Skip to main content

Advertisement

Log in

Bias in GRACE estimates of ice mass change due to accompanying sea-level change

  • Original article
  • Published:
Journal of Geodesy Aims and scope Submit manuscript

Abstract

Observations of spatio-temporal variations in the geopotential using the GRACE satellites have been used to estimate recent mass fluxes from polar ice sheets and glaciers. However, these estimates have not considered the potential bias associated with the migration of water that accompanies the ice melt. This migration is driven by the diminished gravitational attraction of the melting ice reservoir, and this migration, as well as the crustal loading it induces, will contribute to the observed geopotential anomaly. The extent to which this contribution contaminates the ice mass flux estimates depends on how far the smoothing filters applied to the GRACE data extend beyond the ice margins into the ocean. Using the Antarctic Peninsula as a case study, we estimate the magnitude of this bias for a range of melt areas and Gaussian smoothing filter radii. We conclude that GRACE estimates of ice mass loss over the Antarctic Peninsula are systematically overestimating the loss by up to 10 \(\%\) for filter radii of less than 500 km.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Chambers DP, Wahr J, Nerem RS (2004) Preliminary observations of global ocean mass variations with GRACE. Geophys Res Lett 31:L13310. doi:10.1029/2004GL020461

    Article  Google Scholar 

  • Chambers DP, Tamisiea ME, Nerem RS, Ries JC (2007) Effects of ice melting on grace observations of ocean mass trends. Geophys Res Lett 34(5):L05,610. doi:10.1029/2006GL029171

  • Chen JL, Wilson CR, Tapley BD, Blankenship D, Young D (2008) Antarctic regional ice loss rates from GRACE. Earth Planet Sci Lett 266:140–148. doi:10.1016/j.epsl.2007.10.057

    Article  Google Scholar 

  • Gomez N, Mitrovica JX, Tamisiea ME, Clark PU (2010) A new projection of sea level change in response to collapse of marine sectors of the Antarctic ice sheet. Geophys J Int 180:623–634. doi:10.1111/j.1365-246X.2009.04419.x

    Article  Google Scholar 

  • Han S, Simons FJ (2008) Spatiospectral localization of global geopotential fields from the gravity recovery and climate experiment (GRACE) reveals the coseismic gravity change owing to the 2004 Sumatra-Andaman earthquake. J Geophys Res 113:B01,405. doi:10.1029/2007JB004927

  • Ivins ER, Watkins MM, Yuan D, Dietrich R, Casassa G, Rülke A (2011) On-land ice loss and glacial isostatic adjustment at the drake passage: 2003–2009. J Geophys Res 116:B02,403. doi:10.1029/2010JB007607

  • Jacob T, Wahr J, Pfeffer WT, Swenson S (2012) Recent contributions of glaciers and ice caps to sea level rise. Nature 483. doi:10.1038/nature10847

  • Jeans JH (1923) The propagation of earthquake waves. R Soc Lond Proc Ser A 102:554–574

    Google Scholar 

  • Kendall RA, Mitrovica JX, Milne GA (2005) On post-glacial sea level - II. Numerical formulation and comparative results on spherically symmetric models. Geophys J Int 161:679–706. doi:10.1111/j.1365-246X.2005.02553.x

    Article  Google Scholar 

  • Luthcke SB, Zwally HJ, Abdalati W, Rowlands DD, Ray RD, Nerem RS, Lemoine FG, McCarthy JJ, Chinn DS (2006) Recent Greenland ice mass loss by drainage system from satellite gravity observations. Science 314:1286–1289. doi:10.1126/science.1130776

    Google Scholar 

  • Milne GA, Mitrovica JX (1998) Postglacial sea-level change on a rotating Earth. Geophys J Int 133:1–19. doi:10.1046/j.1365-246X.1998.1331528.x

    Article  Google Scholar 

  • Riva REM, Bamber JL, Lavallée DA, Wouters B (2011) Sea-level fingerprint of continental water and ice mass change from GRACE. Geophys Res Lett 37:L19605. doi:10.1029/2010GL044770

    Google Scholar 

  • Rowlands DD, Luthcke SB, Klosko SM, Lemoine FGR, Chinn DS, McCarthy JJ, Cox CM, Anderson OB (2005) Post-processing removal of correlated errors in GRACE data. Geophys Res Lett 32:L04310. doi:10.1029/2004GL021908

    Article  Google Scholar 

  • Simons FJ, Dahlen FA (2006) Spherical Slepian functions and the polar gap in geodesy. Geophys J Int 166:1039–1061. doi:10.1111/j.1365-246X.2006.03065.x. arXiv:math/0603271

    Google Scholar 

  • Swenson S, Wahr J (2002) Methods for inferring regional surface-mass anomalies from gravity recovery and climate experiment (GRACE) measurements of time-variable gravity. J Geophys Res 107(B9):2193. doi:10.1029/2001JB000576

    Article  Google Scholar 

  • Swenson S, Wahr J (2006) Post-processing removal of correlated errors in GRACE data. Geophys Res Lett 33:L08402. doi:10.1029/2005GL025285

    Article  Google Scholar 

  • Tamisiea ME, Mitrovica JX, Davis JL (2007) GRACE gravity data constrain ancient ice geometries and continental dynamics over Laurentia. Science 316:881–883. doi:10.1126/science.1137157

    Article  Google Scholar 

  • Tamisiea ME, Hill EM, Ponte RM, Davis JL, Velicogna I (2010) Impact of self-attraction and loading on the annual cycle in sea level. J Geophys Res (Oceans) 115(C14):C07004. doi:10.1029/2009JC005687

    Article  Google Scholar 

  • Tapley BD, Bettadpur S, Ries JC, Thompson PF, Watkins MM (2004) GRACE measurements of mass variability in the Earth system. Science 305:503–506. doi:10.1126/science.1099192

    Article  Google Scholar 

  • Velicogna I, Wahr J (2006a) Acceleration of Greenland ice mass loss in spring. Nature 443:329–331. doi:10.1038/nature05168

    Article  Google Scholar 

  • Velicogna I, Wahr J (2006b) Measurements of time-variable gravity show mass loss in Antarctica. Science 311:1754–1756. doi:10.1126/science.1123785

    Article  Google Scholar 

  • Wahr J, Swenson S, Zlotnicki V, Velicogna I (2004) Time-variable gravity from GRACE: first results. Geophys Res Lett 31:L11501. doi:10.1029/2004GL019779

    Article  Google Scholar 

  • Wahr J, Swenson S, Velicogna I (2006) Accuracy of GRACE mass estimates. Geophys Res Lett 33:L06401. doi:10.1029/2005GL025305

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to thank Frederik J. Simons for the use of his MATLAB code library, and Chris Harig for useful discussions. MGS was supported by a Canadian Institute for Advanced Research Postdoctoral Fellowship (CIFAR).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. G. Sterenborg.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sterenborg, M.G., Morrow, E. & Mitrovica, J.X. Bias in GRACE estimates of ice mass change due to accompanying sea-level change. J Geod 87, 387–392 (2013). https://doi.org/10.1007/s00190-012-0608-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00190-012-0608-x

Keywords

Navigation