A new glacial isostatic adjustment model for Antarctica: calibrated and tested using observations of relative sea‐level change and present‐day uplift rates

We present a glacial isostatic adjustment (GIA) model for Antarctica. This is driven by a new deglaciation history that has been developed using a numerical ice-sheet model, and is constrained to fit observations of past ice extent. We test the sensitivity of the GIA model to uncertainties in the deglaciation history, and seek earth model parameters that minimize the misfit of model predictions to relative sea-level observations from Antarctica. We find that the relative sea-level predictions are fairly insensitive to changes in lithospheric thickness and lower mantle viscosity, but show high sensitivity to changes in upper mantle viscosity and constrain this value (95 per cent confidence) to lie in the range 0.8–2.0 × 1021 Pa s. Significant misfits at several sites may be due to errors in the deglaciation history, or unmodelled effects of lateral variations in Earth structure. When we compare our GIA model predictions with elastic corrected GPS uplift rates we find that the predicted rates are biased high (weighted mean bias = 1.8mm yr–1) and there is a weighted root-mean-square (WRMS) error of 2.9mm yr–1. In particular, our model systematically over-predicts uplift rates in the Antarctica Peninsula, and we attempt to address this by adjusting the Late Holocene loading history in this region, within the bounds of uncertainty of the deglaciation model. Using this adjusted model the weighted mean bias improves from 1.8 to 1.2mm yr–1, and the WRMS error is reduced to 2.3mm yr–1, compared with 4.9mm yr–1 for ICE-5G v1.2 and 5.0mm yr–1 for IJ05. Finally, we place spatially variable error bars on our GIA uplift rate predictions, taking into account uncertainties in both the deglaciation history and modelled Earth viscosity structure. This work provides a new GIA correction for the GRACE data in Antarctica, thus permitting more accurate constraints to be placed on current ice-mass change.

[1]  A. Payne,et al.  The Glimmer community ice sheet model , 2009 .

[2]  E. Ivins,et al.  Ocean loading effects on the prediction of Antarctic glacial isostatic uplift and gravity rates , 2010 .

[3]  J. Milliman,et al.  Reconsidering melt-water pulses 1A and 1B: Global impacts of rapid sea-level rise , 2004 .

[4]  Michael Bevis,et al.  Geodetic measurements of vertical crustal velocity in West Antarctica and the implications for ice mass balance , 2009 .

[5]  J. Mitrovica,et al.  The influence of a finite glaciation phase on predictions of post-glacial isostatic adjustment , 1995 .

[6]  Byron D. Tapley,et al.  Antarctic regional ice loss rates from GRACE , 2008 .

[7]  P. Whitehouse,et al.  Geological constraints on glacio-isostatic adjustment models of relative sea-level change during deglaciation of Prince Gustav Channel, Antarctic Peninsula , 2011 .

[8]  Paul Johnston,et al.  Sea‐level change, glacial rebound and mantle viscosity fornorthern Europe , 1998 .

[9]  Ó. Ingólfsson,et al.  Holocene glacial history and sea-level changes on James Ross Island, Antarctic Peninsula , 1997 .

[10]  J. Mitrovica,et al.  Haskell [1935] revisited , 1996 .

[11]  J. Mitrovica,et al.  Near-field hydro-isostasy: the implementation of a revised sea-level equation , 1999 .

[12]  M. Ritzwoller,et al.  Crustal and upper mantle structure beneath Antarctica and surrounding oceans , 2001 .

[13]  C. Zweck,et al.  Glacio-isostasy and Glacial Ice Load at Law Dome, Wilkes Land, East Antarctica , 2000, Quaternary Research.

[14]  K. Lambeck,et al.  External Geophysics, climate and environment (Climate) Sea-level change through the last glacial cycle: geophysical, glaciological and palaeogeographic consequences , 2004 .

[15]  J. Mitrovica,et al.  On post-glacial sea level: I. General theory , 2003 .

[16]  R. Kopp,et al.  Probabilistic assessment of sea level during the last interglacial stage , 2009, Nature.

[17]  Guillaume Ramillien,et al.  Interannual variations of the mass balance of the Antarctica and Greenland ice sheets from GRACE , 2006 .

[18]  P. Clark,et al.  Ice Sheet and Solid Earth Influences on Far-Field Sea-Level Histories , 2005, Science.

[19]  N. Cox,et al.  Relative sea level curves for the South Shetland Islands and Marguerite Bay, Antarctic Peninsula , 2005 .

[20]  M. Leng,et al.  Late Quaternary environmental and climate history of Rauer Group, East Antarctica , 2010 .

[21]  Z. Martinec,et al.  Contribution of glacial-isostatic adjustment to the geocenter motion , 2011 .

[22]  Philippe Huybrechts,et al.  Sea-level changes at the LGM from ice-dynamic reconstructions of the Greenland and Antarctic ice sheets during the glacial cycles , 2002 .

[23]  Kenji Kawamura,et al.  1-D-ice flow modelling at EPICA Dome C and Dome Fuji, East Antarctica , 2007 .

[24]  On Postglacial Sea Level , 2007 .

[25]  Antony J. Payne,et al.  An improved Antarctic dataset for high resolution numerical ice sheet models (ALBMAP v1) , 2010 .

[26]  Peter J. Clarke,et al.  Widespread low rates of Antarctic glacial isostatic adjustment revealed by GPS observations , 2011 .

[27]  M. J. Bentley,et al.  First exposure ages from the Amundsen Sea Embayment, West Antarctica: The Late Quaternary context for recent thinning of Pine Island, Smith, and Pope Glaciers , 2008 .

[28]  W. Peltier GLOBAL GLACIAL ISOSTASY AND THE SURFACE OF THE ICE-AGE EARTH: The ICE-5G (VM2) Model and GRACE , 2004 .

[29]  John B. Anderson,et al.  The marine record of deglaciation of the South Shetland Islands, Antarctica since the Last Glacial Maximum , 2011 .

[30]  D. Adamson,et al.  Holocene isostasy and late Cenozoic development of landforms including Beaver and Radok Lake basins in the Amery Oasis, Prince Charles Mountains, Antarctica , 1997, Antarctic Science.

[31]  Geoffrey Blewitt,et al.  Rise of the Ellsworth mountains and parts of the East Antarctic coast observed with GPS , 2011 .

[32]  A. Paulson,et al.  The rotational stability of an ice-age earth , 2005 .

[33]  J. Kusche,et al.  Resolving sea level contributions by identifying fingerprints in time-variable gravity and altimetry , 2012 .

[34]  J. Mitrovica,et al.  A new inference of mantle viscosity based upon joint inversion of convection and glacial isostatic adjustment data , 2004 .

[35]  Anne M. Le Brocq,et al.  A deglacial model for Antarctica: geological constraints and glaciological modelling as a basis for a new model of Antarctic glacial isostatic adjustment , 2012 .

[36]  Michael B. Heflin,et al.  Simultaneous estimation of global present-day water transport and glacial isostatic adjustment , 2010 .

[37]  J. Mitrovica,et al.  Postglacial sea-level change on a rotating Earth , 1998 .

[38]  G. Milne,et al.  Modelling Antarctic sea-level data to explore the possibility of a dominant Antarctic contribution to meltwater pulse IA , 2007 .

[39]  John Turner,et al.  Recent Rapid Regional Climate Warming on the Antarctic Peninsula , 2003 .

[40]  B. Tapley,et al.  Antarctic mass rates from GRACE , 2006 .

[41]  J. Jouzel,et al.  A Comparison of Deep Antarctic Ice Cores and Their Implications for Climate Between 65,000 and 15,000 Years Ago , 1989, Quaternary Research.

[42]  I. Goodwin Holocene Deglaciation, Sea-Level Change, and the Emergence of the Windmill Islands, Budd Coast, Antarctica , 1993, Quaternary Research.

[43]  David Pollard,et al.  Modelling West Antarctic ice sheet growth and collapse through the past five million years , 2009, Nature.

[44]  G. Marshall,et al.  A doubling in snow accumulation in the western Antarctic Peninsula since 1850 , 2008 .

[45]  Eric Rignot,et al.  Accelerated ice discharge from the Antarctic Peninsula following the collapse of Larsen B ice shelf , 2004 .

[46]  E. Ivins,et al.  Antarctic glacial isostatic adjustment: a new assessment , 2005, Antarctic Science.

[47]  J. Okuno,et al.  Late Pleistocene and Holocene melting history of the Antarctic ice sheet derived from sea-level variations , 2000 .

[48]  D. Hodgson,et al.  Holocene relative sea-level change and deglaciation on Alexander Island, Antarctic Peninsula, from elevated lake deltas. , 2009 .

[49]  I. Velicogna Increasing rates of ice mass loss from the Greenland and Antarctic ice sheets revealed by GRACE , 2009 .

[50]  E. Ivins,et al.  Lateral viscosity variations beneath Antarctica and their implications on regional rebound motions and seismotectonics , 2004 .

[51]  J. Andrews A geomorphological study of post-glacial uplift,: With particular reference to Arctic Canada, , 1970 .

[52]  C. Baroni,et al.  A new Holocene relative sea‐level curve for Terra Nova Bay, Victoria Land, Antarctica , 2004 .

[53]  J. Wahr,et al.  Measurements of Time-Variable Gravity Show Mass Loss in Antarctica , 2006, Science.

[54]  E. Ivins,et al.  The influence of 5000 year-old and younger glacial mass variability on present-day crustal rebound in the Antarctic Peninsula , 2000 .

[55]  Bob E. Schutz,et al.  Glacial Isostatic Adjustment over Antarctica from combined ICESat and GRACE satellite data , 2009 .

[56]  D. Gore,et al.  Indications of Holocene sea-level rise in Beaver Lake, East Antarctica , 2007, Antarctic Science.

[57]  P. Whitehouse,et al.  A new Holocene relative sea level curve for the South Shetland Islands, Antarctica , 2011 .

[58]  D. L. Anderson,et al.  Preliminary reference earth model , 1981 .

[59]  Andrea Morelli,et al.  Seismological imaging of the Antarctic continental lithosphere: a review , 2004 .

[60]  Axel Rülke,et al.  On-land ice loss and glacial isostatic adjustment at the drake passage: 2003-2009 , 2011 .

[61]  Catherine Ritz,et al.  Modeling the evolution of Antarctic ice sheet over the last 420,000 years: Implications for altitude changes in the Vostok region , 2001 .

[62]  K. Lambeck,et al.  The melting history of the late Pleistocene Antarctic ice sheet , 1988, Nature.

[63]  Byron D. Tapley,et al.  Accelerated Antarctic ice loss from satellite gravity measurements , 2009 .

[64]  J. Mitrovica,et al.  On post-glacial sea level – II. Numerical formulation and comparative results on spherically symmetric models , 2005 .