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Multi–Resolution Estimation of GNSS–Based Terrestrial Water Storage Changes Using Green's Function and Slepian Basis Function Methods

Nasiri, Mahsa, Fatolazadeh, Farzam, and Goïta, Kalifa, 2026. Multi–Resolution Estimation of GNSS–Based Terrestrial Water Storage Changes Using Green's Function and Slepian Basis Function Methods. Remote Sensing, 18(14):2392, doi:10.3390/rs18142392.

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@ARTICLE{2026RemS...18.2392N,
       author = {{Nasiri}, Mahsa and {Fatolazadeh}, Farzam and {Go{\"i}ta}, Kalifa},
        title = "{Multi-Resolution Estimation of GNSS-Based Terrestrial Water Storage Changes Using Green's Function and Slepian Basis Function Methods}",
      journal = {Remote Sensing},
     keywords = {GNSS, GRACE, terrestrial water storage, Green's function, Slepian basis functions},
         year = 2026,
        month = jul,
       volume = {18},
       number = {14},
          eid = {2392},
        pages = {2392},
     abstract = "{What are the main findings? Based on the 2839 GNSS stations dataset from
        September 2010 to September 2024, GNSS-derived TWS changes show
        strong agreement with GRACE in basins with coherent hydrological
        signals and dense station coverage, particularly in snow-
        dominated mountainous regions. Decreasing grid spacing from
        1{\textdegree} to 0.25{\textdegree} generally reduces agreement
        with GRACE due to noise amplification and insufficient
        observational constraints in most basins; however, notable
        exceptions exist in some basins. Based on the 2839 GNSS stations
        dataset from September 2010 to September 2024, GNSS-derived TWS
        changes show strong agreement with GRACE in basins with coherent
        hydrological signals and dense station coverage, particularly in
        snow-dominated mountainous regions. Decreasing grid spacing from
        1{\textdegree} to 0.25{\textdegree} generally reduces agreement
        with GRACE due to noise amplification and insufficient
        observational constraints in most basins; however, notable
        exceptions exist in some basins. What are the implications of
        the main findings? The effective spatial resolution of GNSS-
        based TWS inversion is controlled by GNSS network density,
        hydrological signal coherence, and regularization, rather than
        nominal grid spacing. Green's function method better captures
        localized variability in dense networks, while Slepian basis
        functions offer more stable and spatially coherent solutions.
        The effective spatial resolution of GNSS-based TWS inversion is
        controlled by GNSS network density, hydrological signal
        coherence, and regularization, rather than nominal grid spacing.
        Green's function method better captures localized variability in
        dense networks, while Slepian basis functions offer more stable
        and spatially coherent solutions. Terrestrial water storage
        (TWS) is an important indicator of the hydrological cycle. In
        this study, GNSS-derived TWS changes across the contiguous
        United States and southern Canada were estimated using Green's
        function (GF) and Slepian basis function (SBF) methods at
        1{\textdegree}, 0.5{\textdegree}, and 0.25{\textdegree} grid
        spacings based on 2839 GNSS stations between September 2010 and
        September 2024. The results were evaluated against GRACE/GRACE-
        FO over 13 major river basins. Both methods captured the
        dominant seasonal variability with strong agreement in snow-
        dominated basins. Increasing resolution to 0.25{\textdegree}
        reduced agreement in most basins; however, exceptions exist in
        some cases. While regions with sparse station density suffer
        from noise amplification due to insufficient observational
        constraints, densely instrumented regions can reflect localized
        variability. Overall, the correlations range between
        {\ensuremath{-}}0.37 and 0.92, while the RMSE vary from 3.40 cm
        to 15.08 cm between GNSS-derived and GRACE TWS changes. In the
        Columbia River basin, correlations reached 0.92 (GF) and 0.88
        (SBF) at 1{\textdegree} resolution, and decreased to 0.86 and
        0.82 at 0.25{\textdegree}, respectively. The Atlantic Ocean
        Seaboard showed near-zero correlations across all resolutions,
        indicating spatially heterogeneous signals. In the Pacific Ocean
        Seaboard, RMSE at 0.25{\textdegree} reached 12.86 cm (GF) versus
        8.93 cm (SBF), reflecting GF's greater sensitivity to localized
        variations at finer scales. This highlights that effective
        resolution depends on station density, hydrological signal
        coherence, and regularization rather than grid spacing alone.}",
          doi = {10.3390/rs18142392},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2026RemS...18.2392N},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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