Skip to main content
Log in

Evaluation of the glacial isostatic adjustment (GIA) models for Antarctica based on GPS vertical velocities

  • Research Paper
  • Published:
Science China Earth Sciences Aims and scope Submit manuscript

Abstract

Due to the scarcity of data, modeling the glacial isostatic adjustment (GIA) for Antarctica is more difficult than it is for the ancient ice sheet area in North America and Northern Europe. Large uncertainties are observed in existing GIA models for Antarctica. Modern space-based geodetic measurements provide checks and constraints for GIA models. The present-day uplift velocities of global positioning system (GPS) stations at 73 stations in Antarctica and adjacent regions from 1996 to 2014 have been estimated using GAMIT/GLOBK version 10.5 with a colored noise model. To easily analyze the effect of difference sources on the vertical velocities, and for easy comparison with both GIA model predictions and GPS results from Argus et al. (2014) and Thomas et al. (2011), seven sub-regions are divided. They are the northern Antarctic Peninsula, the Filchner-Ronne Ice Shelf, the Amundsen Sea coast, the Ross Ice Shelf, Mount Erebus, inland Southwest Antarctica and the East Antarctic coast, respectively. The results show that the fast uplift in the north Antarctic Peninsula and Pine Island Bay regions may be caused by the elastic response to snow and ice mass loss. The fast subsidence near Mount Erebus may be related to the activity of a magma body. The uplift or subsidence near the East Antarctic coast is very slow while the uplift for the rest regions is mainly caused by GIA. By analyzing the correlation and the associated weighted root mean square (WRMS) between the GIA predictions and the GPS velocities, we found that the ICE-6G_C (VM5a) model and the Geruo13 model show the most consistency with our GPS results, while the W12a and IJ05_R2 series models show poor consistency with our GPS results. Although improved greatly in recent years, the GIA modeling in Antarctica still lags behind the modeling of the North American. Some GPS stations, for example the Bennett Nunatak station (BENN), have observed large discrepancies between GIA predictions and GPS velocities. Because of the large uncertainties in calculating elastic responses due to the significant variations of ice and snow loads, the GPS velocities still cannot be used as a precise constraint on GIA models.

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.

Similar content being viewed by others

References

  • Altamimi Z, Collilieux X. 2009. IGS contribution to the ITRF. J Geod, 83: 375–383

    Article  Google Scholar 

  • Argus D F, Peltier W R, Drummond R, Moore A W. 2014. The Antarctica component of postglacial rebound model ICE-6GC (VM5a) based on GPS positioning, exposure age dating of ice thicknesses, and relative sea level histories. Geophys J Int, 198: 537–563

    Article  Google Scholar 

  • Argus D F, Peltier W R. 2010. Constraining models of postglacial rebound using space geodesy: A detailed assessment of model ICE-5G (VM2) and its relatives. Geophys J Int, 107: 697–723

    Google Scholar 

  • Blewitt G, Lavallée D. 2003. Effect of annual signals on geodetic velocity. J Geophys Res, 108: 2010

    Google Scholar 

  • Boening C, Lebsock M, Landerer F, Stephens G. 2012. Snowfall-driven mass change on the East Antarctic ice sheet. Geophys Res Lett, 39: L21501

    Google Scholar 

  • E Dong Chen, Zhang S K. 2006. Infrastructure and progress of international Antarctic geodetic reference framework (in Chinese). J Geodesy Geody, 26: 104–108

    Google Scholar 

  • Geruo A, Wahr J, Zhong S. 2013. Computations of the viscoelastic response of a 3-D compressible Earth to surface loading: An application to Glacial Isostatic Adjustment in Antarctica and Canada. Geophys J Int, 192: 557–572

    Article  Google Scholar 

  • Ivins E R, James T S, Wahr J, Schrama O E J, Landerer F W, Simon K M. 2013. Antarctic contribution to sea level rise observed by GRACE with improved GIA correction. J Geophys Res-Solid Earth, 118: 3126–3141

    Article  Google Scholar 

  • Jiang W P, Zhou X H. 2015. Effect of the span of Australian GPS coordinate time series in establishing an optimal noise model. Sci China Earth Sci, 58: 523–539

    Article  Google Scholar 

  • Jiang W, Zhao Q, Liu H, Yang K. 2011. Application of the sub-network division in large scale GNSS reference station network (in Chinese). Geomat Inform Sci Wuhan Univ, 36: 389–391

    Google Scholar 

  • King M A, Altamimi Z, Boehm J, Bos M, Dach R, Elosegui P, Fund F, Hernández-Pajares M, Lavallee D, Mendes Cerveira P J, Penna N, Riva R E M, Steigenberger P, van Dam T, Vittuari L, Williams S, Willis P. 2010. Improved constraints on models of glacial isostatic adjustment: A review of the contribution of ground-based geodetic observations. Surv Geophys, 31: 465–507

    Article  Google Scholar 

  • King M A, Santamaría-Gómez A. 2016. Ongoing deformation of Antarctica following recent great earthquakes. Geophys Res Lett, 43: 1918–1927

    Article  Google Scholar 

  • Li W, Ju X, Shen Y, Zhang Z. 2014. Vertical deformation analysis of Antarctic GNSS stations combined using GNSS and GRACE data. Chin J Polar Res, 26: 238–243

    Google Scholar 

  • Li F, Ma C, Zhang S K, Lei J, Hao W, Zhang Q, Li W. 2016. Noise analysis of the coordinate time series of the continuous GPS station and the deformation patterns in the Antarctic Peninsula (in Chinese). Chin J Geophys, 59: 2402–2412

    Google Scholar 

  • Ma C, Li F, Zhang S K, Lei J, E D, Hao W, Zhang Q. 2016. The coordinate time series analysis of continuous GPS stations in the Antarctic Peninsula with consideration of common mode error (in Chinese). Chin J Geophys, 59: 2783–2795

    Google Scholar 

  • Milne G A, Davis J L, Mitrovica J X, Scherneck H G, Johansson J M, Vermeer M, Koivula H. 2001. Space-geodetic constraints on glacial isostatic adjustment in Fennoscandia. Science, 291: 2381–2385

    Article  Google Scholar 

  • Mitrovica J X, Gomez N, Clark P U. 2009. The sea-level fingerprint of West Antarctic collapse. Science, 323: 753

    Article  Google Scholar 

  • Nield G, Whitehouse P, King M, Clarke P. 2015. Glacial Isostatic Adjustment on the Siple Coast. Vienna: EGU General Assembly Conference Abstracts, 17: 10494

    Google Scholar 

  • Nikolaidis R. 2002. Observation of geodetic and seismic deformation with the Global Positioning System. Dissertation for Doctoral Degree. San Diego: University of California

  • Park K D, Nerem R S, Davis J L, Schenewerk M S, Milne G A, Mitrovica J X. 2002. Investigation of glacial isostatic adjustment in the northeast U. S. using GPS measurements. Geophys Res Lett, 29: 1509

    Article  Google Scholar 

  • Paulson A, Zhong S, Wahr J. 2007. Inference of mantle viscosity from GRACE and relative sea level data. Geophys J Int, 171: 497–508

    Article  Google Scholar 

  • Peltier W R. 2004. Global glacial isostasy and the surface of the ice-age Earth: The ICE-5G (VM2) model and GRACE. Annu Rev Earth Planet Sci, 32: 111–149

    Article  Google Scholar 

  • Peltier W R, Argus D F, Drummond R. 2015. Space geodesy constrains ice age terminal deglaciation: The global ICE-6GC (VM5a) model. J Geophys Res-Solid Earth, 120: 450–487

    Article  Google Scholar 

  • Prandi P, Cazenave A, Becker M. 2009. Is coastal mean sea level rising faster than the global mean? A comparison between tide gauges and satellite altimetry over 1993–2007. Geophys Res Lett, 36: L05602

    Article  Google Scholar 

  • Pritchard M. 2010. Deformation explained. Nat Geosci, 3: 515

    Article  Google Scholar 

  • Takada Y, Fukushima Y. 2013. Volcanic subsidence triggered by the 2011 Tohoku earthquake in Japan. Nat Geosci, 6: 637–641

    Article  Google Scholar 

  • Thomas I D, King M A, Bentley M J, Whitehouse P L, Penna N T, Williams S D P, Riva R E M, Lavallee D A, Clarke P J, King E C, Hindmarsh R C A, Koivula H. 2011. Widespread low rates of Antarctic glacial isostatic adjustment revealed by GPS observations. Geophys Res Lett, 38: L22302

    Google Scholar 

  • Wang H. 2009. Glacial isostatic adjustment model constrained by geodetic measurements and relative sea level. Chin J Geophys, 52: 2450–2460

    Google Scholar 

  • Wang H, Wu P. 2006. Effects of lateral variations in lithospheric thickness and mantle viscosity on glacially induced surface motion on a spherical, self-gravitating Maxwell Earth. Earth Planet Sci Lett, 244: 576–589

    Article  Google Scholar 

  • Wang H, Wu P, van der Wal W. 2008. Using postglacial sea level, crustal velocities and gravity-rate-of-change to constrain the influence of thermal effects on mantle lateral heterogeneities. J Geodyn, 46: 104–117

    Article  Google Scholar 

  • Whitehouse P L, Bentley M J, Le Brocq A M. 2012a. A deglacial model for Antarctica: Geological constraints and glaciological modelling as a basis for a new model ofAntarctic glacial isostatic adjustment. Quat Sci Rev, 32: 1–24

    Article  Google Scholar 

  • Whitehouse P L, Bentley M J, Milne G A, King M A, Thomas I D. 2012b. A new glacial isostatic adjustment model for Antarctica: Calibrated and tested using observations of relative sea-level change and present-day uplift rates. Geophys J Int, 190: 1464–1482

    Article  Google Scholar 

  • Wilson T J, Bevis M, Konfal S, Barletta V, Aster R, Chaput J, Heeszel D, Wiens D, Anandakrishnan S, Dalziel I, Huerta A, Kendrick E, Nyblade A, Winberry P, Smalley B, Lloyd A. 2015. Understanding glacial iso-static adjustment and ice mass change in Antarctica using integrated GPS and seismology observations. Vienna: EGU General Assembly Conference Abstracts. 17: 7762

  • Wu P, Wang H. 2006. Effects of mode coupling and location of rotational axis on glacial induced rotational deformation in a laterally heterogeneous viscoelastic earth. Geophys J Int, 167: 853–859

    Article  Google Scholar 

  • Zhu X H, Sun F P. 2005. Detection of postglacial rebound by using VLBI data (in Chinese). Chin J Geophys, 48: 308–313

    Google Scholar 

Download references

Acknowledgements

We thank MIT/SID for provision of GAMIT/GLOBK software suit; IGS, POLENET for IGS and POLENET GPS data (all these data are downloaded from the FTP service garner.ucsd.edu/pub/), CACSM (Chinese Antarctica Center of Surveying and Mapping) for data of ZHON; and all the researchers and agents for the GIA models used in this study. This work was supported by the National Key Research and Development Program of China (Grant No. 2017YFA0603104), the State Key Program of the National Natural Science Foundation of China (Grant No. 41531069), and the Independent Scientific Research Program for Cross-disciplinary of Wuhan University (Grant No. 2042017kf0209).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shengkai Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, F., Ma, C., Zhang, S. et al. Evaluation of the glacial isostatic adjustment (GIA) models for Antarctica based on GPS vertical velocities. Sci. China Earth Sci. 63, 575–590 (2020). https://doi.org/10.1007/s11430-018-9532-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11430-018-9532-5

Keywords

Navigation