Skip to main content

GRACE-Derived Linear and Non-linear Secular Mass Variations Over Greenland

  • Conference paper
  • First Online:
VII Hotine-Marussi Symposium on Mathematical Geodesy

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 137))

Abstract

In the past, GRACE (Gravity Recovery And Climate Experiment) monthly gravity field solutions have mainly been exploited to derive secular and seasonal mass changes on the Earth’s surface. After seven years in operational mode, the satellite mission makes accelerated and decelerated mass variations detectable. Here we investigate the temporal characteristics of secular trends by fitting both linear and higher-order polynomials to the mass-change time-series. Our findings have been derived from GRACE gravity field time-series provided by CSR, GFZ and JPL. As a case study, we look at recent ice-mass variations over Greenland. Based on various model selection criteria (Akaike and Bayesian information criterion, cross-validation, hypotheses testing), our investigations show that linear regression is unable to describe recent deglaciation. Instead, the secular trend is best represented by a second-order polynomial, confirming accelerated deglaciation of the Greenland ice sheets, which increased by 250% between April 2002 and March 2009.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19(6): 716–723, DOI 10.1109/TAC.1974.1100705

    Article  Google Scholar 

  • Baur O, Kuhn M, Featherstone WE (2009) GRACE-derived ice-mass variations over Greenland by accounting for leakage effects. J Geophys Res 114, B06407, DOI 10.1029/2008JB006239

    Article  Google Scholar 

  • Burnham KP, Anderson DR (1998) Model selection and inference – a practical information-theoretic approach. Springer, New York

    Google Scholar 

  • Chen JL, Wilson CR, Tapley BD (2006) Satellite gravity measurements confirm accelerated melting of Greenland ice sheet. Science 313: 1958–1960, DOI 10.1126/science.1129007

    Article  Google Scholar 

  • Featherstone WE, Sproule DM (2006) Fitting AUSGeoid98 to the Australian height datum using GPS data and least squares collocation: application of a cross-validation technique. Survey Review 38(301): 573–582

    Article  Google Scholar 

  • Hurvich CM, Tsai CL (1989) Regression and time series model selection in small samples. Biometrika 76: 297–307

    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

    Article  Google Scholar 

  • Schwarz G (1978) Estimating the dimension of a model. Ann Stat 6: 461–464

    Article  Google Scholar 

  • Velicogna I, Wahr J (2006) Acceleration of Greenland ice mass loss in spring 2004. Nature 443: 329–331, DOI 10.1038/nature05168

    Article  Google Scholar 

  • Wahr J, Molenaar M, Bryan F (1998) Time variability of the Earth’s gravity field: Hydrological and oceanic effects and their possible detection using GRACE. J Geophys Res 103:30, 205–30, 229

    Google Scholar 

  • Wouters B, Chambers D, Schrama EJO (2008) GRACE observes small-scale mass loss in Greenland. Geophys Res Lett 35, L20501, DOI 10.1029/2008GL034816

    Article  Google Scholar 

Download references

Acknowledgements

WEF and MK would like to thank the Australian Research Council for funding through project grants DP0663020 and DP0877381. This is TIGeR publication no. 213.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Oliver Baur .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Baur, O., Kuhn, M., Featherstone, W.E. (2012). GRACE-Derived Linear and Non-linear Secular Mass Variations Over Greenland. In: Sneeuw, N., NovĂ¡k, P., Crespi, M., SansĂ², F. (eds) VII Hotine-Marussi Symposium on Mathematical Geodesy. International Association of Geodesy Symposia, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22078-4_57

Download citation

Publish with us

Policies and ethics