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Technical note: GRACE–compatible filtering of water storage data sets via spatial autocorrelation analysis

Sharifi, Ehsan, Haas, Julian, Boergens, Eva, Dobslaw, Henryk, and Güntner, Andreas, 2025. Technical note: GRACE–compatible filtering of water storage data sets via spatial autocorrelation analysis. Hydrology and Earth System Sciences Discussions, 29(23):6985–6998, doi:10.5194/hess-29-6985-2025.

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@ARTICLE{2025HESSD..29.6985S,
       author = {{Sharifi}, Ehsan and {Haas}, Julian and {Boergens}, Eva and {Dobslaw}, Henryk and {G{\"u}ntner}, Andreas},
        title = "{Technical note: GRACE-compatible filtering of water storage data sets via spatial autocorrelation analysis}",
      journal = {Hydrology and Earth System Sciences Discussions},
         year = 2025,
        month = dec,
       volume = {29},
       number = {23},
        pages = {6985-6998},
     abstract = "{Groundwater storage anomaly (GWSA) can be derived on a global scale by
        subtracting various water storage compartments (WSCs) such as
        soil moisture, snow, surface water bodies, and glaciers from
        terrestrial water storage anomaly (TWSA) variations based on the
        GRACE/GRACE-FO satellite missions. Due to the nature of data
        acquisition by GRACE and GRACE-FO, filtering is essential to
        minimize North-South-oriented striping errors, thus resulting in
        a spatially smoothed TWSA signal. Nowadays, specific anisotropic
        decorrelation filters, such as DDK or VDK (time-variable DDK)
        filters, are applied. For a consistent subtraction of the
        individual storage compartments from GRACE-based TWSA, they need
        to be filtered in a similar way. This study utilized WSCs from
        observation-based data products (glaciers, soil moisture, and
        snow) and the global hydrological model LISFLOOD (surface water
        storage) to determine a suitable filter type over the analysis
        period 2002─2023. Analysis revealed that the routinely used
        decorrelation filter, e.g. the DDK filter, introduced striping
        artefacts into the smoothed data and has consequently been
        deemed inappropriate for filtering datasets lacking GRACE-like
        correlated error patterns. As an alternative, an isotropic
        Gaussian filter was chosen for further analysis. To determine
        the optimal filter width, an empirical correlation function was
        employed. By minimizing differences between the empirical
        spatial correlation functions of aggregated WSCs and the spatial
        correlation function of GRACE-based TWSA to a minimum RMSD of
        0.02, an optimal filter width of 250 km was identified. This
        filter width could be applied to the aggregated WSCs to achieve
        a spatial structure similar to GRACE-TWSA, ensuring
        compatibility for the subtraction of WSCs from GRACE-TWSA to
        isolate groundwater storage.}",
          doi = {10.5194/hess-29-6985-2025},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2025HESSD..29.6985S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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