived parameters. The satellite measurements and derived products have already been validated and quality-controlled by their development teams, as summarized in Table 3. U-Surf parameters derived based on these input data sources are therefore subject to their inherent uncertainties and uncertainty propagation during data synthesis and processing. To systematically evaluate the accuracy and uncertainty of U-Surf parameters, we first conducted a thematic validation based on the derived morphological parameters at 1 km resolution against the 3D World Settlement Footprint (WSF-3D, Esch et al., 2022) observational site data and Urban-PLUMBER site metadata. We then further employed Monte Carlo simulations to quantify the final uncertainties of U-Surf parameters arising from input data errors or uncertainties and their propagation (see Sect. 3.4 for a detailed discussion).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Global distribution of 1 km urban surface property parameters</title>
      <p id="d2e1867">U-Surf demonstrates significant improvements over the default CLMU parameters. As U-Surf directly provides spatially continuous urban surface parameters without relying on any density class or land use classification, here, just for ease of comparison and illustrative purpose, we separated raw U-Surf pixels into the four urban density classes (TBD, HD, MD, and LD), following their locations as defined by J2010, and plotted the distributions of the urban surface parameters in both U-Surf and J2010 data at these locations (Fig. 3). The location data defined by J2010 and OF2020 at 1 km resolution can be accessed at <ext-link xlink:href="https://doi.org/10.6084/m9.figshare.28169324.v1" ext-link-type="DOI">10.6084/m9.figshare.28169324.v1</ext-link> (Cheng, 2025a). The overall distribution of U-Surf raw data is also shown in the figure. As most of the thermal properties in U-Surf are adapted from J2010, the discussion here will be mainly focused on radiative and morphological parameters, and the comparison of thermal properties can be found in Fig. S3.</p>

      <fig id="Ch1.F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1875">Distribution of urban surface properties at four density class locations (Oleson and Feddema, 2020) – tall-building district (TBD), high density (HD), medium density (MD), and low density (LD) – compared with raw U-Surf data. Red bars represent the CLMU values (discrete, 33 regions), and blue bars show new U-Surf values (continuous, 1 km) extracted from grids identified as TBD, HD, MD, and LD as per J2010's definition. The black bars show the distribution of 1 km U-Surf raw data. Boxplots and whisker plots show the 25th percentile, the median, and the 75th percentile (the bottom, middle, and top horizontal bars) and extend to the 5th and 95th quantiles.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f03.png"/>

        </fig>

      <p id="d2e1884">Retrieved from direct remote sensing measurements, the radiative properties exhibit physically more reasonable ranges compared to J2010 data. As described above, urban surface properties in J2010 were estimated on the basis of building materials sampled in a predefined region and were then generalized to the entire region. This clearly leads to unreasonable values, such as abnormally low emissivity and high albedo, across entire regions for certain countries. The former issue is true not only for the CLMU but also for urban emissivity constraints in regional models like WRF (Chakraborty et al., 2021). For instance, the minimum roof emissivity in J2010 is as low as 0.04 in regions like Mongolia, Kazakhstan, France, and Germany (Figs. 3 and S5), and the roof albedo can be as high as 0.61 for Chili, Argentina, Mongolia, and Kazakhstan (Figs. 3 and S9). These values were derived from specific low-emissivity and high-albedo materials (e.g., zinc and galvanized steel coating), which might be possible in individual buildings but are highly unlikely for all urban areas in a large region (Chakraborty et al., 2021). Broadcasting to an entire region from sampled material estimates results in an oversimplified representation of urban surfaces. In contrast, the “effective” emissivity retrieved from ASTER GEDv3 (Hulley et al., 2015) in U-Surf is generally higher and more narrowly concentrated, typically between 0.95 and 1.0 across urban facets, with exceptions in a few specific areas. This pattern also aligns with urban canyon characteristics, where the effective emissivity of an urban canyon is slightly higher than the weighted-average values from all individual components due to the “canyon-trapping” effects (i.e., increased absorption from reflections between facets) (Harman et al., 2004; Oke et al., 2017). Likewise, we can observe a narrower spread of roof albedo values concentrated between 0.1 and 0.3 across countries, which align with the aggregated values from the commonly used urban roof materials such as tiles (0.10–0.35), shingles (0.05–0.25), and slate (0.08–0.18) (Oke et al., 2017). Our results confirm that the blue- or clear-sky albedo (total albedo for shortwave radiation) calculated in U-Surf, an interpolation between white- and black-sky albedo (Liang et al., 1999), represents the real-world conditions more accurately.</p>
      <p id="d2e1888">The morphological parameters in our dataset also provide more reasonable estimates of both mean values and variability. The four morphological parameters follow similar trends to J2010 in their variations across urban density types. For example, the roof fractions (pervious fractions) are generally higher (lower) in TBD locations identified in J2010 and decrease (increase) as the built density decreases (i.e., HD, MD, and LD). However, U-Surf captures much larger variabilities in these parameters compared to J2010, reflecting a more diverse urban morphology. This is again because of J2010's approach of applying uniform parameter values based on selected representative buildings in a region. This approach not only fails to represent the granular spatial variability in a region but also easily skews the estimates. For example, J2010 reported an unrealistically high roof fraction of 0.8 for the MD class over Brazil, whereas U-Surf presents a more realistic roof fraction predominantly ranging between 0.03 and 0.14, with a median value of 0.07 for this region, which aligns more closely with observations. Note that the median values of the four morphological parameters in U-Surf raw data (black boxes in Fig. 3) are generally lower (or higher in pervious fraction) than the TBD, HD, MD, and LD categories (blue boxes). This is because U-Surf raw data cover more pixels than the sum of locations identified as TBD, HD, MD, and LD in J2010, most of which are sparsely built landscapes. In fact, the less densely built urban areas dominate the global urban landscapes. The four density classes TBD, HD, MD, and LD in J2010, for example, account for 0.022 %, 5.85 %, 23.76 %, and 70.37 % of all urban grids, respectively.</p>
      <p id="d2e1891">The <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi></mml:mrow></mml:math></inline-formula> values in U-Surf are concentrated within ranges of, respectively, 0.6–1.4, 0.2–0.8, and 0.1–0.4 for the TBD, HD, and MD locations identified in J2010. These values are close to real-world observations which typically vary between 0.5 and 2 at the neighborhood scale (Vardoulakis et al., 2003). Note that high <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi></mml:mrow></mml:math></inline-formula> values are very rare at a 1 km resolution in real cases. Only very densely built central metropolitan areas (such as the lower Manhattan area in New York City, US) exhibit ratios exceeding 1. These occasions, however, usually only constitute a small proportion. This explains why the overall raw U-Surf <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi></mml:mrow></mml:math></inline-formula> values are mostly concentrated between 0.06 and 0.5. We note that, in very rare cases, there are some very high roof fraction numbers (<inline-formula><mml:math id="M46" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 0.9) in U-Surf, which, nevertheless, are not located in central metropolitan areas. These outliers are places with relatively large roof cover but very small urban impervious areas (such as near the edge of a sub-urban area or in small-sized dispersed town areas).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Enhanced urban surface properties</title>
      <p id="d2e1945">In this section, we present selected radiative and morphological parameters as illustrative examples to demonstrate the improvement of the new urban surface dataset in terms of spatial heterogeneity, granularity, accuracy, and broader applicability from the global to city scale. The global maps of the complete list of parameters can be found in the Supplement (Figs. S5–S26).</p>
      <p id="d2e1948">U-Surf exhibits significant advancements in capturing spatial heterogeneity and granularity, which is a crucial improvement over traditional categorical urban classifications, such as density classes used in the CLMU and LCZs used in state-of-the-art mesoscale models. The dataset's fine-scale resolution reveals detailed variations in both urban radiative and morphological parameters (Figs. 4 and S5–S17). For instance, in J2010, the emissivity of pervious canyon floors is uniformly set at 0.95 globally to represent a typical value for vegetation using a bulk parameterization scheme (Oleson et al., 2010), and roof albedo is limited to 11 distinct values (Fig. 4a and b). These discrete values lead to oversimplifications that fail to represent the critical variations in urban areas, potentially affecting the accuracy of cross-sample variability in urban climate states. Conversely, U-Surf data show clear variability both within and across regions (Fig. 4c and d). In general, albedo exhibits greater variability than emissivity across different facets (Figs. S5d–S12d). The albedo of impervious canyon floor is comparable to that of the pervious one, while roof and wall albedo tend to be higher, especially in the city center, with densely built tall buildings (Figs. S9d–S12d). In New York City, for example, the mean albedo values are 0.13 for both impervious and pervious canyon floors, while roof albedo averages 0.16, and wall albedo is even higher at 0.22. This pattern is consistent with the fact that commonly used road pavement materials, such as asphalt and concrete, exhibit similarly low albedo values when compared to urban vegetated surfaces like parks and lawns (Oke et al., 2017). Moreover, roofing materials in metropolitan areas often feature higher reflectivity to reduce heat absorption by buildings (Jia et al., 2024), further contributing to the observed differences in albedo. These variations reflect not only the differences in the materials used but also adaptation strategies to local climate conditions, thereby providing more insights into local climate-sensitive urban design practices.</p>

      <fig id="Ch1.F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1953">Global-scale comparison between the default CLMU and U-Surf parameters. <bold>(a, b)</bold> Discrete pervious canyon floor emissivity (unitless) and roof albedo (unitless) over 33 regions (area-weighted averages across TBD, HD, and MD) in the CLMU; <bold>(c, d)</bold> 1 km continuous pervious canyon floor emissivity and roof albedo in U-Surf. Each column shares the same color scale range, but note that the default CLMU parameters only have discrete values over 33 regions and three density classes.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f04.png"/>

        </fig>

      <p id="d2e1969">At the global scale, U-Surf also reveals high-level distinct spatial patterns that correspond to the varying stages of urban development across regions (Fig. 5). In the Global North, particularly in Europe and the United States, urban areas typically exhibit higher building density (roof fraction <inline-formula><mml:math id="M47" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> urban percentage), greater average building height, and higher average canyon height-to-width ratio. These characteristics are indicative of more developed urban forms and well-established infrastructure, often driven by the need to accommodate growing populations in limited spaces. For instance, metropolitan centers (e.g., Manhattan, New York City, USA; Quartiers 1–4, Paris, France) in these areas frequently exceed 30 %–40 % roof coverage, with average building heights surpassing 30 m. In contrast, the Global South (e.g., Latin America, Africa, and Central Asia) generally exhibit lower values for these parameters. For example, building density values in these regions are, respectively, 38.59 %, 46.46 %, and 88.71 % lower than in the United States. Similarly, their median building heights are, respectively, 11.94 %, 31.65 %, and 12.75 % lower than in Europe. Consequently, their median canyon height-to-width ratios are, respectively, 29.88 %, 37.18 %, and 23.99 % lower than those in Europe. However, this trend is rapidly changing in emerging economies, including India and Brazil, where cities are experiencing swift urban growth. For instance, rapidly urbanizing places such as Delhi, India, and Sao Paulo, Brazil, have demonstrated tall and densely built environments, where Delhi has a roof fraction of 31.02 % and an average building height of 12.63 m, while Sao Paulo has a roof fraction of 49.42 % and an average building height of 13.87 m, all of which exceed the 75th percentile in the global distribution (Fig. 3c). Additionally, regions such as East Asia exhibit urbanization patterns that are more akin to those in North America and Europe, characterized by high roof fractions (e.g., Fig. S4a) and significant vertical development. For example, many cities in eastern China have exhibited city-wide average roof fractions above 14 % and average building heights exceeding 13 m, reflecting rapid industrialization and economic growth that have rapidly transformed the urban landscape over the past few decades (Cai et al., 2022). These observations further demonstrate the fidelity of U-Surf in revealing globally comparable yet regionally nuanced urbanization representations, which are essential for understanding geographical disparities and advancing region-specific sustainable urban development.</p>

      <fig id="Ch1.F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1981">Global spatial distribution of U-Surf morphological parameters. <bold>(a)</bold> Roof fraction (unitless), <bold>(b)</bold> pervious fraction (unitless), <bold>(c)</bold> building height (m), <bold>(d)</bold> canyon height-to-width ratio (unitless).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f05.png"/>

        </fig>

      <p id="d2e2002">At a more localized level, U-Surf uncovers intriguing patterns within countries and even individual cities, offering insights into the complex interactions between urban morphology and local climate conditions. For instance, in the southwestern United States (e.g., California, Arizona), in northern African countries like Egypt and Tunisia, and in northeastern China, U-Surf captures lower pervious canyon floor emissivity (below 0.93) and higher roof albedo (above 0.25) (Fig. 4c and d), reflecting the potential impact of arid conditions and the use of high-albedo materials for heat adaptation in hot climates. Furthermore, U-Surf highlights regional differences in surface morphological properties (Fig. 5), which play crucial roles in determining local urban climates. Building heights are notably higher along the coasts and in southern regions of the Contiguous United States (CONUS), with cities like New York, Chicago, and Miami showing exceptionally high values (<inline-formula><mml:math id="M48" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 100 m) and correspondingly high canyon height-to-width ratios (<inline-formula><mml:math id="M49" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 2) in city cores. These cities also exhibit high roof fractions, showing more clustered building patterns in city centers, with density decreasing outwards (Fig. S4b). In densely populated developing countries like India and China, high roof fractions exceeding 40 % are observed, particularly in regions such as the Indo-Gangetic Plain and the area spanning from the Bohai Economic Rim to the Yangtze River Basin (Fig. S4a). In underdeveloped regions of South America and Africa (e.g., Bolivia, Chad) with widely dispersed urban areas, buildings are more sparsely distributed, typically concentrated within fewer metropolitan areas. It is interesting to note that the high-resolution U-Surf data even capture the very densely populated informal settlements (such as the slum areas in Delhi) where buildings are tightly packed and often overcrowded (characterized by high roof fraction and population density) (Fig. S4c and d). This illustrates the potential use of U-Surf as a valuable tool to better inform us of socioeconomic disparities in environmental and climate hazards within cities, which is currently difficult to do using process-based models (Chakraborty et al., 2023; Zhao et al., 2021).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Improved urban representation across scales</title>
      <p id="d2e2027">The high-resolution U-Surf data enable intra- and inter-city comparisons in global-scale urban climate modeling in an unprecedented way. To illustrate this point, we identified two cities with similar background climates: Chicago, IL, USA, and Seoul, South Korea (Fig. 6), both of which are classified as <italic>Dfa</italic> under the Köppen-Geiger climate classification (humid continental climate with hot summers) (Beck et al., 2018). Because of the coarse-resolution urban surface input in J2010, these two cities share the exact same roof-specific parameters of the MD class. However, U-Surf reveals distinct contrasts in their radiative and morphological properties. Chicago, which has a history of applying heat mitigation strategies such as cool roofs (Mackey et al., 2012; Zhao et al., 2014), demonstrates higher roof emissivity and albedo, with average values of 0.972 and 0.175, respectively, compared to Seoul's 0.955 and 0.114. With regard to intra-city variations, Chicago's urban form is characterized by a higher concentration of buildings, with an average roof fraction of 0.284, in the northern part of the city. High-rise buildings or skyscrapers are predominantly clustered around Lake Michigan and the Chicago Loop area. On the contrary, Seoul exhibits a more dispersed urban structure, with buildings being spread more widely across the city. Such detailed representation facilitates comprehensive attribution and sensitivity analyses, permitting the examination of how individual parameters, such as emissivity, albedo, and building height, can alter the city microclimate and further influence the role of cities in local to global climate change scenarios (Krayenhoff et al., 2018, 2021; Zhao et al., 2017) and potentially informs more actionable climate adaptation and mitigation strategies.</p>

      <fig id="Ch1.F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2035">Spatial distributions of roof emissivity (–), roof albedo (–), roof fraction (–), and building height (m) in <bold>(a–d)</bold> Chicago, USA, and <bold>(e–h)</bold> Seoul, South Korea. Each pair of panels within the same column shares a consistent color scale.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f06.png"/>

        </fig>

      <p id="d2e2050">U-Surf demonstrates a remarkable ability to capture the spatial heterogeneity and textural details of global urban landscapes across scales. To demonstrate this point, we aggregated the 1 km U-Surf data to coarser resolutions of 0.125° and nominal 1° (a typical resolution that ESMs are run at) to compare with J2010 side by side. More detailed information about the aggregation process can be found in Sect. S1, Table S1, and Fig. S27. For illustrative purposes, only the comparisons of <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>W</mml:mi></mml:mrow></mml:math></inline-formula> are shown here. Our results demonstrate that U-Surf represents the detailed urban form considerably well, even at much coarser resolutions. The spatial variability and urban texture are well preserved at global (Fig. 7d), national (Fig. 7e), and city (Fig. 7f) scales. This further demonstrates the adaptability and application of U-Surf in multi-scale, cross-scale urban modeling studies, with potential usage in regionally refined models (RRMs) such as E3SM-RRM (Tang et al., 2023a), as well as in the variable-resolution models (Huang et al., 2016) like Multi-Scale Infrastructure for Chemistry and Aerosols (MUSICA; Pfister et al., 2020), where seamless transitions between different spatial scales are crucial for comprehensive and coherent analysis.</p>

      <fig id="Ch1.F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2068">Spatial variability of <bold>(a–c)</bold> area-weighted averages from the CLMU and <bold>(d–f)</bold> the U-Surf surface dataset. The parameter shown here is canyon height-to-width ratio. The spatial resolution from left to right: global nominal 1°; 0.125° over CONUS; and 1 km in New York City, US. Panels in the same column share a color bar at the bottom of the column. Different color bar ranges are used to help visualize the distributions across scales.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Accuracy assessment and uncertainty</title>
      <p id="d2e2091">For the derived morphological parameters, we conducted a thematic validation based on two recently available, observation-based datasets, Urban-PLUMBER and WSF-3D. WSF-3D is a high-resolution (<inline-formula><mml:math id="M51" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 90 m at the Equator) global dataset that provides detailed three-dimensional information on building fraction, height, and volume derived from satellite imagery, offering crucial insights into urban structures and their spatial distribution across the globe (Esch et al., 2022). We compared the roof fraction and height at 1 km resolution across WSF-3D's 17 validation sites. The Urban-PLUMBER project primarily aims to enhance the understanding of the accuracy of current urban climate models and has also produced a harmonized dataset of quality-controlled and gap-filled observations from 21 urban flux tower sites across different climate zones and urban built environments (Lipson et al., 2022). We compared all four morphological parameters across these sites by using neighboring pixels around the flux towers to evaluate against the site-specific information.</p>
      <p id="d2e2101">The roof fraction showed strong agreement across the reference sites in both WSF-3D and Urban-PLUMBER, with low mean absolute errors (MAEs) of 0.076 and 0.081 (Fig. 8a). Similarly, the pervious fraction also aligned well at most Urban-PLUMBER sites, with a mean MAE of 0.124 (Fig. 9a). Some discrepancies were observed in building height (MAEs of 5.918 and 7.446 m, Fig. 8c and d) and canyon height-to-width ratio (MAEs of 0.387, Fig. 9c). These discrepancies are primarily attributed to the disparity between the neighborhood-scale values captured by flux towers, typically representing areas within several hundreds of meters, and the 1 km resolution averaged values. Detailed values at each individual site can be found in Tables S3 and S4.</p>

      <fig id="Ch1.F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2106">Comparison of two morphological parameters, <bold>(a–b)</bold> roof fraction and <bold>(c–d)</bold> building height, evaluated against 21 Urban-PLUMBER and 17 WSF-3D sites. The numbers in the bottom-right corners of <bold>(a)</bold> and <bold>(c)</bold> indicate the average mean absolute errors (MAEs) across sites. The blue points in <bold>(b)</bold> and <bold>(d)</bold> represent the city-scale average values at WSF-3D sites. The green stars in <bold>(b)</bold> and <bold>(d)</bold> are the site-specific values from Urban-PLUMBER metadata.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f08.png"/>

        </fig>

      <fig id="Ch1.F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e2143">Comparison of two morphological parameters, <bold>(a–b)</bold> pervious canyon floor fraction and <bold>(c–d)</bold> canyon height-to-width ratio, against 21 Urban-PLUMBER sites. The numbers in the bottom-right corner of <bold>(a)</bold> and <bold>(c)</bold> represent the average mean absolute error across sites.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/2147/2025/essd-17-2147-2025-f09.png"/>

        </fig>

      <p id="d2e2164">As discussed briefly in Sect. 2.4, U-Surf's parameters are inherently influenced by the uncertainties embedded in the synthesized data sources and uncertainty propagation during calculations. To systematically evaluate the uncertainties in final U-Surf parameters, we first documented the available validation approaches, as conducted by the development teams, and associated uncertainties for all input data sources in Table 3. Based on these numbers, we then employed the Monte Carlo simulation approach to quantify the final uncertainties in all our derived urban surface parameters in U-Surf (see Sect. S2).</p>

<table-wrap id="Ch1.T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2171">Validation and uncertainty analysis of synthesized data products.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="5cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="5cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Dataset</oasis:entry>
         <oasis:entry colname="col2" align="left">Source</oasis:entry>
         <oasis:entry colname="col3" align="left">Validation</oasis:entry>
         <oasis:entry colname="col4" align="left">Uncertainty</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">ESA land cover 2021 v200</oasis:entry>
         <oasis:entry colname="col2" align="left">Zanaga et al. (2022)</oasis:entry>
         <oasis:entry colname="col3" align="left">Validated using Copernicus Global Land Service-Land Cover Validation dataset</oasis:entry>
         <oasis:entry colname="col4" align="left">Global accuracy of <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mn mathvariant="normal">76.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>  User's accuracy – tree cover <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mn mathvariant="normal">80.0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; bare/sparse vegetation: <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mn mathvariant="normal">92.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; shrubland: <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mn mathvariant="normal">49.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; grassland: <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mn mathvariant="normal">71.9</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; built-up: <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mn mathvariant="normal">65.9</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Microsoft global building footprints</oasis:entry>
         <oasis:entry colname="col2" align="left">Microsoft (2022)</oasis:entry>
         <oasis:entry colname="col3" align="left">Evaluated based on a set of building polygon labels for each region based on Bing Maps, including Maxar and Airbus, between 2014 and 2021</oasis:entry>
         <oasis:entry colname="col4" align="left">Precision: 92.2  % (Caribbean) to 97.17  % (Central Asia)  False-positive rate – Mexico: <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; North America: <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; Africa: <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; Australia: <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; Europe <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; South Asia: <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; South America: <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; Caribbean: <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; Middle East: <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; Central Asia: <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>; Indonesia: <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.98</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">East Asia building footprints</oasis:entry>
         <oasis:entry colname="col2" align="left">Shi et al. (2024)</oasis:entry>
         <oasis:entry colname="col3" align="left">Validated in sampled Chinese cities with manual annotation, compared against OSM building data and regional roof vectors</oasis:entry>
         <oasis:entry colname="col4" align="left">Accuracy: <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mn mathvariant="normal">89.63</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>(average)  F1 score: <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mn mathvariant="normal">82.55</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">ASTER global emissivity dataset v3</oasis:entry>
         <oasis:entry colname="col2" align="left">Hulley et al. (2015)</oasis:entry>
         <oasis:entry colname="col3" align="left">Validated against lab measurements and MODIS C4 and C5 emissivity (2000–2008) over selected four sites</oasis:entry>
         <oasis:entry colname="col4" align="left">RMSE of 0.41  %, 0.84  %, 0.87  %, and 0.95  % at four sites: Algodone Dunes, Namib, Senegal Basin, and Rub Al Khali</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Broadband ASTER emissivity</oasis:entry>
         <oasis:entry colname="col2" align="left">Malakar et al. (2018), Ogawa et al. (2008)</oasis:entry>
         <oasis:entry colname="col3" align="left">Validated against 305 samples from ASTER spectral library covering the wavelength ranging from 2 to 15 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left"><inline-formula><mml:math id="M72" 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> of 0.913, RMSE of 0.011</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Sentinel-2 albedo</oasis:entry>
         <oasis:entry colname="col2" align="left">Lin et al. (2022)</oasis:entry>
         <oasis:entry colname="col3" align="left">Validated against ground measurements and MODIS satellite product at local flux sites</oasis:entry>
         <oasis:entry colname="col4" align="left">Overall across five land cover types: <inline-formula><mml:math id="M73" 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> of 0.94, RMSE of <inline-formula><mml:math id="M74" display="inline"><mml:mn mathvariant="normal">0.030</mml:mn></mml:math></inline-formula>  Deciduous broadleaf forest: <inline-formula><mml:math id="M75" 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> of 0.58, RMSE of <inline-formula><mml:math id="M76" display="inline"><mml:mn mathvariant="normal">0.027</mml:mn></mml:math></inline-formula>  Evergreen needleleaf forest: <inline-formula><mml:math id="M77" 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> of 0.72, RMSE of 0.028  Grassland: <inline-formula><mml:math id="M78" 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> of 0.95, RMSE of <inline-formula><mml:math id="M79" display="inline"><mml:mn mathvariant="normal">0.032</mml:mn></mml:math></inline-formula>  Open shrubland: <inline-formula><mml:math id="M80" 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> of 0.92, RMSE of <inline-formula><mml:math id="M81" display="inline"><mml:mn mathvariant="normal">0.026</mml:mn></mml:math></inline-formula>  Urban: black-sky albedo <inline-formula><mml:math id="M82" 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> of 0.90, RMSE <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0185</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></inline-formula> white-sky albedo <inline-formula><mml:math id="M84" 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> of 0.87, RMSE of <inline-formula><mml:math id="M85" display="inline"><mml:mn mathvariant="normal">0.0205</mml:mn></mml:math></inline-formula> (average), blue-sky albedo RMSE of <inline-formula><mml:math id="M86" display="inline"><mml:mn mathvariant="normal">0.0154</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Sentinel-2 narrow-to-broadband albedo</oasis:entry>
         <oasis:entry colname="col2" align="left">Bonafoni and Sekertekin (2020)</oasis:entry>
         <oasis:entry colname="col3" align="left">Validated against ground measurements at selected sites</oasis:entry>
         <oasis:entry colname="col4" align="left"><inline-formula><mml:math id="M87" 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> of 0.77, RMSE of <inline-formula><mml:math id="M88" display="inline"><mml:mn mathvariant="normal">0.023</mml:mn></mml:math></inline-formula> when compared against six surface radiation budget network stations measurements during 2018–2019  <inline-formula><mml:math id="M89" 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> of 0.98, RMSE of <inline-formula><mml:math id="M90" display="inline"><mml:mn mathvariant="normal">0.021</mml:mn></mml:math></inline-formula> when compared against albedo meter measurements at 18 Perugia sites, summer 2016</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="Ch1.T4" specific-use="star"><label>Table 3</label><caption><p id="d2e2772">Continued.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="5cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="5cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Dataset</oasis:entry>
         <oasis:entry colname="col2" align="left">Source</oasis:entry>
         <oasis:entry colname="col3" align="left">Validation</oasis:entry>
         <oasis:entry colname="col4" align="left">Uncertainty</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Building height</oasis:entry>
         <oasis:entry rowsep="1" colname="col2" align="left">Che et al. (2024)</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">Validated against various reference datasets and selected cities from Google Earth Pro</oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Varying across 33 subregions  <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn></mml:mrow></mml:math></inline-formula> (Europe) to 0.96 (South America)  RMSE: 1.92 m (South America) to 14.60 m (Japan, North and South Korea)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Li et al. (2022)</oasis:entry>
         <oasis:entry colname="col3" align="left">Evaluated based on the validation set, compared against WSF-3D</oasis:entry>
         <oasis:entry colname="col4" align="left">Global: <inline-formula><mml:math id="M92" 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> of 0.73, RMSE of <inline-formula><mml:math id="M93" display="inline"><mml:mn mathvariant="normal">2.56</mml:mn></mml:math></inline-formula>;  Canada and USA: <inline-formula><mml:math id="M94" 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> of 0.72, RMSE of <inline-formula><mml:math id="M95" display="inline"><mml:mn mathvariant="normal">2.01</mml:mn></mml:math></inline-formula>; China: <inline-formula><mml:math id="M96" 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> of 0.49, RMSE of <inline-formula><mml:math id="M97" display="inline"><mml:mn mathvariant="normal">4.94</mml:mn></mml:math></inline-formula>; Europe: <inline-formula><mml:math id="M98" 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> of 0.68, RMSE of <inline-formula><mml:math id="M99" display="inline"><mml:mn mathvariant="normal">2.35</mml:mn></mml:math></inline-formula>; South Asia: <inline-formula><mml:math id="M100" 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> of 0.47, RMSE of <inline-formula><mml:math id="M101" display="inline"><mml:mn mathvariant="normal">1.79</mml:mn></mml:math></inline-formula>; Latin America: <inline-formula><mml:math id="M102" 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> of 0.60, RMSE of <inline-formula><mml:math id="M103" display="inline"><mml:mn mathvariant="normal">2.86</mml:mn></mml:math></inline-formula>; Middle East and northern Africa: <inline-formula><mml:math id="M104" 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> of 0.75, RMSE of <inline-formula><mml:math id="M105" display="inline"><mml:mn mathvariant="normal">2.92</mml:mn></mml:math></inline-formula>; Oceania: <inline-formula><mml:math id="M106" 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> of 0.70, RMSE of <inline-formula><mml:math id="M107" display="inline"><mml:mn mathvariant="normal">1.58</mml:mn></mml:math></inline-formula>; Russia and Central Asia: <inline-formula><mml:math id="M108" 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> of 0.48, RMSE of <inline-formula><mml:math id="M109" display="inline"><mml:mn mathvariant="normal">2.78</mml:mn></mml:math></inline-formula>; Southeast Asia <inline-formula><mml:math id="M110" 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> of 0.62, RMSE of <inline-formula><mml:math id="M111" display="inline"><mml:mn mathvariant="normal">1.50</mml:mn></mml:math></inline-formula>; Sub-Saharan Africa: <inline-formula><mml:math id="M112" 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> of 0.63, RMSE of <inline-formula><mml:math id="M113" display="inline"><mml:mn mathvariant="normal">1.35</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">AC penetration rate</oasis:entry>
         <oasis:entry colname="col2" align="left">Li et al. (2024b)</oasis:entry>
         <oasis:entry colname="col3" align="left">35 countries or regions were directly collected; additional linear model was built to map other 34 regions or countries and sub-country data</oasis:entry>
         <oasis:entry colname="col4" align="left">Linear model: <inline-formula><mml:math id="M114" 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> of 0.9, RMSE of 11.5 %, MAE of 8.5 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3086">Specifically, the three datasets used to differentiate between roofs and impervious and pervious canyon floors demonstrate high global classification accuracy. The 10 m resolution ESA land cover (Zanaga et al., 2022) was validated using the updated Copernicus Global Land Service-Land Cover Validation (CGLS-100) dataset. The global overall accuracy across all land cover types is 76.7 <inline-formula><mml:math id="M115" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 %. The confidence intervals for specific land cover types are 3.3 % for built-up surfaces and an average of 1.2 % for pervious canyon (the average value of tree cover, grassland, shrubland, bare soil). The MS-BFP data (Microsoft, 2022) were evaluated using building polygon labels from Bing Maps, including Maxar and Airbus data. The precision of semantic segmentation (i.e., building pixel detection) showed regional variations, with the lowest false-positive rate of 0.1 % in Mexico and the highest false-positive rate of 2.98 % in Indonesia. The EA-BFP data (Shi et al., 2024) were validated in sampled Chinese cities with manual annotation, compared against OSM building data and regional roof vectors (Zhang et al., 2022). The data have an overall average accuracy of 89.63 % and an F1 score of 82.55 %. The primary data source of building height (Che et al., 2024) underwent rigorous validation against various reference height datasets and selected cities from Google Earth Pro. The validated results showed <inline-formula><mml:math id="M116" 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 ranging from 0.66 (Europe) to 0.96 (South America) and root mean squared errors (RMSEs) from 1.9 m (South America) to 14.6 m (Japan, North and South Korea) across different subregions. The supplementary dataset (Li et al., 2022) was also validated and compared against WSF-3D, yielding a global RMSE of 2.56 m, with the lowest RMSE of 1.35 m in Sub-Saharan Africa and the highest RMSE of 4.94 m in China.</p>
      <p id="d2e3108">All remote sensing products and algorithms used to derive radiative properties were validated against ground measurements with high credibility. ASTER GEDv3 (Hulley et al., 2015) was compared with MODIS Collection 4 and 5 emissivity and was validated against lab measurements at four large sand dune fields, yielding a relatively low average RMSE of 0.077. The broadband emissivity regression algorithm (Eq. 1) was validated against the ASTER spectral library covering the wavelength ranging from 2 to 15 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, yielding an <inline-formula><mml:math id="M118" 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> of 0.913 and RMSE of 0.011 (Malakar et al., 2018; Ogawa et al., 2008). The 10 m land blue-sky albedo (Lin et al., 2022), retrieved from Sentinel-2 surface reflectance, was validated against local flux tower measurements, achieving an overall <inline-formula><mml:math id="M119" 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> of 0.94 and RMSE of 0.03 across five land cover types. The RMSE ranges from around 0.0154 for urban areas (see Sect. S2 for detailed calculations) to 0.032 for grassland. In addition, the narrow-to-broadband algorithm (Bonafoni and Sekertekin, 2020) demonstrated an <inline-formula><mml:math id="M120" 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> of 0.77 and RMSE of 0.023 when compared against the ground measurements at six surface radiation budget network (SURFRAD) stations. It also showed an <inline-formula><mml:math id="M121" 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> of 0.98 and RMSE of 0.021 when compared against albedo meter measurements at 18 Perugia sites (Bonafoni and Sekertekin, 2020).</p>
      <p id="d2e3165">The primary source of uncertainty in the AC adoption rate (Li et al., 2024b) stems from the linear model that correlates AC adoption rate with the number of AC units per household. The linear model with saturation effect has an <inline-formula><mml:math id="M122" 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> of 0.9 (<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), RMSE of 11.5, and MAE of 8.5 (both in units of %).</p>
      <p id="d2e3191">Using these documented uncertainties, we conducted Monte Carlo simulations with 1000 trails of randomly perturbed input parameters based on 10 000 randomly selected samples across 10 countries (Table S2) to quantify the uncertainty of error propagation through our data synthesis and processing (Sect. S2). The resulting 95 % confidence intervals for all parameters across all sampled regions and global averages are presented in Table 4. These intervals provide the expected error and/or uncertainty ranges for our final estimates. Overall, the uncertainties propagated through our data synthesis and processing align closely with those in the input data and remain relatively small – partly due to spatial upscale from finer resolutions to 1 km – which confirms the robustness of our methodology.</p>

<table-wrap id="Ch1.T5" orientation="landscape"><label>Table 4</label><caption><p id="d2e3197">Estimated 95 % confidence intervals (<inline-formula><mml:math id="M124" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula>) by Monte Carlo simulations across all regions.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="14">
     <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: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" colsep="1"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right" colsep="1"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:colspec colnum="14" colname="col14" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry rowsep="1" namest="col1" nameend="col3" align="center">Continent </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">North America </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center" colsep="1">South America </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center" colsep="1">Europe </oasis:entry>
         <oasis:entry rowsep="1" namest="col10" nameend="col11" align="center" colsep="1">Asia </oasis:entry>
         <oasis:entry rowsep="1" colname="col12">Oceania</oasis:entry>
         <oasis:entry rowsep="1" colname="col13">Africa</oasis:entry>
         <oasis:entry colname="col14">Average</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3" align="center">Country </oasis:entry>
         <oasis:entry colname="col4">United States</oasis:entry>
         <oasis:entry colname="col5">Mexico</oasis:entry>
         <oasis:entry colname="col6">Argentina</oasis:entry>
         <oasis:entry colname="col7">Bolivia</oasis:entry>
         <oasis:entry colname="col8">France</oasis:entry>
         <oasis:entry colname="col9">Poland</oasis:entry>
         <oasis:entry colname="col10">China</oasis:entry>
         <oasis:entry colname="col11">Malaysia</oasis:entry>
         <oasis:entry colname="col12">Australia</oasis:entry>
         <oasis:entry colname="col13">Nigeria</oasis:entry>
         <oasis:entry colname="col14"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Radiative</oasis:entry>
         <oasis:entry colname="col2">Emissivity</oasis:entry>
         <oasis:entry colname="col3">Roof</oasis:entry>
         <oasis:entry colname="col4">0.0443</oasis:entry>
         <oasis:entry colname="col5">0.0316</oasis:entry>
         <oasis:entry colname="col6">0.0342</oasis:entry>
         <oasis:entry colname="col7">0.0477</oasis:entry>
         <oasis:entry colname="col8">0.0386</oasis:entry>
         <oasis:entry colname="col9">0.0381</oasis:entry>
         <oasis:entry colname="col10">0.0428</oasis:entry>
         <oasis:entry colname="col11">0.0359</oasis:entry>
         <oasis:entry colname="col12">0.0542</oasis:entry>
         <oasis:entry colname="col13">0.0432</oasis:entry>
         <oasis:entry colname="col14">0.0411</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Impervious</oasis:entry>
         <oasis:entry colname="col4">0.0369</oasis:entry>
         <oasis:entry colname="col5">0.0326</oasis:entry>
         <oasis:entry colname="col6">0.0289</oasis:entry>
         <oasis:entry colname="col7">0.0443</oasis:entry>
         <oasis:entry colname="col8">0.0479</oasis:entry>
         <oasis:entry colname="col9">0.0450</oasis:entry>
         <oasis:entry colname="col10">0.0394</oasis:entry>
         <oasis:entry colname="col11">0.0432</oasis:entry>
         <oasis:entry colname="col12">0.0616</oasis:entry>
         <oasis:entry colname="col13">0.0560</oasis:entry>
         <oasis:entry colname="col14">0.0436</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Pervious</oasis:entry>
         <oasis:entry colname="col4">0.0181</oasis:entry>
         <oasis:entry colname="col5">0.0137</oasis:entry>
         <oasis:entry colname="col6">0.0169</oasis:entry>
         <oasis:entry colname="col7">0.0133</oasis:entry>
         <oasis:entry colname="col8">0.0149</oasis:entry>
         <oasis:entry colname="col9">0.0159</oasis:entry>
         <oasis:entry colname="col10">0.0164</oasis:entry>
         <oasis:entry colname="col11">0.0135</oasis:entry>
         <oasis:entry colname="col12">0.0126</oasis:entry>
         <oasis:entry colname="col13">0.0202</oasis:entry>
         <oasis:entry colname="col14">0.0156</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">Wall<sup>*</sup></oasis:entry>
         <oasis:entry rowsep="1" colname="col4">0.0443</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">0.0316</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.0342</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.0477</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.0386</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.0381</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">0.0428</oasis:entry>
         <oasis:entry rowsep="1" colname="col11">0.0359</oasis:entry>
         <oasis:entry rowsep="1" colname="col12">0.0542</oasis:entry>
         <oasis:entry rowsep="1" colname="col13">0.0432</oasis:entry>
         <oasis:entry rowsep="1" colname="col14">0.0411</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Albedo</oasis:entry>
         <oasis:entry colname="col3">Roof</oasis:entry>
         <oasis:entry colname="col4">0.0086</oasis:entry>
         <oasis:entry colname="col5">0.0043</oasis:entry>
         <oasis:entry colname="col6">0.0034</oasis:entry>
         <oasis:entry colname="col7">0.0096</oasis:entry>
         <oasis:entry colname="col8">0.0047</oasis:entry>
         <oasis:entry colname="col9">0.0045</oasis:entry>
         <oasis:entry colname="col10">0.0169</oasis:entry>
         <oasis:entry colname="col11">0.0041</oasis:entry>
         <oasis:entry colname="col12">0.0080</oasis:entry>
         <oasis:entry colname="col13">0.0069</oasis:entry>
         <oasis:entry colname="col14">0.0071</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Impervious</oasis:entry>
         <oasis:entry colname="col4">0.0067</oasis:entry>
         <oasis:entry colname="col5">0.0058</oasis:entry>
         <oasis:entry colname="col6">0.0044</oasis:entry>
         <oasis:entry colname="col7">0.0099</oasis:entry>
         <oasis:entry colname="col8">0.0101</oasis:entry>
         <oasis:entry colname="col9">0.0082</oasis:entry>
         <oasis:entry colname="col10">0.0056</oasis:entry>
         <oasis:entry colname="col11">0.0082</oasis:entry>
         <oasis:entry colname="col12">0.0129</oasis:entry>
         <oasis:entry colname="col13">0.0118</oasis:entry>
         <oasis:entry colname="col14">0.0084</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Pervious</oasis:entry>
         <oasis:entry colname="col4">0.0020</oasis:entry>
         <oasis:entry colname="col5">0.0009</oasis:entry>
         <oasis:entry colname="col6">0.0012</oasis:entry>
         <oasis:entry colname="col7">0.0010</oasis:entry>
         <oasis:entry colname="col8">0.0010</oasis:entry>
         <oasis:entry colname="col9">0.0011</oasis:entry>
         <oasis:entry colname="col10">0.0012</oasis:entry>
         <oasis:entry colname="col11">0.0007</oasis:entry>
         <oasis:entry colname="col12">0.0007</oasis:entry>
         <oasis:entry colname="col13">0.0019</oasis:entry>
         <oasis:entry colname="col14">0.0012</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Wall<sup>*</sup></oasis:entry>
         <oasis:entry colname="col4">0.0086</oasis:entry>
         <oasis:entry colname="col5">0.0043</oasis:entry>
         <oasis:entry colname="col6">0.0034</oasis:entry>
         <oasis:entry colname="col7">0.0096</oasis:entry>
         <oasis:entry colname="col8">0.0047</oasis:entry>
         <oasis:entry colname="col9">0.0045</oasis:entry>
         <oasis:entry colname="col10">0.0169</oasis:entry>
         <oasis:entry colname="col11">0.0041</oasis:entry>
         <oasis:entry colname="col12">0.0080</oasis:entry>
         <oasis:entry colname="col13">0.0069</oasis:entry>
         <oasis:entry colname="col14">0.0071</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2">Morphological </oasis:entry>
         <oasis:entry colname="col3">Urban percentage</oasis:entry>
         <oasis:entry colname="col4">0.0029</oasis:entry>
         <oasis:entry colname="col5">0.0039</oasis:entry>
         <oasis:entry colname="col6">0.0048</oasis:entry>
         <oasis:entry colname="col7">0.0033</oasis:entry>
         <oasis:entry colname="col8">0.0031</oasis:entry>
         <oasis:entry colname="col9">0.0031</oasis:entry>
         <oasis:entry colname="col10">0.0047</oasis:entry>
         <oasis:entry colname="col11">0.0034</oasis:entry>
         <oasis:entry colname="col12">0.0023</oasis:entry>
         <oasis:entry colname="col13">0.0023</oasis:entry>
         <oasis:entry colname="col14">0.0034</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2"/>
         <oasis:entry colname="col3">Roof fraction</oasis:entry>
         <oasis:entry colname="col4">0.0019</oasis:entry>
         <oasis:entry colname="col5">0.0029</oasis:entry>
         <oasis:entry colname="col6">0.0024</oasis:entry>
         <oasis:entry colname="col7">0.0029</oasis:entry>
         <oasis:entry colname="col8">0.0045</oasis:entry>
         <oasis:entry colname="col9">0.0046</oasis:entry>
         <oasis:entry colname="col10">0.0061</oasis:entry>
         <oasis:entry colname="col11">0.0024</oasis:entry>
         <oasis:entry colname="col12">0.0026</oasis:entry>
         <oasis:entry colname="col13">0.0087</oasis:entry>
         <oasis:entry colname="col14">0.0039</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2"/>
         <oasis:entry colname="col3">Pervious fraction</oasis:entry>
         <oasis:entry colname="col4">0.0056</oasis:entry>
         <oasis:entry colname="col5">0.0060</oasis:entry>
         <oasis:entry colname="col6">0.0059</oasis:entry>
         <oasis:entry colname="col7">0.0076</oasis:entry>
         <oasis:entry colname="col8">0.0073</oasis:entry>
         <oasis:entry colname="col9">0.0085</oasis:entry>
         <oasis:entry colname="col10">0.0104</oasis:entry>
         <oasis:entry colname="col11">0.0049</oasis:entry>
         <oasis:entry colname="col12">0.0074</oasis:entry>
         <oasis:entry colname="col13">0.0107</oasis:entry>
         <oasis:entry colname="col14">0.0074</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2"/>
         <oasis:entry colname="col3">Canyon height-to-width ratio</oasis:entry>
         <oasis:entry colname="col4">0.0751</oasis:entry>
         <oasis:entry colname="col5">0.1702</oasis:entry>
         <oasis:entry colname="col6">0.2130</oasis:entry>
         <oasis:entry colname="col7">0.1307</oasis:entry>
         <oasis:entry colname="col8">0.1592</oasis:entry>
         <oasis:entry colname="col9">0.1585</oasis:entry>
         <oasis:entry colname="col10">0.2156</oasis:entry>
         <oasis:entry colname="col11">0.1058</oasis:entry>
         <oasis:entry colname="col12">0.0681</oasis:entry>
         <oasis:entry colname="col13">0.1052</oasis:entry>
         <oasis:entry colname="col14">0.1401</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2"/>
         <oasis:entry colname="col3">Building height (m)</oasis:entry>
         <oasis:entry colname="col4">3.8092</oasis:entry>
         <oasis:entry colname="col5">5.0254</oasis:entry>
         <oasis:entry colname="col6">5.0589</oasis:entry>
         <oasis:entry colname="col7">5.2250</oasis:entry>
         <oasis:entry colname="col8">4.4660</oasis:entry>
         <oasis:entry colname="col9">4.5200</oasis:entry>
         <oasis:entry colname="col10">8.2679</oasis:entry>
         <oasis:entry colname="col11">2.8700</oasis:entry>
         <oasis:entry colname="col12">3.0307</oasis:entry>
         <oasis:entry colname="col13">2.5947</oasis:entry>
         <oasis:entry colname="col14">4.4868</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e3207"><sup>*</sup> Wall radiative parameters were processed by directly utilizing the roof parameters, resulting in the same uncertainty range.</p></table-wrap-foot></table-wrap>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Broader implications of U-Surf</title>
      <p id="d2e3933">The U-Surf dataset significantly advances the development of ultra-high-resolution urban-resolving process-based ESMs and RCMs. Its high-resolution capabilities allow for a detailed and refined representation of urban areas, breaking away from the limitations of previous models that relied on coarse regional divisions and outdated classifications. By integrating the latest global data sources, U-Surf provides global continuity and local granularity in urban surface representation. This enhanced representation shows promise in correcting systematic biases in current models and improving their modeling accuracy and predictability. For example, a recent study finds that the simulated urban heat island (UHI) effects tend to be overestimated in CESM2 (Liu et al., 2024). To test the effects of U-Surf, we have run two preliminary land-only CESM2 simulations (0.9375° <inline-formula><mml:math id="M128" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.25°) spanning from 2010 to 2014 with the default urban surface data and U-Surf, both forced by bias-corrected ERA5 (Cucchi et al., 2020). We find that this overestimation is largely reduced by an average of 0.176 K in annual canopy UHI (CUHI) over China due to the widespread cooling trend in urban near-surface air temperatures (Fig. S28). This improvement aligns with Liu et al. (2024)'s findings that CESM2 overestimates CUHI in China by <inline-formula><mml:math id="M129" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.127 °C. Moreover, the remote-sensing-based methodology offers a unique capability to track the quantitative evolution of urban canopy parameters (UCPs) over time, a level of detail that is difficult to extract from traditional classification methods.</p>
      <p id="d2e3950">While developed with the architecture of Earth system models in mind (namely the CLMU and its versions used in various ESMs), U-Surf can be adapted to other UCMs, such as those embedded in RCMs like WRF, and atmospheric chemistry models such as MUSICA (Pfister et al., 2020; Tang et al., 2023b). Its scalability enables its use in studies ranging from local-scale high-resolution applications to regional- and global-scale analyses. Incorporating detailed fine-resolution UCPs (e.g., plan area fraction <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, frontal area index <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), as demonstrated in WRF studies, is essential for accurately modeling urban climate dynamics (Best and Grimmond, 2014; Georgescu, 2015; Sharma et al., 2017). U-Surf's application in the next-generation kilometer-scale models could help resolve fine-resolution processes such as convection and advection, further advancing the high-fidelity climate and air quality simulations.</p>
      <p id="d2e3975">Finally, the implications of U-Surf extend beyond the realm of climate or Earth system modeling. This comprehensive dataset provides essential urban informatics and properties on the global scale that can be directly used as key input features for machine learning models (Chajaei and Bagheri, 2024; Furuya et al., 2023; Li et al., 2023b), making U-Surf a valuable resource for both process-based and data-driven modeling. U-Surf can potentially serve as a powerful tool for researchers, policymakers, and urban planners across multiple disciplines. In studies examining interactions between urbanization and socioeconomic characteristics, for instance, the dataset can be utilized to explore correlations between urban morphology and economic indicators, potentially revealing relationships between building density, green-space distribution, and neighborhood income levels (Chakraborty et al., 2022; Wang et al., 2024). In the public health sector, U-Surf could be used to investigate links between urban structural design and air quality (Zhang et al., 2023b; Zhang and Gu, 2013). Moreover, the dataset could be beneficial for emergency management and disaster preparedness, enabling more accurate risk assessments in densely built areas (Li et al., 2020b; Ma and Mostafavi, 2024).</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Limitations and future work</title>
      <p id="d2e3987">We note several limitations, which also present opportunities for future improvements. The accuracy of U-Surf is inherently linked to the uncertainties of the synthesized data sources. For instance, the use of Microsoft global building footprints (mostly 2014–2021, with additional updates up to 2023) may result in missing roofs or land cover misclassification within certain pixels. One primary challenge arises from integrating datasets with varying spatiotemporal coverage. Most of the datasets we utilized reflect urban surface properties from 2014 to 2021. Although the temporal discrepancy among different data sources may introduce additional uncertainties, given the small changes in built surfaces within this short time span, these uncertainties are likely to be small. Additionally, the spatial resolution of ASTER GEDv3 data is 100 m, which could be too coarse to accurately distinguish small individual facets, potentially resulting in mixed facet representation. There is also room for improvement in the remote sensing algorithms used to derive some of the raw surface properties incorporated into U-Surf since they are not always calibrated for urban areas (Chakraborty et al., 2021; Chen et al., 2016), though this is beyond the scope of this study. Lastly, we note that certain U-Surf morphological parameters are constructed on the basis of the 2D infinite-street urban-canyon conceptual model used in the CLMU. Direct application of those parameters should follow the same conceptual assumptions regarding the urban geometry. Caution should be given if they are used in more complex representations of the real-world urban landscapes.</p>
      <p id="d2e3990">We plan to continue improving U-Surf in future versions for multiple aspects. For example, we anticipate that the ongoing efforts and continuing endeavors of urban scientific and remote sensing communities will lead to the emergence of more datasets with higher spatial resolutions and accuracies (e.g., more comprehensive building footprints) to be incorporated into or updated in U-Surf. We will also adjust the parameter list to reflect advancements in urban parameterization within RCMs and ESMs. For instance, while urban vegetation is not explicitly represented in the current version of the CLMU and most operational RCMs, we can follow similar data pipelines and sets of constraints (same land cover data, building footprint estimates, etc.) to develop internally consistent global urban vegetation estimates, known to strongly modulate global inter-sample variability in urban climate signals (Chakraborty and Lee, 2019), for the next-generation UCMs in the future. Lastly, depending upon the availability of data sources and new downscaling approaches, we plan to provide temporally varying urban surface properties, which are important for capturing changes in various urban climate signals over time (Chakraborty and Qian, 2024; Fang et al., 2023; Wu et al., 2024).</p>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Code and data availability</title>
      <p id="d2e4001">The global 1 km continuous urban surface property dataset (U-Surf) is publicly available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.11247598" ext-link-type="DOI">10.5281/zenodo.11247598</ext-link> (Cheng et al., 2024). In addition to the raw dataset at 1 km resolution, we also provided the CESM2- and E3SM-compatible versions at a standard resolution (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.9375</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) as the ready-to-use input surface dataset for CESM2 simulations. The U-Surf dataset will be incorporated as part of a future release into the high-resolution branch of CTSM (<uri>https://github.com/ESCOMP/CTSM</uri>, NCAR, 2025).</p>
      <p id="d2e4026">To facilitate interactive data visualization, query, download, and location-specific analysis, we have further developed a web application using Google Earth Engine (GEE). This interactive platform allows users to explore various urban areas by zooming in on the map, toggling between different parameter layers for comprehensive analysis, and extracting precise values for all parameters by simply clicking on points of interest or selecting areas of interest. The GEE web application is publicly available at <uri>https://ycheng1891.users.earthengine.app/view/global-1km-urban-surface-property-dataset</uri> (Cheng, 2025b).</p>
      <p id="d2e4032">The code and intermediate data layers are available from the authors upon request.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusion</title>
      <p id="d2e4043">Despite recent advances in urban climate model development across scales, one long-standing critical barrier remains: the absence of a complete, fine-resolution, globally consistent, and spatially explicit urban surface property dataset. Existing products relying on broad categorization underscore the challenge of developing an urban representation that can balance global consistency and local precision. This has been preventing the development of urban-resolving Earth system models for decades, as well as ultra-high-resolution urban modeling across scales. To address this challenge, we develop a first-of-its-kind global 1 km continuous urban surface property dataset, U-Surf. Leveraging recent advancements in remote sensing technologies and machine learning algorithms, U-Surf provides a comprehensive, present-day dataset of urban surface properties that can be used in state-of-the-art ESMs and RCMs.</p>
      <p id="d2e4046">The high-resolution U-Surf dataset significantly enhances urban representation in terms of both spatial heterogeneity and accuracy on the global scale, enables detailed city-to-city comparisons in Earth system modeling, and facilitates high-resolution urban climate modeling across scales. By breaking the constraints of predefined urban density classes, the new dataset provides a more nuanced and accurate representation of urban environments worldwide. The remote-sensing-based approach captures the actual surface properties as observed from space, accounting for the complex mixture of materials and structures in urban areas that are difficult to illustrate through traditional bottom-up material-based approaches, which provides more effective and accurate urban canopy parameterization compared to the generalization of material-based values used in previous datasets.</p>
      <p id="d2e4049">The dataset represents a key step forward in advancing the development of ultra-high-resolution Earth system modeling. While developed to be consistent with common ESM architecture in mind, U-Surf can be adapted quite easily for other models such as weather and regional climate models and air pollution models, and its data may be useful as inputs for machine learning algorithms. The facet-level signals in U-Surf also provide critical information for research and applications across multiple disciplines such as socioeconomics, public health, and urban planning, making U-Surf a powerful tool for addressing contemporary challenges in urban development, disaster preparedness, and sustainable city planning. As climate change and urbanization continue to reshape the planet, toolkits like this dataset will play increasingly vital roles in understanding future climate-change- and urbanization-driven risks and impacts, further opening up new avenues for research into context-specific guidance for climate-sensitive urban planning and actionable climate adaptation strategies.</p>
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      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p id="d2e4051">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-17-2147-2025-supplement" xlink:title="pdf">https://doi.org/10.5194/essd-17-2147-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4062">LZ and TC proposed and designed the study. YiC performed the data processing, modeling, and analysis and developed the final data product. LZ, TC, KO, MD, WL, and YZ contributed ideas to the data collection, modeling, validation, and analysis. YaC and WL constructed and trained the global building height model and contributed to building height data curation and analysis. XL developed the global AC penetration rate dataset. YiC and LZ drafted the paper. All the authors edited and revised the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4068">At least one of the (co-)authors is a member of the editorial board of <italic>Earth System Science Data</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e4077">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e4083">We acknowledge the high-performance-computing support provided by the U.S. NSF National Center for Atmospheric Research (NCAR)’s Computational and Information Systems Laboratory, sponsored by the US National Science Foundation. We thank Justin Braaten of the Google Earth Engine team for his technical support. We also thank the two reviewers of this work for their valuable suggestions.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4088">This research has been supported by the US National Science Foundation (CAREER Award grant no. 2145362); the NSF National Center for Atmospheric Research (grant no. 1852977); the Earth System Model Development and Regional and Global Model Analysis program Areas and Office of Science, Biological and Environmental Research program of the US Department of Energy (grant no. DE-AC05-76RL01830); the US National Aeronautics and Space Administration (grant no. 80NSSC25K7322); and the European Union's HORIZON Research and Innovation Actions (grant no. 101137851).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4095">This paper was edited by Xuecao Li and reviewed by Yong Wang and one anonymous referee.</p>
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