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Combined Adjustment of GRACE and Geodetic Observations of Vertical Crustal Motion in the Great Lakes Region

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Reference Frames for Applications in Geosciences

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 138))

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Abstract

We combine GRACE-derived rates of vertical crustal motion, joint water gauge and satellite altimetry and GPS vertical velocities in the Great Lakes region. The combined vertical motion model is realized via a least-squares adjustment procedure, including variance-component estimation and robust outlier detection. This is necessary to ensure reliable estimates of the relative errors in the least-squares adjustment (via re-scaling of data variance-covariance matrices) and to ensure that the vertical motion model is not distorted by erroneous data. The combined vertical motion model shows a subsidence of 1–2 mm/year along the southern shores and an uplift of 3–4 mm/year along the northern shores generally consistent with the models of postglacial rebound in North America.

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References

  • Braun A, Kuo CY, Shum CK, Wu P, van der Wal W, Fotopoulos G (2008) Glacial isostatic adjustment at the Laurentide ice sheet margin: models and observations in the Great Lakes region. J Geodyn 46(3–5):165–173

    Article  Google Scholar 

  • Dollinger MB, Staudte RG (1991) Influence functions of iteratively reweighted least squares estimators. J Am Stat Assoc 86(415):709–716

    Article  Google Scholar 

  • Hekimoglu S, Berber M (2003) Effectiveness of robust methods in heterogeneous linear models. J Geod 76:706–713

    Article  Google Scholar 

  • Kuo CY, Shum CK, Braun A, Cheng KC, Yi Y (2008) Vertical motion determined by using satellite altimetry and tide gauges. Terr Atmos Ocean Sci 19(1–2):21–35

    Article  Google Scholar 

  • NGS (2008) The national geodetic survey ten-year plan: mission, vision, and strategy 2008–2018. Silver Spring, MD, U.S. Department of Commerce, National Oceanic and Atmospheric Administration, National Ocean Service. http://www.ngs.noaa.gov/INFO/NGS10yearplan.pdf

  • Rangelova E, Fotopoulos G, Sideris MG (2009a) A dynamic reference surface for heights in Canada. Geomatica 63(4):333–340

    Google Scholar 

  • Rangelova E, Fotopoulos G, Sideris MG (2009b) On the use of iterative re-weighting least-squares and outlier detection for empirically modelling rates of vertical displacement. J Geodesy 83:523–535

    Article  Google Scholar 

  • Rodell M et al (2004) The global land data assimilation system. Bull Am Meteorol Soc 85(3):381–394

    Article  Google Scholar 

  • Rousseeuw PJ, Croux C (1993) Alternatives to the median absolute deviation. J Am Stat Assoc 88(424):1273–1283

    Article  Google Scholar 

  • Sella GF, Stein S, Dixon TH, Craymer M, James TS, Mazzotti S, Dokka RK (2007) Observation of glacial isostatic adjustment in “stable” North America with GPS. Geophys Res Lett 34:L02306. doi:10.1029/2006GL027081

    Article  Google Scholar 

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

  • Tapley BD, Bettadpur S, Watkins M, Reigber C (2004) The gravity recovery and climate experiment: mission overview and early results. Geophys Res Lett 31:L09607. doi:10.1029/2004GL019920

    Article  Google Scholar 

  • van der Wal W, Schotman HHA, Vermeersen LLA (2004) Geoid heights due to a crustal low viscosity zone in glacial isostatic adjustment modeling: a sensitivity analysis. GOCE Geophys Res Lett 31:L05608. doi:10.1029/2003GL019139

    Article  Google Scholar 

  • Véronneau M, Héroux P (2007) Canadian height reference system modernization: rational, status and plans. Report Natural Resources of Canada

    Google Scholar 

  • Wahr J, Wingham D, Bentley C (2000) A method of combining ICESat and GRACE satellite data to constrain Antarctic mass balance. J Geophys Res 105(B7):16,279–16,294

    Article  Google Scholar 

  • Yang Y (1994) Robust estimation for dependent observations. Manuscr Geod 19:10–17

    Google Scholar 

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Acknowledgements

The authors gratefully acknowledge Dr. W. van der Wal for providing the output of the postglacial rebound model simulations. The anonymous reviewers are acknowledged for their helpful comments. Financial support is provided by the GEOIDE NCE and NSERC to the second author.

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Correspondence to E. Rangelova .

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Rangelova, E., Sideris, M.G. (2013). Combined Adjustment of GRACE and Geodetic Observations of Vertical Crustal Motion in the Great Lakes Region. In: Altamimi, Z., Collilieux, X. (eds) Reference Frames for Applications in Geosciences. International Association of Geodesy Symposia, vol 138. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32998-2_34

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