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Inverting sea surface height data yields Greenland ice mass changes (1993–2019): a proof of concept

Coulson, Sophie, Lloyd, Andrew, Bao, Xiyuan, Mitrovica, Jerry X., Dangendorf, Sönke, Pan, Linda, Valencic, Natasha, Tamisiea, Mark E., Al–Attar, David, and Heathcotte, Daniel, 2026. Inverting sea surface height data yields Greenland ice mass changes (1993–2019): a proof of concept. Geophysical Journal International, 246(2):ggag187, doi:10.1093/gji/ggag187.

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@ARTICLE{2026GeoJI.246..187C,
       author = {{Coulson}, Sophie and {Lloyd}, Andrew and {Bao}, Xiyuan and {Mitrovica}, Jerry X. and {Dangendorf}, S{\"o}nke and {Pan}, Linda and {Valencic}, Natasha and {Tamisiea}, Mark E. and {Al-Attar}, David and {Heathcotte}, Daniel},
        title = "{Inverting sea surface height data yields Greenland ice mass changes (1993--2019): a proof of concept}",
      journal = {Geophysical Journal International},
     keywords = {global change from geodesy, loading of the earth, sea level change, inverse theory},
         year = 2026,
        month = aug,
       volume = {246},
       number = {2},
          eid = {ggag187},
        pages = {ggag187},
     abstract = "{Previous work has demonstrated a significant correlation between the
        pattern of sea level change computed from a satellite-altimeter-
        based inference of Greenland ice mass flux from 1993--2019 and
        satellite sea surface height (SSH) observations adjacent to the
        island. However, a key question is unanswered in this detection;
        namely, what constraints on ice mass flux do the SSH
        observations provide? To address this issue, we perform a series
        of inversions of the available SSH data offshore Greenland. Our
        results indicate that such inversions are highly non-unique.
        However, we also demonstrate that robust inferences can be
        obtained by incorporating reasonable a priori constraints, in
        our case limiting the ice model to a small set of discs
        associated with the major drainage basins of the ice sheet that
        are proximal to the SSH observations. Our inversions in this
        case yield estimates of average ice mass loss in the range
        0.62--0.70 mm yr$^{{\ensuremath{-}}1}$ in units of equivalent
        global mean sea level change over the period 1993--2019, when the
        observations are corrected for the signal of dynamic sea level
        change. This inference agrees with independent ice altimeter-
        based estimates of Greenland ice sheet mass flux rates, showing
        broadly consistent relative ice mass loss rates across southern
        Greenland basins. Our analysis is the first to directly invert
        SSH observations for ice mass changes and we conclude that the
        consideration of such data, particularly in combination with
        other data sets (e.g. GRACE gravity, ice altimeter measurements,
        GNSS observations) has the potential to improve constraints on
        ice sheet mass changes in a warming world.}",
          doi = {10.1093/gji/ggag187},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2026GeoJI.246..187C},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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