<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">TC</journal-id><journal-title-group>
    <journal-title>The Cryosphere</journal-title>
    <abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1994-0424</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/tc-20-4537-2026</article-id><title-group><article-title>Using LIDAR and SNOTEL data for evaluating the performance of snow water equivalent retrieval using Sentinel-1 repeat-pass interferometry</article-title><alt-title>Using LIDAR and SNOTEL data</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Oveisgharan</surname><given-names>Shadi</given-names></name>
          <email>shadi.oveisgharan@jpl.nasa.gov</email>
        <ext-link>https://orcid.org/0009-0008-2559-0373</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Havazli</surname><given-names>Emre</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zinke</surname><given-names>Robert</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4174-3137</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Hoppinen</surname><given-names>Zachary</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0916-7774</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr, Pasadena, CA, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Boise State University, Department of Geosciences, 1295 University Drive, Boise, ID, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Shadi Oveisgharan (shadi.oveisgharan@jpl.nasa.gov)</corresp></author-notes><pub-date><day>20</day><month>August</month><year>2026</year></pub-date>
      
      <volume>20</volume>
      <issue>8</issue>
      <fpage>4537</fpage><lpage>4561</lpage>
      <history>
        <date date-type="received"><day>26</day><month>November</month><year>2025</year></date>
           <date date-type="rev-request"><day>19</day><month>December</month><year>2025</year></date>
           <date date-type="rev-recd"><day>21</day><month>July</month><year>2026</year></date>
           <date date-type="accepted"><day>22</day><month>July</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Shadi Oveisgharan 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://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026.html">This article is available from https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e115">Accurate estimation of snow water equivalent (SWE) at high spatial and temporal resolution remains a critical challenge for hydrologic prediction and climate monitoring. Interferometric Synthetic Aperture Radar (InSAR) provides a promising approach for retrieving SWE by exploiting phase changes induced by snow accumulation. In this study, we evaluate the performance of Sentinel-1 repeat-pass interferometry for SWE retrieval using airborne LIDAR snow depth data and in situ SNOTEL SWE observations across diverse snow climates in the western United States. While previous work demonstrated the feasibility of SWE retrieval using Sentinel-1 interferometry over limited sites, this study provides a systematic, multi-site evaluation across diverse snow and land-cover conditions to identify the key factors controlling retrieval performance. Using six-day Sentinel-1 acquisitions collected during the NASA SnowEx campaigns of 2020 and 2021, we compare retrieved SWE against independent datasets to quantify retrieval accuracy and assess the influence of environmental factors. Results show that retrievals using six-day repeat pass data yield strong agreement with LIDAR measurements, with Pearson correlation coefficients ranging from 0.42 to 0.66, while 12 d repeat pass data exhibit poor performance due to temporal decorrelation and phase ambiguity. Comparisons with SNOTEL SWE change indicate correlations up to 0.81 and RMSE as low as 0.78 cm. Analysis of retrieval drivers indicates that temporal coherence is a primary control on performance, with additional contributions from temperature, snow wetness, and vegetation cover. The influence of these parameters on temporal coherence is only partially consistent with their effect on SWE retrieval performance, highlighting the complex interplay among environmental and observational factors. Temporal coherence generally declines with increasing snow depth, slope, and temperature, but improves under dry, cold conditions and gentle terrain. These findings demonstrate that C-band Sentinel-1 InSAR can successfully retrieve SWE change under favorable conditions characterized by dry snow and sufficient coherence, and highlight the potential of current missions such as NASA–ISRO Synthetic Aperture Radar (NISAR) instead. to enable large-scale SWE monitoring.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Jet Propulsion Laboratory</funding-source>
<award-id>R&amp;TD 2023</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Aeronautics and Space Administration</funding-source>
<award-id>ROSES THP 2024</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="d2e127">Seasonal snowpacks serve as a critical component of the global water cycle, storing and releasing freshwater that supports billions of people worldwide <xref ref-type="bibr" rid="bib1.bibx4" id="paren.1"/>. In snow-dominated watersheds, snowmelt is the principal driver of streamflow and groundwater recharge <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx39" id="paren.2"/>, supplying water resources for more than one-sixth of the global population. However, rising temperatures are reducing the likelihood of snowfall in regions historically dominated by snow <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx42" id="paren.3"/>, shifting snow accumulation toward higher elevations and more poleward latitudes. This transition has already decreased the predictability of streamflow in many basins <xref ref-type="bibr" rid="bib1.bibx55" id="paren.4"/>.</p>
      <p id="d2e142">Accurately mapping SWE at large scales and high spatial resolution is therefore critical for hydrologic forecasting, water management, and climate assessment. SWE, defined as the depth of water obtained if the snowpack completely melts, has been identified as a key terrestrial variable in NASA’s Decadal Survey. Yet, obtaining SWE measurements with sufficient accuracy and resolution remains a persistent challenge. Ground-based networks, such as SNOTEL in the United States <xref ref-type="bibr" rid="bib1.bibx17" id="paren.5"/>, provide valuable time series of snow conditions but suffer from limited spatial coverage, elevation bias, and high local variability <xref ref-type="bibr" rid="bib1.bibx13" id="paren.6"/>. Passive microwave sensors, which estimate SWE from microwave emissions <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx28 bib1.bibx49 bib1.bibx27" id="paren.7"/>, supply long-term global records but at coarse spatial resolutions (tens of km) and tend to saturate for SWE values above about 150 mm, limiting their applicability in mountainous terrain. Although these systems remain the operational standard for global SWE retrievals, products such as GlobSnow omit mountainous areas because of these resolution and sensitivity constraints.</p>
      <p id="d2e154">Airborne LIDAR has proven effective for mapping snow depth at high spatial resolution <xref ref-type="bibr" rid="bib1.bibx48" id="paren.8"/>. However, its reliance on clear-sky conditions and limited spatial coverage restrict its ability to provide consistent regional or global observations. There is currently no viable path toward a spaceborne LIDAR system capable of providing global snow depth mapping at the temporal resolution needed for hydrologic applications.</p>
      <p id="d2e160">Active microwave sensors, in contrast, offer all-weather capability, high spatial resolution, and global coverage, enabling SWE estimation from spaceborne platforms <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx32 bib1.bibx33 bib1.bibx46 bib1.bibx34 bib1.bibx61 bib1.bibx62 bib1.bibx8 bib1.bibx38 bib1.bibx16 bib1.bibx10 bib1.bibx43 bib1.bibx15 bib1.bibx30 bib1.bibx36 bib1.bibx5" id="paren.9"/>. SWE can be retrieved from radar backscatter intensity, which is sensitive to snow depth and microstructure <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx59 bib1.bibx9 bib1.bibx44 bib1.bibx36" id="paren.10"/>.</p>
      <p id="d2e170">Dual-frequency (X- and Ku-band) SAR missions have been a major focus for future SWE retrieval efforts by the European Space Agency (ESA) and the Canadian Space Agency (CSA) <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx34" id="paren.11"/>. However, accurate SWE estimation from radar backscatter remains highly dependent on a priori knowledge of snow micro-structural parameters, particularly grain size <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx14 bib1.bibx9" id="paren.12"/>. Recently, the ratio of cross-polarized to co-polarized Sentinel-1 backscatter has been used to estimate snow depth in mountainous regions with deep snow <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx37" id="paren.13"/>. Nevertheless, the retrieval performance is not yet well quantified <xref ref-type="bibr" rid="bib1.bibx23" id="paren.14"/>.</p>
      <p id="d2e185">The phase change of specularly reflected radar signals from the snow–ground interface has been shown to depend strongly on variations in SWE for dry snow conditions <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx19 bib1.bibx53" id="paren.15"/>. In contrast, for wet snow, the phase center is typically located at the snow surface, and the observed phase change is primarily related to snow depth variations <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx62 bib1.bibx54" id="paren.16"/>. The underlying principle of this approach is analogous to repeat-pass interferometry, which forms the basis of the SWE retrieval method used in this study and is described in detail in Sect. <xref ref-type="sec" rid="Ch1.S2"/>. A key advantage of the interferometric approach is that SWE retrieval is largely insensitive to snowpack stratigraphy, permittivity changes, and layering <xref ref-type="bibr" rid="bib1.bibx61" id="paren.17"/>, and does not require prior knowledge of snow micro-structural properties.</p>
      <p id="d2e199">As detailed in the following sections, the interferometric phase difference between two SAR acquisitions is proportional to small variations in SWE (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>). Section <xref ref-type="sec" rid="Ch1.S2"/> outlines the retrieval methodology, while Sect. <xref ref-type="sec" rid="Ch1.S3"/> describes the datasets used in this analysis. In Sect. <xref ref-type="sec" rid="Ch1.S4"/>, we compare the retrieved SWE with coincident airborne LIDAR and in situ SNOTEL observations and assess the influence of environmental parameters on retrieval performance in Sect. <xref ref-type="sec" rid="Ch1.S5"/>. While <xref ref-type="bibr" rid="bib1.bibx47" id="text.18"/> established the feasibility of SWE retrieval using Sentinel-1 interferometry and demonstrated its performance over a limited number of sites, this study extends that work by providing a systematic, multi-site evaluation across diverse snow and land-cover conditions. In particular, we investigate the environmental and geophysical factors controlling retrieval performance, including temporal coherence, temperature, vegetation, and terrain, and validate the approach using a significantly larger set of LIDAR and in situ observations. This analysis provides new insight into where and under what conditions InSAR-based SWE retrieval is reliable, moving beyond proof-of-concept toward broader applicability. The methodology developed here is also directly applicable to the recently launched L- and S-band NASA–ISRO’s NISAR mission.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>SWE Retrieval Using Interferometric Phase</title>
      <p id="d2e232">Differential SAR interferometry has been widely used to detect centimeter- to millimeter-scale surface elevation changes across large areas <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx65" id="paren.19"/>. The measured interferometric phase difference is highly sensitive to small variations in SWE (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>) during the snow season <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx51 bib1.bibx11 bib1.bibx33 bib1.bibx8 bib1.bibx38 bib1.bibx24 bib1.bibx43 bib1.bibx16 bib1.bibx10 bib1.bibx41 bib1.bibx47 bib1.bibx22 bib1.bibx7 bib1.bibx53 bib1.bibx58" id="paren.20"/>. The technique offers a major advantage in its conceptual simplicity and reduced dependence on a priori snowpack parameters.</p>
      <p id="d2e251">For terrestrial snow, the contribution of volume scattering to the interferometric phase is minimal compared to the strong ground return at high radar frequencies such as C- and L-band. Changes in SWE primarily alter the path delay of the radar signal due to the snow’s refractive index. This delay can be quantified through differential interferometry, allowing <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> to be estimated directly from the interferometric phase change <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx33 bib1.bibx8 bib1.bibx38 bib1.bibx43" id="paren.21"/>. Similar to intensity-based retrieval approaches, this method requires dry snow conditions to ensure penetration to the ground surface.</p>
      <p id="d2e267">Retrieval performance can be further improved by combining interferometric phase with backscattered intensity to account for variations in surface roughness  <xref ref-type="bibr" rid="bib1.bibx10" id="paren.22"/>. Phase sensitivity to topographic gradients has also been used to help constrain unwrapping errors <xref ref-type="bibr" rid="bib1.bibx16" id="paren.23"/>. Although higher radar frequencies increase phase sensitivity to SWE changes, they also amplify decorrelation and unwrapping challenges <xref ref-type="bibr" rid="bib1.bibx5" id="paren.24"/>. Multi-frequency approaches can mitigate these issues, improving phase continuity at lower frequencies such as L-band <xref ref-type="bibr" rid="bib1.bibx5" id="paren.25"/>.</p>
      <p id="d2e282">Recent airborne and satellite experiments have validated the effectiveness of InSAR-based SWE retrieval. Airborne campaigns over the Austrian Alps showed agreement between InSAR-derived SWE and in situ observations, with RMS differences of 4.0 and 11.2 mm for snowstorms of 14 and 66 mm depth at C- and L-band, respectively <xref ref-type="bibr" rid="bib1.bibx43" id="paren.26"/>. Over Grand Mesa, Colorado, L-band UAVSAR <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> retrievals between 1–13 February 2020 correlated strongly with LIDAR-derived snow depth changes under dry conditions <xref ref-type="bibr" rid="bib1.bibx41" id="paren.27"/>. Similarly, Sentinel-1 interferometric data yielded a mean SWE accuracy of 6 mm over Finland from only two passes <xref ref-type="bibr" rid="bib1.bibx8" id="paren.28"/>. Comparisons between L-band InSAR SWE change and terrestrial LIDAR or GPR observations showed correlations of 0.72–0.79 and RMSE values of 19–22 mm <xref ref-type="bibr" rid="bib1.bibx7" id="paren.29"/>, with retrieval accuracy decreasing under dense forest cover <xref ref-type="bibr" rid="bib1.bibx6" id="paren.30"/>.</p>
      <p id="d2e312">These studies demonstrate the strong potential of InSAR for SWE estimation, though most were limited in spatial or temporal coverage. Oveisgharan et al. extended these findings by analyzing a long Sentinel-1 time series from winter 2021, validated against extensive in situ measurements and airborne LIDAR <xref ref-type="bibr" rid="bib1.bibx47" id="paren.31"/>. They reported a Pearson correlation greater than 0.47 between LIDAR-derived snow depth and retrieved SWE. The correlation and RMSE between retrieved SWE change and in situ station measurements were 0.8 and 0.93 cm, respectively. The main contributions of this study are: (1) a comprehensive multi-site validation of InSAR-based SWE retrieval using an expanded set of LIDAR and in situ observations, (2) a systematic analysis of environmental and geophysical factors controlling retrieval performance, and (3) identification of the conditions under which reliable SWE retrieval is achievable using C-band SAR data. With the launch of the NASA–ISRO SAR (NISAR) mission, further advances in understanding and operationalizing InSAR-based SWE retrieval are anticipated.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Retrieving <inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SWE Using Sentinel-1 Data</title>
      <p id="d2e333">As described in Sect. <xref ref-type="sec" rid="Ch1.S2"/>, interferometric phase measurements are used to estimate changes in snow water equivalent (SWE). Following the formulation in Oveisgharan et al., the SWE change between two Sentinel-1 acquisitions is expressed as <xref ref-type="bibr" rid="bib1.bibx47" id="paren.32"/>:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M6" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3385</mml:mn><mml:msup><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0486</mml:mn><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8647</mml:mn><mml:mo>)</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> denote the interferometric phase between two acquisition dates, the incidence wavenumber, SWE change, and the local incidence angle, respectively. The local incidence angle is computed by accounting for both the satellite viewing geometry and terrain topography (slope and aspect), thereby representing the angle between the radar line-of-sight and the local surface normal. Temporal coherence is generally low at C-band; however, the 6 d Sentinel-1 repeat cycle significantly improves coherence compared to the nominal 12 d repeat, particularly over snow-covered regions. Consequently, SWE retrievals were primarily performed for areas with available 6 d repeat data, as discussed in Sect. <xref ref-type="sec" rid="Ch1.S4"/>. Equation (<xref ref-type="disp-formula" rid="Ch1.E1"/>) is valid for dry-snow conditions <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx47" id="paren.33"/>. Near-surface air temperature exceeding <inline-formula><mml:math id="M9" display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula> °C was therefore used as an indicator of wet snow, where this assumption does not hold.</p>
      <p id="d2e441">A critical step in <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> estimation is selecting a suitable reference point for phase calibration. In InSAR-based geophysical studies, this point is typically a stable target with negligible or known displacement between acquisitions. Following <xref ref-type="bibr" rid="bib1.bibx47" id="text.34"/>, we used the average of one or two in situ <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> measurements exhibiting a correlation above 0.35 and subzero temperatures throughout the time series as the reference point for phase calibration <xref ref-type="bibr" rid="bib1.bibx47" id="paren.35"/>. Note that reference point selection does not affect comparisons between retrieved total SWE and LIDAR-derived snow depth, since it only introduces a constant phase offset across all dates, preserving spatial variability.</p>
      <p id="d2e470">Atmospheric phase delays were estimated using the European Center for Medium-Range Weather Forecasts (ECMWF) ERA5 reanalysis product, which provides hourly atmospheric variables on a 30 km global grid. The Python-based Atmospheric Phase Screen (PyAPS) tool <xref ref-type="bibr" rid="bib1.bibx25" id="paren.36"/> was used to interpolate these data and convert them into radar phase delays. PyAPS is integrated into the Miami InSAR Time-Series software in Python <xref ref-type="bibr" rid="bib1.bibx63" id="paren.37"/>, which was used to crop the delays to the interferogram extent and project them into the radar line-of-sight (LOS). Ionospheric errors at C-band are small relative to other uncertainty sources and were therefore considered negligible. Phase ambiguity for Sentinel-1 data ranges from approximately 1.5 to 3.5 cm, depending on incidence angle (Oveisgharan et al., 2024), making it one of the dominant error sources during large snowstorms associated with significant <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> .</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Temporal Coherence</title>
      <p id="d2e497">The coherence between two signals is computed as the magnitude of the normalized cross-correlation of two complex SAR images <xref ref-type="bibr" rid="bib1.bibx46" id="paren.38"/>. We use HH polarization Sentinel-1 complex data to calculate coherence. The radar signals acquired on two different dates remain correlated if the scattering elements within a resolution cell remain unchanged. In practice, however, temporal variations in scatterers – such as freeze/thaw, soil permittivity change, the movement of leaves, branches, or snow particles,   reduce this correlation, leading to temporal decorrelation <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx26 bib1.bibx31 bib1.bibx57 bib1.bibx45" id="paren.39"/>. Loss of temporal coherence is one of the principal limitations for SWE retrieval using differential interferometry, as discussed in Sect. <xref ref-type="sec" rid="Ch1.S5.SS1"/>.</p>
      <p id="d2e508">In snow-covered regions, melting and wind are the dominant drivers of temporal decorrelation <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx40" id="paren.40"/>. While soil moisture can influence temporal coherence, its impact is expected to be limited during the snow season, as the ground is typically frozen under dry-snow conditions. In situations where the ground is not frozen, the snowpack is likely to be wet, violating the assumptions required for InSAR-based SWE retrieval. Therefore, the effect of soil moisture on temporal coherence is considered negligible for the dry-snow conditions analyzed in this study.Temporal coherence also decreases with increasing radar frequency <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx43 bib1.bibx26 bib1.bibx53" id="paren.41"/>, making longer wavelengths such as L- and C-band more suitable for differential interferometric applications. Vegetation cover can further degrade temporal coherence, particularly at higher frequencies <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx26 bib1.bibx53" id="paren.42"/>. This is because higher frequencies (shorter wavelengths) are more sensitive to small-scale variations in the scattering medium, such as snow microstructure and vegetation elements. These small scatterers introduce phase variations within a resolution cell that change between acquisitions, leading to increased decorrelation. Ruiz et al. conducted tower-based fully polarimetric InSAR experiments at L-, S-, C-, and X-bands to assess the effects of air temperature, precipitation, and wind on temporal decorrelation, identifying temperature as the most influential variable <xref ref-type="bibr" rid="bib1.bibx53" id="paren.43"/>.</p>
      <p id="d2e523">The standard deviation of the SWE error due to total coherence can be derived using: 

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M13" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3385</mml:mn><mml:msup><mml:mi mathvariant="italic">θ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0486</mml:mn><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8647</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:msqrt><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>N</mml:mi></mml:mrow></mml:msqrt></mml:mfrac></mml:mstyle><mml:msqrt><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:msqrt></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>SWE</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the SWE uncertainty due to coherence, <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is total true coherence, <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the radar signal wavelength, and <inline-formula><mml:math id="M17" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the effective number of looks. This relationship is derived from the Cramér–Rao bound and is widely used in InSAR error analysis <xref ref-type="bibr" rid="bib1.bibx50" id="paren.44"/>.  We used effective looks of 43 for Sentinel-1 data to calculate the true correlation from measured correlation <xref ref-type="bibr" rid="bib1.bibx21" id="paren.45"/>. The temporal coherence is part of the total coherence. We use Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) in Sect. <xref ref-type="sec" rid="Ch1.S4"/> to calculate the uncertainty in retrieved SWE.</p>
      <p id="d2e663">In this study, we extend the temporal coherence analysis using a larger spatial and temporal dataset to evaluate the effects of multiple environmental and surface parameters on temporal coherence, as discussed in Sect. <xref ref-type="sec" rid="Ch1.S5"/>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Datasets</title>
      <p id="d2e677">As mentioned in Sect. <xref ref-type="sec" rid="Ch1.S2"/>, we use Sentinel-1 data to retrieve SWE. In order to evaluate the performance of our retrievals, we use available LIDAR snow depth and SWE from in-situ stations.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Sentinel-1</title>
      <p id="d2e689">Sentinel-1 is a C-band radar mission with four imaging modes, providing resolutions down to 5 m and swath widths up to 400 km. It offers dual polarization, a 12 d repeat cycle, and rapid data access, with products freely distributed through the Alaska Satellite Facility (ASF). Differential interferometric phase and coherence from VV and VH polarizations can be generated globally at 12 d intervals using ASF’s On-Demand Processing system. Interferometric processing is supported by the Hybrid Pluggable Processing Pipeline (HyP3), which applies topographic phase and geolocation corrections and employs the Minimum Cost Flow (MCF) algorithm for phase unwrapping. In this study, we employed the unwrapped phase and interferometric coherence derived from Sentinel-1 observations. The constellation consists of two satellites, each with a 12 d global repeat cycle; when operated in tandem, the effective revisit interval decreases to six days over selected regions, particularly across Europe.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e694">Imagery © Google Earth Pro, Map data © 2025 Google, <bold>(a)</bold> of Sentinel-1 frames (blue rectangles) and LIDAR data (red rectangles). <bold>(b)</bold> of Sentinel-1 frames (blue rectangles) with 6 hours revisit time and SNOTEL stations (purple diamonds).</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f01.jpg"/>

        </fig>

      <p id="d2e709">The NASA SnowEx2020 and 2021 Time Series represents a continuation of the multi-year initiative to advance snow water equivalent (SWE) measurement and estimation. Data acquisition during winter 2020 and 2021 included multiple sensors (e.g., radar and LIDAR) and in situ collections. As part of this effort, the SnowEx campaign collaborated with the Sentinel-1 team to obtain six-day revisit observations over selected sites throughout the winter season. The blue frames in Fig. <xref ref-type="fig" rid="F1"/>a show the geographic locations of Sentinel-1 data that cover the available LIDAR data in 2020 or 2021. The blue frames in Fig. <xref ref-type="fig" rid="F1"/>b show the geographic locations of all Sentinel-1 data with 6 d revisit time during the winter of 2020 and 2021 that cover more than 5 SNOTEL stations. Our analysis indicated that snow water equivalent (SWE) retrieval using Sentinel-1 data performs better with 6:00 am acquisitions compared to 6:00 pm data. Consequently, the majority of our study focuses on results derived from descending Sentinel-1 acquisitions collected at 6:00 am local time; however, a performance comparison between ascending (6:00 pm) and descending (6:00 am) data over two LIDAR sites is provided in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1.SSS2"/>.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>LIDAR</title>
      <p id="d2e726">Airborne LIDAR provides high-resolution snow depth maps and serves as a reliable source of validation data, offering a particularly strong constraint for InSAR-based retrieval of SWE. For this study, we surveyed all publicly available LIDAR datasets and selected those collected during the snow accumulation season. The “SnowEx20-21 QSI LIDAR DEM 0.5m” dataset, part of the SnowEx 2020 and 2021 campaigns, includes digital elevation models, snow depth, and vegetation height at 5 m spatial resolution <xref ref-type="bibr" rid="bib1.bibx1" id="paren.46"/>. To enable direct comparison with Sentinel-1-derived SWE, the LIDAR data were resampled to 80 m resolution. These data were acquired over sites in Colorado, Idaho, and Utah during February 2020, March 2021, and September 2021. In addition, the Airborne Snow Observatory (ASO) program has been operating since 2013, providing over a decade of high-resolution snow observations across the western United States. ASO products combine LIDAR, imaging spectrometry, and physically based modeling to generate snow depth and snow water equivalent estimates <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx48" id="paren.47"/>. The snow depth measurements have an accuracy of approximately 3 cm with a spatial resolution of 3 m. While early ASO campaigns focused on the melt season, current operations span a broader period from January through July, reflecting the importance of both accumulation and melt processes for water resource management. For this study, we used all publicly available ASO datasets collected between January and March. All ASO datasets included in Table <xref ref-type="table" rid="T1"/> were processed and provided by the ASO program.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e739">Imagery © Google Earth Pro, Map data © 2025 Google, of LIDAR scenes <bold>(a)</bold> Banner Summit, ID <bold>(b)</bold> Mores Creek, ID <bold>(c)</bold> Dry Creek, ID <bold>(d)</bold> Reynolds Creek, ID <bold>(e)</bold> Merced, CA <bold>(f)</bold> Tuolumne, CA <bold>(g)</bold> Fraser, CO <bold>(h)</bold> Little Cottonwood Canyon, UT <bold>(i)</bold> East River, CO <bold>(j)</bold> Taylor River, CO.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f02.jpg"/>

        </fig>

      <p id="d2e779">As mentioned LIDAR snow depth data is a very valuable dataset for validating our retrieved SWE. The red boxes in Fig. <xref ref-type="fig" rid="F1"/>a show the location of LIDAR data acquisition during the dry snow regions.</p>
      <p id="d2e785">Figure <xref ref-type="fig" rid="F2"/>a–j show the zoomed Google Earth View of LIDAR scenes, Banner Summit, ID (BS), Mores Creek, ID (MC), Dry Creek, ID (DC), Reynolds Creek, ID (RC), Merced, CA (ME), Tuolumne, CA (TU), Fraser, CO (FR), Little Cottonwood Canyon, UT (LC), East River, CO (ER), Taylor River, CO (TR), respectively.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e793">Information about LIDAR scenes used in this study. First column shows the site ID. The second column shows the company collecting the data. The third column shows the LIDAR acquisition date. Columns four and five show the revisit time and path/frame of Sentinel-1 time series covering the LIDAR scene, respectively. Last column show the correlation between LIDAR snow depth and retrieved SWE using Sentinel-1 data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Site ID</oasis:entry>
         <oasis:entry colname="col2">LIDAR</oasis:entry>
         <oasis:entry colname="col3">LIDAR Date</oasis:entry>
         <oasis:entry colname="col4">Sentinel-1 Revisit</oasis:entry>
         <oasis:entry colname="col5">Sentinel-1</oasis:entry>
         <oasis:entry colname="col6">Correlation</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sensor</oasis:entry>
         <oasis:entry colname="col3">(mm/dd/yyyy)</oasis:entry>
         <oasis:entry colname="col4">Time</oasis:entry>
         <oasis:entry colname="col5">Path/Frame</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">BS20</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">02/19/20</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">71/444</oasis:entry>
         <oasis:entry colname="col6">0.59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BS21</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">03/15/21</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">71/444</oasis:entry>
         <oasis:entry colname="col6">0.47</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BS21-18</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">03/15/21</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">93/140</oasis:entry>
         <oasis:entry colname="col6">0.38</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MC20</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">02/09/20</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">71/444</oasis:entry>
         <oasis:entry colname="col6">0.66</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MC21</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">03/15/21</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">71/444</oasis:entry>
         <oasis:entry colname="col6">0.59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MC21-18</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">03/15/21</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">93/140</oasis:entry>
         <oasis:entry colname="col6">0.43</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DC20</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">02/19/20</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">71/444</oasis:entry>
         <oasis:entry colname="col6">0.56</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RC20</oasis:entry>
         <oasis:entry colname="col2">ASO</oasis:entry>
         <oasis:entry colname="col3">02/18/20</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">71/450</oasis:entry>
         <oasis:entry colname="col6">0.44</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ME21</oasis:entry>
         <oasis:entry colname="col2">ASO</oasis:entry>
         <oasis:entry colname="col3">03/26/21</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">42/466</oasis:entry>
         <oasis:entry colname="col6">0.42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TU21</oasis:entry>
         <oasis:entry colname="col2">ASO</oasis:entry>
         <oasis:entry colname="col3">02/24/21</oasis:entry>
         <oasis:entry colname="col4">6 d</oasis:entry>
         <oasis:entry colname="col5">42/466</oasis:entry>
         <oasis:entry colname="col6">0.13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FR20</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">02/11/20</oasis:entry>
         <oasis:entry colname="col4">12 d</oasis:entry>
         <oasis:entry colname="col5">56/460</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M18" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.08</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LC21</oasis:entry>
         <oasis:entry colname="col2">QSI</oasis:entry>
         <oasis:entry colname="col3">03/18/21</oasis:entry>
         <oasis:entry colname="col4">12 d</oasis:entry>
         <oasis:entry colname="col5">100/456</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M19" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.04</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ER20</oasis:entry>
         <oasis:entry colname="col2">ASO</oasis:entry>
         <oasis:entry colname="col3">02/14/20</oasis:entry>
         <oasis:entry colname="col4">12 d</oasis:entry>
         <oasis:entry colname="col5">56/465</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M20" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TR20</oasis:entry>
         <oasis:entry colname="col2">ASO</oasis:entry>
         <oasis:entry colname="col3">02/20/20</oasis:entry>
         <oasis:entry colname="col4">12 d</oasis:entry>
         <oasis:entry colname="col5">56/465</oasis:entry>
         <oasis:entry colname="col6">0.08</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1190">Table <xref ref-type="table" rid="T1"/> summarizes all LIDAR scenes used in this study, consisting of data collected between January and March of 2020 and 2021. The first column lists the LIDAR site ID, followed by the data provider in the second column. The third column reports the date of LIDAR acquisition, while the fourth and fifth columns provide the revisit time and the corresponding Sentinel-1 path/frame information for the time series covering each LIDAR scene. The LIDAR data are subsequently used in Sects. <xref ref-type="sec" rid="Ch1.S4.SS1"/> and <xref ref-type="sec" rid="Ch1.S5.SS1"/> to evaluate the performance of SWE retrievals derived from Sentinel-1 observations.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>SNOTEL</title>
      <p id="d2e1207">The SNOwpack TELemetry (SNOTEL) network consists of stations located in remote, high-elevation mountain regions across the western United States. These stations automatically record a range of snowpack and meteorological variables. For this study, hourly SNOTEL observations were accessed through the United States Department of Agriculture (USDA) website <xref ref-type="bibr" rid="bib1.bibx60" id="paren.48"/>. Because we used descending Sentinel-1 acquisitions, collected at approximately 6 am local time, we extracted SNOTEL measurements of SWE, snow depth, and near-surface air temperature corresponding to that time. The locations of the SNOTEL stations are shown as purple diamonds in Fig. <xref ref-type="fig" rid="F1"/>b. Notably, during winter 2021, only three Sentinel-1 frames with 6 d repeat cycles covered more than five SNOTEL sites. These in situ measurements were employed for (a) establishing InSAR reference points (Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>), (b) evaluating the performance of SWE retrievals (Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>), and (c) analyzing the influence of environmental parameters on SWE retrieval accuracy (Sect. <xref ref-type="sec" rid="Ch1.S5.SS2"/>).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Performance of SWE Retrieval Using Sentinel-1 interferometric Phase</title>
      <p id="d2e1230">Unlike <xref ref-type="bibr" rid="bib1.bibx47" id="paren.49"/>, which focused on demonstrating the feasibility of SWE retrieval using Sentinel-1 interferometry over a limited number of sites, this section evaluates retrieval performance across a broader range of snow conditions and land-cover types to identify the key factors controlling retrieval accuracy. In this section, we assess the performance of SWE retrievals derived from Sentinel-1 data. Section <xref ref-type="sec" rid="Ch1.S4.SS1"/> presents a comparison with LIDAR snow depth measurements, while Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/> evaluates retrieval performance against SNOTEL <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> observations.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Comparing the Retrieved SWE with LIDAR data</title>
      <p id="d2e1257">As summarized in Table <xref ref-type="table" rid="T1"/> and illustrated in Figs. <xref ref-type="fig" rid="F1"/> and <xref ref-type="fig" rid="F2"/>, a total of 10 LIDAR scenes with snow depth measurements were available between January and March of 2020 and 2021. Among these, the Banner Summit (BS) and Mores Creek (MC) sites contain data for both years. For each LIDAR scene, we used the corresponding Sentinel-1 time series (path and frame information provided in Table <xref ref-type="table" rid="T1"/>, column 5) to retrieve <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> following the approach described in Sect. <xref ref-type="sec" rid="Ch1.S2"/>. Following <xref ref-type="bibr" rid="bib1.bibx47" id="text.50"/>, time-series-derived <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> was then used to estimate total SWE at the date closest to the LIDAR acquisition by

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M24" display="block"><mml:mrow><mml:mi mathvariant="normal">SWE</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:munderover><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the first Sentinel-1 data collected after December first of the corresponding winter and <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the closest Sentinel-1 date to LIDAR acquisition date. For simplicity, we assume the SWE at time <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is equal to zero. The assumption of zero SWE at <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may introduce a bias in the reconstructed total SWE in regions where early-season accumulation is present. However, this assumption primarily affects the absolute magnitude of SWE rather than its spatial variability. For example, based on in situ measurements distributed across the Sentinel-1 frame (p71, f444), the spatial standard deviation of SWE is approximately 5 cm at the beginning of December and increases to about 23 cm by the end of March. This indicates that early-season SWE exhibits relatively low spatial variability compared to peak winter conditions. Given that the LIDAR scenes cover a much smaller spatial extent (<inline-formula><mml:math id="M29" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 16 km <inline-formula><mml:math id="M30" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 15 km) within the larger Sentinel-1 frame (<inline-formula><mml:math id="M31" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula>240 km <inline-formula><mml:math id="M32" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 240 km), the spatial variability of SWE at the beginning of December is expected to be even smaller at the LIDAR scale. Therefore, neglecting the initial SWE mainly introduces an approximately constant offset in the reconstructed SWE and is not expected to significantly affect the spatial correlation with LIDAR snow depth. However, the reconstructed SWE values may be systematically biased low in absolute terms.</p>
      <p id="d2e1444">It is important to note that the Sentinel-1-based retrieval estimates SWE, whereas the LIDAR observations provide snow depth. As a result, the comparison between retrieved SWE and LIDAR snow depth is not strictly one-to-one. Although LIDAR snow depth could be converted to SWE using an assumed snow density, such a conversion would introduce additional uncertainty associated with density estimation. The correlation metric used here implicitly assumes a constant snow density across each scene. Despite this simplifying assumption, the results show reasonable agreement as seen in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>. This limitation should be considered when interpreting the comparisons. The effective density implied by the comparison between retrieved SWE and LIDAR snow depth is further evaluated in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1.SSS4"/>.</p>
      <p id="d2e1451">Another important consideration is the difference in spatial resolution and sampling geometry among the datasets. The Sentinel-1 products used in this study have an effective spatial resolution of approximately 80 m after multilooking, whereas the LIDAR data are available at 0.5 and 3 m resolution, and SNOTEL measurements represent point-scale observations. To improve consistency, the LIDAR data were spatially averaged to 80 m resolution prior to comparison. Nonetheless, residual differences in spatial representativeness remain. In addition, the observation geometries differ: Sentinel-1 is a side-looking system with look angles of approximately 29–46°, whereas LIDAR measures snow depth in the nadir direction. Consequently, the sampled snowpack, vegetation, and ground characteristics are not identical between the datasets. Spatial variability in snow properties, vegetation structure, and terrain within the 80 m comparison scale may further contribute to discrepancies. Terrain slope in complex topography can affect both LIDAR measurements and InSAR-derived SWE. For LIDAR, steep slopes may introduce sampling biases and noise in snow depth estimation, while for InSAR, slope influences the local incidence angle and the effective radar propagation path through the snowpack, thereby affecting the interferometric phase and the retrieved SWE. In addition, steep terrain can introduce radar-specific effects such as layover and shadow, which further degrade signal quality and coherence and can impact retrieval accuracy. Because the radar footprint is significantly larger than that of LIDAR, these effects can be more pronounced in the InSAR observations. A more rigorous treatment of slope effects, including explicit modeling of radar–snow interaction geometry, is beyond the scope of this study. However, the impact of slope is partially addressed by including terrain slope as one of the parameters in the retrieval performance analysis (Sect. <xref ref-type="sec" rid="Ch1.S5.SS1"/>). Its influence is also evident in the comparison between ascending and descending acquisitions discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1.SSS2"/>. These factors should be considered when interpreting validation results, as some observed differences or dependencies may arise from mismatches in measurement geometry and resolution rather than from retrieval performance alone.</p>
      <p id="d2e1458">To evaluate performance, the analysis was divided into two groups: LIDAR scenes covered by Sentinel-1 data with 6 d revisit intervals and those with 12 d revisit intervals. As shown in Table <xref ref-type="table" rid="T1"/>, eight scenes fall into the 6 d repeat group, while four scenes correspond to 12 d repeats.</p>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>Using 6 d Repeat Sentinel-1 Data</title>
      <p id="d2e1472">Figure <xref ref-type="fig" rid="F3"/>a1–h1 present LIDAR-derived snow depth for Banner Summit (18 February 2020 and 15 March 2021), Mores Creek (9 February 2020 and 19 March 2021), Dry Creek (19 February 2020), Reynolds Creek (23 February 2020), Merced (26 March 2021), and Tuolumne (27 February 2021). The corresponding retrieved total SWE, derived from Sentinel-1 6 d time series using Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>), is shown in Fig. <xref ref-type="fig" rid="F3"/>a2–h2. We refer to each LIDAR scene by site abbreviation and year (e.g., BS20 <inline-formula><mml:math id="M33" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Banner Summit 2020, MC21 <inline-formula><mml:math id="M34" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Mores Creek 2021). For each case, the Sentinel-1 acquisition date closest to the LIDAR survey date (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>) is indicated in the figure titles. Overall, the retrieved SWE fields show strong visual agreement with the LIDAR snow depth maps. The Pearson correlation coefficients between LIDAR snow depth and Sentinel-1-derived SWE, reported in the last column of Table <xref ref-type="table" rid="T1"/>, range from 0.42 to 0.66 across sites, with the exception of Tuolumne (TU).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1518">LIDAR total snow depth <bold>(a1–h1)</bold> for Banner Summit on 18 February 2020, Banner Summit on 15 March 2021, Mores Creek on 9 February 2020, Mores Creek on 19 March 2021, Dry Creek on 19 February 2020, Reynolds Creek on 23 February 2020, Merced on 26 March 2021, and Tuolumne on 27 February 2021, respectively. Images <bold>(a2–h2)</bold> show the total retrieved SWE using 6 d repeat Sentinel-1 time series data from 1 December to closest date to LIDAR date acquisition, respectively.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f03.jpg"/>

          </fig>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1536">SWE <bold>(a1–h1)</bold> and Temperature <bold>(a2–h2)</bold> for SNOTEL stations inside BS in 2020, BS in 2021, MC in 2020, MC in 2021, DC in 2020, RC in 2020, ME in 2021, and TU in 2021, respectively. The dashed vertical lines show the start date of Sentinel-1 observations.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f04.png"/>

          </fig>

      <p id="d2e1551">Within the LIDAR frames shown in Fig. <xref ref-type="fig" rid="F3"/>a1–h1, all scenes except Merced (Fig. <xref ref-type="fig" rid="F3"/>g1) contain at least one SNOTEL site. Figure <xref ref-type="fig" rid="F4"/>a1–h1 present the total SWE time series from these SNOTEL stations, beginning on December 1 of the corresponding winter. Figure <xref ref-type="fig" rid="F4"/>a2–h2 show the corresponding near-surface air temperature time series. The dashed vertical lines mark the start dates of each 6 d Sentinel-1 acquisition cycle. Notably, a data gap occurred on 5 February 2021, resulting in a missing six-day repeat acquisition.</p>
      <p id="d2e1562">The correlation between retrieved SWE and LIDAR snow depth varies across sites, with lower values observed for Reynolds Creek (RC) and Merced (ME) compared to Banner Summit (BS), Mores Creek (MC), and Dry Creek (DC). The correlation is particularly weak at Tuolumne (TU). As shown in Fig. <xref ref-type="fig" rid="F4"/>f1–f2, total SWE and SWE changes between Sentinel-1 acquisitions were minimal for RC20, while temperatures exceeded <inline-formula><mml:math id="M36" display="inline"><mml:mn mathvariant="normal">0</mml:mn></mml:math></inline-formula> °C on 25 d during the season before LIDAR acquisition date. The presence of wet snow and limited SWE variability degrades retrieval performance <xref ref-type="bibr" rid="bib1.bibx47" id="paren.51"/>, explaining the weaker correlation at RC20. Although Merced lacks a co-located SNOTEL site, it is geographically close to TU, and therefore SNOTEL data from the TU frame were used as a proxy. Between 1 December and the corresponding LIDAR acquisition dates, the number of days with above-freezing temperatures at SNOTEL stations was 0, 1, 4, 7, 10, 25, and 16 for BS20, BS21, MC20, MC21, DC20, RC20, and TU21, respectively. These higher temperatures and more frequent melt events in RC, ME, and TU contributed to the reduced correlations between Sentinel-1-derived SWE and LIDAR snow depth. A large snowstorm was also observed at TU, with an SWE increase of 8.89 cm between 22 and 28 January 2021 (acquisition 9). Although the overall correlation between retrieved SWE and LIDAR snow depth at TU21 was low (0.13), the correlation between LIDAR snow depth and retrieved <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> during this storm (acquisition 9) reached 0.6. This suggests that melt events during other periods were responsible for degrading retrieval performance at TU21.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>Using 6 am and 6pm Sentinel-1 Data</title>
      <p id="d2e1595">In this section, we compare SWE retrieval performance using Sentinel-1 acquisitions from 6 am (descending) and 6 pm (ascending) passes. Figure <xref ref-type="fig" rid="F5"/>a and c show the retrieved SWE using 6 am and 6 pm time series, respectively, up to the date closest to the LIDAR acquisition on 15 March 2021. The corresponding correlations with LIDAR snow depth (Table <xref ref-type="table" rid="T1"/>, rows 3 and 4) are 0.47 and 0.38, respectively. The 6 am retrieval shows a stronger spatial agreement with LIDAR, consistent with the higher correlation.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1604">Total retrieved SWE using 6 d repeat Sentinel-1 time series data for <bold>(a)</bold> 6 am and <bold>(c)</bold> 6 pm acquisitions, accumulated from December 1 to the date closest to the LIDAR acquisition over Banner Summit. <bold>(b)</bold> LIDAR-derived total snow depth on 15 March 2021. Mean Sentinel-1 temporal coherence for <bold>(d)</bold> 6 am and <bold>(f)</bold> 6 pm acquisitions. <bold>(e)</bold> Digital elevation model (DEM) of the Banner Summit study area.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f05.jpg"/>

          </fig>

      <p id="d2e1632">This improvement is likely due to more favorable snow conditions in the early morning. Lower temperatures reduce melt and maintain drier snow, which improves phase stability and retrieval accuracy. The mean temporal coherence for the 6 am and 6 pm datasets (Fig. <xref ref-type="fig" rid="F5"/>d and e) is 0.51 and 0.46, respectively, further supporting this observation.</p>
      <p id="d2e1638">However, spatial variations in coherence reveal a more nuanced behavior. In certain areas within the scene, temporal coherence is lower in the 6 am data but higher in the 6 pm data. In these regions, the retrieved SWE from the 6 pm acquisitions shows better agreement with LIDAR. As shown in Fig. <xref ref-type="fig" rid="F5"/>f, these regions correspond to slopes that face away from the satellite in the descending (6 am) geometry and toward the satellite in the ascending (6 pm) geometry. When slopes face away from the radar, backscatter is reduced, leading to lower signal-to-noise ratio (SNR), reduced coherence, and degraded retrieval performance.</p>
      <p id="d2e1643">These results highlight a trade-off between environmental conditions and imaging geometry. While morning acquisitions generally provide better conditions for SWE retrieval due to colder and drier snow, afternoon acquisitions can improve performance in areas with unfavorable viewing geometry in the morning.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1648">Total retrieved SWE using 6 d repeat Sentinel-1 time series data for <bold>(a)</bold> 6 am and <bold>(c)</bold> 6 pm acquisitions, accumulated from December 1 to the date closest to the LIDAR acquisition over Mores Creek. <bold>(b)</bold> LIDAR-derived total snow depth on 15 March 2021. Mean Sentinel-1 temporal coherence for <bold>(d)</bold> 6 am and <bold>(f)</bold> 6 pm acquisitions. <bold>(e)</bold> Digital elevation model (DEM) of the Banner Summit study area.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f06.jpg"/>

          </fig>

      <p id="d2e1676">Figure <xref ref-type="fig" rid="F6"/> presents the same comparison for the Mores Creek site on 15 March 2021. The correlation decreases from 0.59 (6 am) to 0.43 (6 pm), and the mean temporal coherence decreases from 0.42 to 0.37. Similar geometric effects are observed, with improved performance in areas facing the satellite during the afternoon pass. These findings suggest that combining ascending and descending acquisitions may improve SWE retrieval by compensating for spatial variations in coherence related to viewing geometry. Such fusion strategies should be considered in future work.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS3">
  <label>4.1.3</label><title>Using 12 d Repeat Sentinel-1 Data</title>
      <p id="d2e1690">Figure <xref ref-type="fig" rid="F7"/>a1–d1 present LIDAR-derived snow depth for Fraser (FR20, 11 February 2020), Little Cottonwood Canyon (LC21, 18 March 2021), East River (ER20, 14 February 2020), and Taylor River (TR20, 20 February 2020). The corresponding retrieved SWE, derived using Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) and Sentinel-1 12 d time series, is shown in Fig. <xref ref-type="fig" rid="F7"/>a2–d2. For each case, the Sentinel-1 acquisition date closest to the LIDAR survey (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>) is indicated in the figure titles. Unlike the 6 d repeat results, these scenes show little resemblance between LIDAR snow depth and Sentinel-1-derived SWE. The Pearson correlation coefficients range from <inline-formula><mml:math id="M39" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1 to 0.08, confirming that a 12 d revisit interval is too coarse for SWE retrieval using C-band Sentinel-1 data.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e1727">LIDAR total snow depth <bold>(a1–d1)</bold> for Fraser on 11 February 2020, Little Cottonwood Canyon on 21 March 2021, East River on 14 February 2020, and Taylor River on 11 March 2020. Images <bold>(a2–d2)</bold> show the total retrieved SWE using 12 d repeat Sentinel-1 time series data from 1 December to closest date to LIDAR date acquisition, respectively.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f07.jpg"/>

          </fig>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e1745">SWE <bold>(a1–d1)</bold> and Temperature <bold>(a2–h2)</bold> for SNOTEL stations inside FR in 2020, LC in 2021, ER in 2020, and TR in 2020, respectively. The dashed vertical lines show the start date of Sentinel-1 observations. In panels <bold>(d1)</bold> and <bold>(d2)</bold>, the red and blue curves represent two different SNOTEL stations within the TR20, whereas only a single station (blue curve) is available in the other panels.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f08.png"/>

          </fig>

      <p id="d2e1766">Figure <xref ref-type="fig" rid="F8"/>a1–d1 display the SNOTEL SWE time series within the LIDAR frames of Fig. <xref ref-type="fig" rid="F7"/>a1–d1, beginning December 1 of the corresponding winter. The associated near-surface temperature time series are shown in Fig. <xref ref-type="fig" rid="F8"/>a2–d2. Dashed vertical lines mark the start dates of each 12 d Sentinel-1 acquisition cycle. In panels (d1) and (d2), the red and blue curves represent two different SNOTEL stations within the scene, whereas only a single station (blue curve) is available in the other panels. The SNOTEL SWE and temperature records are later used in Sect. <xref ref-type="sec" rid="Ch1.S5.SS1.SSS1"/> to investigate the environmental factors influencing temporal coherence. The results (not shown here) indicate that temporal coherence degrades significantly at the 12 d revisit interval, rendering the data unreliable for SWE retrieval. This degradation arises from a combination of factors rather than a single dominant limitation. First, the longer temporal baseline increases decorrelation due to snowpack evolution, wind redistribution, and melt–freeze processes, which reduces the reliability of the interferometric phase. As discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1.SSS5"/>, low temporal coherence leads to a substantial increase in SWE retrieval uncertainty and degrades the performance of phase unwrapping algorithms. Second, the magnitude of SWE change between acquisitions is significantly larger for 12 d intervals compared to 6 d intervals (e.g., Fig. <xref ref-type="fig" rid="F8"/> versus Fig. <xref ref-type="fig" rid="F4"/>). For Sentinel-1, the SWE ambiguity corresponding to a <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:math></inline-formula> phase cycle ranges from approximately 1.5 to 3.5 cm depending on incidence angle. In many cases, the accumulated <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> over 12 d exceeds this ambiguity threshold, making phase unwrapping more challenging and increasing the likelihood of phase errors. While such ambiguities can sometimes be resolved using high-coherence reference areas combined with in situ constraints, the simultaneous presence of low coherence limits the effectiveness of these approaches. Finally, longer revisit intervals increase the probability of transient melt events and wet-snow conditions occurring between acquisitions, which violate the dry-snow assumption required for the interferometric SWE retrieval. In addition, the reduced number of acquisitions in a 12 d time series increases the relative weight of each interferogram in reconstructing total SWE, making the retrieval more sensitive to individual errors. Overall, the combination of increased temporal decorrelation, larger SWE changes relative to phase ambiguity, reduced phase unwrapping reliability, and a higher likelihood of wet-snow conditions makes SWE retrieval from 12 d Sentinel-1 data significantly more challenging. It is worth noting that upcoming missions such as NISAR, despite having a similar nominal 12 d repeat cycle, operate at longer wavelengths (L- and S-band), which are expected to maintain higher temporal coherence and provide larger SWE ambiguity thresholds (approximately 6–14 cm). These characteristics are anticipated to mitigate some of the limitations observed for C-band Sentinel-1 data.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS4">
  <label>4.1.4</label><title>Evaluating the Retrieved Snow Density</title>
      <p id="d2e1812">As discussed earlier, the strong correlation observed between LIDAR snow depth and retrieved SWE provides an important indication of retrieval performance. In that comparison, an implicit assumption is that a constant snow density (e.g., using the ratio of mean SWE to mean snow depth) can reasonably relate the two quantities. Here, we instead compute the ratio of retrieved SWE to LIDAR snow depth at each pixel as an estimate of the effective snow density. In this case, the comparison becomes internally consistent (i.e., the relationship between SWE and snow depth is directly enforced), and the objective is to assess whether the resulting density values fall within a physically realistic range. As noted earlier, LIDAR provides measurements of snow depth, whereas Sentinel-1-based retrieval yields SWE. An effective snow density can therefore be estimated as the ratio of retrieved SWE to LIDAR snow depth.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e1817">Banner Summit (2021): <bold>(a)</bold> in situ snow density time series; <bold>(b)</bold> ratio of Sentinel-1-retrieved SWE to LIDAR snow depth; <bold>(c)</bold> histogram of the ratio of Sentinel-1-retrieved SWE to LIDAR snow depth.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f09.jpg"/>

          </fig>

      <p id="d2e1835">As an example, we evaluate the effective snow density over Banner Summit in 2021, as shown in Fig. <xref ref-type="fig" rid="F9"/>. The results in Fig. <xref ref-type="fig" rid="F9"/>b and c indicate that the estimated densities fall within a reasonable range for terrestrial snow and are broadly consistent with the in situ snow density measurements during the snow snow season shown in Fig. <xref ref-type="fig" rid="F9"/>a. While the in situ measurements in Fig. <xref ref-type="fig" rid="F9"/>a show that snow density generally increases throughout the winter season as the snowpack compacts and metamorphoses, this temporal evolution should not be interpreted as a spatial relationship. At a given time, snow density is controlled by several factors, including snow history, wind redistribution, temperature, and metamorphism, and therefore does not necessarily increase with local snow depth. Consequently, it is difficult to assess the physical realism of the retrieved density map solely based on its spatial distribution. Nevertheless, the estimated snow densities provide two additional indications of the physical consistency of the retrieval. First, the distribution of the retrieved snow density, including its mean and standard deviation, is consistent with the range and variability observed in the in situ density measurements shown in Fig. <xref ref-type="fig" rid="F9"/>a. Second, the estimated density map exhibits a smooth and spatially coherent pattern rather than noisy pixel-to-pixel variations, despite being derived from two independent datasets (Sentinel-1 SWE and LIDAR snow depth). Comparison with the LIDAR snow depth map in Fig. <xref ref-type="fig" rid="F5"/>b further suggests that regions of deeper snow tend to correspond to slightly lower estimated densities. Although this pattern appears physically plausible for this site, a more rigorous assessment would require independent spatial measurements of snow density, which were not available for this study. Some high-density outliers are observed in Fig. <xref ref-type="fig" rid="F9"/>b (yellow regions) and also in the histogram in Fig. <xref ref-type="fig" rid="F9"/>c. Comparison with the mean temporal coherence shown in Fig. <xref ref-type="fig" rid="F5"/>d indicates that many of these areas correspond to regions of low temporal coherence, where the uncertainty in SWE retrieval is higher. This suggests that errors in low-coherence regions can lead to unrealistically high density estimates. Overall, the combination of strong correlation between retrieved SWE and LIDAR snow depth, together with physically reasonable estimates of snow density, supports the reliability of the SWE retrieval.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS5">
  <label>4.1.5</label><title>Evaluating the Uncertainty of Retrieved SWE for LIDAR</title>
      <p id="d2e1865">In this section, we assess the uncertainty in SWE retrieval derived from Sentinel-1 data. The analysis focuses on errors affecting the interferometric phase measurement and the resulting SWE estimates. Uncertainties associated with the phase-to-SWE conversion model are not considered here. In particular, factors such as snow wetness and temperature, which violate the dry-snow assumption underlying the retrieval model, are not evaluated, as they require a different physical framework. As noted earlier, the primary sources of error in Sentinel-1 phase measurements are temporal decorrelation and tropospheric delay. The total SWE shown in Fig. <xref ref-type="fig" rid="F3"/> is obtained by cumulatively summing SWE changes derived from the InSAR time series.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e1872">The estimated SWE change error (m) due to temporal coherence over Banner Summit between <bold>(a)</bold> 18 and 24 January 2021 <bold>(b)</bold> 13 and 19 December 2020 <bold>(c)</bold> 31 December 2020 and 6 January 2021.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f10.jpg"/>

          </fig>

      <p id="d2e1890">Figure <xref ref-type="fig" rid="F10"/>a–c illustrate the estimated SWE change error between two acquisition dates (indicated in the titles) due to temporal coherence over Banner Summit in 2021. The total error is computed as the root-sum-square of individual error contributions, following Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>). As temporal coherence decreases from Fig. <xref ref-type="fig" rid="F10"/>a to c, the uncertainty in SWE correspondingly increases. For relatively high coherence, the error is on the order of a few millimeters. In contrast, for very low coherence, the error increases dramatically, reaching values on the order of tens of meters, rendering the estimates unreliable. This behavior highlights that interferometric measurements with coherence below approximately 0.3 are not suitable for SWE retrieval. While the full time series is used here to reconstruct total SWE for comparison with LIDAR snow depth, future SWE change time series products should incorporate a quality flag based on coherence thresholds. Another important source of uncertainty arises from tropospheric delay. As described earlier, ERA5 atmospheric reanalysis product were used to correct for tropospheric effects. The residual tropospheric error is expected to be on the order of a few centimeters over the full Sentinel-1 scene (approximately 240 km <inline-formula><mml:math id="M42" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 240 km). Due to the spatial power spectrum of atmospheric variability <xref ref-type="bibr" rid="bib1.bibx2" id="paren.52"/>, the magnitude of this error decreases at smaller spatial scales and is expected to be less than 1 cm (0.3–0.5 cm) over the LIDAR scene (<inline-formula><mml:math id="M43" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 16 km <inline-formula><mml:math id="M44" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 15 km). However, the turbulence in the atmosphere can still introduce few cm of errors.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Comparing the Retrieved SWE Using Sentinel-1 with SNOTEL SWE</title>
      <p id="d2e1933">As described in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>, Sentinel-1 data were acquired every 6 d over three frames containing more than five SNOTEL sites (Fig. <xref ref-type="fig" rid="F1"/>b) during 2020 and 2021, coordinated between the SnowEx campaign and the Sentinel-1 team. For this analysis, we used 6 d repeat Sentinel-1 time series from 1 December 2020 to 30 March 2021.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e1942"><bold>(a1)</bold> SNOTEL SWE measurements (cm) for all stations in Sentinel-1 (p71, f444) starting December first to end of March. Different colors show the measurements for different SNOTEL stations. <bold>(a2)</bold> Mean of all SNOTEL temperature measurements (°C) in Sentinel-1 (p71, f444) starting December first to end of March. <bold>(a3)</bold> Mean of Sentinel-1 temporal coherence for (p71, f444) starting December first to end of March. <bold>(a4)</bold> Retrieved <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> vs SNOTEL <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> for (p71, f444) every 6 d starting December first to end of March. Panels <bold>(b1)</bold>–<bold>(b4)</bold> and <bold>(c1)</bold>–<bold>(c4)</bold> are the same as Panels <bold>(a1)</bold>–<bold>(a4)</bold>, but use Sentinel-1 data from (p71, f450) and (p42, f461), respectively.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f11.jpg"/>

        </fig>

      <p id="d2e2001">The left, middle, and right columns of Fig. <xref ref-type="fig" rid="F11"/> correspond to frames (p71, f444), (p71, f450), and (p42, f461), respectively. Figure <xref ref-type="fig" rid="F11"/>a1–c1 show SNOTEL SWE time series from 1 December 2020 to 31 March 2021 at 6:00 am for all stations within each frame, with different colors indicating individual SNOTEL sites. SWE increases relatively uniformly in (p71, f444), whereas sharp increases are observed in (p71, f450) and (p42, f461). Snowpack is also generally shallower in (p71, f450).</p>
      <p id="d2e2009">Figure <xref ref-type="fig" rid="F11"/>a2–c2 present the average near-surface temperature across SNOTEL stations in each frame. Among them, (p42, f461) is consistently warmer than (p71, f444) and (p71, f450). Figure <xref ref-type="fig" rid="F11"/>a3–c3 display the average Sentinel-1 temporal coherence time series, with black squares marking SNOTEL locations. Low-coherence regions align with snow-covered areas. Frame (p71, f450) exhibits higher coherence due to its shallower snowpack, while (p42, f461) shows lower coherence compared to (p71, f444).</p>
      <p id="d2e2016">Figure <xref ref-type="fig" rid="F11"/>a4–c4 compare retrieved <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> from Sentinel-1 time series with <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> from SNOTEL stations over the study period. It is important to note the differences in spatial resolution and sampling geometry between the datasets. The Sentinel-1 products used in this study have an effective spatial resolution of approximately 80 m after multilooking, whereas SNOTEL measurements represent point-scale observations. To reduce the impact of spatial heterogeneity and improve comparability, we further averaged Sentinel-1-derived SWE change over a 10 <inline-formula><mml:math id="M49" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 pixel window centered on each SNOTEL site, corresponding to an effective spatial resolution of approximately 800 m. This spatial averaging helps mitigate mismatches between point measurements and distributed estimates. The correlation coefficients are 0.81, 0.55, and 0.54 for frames (p71, f444), (p71, f450), and (p42, f461), respectively. The corresponding RMSE values are 0.78, 1.32, and 1.17 cm. The reduced performance in (p71, f450) and (p42, f461) is attributed to limited SWE change in the former and warmer temperatures in the latter.</p>
<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><title>Evaluating the Uncertainty of Retrieved SWE for SNOTEL Data</title>
      <p id="d2e2055">In this section, we assess the uncertainty in SWE retrieval derived from Sentinel-1 data at SNOTEL locations. Similar to the analysis in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1.SSS5"/>, Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) is used to estimate SWE change error due to temporal coherence. The analysis focuses on uncertainties associated with interferometric phase measurements and their propagation into SWE estimates, and does not include uncertainties related to the phase-to-SWE conversion model.</p>

      <fig id="F12"><label>Figure 12</label><caption><p id="d2e2064">Histogram of estimated SWE change error (cm) due to temporal coherence for all SNOTEL stations within frame (p81, f444) from December 2020 to March 2021.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f12.png"/>

          </fig>

      <p id="d2e2073">Figure <xref ref-type="fig" rid="F12"/> illustrates the histogram of estimated SWE change error due to temporal coherence for all SNOTEL stations within frame (p81, f444) from December 2020 to March 2021. The error magnitude is comparable to that shown in Fig. <xref ref-type="fig" rid="F10"/>a, corresponding to coherence mostly greater than 0.1. This is primarily because, for each in situ station, coherence is averaged over a 10 <inline-formula><mml:math id="M50" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 window. Combined with the multilooking applied to generate the 80 m resolution data (20 <inline-formula><mml:math id="M51" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4 looks), this averaging reduces noise and brings the measured coherence closer to the true coherence. As a result, very low coherence values (e.g., below 0.1) are rarely observed at SNOTEL locations. Consequently, SWE change estimates at in situ stations exhibit lower uncertainty compared to pixel-wise estimates evaluated against LIDAR data. For future SWE change time series products, the inclusion of a quality flag based on coherence thresholds is recommended. Another important source of uncertainty is tropospheric delay. After correction using ERA5 atmospheric reanalysis data, the residual tropospheric error is expected to be on the order of a few centimeters over the full Sentinel-1 scene (approximately 240 km <inline-formula><mml:math id="M52" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 240 km). Since SNOTEL stations are distributed across the entire frame, stations located farther from the reference point may experience larger residual errors. Based on the spatial power spectrum of atmospheric variability <xref ref-type="bibr" rid="bib1.bibx2" id="paren.53"/>, the residual tropospheric error is expected to range from near zero up to a few centimeters (approximately 0.7–1.5 cm), depending on the distance from the reference point. In addition, small-scale atmospheric turbulence may introduce further variability on the order of a few centimeters at individual stations. Therefore, for SNOTEL-based SWE change estimates, tropospheric delay is likely the dominant source of uncertainty.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Impact of Different Parameters on SWE Retrieval</title>
      <p id="d2e2116">While previous work <xref ref-type="bibr" rid="bib1.bibx47" id="paren.54"/> established the capability of InSAR to retrieve SWE, it did not systematically assess the environmental and geophysical controls on retrieval performance. Here, we extend that work by analyzing how factors such as temporal coherence, temperature, vegetation, and terrain influence retrieval accuracy across multiple sites. As demonstrated in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/> and <xref ref-type="sec" rid="Ch1.S4.SS2"/>, the correlation between Sentinel-1-retrieved SWE or <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> and validation datasets (LIDAR snow depth or SNOTEL <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>) varies across sites. In this section, we investigate the key factors influencing these correlations.</p>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Impact of Different Parameters on Retrieved SWE Using LIDAR Data</title>
      <p id="d2e2153">In this section, we assess how various parameters influence the performance of SWE retrieval from Sentinel-1 by comparing retrieved SWE against LIDAR snow depth. This analysis builds on the limited LIDAR validation presented in <xref ref-type="bibr" rid="bib1.bibx47" id="paren.55"/> by incorporating a larger number of LIDAR scenes across diverse environments, enabling a more comprehensive assessment of retrieval performance and its controlling factors. Performance is quantified using the correlation between the two datasets. The last column of Table <xref ref-type="table" rid="T1"/> reports the correlation for each LIDAR scene over the entire image. To further investigate, we partition the data according to specific parameters and recompute the correlations.</p>

      <fig id="F13" specific-use="star"><label>Figure 13</label><caption><p id="d2e2163"><bold>(a)</bold> Correlation between retrieved SWE using Sentinel-1 data and LIDAR snow depth versus average of Sentinel-1 temporal coherence. <bold>(b)</bold> Correlation between LIDAR snow depth and retrieved total SWE using Sentinel-1 on a specific observation date versus observation number. Different colors show the different LIDAR scenes.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f13.png"/>

        </fig>

      <p id="d2e2177">Figure <xref ref-type="fig" rid="F13"/>a shows the relationship between correlation and mean Sentinel-1 temporal coherence (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">temp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for sites with available 6 d repeat acquisitions. Different colors represent different LIDAR sites. As seen in the figure, the correlation generally increases with higher temporal coherence across most sites, with the exception of RC20. For example, in BS21 the overall correlation between retrieved SWE and LIDAR snow depth is 0.47 for the entire image, but ranges from <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> at low coherence to <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">temp</mml:mi></mml:msub><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>. This pattern is consistent across most scenes, underscoring the critical role of temporal coherence in SWE retrieval: higher coherence enables more reliable phase measurements and, consequently, more accurate retrievals. At the same time, the presence of exceptions indicates that temporal coherence alone does not fully explain retrieval performance, and that additional environmental and observational factors must also be considered. Therefore, temporal coherence is used here as a primary metric for evaluating retrieval quality, while its interaction with other controlling parameters is examined in Sect. <xref ref-type="sec" rid="Ch1.S5.SS1.SSS1"/>. Although TU21 exhibits a low overall correlation (0.13), Fig. <xref ref-type="fig" rid="F13"/>a (blue dashed line) shows that correlation still rises to <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> in regions with higher temporal coherence. This demonstrates that reliable retrieval is possible even in generally low-performing sites when coherence is sufficiently high. However, because TU21 has low overall coherence across the scene, we exclude it from the parameter impact analysis. The exception is RC20, where temporal coherence does not improve retrieval performance. As discussed previously, this is likely due to frequent melt events and overall low SWE, which degrade retrieval accuracy despite coherence levels.</p>
      <p id="d2e2244">Figure <xref ref-type="fig" rid="F13"/>b illustrates the correlation between retrieved SWE time series and LIDAR snow depth at the end of the time series. In most sites, correlations are relatively low early in the snow season but increase steadily, reaching near-maximum values between mid-January and early February, and attaining their highest values at the end of the time series. The fact that maximum correlation occurs at the LIDAR acquisition date indicates that the relationship is not random; rather, the correlation strengthens as the retrieval approaches the validation date. This trend also suggests that the primary spatial pattern of snow accumulation is largely established by February.</p>

      <fig id="F14" specific-use="star"><label>Figure 14</label><caption><p id="d2e2251">Correlation between retrieved SWE using Sentinel-1 data and LIDAR snow depth versus <bold>(a)</bold> snow depth <bold>(b)</bold> vegetation height <bold>(c)</bold> ground topography <bold>(d)</bold> ground slope <bold>(e)</bold> ground aspect. Different colors show the different LIDAR scenes.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f14.png"/>

        </fig>

      <p id="d2e2275">Figure <xref ref-type="fig" rid="F14"/>a–e illustrate the influence of snow depth, vegetation height, ground topography, slope, and aspect on the correlation between retrieved SWE and LIDAR snow depth. Different colors represent different LIDAR sites. Vegetation height is derived from the QSI LIDAR dataset, which provides co-registered measurements of vegetation structure and snow depth. Elevation is obtained from the Copernicus DEM (GLO-30), used within the ASF HyP3 processing workflow, with a spatial resolution of 30 m. Terrain slope and aspect are calculated from this DEM. All parameters are subsequently aggregated to match the 80 m spatial resolution of the multilooked Sentinel-1 data used in this analysis. Vegetation height data are only available for the QSI LIDAR products. As shown in Fig. <xref ref-type="fig" rid="F14"/>a, total snow depth has little effect on retrieval performance. In contrast, Fig. <xref ref-type="fig" rid="F14"/>b demonstrates that correlation decreases with increasing vegetation height, likely because vegetation obscures the snowpack and reduces retrieval accuracy. However, retrievals may remain reliable even in areas with tall vegetation, possibly due to canopy gaps or snow accumulation on top of the canopy. Correlation tends to increase with ground elevation within each site (Fig. <xref ref-type="fig" rid="F14"/>c). However, this relationship is local rather than global; there is no specific elevation threshold beyond which performance improves uniformly. Instead, within a given site, higher elevations generally correspond to colder conditions, leading to drier snow and thus more reliable retrieval. As shown in Fig. <xref ref-type="fig" rid="F14"/>d, correlation generally decreases with increasing ground slope, except in RC20 and ME21. Steeper slopes are expected to promote snow displacement, reducing temporal coherence and retrieval performance. However, RC20 and ME21 have relatively shallow snowpacks, which may limit downslope snow movement and explain the lack of slope dependence. Figure <xref ref-type="fig" rid="F14"/>e shows that correlation is highest (except in RC20 and ME21) for aspect angles near <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mn mathvariant="normal">90</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>, corresponding to east-facing slopes. A possible explanation is that these slopes receive solar radiation earlier in the day, when temperatures are lower, thereby minimizing melt compared to west-facing slopes that receive afternoon sunlight under warmer conditions. In addition, as discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1.SSS2"/>, observation geometry also contributes to this pattern. East-facing slopes tend to face toward the right-looking descending Sentinel-1 acquisition (6 am), resulting in higher backscatter, signal-to-noise ratio and improved temporal coherence. The combination of favorable viewing geometry and colder, drier snow conditions leads to improved SWE retrieval performance over east-facing slopes. In contrast, RC20 and ME21 exhibit consistently low correlations across all aspect angles, consistent with their shallow snowpack and warmer conditions.</p>
<sec id="Ch1.S5.SS1.SSS1">
  <label>5.1.1</label><title>Impact of Different Parameters on INSAR Temporal Coherence Using LIDAR Data</title>
      <p id="d2e2310">As discussed in Sect. <xref ref-type="sec" rid="Ch1.S5.SS1"/>, temporal coherence plays a critical role in SWE retrieval. To further investigate this, we evaluate the influence of different environmental parameters on temporal coherence over the LIDAR scenes. Since retrieval performance is very poor with 12 d repeat Sentinel-1 data, Sect. <xref ref-type="sec" rid="Ch1.S5.SS1"/> considered only 6 d repeat acquisitions. Here, we assess parameter impacts separately for 6 and 12 d repeat data.</p>

      <fig id="F15" specific-use="star"><label>Figure 15</label><caption><p id="d2e2319">Average of Sentinel-1 temporal coherence versus <bold>(a)</bold> snow depth <bold>(b)</bold> vegetation height <bold>(c)</bold> ground topography <bold>(d)</bold> ground slope <bold>(e)</bold> ground aspect. Different colors show the different LIDAR scenes.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f15.png"/>

          </fig>

      <p id="d2e2343">Figure <xref ref-type="fig" rid="F15"/>a–e illustrates the effects of snow depth, vegetation height, elevation, slope, and aspect on Sentinel-1 temporal coherence, with different colors representing different LIDAR sites. The Sentinel-1 temporal coherence values shown in Fig. <xref ref-type="fig" rid="F15"/>a–e are derived from 6 d repeat acquisitions. As shown in Fig. <xref ref-type="fig" rid="F15"/>a, increasing snow depth generally reduces temporal coherence, except at the MC site. Deeper snow typically introduces more movement and structural change, lowering coherence. The anomalous behavior at MC remains unexplained. Notably, snow depth influences temporal coherence, whereas it showed little effect on correlation with LIDAR in Fig. <xref ref-type="fig" rid="F14"/>a.</p>
      <p id="d2e2355">Figure <xref ref-type="fig" rid="F15"/>b shows that temporal coherence decreases with increasing vegetation height, likely due to motion of leaves and branches. The impact of vegetation is stronger for temporal coherence than for correlation (cf. Fig. <xref ref-type="fig" rid="F14"/>b). Temporal coherence also tends to decrease with elevation within individual sites (Fig. <xref ref-type="fig" rid="F15"/>c). This relationship is site-specific rather than global: higher elevations often correspond to greater snow depth variability and wind exposure, which reduce coherence. Interestingly, topography exerts opposite effects on correlation and temporal coherence (Figs. <xref ref-type="fig" rid="F14"/>c and <xref ref-type="fig" rid="F15"/>c): higher elevations improve retrieval accuracy (drier snow) but reduce temporal coherence (increased snow depth change and wind).</p>
      <p id="d2e2368">As shown in Fig. <xref ref-type="fig" rid="F15"/>d, coherence generally decreases with slope, consistent with the expectation that steeper terrain promotes snow displacement and reduces stability. RC20 and ME21 are exceptions, likely due to their shallow snowpacks, which limit slope-induced snow movement.</p>
      <p id="d2e2373">Aspect also plays an important role (Fig. <xref ref-type="fig" rid="F15"/>e). Coherence is generally highest (except in ME21 and TU21) for east-facing slopes (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) and lowest for west-facing slopes (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">270</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>). A possible explanation is that east-facing slopes receive solar radiation earlier in the day, under colder conditions, which reduces melt and preserves temporal coherence compared to west-facing slopes that experience warmer afternoon temperatures. In addition to these environmental effects, observation geometry also contributes to the observed pattern. For descending (6 am) Sentinel-1 acquisitions, east-facing slopes are oriented toward the radar line of sight, resulting in higher backscattered signal-to-noise ratio and consequently higher measured coherence. In contrast, west-facing slopes are more likely to face away from the sensor, leading to reduced backscatter and lower coherence. By contrast, ME21 and TU21 show the opposite pattern, with higher coherence on west-facing slopes, possibly due to site-specific wind conditions or local geometry effects.</p>

      <fig id="F16" specific-use="star"><label>Figure 16</label><caption><p id="d2e2404">Average of Sentinel-1 temporal coherence versus <bold>(a)</bold> snow depth <bold>(b)</bold> ground topography <bold>(c)</bold> ground slope <bold>(d)</bold> ground aspect. Different colors show the different LIDAR scenes.</p></caption>
            <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f16.png"/>

          </fig>

      <p id="d2e2425">Figure <xref ref-type="fig" rid="F16"/>a–d illustrates the influence of snow depth, elevation, slope, and aspect on Sentinel-1 temporal coherence using 12 d repeat data. The overall parameter dependencies are consistent with those observed for the 6 d repeat case (Fig. <xref ref-type="fig" rid="F15"/>). However, coherence values are systematically lower for 12 d intervals, indicating that longer revisit times degrade temporal coherence even though the relative effects of the parameters remain similar.</p>
</sec>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Impact of Different Parameters on Retrieved SWE Using SNOTEL Data</title>
      <p id="d2e2441">In this section, we examine how different parameters affect the correlation between Sentinel-1-retrieved and SNOTEL <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> using 6 d repeat acquisitions. We also assess the influence of these parameters on Sentinel-1 temporal coherence. In contrast to the site-specific validation in <xref ref-type="bibr" rid="bib1.bibx47" id="paren.56"/>, this section leverages multi-site SNOTEL time series to investigate how environmental variability affects SWE retrieval performance and temporal coherence.</p>

      <fig id="F17" specific-use="star"><label>Figure 17</label><caption><p id="d2e2459">Correlation between retrieved <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> using Sentinel-1 data and SNOTEL <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> versus <bold>(a)</bold> Sentinel-1 temporal coherence <bold>(b)</bold> Temperature (°C) <bold>(c)</bold> <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f17.png"/>

        </fig>

      <p id="d2e2508">Figure <xref ref-type="fig" rid="F17"/>a–c illustrate the effects of temporal coherence, temperature, and <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> on the correlation between retrieved and SNOTEL <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>, with different colors representing individual Sentinel-1 frames. For each frame in Fig. 1b, we use the full time series of parameters and calculate the correlation for each subcategory. For example, in Fig. <xref ref-type="fig" rid="F1"/>b the correlation between retrieved and SNOTEL <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> is about 0.9 for all SNOTEL observations within the temperature range <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> °C in (p71, f444).</p>
      <p id="d2e2567">Figure <xref ref-type="fig" rid="F17"/>a shows that the correlation between retrieved and SNOTEL <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> increases with temporal coherence for (p71, f444), but decreases for (p71, f450) and (p42, f461). This behavior differs from the more consistent positive relationship observed between temporal coherence and performance in the LIDAR-based analysis (Fig. <xref ref-type="fig" rid="F13"/>a), where higher coherence generally leads to improved agreement. It is important to distinguish between the two validation approaches used in this study, as they assess different aspects of retrieval performance. The SNOTEL-based analysis evaluates SWE change (<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>) between individual interferometric acquisitions, and therefore reflects the temporal performance of the retrieval at specific time intervals. In contrast, the LIDAR-based analysis compares total retrieved SWE with total LIDAR-derived snow depth at a given date, which effectively integrates SWE changes over time and represents an aggregate measure of performance. As a result, the two approaches differ in their sensitivity to errors. In the LIDAR comparison, total SWE is obtained by summing <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> over time. Any error in the reference point used for phase calibration propagates as a constant offset in the reconstructed total SWE. Such an offset does not affect spatial correlation with LIDAR snow depth, which primarily reflects the similarity of spatial patterns. In contrast, the SNOTEL-based analysis compares <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> across multiple dates, and is therefore more sensitive to reference point errors and temporal noise. For example, estimating a small <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> for large <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula> can significantly affect correlation with SNOTEL measurements, whereas in the LIDAR comparison the same error would contribute only a constant bias with no on spatial correlation. More broadly, the LIDAR-based analysis evaluates “spatial” correlation of “total SWE”, while the SNOTEL-based analysis evaluates “spatio-temporal” correlation of “SWE change”. Consequently, the relationship between temporal coherence and retrieval performance differs between the two approaches. In the LIDAR comparison, higher average temporal coherence over the time series generally leads to improved performance, as it reflects more reliable phase measurements accumulated over time. In the SNOTEL analysis, however, the relationship is more complex. High temporal coherence often occurs during periods of small <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>, when retrieval performance is inherently more sensitive to noise and may degrade despite favorable coherence conditions. Therefore, the LIDAR-based analysis captures the integrated, average behavior of the retrieval, while the SNOTEL-based analysis reveals the instantaneous performance and its dependence on temporal variability. Together, these complementary perspectives provide a more complete understanding of the factors controlling SWE retrieval performance. If a temporally consistent LIDAR time series were available, co-registered with the InSAR acquisitions, the comparison would become more analogous to the SNOTEL-based analysis, as both would involve evaluating SWE and snow depth changes between acquisition dates and their dependence on temporal coherence. In that case, the relationship between coherence and retrieval performance would be expected to follow similar behavior to that observed in the SNOTEL comparison.</p>
      <p id="d2e2645">As expected, higher temperatures reduce retrieval performance, as shown in Fig. <xref ref-type="fig" rid="F17"/>b. Warmer conditions promote melt, which lowers the correlation between retrieved and SNOTEL <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>, consistent with the behavior reported in <xref ref-type="bibr" rid="bib1.bibx53" id="paren.57"/>. In contrast, the magnitude of SWE change does not significantly impact correlation, as shown in Fig. <xref ref-type="fig" rid="F17"/>c.</p>

      <fig id="F18" specific-use="star"><label>Figure 18</label><caption><p id="d2e2667">Average of Sentinel-1 temporal coherence versus <bold>(a)</bold> temperature (°C) <bold>(b)</bold> <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <graphic xlink:href="https://tc.copernicus.org/articles/20/4537/2026/tc-20-4537-2026-f18.png"/>

        </fig>

      <p id="d2e2692">We also evaluate the influence of temperature and SWE change on temporal coherence using SNOTEL data. Figures <xref ref-type="fig" rid="F18"/>a and 13b show that temporal coherence decreases with increasing temperature and with larger <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SWE</mml:mi></mml:mrow></mml:math></inline-formula>. Higher temperatures make the snow wetter and increase snow particle motion, reducing coherence. Similarly, larger SWE changes are often accompanied by strong winds and substantial modifications to the scattering medium, which also degrade temporal coherence. This study moves beyond demonstrating the feasibility of InSAR-based SWE retrieval by providing a systematic evaluation of its performance across varying environmental conditions. The results identify the dominant controls on retrieval accuracy and define the conditions under which the method is reliable, which are critical steps toward operational SWE monitoring using current and future SAR missions.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e2716">This study evaluated the performance of Sentinel-1 repeat-pass interferometry for estimating snow water equivalent (SWE) across multiple SnowEx sites using coincident airborne LIDAR and SNOTEL datasets.</p>
      <p id="d2e2719">While previous work demonstrated the feasibility of SWE retrieval using Sentinel-1 interferometry, this study provides the first comprehensive, multi-site evaluation of retrieval performance and its controlling factors. By quantifying the roles of temporal coherence, temperature, vegetation, and terrain, we establish the conditions under which InSAR-based SWE retrieval is reliable, representing a key step toward large-scale and operational applications. These results also provide a foundation for quality assurance (QA) in future SWE products by identifying the key parameters that control retrieval reliability and uncertainty. Results confirm that the 6 d Sentinel-1 acquisitions coordinated with the SnowEx campaign substantially enhance temporal coherence and improve SWE retrieval performance relative to the standard 12 d repeat. The correlation between Sentinel-1-retrieved SWE and LIDAR snow depth ranges from 0.42 to 0.66 across sites, with the strongest agreement observed in cold, dry regions exhibiting stable snowpacks. Similarly, correlations between retrieved and SNOTEL SWE change reach 0.81, with corresponding RMSE values below 1 cm. Our analysis suggests that temporal coherence is one of the primary factors influencing retrieval accuracy. Coherence decreases with increasing snow depth, slope, vegetation height, temperature, and SWE change, indicating that snow metamorphism, melt events, and surface motion are primary sources of decorrelation. Reliable retrievals are achieved primarily under cold, dry-snow conditions and in relatively flat, sparsely vegetated terrain. While 12 d revisit intervals result in severe coherence loss, the 6 d repeat provides sufficient temporal stability for C-band SWE retrieval in many mountain environments. In contrast, longer wavelengths such as L-band are intrinsically less sensitive to small-scale scattering changes and therefore maintain higher temporal coherence over longer revisit intervals. As a result, missions such as NISAR are expected to enable robust SWE retrieval despite a 12 d repeat cycle, while also benefiting from reduced phase ambiguity. These findings validate the feasibility of C-band InSAR for quantitative SWE mapping and provide insight into the environmental and observational constraints governing retrieval performance. The framework and analyses developed here directly inform the application of upcoming L- and S-band missions such as NISAR, which will extend InSAR-based SWE retrievals to global scales with improved coherence and temporal sampling.</p>
</sec>

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

      <p id="d2e2726">InSAR time-series inversion and tropospheric corrections were performed using MintPy <xref ref-type="bibr" rid="bib1.bibx63" id="paren.58"/>, which is publicly available at <uri>https://github.com/insarlab/MintPy</uri> (last access: November 2025). The software implementing the algorithms used to calculate SWE from InSAR phase and the analyses presented in this study were performed using MATLAB software developed by the authors. To facilitate reproducibility and broader community use, we are currently preparing a documented Python/Jupyter Notebook implementation of the workflow. The software is being made publicly available as the snowsar package through Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.21924919" ext-link-type="DOI">10.5281/zenodo.21924919</ext-link> <xref ref-type="bibr" rid="bib1.bibx20" id="paren.59"/>. The repository will be updated as the Python implementation is completed. The MATLAB implementation used in this study is available from the corresponding author upon request.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e2744">The Sentinel-1 data are publicly available through the Alaska SAR Facility (ASF) or the Copernicus Data Hub distribution service. The SNOTEL data are free and available at the United States Department of Agriculture (USDA) website <xref ref-type="bibr" rid="bib1.bibx60" id="paren.60"/>. Finally, we collect the lidar data from the National Snow and Ice Data Center (<ext-link xlink:href="https://doi.org/10.5067/VBUN16K365DG" ext-link-type="DOI">10.5067/VBUN16K365DG</ext-link>, <xref ref-type="bibr" rid="bib1.bibx1" id="altparen.61"/>) and Airborne Snow Observatories (<uri>https://ava.airbornesnowobservatories.com</uri>, last access: November 2025).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2762">SO conceptualized the study and processed the Sentinel-1 data using HyP3. EH applied the atmospheric corrections, and RZ assisted with atmospheric removal for two Sentinel-1 frames early in the project. ZH conducted initial performance analyses of the SWE retrievals using the Banner Summit LIDAR dataset. SO performed the full analysis and evaluated the SWE retrieval performance statistics. EH contributed valuable discussions and feedback throughout the study.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2768">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="d2e2774">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="d2e2780">The  research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration (80NM0018D0004). During the preparation of this work the authors used (ChatGPT, OpenAI) in order to help improve the clarity and readability of parts of this manuscript. After using this tool/service, the authors reviewed and edited the content as needed and take full responsibility for the content of the publication.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2785">This research has been supported by the Jet Propulsion Laboratory (grant no. R&amp;TD 2023) and the National Aeronautics and Space Administration, NASA Headquarters (grant no. ROSES THP 2024).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2792">This paper was edited by Alexandre Langlois and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Adebisi et al.(2022)Adebisi, Marshall, Vuyovich, Elder, Hiemstra, and Durand</label><mixed-citation>Adebisi, N., Marshall, H., Vuyovich, C. M., Elder, K., Hiemstra, C., and Durand, M.: SnowEx20-21 QSI Lidar Snow Depth 0.5m UTM Grid, Version 1, NASA National Snow and Ice Data Center Distributed Active Archive Center [data set], <ext-link xlink:href="https://doi.org/10.5067/VBUN16K365DG" ext-link-type="DOI">10.5067/VBUN16K365DG</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Agnew(1992)</label><mixed-citation> Agnew, D.: The time-domain behavior of power-law noises, Geophys. Res. Lett., 19, 333–336, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Baduge et al.(2016)Baduge, Henschel, Hobbs, Buehler, Ekman, and Lehrbass</label><mixed-citation> Baduge, A. W. A., Henschel, M. D., Hobbs, S., Buehler, S. A., Ekman, J., and Lehrbass, B.: Seasonal variation of coherence in SAR interferograms in Kiruna, Northern Sweden, Int. J. Remote Sens., 37, 370–387, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Barnett et al.(2005)Barnett, Adam, and Lettenmaier</label><mixed-citation> Barnett, T., Adam, J., and Lettenmaier, D.: Potential impacts of a warming climate on water availability in snow-dominated regions, Nature, 438, 303–309, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Belinska et al.(2024)Belinska, Fischer, Parrella, and Hajnsek</label><mixed-citation> Belinska, K., Fischer, G., Parrella, G., and Hajnsek, I.: The Potential of Multifrequency Spaceborne DInSAR Measurements for the Retrieval of Snow Water Equivalent, IEEE J. Sel. Top. Appl., 17, 2950–2962, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Bonnell et al.(2024a)Bonnell, Elder, McGrath, Marshall, Starr, Adebisi, Palomaki, and Hoppinen</label><mixed-citation>Bonnell, R., Elder, K., McGrath, D., Marshall, H. P., Starr, B., Adebisi, N., Palomaki, R. T., and Hoppinen, Z.: L‐band InSAR Snow Water Equivalent Retrieval Uncertainty Increases With Forest Cover Fraction, Geophys. Res. Lett., 51, <ext-link xlink:href="https://doi.org/10.1029/2024GL111708" ext-link-type="DOI">10.1029/2024GL111708</ext-link>, 2024a.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Bonnell et al.(2024b)Bonnell, McGrath, Tarricone, Marshall, Bump, Duncan, Kampf, Lou, Olsen-Mikitowicz, Sears, Williams, Zeller, and Zheng</label><mixed-citation>Bonnell, R., McGrath, D., Tarricone, J., Marshall, H.-P., Bump, E., Duncan, C., Kampf, S., Lou, Y., Olsen-Mikitowicz, A., Sears, M., Williams, K., Zeller, L., and Zheng, Y.: Evaluating L-band InSAR snow water equivalent retrievals with repeat ground-penetrating radar and terrestrial lidar surveys in northern Colorado, The Cryosphere, 18, 3765–3785, <ext-link xlink:href="https://doi.org/10.5194/tc-18-3765-2024" ext-link-type="DOI">10.5194/tc-18-3765-2024</ext-link>, 2024b.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Conde et al.(2019)Conde, Nico, Mateus, Catalão, Kontu, and Gritsevich</label><mixed-citation> Conde, V., Nico, G., Mateus, P., Catalão, J., Kontu, A., and Gritsevich, M.: On the estimation of temporal changes of snow water equivalent by spaceborne SAR interferometry: a new application for the Sentinel-1 mission, J. Hydrol. Hydromech., 67, 93–100, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Cui et al.(2016)Cui, Xiong, Lemmetyinen, Shi, Jiang, Peng, Li, Zhao, Ji, and Hu</label><mixed-citation>Cui, Y., Xiong, C., Lemmetyinen, J., Shi, J., Jiang, L., Peng, B., Li, H., Zhao, T., Ji, D., and Hu, T.: Estimating Snow Water Equivalent with Backscattering at X and Ku Band on Absorption Loss, Remote Sensing, 8, <ext-link xlink:href="https://doi.org/10.3390/rs8060505" ext-link-type="DOI">10.3390/rs8060505</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Dagurov et al.(2020)Dagurov, Chimitdorzhiev, Dmitriev, and Dobrynin</label><mixed-citation>Dagurov, P., Chimitdorzhiev, T., Dmitriev, A., and Dobrynin, S.: Estimation of snow water equivalent from L-band radar interferometry: simulation and experiment, Int. J. Remote Sens., 41, <ext-link xlink:href="https://doi.org/10.1080/01431161.2020.1798551" ext-link-type="DOI">10.1080/01431161.2020.1798551</ext-link>,  2020.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Deeb et al.(2011)Deeb, Forster, and Kane</label><mixed-citation> Deeb, E. J., Forster, R. R., and Kane, D. L.: Monitoring snowpack evolution using interferometric synthetic aperture radar on the North Slope of Alaska, Int. J. Remote Sens., 32, 3985–4003, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Deems et al.(2013)DEEMS, PAINTER, and FINNEGAN</label><mixed-citation> Deems, J. S., Painter, T. H., and Finnegan, D. C.: Lidar measurement of snow depth: a review, J. Glaciol., 59, 467–479, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Dozier et al.(2016)Dozier, Bair, and Davis</label><mixed-citation> Dozier, J., Bair, E. H., and Davis, R. E.: Estimating the spatial distribution of snow water equivalent in the world’s mountains, WIREs Water, 3, 461–474, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Durand and Liu(2012)</label><mixed-citation> Durand, M. and Liu, D.: The need for prior information in characterizing snow water equivalent from microwave brightness temperatures, Remote Sens. Environ., 126, 248–257, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Engen et al.(2004)Engen, Guneriussen, and Overrein</label><mixed-citation> Engen, G., Guneriussen, T., and Overrein, Y.: Delta-K interferometric SAR technique for snow water equivalent (SWE) retrieval, IEEE Geosci. Remote Sensing Letters, 1, 57–61, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Eppler et al.(2022)Eppler, Rabus, and Morse</label><mixed-citation> Eppler, J., Rabus, B., and Morse, P.: Snow water equivalent change mapping from slope-correlated synthetic aperture radar interferometry (InSAR) phase variations, The Cryosphere, 16, 1497–1521, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Fleming et al.(2023)Fleming, Zukiewicz, Strobel, Hofman, and Goodbody</label><mixed-citation> Fleming, S. W., Zukiewicz, L., Strobel, M. L., Hofman, H., and Goodbody, G. G.: SNOTEL, the soil climate analysis network, and water supply forecasting at the natural resources conservation service: Past, present, and future, JAWRA: Journal of the American Water Resource Association, 59, 585–599, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Gabriel et al.(1989)Gabriel, Goldstein, and Zebker</label><mixed-citation> Gabriel, A. K., Goldstein, R. M., and Zebker, H. A.: Mapping small elevation changes over large areas: Differential radar interferometry, Journal of Geophysical Research, 94, 9183–9191, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Guneriussen et al.(2001)Guneriussen, Hogda, Johnsen, and Lauknes</label><mixed-citation> Guneriussen, T., Hogda, K. A., Johnsen, H., and Lauknes, I.: InSAR for estimation of changes in snow water equivalent of dry snow, IEEE T. Geosci. Remote, 39, 2101–2108, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Havazli(2026)</label><mixed-citation>Havazli, E.: ehavazli/snowsar: v0.1.1, Zenodo [software], <ext-link xlink:href="https://doi.org/10.5281/zenodo.21924919" ext-link-type="DOI">10.5281/zenodo.21924919</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Hoen and Zebker(2000)</label><mixed-citation> Hoen, W. and Zebker, H.: Penetration Depths Inferred from Interferometric Volume Decorrelation Observed over the Greenland Ice Sheet, IEEE Transactions on Geosci. Remote, 38, 2571–2583, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Hoppinen et al.(2024a)Hoppinen, Oveisgharan, Marshall, Mower, Elder, and Vuyovich</label><mixed-citation> Hoppinen, Z., Oveisgharan, S., Marshall, H. P., Mower, R., Elder, K., and Vuyovich, C.: Snow water equivalent retrieval over Idaho—Part 2: Using L-band UAVSAR repeat-pass interferometry, The Cryosphere, 18, 575–592, 2024a.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Hoppinen et al.(2024b)Hoppinen, Palomaki, Brencher, Dunmire, Gagliano, Marziliano, Tarricone, and Marshall</label><mixed-citation> Hoppinen, Z., Palomaki, R. T., Brencher, G., Dunmire, D., Gagliano, E., Marziliano, A., Tarricone, J., and Marshall, H.-P.: Evaluating snow depth retrievals from Sentinel-1 volume scattering over NASA SnowEx sites, The Cryosphere, 18, 5407–5430, 2024b.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Hui et al.(2016)Hui, Pengfeng, Xuezhi, Guangjun, and Zuo</label><mixed-citation> Hui, L., Pengfeng, X., Xuezhi, F., Guangjun, H., and Zuo, W.: Monitoring Snow Depth And Its Change Using Repeat-Pass Interferometric SAR In Manas River Basin, IEEE International Geosci. Remote Symposium, pp. 4936–4939, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Jolivet et al.(2011)Jolivet, Grandin, Lasserre, Doin, and Peltzer</label><mixed-citation> Jolivet, R., Grandin, R., Lasserre, C., Doin, M., and Peltzer, G.: Systematic InSAR tropospheric phase delay corrections from global meteorological reanalysis data, Geophys. Res. Lett., 38, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Kellndorfer et al.(2022)Kellndorfer, Cartus, Lavalle, Magnard, Milillo, Oveisgharan, Osmanoglu, Rosen, and Wegmüller</label><mixed-citation> Kellndorfer, J., Cartus, O., Lavalle, M., Magnard, C., Milillo, P., Oveisgharan, S., Osmanoglu, B., Rosen, P. A., and Wegmüller, U.: Global seasonal Sentinel-1 interferometric coherence and backscatter data set, Scientific Data, 9, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Kelly(2009)</label><mixed-citation> Kelly, R.: The AMSR-E Snow depth algorithm: Description and initial results, Journal of The Remote Sensing Society of Japan, 29, 307–317, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Kelly et al.(2003)Kelly, Chang, Tsang, and Foster</label><mixed-citation> Kelly, R. E., Chang, A. T., Tsang, L., and Foster, J. L.: A prototype AMSR-E global snow area and snow depth algorithm, IEEE Transactions on Geoscience and Remote Sensing, 41, 230–242, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Klos et al.(2014)Klos, Link, and Abatzoglou</label><mixed-citation> Klos, P. Z., Link, T. E., and Abatzoglou, J. T.: Extent of the rain-snow transition zone in the western US under historic and projected climate, Geophys. Res. Lett., 41, 4560–4568, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Larsen et al.(2005)Larsen, Malnes, and Engen</label><mixed-citation> Larsen, Y., Malnes, E., and Engen, G.: Retrieval of snow water equivalent with envisat ASAR in a Norwegian hydropower catchment, IEEE International Geosci. Remote Symposium, 8, 5444–5447, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Lavalle et al.(2012)Lavalle, Simard, and Hensley</label><mixed-citation> Lavalle, M., Simard, M., and Hensley, S.: A Temporal Decorrelation Model for Polarimetric Radar Interferometers, IEEE Transactions on Geoscience and Remote Sensing, 50, 2880–2888, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Leinss et al.(2014)Leinss, Parrella, and Hajnsek</label><mixed-citation> Leinss, S., Parrella, G., and Hajnsek, I.: Snow Height Determination by Polarimetric Phase Differences in X-band SAR Data, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 7, 3794–3810, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Leinss et al.(2015)Leinss, Wiesmann, Lemmetyinen, and Hajnsek</label><mixed-citation> Leinss, S., Wiesmann, A., Lemmetyinen, J., and Hajnsek, I.: Snow Water Equivalent of Dry Snow Measured by Differential Interferometry, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 8, 3773–3790, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Lemmetyinen et al.(2018)Lemmetyinen, Derksen, Rott, Macelloni, King, Schneebeli, Wiesmann, Leppanen, Kontu, and Pulliainen</label><mixed-citation> Lemmetyinen, J., Derksen, C., Rott, H., Macelloni, G., King, J., Schneebeli, M., Wiesmann, A., Leppanen, L., Kontu, A., and Pulliainen, J.: Retrieval of Effective Correlation Length and Snow Water Equivalent from Radar and Passive Microwave Measurements, Remote Sensing, 10, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Li et al.(2017)Li, Wrzesien, Durand, Adam, and Lettenmaier</label><mixed-citation> Li, D., Wrzesien, M. L., Durand, M., Adam, J., and Lettenmaier, D. P.: How much runoff originates as snow in the western United States, and how will that change in the future?, Geophys. Res. Lett., 44, 6163–6172, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Lievens et al.(2019)Lievens, Demuzere, Marshall, Reichle, Brucker, Brangers, de Rosnay, Dumont, Girotto, Immerzeel, Jonas, Kim, Koch, Marty, Saloranta, Schöber, and Lannoy</label><mixed-citation> Lievens, H., Demuzere, M., Marshall, H.-P., Reichle, R. H., Brucker, L., Brangers, I., de Rosnay, P., Dumont, M., Girotto, M., Immerzeel, W. W., Jonas, T., Kim, E. J., Koch, I., Marty, C., Saloranta, T., Schöber, J., and Lannoy, G. J. D.: Snow depth variability in the Northern Hemisphere mountains observed from space, Nature Communications, 10, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Lievens et al.(2022)Lievens, Brangers, Marshall, Jonas, Olefs, and DeLannoy</label><mixed-citation> Lievens, H., Brangers, I., Marshall, H.-P., Jonas, T., Olefs, M., and DeLannoy, G.: Sentinel-1 snow depth retrieval at sub-kilometer resolution over the European Alps, The Cryosphere, 16, 159–177, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Liu et al.(2017)Liu, Li, Yang, Chen, and Hao</label><mixed-citation> Liu, Y., Li, L., Yang, J., Chen, X., and Hao, J.: Estimating Snow Depth Using Multi-Source Data Fusion Based on the D-InSAR Method and 3DVAR Fusion Algorithm, Remote Sensing, 9, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Lorenzi et al.(2024)Lorenzi, Banzato, Barberio, Goepper, Goldscheider, Gori, Lacchini, Manetta, Medici, Rusi, and Petitta</label><mixed-citation> Lorenzi, V., Banzato, F., Barberio, M., Goepper, N., Goldscheider, N., Gori, F., Lacchini, A., Manetta, M., Medici, G., Rusi, S., and Petitta, M.: Tracking flowpaths in a complex karst system through tracer test and hydrogeochemical monitoring: Implications for groundwater protection (Gran Sasso, Italy), Heliyon, 10, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Luzi et al.(2009)Luzi, Noferini, Mecatti, Macaluso, Pieraccini, Atzeni, Schaffhauser, Fromm, and Nagler</label><mixed-citation> Luzi, G., Noferini, L., Mecatti, D., Macaluso, G., Pieraccini, M., Atzeni, C., Schaffhauser, A., Fromm, R., and Nagler, T.: Using a ground-based SAR interferometer and a terrestrial laser scanner to monitor a snow-covered slope: Results from an experimental data collection in Tyrol, IEEE Transactions on Geosci. Remote, 47, 382–393, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Marshall et al.(2021)Marshall, Deeb, Forster, Vuyovich, Elder, Hiemstra, and Lund</label><mixed-citation> Marshall, H., Deeb, E., Forster, R., Vuyovich, C., Elder, K., Hiemstra, C., and Lund, J.: L-band InSAR Depth Retrieval During the NASA SnowEX 2020 Campaign: Grnad Mesa, Colorado, IEEE International Geosci. Remote Symposium, pp. 625–627, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>McCrystall et al.(2021)McCrystall, Stroeve, Serreze, Forbes, and Screen</label><mixed-citation> McCrystall, M. R., Stroeve, J., Serreze, M., Forbes, B. C., and Screen, J. A.: New climate models reveal faster and larger increases in Arctic precipitation than previously projected, Nature Communications, 12, 1216–1228, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Nagler et al.(2022)Nagler, Rott, Scheiblauer, Libert, Mölg, Horn, Fischer, Keller, Moreira, and Kubanek</label><mixed-citation> Nagler, T., Rott, H., Scheiblauer, S., Libert, L., Mölg, N., Horn, R., Fischer, J., Keller, M., Moreira, A., and Kubanek, J.: Airborne Experiment on InSAR Snow Mass Retrieval in Alpine Environment, IEEE International Geosci. Remote Symposium, pp. 4549–4552, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Nghiem and Tsai(2001)</label><mixed-citation> Nghiem, S. V. and Tsai, W. Y.: Global snow cover monitoring with spaceborne Ku:band scatterometer, IEEE T. Geosci. Remote, 39, 2118–2134, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Ouaadi et al.(2024)Ouaadi, Jarlan, Villard, Chakir, Khabba, Fanise, Kasbani, Rafi, Dantec, Ezzahar, and Frison</label><mixed-citation> Ouaadi, N., Jarlan, L., Villard, L., Chakir, A., Khabba, S., Fanise, P., Kasbani, M., Rafi, Z., Dantec, V. L., Ezzahar, J., and Frison, P.-L.: Temporal decorrelation of C-band radar data over wheat in a semi-arid area using sub-daily tower-based observations, Remote Sens. Environ., 304, 370–381, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Oveisgharan and Zebker(2007)</label><mixed-citation> Oveisgharan, S. and Zebker, H.: Estimating Snow Accumulation From InSAR Correlation Observations, IEEE T. Geosci. Remote, 45, 10–20, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Oveisgharan et al.(2024)Oveisgharan, Zink, Hoppinen, and Marshall</label><mixed-citation>Oveisgharan, S., Zinke, R., Hoppinen, Z., and Marshall, H. P.: Snow water equivalent retrieval over Idaho – Part 1: Using Sentinel-1 repeat-pass interferometry, The Cryosphere, 18, 559–574, <ext-link xlink:href="https://doi.org/10.5194/tc-18-559-2024" ext-link-type="DOI">10.5194/tc-18-559-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Painter et al.(2016)Painter, Berisford, Boardman, Bormanna, Deemsc, Gehrke, Hedrick, Joycea, Laidlaw, Marks, Mattmann, McGurk, Ramirez, Richardsona, Skiles, Seidel, and Winstral</label><mixed-citation> Painter, T., Berisford, D., Boardman, J., Bormanna, K., Deemsc, J., Gehrke, F., Hedrick, A., Joycea, M., Laidlaw, R., Marks, D., Mattmann, C., McGurk, B., Ramirez, P., Richardsona, M., Skiles, M., Seidel, F., and Winstral, A.: The Airborne Snow Observatory: Fusion of scanning lidar, imaging spectrometer, and physically-based modeling for mapping snow water equivalent and snow albedo, Remote Sens. Environ., 184, 139–152, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Pulliainen and Hallikainen(2001)</label><mixed-citation> Pulliainen, J. and Hallikainen, M.: Retrieval of regional snow water equivalent from space-borne passive microwave observations, Remote Sens., Environ., 75, 76–85, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Rosen et al.(2000)Rosen, Hensley, Joughin, Li, Madsen, Rodriguez, and Goldstein</label><mixed-citation> Rosen, P., Hensley, S., Joughin, I., Li, F., Madsen, S., Rodriguez, E., and Goldstein, R.: Synthetic aperture radar interferometry, P. IEEE, 88, 333–382, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Rott et al.(2003)</label><mixed-citation>Rott, H., Nagler T., and Scheiber, R.: Snow mass retrieval by means of SAR interferometry, Proceedings of FRINGE 2003 Workshop, <uri>https://www.researchgate.net/publication/228990055_Snow_mass_retrieval_by_means_of_SAR_interferometry</uri> (last access: November 2025), 2003.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Rott et al.(2010)Rott, Yueh, Cline, Duguay, Essery, Haas, Heliere, Kern, Macelloni, and Malnes</label><mixed-citation> Rott, H., Yueh, S. H., Cline, D. W., Duguay, C., Essery, R., Haas, C., Heliere, F., Kern, M., Macelloni, G., and Malnes, E.: Cold regions hydrology high-resolution observatory for snow and cold land processes, International Geoscience and Remote Symposium, 98, 752–765, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Ruiz et al.(2022)Ruiz, Lemmetyinen, Kontu, Tarvainen, Vehmas, Pulliainen, and Praks</label><mixed-citation>Ruiz, J. J., Lemmetyinen, J., Kontu, A., Tarvainen, R., Vehmas, R., Pulliainen, J., and Praks, J.: Investigation of Environmental Effects on Coherence Loss in SAR Interferometry for Snow Water Equivalent Retrieval, IEEE T. Geosci. Remote, 60, 1–15, <ext-link xlink:href="https://doi.org/10.1109/TGRS.2022.3223760" ext-link-type="DOI">10.1109/TGRS.2022.3223760</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Shah et al.(2017)Shah, Xu, Yueh, Chae, Elder, Starr, and Kim</label><mixed-citation> Shah, R., Xu, X., Yueh, S., Chae, C. S., Elder, K., Starr, B., and Kim, Y.: Remote Sensing of Snow Water Equivalent Using P-band Coherent Reflection, IEEE Geosci. Remote S., 14, 309–313, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Siirila-Woodburn et al.(2021)Siirila-Woodburn, Rhoades, Hatchett, Huning, Szinai, Tague, Nico, Feldman, Jones, Collins, and Kaatz</label><mixed-citation> Siirila-Woodburn, E. R., Rhoades, A. M., Hatchett, B. J., Huning, L. S., Szinai, J., Tague, C., Nico, P. S., Feldman, D. R., Jones, A. D., Collins, W. D., and Kaatz, L.: A low-to-no snow future and its impacts on water resources in the western United States, Nature Review Earth and Environment, 2, 800–891, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>Takala et al.(2011)Takala, Luojus, Pulliainen, Derksen, and and</label><mixed-citation> Takala, M., Luojus, K., Pulliainen, J., Derksen, C., and and, J. L.: Estimating northern hemisphere snow water equivalent for climate research through assimilation of space-borne radiometer data and ground-based measurements, Remote Sens. Environ., 115, 3517–3529, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Tampuu et al.(2020)Tampuu, Praks, Uiboupin, and Kull</label><mixed-citation>Tampuu, T., Praks, J., Uiboupin, R., and Kull, A.: Long Term Interferometric Temporal Coherence and DInSAR Phase in Northern Peatlands, Remote Sensing, 12, <ext-link xlink:href="https://doi.org/10.3390/rs12101566" ext-link-type="DOI">10.3390/rs12101566</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Tarricone et al.(2023)Tarricone, Webb, Marshall, Nolin, and Meyer</label><mixed-citation>Tarricone, J., Webb, R. W., Marshall, H.-P., Nolin, A. W., and Meyer, F. J.: Estimating snow accumulation and ablation with L-band interferometric synthetic aperture radar (InSAR), The Cryosphere, 17, 1997–2019, <ext-link xlink:href="https://doi.org/10.5194/tc-17-1997-2023" ext-link-type="DOI">10.5194/tc-17-1997-2023</ext-link>, 2023. </mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Ulaby and Stiles(1980)</label><mixed-citation> Ulaby, F. T. and Stiles, W. H.: The active and passive microwave response to snow parameters: 2. Water equivalent of dry snow., J. Geophys. Res.-Oceans, 85, 1045–1049, 1980.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>USDA(2025)</label><mixed-citation>U.S. Department of Agriculture, Natural Resources Conservation Service (USDA): Report Generator, <uri>https://wcc.sc.egov.usda.gov/reportGenerator/</uri>, last access: November 2025.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Yueh et al.(2017)Yueh, Xu, Shah, Kim, Garrison, Komanduru, and Elder</label><mixed-citation> Yueh, S. H., Xu, X., Shah, R., Kim, Y., Garrison, J. L., Komanduru, A., and Elder, K.: Remote Sensing of Snow Water Equivalent Using Coherent Reflection From Satellite Signals of Opportunity: Theoretical Modeling, IEEE J. Sel. Top. Appl., 10, 5529–5540, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>Yueh et al.(2021)Yueh, Shah, Xu, Stiles, and Bosch-Lluis</label><mixed-citation> Yueh, S. H., Shah, R., Xu, X., Stiles, B., and Bosch-Lluis, X.: A Satellite Synthetic Aperture Radar Concept Using P-band Signals of Opportunity, IEEE J. Sel. Top. Appl., 14, 2796–2816, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>Yunjun et al.(2019)Yunjun, Fattahi, and Amelung</label><mixed-citation> Yunjun, Z., Fattahi, H., and Amelung, F.: Small baseline InSAR time series analysis: Unwrapping error correction and noise reduction, Comput. Geosci., 133, 5529–5540, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx64"><label>Zebker and Villasenor(1992)</label><mixed-citation> Zebker, H. A. and Villasenor, J.: Decorrelation in Interferometric Radar Echoes, IEEE T. Geosci. Remote, 30, 950–959, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx65"><label>Zebker et al.(1994)Zebker, Rosen, Goldstein, Gabriel, and Werner</label><mixed-citation> Zebker, H. A., Rosen, P. A., Goldstein, R., Gabriel, A., and Werner, C. L.: On the derivation of coseismic displacement fields using differential radar interferometry: The Landers earthquake, J. Geophys. Res.-Sol. Ea., 99, 19617–19634, 1994.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Using LIDAR and SNOTEL data for evaluating the performance of snow water equivalent retrieval using Sentinel-1 repeat-pass interferometry</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Adebisi et al.(2022)Adebisi, Marshall, Vuyovich, Elder, Hiemstra, and
Durand</label><mixed-citation>
      
Adebisi, N., Marshall, H., Vuyovich, C. M., Elder, K., Hiemstra, C., and
Durand, M.: SnowEx20-21 QSI Lidar Snow Depth 0.5m UTM Grid, Version 1, NASA National Snow and Ice Data Center Distributed Active Archive Center [data set],
<a href="https://doi.org/10.5067/VBUN16K365DG" target="_blank">https://doi.org/10.5067/VBUN16K365DG</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Agnew(1992)</label><mixed-citation>
      
Agnew, D.: The time-domain behavior of power-law noises, Geophys. Res.
Lett., 19, 333–336, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Baduge et al.(2016)Baduge, Henschel, Hobbs, Buehler, Ekman, and
Lehrbass</label><mixed-citation>
      
Baduge, A. W. A., Henschel, M. D., Hobbs, S., Buehler, S. A., Ekman, J., and
Lehrbass, B.: Seasonal variation of coherence in SAR interferograms in
Kiruna, Northern Sweden, Int. J. Remote Sens., 37,
370–387, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Barnett et al.(2005)Barnett, Adam, and Lettenmaier</label><mixed-citation>
      
Barnett, T., Adam, J., and Lettenmaier, D.: Potential impacts of a warming
climate on water availability in snow-dominated regions, Nature, 438,
303–309, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Belinska et al.(2024)Belinska, Fischer, Parrella, and
Hajnsek</label><mixed-citation>
      
Belinska, K., Fischer, G., Parrella, G., and Hajnsek, I.: The Potential of
Multifrequency Spaceborne DInSAR Measurements for the Retrieval of Snow Water
Equivalent, IEEE J. Sel. Top. Appl., 17, 2950–2962, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Bonnell et al.(2024a)Bonnell, Elder, McGrath, Marshall,
Starr, Adebisi, Palomaki, and Hoppinen</label><mixed-citation>
      
Bonnell, R., Elder, K., McGrath, D., Marshall, H. P., Starr, B., Adebisi, N.,
Palomaki, R. T., and Hoppinen, Z.: L‐band InSAR Snow Water Equivalent
Retrieval Uncertainty Increases With Forest Cover Fraction, Geophys.
Res. Lett., 51, <a href="https://doi.org/10.1029/2024GL111708" target="_blank">https://doi.org/10.1029/2024GL111708</a>, 2024a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Bonnell et al.(2024b)Bonnell, McGrath, Tarricone,
Marshall, Bump, Duncan, Kampf, Lou, Olsen-Mikitowicz, Sears, Williams,
Zeller, and Zheng</label><mixed-citation>
      
Bonnell, R., McGrath, D., Tarricone, J., Marshall, H.-P., Bump, E., Duncan, C., Kampf, S., Lou, Y., Olsen-Mikitowicz, A., Sears, M., Williams, K., Zeller, L., and Zheng, Y.: Evaluating L-band InSAR snow water equivalent retrievals with repeat ground-penetrating radar and terrestrial lidar surveys in northern Colorado, The Cryosphere, 18, 3765–3785, <a href="https://doi.org/10.5194/tc-18-3765-2024" target="_blank">https://doi.org/10.5194/tc-18-3765-2024</a>, 2024b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Conde et al.(2019)Conde, Nico, Mateus, Catalão, Kontu, and
Gritsevich</label><mixed-citation>
      
Conde, V., Nico, G., Mateus, P., Catalão, J., Kontu, A., and Gritsevich, M.:
On the estimation of temporal changes of snow water equivalent by spaceborne
SAR interferometry: a new application for the Sentinel-1 mission, J.
Hydrol. Hydromech., 67, 93–100, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Cui et al.(2016)Cui, Xiong, Lemmetyinen, Shi, Jiang, Peng, Li, Zhao,
Ji, and Hu</label><mixed-citation>
      
Cui, Y., Xiong, C., Lemmetyinen, J., Shi, J., Jiang, L., Peng, B., Li, H.,
Zhao, T., Ji, D., and Hu, T.: Estimating Snow Water Equivalent with
Backscattering at X and Ku Band on Absorption Loss, Remote Sensing, 8, <a href="https://doi.org/10.3390/rs8060505" target="_blank">https://doi.org/10.3390/rs8060505</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Dagurov et al.(2020)Dagurov, Chimitdorzhiev, Dmitriev, and
Dobrynin</label><mixed-citation>
      
Dagurov, P., Chimitdorzhiev, T., Dmitriev, A., and Dobrynin, S.: Estimation of
snow water equivalent from L-band radar interferometry: simulation and
experiment, Int. J. Remote Sens., 41, <a href="https://doi.org/10.1080/01431161.2020.1798551" target="_blank">https://doi.org/10.1080/01431161.2020.1798551</a>,  2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Deeb et al.(2011)Deeb, Forster, and Kane</label><mixed-citation>
      
Deeb, E. J., Forster, R. R., and Kane, D. L.: Monitoring snowpack evolution
using interferometric synthetic aperture radar on the North Slope of Alaska,
Int. J. Remote Sens., 32, 3985–4003, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Deems et al.(2013)DEEMS, PAINTER, and FINNEGAN</label><mixed-citation>
      
Deems, J. S., Painter, T. H., and Finnegan, D. C.: Lidar measurement of snow
depth: a review, J. Glaciol., 59, 467–479, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Dozier et al.(2016)Dozier, Bair, and Davis</label><mixed-citation>
      
Dozier, J., Bair, E. H., and Davis, R. E.: Estimating the spatial distribution
of snow water equivalent in the world’s mountains, WIREs Water, 3,
461–474, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Durand and Liu(2012)</label><mixed-citation>
      
Durand, M. and Liu, D.: The need for prior information in characterizing snow
water equivalent from microwave brightness temperatures, Remote Sens.
Environ., 126, 248–257, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Engen et al.(2004)Engen, Guneriussen, and Overrein</label><mixed-citation>
      
Engen, G., Guneriussen, T., and Overrein, Y.: Delta-K interferometric SAR
technique for snow water equivalent (SWE) retrieval, IEEE Geosci.
Remote Sensing Letters, 1, 57–61, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Eppler et al.(2022)Eppler, Rabus, and Morse</label><mixed-citation>
      
Eppler, J., Rabus, B., and Morse, P.: Snow water equivalent change mapping
from slope-correlated synthetic aperture radar interferometry (InSAR) phase
variations, The Cryosphere, 16, 1497–1521, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Fleming et al.(2023)Fleming, Zukiewicz, Strobel, Hofman, and
Goodbody</label><mixed-citation>
      
Fleming, S. W., Zukiewicz, L., Strobel, M. L., Hofman, H., and Goodbody, G. G.:
SNOTEL, the soil climate analysis network, and water supply forecasting at
the natural resources conservation service: Past, present, and future,
JAWRA: Journal of the American Water Resource Association, 59, 585–599,
2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Gabriel et al.(1989)Gabriel, Goldstein, and Zebker</label><mixed-citation>
      
Gabriel, A. K., Goldstein, R. M., and Zebker, H. A.: Mapping small elevation
changes over large areas: Differential radar interferometry, Journal of
Geophysical Research, 94, 9183–9191, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Guneriussen et al.(2001)Guneriussen, Hogda, Johnsen, and
Lauknes</label><mixed-citation>
      
Guneriussen, T., Hogda, K. A., Johnsen, H., and Lauknes, I.: InSAR for
estimation of changes in snow water equivalent of dry snow, IEEE
T. Geosci. Remote, 39, 2101–2108, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Havazli(2026)</label><mixed-citation>
      
Havazli, E.: ehavazli/snowsar: v0.1.1, Zenodo [software], <a href="https://doi.org/10.5281/zenodo.21924919" target="_blank">https://doi.org/10.5281/zenodo.21924919</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Hoen and Zebker(2000)</label><mixed-citation>
      
Hoen, W. and Zebker, H.: Penetration Depths Inferred from Interferometric
Volume Decorrelation Observed over the Greenland Ice Sheet, IEEE
Transactions on Geosci. Remote, 38, 2571–2583, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Hoppinen et al.(2024a)Hoppinen, Oveisgharan, Marshall,
Mower, Elder, and Vuyovich</label><mixed-citation>
      
Hoppinen, Z., Oveisgharan, S., Marshall, H. P., Mower, R., Elder, K., and
Vuyovich, C.: Snow water equivalent retrieval over Idaho—Part 2: Using
L-band UAVSAR repeat-pass interferometry, The Cryosphere, 18, 575–592,
2024a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Hoppinen et al.(2024b)Hoppinen, Palomaki, Brencher,
Dunmire, Gagliano, Marziliano, Tarricone, and Marshall</label><mixed-citation>
      
Hoppinen, Z., Palomaki, R. T., Brencher, G., Dunmire, D., Gagliano, E.,
Marziliano, A., Tarricone, J., and Marshall, H.-P.: Evaluating snow depth
retrievals from Sentinel-1 volume scattering over NASA SnowEx sites, The
Cryosphere, 18, 5407–5430, 2024b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Hui et al.(2016)Hui, Pengfeng, Xuezhi, Guangjun, and Zuo</label><mixed-citation>
      
Hui, L., Pengfeng, X., Xuezhi, F., Guangjun, H., and Zuo, W.: Monitoring Snow
Depth And Its Change Using Repeat-Pass Interferometric SAR In Manas River
Basin, IEEE International Geosci. Remote Symposium, pp.
4936–4939, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Jolivet et al.(2011)Jolivet, Grandin, Lasserre, Doin, and
Peltzer</label><mixed-citation>
      
Jolivet, R., Grandin, R., Lasserre, C., Doin, M., and Peltzer, G.: Systematic
InSAR tropospheric phase delay corrections from global meteorological
reanalysis data, Geophys. Res. Lett., 38, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Kellndorfer et al.(2022)Kellndorfer, Cartus, Lavalle, Magnard,
Milillo, Oveisgharan, Osmanoglu, Rosen, and Wegmüller</label><mixed-citation>
      
Kellndorfer, J., Cartus, O., Lavalle, M., Magnard, C., Milillo, P.,
Oveisgharan, S., Osmanoglu, B., Rosen, P. A., and Wegmüller, U.: Global
seasonal Sentinel-1 interferometric coherence and backscatter data set,
Scientific Data, 9, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Kelly(2009)</label><mixed-citation>
      
Kelly, R.: The AMSR-E Snow depth algorithm: Description and initial results,
Journal of The Remote Sensing Society of Japan, 29, 307–317, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Kelly et al.(2003)Kelly, Chang, Tsang, and Foster</label><mixed-citation>
      
Kelly, R. E., Chang, A. T., Tsang, L., and Foster, J. L.: A prototype AMSR-E
global snow area and snow depth algorithm, IEEE Transactions on Geoscience
and Remote Sensing, 41, 230–242, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Klos et al.(2014)Klos, Link, and Abatzoglou</label><mixed-citation>
      
Klos, P. Z., Link, T. E., and Abatzoglou, J. T.: Extent of the rain-snow
transition zone in the western US under historic and projected climate,
Geophys. Res. Lett., 41, 4560–4568, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Larsen et al.(2005)Larsen, Malnes, and Engen</label><mixed-citation>
      
Larsen, Y., Malnes, E., and Engen, G.: Retrieval of snow water equivalent with
envisat ASAR in a Norwegian hydropower catchment, IEEE International
Geosci. Remote Symposium, 8, 5444–5447, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Lavalle et al.(2012)Lavalle, Simard, and Hensley</label><mixed-citation>
      
Lavalle, M., Simard, M., and Hensley, S.: A Temporal Decorrelation Model for
Polarimetric Radar Interferometers, IEEE Transactions on Geoscience and
Remote Sensing, 50, 2880–2888, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Leinss et al.(2014)Leinss, Parrella, and Hajnsek</label><mixed-citation>
      
Leinss, S., Parrella, G., and Hajnsek, I.: Snow Height Determination by
Polarimetric Phase Differences in X-band SAR Data, IEEE Journal of Selected
Topics in Applied Earth Observations and Remote Sensing, 7, 3794–3810, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Leinss et al.(2015)Leinss, Wiesmann, Lemmetyinen, and
Hajnsek</label><mixed-citation>
      
Leinss, S., Wiesmann, A., Lemmetyinen, J., and Hajnsek, I.: Snow Water
Equivalent of Dry Snow Measured by Differential Interferometry, IEEE Journal
of Selected Topics in Applied Earth Observations and Remote Sensing, 8,
3773–3790, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Lemmetyinen et al.(2018)Lemmetyinen, Derksen, Rott, Macelloni, King,
Schneebeli, Wiesmann, Leppanen, Kontu, and Pulliainen</label><mixed-citation>
      
Lemmetyinen, J., Derksen, C., Rott, H., Macelloni, G., King, J., Schneebeli,
M., Wiesmann, A., Leppanen, L., Kontu, A., and Pulliainen, J.: Retrieval of
Effective Correlation Length and Snow Water Equivalent from Radar and Passive
Microwave Measurements, Remote Sensing, 10, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Li et al.(2017)Li, Wrzesien, Durand, Adam, and Lettenmaier</label><mixed-citation>
      
Li, D., Wrzesien, M. L., Durand, M., Adam, J., and Lettenmaier, D. P.: How
much runoff originates as snow in the western United States, and how will
that change in the future?, Geophys. Res. Lett., 44, 6163–6172,
2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Lievens et al.(2019)Lievens, Demuzere, Marshall, Reichle, Brucker,
Brangers, de Rosnay, Dumont, Girotto, Immerzeel, Jonas, Kim, Koch, Marty,
Saloranta, Schöber, and Lannoy</label><mixed-citation>
      
Lievens, H., Demuzere, M., Marshall, H.-P., Reichle, R. H., Brucker, L.,
Brangers, I., de Rosnay, P., Dumont, M., Girotto, M., Immerzeel, W. W.,
Jonas, T., Kim, E. J., Koch, I., Marty, C., Saloranta, T., Schöber, J., and
Lannoy, G. J. D.: Snow depth variability in the Northern Hemisphere
mountains observed from space, Nature Communications, 10, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Lievens et al.(2022)Lievens, Brangers, Marshall, Jonas, Olefs, and
DeLannoy</label><mixed-citation>
      
Lievens, H., Brangers, I., Marshall, H.-P., Jonas, T., Olefs, M., and DeLannoy,
G.: Sentinel-1 snow depth retrieval at sub-kilometer resolution over the
European Alps, The Cryosphere, 16, 159–177, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Liu et al.(2017)Liu, Li, Yang, Chen, and Hao</label><mixed-citation>
      
Liu, Y., Li, L., Yang, J., Chen, X., and Hao, J.: Estimating Snow Depth Using
Multi-Source Data Fusion Based on the D-InSAR Method and 3DVAR Fusion
Algorithm, Remote Sensing, 9, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Lorenzi et al.(2024)Lorenzi, Banzato, Barberio, Goepper,
Goldscheider, Gori, Lacchini, Manetta, Medici, Rusi, and Petitta</label><mixed-citation>
      
Lorenzi, V., Banzato, F., Barberio, M., Goepper, N., Goldscheider, N., Gori,
F., Lacchini, A., Manetta, M., Medici, G., Rusi, S., and Petitta, M.:
Tracking flowpaths in a complex karst system through tracer test and
hydrogeochemical monitoring: Implications for groundwater protection (Gran
Sasso, Italy), Heliyon, 10, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Luzi et al.(2009)Luzi, Noferini, Mecatti, Macaluso, Pieraccini,
Atzeni, Schaffhauser, Fromm, and Nagler</label><mixed-citation>
      
Luzi, G., Noferini, L., Mecatti, D., Macaluso, G., Pieraccini, M., Atzeni, C.,
Schaffhauser, A., Fromm, R., and Nagler, T.: Using a ground-based SAR
interferometer and a terrestrial laser scanner to monitor a snow-covered
slope: Results from an experimental data collection in Tyrol, IEEE
Transactions on Geosci. Remote, 47, 382–393, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Marshall et al.(2021)Marshall, Deeb, Forster, Vuyovich, Elder,
Hiemstra, and Lund</label><mixed-citation>
      
Marshall, H., Deeb, E., Forster, R., Vuyovich, C., Elder, K., Hiemstra, C., and
Lund, J.: L-band InSAR Depth Retrieval During the NASA SnowEX 2020 Campaign:
Grnad Mesa, Colorado, IEEE International Geosci. Remote
Symposium, pp. 625–627, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>McCrystall et al.(2021)McCrystall, Stroeve, Serreze, Forbes, and
Screen</label><mixed-citation>
      
McCrystall, M. R., Stroeve, J., Serreze, M., Forbes, B. C., and Screen, J. A.:
New climate models reveal faster and larger increases in Arctic
precipitation than previously projected, Nature Communications, 12,
1216–1228, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Nagler et al.(2022)Nagler, Rott, Scheiblauer, Libert, Mölg, Horn,
Fischer, Keller, Moreira, and Kubanek</label><mixed-citation>
      
Nagler, T., Rott, H., Scheiblauer, S., Libert, L., Mölg, N., Horn, R.,
Fischer, J., Keller, M., Moreira, A., and Kubanek, J.: Airborne Experiment
on InSAR Snow Mass Retrieval in Alpine Environment, IEEE International
Geosci. Remote Symposium, pp. 4549–4552, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Nghiem and Tsai(2001)</label><mixed-citation>
      
Nghiem, S. V. and Tsai, W. Y.: Global snow cover monitoring with spaceborne
Ku:band scatterometer, IEEE T. Geosci. Remote,
39, 2118–2134, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Ouaadi et al.(2024)Ouaadi, Jarlan, Villard, Chakir, Khabba, Fanise,
Kasbani, Rafi, Dantec, Ezzahar, and Frison</label><mixed-citation>
      
Ouaadi, N., Jarlan, L., Villard, L., Chakir, A., Khabba, S., Fanise, P.,
Kasbani, M., Rafi, Z., Dantec, V. L., Ezzahar, J., and Frison, P.-L.:
Temporal decorrelation of C-band radar data over wheat in a semi-arid area
using sub-daily tower-based observations, Remote Sens. Environ.,
304, 370–381, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Oveisgharan and Zebker(2007)</label><mixed-citation>
      
Oveisgharan, S. and Zebker, H.: Estimating Snow Accumulation From InSAR
Correlation Observations, IEEE T. Geosci. Remote, 45, 10–20, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Oveisgharan et al.(2024)Oveisgharan, Zink, Hoppinen, and
Marshall</label><mixed-citation>
      
Oveisgharan, S., Zinke, R., Hoppinen, Z., and Marshall, H. P.: Snow water equivalent retrieval over Idaho – Part 1: Using Sentinel-1 repeat-pass interferometry, The Cryosphere, 18, 559–574, <a href="https://doi.org/10.5194/tc-18-559-2024" target="_blank">https://doi.org/10.5194/tc-18-559-2024</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Painter et al.(2016)Painter, Berisford, Boardman, Bormanna, Deemsc,
Gehrke, Hedrick, Joycea, Laidlaw, Marks, Mattmann, McGurk, Ramirez,
Richardsona, Skiles, Seidel, and Winstral</label><mixed-citation>
      
Painter, T., Berisford, D., Boardman, J., Bormanna, K., Deemsc, J., Gehrke, F.,
Hedrick, A., Joycea, M., Laidlaw, R., Marks, D., Mattmann, C., McGurk, B.,
Ramirez, P., Richardsona, M., Skiles, M., Seidel, F., and Winstral, A.: The
Airborne Snow Observatory: Fusion of scanning lidar, imaging spectrometer,
and physically-based modeling for mapping snow water equivalent and snow
albedo, Remote Sens. Environ., 184, 139–152, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Pulliainen and Hallikainen(2001)</label><mixed-citation>
      
Pulliainen, J. and Hallikainen, M.: Retrieval of regional snow water
equivalent from space-borne passive microwave observations, Remote Sens.,
Environ., 75, 76–85, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Rosen et al.(2000)Rosen, Hensley, Joughin, Li, Madsen, Rodriguez, and
Goldstein</label><mixed-citation>
      
Rosen, P., Hensley, S., Joughin, I., Li, F., Madsen, S., Rodriguez, E., and
Goldstein, R.: Synthetic aperture radar interferometry, P.
IEEE, 88, 333–382, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Rott et al.(2003)</label><mixed-citation>
      
Rott, H., Nagler T., and Scheiber, R.: Snow mass retrieval by means of SAR
interferometry, Proceedings of FRINGE 2003 Workshop, <a href="https://www.researchgate.net/publication/228990055_Snow_mass_retrieval_by_means_of_SAR_interferometry" target="_blank"/> (last access: November 2025), 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Rott et al.(2010)Rott, Yueh, Cline, Duguay, Essery, Haas, Heliere,
Kern, Macelloni, and Malnes</label><mixed-citation>
      
Rott, H., Yueh, S. H., Cline, D. W., Duguay, C., Essery, R., Haas, C., Heliere,
F., Kern, M., Macelloni, G., and Malnes, E.: Cold regions hydrology
high-resolution observatory for snow and cold land processes, International
Geoscience and Remote Symposium, 98, 752–765, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Ruiz et al.(2022)Ruiz, Lemmetyinen, Kontu, Tarvainen, Vehmas,
Pulliainen, and Praks</label><mixed-citation>
      
Ruiz, J. J., Lemmetyinen, J., Kontu, A., Tarvainen, R., Vehmas, R., Pulliainen,
J., and Praks, J.: Investigation of Environmental Effects on Coherence Loss
in SAR Interferometry for Snow Water Equivalent Retrieval, IEEE T. Geosci. Remote, 60, 1–15, <a href="https://doi.org/10.1109/TGRS.2022.3223760" target="_blank">https://doi.org/10.1109/TGRS.2022.3223760</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Shah et al.(2017)Shah, Xu, Yueh, Chae, Elder, Starr, and
Kim</label><mixed-citation>
      
Shah, R., Xu, X., Yueh, S., Chae, C. S., Elder, K., Starr, B., and Kim, Y.:
Remote Sensing of Snow Water Equivalent Using P-band Coherent Reflection,
IEEE Geosci. Remote S., 14, 309–313, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Siirila-Woodburn et al.(2021)Siirila-Woodburn, Rhoades, Hatchett,
Huning, Szinai, Tague, Nico, Feldman, Jones, Collins, and Kaatz</label><mixed-citation>
      
Siirila-Woodburn, E. R., Rhoades, A. M., Hatchett, B. J., Huning, L. S.,
Szinai, J., Tague, C., Nico, P. S., Feldman, D. R., Jones, A. D., Collins,
W. D., and Kaatz, L.: A low-to-no snow future and its impacts on water
resources in the western United States, Nature Review Earth and Environment,
2, 800–891, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Takala et al.(2011)Takala, Luojus, Pulliainen, Derksen, and
and</label><mixed-citation>
      
Takala, M., Luojus, K., Pulliainen, J., Derksen, C., and and, J. L.:
Estimating northern hemisphere snow water equivalent for climate research
through assimilation of space-borne radiometer data and ground-based
measurements, Remote Sens. Environ., 115, 3517–3529, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Tampuu et al.(2020)Tampuu, Praks, Uiboupin, and Kull</label><mixed-citation>
      
Tampuu, T., Praks, J., Uiboupin, R., and Kull, A.: Long Term Interferometric
Temporal Coherence and DInSAR Phase in Northern Peatlands, Remote Sensing,
12, <a href="https://doi.org/10.3390/rs12101566" target="_blank">https://doi.org/10.3390/rs12101566</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Tarricone et al.(2023)Tarricone, Webb, Marshall, Nolin, and
Meyer</label><mixed-citation>
      
Tarricone, J., Webb, R. W., Marshall, H.-P., Nolin, A. W., and Meyer, F. J.: Estimating snow accumulation and ablation with L-band interferometric synthetic aperture radar (InSAR), The Cryosphere, 17, 1997–2019, <a href="https://doi.org/10.5194/tc-17-1997-2023" target="_blank">https://doi.org/10.5194/tc-17-1997-2023</a>, 2023.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Ulaby and Stiles(1980)</label><mixed-citation>
      
Ulaby, F. T. and Stiles, W. H.: The active and passive microwave response to
snow parameters: 2. Water equivalent of dry snow., J. Geophys.
Res.-Oceans, 85, 1045–1049, 1980.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>USDA(2025)</label><mixed-citation>
      
U.S. Department of Agriculture, Natural Resources Conservation Service (USDA): Report Generator, <a href="https://wcc.sc.egov.usda.gov/reportGenerator/" target="_blank"/>, last access: November 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Yueh et al.(2017)Yueh, Xu, Shah, Kim, Garrison, Komanduru, and
Elder</label><mixed-citation>
      
Yueh, S. H., Xu, X., Shah, R., Kim, Y., Garrison, J. L., Komanduru, A., and
Elder, K.: Remote Sensing of Snow Water Equivalent Using Coherent Reflection
From Satellite Signals of Opportunity: Theoretical Modeling, IEEE J.
Sel. Top. Appl., 10,
5529–5540, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Yueh et al.(2021)Yueh, Shah, Xu, Stiles, and Bosch-Lluis</label><mixed-citation>
      
Yueh, S. H., Shah, R., Xu, X., Stiles, B., and Bosch-Lluis, X.: A Satellite
Synthetic Aperture Radar Concept Using P-band Signals of Opportunity, IEEE
J. Sel. Top. Appl.,
14, 2796–2816, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Yunjun et al.(2019)Yunjun, Fattahi, and Amelung</label><mixed-citation>
      
Yunjun, Z., Fattahi, H., and Amelung, F.: Small baseline InSAR time series
analysis: Unwrapping error correction and noise reduction, Comput.
Geosci., 133, 5529–5540, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Zebker and Villasenor(1992)</label><mixed-citation>
      
Zebker, H. A. and Villasenor, J.: Decorrelation in Interferometric Radar
Echoes, IEEE T. Geosci. Remote, 30, 950–959,
1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Zebker et al.(1994)Zebker, Rosen, Goldstein, Gabriel, and
Werner</label><mixed-citation>
      
Zebker, H. A., Rosen, P. A., Goldstein, R., Gabriel, A., and Werner, C. L.: On
the derivation of coseismic displacement fields using differential radar
interferometry: The Landers earthquake, J. Geophys. Res.-Sol. Ea., 99, 19617–19634, 1994.

    </mixed-citation></ref-html>--></article>
