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  <front>
    <journal-meta><journal-id journal-id-type="publisher">HESS</journal-id><journal-title-group>
    <journal-title>Hydrology and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1607-7938</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/hess-30-5999-2026</article-id><title-group><article-title>Calibration using downscaled and bias-corrected satellite soil-moisture data can improve watershed model representation of soil-moisture variability</article-title><alt-title>Calibration using downscaled and bias-corrected satellite soil-moisture data</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Asfaw</surname><given-names>Binyam Workeye</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Maksud</surname><given-names>Siam</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0563-3651</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fuka</surname><given-names>Daniel R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Collick</surname><given-names>Amy S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>White</surname><given-names>Robin R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Easton</surname><given-names>Zachary M.</given-names></name>
          <email>zeaston@vt.edu</email>
        <ext-link>https://orcid.org/0000-0001-7997-1958</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Biological Systems Engineering, Virginia Tech, Blacksburg, VA, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Agricultural Science, Morehead State University, Morehead, KY, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Animal Sciences, Virginia Tech, Blacksburg, VA, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Zachary M. Easton (zeaston@vt.edu)</corresp></author-notes><pub-date><day>24</day><month>September</month><year>2026</year></pub-date>
      
      <volume>30</volume>
      <issue>18</issue>
      <fpage>5999</fpage><lpage>6018</lpage>
      <history>
        <date date-type="received"><day>24</day><month>November</month><year>2025</year></date>
           <date date-type="rev-request"><day>4</day><month>December</month><year>2025</year></date>
           <date date-type="rev-recd"><day>4</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>17</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Binyam Workeye Asfaw et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026.html">This article is available from https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026.html</self-uri><self-uri xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e141">Watershed streamflow is often the focus of hydrological model calibration and evaluation, despite other potential objectives, including water quality management, flood protection, or agricultural management. When hydrological models are calibrated on streamflow, intermediate processes such as those affecting soil-moisture are not necessarily well represented. This research evaluated whether calibration using downscaled and bias-corrected satellite soil-moisture improves prediction of field-scale soil-moisture relative to conventional streamflow-based calibration. In this work, downscaled satellite soil-moisture and streamflow data are used to calibrate a soil and water assessment tool – variable source area model initialized using a terrain informed process to create hydrologic response units. In-situ soil-moisture measurements at 25 locations across a 4.2-ha mixed-grass pasture located in southwestern Virginia were used to estimate field-scale average soil-moisture variability for model evaluation. Leveraging downscaled satellite soil-moisture data substantially improved estimation of temporal soil-moisture variability without affecting the model streamflow performance. The multi-objective calibration using streamflow and satellite soil-moisture improved soil-moisture performance while maintaining streamflow performance comparable to streamflow-only calibration. These results demonstrate the potential for satellite soil-moisture–informed calibration to improve internal hydrologic state estimation in small, saturation excess watersheds. Furthermore, these results highlight the importance of coupling statistical performance gains with evaluation of hydrologic realism when extending such approaches to broader modeling applications.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Institute of Food and Agriculture</funding-source>
<award-id>2021-67021-34769.</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="d2e153">Hydrological model calibration is most commonly performed using streamflow observations because they are widely available and integrate catchment-scale water balance behavior (Pechlivanidis et al., 2011). However, calibration based solely on streamflow can leave internal states and fluxes, particularly soil-moisture, poorly constrained, despite their central role in governing evapotranspiration, runoff generation, and hydrologic connectivity (Brocca et al., 2017). Inadequate representation of soil-moisture therefore limits model usefulness for applications such as agricultural management, water quality assessment, and interpretation of vadose zone process-level behavior.</p>
      <p id="d2e156">Direct characterization of watershed-scale soil-moisture is challenging due to strong spatial heterogeneity and the cost of dense monitoring networks (Brocca et al., 2010; Vereecken et al., 2015). Satellite-based soil-moisture products therefore provide an attractive alternative, offering spatially continuous observations that can complement traditional calibration targets. Products derived from missions such as Soil Moisture Active Passive (SMAP) (Colliander et al., 2017; O'Neill et al., 2018), Soil Moisture and Ocean Salinity (SMOS) (Kundu et al., 2017), Advanced Scatterometer (ASCAT) (H SAF, 2021), and Advanced Microwave Scanning Radiometer 2 (AMSR2) (Cho et al., 2015) have been increasingly incorporated into hydrological model calibration and data assimilation frameworks (Brocca et al., 2017). Reported outcomes, however, are mixed. Some studies show improved model streamflow or drought estimation performance (Azimi et al., 2020; De Santis et al., 2021; Nanda et al., 2023; Patil and Ramsankaran, 2017; Sun, 2016; Wakigari and Leconte, 2023), while others report improved soil-moisture simulation with little or no degradation streamflow performance (Rajib et al., 2016; Dangol et al., 2023; Duethmann et al., 2022; López et al. 2017). These trade-offs reflect differences in watershed-scale, dominant runoff mechanisms, satellite sensing depth, preprocessing approaches, and model structure.</p>
      <p id="d2e159">Uncertainty in soil-moisture observation/estimation is particularly pronounced in small, saturation-excess–dominated watersheds, where runoff generation depends strongly on antecedent root zone soil-moisture storage, topographic convergence, and hydrologic connectivity (Beven et al., 2021; Easton et al., 2008; Lyon et al., 2004). In such settings, coarse-resolution satellite soil-moisture products, both native and downscaled, may capture large scale temporal dynamics but fail to represent event-scale wetness organization critical for runoff initiation (Gomis-Cebolla et al., 2022; Duethmann et al., 2022). Moreover, many previous studies are conducted in large basins (<inline-formula><mml:math id="M1" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula>700 km<sup>2</sup>), with comparatively few demonstrations in smaller basins (Duethmann et al., 2022; Dangol et al., 2023) and most lack independent evaluation of internal state estimates against field observations, limiting insight into whether calibration improvements reflect physical realism or compensatory parameter behavior. In addition, few studies report the effect of incorporating satellite soil-moisture products for model calibration on both soil-moisture and streamflow estimation performance (Dangol et al., 2023; Eini et al., 2023; Rajib et al., 2016). While there is agreement that remotely sensed soil-moisture can be used to calibrate a watershed model for improved soil-moisture estimation, the scale of soil-moisture outputs is still coarse (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> km<sup>2</sup>), and additional effort is required to inform field-scale management applications (Mascaro et al., 2011).</p>
      <p id="d2e197">Watershed models play a critical role in translating spatially continuous, remotely sensed observations into field-scale predictions of hydrologic states and processes. Their utility depends not only on the availability of satellite data, but on whether model structure can realistically map those observations onto the dominant controls governing runoff generation and soil-moisture variability. The Soil and Water Assessment Tool (SWAT) Variable Source Area (VSA) model (SWAT-VSA) provides a targeted framework for evaluating satellite-informed calibration in saturation-excess environments. By redistributing soil and hydrologic properties according to topographic index (TI) classes, SWAT-VSA improves representation of spatial saturation patterns and runoff source areas relative to conventional hydrologic response unit (HRU) definitions (Easton et al., 2008; Fuka et al., 2016). This structure also supports scale-consistent evaluation of modeled soil-moisture using TI-weighted aggregation of field measurements, helping bridge the gap between point observations, satellite products, and model states.</p>
      <p id="d2e201">In this study, we evaluate whether downscaled and empirically bias-corrected satellite soil-moisture products can improve internal hydrologic state estimation in a small (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">14.5</mml:mn></mml:mrow></mml:math></inline-formula> km<sup>2</sup>), saturation excess dominated watershed using SWAT-VSA. We contrast three calibration strategies: (i) streamflow only, (ii) soil-moisture only, and (iii) multi-objective calibration using both streamflow and satellite soil-moisture. Model performance is evaluated using both conventional goodness of fit statistics, as well as through comparison against field-scale soil-moisture measurements collected across a 4.2 ha monitoring field and aggregated using TI-based weighting consistent with the model structure (Easton et al., 2008; Asfaw et al., 2025).</p>
      <p id="d2e223">The objectives were to test whether satellite soil-moisture informed calibration improves temporal soil-moisture variability without degrading streamflow performance, and whether multi-objective calibration can balance predictive accuracy with hydrologic realism. By combining downscaled satellite soil-moisture, terrain-informed model structure, and independent field evaluation, this work advances understanding of when and how satellite soil-moisture can meaningfully constrain watershed model parameters in small, terrain-controlled catchments.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Material and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study Area</title>
      <p id="d2e241">The study was conducted in the upper Stroubles Creek watershed, Montgomery County, Virginia, USA. Streamflow was measured at the Virginia Tech StREAM (Stream Research, Education and Management) Lab monitoring station (Hofmeister et al., 2015), which drains a 14.5 km<sup>2</sup> headwater watershed within the Valley and Ridge physiographic region. The watershed is characterized by dolomite and limestone geology with springs and sink holes (Ketabchy, 2018; Parece et al., 2010). The climate is humid, temperate, receiving 1200 mm annual precipitation of which 760 mm is subject to evapotranspiration (Ketabchy, 2018; Asfaw et al., 2025). The watershed has 67 % pervious and 32 % impervious land cover (Nayeb Yazdi et al., 2019).</p>
      <p id="d2e253">The watershed is strongly saturation excess dominated (Asfaw et al., 2025), with runoff generation controlled by topography and shallow soil storage, making it well suited for evaluation of VSA hydrology and satellite soil-moisture informed calibration. </p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Soil-Moisture Data</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Soil Moisture Active Passive (SMAP) Soil-Moisture and Downscaling</title>
      <p id="d2e272">SMAP is a global surface soil-moisture acquisition mission at 36 km resolution (Entekhabi et al., 2014; O'Neill et al., 2023), using an L-band radiometer and L-band radar. Several approaches were used to post-process and increase SMAP product resolution for different applications (Abbaszadeh et al., 2021; Chan et al., 2018; Das et al., 2018). Among such efforts was the National Aeronautics and Space Administration (NASA) and the United States Department of Agriculture (USDA) Enhanced SMAP 10 km resolution product, generated by incorporating SMAP data using Kalman Filter into the Modified Palmer Two-Layer soil-moisture model (Mladenova et al., 2020).</p>
      <p id="d2e275">In this study, satellite soil-moisture derived from the Enhanced SMAP product and downscaled to 500 m resolution using a machine learning tool, the “mlhrsm” package in R (Peng et al., 2024), was used. The downscaling applies a pretrained quantile random forest model that uses multi-sensor predictors including Sentinel-1 backscatter, MODIS land surface temperature, Landsat-derived vegetation indices (surface reflectance, NDVI and NDWI), a 10 m USGS digital elevation model (DEM), POLARIS soil properties (clay, sand and bulk density), and NLCD land-cover classes.</p>
      <p id="d2e278">The downscaling model outputs daily volumetric soil-moisture estimates (m<sup>3</sup> m<sup>−3</sup>) for each 500 m cell intersecting the watershed for the period April 2015 to August 2022. The downscaled soil-moisture was spatially averaged across the watershed to generate a daily watershed mean soil-moisture time series used for model calibration.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>In-Situ Soil-Moisture</title>
      <p id="d2e310">In-situ soil-moisture measurements were collected on 20 sampling dates between March 2023 and January 2024 at 25 locations within a 4.2 ha mixed-grass pasture located inside the watershed. Sampling locations were distributed across the field covering the full range of terrain classes present. Measurements were collected 1–3 d following precipitation events to capture soil-moisture conditions ranging from near wilting point to near saturation (0.15–0.45 m<sup>3</sup> m<sup>−3</sup>).</p>
      <p id="d2e334">Mean field-scale soil-moisture was calculated using TI class weighted aggregation, consistent with the SWAT-VSA HRU structure. Point measurements were first grouped by TI class and then aggregated to a field-scale mean using the relative areal coverage of each TI class within the monitoring field. Although the monitored field represents a small fraction of the watershed, previous studies in similar saturation excess systems show that spatial soil-moisture variability is primarily governed by topographic controls rather than localized soil heterogeneity (Easton et al., 2008; Lyon et al., 2004; Asfaw et al., 2025). While land use and soil variability contribute to watershed-scale moisture patterns, the small size of the watershed supports the assumption of near uniform precipitation and evapotranspiration inputs, reducing the likelihood that climatic gradients confound field to watershed comparisons. Furthermore, previous work in the study area shows that spatial soil-moisture differences are dominated by topographic effects rather than local soil variation effects (Asfaw et al., 2025).</p>
      <p id="d2e337">The temporal variability of soil-moisture was well represented in the data with observations occurring on days near to the soil permanent wilting point and saturated soil-moisture conditions (0.15–0.45 volumetric water content). Calculated field-scale average soil-moisture was used for model performance evaluation across the same domain. Additional details on this dataset are reported in Asfaw et al. (2025).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>SWAT-VSA model</title>
      <p id="d2e349">The SWAT model is a semi distributed, watershed-scale hydrologic and water quality model that simulates the water balance, surface runoff, subsurface flow, and associated sediment and nutrient transport using land use, soil, management, weather, and topographic inputs (Neitsch et al., 2009). SWAT-VSA is a modification to SWAT designed to represent VSA hydrology which is characteristic of saturation excess dominated landscapes (Easton et al., 2008).</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e354">Location map of the Stroubles Creek watershed (top), digital elevation model (left) and Topographic Index Class (right; magnified view of 4.2 ha pasture field inset).</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f01.jpg"/>

        </fig>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e365">Study workflow showing generation of the downscaled and bias-corrected soil-moisture product (DSM), SWAT-VSA setup, calibration, evaluation, and uncertainty analysis. Three calibration approaches were compared: streamflow-only (SF), soil-moisture-only (DSM), and multi-objective (MO). Streamflow and field-scale in-situ soil-moisture observations were used to assess model performance and interpret parameter behavior and equifinality.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f02.png"/>

        </fig>

      <p id="d2e375">In SWAT-VSA, the curve number (CN) based runoff formulation is adapted to continuously redistribute watershed average soil-moisture storage as a function of topographic index (TI), thereby linking runoff generation to terrain-controlled wetness patterns (Easton et al., 2008; Fuka et al., 2016). TI values together with soil and land use information are used to define HRUs, which consequently represent spatial variability in runoff generation and soil-moisture state. SWAT computes the soil water content for each layer individually at a daily time step. Infiltration to the surface layer is calculated after subtracting evaporative demand and surface runoff from precipitation at a daily time step. Vertical drainage of excess soil water is simulated as percolation, while soil-moisture depletion under unsaturated conditions occurs through plant uptake and transpiration and soil water evaporation from the soil layers. These unsaturated zone processes are influenced by the plant evapotranspiration compensation factor (EPCO) and soil evaporation compensation factor (ESCO) parameters, which are commonly adjusted during calibration to regulate vertical moisture redistribution. Within each soil layer, SWAT assumes homogeneous moisture distribution. When the model soil layer is thick, this assumption can dampen simulated moisture variability in surface soil layers and complicate comparison with surface sensitive satellite products and shallow in-situ measurements. To enable depth-consistent comparison among modeled, satellite derived, and in-situ soil-moisture, the SWAT soil profile was modified to explicitly simulate the 0–50 and 50–120 mm layers in addition to standard profile. Reported soil water content was converted from depth units to volumetric water content adjusted relative to the permanent wilting point for the dominant soil in the watershed. This modification improves the representation of near surface wetting and drying cycles and facilitates direct comparison across data sources.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Model Initialization</title>
      <p id="d2e385">The SWAT-VSA model initialization was performed using ArcSWAT version 2012.10_8.26 in ArcGIS Desktop 10.8.2. The 2019 land use data were retrieved from the US Geologic Survey (USGS) National Land Cover Database (NLDC) website using the “get_nlcd” function from “FedData” package in R (Bocinsky et al., 2025; Jin et al., 2023). The USGS 3DEP program 1 m resolution elevation data were used for watershed delineation, estimation of slope, and calculation of TI.</p>
      <p id="d2e388">The VSA initialization was executed using TopoSWAT (Fuka and Easton, 2016), an ArcGIS plugin. The plugin was modified to enable generation of three TI classes from Asfaw et al. (2025). Using Natural Breaks from Spatial Analyst in Arc GIS, TI values were grouped into each class minimizing variance within class and maximizing variance among classes. The three TI classes from class 3 to 1 cover 6 %, 38 %, and 56 % of the watershed area, respectively. Soils data were collected from the FAO-UNESCO Digital Soil Map (FAO, 2007). TopoSWAT downscales soil texture, soil depth, available water capacity, and hydraulic conductivity across TI classes. This was demonstrated to improve spatial representation of soil properties in VSA dominated watersheds (Fuka et al., 2016; Collick et al., 2015). Weather data from the Global Historical Climatology Network (GHCN) were used for model forcing. The data were acquired using the `FillMissWX' function in R (Garna et al., 2023).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Data for Model Calibration and Evaluation</title>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Streamflow Data</title>
      <p id="d2e407">The StREAM lab monitoring station collects stage readings at a frequency of 10–15 min. Model calibration and evaluation were performed at a daily timestep. Stage was converted to discharge using a site-specific rating curve and aggregated to daily mean streamflow values using the zoo package in R (Zeileis et al., 2025). Daily values were excluded if more than 12 h or more of data were missing. The resulting streamflow record extended from 2011 to 2024. The data for years 2011 and 2012 were excluded due to extended periods of missing values. The period January 2013–December 2021 was used for model calibration, and January 2022–May 2024 were reserved for model evaluation. The streamflow data also provides an independent data source for model evaluation when calibrating soil moisture.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Soil-Moisture</title>
      <p id="d2e418">The downscaled, 500 m resolution soil-moisture product was spatially averaged across the watershed to generate a daily watershed-mean soil-moisture time series for calibration. Downscaling was required because the native 10 km Enhanced SMAP resolution is far larger than the 14.5 km<sup>2</sup> watershed. The 500 m downscaled product constrains the satellite signal to the watershed boundary and improves temporal representativeness at the scale of interest.</p>
      <p id="d2e430">These spatio-temporal improvements are needed to constrain soil-moisture-related model parameters at the watershed-scale. The choice of 500 m resolution was also constrained by the available pretrained models in the mlhrsm downscaling package, which does not currently provide alternative target resolutions.</p>
      <p id="d2e433">Importantly, spatial averaging of the downscaled soil-moisture fields does not undermine the value of using the SWAT-VSA model. SWAT-VSA relies on TI-based  HRUs to represent spatial patterns of saturation and runoff generation. While calibration uses a watershed-scale soil-moisture time series, the model internally maintains spatially explicit hydrologic processes using TI classes. HRU weighted aggregation ensures that model predicted soil-moisture is scaled to the watershed or field boundary in a manner consistent with the model's internal hydrologic structure.</p>
      <p id="d2e436">Following initial comparison with in-situ measurements, the downscaled satellite soil moisture exhibited a narrower dynamic range and attenuated peak wetness relative to observed soil moisture in the monitoring field (maximum <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula> % versus <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> % volumetric water content). To address this limitation, a simple event-based bias-correction was applied at the watershed scale for days with substantial effective precipitation, Eq. (1). The corrected soil moisture, <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cor</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, was calculated as:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M16" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cor</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>k</mml:mi><mml:mi mathvariant="italic">σ</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">if</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub><mml:mo>≥</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">if</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">cor</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the watershed mean downscaled and bias corrected soil moisture, <inline-formula><mml:math id="M18" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>  is average standard deviation of the uncertainty bound around the downscaled mean soil-moisture estimates from the mlhrsm, <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the average downscaled watershed bias-corrected soil-moisture, <inline-formula><mml:math id="M20" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is a scaling factor, <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the daily effective precipitation (mm), and <inline-formula><mml:math id="M22" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> is a threshold effective precipitation depth (mm) calculated as equivalent value to bring the 0–50-mm soil layer from field capacity to saturation. This depth corresponds to the soil layer represented by the satellite soil-moisture product and used in model calibration. A second derived soil layer was also calculated: the 0–120 mm composite soil-moisture layer was used only for independent evaluation against field observations.</p>
      <p id="d2e613">A three-day rolling mean was applied following bias-correction. In-situ soil-moisture observations were not used in the derivation of the bias-correction parameters. However, they were considered when selecting among Pareto-equivalent solutions and therefore should be viewed as an auxiliary model-selection criterion rather than a fully independent validation dataset (Table A1).</p>
      <p id="d2e616">Although calibration uses the downscaled and bias-corrected satellite soil-moisture data,  model evaluation is performed using independent observations not involved in preprocessing or calibration. In particular, in-situ soil-moisture measurements collected at 25 locations within the 4.2-ha field (0–120 mm depth) were used exclusively for model evaluation, not for calibration, providing an independent benchmark for field-scale soil-moisture dynamics. All calibration analyses hereafter refer to the watershed average bias-corrected soil-moisture time series unless otherwise noted.</p>
</sec>
<sec id="Ch1.S2.SS4.SSSx1" specific-use="unnumbered">
  <title>Bias-Correction Rationale and Procedure</title>
      <p id="d2e625">An event-based bias-correction was applied to the watershed average downscaled soil-moisture series to enhance short term wetting responses while preserving the long-term temporal structure. The correction (Eq. 1), is triggered when daily effective precipitation exceeds a threshold of 5 mm, representing the depth, d, required to fill the soil layer from field capacity to saturation over the top 0–50 mm. When triggered, the downscaled soil-moisture estimate is increased by a multiple (<inline-formula><mml:math id="M23" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) of the model reported uncertainty (<inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), where <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> is the standard deviation around the downscaled mean returned by the mlhrsm quantile random forest model.</p>
      <p id="d2e649">This approach selectively expands peak soil-moisture responses during hydrologically important events, addressing the observed attenuation of wetness extremes in the uncorrected downscaled product while leaving dry period behavior and long term means unchanged. The precipitation threshold reflects the shallow storage deficit that must be overcome before saturation excess runoff responses emerge in topographically organized landscapes.</p>
      <p id="d2e652">In-situ soil-moisture observations were not used to derive or calibrate the bias-correction parameters (<inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M27" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, or <inline-formula><mml:math id="M28" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>). Instead, <inline-formula><mml:math id="M29" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> is provided directly by the downscaling model, d is estimated from soil hydraulic properties and target depth, and <inline-formula><mml:math id="M30" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is set a priori for parsimony. In-situ measurements are used only for independent model evaluation and to qualitatively confirm that the corrected soil-moisture series exhibits a physically realistic range of wetness.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Model Calibration</title>
<sec id="Ch1.S2.SS5.SSS1">
  <label>2.5.1</label><title>Model Sensitivity</title>
      <p id="d2e707">To identify the most influential parameters for calibration of the SWAT-VSA model, a sensitivity analysis was performed. A total of 20 parameters relevant to streamflow generation and soil-moisture dynamics were evaluated using relative sensitivity based on changes in Nash-Sutcliffe Efficiency (NSE) (Nash and Sutcliffe, 1970) from 1 January 2015, through 31 December 2019. Table 1 provides the tested parameters, and their rank based on relative sensitivity values. Because the sensitivity analysis was based on streamflow NSE, parameters that primarily influence soil-moisture dynamics may be underrepresented in the resulting rankings. However, all parameters with known relevance to soil-water storage and redistribution were retained for calibration.</p>
</sec>
<sec id="Ch1.S2.SS5.SSS2">
  <label>2.5.2</label><title>Calibration Strategy</title>
      <p id="d2e718">Model calibration targeted daily streamflow and watershed average soil-moisture in the top 0–50 mm soil layer. Three calibration approaches were included: (1) streamflow only, (2) soil-moisture only, and (3) a multi-objective calibration using both streamflow and soil-moisture data. Prior to calibrations, baseflow and snow processes were pre-calibrated following a stepwise calibration approach to constrain parameter ranges. Snow parameters were subsequently held constant as initial analysis indicated the values provide adequate representation of snow processes. Baseflow separation was performed using the “baseflowseparation” function from EcoHydRology package (Fuka et al., 2013; Nathan and McMahon, 1990). Table 1 provides the calibrated parameters and their ranges for each method.</p>
      <p id="d2e721">Single-objective model calibrations were performed using a differential evolutionary algorithm, an exhaustive parameter space search using the  “DEoptim” R package (Mullen et al., 2011). Thirteen parameter vectors were evaluated per generation over 50 generations, for a total of 650 parameter vectors. Fifty generations were deemed sufficient after monitoring the successive diminishing returns in objective function minimization. The multi-objective calibration was performed using non-dominated sorting genetic algorithm (NSGAII) for the Pareto-front solution (Bekele and Nicklow, 2007; Deb et al., 2000) implemented using the Python library “pymoo” (Blank and  Deb, 2020). Among Pareto-optimal solutions, final model selection additionally considered skill in reproducing field-scale in-situ soil-moisture observations. The VSA implementation employed three TI classes representing progressively wetter landscape positions. The CN2 parameter (curve number for average soil-moisture conditions) was used to estimate the watershed average moisture storage deficit S and redistributed across TI classes following the relationship developed in Easton et al. (2008). CN2 values for individual HRUs were updated at each calibration iteration based on the optimized watershed-average CN2. Initial CN2 estimates were derived using a water-balance approach (Lyon et al., 2004), with subsequent adjustment governed by the optimization algorithm.</p>
      <p id="d2e724">Additional diagnostic analyses, including flow-duration curves and complete calibration and evaluation time series, are provided in Appendix A (Figs. A1–A4)</p>
</sec>
<sec id="Ch1.S2.SS5.SSS3">
  <label>2.5.3</label><title>Goodness of Fit Measures</title>
      <p id="d2e735">Model performance was evaluated using the coefficient of determination (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), the root mean squared error (RMSE), the percent bias (PBIAS), and the Nash-Sutcliffe efficiency (NSE) (Krause et al., 2005; Moriasi et al., 2007). Streamflow calibration sought to maximize the NSE value as this is the most widely used approach. For soil-moisture, the RMSE was used due to the bounded range, lower variance, and longer memory of soil-moisture time series, for which NSE can be overly sensitive to small errors (Entekhabi et al., 2010; Krause et al., 2005).</p>
</sec>
<sec id="Ch1.S2.SS5.SSS4">
  <label>2.5.4</label><title>Parameter Uncertainty</title>
      <p id="d2e757">Parameter uncertainty was quantified using the parameter sets developed during model calibration that satisfied performance thresholds of NSE <inline-formula><mml:math id="M32" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 0.5 for streamflow, RMSE <inline-formula><mml:math id="M33" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 0.05 m<sup>3</sup> m<sup>−3</sup> for soil moisture, or both. The extent of parameter uncertainty associated with each parameter was then scaled from 0–100 using the initial parameter range and the equation given below. Normalized parameter uncertainty (Pn) provides an equal scale for comparison across parameters following Kumar and Merwade (2009) and Rajib and Merwade (2016):

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M36" display="block"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></disp-formula>

            where, <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the normalized parameter uncertainty,   <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is parameter value from parameters vectors which fulfilled the selection criteria, and <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">min</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">max</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are initial parameter ranges.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e890">Table 1 summarizes parameter sensitivity and calibrated values across the three calibration approaches. The soil depth parameter was not calibrated but rather was adjusted during the model initialization to ensure equivalent comparison between observed and simulated soil moisture (Table 1). During calibration, the curve number parameter (CN2) was updated at each iteration by redistributing the watershed-average storage deficit across hydrologic response units according to TI classes following Easton et al. (2008).</p>
      <p id="d2e893">Parameters controlling runoff generation and soil-moisture dynamics (CN2, Bulk Density, Available Water Content (AWC), ESCO, Saturated Hydraulic Conductivity (Ksat), EPCO) in Table 1, were found to be influential across calibration approaches, while parameters controlling baseflow were less influential. Calibrated CN2 and bulk density parameters were similar across calibration approaches, while AWC, ESCO, Ksat and EPCO differed substantially, reflecting contrasting calibration targets.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e899">Model parameter sensitivity rank, initial range, and calibrated values.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="left"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Parameter</oasis:entry>

         <oasis:entry rowsep="1" colname="col2" morerows="1">Description</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" morerows="1">Method</oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="left">Range </oasis:entry>

         <oasis:entry rowsep="1" colname="col6" morerows="1">SR<sup>c</sup></oasis:entry>

         <oasis:entry rowsep="1" namest="col7" nameend="col9" align="left">Calibrated value<sup>d</sup></oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col4">min</oasis:entry>

         <oasis:entry colname="col5">max</oasis:entry>

         <oasis:entry colname="col7">SF</oasis:entry>

         <oasis:entry colname="col8">DSM</oasis:entry>

         <oasis:entry colname="col9">MO</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">CN2</oasis:entry>

         <oasis:entry colname="col2">Runoff curve number of moisture condition II</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">40</oasis:entry>

         <oasis:entry colname="col5">70</oasis:entry>

         <oasis:entry colname="col6">1</oasis:entry>

         <oasis:entry colname="col7">42.0</oasis:entry>

         <oasis:entry colname="col8">46.7</oasis:entry>

         <oasis:entry colname="col9">41.4</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Depth</oasis:entry>

         <oasis:entry colname="col2">Soil depth</oasis:entry>

         <oasis:entry colname="col3">multiply</oasis:entry>

         <oasis:entry colname="col4">0.3</oasis:entry>

         <oasis:entry colname="col5">3</oasis:entry>

         <oasis:entry colname="col6">2</oasis:entry>

         <oasis:entry colname="col7">NC<sup>a</sup></oasis:entry>

         <oasis:entry colname="col8">NC<sup>a</sup></oasis:entry>

         <oasis:entry colname="col9">NC<sup>a</sup></oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Bulk Density</oasis:entry>

         <oasis:entry colname="col2">Soil bulk density</oasis:entry>

         <oasis:entry colname="col3">multiply</oasis:entry>

         <oasis:entry colname="col4">0.5</oasis:entry>

         <oasis:entry colname="col5">1.5</oasis:entry>

         <oasis:entry colname="col6">3</oasis:entry>

         <oasis:entry colname="col7">0.93</oasis:entry>

         <oasis:entry colname="col8">1.22</oasis:entry>

         <oasis:entry colname="col9">1.13</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">SMFMN<sup>b</sup></oasis:entry>

         <oasis:entry colname="col2">Snow melt factor minimum</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0</oasis:entry>

         <oasis:entry colname="col5">5</oasis:entry>

         <oasis:entry colname="col6">4</oasis:entry>

         <oasis:entry colname="col7">4.50</oasis:entry>

         <oasis:entry colname="col8">4.50</oasis:entry>

         <oasis:entry colname="col9">4.50</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">AWC</oasis:entry>

         <oasis:entry colname="col2">Available water content</oasis:entry>

         <oasis:entry colname="col3">multiply</oasis:entry>

         <oasis:entry colname="col4">0.3</oasis:entry>

         <oasis:entry colname="col5">3</oasis:entry>

         <oasis:entry colname="col6">5</oasis:entry>

         <oasis:entry colname="col7">2.55</oasis:entry>

         <oasis:entry colname="col8">1.5</oasis:entry>

         <oasis:entry colname="col9">2.70</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">SMFMX<sup>b</sup></oasis:entry>

         <oasis:entry colname="col2">Snow melt factor maximum</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0</oasis:entry>

         <oasis:entry colname="col5">5</oasis:entry>

         <oasis:entry colname="col6">6</oasis:entry>

         <oasis:entry colname="col7">4.50</oasis:entry>

         <oasis:entry colname="col8">4.50</oasis:entry>

         <oasis:entry colname="col9">4.50</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">ESCO</oasis:entry>

         <oasis:entry colname="col2">Soil evaporation compensation factor</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0.1</oasis:entry>

         <oasis:entry colname="col5">1</oasis:entry>

         <oasis:entry colname="col6">7</oasis:entry>

         <oasis:entry colname="col7">0.11</oasis:entry>

         <oasis:entry colname="col8">0.69</oasis:entry>

         <oasis:entry colname="col9">0.34</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Ksat</oasis:entry>

         <oasis:entry colname="col2">Saturated hydraulic conductivity</oasis:entry>

         <oasis:entry colname="col3">multiply</oasis:entry>

         <oasis:entry colname="col4">0.3</oasis:entry>

         <oasis:entry colname="col5">3</oasis:entry>

         <oasis:entry colname="col6">8</oasis:entry>

         <oasis:entry colname="col7">2.36</oasis:entry>

         <oasis:entry colname="col8">1.55</oasis:entry>

         <oasis:entry colname="col9">2.92</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">EPCO</oasis:entry>

         <oasis:entry colname="col2">Plant evaporation compensation factor</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0</oasis:entry>

         <oasis:entry colname="col5">1</oasis:entry>

         <oasis:entry colname="col6">9</oasis:entry>

         <oasis:entry colname="col7">0.94</oasis:entry>

         <oasis:entry colname="col8">0.77</oasis:entry>

         <oasis:entry colname="col9">0.85</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">TIMP<sup>b</sup></oasis:entry>

         <oasis:entry colname="col2">Snowpack temperature lag factor</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0.01</oasis:entry>

         <oasis:entry colname="col5">1</oasis:entry>

         <oasis:entry colname="col6">10</oasis:entry>

         <oasis:entry colname="col7">0.01</oasis:entry>

         <oasis:entry colname="col8">0.01</oasis:entry>

         <oasis:entry colname="col9">0.01</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">SFTMP<sup>b</sup></oasis:entry>

         <oasis:entry colname="col2">Snow fall temperature</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">5</oasis:entry>

         <oasis:entry colname="col6">11</oasis:entry>

         <oasis:entry colname="col7">4.00</oasis:entry>

         <oasis:entry colname="col8">4.00</oasis:entry>

         <oasis:entry colname="col9">4.00</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">SMTMP<sup>b</sup></oasis:entry>

         <oasis:entry colname="col2">Snow melt temperature</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">5</oasis:entry>

         <oasis:entry colname="col6">12</oasis:entry>

         <oasis:entry colname="col7">2.00</oasis:entry>

         <oasis:entry colname="col8">2.00</oasis:entry>

         <oasis:entry colname="col9">2.00</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">GW_DELAY</oasis:entry>

         <oasis:entry colname="col2">Ground water delay (days)</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">1</oasis:entry>

         <oasis:entry colname="col5">7</oasis:entry>

         <oasis:entry colname="col6">13</oasis:entry>

         <oasis:entry colname="col7">5.85</oasis:entry>

         <oasis:entry colname="col8">3.59</oasis:entry>

         <oasis:entry colname="col9">5.30</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">ALPHA_BF</oasis:entry>

         <oasis:entry colname="col2">Baseflow alpha factor (days)</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0.12</oasis:entry>

         <oasis:entry colname="col5">0.30</oasis:entry>

         <oasis:entry colname="col6">14</oasis:entry>

         <oasis:entry colname="col7">0.25</oasis:entry>

         <oasis:entry colname="col8">0.18</oasis:entry>

         <oasis:entry colname="col9">0.26</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">GWQMN</oasis:entry>

         <oasis:entry colname="col2">Threshold depth of water in the shallow aquifer</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">10</oasis:entry>

         <oasis:entry colname="col5">500</oasis:entry>

         <oasis:entry colname="col6">15</oasis:entry>

         <oasis:entry colname="col7">417</oasis:entry>

         <oasis:entry colname="col8">213</oasis:entry>

         <oasis:entry colname="col9">494</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">required for return flow initiation (mm)</oasis:entry>

         <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:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">GW_REVAP</oasis:entry>

         <oasis:entry colname="col2">Groundwater “revap” coefficient</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0.01</oasis:entry>

         <oasis:entry colname="col5">0.05</oasis:entry>

         <oasis:entry colname="col6">16</oasis:entry>

         <oasis:entry colname="col7">0.04</oasis:entry>

         <oasis:entry colname="col8">0.03</oasis:entry>

         <oasis:entry colname="col9">0.05</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">REVAPMN</oasis:entry>

         <oasis:entry colname="col2">Threshold depth of water in the shallow</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">500</oasis:entry>

         <oasis:entry colname="col5">1000</oasis:entry>

         <oasis:entry colname="col6">17</oasis:entry>

         <oasis:entry colname="col7">996</oasis:entry>

         <oasis:entry colname="col8">813</oasis:entry>

         <oasis:entry colname="col9">649</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">aquifer for “revap” initiation (mm)</oasis:entry>

         <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:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">RCHRG_DP</oasis:entry>

         <oasis:entry colname="col2">Recharges to deep aquifer (fraction)</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0.25</oasis:entry>

         <oasis:entry colname="col5">0.35</oasis:entry>

         <oasis:entry colname="col6">18</oasis:entry>

         <oasis:entry colname="col7">0.34</oasis:entry>

         <oasis:entry colname="col8">0.33</oasis:entry>

         <oasis:entry colname="col9">0.32</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SURLAG</oasis:entry>

         <oasis:entry colname="col2">Surface runoff lag coefficient</oasis:entry>

         <oasis:entry colname="col3">replace</oasis:entry>

         <oasis:entry colname="col4">0</oasis:entry>

         <oasis:entry colname="col5">15</oasis:entry>

         <oasis:entry colname="col6">19</oasis:entry>

         <oasis:entry colname="col7">5.15</oasis:entry>

         <oasis:entry colname="col8">3.3</oasis:entry>

         <oasis:entry colname="col9">4.5</oasis:entry>

         <oasis:entry colname="col10"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e902"><sup>a</sup> Not Calibrated. <sup>b</sup> Pre-calibrated snow processes parameter values are underlined. <sup>c</sup> Sensitivity Ranking (SR), using streamflow as the target variable. <sup>d</sup> Calibration on streamflow (SF); Calibration on soil-moisture (DSM); Calibration multi-objective (MO).</p></table-wrap-foot></table-wrap>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Comparison of Downscaled and Bias-Corrected Soil-Moisture Products</title>
      <p id="d2e1802">To evaluate how bias-correction alters the soil-moisture signal used for calibration, two products were compared at the watershed-scale: (1) the 500-m downscaled soil-moisture series generated using the mlhrsm pretrained quantile random forest model, and (2) the bias-corrected downscaled product used in model calibration. The uncorrected downscaled soil-moisture product exhibits a reduced dynamic range and underrepresents peak wetness relative to in-situ observations, as indicated by comparison with field observations presented in Sect. 3.3.2. Following bias-correction, the soil-moisture product exhibits increased peak responses immediately following precipitation events,  and a greater dynamic range (Fig. 3). Comparison statistics against the independent field observations are presented in Fig. 6.</p>
      <p id="d2e1805">The bias-correction primarily affects wet-period responses while the lower envelope of the soil-moisture signal remains unchanged, confirming that the procedure enhances event responsiveness without artificially shifting long-term trends.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e1810">Time series of downscaled (mlrhsm product) and downscaled-bias-corrected soil-moisture (DSM) at the watershed-scale. Data from only one year are shown for clarity.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Streamflow Estimation Performance</title>
      <p id="d2e1827">The three calibration approaches produced comparable streamflow estimation performance during the calibration period, with slightly lower performance for the soil-moisture calibrated model. Calibration targeting streamflow resulted in NSE, RMSE, and PBIAS values of 0.58, 0.32, <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.1</mml:mn></mml:mrow></mml:math></inline-formula> %, respectively (Fig. 4). The multi-objective calibration, optimizing both streamflow and soil-moisture, achieved identical NSE and RMSE values (0.58 and 0.32 m<sup>3</sup> s<sup>−1</sup>), with a more negative PBIAS (<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.7</mml:mn></mml:mrow></mml:math></inline-formula> %), indicating increased underestimation bias. The soil-moisture calibration was not optimized for streamflow but nonetheless reproduced daily streamflow dynamics with an NSE of 0.54, RMSE of 0.33 m<sup>3</sup> s<sup>−1</sup>, and PBIAS of 28.7 % (Fig. 4), reflecting a consistent overestimation bias. Both the streamflow and multi-objective calibrated models reproduced baseflow magnitude and the timing of high-flow events, although peak flows were occasionally underestimated, particularly for the multi-objective calibration. In contrast, the soil-moisture calibrated model exhibited systematic overestimation of low flows (Fig. A1), reflected in the positive streamflow bias.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Soil-Moisture Estimation Performance</title>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Calibration-Scale Soil-Moisture (Satellite)</title>
      <p id="d2e1908">When evaluated against the bias corrected downscaled soil-moisture calibration target, the streamflow-calibrated model resulted in RMSE, <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and NSE values of 0.07 m<sup>3</sup> m<sup>−3</sup>, 0.50, and <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.64</mml:mn></mml:mrow></mml:math></inline-formula>, respectively. Calibration directly targeting soil-moisture reduced RMSE to 0.05 m<sup>3</sup> m<sup>−3</sup> and improved NSE to 0.12, while explaining approximately 50 % of observed variability, Fig. 5. The multi-objective calibration produced similar RMSE (0.05 m<sup>3</sup> m<sup>−3</sup>) and <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (0.48), with improved alignment along the <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line relative to the streamflow-only model (Figs. 5, A2).</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e2021">Model streamflow prediction performance calibration period <bold>(a)</bold> streamflow only (SF) calibration <bold>(b)</bold> soil-moisture only (DSM) calibration <bold>(c)</bold> multi-objective (MO) calibration (see Fig. A3 for the complete time series).</p></caption>
            <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f04.png"/>

          </fig>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2041">Model soil-moisture estimation performance during the calibration period compared against downscaled and bias corrected soil-moisture data calibrated on <bold>(a)</bold> streamflow only (SF) calibration <bold>(b)</bold> soil-moisture only (DSM) calibration <bold>(c)</bold> multi-objective (MO) calibration.</p></caption>
            <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Field-Scale Soil-Moisture-In-Situ Evaluation</title>
      <p id="d2e2067">Independent field-scale evaluation using in-situ soil- moisture measurements (0–120 mm) showed improved model performance when soil-moisture was included in the calibration. The streamflow calibrated model explained 50 % of the observed soil-moisture variability (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>), whereas the soil-moisture and multi-objective calibrations explained 88 % of the observed soil-moisture variability (<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.88</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. 6). The multi-objective calibrated model reduced RMSE from 0.05 m<sup>3</sup> m<sup>−3</sup> in the streamflow calibration to 0.03 m<sup>3</sup> m<sup>−3</sup> and reduced PBIAS to <inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.8 %. Time-series comparison indicates reduced bias across a broader range of soil-moisture conditions for the multi-objective calibration approach (Fig. 7).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2152">Soil-moisture estimation performance of the three models in the evaluation period at field-scale against field-scale average soil-moisture estimate from in-situ measurements; <bold>(a)</bold> streamflow only (SF) calibration <bold>(b)</bold> soil-moisture only (DSM) calibration <bold>(c)</bold> multi-objective (MO) calibration.</p></caption>
            <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f06.png"/>

          </fig>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e2172">Temporal variability of modeled and measured soil-moisture for the three calibration approaches average over the top 120 mm soil layer; streamflow only (SF), soil-moisture only (DSM), and Multi-objective (MO).</p></caption>
            <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f07.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Water Balance and Parameter Behavior</title>
      <p id="d2e2190">This section examines whether improvements in model performance metrics correspond to physically realistic hydrologic behavior or arise primarily from compensatory parameter adjustments. Surface runoff fractions were similar across models, reflecting comparable calibrated CN2 values. The average CN2 values were 42, 41.4, and 46.7 for the streamflow, multi-objective and soil-moisture calibrated models, respectively (Table 1), resulting in surface runoff values between 19.3 % and 23.7 % of the water balance (Fig. 8). The soil-moisture calibrated model produced lower ET and higher total streamflow relative to the other two approaches, whereas the streamflow and multi-objective calibrated models yielded similar partitioning among ET, lateral flow, and surface runoff components (Fig. 8). </p>

      <fig id="F8"><label>Figure 8</label><caption><p id="d2e2196">Model water balance estimation <bold>(a)</bold> streamflow only (SF) calibration <bold>(b)</bold> soil-moisture only (DSM) calibration <bold>(c)</bold> multi-objective (MO) calibration.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f08.png"/>

        </fig>

      <p id="d2e2214">The difference in ET and lateral flow components between the soil-moisture only calibrated model and the other two calibration approaches may be due to the reduced soil-moisture variability and reduced AWC in the soil-moisture only calibration. This calibration produces a lower mean and coefficient of variation (CV), compared to the other approaches (Table 2). While the values were comparable to the measured soil-moisture data, they diverged from the higher mean and variability simulated by the streamflow- and multi-objective calibrated models. When calibrating on streamflow, the optimization algorithm permits greater variability in soil-moisture related parameters because streamflow exhibits higher temporal variability (CV) than soil-moisture. In contrast, calibration against soil-moisture directly minimizes errors in the soil-moisture time series, constraining parameter variability, and favoring parameter sets that reproduce the lower variance structure of the soil-moisture observations. As a result, the soil-moisture-only calibration converges on lower AWC and dampened soil-moisture dynamics, with corresponding implications for ET and lateral flow partitioning.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2221">Soil-moisture variability during the calibration period (observed and modeled).</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="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Standard</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Mean</oasis:entry>
         <oasis:entry colname="col3">Deviation</oasis:entry>
         <oasis:entry colname="col4">Coefficient</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Soil-moisture</oasis:entry>
         <oasis:entry colname="col2">(cm<sup>3</sup> cm<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col3">(cm<sup>3</sup> cm<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col4">of Variation (%)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Soil-moisture data (measured)</oasis:entry>
         <oasis:entry colname="col2">0.26</oasis:entry>
         <oasis:entry colname="col3">0.06</oasis:entry>
         <oasis:entry colname="col4">22.4</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">From streamflow model</oasis:entry>
         <oasis:entry colname="col2">0.31</oasis:entry>
         <oasis:entry colname="col3">0.08</oasis:entry>
         <oasis:entry colname="col4">26.9</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">From soil-moisture model</oasis:entry>
         <oasis:entry colname="col2">0.23</oasis:entry>
         <oasis:entry colname="col3">0.05</oasis:entry>
         <oasis:entry colname="col4">21.8</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">From multi-objective model</oasis:entry>
         <oasis:entry colname="col2">0.28</oasis:entry>
         <oasis:entry colname="col3">0.07</oasis:entry>
         <oasis:entry colname="col4">24.8</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Model Evaluation and Comparison</title>
      <p id="d2e2411">During the model evaluation period (1 January 2022–31 May 2024) all three models produced comparable streamflow estimation performance with NSE values ranging from 0.55 to 0.56 and RMSE 0.25 m<sup>3</sup> m<sup>−s</sup> (Fig. 9). The soil-moisture-calibrated model exhibited positive bias in daily streamflow estimation (18.6 %), primarily during low flow conditions. In contrast, the streamflow and multi-objective calibrated models showed an under-estimation bias of <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11.9</mml:mn></mml:mrow></mml:math></inline-formula> % and <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">21.7</mml:mn></mml:mrow></mml:math></inline-formula> %, respectively (Fig. 9).</p>
      <p id="d2e2455">Overall, streamflow performance during the evaluation period was consistent with relative differences observed during calibration, confirming comparable predictive skill across calibration strategies under independent conditions.</p>

      <fig id="F9"><label>Figure 9</label><caption><p id="d2e2460">Model streamflow estimation performance evaluation period <bold>(a)</bold> streamflow only (SF) calibration <bold>(b)</bold> soil-moisture only (DSM) calibration <bold>(c)</bold> multi-objective (MO) calibration (see also Fig. A4 or the complete evaluation-period time series).</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-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>Effect of Downscaling and Bias-Correction on the Soil-Moisture Signal</title>
      <p id="d2e2494">The downscaled satellite soil-moisture product captured the broad temporal patterns of wetting and drying at the watershed-scale but exhibited a reduced dynamic range and attenuated peak wetness relative to in-situ observations. This behavior is consistent with previous evaluations of satellite and downscaled soil-moisture products, which often reproduce large-scale temporal variability but smooth event and fine-scale extremes, particularly in topographically complex catchments (Brocca et al., 2017; Duethmann et al., 2022).</p>
      <p id="d2e2497">The event-based bias-correction selectively enhanced soil-moisture responses during precipitation events while preserving dry period behavior and long-term seasonal structure. By conditioning the adjustment on effective precipitation, the correction addressed the commonly reported attenuation of peak wetness in pretrained downscaling products without altering the lower envelope of the soil-moisture signal (Duethmann et al., 2022; Xu et al., 2025). Importantly, the correction parameters were not derived from in-situ soil-moisture measurements, ensuring that the adjusted product remained independent of the evaluation data. The experimental design was intended to evaluate the utility of the final downscaled and bias-corrected soil-moisture product for calibration and was not designed to isolate the relative contributions of the native satellite retrieval, downscaling procedure, and bias-correction method. Consequently, the reported performance improvements should be interpreted as the combined effect of the preprocessing and calibration framework.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Impact of Calibration Strategy on Streamflow Soil-moisture Dynamics</title>
      <p id="d2e2508">Across calibration strategies, streamflow estimation performance remained broadly comparable, indicating that inclusion of satellite soil-moisture did not substantially degrade streamflow skill. This contrasts with studies reporting pronounced reductions in streamflow performance when models are calibrated solely on soil-moisture remote sensing products (Dangol et al., 2023; Kofidou and Gemitzi, 2023) or under certain multi-objective calibration frameworks (Duethmann et al., 2022; Mei et al., 2023). The results here suggest that the combination of the SWAT-VSA model structure and bias corrected satellite soil-moisture calibration target helped limit tradeoffs between preserving internal soil-moisture state and preserving integrated streamflow fluxes.</p>
      <p id="d2e2511">Nevertheless, the calibration strategy influenced bias patterns. The soil-moisture only calibrated model consistently overestimated low flows, whereas the streamflow- and multi-objective calibrated models exhibited underestimation bias (Fig. A1). Duethmann et al. (2022) showed that streamflow underestimation was more pronounced when soil-moisture was included in the calibration. Such differences among calibration strategies may not be a simple parameter trade-off issue but rather could be related to model structure, for instance potential deficiencies in the evapotranspiration mechanism (Rajib et al., 2016), potentially leading to inadequate handling of water balance partitioning and over-compensation of related parameters.</p>
      <p id="d2e2514">In contrast, soil-moisture estimation, particularly at the field-scale, was more sensitive to calibration strategy. Both soil-moisture only and multi-objective calibration improved agreement with observed soil-moisture dynamics relative to streamflow-only calibration, consistent with studies demonstrating the value of soil-moisture data for constraining internal model states (Rajib and Merwade, 2016; Mei et al., 2023).</p>
      <p id="d2e2517">The calibration strategies yielded satisfactory streamflow performance (NSE <inline-formula><mml:math id="M87" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.54–0.58). Although increased levels of streamflow skill (NSE <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.6) have been reported for this same study watershed using SWAT (e.g., Thilakarathne et al., 2018), direct comparison of NSE values could be misleading as streamflow performance here was achieved over a long calibration period (<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> years) encompassing substantial hydrologic variability. This indicates that the calibrated parameter set maintains reasonable process behavior across a broad range of flow regimes and antecedent moisture conditions, rather than being tuned to short-term or event specific dynamics.</p>
      <p id="d2e2545">Parameters describing soil physical properties, including bulk density, available water capacity, and saturated hydraulic conductivity, deviated from baseline values in the soil database by <inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7 %, <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">155</mml:mn></mml:mrow></mml:math></inline-formula> %, and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">136</mml:mn></mml:mrow></mml:math></inline-formula> %, respectively. Such adjustments are consistent with previous findings showing that regional or large-scale soil datasets often fail to represent local soil characteristics, including texture, horizon thickness, and organic matter content (Buell, 2022; Fuka et al., 2016). Accordingly, allowing substantial flexibility in soil property parameters during calibration is justified for improving hydrologic performance in small, topographically complex watersheds.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Statistical Improvements versus Hydrologic Realism</title>
      <p id="d2e2583">Although soil-moisture only calibration produced measurable improvements in statistical agreement with soil-moisture observations, these gains did not uniformly translate into improved behavior across all hydrologic processes. The soil-moisture calibrated model better reproduced soil surface wetting dynamics but exhibited biased low flow behavior and altered water-balance partitioning. This pattern illustrates a central concern raised in recent multi-objective calibration studies: improvements in fit to a particular variable may reflect parameter compensation rather than improved process representation (Gupta et al., 2009; Duethmann et al., 2022; Mei et al., 2023).</p>
      <p id="d2e2586">The multi-objective calibration provided more balanced results by simultaneously constraining streamflow and soil-moisture responses. Independent field-scale evaluation showed that this approach reduced both RMSE and bias across a wider range of soil-moisture conditions while preserving streamflow performance comparable to streamflow only calibration. These findings align with previous work showing that multi-objective approaches can reduce equifinality and improve internal consistency, even if individual hydrologic performance metrics do not increase dramatically (Rajib et al., 2016; Silvestro et al., 2015).</p>
      <p id="d2e2589">Crucially, this study reinforces the distinction between improved statistical fit and improved hydrologic realism. Gains in soil-moisture metrics alone should not be interpreted as evidence of improved system representation unless supported by independent evaluation and water balance diagnostics.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Parameter Behavior, Compensation, and Structural Model Constraints</title>
      <p id="d2e2600">Calibrated curve number (CN2) values distributed across topographic index (TI) classes reveal strongly heterogeneous runoff contributions consistent with saturation excess hydrology. TI class 1, which covers 56 % of the watershed, contributes only <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> % of total surface runoff on a per area basis, while TI class 3, representing just 6 % of the watershed, generates approximately 30 %. Such disproportional contributions are characteristic of saturation excess systems, where runoff is concentrated in low lying, convergent landscape positions receiving sustained subsurface moisture inputs from upslope areas (Dahlke et al., 2009; Easton et al., 2008; Lyon et al., 2004). In SWAT-VSA, this behavior is indirectly represented by redistributing CN2 values according to local storage deficit, linking runoff generation to terrain-controlled wetness patterns.</p>
      <p id="d2e2613">The surface runoff lag coefficient (SURLAG) was higher in the streamflow only calibration than in the other approaches; however, this had a negligible impact on runoff timing because the watershed time of concentration is less than 1.5 h. Differences among calibration strategies were more pronounced for evapotranspiration related parameters. The multi-objective calibration favored ESCO and EPCO values that increased water extraction from deeper soil layers, resulting in higher ET and reduced excess runoff. In contrast, the soil-moisture only calibration produced ESCO and EPCO values near unity that effectively compensated for one another, dampening vertical moisture redistribution and contributing to reduced ET.</p>
      <p id="d2e2616">Groundwater and baseflow parameters had little influence across all calibrations, with near zero percolation estimated, consistent with shallow soils and limited vertical drainage in saturation excess landscapes. Differences in calibrated parameter values highlight compensatory behavior: soil-moisture only calibration favored lower available water content (AWC) and ET, increasing simulated streamflow while improving surface soil-moisture fit but altering internal water balance partitioning.</p>
      <p id="d2e2619">These outcomes reflect structural constraints within SWAT-VSA and SWAT more broadly, which represent unsaturated flow using vertically lumped soil layers and do not explicitly simulate lateral redistribution of soil-moisture among HRUs (Rajib et al., 2016). In saturation excess systems, where downslope redistribution and hydrologic connectivity dominate wetness evolution, these simplifications limit the model's ability to translate improved surface soil-moisture fit into realistic subsurface fluxes and recession behavior (Easton et al., 2008; Lyon et al., 2004).</p>
      <p id="d2e2623">Multi-objective calibration mitigated these limitations by jointly constraining streamflow and soil-moisture, reducing extreme parameter combinations and dampening compensation effects. When combined with physically informed preprocessing, soil-moisture observations can complement streamflow data by constraining antecedent moisture conditions that govern runoff generation (Brocca et al., 2017; Wagner et al., 2007). Here, the event-based bias-correction approach likely improved the hydrologic relevance of the satellite soil-moisture signal, contributing to improved consistency in both soil-moisture and streamflow simulation (Bekele and Nicklow, 2007; Rajib et al., 2016).</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Parameter Uncertainty and Equifinality</title>
      <p id="d2e2635">While the previous section focused on how different calibration strategies alter parameter values and process behavior, this section examines how those strategies affect parameter uncertainty and equifinality.</p>
      <p id="d2e2638">Consistent with previous studies (Rajib and Merwade, 2016; Silvestro et al., 2015), parameter uncertainty was lowest under multi-objective calibration (Fig. 10), particularly for soil-water- and evapotranspiration-related parameters. Figure 10 shows that the range of acceptable values for AWC, Ksat, ESCO, and EPCO was substantially narrower under multi-objective calibration than under either streamflow-only or soil-moisture-only calibration. Figures A1–A4 in the Appendix provide additional diagnostics used to interpret model behavior beyond summary performance metrics. This reduced parameter spread indicates fewer equally acceptable parameter combinations and therefore reduced equifinality (Beven, 1993). By simultaneously constraining streamflow and soil-moisture dynamics, the multi-objective calibration more effectively restricted the feasible parameter space and improved confidence in parameters governing soil-water storage and vertical moisture redistribution. Together with the water-balance analysis, these results suggest that multi-objective calibration not only improved model performance but also reduced compensatory parameter behavior.</p>

      <fig id="F10"><label>Figure 10</label><caption><p id="d2e2643">Parameter uncertainty estimate derived from DEoptim calibration iterations for <bold>(a)</bold> streamflow only, <bold>(b)</bold> soil-moisture only and, <bold>(c)</bold> multi-objective calibration. The height of the boxplot demonstrates the range of different values the parameters took while yielding acceptable model performance. The values are calculated using the normalized uncertainty score from Kumar and Merwade (2009), where 0 and 100 represent the minimum and maximum parameter value as defined by the normalized calibration range.</p></caption>
          <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f10.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS6">
  <label>4.6</label><title>Implications for Small Saturation-Excess Watersheds</title>
      <p id="d2e2669">The results demonstrate that downscaled, empirically bias-corrected satellite soil-moisture data can improve internal hydrologic state estimation in small, saturation excess dominated watersheds when combined with a terrain-informed model structure. The SWAT-VSA framework, using TI based HRUs and TI-weighted field-scale evaluation, enables direct assessment of whether calibration improvements extend to management relevant scales (Easton et al., 2008; Asfaw et al., 2025).</p>
      <p id="d2e2672">At the same time, the findings underscore the need for caution. Soil-moisture only calibration can yield misleading improvements if evaluated solely on statistical metrics, particularly in models with simplified representations of unsaturated and lateral soil-moisture processes. Multi-objective calibration offers a more robust balance between surface wetness dynamics and integrated flow behavior, although its effectiveness remains dependent on watershed characteristics and model structure (Duethmann et al., 2022; Mei et al., 2023). While the added complexity of downscaling and multi-objective calibration is warranted in this small, saturation excess watershed, caution is needed in generalizing these findings to other settings or assuming that improved satellite soil-moisture fit automatically implies improved hydrologic realism.</p>
</sec>
<sec id="Ch1.S4.SS7">
  <label>4.7</label><title>Limitations</title>
      <p id="d2e2683">This study was conducted in a small (14.5 km<sup>2</sup>), saturation excess dominated watershed. While appropriate for evaluating soil-moisture driven calibration in terrain-controlled hydrologic systems, this limits the generalizability of the findings. In larger or more heterogeneous watersheds, greater spatial variability in precipitation, land use, soils, and hydrologic connectivity may influence both the downscaled soil-moisture behavior and the calibration performance. In particular, the event-based bias-correction approach applied here relies on watershed average effective precipitation and may not capture spatially variable wetting responses in more complex basins.</p>
      <p id="d2e2695">The applicability of the SWAT-VSA model is restricted to saturation excess runoff environments, where shallow soil storage deficits and topographic convergence largely control runoff generation. Watersheds dominated by infiltration excess processes, weak terrain control, or arid and semi-arid conditions may not benefit from the TI-based structure. Nonetheless, saturation excess processes are widespread in humid temperate regions of the United States (Buchanan et al., 2018) as well as globally, suggesting that this approach remains relevant to a broad class of headwater catchments.</p>
      <p id="d2e2698">The downscaled soil-moisture product underestimates peak wetness during high moisture periods. Although the bias-correction improves event scale responsiveness while preserving long-term temporal structure, it does not resolve underlying spatial or physical limitations of the satellite product. Consequently, the performance improvements should be interpreted as enhanced temporal constraint rather than complete correction of soil-moisture uncertainty. Furthermore, the relative contributions of the Enhanced SMAP product, machine-learning downscaling, and event-based bias-correction were not evaluated independently. Future work should compare calibration performance across these intermediate products to better quantify their individual contributions.</p>
      <p id="d2e2701">Overall, the findings should be interpreted within these constraints. Application of this framework beyond small, saturation excess watersheds will require careful consideration of watershed characteristics and evaluation across additional sites before broader inferences are made.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e2714">This study evaluated the utility of downscaled satellite soil-moisture data for calibrating a SWAT-VSA model in a small watershed for enhanced estimation of field-scale soil-moisture variability. The results show that leveraging downscaled satellite soil-moisture data substantially improves estimation of temporal variability of soil-moisture without deteriorating the model accuracy in streamflow estimation. Multi-objective calibration using both streamflow and soil-moisture data  improved soil-moisture performance and maintained streamflow performance comparable to streamflow-only calibration. Calibration based solely on soil-moisture led to improved soil-moisture performance with minimal declines in streamflow skill relative to streamflow-only calibration.</p>
      <p id="d2e2717">Machine learning based satellite soil-moisture downscaling, using the “mlrhsm” package in R, provided soil-moisture data of sufficient resolution and temporal fidelity to calibrate a high-resolution SWAT-VSA model in this watershed. Parameter uncertainty varied with calibration approach; soil parameters were better constrained with soil-moisture data, and streamflow parameters with streamflow data. Multi-objective calibration reduced parameter uncertainty. Long-term water balance estimates varied widely across the three calibration approaches, indicating the need for further evaluation, particularly using independent evapotranspiration measurements, to assess how soil-moisture constraints influence internal flux partitioning.</p>
      <p id="d2e2720">Overall, these findings highlight the potential of remotely sensed soil-moisture products to improve hydrologic model calibration, particularly in data-limited and ungauged basins. However, further evaluation is required in ungauged watersheds where no local soil-moisture or streamflow data are available for validation or qualitative assessment. Given their global coverage, satellite soil-moisture datasets offer a promising pathway for enhancing both streamflow and soil-moisture estimation when combined with terrain informed model structures and multi-objective calibration frameworks.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title/>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e2736">Flow duration curves comparing observed daily streamflow with simulations from the soil-moisture only (DSM), streamflow only (SF), and multi-objective (MO) calibration strategies. Differences among curves illustrate how calibration targets influence hydrologic realism: DSM captures surface wetting dynamics, but underestimates recession flows and high-flow peaks, whereas MO and SF better reproduce the observed distribution across both high-frequency (low flows) and low-frequency (peak flow) events.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f11.png"/>

      </fig>

      <fig id="FA2"><label>Figure A2</label><caption><p id="d2e2749">Time series of modeled surface soil-moisture (50 mm) from the three calibration approaches and DSM data; calibrated on DSM data (Modeled DSM), Multi-objective calibration using DSM data and streamflow (Modeled MO), calibrated on streamflow (Modeled SF).</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f12.png"/>

      </fig>

<fig id="FA3"><label>Figure A3</label><caption><p id="d2e2764">Full time series of model streamflow prediction performance calibration period <bold>(a)</bold> streamflow only (SF) calibration <bold>(b)</bold> soil-moisture only (DSM) calibration <bold>(c)</bold> multi-objective (MO) calibration.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f13.png"/>

      </fig>

<fig id="FA4"><label>Figure A4</label><caption><p id="d2e2787">Model streamflow prediction performance evaluation period <bold>(a)</bold> streamflow only (SF) calibration <bold>(b)</bold> soil-moisture only (DSM) calibration <bold>(c)</bold> multi-objective (MO) calibration.</p></caption>
        
        <graphic xlink:href="https://hess.copernicus.org/articles/30/5999/2026/hess-30-5999-2026-f14.png"/>

      </fig>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e2812">Soil-moisture data preprocessing and model integration.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="80pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="80pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="90pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="90pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="90pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Source</oasis:entry>
         <oasis:entry colname="col2" align="left">Nominal/effective depth represented</oasis:entry>
         <oasis:entry colname="col3" align="left">How we aggregate to watershed/field</oasis:entry>
         <oasis:entry colname="col4" align="left">Model layer used for comparison</oasis:entry>
         <oasis:entry colname="col5" align="left">Role in this study</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Downscaled satellite SM (mlhrsm from Enhanced SMAP)</oasis:entry>
         <oasis:entry colname="col2" align="left">Surface layer (0–50 mm)</oasis:entry>
         <oasis:entry colname="col3" align="left">Average all 500 m pixels intersecting the watershed to a daily watershed mean</oasis:entry>
         <oasis:entry colname="col4" align="left">0–50 mm SWAT layer</oasis:entry>
         <oasis:entry colname="col5" align="left">Calibration target in DSM and MO scenarios</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">SWAT-VSA model output</oasis:entry>
         <oasis:entry colname="col2" align="left">Discrete layers: 0–50 mm and 50–120 mm (plus standard deeper layers)</oasis:entry>
         <oasis:entry colname="col3" align="left">HRU outputs aggregated to watershed or field boundaries using TI-class/HRU area weights</oasis:entry>
         <oasis:entry colname="col4" align="left">0–50 mm (for satellite comparison); 0–50 mm <inline-formula><mml:math id="M95" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 50–120 mm composite = 0–120 mm (for field comparison)</oasis:entry>
         <oasis:entry colname="col5" align="left">Calibration (0–50 mm) and Evaluation (0–120 mm)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">In-situ TDR measurements (25 points)</oasis:entry>
         <oasis:entry colname="col2" align="left">0–120 mm (field sampling depth)</oasis:entry>
         <oasis:entry colname="col3" align="left">TI-class-weighted average across the 4.2 ha pasture to obtain a field-scale mean</oasis:entry>
         <oasis:entry colname="col4" align="left">0–120 mm model composite</oasis:entry>
         <oasis:entry colname="col5" align="left">Independent of model calibration, but used in Pareto solution selection</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2815">Note: The 0–50 mm equivalent designation for the satellite product is an operational alignment for comparability; it does not imply that the satellite directly senses 50 mm uniformly. The purpose is to avoid mismatched depths during calibration and to keep field-scale evaluation at the measured 0–120 mm depth.</p></table-wrap-foot></table-wrap>

</app>
  </app-group><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e2923">Code is available upon request.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e2929">The datasets used in this study are publicly available from their respective repositories. Persistent identifiers and formal dataset citations have been added to the reference list, including the ASCAT Soil Moisture Climate Data Record (<ext-link xlink:href="https://doi.org/10.15770/EUM_SAF_H_0009" ext-link-type="DOI">10.15770/EUM_SAF_H_0009</ext-link>, Eumesat, 2021), the TopoSWAT dataset (<ext-link xlink:href="https://doi.org/10.6084/m9.figshare.1342823.v4" ext-link-type="DOI">10.6084/m9.figshare.1342823.v4</ext-link>, Fuka and Easton, 2016), and the FAO Digital Soil Map of the World. SMAP soil moisture products were obtained from the NASA National Snow and Ice Data Center Distributed Active Archive Center (NSIDC DAAC, <ext-link xlink:href="https://doi.org/10.5067/ZX7YX2Y2LHEB" ext-link-type="DOI">10.5067/ZX7YX2Y2LHEB</ext-link>, <ext-link xlink:href="https://doi.org/10.5067/M20OXIZHY3RJ" ext-link-type="DOI">10.5067/M20OXIZHY3RJ</ext-link>, O'Neill et al., 2018, 2023).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2947">Binyam Workeye Asfaw: Conceptualization; data curation; formal analysis; investigation; methodology; visualization; writing – original draft; writing – review and editing. Siam Maksud: Data curation; writing – review and editing. Daniel R. Fuka: Conceptualization; methodology; writing – review and editing. Amy S. Collick: Methodology; writing-review and editing Robin R. White: Conceptualization; funding acquisition; project administration. Zachary M. Easton: Conceptualization; data curation; formal analysis; funding acquisition; project administration; writing – original draft; writing – review and editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2953">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e2961">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e2967">We acknowledge USDA CPS program for the financial support.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2973">This research has been supported by the National Institute of Food and Agriculture (grant no. 2021-67021-34769).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2979">This paper was edited by Roberto Greco and reviewed by Mikolaj Piniewski and two anonymous referees.</p>
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