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Joint calibration of multi–scale hydrological data sets using probabilistic water balance data fusion: methodology and application to the irrigated Hindon River Basin, India

Mourad, Roya, Schoups, Gerrit, Rajendran, Vinnarasi, and Bastiaanssen, Wim, 2026. Joint calibration of multi–scale hydrological data sets using probabilistic water balance data fusion: methodology and application to the irrigated Hindon River Basin, India. Hydrology and Earth System Sciences Discussions, 30(3):525–551, doi:10.5194/hess-30-525-2026.

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BibTeX

@ARTICLE{2026HESSD..30..525M,
       author = {{Mourad}, Roya and {Schoups}, Gerrit and {Rajendran}, Vinnarasi and {Bastiaanssen}, Wim},
        title = "{Joint calibration of multi-scale hydrological data sets using probabilistic water balance data fusion: methodology and application to the irrigated Hindon River Basin, India}",
      journal = {Hydrology and Earth System Sciences Discussions},
         year = 2026,
        month = feb,
       volume = {30},
       number = {3},
        pages = {525-551},
     abstract = "{Hydrological data sets have vast potential for water resource management
        applications; however, they are subject to uncertainties. In
        this paper, we develop and apply a monthly probabilistic water
        balance data fusion approach for automatic bias correction and
        noise filtering of multi-scale hydrological data. The approach
        first calibrates the independent data sets by linking them
        through the water balance, resulting in hydrologically
        consistent estimates of precipitation (P), evaporation (E),
        storage (S), irrigation canal water imports (C), and river
        discharge (Q) that jointly close the basin-scale water balance.
        Next, the basin-scale results are downscaled to the pixel-scale,
        to generate calibrated ensembles of gridded Precipitation (P)
        and Evaporation (E) that reflect the basin-wide water balance
        closure constraints. An application to the irrigated Hindon
        River basin in India illustrates that the approach generates
        physically reasonable estimates of all basin-scale variables,
        with average standard errors decreasing in the following order:
        21 mm month$^{{\ensuremath{-}}1}$ for storage, 10 mm
        month$^{{\ensuremath{-}}1}$ for evaporation, 7 mm
        month$^{{\ensuremath{-}}1}$ for precipitation, 4 mm
        month$^{{\ensuremath{-}}1}$ for irrigation canal water imports,
        and 2 mm month$^{{\ensuremath{-}}1}$ for river discharge.
        Results show that updating the original independent data with
        water balance constraint information reduces uncertainties by
        inducing cross-correlations between all independent variables
        linked through the water balance. In addition, the introduced
        approach yields (i) hydrologically consistent gridded P and E
        estimates that fuse information from prior (original) data
        across different land use elements and (ii) statistically
        consistent random errors that reflect the model's confidence
        about P and E estimates at each grid cell. The analysis also
        shows a long-term decreasing trend in groundwater, which is
        better captured by the more severe decline from GRACE JPL mascon
        than GRACE Spherical Harmonic data. This finding points towards
        the possible sustainability issues for irrigation in the basin
        and requires further validation using piezometer groundwater-
        level measurements. Future opportunities exist to further
        constrain the generated water balance variables and their
        associated errors within process-based models and with
        additional data.}",
          doi = {10.5194/hess-30-525-2026},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2026HESSD..30..525M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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