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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-17-3391-2025</article-id><title-group><article-title>A 3 h, 1 km surface soil moisture dataset for the contiguous United States from 2015 to 2023</article-title><alt-title>A 3 h, 1 km surface soil moisture dataset for the contiguous United States from 2015 to 2023</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Yang</surname><given-names>Haoxuan</given-names></name>
          <email>yhx965665334@163.com</email>
        <ext-link>https://orcid.org/0000-0001-7389-1447</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yang</surname><given-names>Jia</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ochsner</surname><given-names>Tyson E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Krueger</surname><given-names>Erik S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Xu</surname><given-names>Mengyuan</given-names></name>
          
        <ext-link>https://orcid.org/0009-0001-1233-3799</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zou</surname><given-names>Chris B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0080-2866</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Natural Resource Ecology and Management,  Oklahoma State University, Stillwater, OK 74078, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Plant and Soil Sciences, Oklahoma State University, Stillwater, OK 74078, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Agricultural Science and Technology Information,  Shanghai Academy of Agricultural Sciences, Shanghai 201403, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Haoxuan Yang (yhx965665334@163.com)</corresp></author-notes><pub-date><day>16</day><month>July</month><year>2025</year></pub-date>
      
      <volume>17</volume>
      <issue>7</issue>
      <fpage>3391</fpage><lpage>3409</lpage>
      <history>
        <date date-type="received"><day>28</day><month>January</month><year>2025</year></date>
           <date date-type="rev-request"><day>12</day><month>February</month><year>2025</year></date>
           <date date-type="rev-recd"><day>15</day><month>April</month><year>2025</year></date>
           <date date-type="accepted"><day>24</day><month>April</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Haoxuan Yang 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/17/3391/2025/essd-17-3391-2025.html">This article is available from https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e143">Surface soil moisture (SSM) is a critical variable for understanding the terrestrial hydrologic cycle, and it influences ecosystem dynamics, agriculture productivity, and water resource management. Although SSM information is widely estimated through satellite-derived and model-assimilated methods, datasets with fine spatio-temporal resolutions remain unavailable at the continental scale and yet are essential for improving weather forecasting, optimizing precision irrigation, and enhancing fire risk assessment. In this study, we developed a new 3 h, 1 km spatially seamless SSM dataset spanning 2015 to 2023, covering the entire contiguous United States (CONUS), using a spatio-temporal fusion model. This approach effectively combines the distinct advantages of two long-term SSM datasets, namely, the Soil Moisture Active Passive (SMAP) L4 SSM product and the Crop Condition and Soil Moisture Analytics (Crop-CASMA) dataset. The SMAP product provides spatially seamless SSM observations with a 3 h temporal resolution but at a 9 km spatial resolution, while the Crop-CASMA SSM dataset offers a finer spatial resolution of 1 km but has a daily temporal resolution and contains spatial gaps. To overcome the spatio-temporal mismatch between the two products, we developed a time series data mining approach known as the highly comparative time series analysis (HCTSA) method to extract multiple spatially seamless characteristics (e.g., maximum and mean) from the two inter-annual SSM datasets (i.e., SMAP and Crop-CASMA). Then, the fusion model was constructed using the extracted 9 and 1 km characteristics and each scene of the SMAP in turn. Finally, the 3 h, 1 km SSM data (named STF_SSM) were predicted from 2015 to 2023. The comparison with in situ data from multiple SSM observation networks showed that the performance of our STF_SSM dataset is better than the Crop-CASMA and is close to the SMAP L4 product, with a mean correlation coefficient (CC) of 0.716 at the daily scale and 0.689 at the 3 h scale. The STF_SSM dataset in this study is the first long-time-series, spatially seamless SSM dataset to realize continuous intra-day 1 km SSM observations every 3 h across the CONUS, which provides a new insight into the fast changes in soil moisture along with drought and wet spell occurrences and ecosystem responses. Additionally, this dataset provides a valuable data source for the calibration and validation of land surface models. The STF_SSM dataset is available at <uri>https://doi.org/10.5066/P13CCN69</uri> (Yang et al., 2025a).</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>South Central Climate Adaptation Science Center</funding-source>
<award-id>G23AC0454</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Joint Fire Science Program</funding-source>
<award-id>23-2-01-9</award-id>
</award-group>
<award-group id="gs3">
<funding-source>National Science Foundation</funding-source>
<award-id>Oklahoma EPSCoR S3OK project (OIA-1946093)</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Science and Technology Commission of Shanghai Municipality</funding-source>
<award-id>24YF2737600</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="d2e158">Surface soil moisture (SSM) is an important component of global hydrological cycling and serves as a key indicator of drought occurrences (Souza et al., 2021; Krueger et al., 2024), climate change (Guillod et al., 2015), and ecosystem functions (Green et al., 2019; Liu et al., 2020a). To better understand the spatio-temporal changes in SSM, the Soil Moisture Active Passive (SMAP) satellite, launched in 2015, provides SSM data on a global scale at spatial resolutions of 9 and 36 km using the onboard L-band radiometer (Entekhabi et al., 2010; Chan et al., 2016). SMAP products are generated at four levels of processing. Retrieved from brightness temperature information observed by satellites, SMAP Level 2 (L2) and Level 3 (L3) SSM data are half-orbital and composited daily. However, considering the non-overlapping revisit orbit and snow coverage, spatial gaps are inevitable in SMAP L2 and L3 SSM products. To solve this problem, the SMAP Level 4 (L4) SSM product assimilates SMAP L2 and L3 data into a land surface model and provides spatially seamless SSM and root zone soil moisture estimates with a temporal resolution of 3 h and spatial resolution of 9 km.</p>
      <p id="d2e161">Numerous studies have investigated the performance of satellite-derived SSM based on the triple collocation analysis (Chen et al., 2018), information theory (Kumar et al., 2018), and ground-based in situ data  (Kim et al., 2018). Results showed that the SMAP data typically have better performance on a global scale compared with other satellite-derived SSM products, such as the Soil Moisture and Ocean Salinity (SMOS), the Advanced Scatterometer (ASCAT), and Advanced Microwave Scanning Radiometer 2 (AMSR2). For example, Ma et al. (2019) and Min et al. (2023) demonstrated that SMAP data outperformed the SMOS, AMSR2, and Climate Change Initiative of the European Space Agency (CCI) SSM product in terms of capturing temporal dynamics. Montzka et al. (2017) evaluated different SSM products in six regions and found that the SMAP data had greater accuracy than SMOS, AMSR2, and ASCAT. Additionally, SMAP data outperformed other satellite-derived SSM products in the Gilgel Abay watershed of Ethiopia (Alaminie et al., 2024), the Genhe area in China (Cui et al., 2017), and the Huai River basin of China (Wang et al., 2021).</p>
      <p id="d2e164">Although the SMAP data are stable and reliable, potential applications are constrained by their coarse spatial resolution. To address this issue, several downscaling strategies have been applied by integrating optical/thermal infrared data (Peng et al., 2017; Sabaghy et al., 2020; Abbaszadeh et al., 2021; Meng et al., 2024). In general, the universal triangle feature (Carlson et al., 1990, 1995) and trapezoidal feature spaces (Moran et al., 1994; Merlin et al., 2012) provide the theoretical basis for most downscaling studies. The universal triangle feature primarily leverages land surface temperature (LST) and normalized difference vegetation index (NDVI) from optical/thermal infrared data, e.g., the Moderate-Resolution Imaging Spectroradiometer (MODIS), to capture spatio-temporal variations in SSM, highlighting the fact that SSM is closely related to LST and NDVI. (Carlson, 2007). Compared to the universal triangle feature, the trapezoidal feature considers the influence of the fraction of water-stressed vegetation (Djamai et al., 2016). By incorporating fine-resolution LST and NDVI at various fractional vegetation cover conditions, the effects of evaporation (e.g., soil evaporative efficiency) can be quantified, enabling the development of SSM products at high spatial resolution (Merlin et al., 2012; Kim and Hogue, 2012; Molero et al., 2016). Therefore, fine-resolution LST and NDVI are often employed as auxiliary data for SSM downscaling.</p>
      <p id="d2e167">Commonly, downscaling approaches are based on geostatistical models, which consider the spatial variations of LST and NDVI within and outside of the SSM pixel (Song et al., 2019). For example, a regression kriging-based model and its modified version were used to disaggregate the coarse pixels in SSM data using LST and NDVI data (Jin et al., 2018; Wen et al., 2020; Jin et al., 2021; Yang et al., 2024). Robust ensemble learning approaches have also been used to downscale SSM (Zhao et al., 2018; Wei et al., 2019; Karthikeyan and Mishra, 2021). For example, by integrating multiple decision tree models, a random forest model was employed to downscale SMAP SSM data from 36 to 1 km (Hu et al., 2020). This approach can include fine-resolution auxiliary information, such as topography, location, and soil texture (Abbaszadeh et al., 2019; Liu et al., 2020b; Guevara et al., 2021; Wang et al., 2022). Deep learning is another popular downscaling approach as the strong fitting capability effectively characterizes the SSM using LST, NDVI, and other auxiliary information (Xu et al., 2022; Zhao et al., 2022; Xu et al., 2024).</p>
      <p id="d2e171">Using the aforementioned methods, many high-resolution SSM datasets have been developed (Vergopolan et al., 2021; Han et al., 2023; Brocca et al., 2024). However, the optical/thermal infrared auxiliary data are usually disturbed by atmospheric conditions, such as clouds and haze (Ma et al., 2022a, b), resulting in difficult disaggregation of coarse SSM pixels under clouds or haze. To mitigate these issues, multiple-day composited optical/thermal infrared data are often used as the auxiliary variables for producing the SSM dataset (Li et al., 2022; Zheng et al., 2023). Meanwhile, reconstruction of the missing optical/thermal infrared data is a reliable choice, which is then used for SSM generation (Long et al., 2019; Abowarda et al., 2021; Song et al., 2022). For example, Zhao et al. (2021) reconstructed the seamless LST data and used them to generate the SSM dataset at a 1 km spatial resolution. In addition, integrating other high-resolution SSM products is also an appropriate method which can avoid the influence of the optical/thermal infrared auxiliary data (Jiang et al., 2019; Yang et al., 2022; Jiang et al., 2024). In addition, synthetic aperture radar (SAR) data are also beneficial for generating high-resolution SSM datasets. Since microwave signals can penetrate the cover of clouds or haze, the SSM estimation can avoid the influence of weather factors. However, producing a large-scale, fine-temporal-resolution SSM product is limited by the coarse revisit period and narrow swath width of SAR data (Wang et al., 2023; Zhu et al., 2023; Fan et al., 2025).</p>
      <p id="d2e174">High-resolution SSM datasets have been developed based on the original SMAP SSM product. For instance, the National Aeronautics and Space Administration (NASA) combined data from the Sentinel-1 satellites' synthetic aperture radar with SMAP's passive radiometer to produce the SSM product (SPL2SMAP_S) which offers a spatial resolution of 3 km (Jagdhuber et al., 2019). However, differences in the revisit orbits of SMAP and Sentinel-1 coupled with the narrower swath width of Sentinel-1 compared to SMAP restrict the spatial coverage of the SPL2SMAP_S product (Das et al., 2019; Kim et al., 2021). In addition, the United States Department of Agriculture's National Agricultural Statistics Service (USDA-NASS) has developed a daily, 1 km resolution SSM product within the Crop Condition and Soil Moisture Analytics (Crop-CASMA) system (Colliander et al., 2019; Zhang et al., 2022). This product disaggregates the 9 km satellite-derived SMAP SSM data by incorporating auxiliary 1 km data from MODIS (Liu et al., 2021, 2022). Although the Crop-CASMA SSM product provides sufficient spatial details, it retains spatial gaps inherent to the daily SMAP SSM data, limiting its overall spatial continuity. Similarly, the lack of spatial information also restricts the application of other high-resolution SSM datasets (Fang et al., 2022; Lakshmi and Fang, 2023; Yang et al., 2024).</p>
      <p id="d2e177">Finer spatial and temporal resolutions have become increasingly important for SSM datasets to facilitate more accurate monitoring of dynamic soil moisture variations. For long time series and large-scale SSM datasets, a 1 km spatial resolution is commonly adopted as daily auxiliary data at 1 km resolution can be extracted from MODIS. However, the commonly used 1 km SSM datasets at a large scale have a daily or even coarser temporal resolution, limiting their capacity to depict the intra-day SSM variations. This highlights the challenge of achieving both high temporal and high spatial resolution in SSM datasets simultaneously.</p>
      <p id="d2e180">In this work, we generated a 3 h, 1 km SSM dataset (denoted as STF_SSM) for the contiguous United States (CONUS) from 2015 to 2023. Based on an advanced and efficient spatio-temporal fusion model, the advantages of high observation frequency (3 h) in the SMAP L4 SSM product and satisfactory spatial details (1 km) in the Crop-CASMA SSM dataset were integrated into a new SSM dataset. A time series data mining approach was employed to extract multiple spatially seamless characteristics from the SMAP L4 and Crop-CASMA SSM datasets, effectively addressing the spatio-temporal mismatches between the two input datasets within the fusion model. To evaluate the performance of the STF_SSM dataset, ground-based in situ measurements were used for validation at both 3 h and daily scales. The generated STF_SSM dataset facilitates intra-day SSM observations, providing a valuable resource for the related studies.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data</title>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>SMAP L4 SSM product</title>
      <p id="d2e205">SMAP L4 SSM data were downloaded from <uri>https://nsidc.org</uri> (last access: 25 September 2024). The temporal and spatial resolutions of the SMAP L4 SSM product are 3 h and 9 km, respectively. The SMAP L4 SSM product has a spatially complete coverage on a global scale. Validation studies showed that the SMAP L4 product provides more accurate and stable performance than SMAP L3 across all seasons (Tavakol et al., 2019). In this work, we used the latest version 7 SMAP L4 geophysical dataset.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Crop-CASMA SSM data</title>
      <p id="d2e219">The Crop-CASMA system integrates crucial vegetation and soil moisture data for the CONUS (such as SSM, root-zone soil moisture, and NDVI). These data are continuously updated and can be freely accessed via the USDA-NASS website at <uri>https://nassgeo.csiss.gmu.edu/CropCASMA/</uri> (last access: 19 September 2024). The system supports direct download, analysis, and visualization. In this study, the Crop-CASMA SSM data are derived from the SMAP Thermal Hydraulic disaggregation of Soil Moisture (SMAP THySM) dataset, which can provide 1 km daily SSM data and has 2 d of latency (Liu et al., 2021, 2022; Zhang et al., 2022).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>In situ data</title>
      <p id="d2e233">In situ data are measured and recorded by ground-based sensors at different depths, which have often been used as the reference for validation of satellite-derived SSM datasets (Dorigo et al., 2015). In this study, in situ data from 2015 to 2023 were obtained from the International Soil Moisture Network (<uri>https://ismn.earth/en/</uri>, last access: 26 September 2024) and the Oklahoma Mesonet (<uri>https://www.mesonet.org/</uri>, last access: 17 November 2024) with measurements taken at a depth of 5 cm (McPherson et al., 2007). Note that the available in situ data were further filtered to ensure that only one site was included per SSM pixel. Detailed information and locations of the in situ networks are presented in Table 1 and Fig. 1.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e245">Details of the selected in situ data and soil moisture observation network for validation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Network</oasis:entry>
         <oasis:entry colname="col2">Site number</oasis:entry>
         <oasis:entry colname="col3">Sensor</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">ARM</oasis:entry>
         <oasis:entry colname="col2">14</oasis:entry>
         <oasis:entry colname="col3">Hydraprobe II Sdi-12 E</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CW3E</oasis:entry>
         <oasis:entry colname="col2">16</oasis:entry>
         <oasis:entry colname="col3">CS616/Stevens-Hydra-Probe</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FLUXNET-AMERIFLUX</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">CS655/ThetaProbe-ML2X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MESONET</oasis:entry>
         <oasis:entry colname="col2">123</oasis:entry>
         <oasis:entry colname="col3">Campbell Scientific 229-L</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PBO_H2O</oasis:entry>
         <oasis:entry colname="col2">130</oasis:entry>
         <oasis:entry colname="col3">GPS</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SCAN</oasis:entry>
         <oasis:entry colname="col2">183</oasis:entry>
         <oasis:entry colname="col3">Hydraprobe-Analog-(2.5-Volt)/Hydraprobe-Digital-Sdi-12-(2.5-Volt)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SNOTEL</oasis:entry>
         <oasis:entry colname="col2">261</oasis:entry>
         <oasis:entry colname="col3">Hydraprobe-Analog-(2.5-Volt)/Hydraprobe-Analog-(5.0-Volt)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TxSON</oasis:entry>
         <oasis:entry colname="col2">15</oasis:entry>
         <oasis:entry colname="col3">CS655</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">USCRN</oasis:entry>
         <oasis:entry colname="col2">91</oasis:entry>
         <oasis:entry colname="col3">Stevens-Hydraprobe-II-Sdi-12</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e388">Spatial distribution of the in situ soil moisture observation sites used in this study for soil moisture validation. Each red point refers to one site. The eight marked sites show temporal variations of surface soil moisture (SSM) in Figs. 6 and 7, respectively. The basemap is from Esri, Earthstar Geographics, and the GIS User Community.</p></caption>
            <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f01.jpg"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS1.SSS4">
  <label>2.1.4</label><title>Land cover and terrain data</title>
      <p id="d2e405">In this study, we validate the performance of our developed datasets for different land cover types and different terrain conditions. Land cover type data were from the National Land Cover Database (NLCD) product available at <uri>https://www.mrlc.gov/</uri> (last access: 20 November 2024), which includes annual land cover type at a spatial resolution of 30 m (Homer et al., 2020; Jin et al., 2023). Additionally, 30 m digital elevation models (DEM) from the NASA Shuttle Radar Topography Mission project were utilized to describe the terrain information in the CONUS (Rabus et al., 2003).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Method</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Characteristic extraction</title>
      <p id="d2e427">Because of the spatial gaps in the Crop-CASMA SSM data, it is difficult to directly exploit the daily Crop-CASMA SSM scene for the construction of the spatio-temporal fusion model (see next section). To deal with this problem, a time series mining approach, i.e., highly comparative time series analysis (HCTSA), was adopted to extract four spatially seamless 1 km characteristics (maximum, minimum, mean, and median) in each pixel from the Crop-CASMA SSM time series data (Fulcher et al., 2013; Fulcher and Jones, 2017). Additionally, to match the extracted characteristics from the Crop-CASMA SSM data, the same characteristics were also extracted at 9 km resolution from the corresponding SMAP L4 time series data.</p>
      <p id="d2e430">Even though the location of spatial gaps in the Crop-CASMA SSM time series are varying over time, the extracted HCTSA-based characteristics are not affected (Yang and Wang, 2023). Typically, some factors that significantly influence SSM (e.g., precipitation, vegetation, and temperature) exhibit periodic changes in the year, indicating that inter-annual fluctuations in SSM tend to follow a periodic pattern. Thus, we selected a 1-year temporal span for extracting these characteristics of maximum, minimum, mean, and median SSM. The extracted characteristics were then utilized to generate the corresponding STF_SSM scene.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Spatio-temporal fusion model</title>
      <p id="d2e441">In this study, the virtual image pair-based spatio-temporal fusion (VIPSTF) model is employed to generate the 3 h, 1 km STF_SSM dataset due to its stable performance, superior computational efficiency, and flexible usage (Wang et al., 2020; Yang et al., 2023). The spatial weighting version of the VIPSTF model was adopted in this study because of the reliable accuracy. The operation of the VIPSTF model requires at least one or multiple known image pairs at different spatial resolutions (a data pair is defined as one coarse-resolution and one fine-resolution characteristic extracted from the same year). Here, the extracted 1 and 9 km HCTSA-based characteristics (i.e., maximum, minimum, mean, and median of SSM time series) from the SMAP L4 and Crop-CASMA SSM time series (i.e., four image pairs) are blended using the VIPSTF model. Specifically, each STF_SSM scene is produced as follows:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M1" display="block"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:mi mathvariant="bold">SSM</mml:mi></mml:mrow><mml:mo stretchy="true" mathvariant="normal">^</mml:mo></mml:mover><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:msub><mml:mi mathvariant="bold">SSM</mml:mi><mml:mi mathvariant="normal">VIP</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:msub><mml:mi mathvariant="bold">SSM</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:mi mathvariant="bold">SSM</mml:mi></mml:mrow><mml:mo stretchy="true" mathvariant="normal">^</mml:mo></mml:mover><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the generated 3 h, 1 km SSM scene at time <inline-formula><mml:math id="M3" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:msub><mml:mi mathvariant="bold">SSM</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> refers to the increment data of the model at a 1 km spatial resolution at time <inline-formula><mml:math id="M5" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>. The virtual <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:msub><mml:mi mathvariant="bold">SSM</mml:mi><mml:mi mathvariant="normal">VIP</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> scene was predicted using a linear combination of the four extracted 1 km characteristics from the Crop-CASMA SSM time series data in Eq. (2):

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M7" display="block"><mml:mrow><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:msub><mml:mi mathvariant="bold">SSM</mml:mi><mml:mi mathvariant="normal">VIP</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi mathvariant="bold">F</mml:mi><mml:mi mathvariant="italic">_</mml:mi><mml:msub><mml:mi mathvariant="bold">C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the coefficient for the <inline-formula><mml:math id="M9" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th extracted fine characteristic <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi mathvariant="bold">F</mml:mi><mml:mi mathvariant="italic">_</mml:mi><mml:msub><mml:mi mathvariant="bold">C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at a 1 km spatial resolution. <inline-formula><mml:math id="M11" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the number of the characteristics (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> in this study), and <inline-formula><mml:math id="M13" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> denotes a constant. Based on the assumption of scale invariance (Wang and Atkinson, 2018), the optimal coefficients <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M15" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> for each 3 h SMAP scene were calculated in a linear regression as follows:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M16" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold">SMAP</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>a</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi mathvariant="bold">C</mml:mi><mml:mi mathvariant="italic">_</mml:mi><mml:msub><mml:mi mathvariant="bold">C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold">SMAP</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">SMAP</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> refers to the known SMAP L4 SSM scene at time <inline-formula><mml:math id="M18" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mi mathvariant="bold">C</mml:mi><mml:mi mathvariant="italic">_</mml:mi><mml:msub><mml:mi mathvariant="bold">C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the <inline-formula><mml:math id="M20" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th extracted coarse characteristic at a 9 km spatial resolution from the SMAP L4 SSM time series data. <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold">SMAP</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the residual data from the regression at time <inline-formula><mml:math id="M22" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>. Moreover, the increment data (i.e., <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:msub><mml:mi mathvariant="bold">SSM</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in Eq. (1) can be disaggregated by the following spatial weighting scheme:

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M24" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="bold">STF</mml:mi><mml:mi mathvariant="bold">_</mml:mi><mml:msub><mml:mi mathvariant="bold">SSM</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>s</mml:mi></mml:munderover><mml:msub><mml:mi>w</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold">SMAP</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            In Eq. (4), <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> denotes the spatial distribution of the <inline-formula><mml:math id="M26" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th similar pixel surrounding the center pixel <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The number of surrounding similar pixels is represented by <inline-formula><mml:math id="M28" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>. Additionally, <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents a weight calculated based on the distance between the center pixel and the <inline-formula><mml:math id="M30" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th surrounding similar pixels. <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold">SMAP</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was interpolated from 9 to 1 km using the bicubic method.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Data generation</title>
      <p id="d2e993">Based on the VIPSTF model, the 3 h, 1 km STF_SSM dataset was generated from 1 April 2015 to 31 December 2023. The generation flowchart is depicted in Fig. 2. The specific process steps for producing the STF_SSM dataset are described as follows: <list list-type="order"><list-item>
      <p id="d2e998">For each year, 1 and 9 km spatially seamless characteristics (i.e., maximum, minimum, mean, and median) were extracted from the Crop-CASMA and SMAP L4 SSM time series using the HCTSA method, respectively.</p></list-item><list-item>
      <p id="d2e1002">To generate a STF_SSM scene at time <inline-formula><mml:math id="M32" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>, a VIPSTF model was constructed using the extracted characteristics in step (1) and a SMAP L4 SSM scene at time <inline-formula><mml:math id="M33" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> within the year. Then, the STF_SSM scene at time <inline-formula><mml:math id="M34" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> was generated.</p></list-item><list-item>
      <p id="d2e1027">The aforementioned steps were repeated after each 3 h period to produce the 3 h, 1 km STF_SSM data.</p></list-item></list> Finally, a total of 25 567 STF_SSM scenes were produced, accounting for approximately 1.78 TB. Each STF_SSM scene requires approximately 73.0 MB of storage space. The Pete High-Performance Computing (HPC) facility at Oklahoma State University was employed for data generation.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1033">Flowchart for generating the 3 h, 1 km STF_SSM dataset from 2015 to 2023.</p></caption>
            <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f02.jpg"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Validation</title>
      <p id="d2e1051">In this paper, we divide the soil moisture observations (Fig. 1) into two groups (3 h group and daily group) for the validation of our generated data. Considering that the time of SMAP L4 and STF_SSM data is not on the hour (at 01:30, 04:30, 07:30, 10:30, 13:30, 16:30, 19:30, and 22:30 UTC (time zone used throughout)), the average SSM value between two adjacent integer times was used to represent the SSM value at the specific time. For example, when validating the SMAP L4 and STF_SSM scenes at 04:30, the mean value of the 04:00 and 05:00 in situ data was used to represent the soil moisture at 04:30. For daily-scale validation, the hourly in situ data were averaged to obtain daily values. Similarly, the 3 h SMAP L4 and STF_SSM data were composited into daily scenes. To assess accuracy, five widely used statistical metrics were adopted, that is, the correlation coefficient (CC), root mean square error (RMSE), bias (Bias), unbiased root mean square error (ubRMSE), and Kling–Gupta efficiency (KGE).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Spatial pattern of the developed SSM dataset</title>
      <p id="d2e1070">The spatial pattern of the Crop-CASMA SSM, the SMAP L4 SSM, and the generated STF_SSM datasets are shown in Fig. 3 at four randomly selected time points (i.e., 1 April 2015, 8 June 2017, 16 August 2019, and 25 October 2021). The 1 km Crop-CASMA SSM dataset has spatial gaps and does not have wall-to-wall data covering the entire CONUS. In contrast, both the SMAP L4 and STF_SSM datasets can provide spatially seamless observations. It is noted that the SMAP L4 SSM scenes contain some abnormal pixels with extremely high SSM values (SSM values of 0.6 and higher), especially in the northern part of the CONUS (e.g., some pixels around the Great Lakes in Fig. 3).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1075">Spatial pattern of surface soil moisture (SSM) in the Crop-CASMA SSM dataset (left), SMAP L4 SSM product (middle), and STF_SSM dataset (right) on 1 April 2015 (01:30), 8 June 2017 (07:30), 16 August 2019 (13:30), and 25 October 2021 (19:30). Both the SMAP L4 and STF_SSM datasets are exhibited at the 3 h scale, while the Crop-CASMA SSM dataset is displayed at the daily scale. The basemap is from Esri, Earthstar Geographics, and the GIS User Community.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f03.jpg"/>

        </fig>

      <p id="d2e1084">To illustrate the advantages of the STF_SSM dataset, we zoomed into a sub-region in the CONUS at a date with rainfall (14 August 2018) and showed SSM in the three different datasets in Fig. 4. It is clear that both the 3 h SMAP L4 SSM and STF_SSM datasets can capture increased SSM values from 01:30 to 07:30 in the southwest region of the sub-region. Moreover, The STF_SSM and Crop-CASMA SSM datasets provide more detailed spatial information than those in the SMAP L4 SSM product. The spatial texture of the STF_SSM dataset closely resembles that of the 1 km Crop-CASMA SSM dataset, which is smoother than that of the SMAP L4 SSM product.</p>
      <p id="d2e1088">Next, we selected two random pixels in Nebraska (shown in Fig. 4) to exhibit intra-day SSM variation (Fig. 5). Although the Crop-CASMA SSM scene provides spatial information at a 1 km resolution, it only provides the SSM value at the daily scale. In contrast, both the SMAP L4 and STF_SSM datasets show the changes in SSM every 3 h. Furthermore, the changing patterns of SSM over time are similar between the SMAP L4 and STF_SSM datasets (the CC values in Fig. 5a and b are 0.997 and 0.999), indicating the stability and consistency of the STF_SSM dataset.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1093">A sub-region in the western continental United States (CONUS) to exhibit the spatial textures of the three surface soil moisture (SSM) datasets on 14 August 2018. The basemap is from Esri, Earthstar Geographics, and the GIS User Community.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f04.jpg"/>

        </fig>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1104">The intra-day surface soil moisture (SSM) variation for two randomly selected pixels on 14 August 2018. The Crop-CASMA SSM dataset does not provide the intra-day SSM variation, shown as the flat black line. Panels <bold>(a)</bold> and <bold>(b)</bold> refer to the pixels 1 and 2 in Fig. 4, respectively. Since pixel 2 is located in the spatial gaps of the Crop-CASMA SSM scene, it does not exhibit the flat black line in <bold>(b)</bold>.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Validation based on daily soil moisture observations</title>
      <p id="d2e1130">At the daily scale, the three daily SSM datasets (the Crop-CASMA SSM, SMAP L4 SSM, and STF_SSM datasets) were compared against the daily in situ data from nine soil moisture observation networks. Figure 6 shows the SSM time series acquired from four randomly selected sites distributed across the CONUS: the Windy_Gap site in the CW3E network, CENT site in the MESONET network, DELVALLE site in the PBO_H2O network, and LCRA_4 site in the TxSON network. Although there are gaps in the in situ data at these sites, the available in situ data are sufficient for the validation of these three SSM datasets. Moreover, the SSM daily variations of the three SSM datasets are similar to those of the in situ data. For example, the CC values for the SMAP L4, Crop-CASMA, and STF_SSM datasets in Fig. 6a (Windy_Gap site in the CW3E network) are 0.924, 0.879, and 0.886, respectively. In addition, there are some biases between different SSM datasets due to differences in spatial resolution and derived methods. Specifically, the SMAP records a lower minimum SSM value at the Windy_Gap site and a higher SSM maximum at the DELVALLE site compared with the Crop-CASMA and STF_SSM datasets.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1135">Temporal variations of daily surface soil moisture (SSM) from the SMAP L4 (blue), Crop-CASMA (black), STF_SSM (red), and in situ observation data (dark yellow) at four different sites. <bold>(a)</bold> Windy_Gap site in the CW3E network. <bold>(b)</bold> CENT site in the MESONET network. <bold>(c)</bold> DELVALLE site in the PBO_H2O network. <bold>(d)</bold> LCRA_4 site in the TxSON network.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f06.png"/>

        </fig>

<table-wrap id="T2" orientation="landscape"><label>Table 2</label><caption><p id="d2e1159">Accuracy of the daily surface soil moisture (SSM) from the SMAP L4, the Crop-CASMA, and the STF_SSM datasets. Values in bold indicate the dataset with the best performance for each statistic in each row. Underlined values indicate second best.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="16">
     <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" colsep="1"/>
     <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" 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:colspec colnum="15" colname="col15" align="right"/>
     <oasis:colspec colnum="16" colname="col16" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col6" align="center" colsep="1">SMAP L4 SSM (9 km) </oasis:entry>
         <oasis:entry rowsep="1" namest="col7" nameend="col11" align="center" colsep="1">Crop-CASMA SSM (1 km) </oasis:entry>
         <oasis:entry rowsep="1" namest="col12" nameend="col16" align="center">STF_SSM (1 km) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CC</oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
         <oasis:entry colname="col4">Bias</oasis:entry>
         <oasis:entry colname="col5">ubRMSE</oasis:entry>
         <oasis:entry colname="col6">KGE</oasis:entry>
         <oasis:entry colname="col7">CC</oasis:entry>
         <oasis:entry colname="col8">RMSE</oasis:entry>
         <oasis:entry colname="col9">Bias</oasis:entry>
         <oasis:entry colname="col10">ubRMSE</oasis:entry>
         <oasis:entry colname="col11">KGE</oasis:entry>
         <oasis:entry colname="col12">CC</oasis:entry>
         <oasis:entry colname="col13">RMSE</oasis:entry>
         <oasis:entry colname="col14">Bias</oasis:entry>
         <oasis:entry colname="col15">ubRMSE</oasis:entry>
         <oasis:entry colname="col16">KGE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col4">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col5">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col9">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col10">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col14">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col15">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col16"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">ARM</oasis:entry>
         <oasis:entry colname="col2"><bold>0.752</bold></oasis:entry>
         <oasis:entry colname="col3">0.089</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.058</bold></oasis:entry>
         <oasis:entry colname="col6">0.538</oasis:entry>
         <oasis:entry colname="col7"><underline>0.712</underline></oasis:entry>
         <oasis:entry colname="col8"><underline>0.086</underline></oasis:entry>
         <oasis:entry colname="col9">0.030</oasis:entry>
         <oasis:entry colname="col10">0.069</oasis:entry>
         <oasis:entry colname="col11"><underline>0.589</underline></oasis:entry>
         <oasis:entry colname="col12">0.710</oasis:entry>
         <oasis:entry colname="col13"><bold>0.078</bold></oasis:entry>
         <oasis:entry colname="col14"><underline>0.023</underline></oasis:entry>
         <oasis:entry colname="col15"><underline>0.062</underline></oasis:entry>
         <oasis:entry colname="col16"><bold>0.595</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CW3E</oasis:entry>
         <oasis:entry colname="col2"><bold>0.859</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.070</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.012</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.042</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.408</bold></oasis:entry>
         <oasis:entry colname="col7">0.531</oasis:entry>
         <oasis:entry colname="col8">0.111</oasis:entry>
         <oasis:entry colname="col9"><underline>
                      <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.046</mml:mn></mml:mrow></mml:math></inline-formula>
                    </underline></oasis:entry>
         <oasis:entry colname="col10">0.078</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.058</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12"><underline>0.818</underline></oasis:entry>
         <oasis:entry colname="col13"><underline>0.093</underline></oasis:entry>
         <oasis:entry colname="col14"><inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.053</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col15"><underline>0.047</underline></oasis:entry>
         <oasis:entry colname="col16"><underline>0.181</underline></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FLUXNET-</oasis:entry>
         <oasis:entry colname="col2"><bold>0.925</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.055</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.012</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.051</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.758</bold></oasis:entry>
         <oasis:entry colname="col7">0.875</oasis:entry>
         <oasis:entry colname="col8"><underline>0.069</underline></oasis:entry>
         <oasis:entry colname="col9"><underline>
                      <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.028</mml:mn></mml:mrow></mml:math></inline-formula>
                    </underline></oasis:entry>
         <oasis:entry colname="col10">0.062</oasis:entry>
         <oasis:entry colname="col11"><underline>0.740</underline></oasis:entry>
         <oasis:entry colname="col12"><underline>0.892</underline></oasis:entry>
         <oasis:entry colname="col13">0.070</oasis:entry>
         <oasis:entry colname="col14"><inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.034</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col15"><underline>0.061</underline></oasis:entry>
         <oasis:entry colname="col16">0.645</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AMERIFLUX</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
         <oasis:entry colname="col14"/>
         <oasis:entry colname="col15"/>
         <oasis:entry colname="col16"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MESONET</oasis:entry>
         <oasis:entry colname="col2"><bold>0.721</bold></oasis:entry>
         <oasis:entry colname="col3"><underline>0.096</underline></oasis:entry>
         <oasis:entry colname="col4"><underline>0.042</underline></oasis:entry>
         <oasis:entry colname="col5"><underline>0.064</underline></oasis:entry>
         <oasis:entry colname="col6"><underline>0.509</underline></oasis:entry>
         <oasis:entry colname="col7">0.633</oasis:entry>
         <oasis:entry colname="col8">0.102</oasis:entry>
         <oasis:entry colname="col9">0.046</oasis:entry>
         <oasis:entry colname="col10">0.077</oasis:entry>
         <oasis:entry colname="col11">0.507</oasis:entry>
         <oasis:entry colname="col12"><underline>0.710</underline></oasis:entry>
         <oasis:entry colname="col13"><bold>0.089</bold></oasis:entry>
         <oasis:entry colname="col14"><bold>0.035</bold></oasis:entry>
         <oasis:entry colname="col15"><bold>0.064</bold></oasis:entry>
         <oasis:entry colname="col16"><bold>0.525</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PBO_H2O</oasis:entry>
         <oasis:entry colname="col2"><bold>0.724</bold></oasis:entry>
         <oasis:entry colname="col3"><underline>0.063</underline></oasis:entry>
         <oasis:entry colname="col4"><bold>0.002</bold></oasis:entry>
         <oasis:entry colname="col5"><underline>0.050</underline></oasis:entry>
         <oasis:entry colname="col6"><underline>0.415</underline></oasis:entry>
         <oasis:entry colname="col7">0.614</oasis:entry>
         <oasis:entry colname="col8">0.066</oasis:entry>
         <oasis:entry colname="col9">0.020</oasis:entry>
         <oasis:entry colname="col10">0.055</oasis:entry>
         <oasis:entry colname="col11">0.404</oasis:entry>
         <oasis:entry colname="col12"><underline>0.704</underline></oasis:entry>
         <oasis:entry colname="col13"><bold>0.061</bold></oasis:entry>
         <oasis:entry colname="col14"><underline>0.018</underline></oasis:entry>
         <oasis:entry colname="col15"><bold>0.050</bold></oasis:entry>
         <oasis:entry colname="col16"><bold>0.445</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SCAN</oasis:entry>
         <oasis:entry colname="col2"><bold>0.660</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.087</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.012</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.056</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.191</bold></oasis:entry>
         <oasis:entry colname="col7">0.470</oasis:entry>
         <oasis:entry colname="col8">0.102</oasis:entry>
         <oasis:entry colname="col9"><underline>
                      <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.012</mml:mn></mml:mrow></mml:math></inline-formula>
                    </underline></oasis:entry>
         <oasis:entry colname="col10">0.078</oasis:entry>
         <oasis:entry colname="col11">0.007</oasis:entry>
         <oasis:entry colname="col12"><underline>0.621</underline></oasis:entry>
         <oasis:entry colname="col13"><underline>0.089</underline></oasis:entry>
         <oasis:entry colname="col14"><inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.019</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col15"><underline>0.057</underline></oasis:entry>
         <oasis:entry colname="col16"><underline>0.155</underline></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SNOTEL</oasis:entry>
         <oasis:entry colname="col2"><bold>0.622</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.102</bold></oasis:entry>
         <oasis:entry colname="col4"><bold>0.027</bold></oasis:entry>
         <oasis:entry colname="col5"><bold>0.074</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.254</bold></oasis:entry>
         <oasis:entry colname="col7">0.335</oasis:entry>
         <oasis:entry colname="col8">0.120</oasis:entry>
         <oasis:entry colname="col9">0.036</oasis:entry>
         <oasis:entry colname="col10">0.093</oasis:entry>
         <oasis:entry colname="col11">0.091</oasis:entry>
         <oasis:entry colname="col12"><underline>0.561</underline></oasis:entry>
         <oasis:entry colname="col13"><underline>0.107</underline></oasis:entry>
         <oasis:entry colname="col14"><underline>0.031</underline></oasis:entry>
         <oasis:entry colname="col15"><underline>0.078</underline></oasis:entry>
         <oasis:entry colname="col16"><underline>0.202</underline></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TxSON</oasis:entry>
         <oasis:entry colname="col2"><bold>0.771</bold></oasis:entry>
         <oasis:entry colname="col3">0.085</oasis:entry>
         <oasis:entry colname="col4"><underline>
                      <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.019</mml:mn></mml:mrow></mml:math></inline-formula>
                    </underline></oasis:entry>
         <oasis:entry colname="col5">0.045</oasis:entry>
         <oasis:entry colname="col6"><underline>0.361</underline></oasis:entry>
         <oasis:entry colname="col7">0.598</oasis:entry>
         <oasis:entry colname="col8"><underline>0.079</underline></oasis:entry>
         <oasis:entry colname="col9">0.025</oasis:entry>
         <oasis:entry colname="col10">0.059</oasis:entry>
         <oasis:entry colname="col11">0.340</oasis:entry>
         <oasis:entry colname="col12"><underline>0.751</underline></oasis:entry>
         <oasis:entry colname="col13"><bold>0.065</bold></oasis:entry>
         <oasis:entry colname="col14"><bold>0.018</bold></oasis:entry>
         <oasis:entry colname="col15"><bold>0.043</bold></oasis:entry>
         <oasis:entry colname="col16"><bold>0.521</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">USCRN</oasis:entry>
         <oasis:entry colname="col2"><bold>0.709</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.084</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.017</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.052</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.357</bold></oasis:entry>
         <oasis:entry colname="col7">0.488</oasis:entry>
         <oasis:entry colname="col8">0.109</oasis:entry>
         <oasis:entry colname="col9"><underline>
                      <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.025</mml:mn></mml:mrow></mml:math></inline-formula>
                    </underline></oasis:entry>
         <oasis:entry colname="col10">0.081</oasis:entry>
         <oasis:entry colname="col11">0.166</oasis:entry>
         <oasis:entry colname="col12"><underline>0.675</underline></oasis:entry>
         <oasis:entry colname="col13"><underline>0.097</underline></oasis:entry>
         <oasis:entry colname="col14"><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.038</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col15"><underline>0.054</underline></oasis:entry>
         <oasis:entry colname="col16"><underline>0.282</underline></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean</oasis:entry>
         <oasis:entry colname="col2"><bold>0.749</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.081</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.055</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.421</bold></oasis:entry>
         <oasis:entry colname="col7">0.584</oasis:entry>
         <oasis:entry colname="col8">0.094</oasis:entry>
         <oasis:entry colname="col9">0.005</oasis:entry>
         <oasis:entry colname="col10">0.072</oasis:entry>
         <oasis:entry colname="col11">0.310</oasis:entry>
         <oasis:entry colname="col12"><underline>0.716</underline></oasis:entry>
         <oasis:entry colname="col13"><underline>0.083</underline></oasis:entry>
         <oasis:entry colname="col14"><underline>
                      <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.002</mml:mn></mml:mrow></mml:math></inline-formula>
                    </underline></oasis:entry>
         <oasis:entry colname="col15"><underline>0.057</underline></oasis:entry>
         <oasis:entry colname="col16"><underline>0.395</underline></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2320">At the network level, the results of the accuracy assessment (Table 2) show that the 9 km SMAP L4 SSM product has the greatest accuracy among the three datasets. At a spatial resolution of 1 km, the generated STF_SSM dataset outperforms the Crop-CASMA SSM dataset. Specifically, the mean CC for the SMAP L4 SSM product is 0.749, which is 0.033 and 0.165 higher than the STF_SSM and Crop-CASMA datasets, respectively. The RMSE and ubRMSE for the SMAP L4 SSM dataset are 0.081 and 0.055 m<sup>3</sup> m<sup>−3</sup> and are the smallest among the three datasets. The STF_SSM dataset has RMSE and ubRMSE values of 0.083 and 0.057 m<sup>3</sup> m<sup>−3</sup> and so are slightly higher than those for the SMAP L4 SSM product but smaller than those for the Crop-CASMA dataset. The Bias for the SMAP L4 SSM product (with a Bias of <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> m<sup>3</sup> m<sup>−3</sup>) and the STF_SSM dataset (with a Bias of <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.002</mml:mn></mml:mrow></mml:math></inline-formula> m<sup>3</sup> m<sup>−3</sup>) are closer to SSM observation data than that of the Crop-CASMA SSM dataset. The STF_SSM dataset has a mean KGE of 0.395, which is 0.026 smaller than that of the SMAP L4 but 0.185 larger than that of the Crop-CASMA dataset. At the three SSM observation networks of MESONET, PBO_H2O, and TxSON, the STF_SSM dataset demonstrates better performance compared to the other datasets. However, for the other networks, the SMAP L4 SSM product outperforms the other datasets in terms of accuracy.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Validation based on 3 h soil moisture observations</title>
      <p id="d2e2437">The 9 km SMAP L4 product and the 1 km STF_SSM dataset were compared with the 3 h in situ data from seven networks. We randomly selected four sites (Omega site in the ARM network, Tonzi_Ranch site in the FLUXNET-AMERIFLUX network, Bragg_Farm site in the SCAN network, and Medora_7_E site in the USCRN network) to exhibit the SSM comparison (Fig. 7). The temporal variations of SSM time series from the in situ data, SMAP L4 product, and STF_SSM dataset are similar to each other; e.g., the CC values of the SMAP L4 and STF_SSM datasets in Fig. 7a are 0.749 and 0.745 by referring to the in situ data, revealing that both of the SSM datasets can well capture the dynamics of SSM at the 3 h scale. Moreover, the difference between the 9 km SMAP L4 product and 1 km STF_SSM dataset is small, indicating that the downscaling of our STF_SSM dataset does not introduce significant errors in SMAP L4 SSM. Therefore, our STF_SSM dataset can be regarded as a reliable high-resolution version of the SMAP L4 product.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2442">Temporal variations of 3 h surface soil moisture (SSM) from SMAP L4 (blue), STF_SSM (red), and in situ observation data (dark yellow) at four different sites. <bold>(a)</bold> Omega site in the ARM network. <bold>(b)</bold> Tonzi_Ranch site in the FLUXNET-AMERIFLUX network. <bold>(c)</bold> Bragg_Farm site in the SCAN network. <bold>(d)</bold> Medora_7_E site in the USCRN network.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f07.png"/>

        </fig>

      <p id="d2e2463">The quantitative statistical metrics based on the 3 h in situ data are listed in Table 3. The results indicate that the 9 km SMAP L4 SSM product has better accuracy than the 1 km STF_SSM dataset. Specifically, the mean CC and KGE for the SMAP L4 SSM product are 0.728 and 0.414, which are values 0.039 and 0.028 higher than those for the STF_SSM dataset. Furthermore, the SMAP L4 SSM product has a mean RMSE and ubRMSE of 0.086 and 0.059 m<sup>3</sup> m<sup>−3</sup>. Additionally, the Bias of the SMAP L4 SSM product is <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> m<sup>3</sup> m<sup>−3</sup>, which is closer to the SSM observation data than that of the STF_SSM dataset. For specific networks, we found that the CC and KGE of the SMAP L4 SSM dataset at the FLUXNET-AMERIFLUX network are 0.920 and 0.889 and therefore are the highest among the seven networks. On the other hand, the STF_SSM dataset provides an RMSE of 0.081 and 0.067 m<sup>3</sup> m<sup>−3</sup> for the ARM and TxSON networks, which is 0.009 and 0.019 m<sup>3</sup> m<sup>−3</sup> lower than the SMAP L4 SSM dataset, respectively.</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2565">Accuracy of the 3 h surface soil moisture (SSM) from the SMAP L4 SSM product and the STF_SSM datasets. Values in bold indicate the dataset with better performance for each statistic in each row.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <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" colsep="1"/>
     <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:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col6" align="center" colsep="1">SMAP L4 SSM (9 km) </oasis:entry>
         <oasis:entry rowsep="1" namest="col7" nameend="col11" align="center">STF_SSM (1 km) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CC</oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
         <oasis:entry colname="col4">Bias</oasis:entry>
         <oasis:entry colname="col5">ubRMSE</oasis:entry>
         <oasis:entry colname="col6">KGE</oasis:entry>
         <oasis:entry colname="col7">CC</oasis:entry>
         <oasis:entry colname="col8">RMSE</oasis:entry>
         <oasis:entry colname="col9">Bias</oasis:entry>
         <oasis:entry colname="col10">ubRMSE</oasis:entry>
         <oasis:entry colname="col11">KGE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col4">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col5">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col9">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col10">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col11"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">ARM</oasis:entry>
         <oasis:entry colname="col2"><bold>0.744</bold></oasis:entry>
         <oasis:entry colname="col3">0.090</oasis:entry>
         <oasis:entry colname="col4"><bold>0.001</bold></oasis:entry>
         <oasis:entry colname="col5"><bold>0.060</bold></oasis:entry>
         <oasis:entry colname="col6">0.544</oasis:entry>
         <oasis:entry colname="col7">0.696</oasis:entry>
         <oasis:entry colname="col8"><bold>0.081</bold></oasis:entry>
         <oasis:entry colname="col9">0.023</oasis:entry>
         <oasis:entry colname="col10">0.065</oasis:entry>
         <oasis:entry colname="col11"><bold>0.593</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CW3E</oasis:entry>
         <oasis:entry colname="col2"><bold>0.818</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.074</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.008</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.046</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.398</bold></oasis:entry>
         <oasis:entry colname="col7">0.777</oasis:entry>
         <oasis:entry colname="col8">0.097</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.047</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.051</oasis:entry>
         <oasis:entry colname="col11">0.216</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FLUXNET-AMERIFLUX</oasis:entry>
         <oasis:entry colname="col2"><bold>0.920</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.060</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.009</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.055</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.746</bold></oasis:entry>
         <oasis:entry colname="col7">0.889</oasis:entry>
         <oasis:entry colname="col8">0.073</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.030</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.066</oasis:entry>
         <oasis:entry colname="col11">0.645</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SCAN</oasis:entry>
         <oasis:entry colname="col2"><bold>0.628</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.097</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.011</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.065</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.305</bold></oasis:entry>
         <oasis:entry colname="col7">0.582</oasis:entry>
         <oasis:entry colname="col8">0.097</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.016</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.066</oasis:entry>
         <oasis:entry colname="col11">0.304</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SNOTEL</oasis:entry>
         <oasis:entry colname="col2"><bold>0.512</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.111</bold></oasis:entry>
         <oasis:entry colname="col4"><bold>0.021</bold></oasis:entry>
         <oasis:entry colname="col5"><bold>0.084</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.189</bold></oasis:entry>
         <oasis:entry colname="col7">0.457</oasis:entry>
         <oasis:entry colname="col8">0.114</oasis:entry>
         <oasis:entry colname="col9">0.033</oasis:entry>
         <oasis:entry colname="col10">0.086</oasis:entry>
         <oasis:entry colname="col11">0.136</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TxSON</oasis:entry>
         <oasis:entry colname="col2"><bold>0.769</bold></oasis:entry>
         <oasis:entry colname="col3">0.086</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.018</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.047</oasis:entry>
         <oasis:entry colname="col6">0.358</oasis:entry>
         <oasis:entry colname="col7">0.750</oasis:entry>
         <oasis:entry colname="col8"><bold>0.067</bold></oasis:entry>
         <oasis:entry colname="col9">0.020</oasis:entry>
         <oasis:entry colname="col10"><bold>0.045</bold></oasis:entry>
         <oasis:entry colname="col11"><bold>0.514</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">USCRN</oasis:entry>
         <oasis:entry colname="col2"><bold>0.708</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.088</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.012</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.055</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.357</bold></oasis:entry>
         <oasis:entry colname="col7">0.674</oasis:entry>
         <oasis:entry colname="col8">0.097</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.032</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.057</oasis:entry>
         <oasis:entry colname="col11">0.295</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean</oasis:entry>
         <oasis:entry colname="col2"><bold>0.728</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.086</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo mathvariant="bold">-</mml:mo><mml:mn mathvariant="bold">0.005</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><bold>0.059</bold></oasis:entry>
         <oasis:entry colname="col6"><bold>0.414</bold></oasis:entry>
         <oasis:entry colname="col7">0.689</oasis:entry>
         <oasis:entry colname="col8">0.090</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.007</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">0.062</oasis:entry>
         <oasis:entry colname="col11">0.386</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>SSM data accuracy across land cover types</title>
      <p id="d2e3235">Generally, the accuracy of satellite-derived SSM datasets varies between land cover types because the penetration capacity of remote sensing signals can be affected by land cover types. Therefore, it is necessary to assess the performance of the SSM datasets under different land cover types. According to the NLCD land cover product from 2015 to 2023, we separated the CONUS into nine types, that is, developed, barren, forest, shrub, grassland, pasture, crops, wetlands, and changed. The former eight types are the existing categories (e.g., shrub and grassland) or composite categories (e.g., forest is composed of deciduous, evergreen, and mixed forest) in the NLCD product. The changed category refers to the areas where land use has changed between 2015 and 2023.</p>
      <p id="d2e3238">At the 3 h scale, it is seen from Fig. 8a and b that the SMAP L4 product has slightly better performance than the generated STF_SSM dataset for most land cover types. As shown in Table 4, the mean CC and RMSE values of the SMAP L4 product are 0.611 and 0.107 and are 0.042 and 0.002 better than those of the STF_SSM dataset, respectively. However, both SSM datasets exhibit lower accuracy in wetlands compared to other land cover types. Meanwhile, the SSM accuracy has a larger variation across forest pixels, shrub pixels, and developed area pixels than the other land cover types. This is primarily because the topsoil in these land cover types is covered by woody plants and human-made features, which influence SSM observations and lead to a loss of accuracy. The highest accuracy is observed in barren (with an RMSE of 0.083 m<sup>3</sup> m<sup>−3</sup> for the STF_SSM dataset) and grassland areas (with an RMSE of 0.083 m<sup>3</sup> m<sup>−3</sup> for the SMAP L4 product) as these types tend to have less cover. The land cover changes observed in the changed category also provide satisfactory accuracy. This is because approximately 50 % of the land cover change samples consist of barren or grassland areas, which contribute to higher SSM accuracy. These patterns are also reflected in the daily SSM datasets (Fig. 8c and d). Moreover, the Crop-CASMA dataset (with mean CC and RMSE values of 0.440 and 0.111, respectively) has a lower performance than the STF_SSM dataset across all land use covers, highlighting the reliability of the generated STF_SSM dataset at a 1 km spatial resolution.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3285">Accuracy of the surface soil moisture (SSM) datasets under different land cover types. The “changed” type refers to areas where land cover type changed between 2015 and 2023. Panels <bold>(a)</bold> and <bold>(b)</bold> are the correlation coefficient (CC) and the root mean square error (RMSE) of SSM datasets at the 3 h scale. Panels <bold>(c)</bold> and <bold>(d)</bold> are the CC and RMSE of SSM datasets at the daily scale. For each land cover type, the number of validation sites is 45 (developed), 7 (barren), 190 (forest), 211 (shrub), 148 (grassland), 97 (pasture), 69 (crops), 10 (wetlands), and 49 (changed), respectively.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f08.png"/>

        </fig>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e3310">Mean correlation coefficient (CC) and root mean square error (RMSE) of surface soil moisture (SSM) datasets under different land cover types.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right" colsep="1"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Land cover type</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center" colsep="1">3 h </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col11" align="center">Daily </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(number of validation sites)</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">SMAP L4 </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">STF_SSM </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center" colsep="1">SMAP L4 </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center" colsep="1">Crop-CASMA </oasis:entry>
         <oasis:entry rowsep="1" namest="col10" nameend="col11" align="center">STF_SSM </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CC</oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
         <oasis:entry colname="col4">CC</oasis:entry>
         <oasis:entry colname="col5">RMSE</oasis:entry>
         <oasis:entry colname="col6">CC</oasis:entry>
         <oasis:entry colname="col7">RMSE</oasis:entry>
         <oasis:entry colname="col8">CC</oasis:entry>
         <oasis:entry colname="col9">RMSE</oasis:entry>
         <oasis:entry colname="col10">CC</oasis:entry>
         <oasis:entry colname="col11">RMSE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Developed (45)</oasis:entry>
         <oasis:entry colname="col2">0.554</oasis:entry>
         <oasis:entry colname="col3">0.117</oasis:entry>
         <oasis:entry colname="col4">0.530</oasis:entry>
         <oasis:entry colname="col5">0.135</oasis:entry>
         <oasis:entry colname="col6">0.653</oasis:entry>
         <oasis:entry colname="col7">0.091</oasis:entry>
         <oasis:entry colname="col8">0.480</oasis:entry>
         <oasis:entry colname="col9">0.114</oasis:entry>
         <oasis:entry colname="col10">0.640</oasis:entry>
         <oasis:entry colname="col11">0.104</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Barren (7)</oasis:entry>
         <oasis:entry colname="col2">0.591</oasis:entry>
         <oasis:entry colname="col3">0.105</oasis:entry>
         <oasis:entry colname="col4">0.564</oasis:entry>
         <oasis:entry colname="col5">0.083</oasis:entry>
         <oasis:entry colname="col6">0.601</oasis:entry>
         <oasis:entry colname="col7">0.103</oasis:entry>
         <oasis:entry colname="col8">0.208</oasis:entry>
         <oasis:entry colname="col9">0.117</oasis:entry>
         <oasis:entry colname="col10">0.576</oasis:entry>
         <oasis:entry colname="col11">0.092</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Forest (190)</oasis:entry>
         <oasis:entry colname="col2">0.530</oasis:entry>
         <oasis:entry colname="col3">0.151</oasis:entry>
         <oasis:entry colname="col4">0.472</oasis:entry>
         <oasis:entry colname="col5">0.156</oasis:entry>
         <oasis:entry colname="col6">0.634</oasis:entry>
         <oasis:entry colname="col7">0.104</oasis:entry>
         <oasis:entry colname="col8">0.327</oasis:entry>
         <oasis:entry colname="col9">0.123</oasis:entry>
         <oasis:entry colname="col10">0.570</oasis:entry>
         <oasis:entry colname="col11">0.110</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shrub (211)</oasis:entry>
         <oasis:entry colname="col2">0.615</oasis:entry>
         <oasis:entry colname="col3">0.091</oasis:entry>
         <oasis:entry colname="col4">0.562</oasis:entry>
         <oasis:entry colname="col5">0.089</oasis:entry>
         <oasis:entry colname="col6">0.669</oasis:entry>
         <oasis:entry colname="col7">0.078</oasis:entry>
         <oasis:entry colname="col8">0.481</oasis:entry>
         <oasis:entry colname="col9">0.083</oasis:entry>
         <oasis:entry colname="col10">0.627</oasis:entry>
         <oasis:entry colname="col11">0.076</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Grassland (148)</oasis:entry>
         <oasis:entry colname="col2">0.691</oasis:entry>
         <oasis:entry colname="col3">0.083</oasis:entry>
         <oasis:entry colname="col4">0.662</oasis:entry>
         <oasis:entry colname="col5">0.089</oasis:entry>
         <oasis:entry colname="col6">0.753</oasis:entry>
         <oasis:entry colname="col7">0.083</oasis:entry>
         <oasis:entry colname="col8">0.669</oasis:entry>
         <oasis:entry colname="col9">0.090</oasis:entry>
         <oasis:entry colname="col10">0.734</oasis:entry>
         <oasis:entry colname="col11">0.082</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pasture (97)</oasis:entry>
         <oasis:entry colname="col2">0.680</oasis:entry>
         <oasis:entry colname="col3">0.101</oasis:entry>
         <oasis:entry colname="col4">0.639</oasis:entry>
         <oasis:entry colname="col5">0.107</oasis:entry>
         <oasis:entry colname="col6">0.704</oasis:entry>
         <oasis:entry colname="col7">0.091</oasis:entry>
         <oasis:entry colname="col8">0.517</oasis:entry>
         <oasis:entry colname="col9">0.112</oasis:entry>
         <oasis:entry colname="col10">0.678</oasis:entry>
         <oasis:entry colname="col11">0.093</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Crops (69)</oasis:entry>
         <oasis:entry colname="col2">0.626</oasis:entry>
         <oasis:entry colname="col3">0.102</oasis:entry>
         <oasis:entry colname="col4">0.585</oasis:entry>
         <oasis:entry colname="col5">0.099</oasis:entry>
         <oasis:entry colname="col6">0.654</oasis:entry>
         <oasis:entry colname="col7">0.097</oasis:entry>
         <oasis:entry colname="col8">0.494</oasis:entry>
         <oasis:entry colname="col9">0.108</oasis:entry>
         <oasis:entry colname="col10">0.623</oasis:entry>
         <oasis:entry colname="col11">0.095</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wetlands (10)</oasis:entry>
         <oasis:entry colname="col2">0.532</oasis:entry>
         <oasis:entry colname="col3">0.138</oasis:entry>
         <oasis:entry colname="col4">0.463</oasis:entry>
         <oasis:entry colname="col5">0.138</oasis:entry>
         <oasis:entry colname="col6">0.551</oasis:entry>
         <oasis:entry colname="col7">0.124</oasis:entry>
         <oasis:entry colname="col8">0.279</oasis:entry>
         <oasis:entry colname="col9">0.145</oasis:entry>
         <oasis:entry colname="col10">0.498</oasis:entry>
         <oasis:entry colname="col11">0.134</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Changed (49)</oasis:entry>
         <oasis:entry colname="col2">0.677</oasis:entry>
         <oasis:entry colname="col3">0.084</oasis:entry>
         <oasis:entry colname="col4">0.639</oasis:entry>
         <oasis:entry colname="col5">0.094</oasis:entry>
         <oasis:entry colname="col6">0.730</oasis:entry>
         <oasis:entry colname="col7">0.078</oasis:entry>
         <oasis:entry colname="col8">0.505</oasis:entry>
         <oasis:entry colname="col9">0.104</oasis:entry>
         <oasis:entry colname="col10">0.693</oasis:entry>
         <oasis:entry colname="col11">0.088</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean</oasis:entry>
         <oasis:entry colname="col2">0.611</oasis:entry>
         <oasis:entry colname="col3">0.108</oasis:entry>
         <oasis:entry colname="col4">0.569</oasis:entry>
         <oasis:entry colname="col5">0.110</oasis:entry>
         <oasis:entry colname="col6">0.661</oasis:entry>
         <oasis:entry colname="col7">0.094</oasis:entry>
         <oasis:entry colname="col8">0.440</oasis:entry>
         <oasis:entry colname="col9">0.111</oasis:entry>
         <oasis:entry colname="col10">0.627</oasis:entry>
         <oasis:entry colname="col11">0.097</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>SSM data accuracy across topographic conditions</title>
      <p id="d2e3934">As a significant soil-forming factor, terrain is one of the determinants of SSM variations. Particularly, SSM could have strong spatial variability in areas with complex topographic conditions. We analyzed the accuracy (including CC and RMSE) of the 1 km Crop-CASMA and STF_SSM datasets under different topographic conditions. As shown in Fig. 9a and b, both the Crop-CASMA and STF_SSM datasets show a decrease in the CC value with increasing elevation. However, the STF_SSM dataset shows a slower decline in accuracy (with a slope of <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.055</mml:mn></mml:mrow></mml:math></inline-formula>) compared to the Crop-CASMA dataset (with a slope of <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.100</mml:mn></mml:mrow></mml:math></inline-formula>). Under complex terrain conditions (i.e., larger slope), the accuracy of both SSM datasets is reduced. It can be seen from Fig. 9c and d that the CC of the Crop-CASMA dataset decreases more sharply as the slope increases (with a slope of <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.023</mml:mn></mml:mrow></mml:math></inline-formula>), while the CC in the generated STF_SSM dataset declines more gradually (with a slope of <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.011</mml:mn></mml:mrow></mml:math></inline-formula>). Likewise, Fig. 9e and f show that the RMSE values of both SSM datasets increase with elevation. According to the intercept, the STF_SSM dataset has a slightly greater RMSE than the Crop_CASMA dataset, especially at high altitudes. Meanwhile, with an increase in slope, the STF_SSM dataset has a slower rise in RMSE values than the Crop-CASMA dataset (Fig. 9g and h). This suggests that the STF_SSM dataset is more reliable than the Crop-CASMA dataset in complex terrain conditions.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3979">Accuracy of the estimated surface soil moisture (SSM) from the 1 km Crop-CASMA and generated STF_SSM datasets along changing topographic conditions, denoted by elevation and slope. Panels <bold>(a)</bold>, <bold>(c)</bold>, <bold>(e)</bold>, and <bold>(g)</bold> refer to the 1 km Crop-CASMA SSM dataset. Panels <bold>(b)</bold>, <bold>(d)</bold>, <bold>(f)</bold>, and <bold>(h)</bold> are the generated STF_SSM dataset.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f09.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Implications</title>
      <p id="d2e4029">Ma et al. (2021) adopted the daily 25 km, 10 d composited CCI SSM time series to define agricultural drought events. However, this 10 d composition approach may not capture the rapidly developed drought phenomena (e.g., flash drought). In contrast, the generated 3 h, 1 km STF_SSM dataset has advantages over the CCI dataset because the STF_SSM dataset provides more detailed and continuous SSM information in both the temporal and spatial dimensions. This implies that the STF_SSM dataset can detect both long-term and flash drought events at a finer scale.</p>
      <p id="d2e4032">Figure 10 exhibits the SSM variation under four drought events in Oklahoma (January to February 2018), Alabama (May to December 2016), California (January to December 2020), and Nevada (January to December 2020) (U.S. Drought Monitor, 2024). The SSM in our dataset shows a clear response to the drought event. As shown in Fig. 10a, during the Oklahoma's drought in early 2018 (Shephard et al., 2021), SSM is about 0.08 m<sup>3</sup> m<sup>−3</sup> lower than the multi-year average value from 2015 to 2023. The drought was gradually alleviated in February. Alabama's drought in 2016 began around May and continued into December (Fig. 10b) (Noel et al., 2020) as the SSM value began to deviate from the average in May and remained in a lower range. In 2020, California and Nevada suffered extreme and long-term droughts (Williams et al., 2022); Fig. 10c and d show that SSM values in the two states were generally lower than the average and continued for the entire year.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e4058">Surface soil moisture (SSM) variations under drought events. Black lines refer to the average SSM values calculated from 2015 to 2023. Red lines represent the SSM values for the corresponding year. <bold>(a)</bold> The drought in Oklahoma in 2018. <bold>(b)</bold> The drought in Alabama in 2016. <bold>(c)</bold> The drought in California in 2020. <bold>(b)</bold> The drought in Nevada in 2020.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f10.png"/>

        </fig>

      <p id="d2e4080">In addition to droughts, SSM is also sensitive to flooding. When a flooding event begins, the SSM value is usually rapidly increased over a short period. To highlight the advantages of the developed 3 h SSM dataset, we portrayed the SSM variation under two flooding events. Figure 11a shows the flooding in 2015 in Williamsburg, South Carolina, because of extreme precipitation from 1 to 5 October 2015. It can be seen that the SSM value in this region began to increase dramatically from the evening of 1 to 2 October 2015 and remained at a high level until 5 October 2015. Figure 11b presents the flooding in 2017 in Jefferson, Texas, due to Hurricane Harvey. We found that the SSM value had started to rise on the evening of 24 August 2017 before Hurricane Harvey reached landfall fully (25 August 2017) and peaked on 27 August 2017.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e4085">Surface soil moisture (SSM) variations under flood events. Black lines represent the average SSM values calculated from 2015 to 2023. Red lines are the SSM values for the corresponding year. <bold>(a)</bold> The flood in Williamsburg, South Carolina, in 2015. <bold>(b)</bold> The flood in Jefferson, Texas, in 2017.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/17/3391/2025/essd-17-3391-2025-f11.png"/>

        </fig>

      <p id="d2e4100">It is clear from the mentioned analysis that SSM information is closely linked to drought and flooding. This suggests that SSM can be applied to identify these events and quantify their severity. Thus, the developed STF_SSM dataset has great potential for application, especially in agriculture. For instance, near-real-time crop conditions could be observed directly by dynamically monitoring SSM. It will provide a rational basis for refining irrigation management. In addition, severe drought and flooding affect crop yields, implying that SSM information with fine spatio-temporal resolution also has the potential to play an important role in crop yield estimation.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Accuracy and latency time of updated STF_SSM data</title>
      <p id="d2e4112">Drought monitoring needs real-time or near-real-time soil moisture data and requires high data accuracy and short latency time. Since the strategies of characteristic extraction for training the STF_SSM dataset from 2015 to 2023 depend on the complete SSM time series data over the entire year, it is difficult to directly update the near-real-time data using this strategy. Therefore, we propose three alternative strategies for characteristic extraction to examine on a randomly selected date in 2023 (10 January 2023). This first alternative is using all data in 2022, the second alternative is using available data in 2023 (before 10 January 2023), and the third is using all data in 2022 plus available data in 2023. By referring to the corresponding STF_SSM scenes (predicted using all data in 2023), we found that using available data in 2023 has the greatest performance among the three strategies of characteristic extraction with a mean CC and RMSE of 0.999 and 0.006 m<sup>3</sup> m<sup>−3</sup> (Table 5). Meanwhile, the CC and KGE of using all data in 2022 plus available data in 2023 are 0.964 and 0.947 and so are 0.004 and 0.009 higher than those using data only in 2022. This means that using characteristics extracted from temporally adjacent data in 2023 improves fusion accuracy.</p>
      <p id="d2e4136">Due to a data-driven approach to production, real-time updates of the STF_SSM data have unavoidable latency time. This is because the latency time of the STF_SSM dataset depends on that of other auxiliary data. According to the investigation from the official website, the near-real-time SMAP L4 SSM product and Crop-CASMA SSM dataset usually have 3 and 2 d of latency, respectively. Thus, if only available data within the year are adopted to update the STF_SSM data, the latency time of the near-real-time STF_SSM scene is at least 3 d.</p>

<table-wrap id="T5" specific-use="star"><label>Table 5</label><caption><p id="d2e4142">Accuracy of near-real-time STF_SSM data (on 10 January 2023) production using different strategies of characteristic extraction.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="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:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CC</oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
         <oasis:entry colname="col4">Bias</oasis:entry>
         <oasis:entry colname="col5">ubRMSE</oasis:entry>
         <oasis:entry colname="col6">KGE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col4">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col5">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Accuracy using all data in 2022</oasis:entry>
         <oasis:entry colname="col2">0.960</oasis:entry>
         <oasis:entry colname="col3">0.035</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.010</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.033</oasis:entry>
         <oasis:entry colname="col6">0.938</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Accuracy using all data in 2022 plus available data in 2023</oasis:entry>
         <oasis:entry colname="col2">0.964</oasis:entry>
         <oasis:entry colname="col3">0.032</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.008</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.031</oasis:entry>
         <oasis:entry colname="col6">0.947</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Accuracy using available data in 2023</oasis:entry>
         <oasis:entry colname="col2">0.999</oasis:entry>
         <oasis:entry colname="col3">0.006</oasis:entry>
         <oasis:entry colname="col4">0.000</oasis:entry>
         <oasis:entry colname="col5">0.006</oasis:entry>
         <oasis:entry colname="col6">0.992</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Analysis of different fine SSM datasets</title>
      <p id="d2e4362">Currently, some high-resolution SSM datasets have been published and used. We listed six 1 km SSM datasets at a large scale and exhibited the details of these datasets, such as the spatial resolution, temporal resolution, and accuracy, in Table 6. Given the differences in validation methods, spatial and temporal coverages, and statistical metrics, etc., it is difficult to harmonize these datasets to the same standard to quantify accuracy. Therefore, before using the data, it is necessary to further select the more suitable SSM dataset according to the requirements.</p>

<table-wrap id="T6" specific-use="star"><label>Table 6</label><caption><p id="d2e4368">Comparative analysis for six high-resolution SSM datasets. Statistical metrics for accuracy include the root mean square error (RMSE), unbiased root mean square error (ubRMSE), and unbiased root mean square deviation (ubRMSD).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Reference</oasis:entry>
         <oasis:entry colname="col2">Area</oasis:entry>
         <oasis:entry colname="col3">Spatial</oasis:entry>
         <oasis:entry colname="col4">Temporal</oasis:entry>
         <oasis:entry colname="col5">Accuracy</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">resolution</oasis:entry>
         <oasis:entry colname="col4">resolution</oasis:entry>
         <oasis:entry colname="col5">(m<sup>3</sup> m<sup>−3</sup>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">This study</oasis:entry>
         <oasis:entry colname="col2">CONUS</oasis:entry>
         <oasis:entry colname="col3">1 km</oasis:entry>
         <oasis:entry colname="col4">3 h</oasis:entry>
         <oasis:entry colname="col5">ubRMSE <inline-formula><mml:math id="M144" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.057</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vergopolan et al. (2021)</oasis:entry>
         <oasis:entry colname="col2">CONUS</oasis:entry>
         <oasis:entry colname="col3">30 m</oasis:entry>
         <oasis:entry colname="col4">6 h</oasis:entry>
         <oasis:entry colname="col5">RMSE <inline-formula><mml:math id="M145" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.07</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fang et al. (2022)</oasis:entry>
         <oasis:entry colname="col2">Global</oasis:entry>
         <oasis:entry colname="col3">1 km</oasis:entry>
         <oasis:entry colname="col4">daily</oasis:entry>
         <oasis:entry colname="col5">ubRMSE <inline-formula><mml:math id="M146" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.063</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zheng et al. (2023)</oasis:entry>
         <oasis:entry colname="col2">Global</oasis:entry>
         <oasis:entry colname="col3">1 km</oasis:entry>
         <oasis:entry colname="col4">daily</oasis:entry>
         <oasis:entry colname="col5">ubRMSE <inline-formula><mml:math id="M147" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.045</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Han et al. (2023)</oasis:entry>
         <oasis:entry colname="col2">Global</oasis:entry>
         <oasis:entry colname="col3">1 km</oasis:entry>
         <oasis:entry colname="col4">daily</oasis:entry>
         <oasis:entry colname="col5">ubRMSE <inline-formula><mml:math id="M148" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.050</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Song et al. (2022)</oasis:entry>
         <oasis:entry colname="col2">China</oasis:entry>
         <oasis:entry colname="col3">1 km</oasis:entry>
         <oasis:entry colname="col4">daily</oasis:entry>
         <oasis:entry colname="col5">ubRMSD <inline-formula><mml:math id="M149" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.074</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>


</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Uncertainties and future works</title>
      <p id="d2e4609">Although the STF_SSM dataset has good performance in representing the fast changes in soil moisture, two uncertainties in the data generation need to be noted. First, the spatio-temporal fusion model used in this study is a data-driven method which depends on the stable and accurate SMAP L4 SSM product and Crop-CASMA SSM dataset. If either of these datasets stops updating or contains significant errors, the generation and accuracy of the STF_SSM dataset will be impacted. Second, many environmental and ecological variables affect the SSM, such as precipitation, vegetation, temperature, evaporation, and terrain. However, these variables are not fully considered in the STF_SSM production, decreasing the interpretability of the STF_SSM dataset.</p>
      <p id="d2e4612">Currently, geostationary satellites have a large potential to provide hourly and spatially fine auxiliary variables to produce SSM datasets. Fusing the auxiliary variables from the geostationary satellites for the generation of hourly SSM data is an ongoing work. However, the extensive data acquisition and necessary preprocessing steps can significantly increase the time cost of data production without leading to a substantial improvement in accuracy. Thus, balancing data accuracy and generation efficiency is necessary for the downscaling of the SSM dataset in the future. Compared with existing SSM datasets, the generated SSM dataset in this study has advantages in terms of spatio-temporal resolution. It is worthwhile to further explore its potential applications, such as monitoring drought severity and occurrences, quantifying wildfire danger levels, evaluating responses of agriculture and natural ecosystems to soil moisture dynamics, and understanding local and regional hydrological processes.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Code and data availability</title>
      <p id="d2e4626">The STF_SSM dataset is available at <uri>https://doi.org/10.5066/P13CCN69</uri> (Yang et al., 2025a). Moreover, the STF_SSM dataset and generating code are also published at <uri>https://doi.org/10.6084/m9.figshare.28188011</uri> (Yang et al., 2025b).</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e4643">In this study, we develop a spatio-temporal fusion model to generate the first spatially seamless 3 h, 1 km STF_SSM dataset in the CONUS from 2015 to 2023. This dataset integrates the 3 h, 9 km SMAP L4 SSM product from NASA and the daily, 1 km Crop-CASMA SSM dataset from USDA-NASS. The former provided fine temporal resolution, and the latter provided detailed spatial details. To deal with the mismatch between the two datasets in terms of temporal resolution and spatial coverage, the HCTSA-based time series mining method was used to extract spatially seamless characteristics from both SSM time series data for each year. Four characteristics extracted at 1 and 9 km spatial resolutions (minimum, maximum, mean, and median of SSM time series) were employed as inputs of the fusion model. By coupling with each 3 h, 9 km SMAP L4 scene, the downscaled 3 h, 1 km STF_SSM scene was simulated in turn. Data validation at the daily scale showed that the generated 1 km STF_SSM dataset (with a mean CC and ubRMSE of 0.716 and 0.057 m<sup>3</sup> m<sup>−3</sup>) outperforms the 1 km Crop-CASMA SSM dataset (with a mean CC and ubRMSE of 0.584 and 0.072 m<sup>3</sup> m<sup>−3</sup>) when compared to in situ measurements. At the 3 h scale, the accuracy of the 9 km SMAP L4 SSM product (with a mean CC and ubRMSE of 0.728 and 0.059 m<sup>3</sup> m<sup>−3</sup>) is slightly higher than that of the 1 km STF_SSM dataset (with a mean CC and ubRMSE of 0.689 and 0.062 m<sup>3</sup> m<sup>−3</sup>). Additionally, the STF_SSM dataset has a better performance than the Crop-CASMA dataset under complex terrain conditions. Overall, the generated 3 h, 1 km STF_SSM dataset is reliable and has great potential for applications at various spatio-temporal scales. The proposed STF_SSM dataset can be freely acquired from <uri>https://doi.org/10.5066/P13CCN69</uri>  (Yang et al., 2025a).</p>
</sec>

      
      </body>
    <back><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4738">Conceptualization: HY. Data curation: HY, JY, TEO. Formal analysis: HY, JY, MX. Funding acquisition: JY, TEO, MX. Methodology: HY. Software: HY, JY. Resources: HY, JY, TEO, ESK, MX, CBZ. Supervision: JY, TEO, CBZ. Validation: HY, TEO, ESK. Visualization: HY. Writing (original draft preparation): HY. Writing (review and editing): HY, JY, TEO, ESK, MX, CBZ. All authors have reviewed and approved the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4744">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="d2e4753">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="d2e4759">The authors like to thank the NASA NSIDC, USDA-NASS, Global Energy and Water Cycle Experiment (GEWEX), European Space Agency (ESA), Oklahoma Climatological Survey for making the SMAP L4 SSM product, the Crop-CASMA SSM dataset, ISMN data, and in situ data from the freely available Oklahoma Mesonet. The Oklahoma Mesonet is jointly operated by Oklahoma State University and the University of Oklahoma, and continued funding for maintenance of the network is provided by the taxpayers of Oklahoma. Data generation and validation were completed utilizing the High-Performance Computing Center facilities of Oklahoma State University at Stillwater. Meanwhile, the authors are very grateful to the Climate Adaptation Science Center of the US Geological Survey for supporting the release of the dataset.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4764">Haoxuan Yang, Jia Yang, Tyson E. Ochsner, Erik S. Krueger, and Chris B. Zou were supported by the US Geological Survey South Central Climate Adaptation Science Center (grant no. G23AC0454), the Joint Fire Science Program (grant no. 23-2-01-9), the US National Science Foundation Oklahoma EPSCoR S3OK project (grant no. OIA-1946093), and the US National Science Foundation Rural Confluence (grant no. 2316366). Mengyuan Xu was supported by the Shanghai Sailing Program supported by the Science and Technology Commission of Shanghai Municipality grant (no. 24YF2737600).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4770">This paper was edited by Di Tian and reviewed by Chen Zhang and two anonymous referees.</p>
  </notes><ref-list>
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