Reconciling the ICE‐6G_C reconstruction of glacial chronology with ice sheet dynamics: The cases of Greenland and Antarctica

We describe a theoretical and numerical framework that has been developed to investigate the compatibility of the ICE-6G_C reconstruction of the glaciation histories of the Greenland and Antarctic ice sheets with the latest understanding of ice physics. The ICE-6G_C reconstruction has been produced solely on the basis of the theory of the glacial isostatic adjustment (GIA) process, and it has remained an issue as to whether such reconstructions of the time-dependent thickness variations of grounded continental ice sheets were compatible with physics-based ice mechanical considerations. Our analyses focus on the evolution over the last glacial cycle of these extent ice sheet complexes and demonstrate that the GIA-inferred models are entirely consistent with such considerations when uncertainties in (net) mass balance history are taken fully into account.

[1]  Thomas Dubos,et al.  The effect of indiscriminate nudging time on large and small scales in regional climate modelling: Application to the Mediterranean basin , 2010 .

[2]  Sivaprasad Gogineni,et al.  A new ice thickness and bed data set for the Greenland ice sheet: 1. Measurement, data reduction, and errors , 2001 .

[3]  M. England,et al.  Antarctic contribution to meltwater pulse 1A from reduced Southern Ocean overturning , 2014, Nature Communications.

[4]  W. Peltier,et al.  Laurentide ice sheet aspect ratio in models based on Glen’s flow law , 2000, Annals of Glaciology.

[5]  W. Peltier,et al.  Greenland glacial history and local geodynamic consequences , 2002 .

[6]  W. Peltier.  Mantle Viscosity and Ice-Age Ice Sheet Topography , 1996, Science.

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

[8]  Eric Rignot,et al.  Insights into spatial sensitivities of ice mass response to environmental change from the SeaRISE ice sheet modeling project II: Greenland , 2013, Journal of Geophysical Research: Earth Surface.

[9]  P. Clark,et al.  Sea-Level Fingerprinting as a Direct Test for the Source of Global Meltwater Pulse IA , 2002, Science.

[10]  Gregory J. Hakim,et al.  Coupled atmosphere–ocean data assimilation experiments with a low-order climate model , 2014, Climate Dynamics.

[11]  William H. Lipscomb,et al.  Ice-sheet model sensitivities to environmental forcing and their use in projecting future sea level (the SeaRISE project) , 2013, Journal of Glaciology.

[12]  W. Peltier,et al.  Space geodesy constrains ice age terminal deglaciation: The global ICE‐6G_C (VM5a) model , 2015 .

[13]  W. Peltier.  Glacial-Isostatic Adjustment—II. The Inverse Problem , 2007 .

[14]  W. Peltier,et al.  Impact of thermomechanical ice sheet coupling on a model of the 100 kyr ice age cycle , 1999 .

[15]  W. Peltier,et al.  Global Changes in Postglacial Sea Level: A Numerical Calculation , 1978, Quaternary Research.

[16]  W. Peltier,et al.  On the origins of Earth rotation anomalies: New insights on the basis of both “paleogeodetic” data and Gravity Recovery and Climate Experiment (GRACE) data , 2009 .

[17]  W. Peltier,et al.  Glacial isostasy and relative sea level: A global finite element model , 1978 .

[18]  Angelyn W. Moore,et al.  The Antarctica component of postglacial rebound model ICE-6G_C (VM5a) based on GPS positioning, exposure age dating of ice thicknesses, and relative sea level histories , 2014 .

[19]  W. R. Peltier,et al.  Postglacial variations in the level of the sea: Implications for climate dynamics and solid‐Earth geophysics , 1998 .

[20]  D. Pollard,et al.  Evolution of a coupled marine ice sheet–sea level model , 2011 .

[21]  C. Schoof.  Ice sheet grounding line dynamics: Steady states, stability, and hysteresis , 2007 .

[22]  Matt A. King,et al.  A new glacial isostatic adjustment model for Antarctica: calibrated and tested using observations of relative sea‐level change and present‐day uplift rates , 2012 .

[23]  Maureen E. Raymo,et al.  The Mid-Pliocene sea-level conundrum: Glacial isostasy, eustasy and dynamic topography , 2014 .

[24]  M. R. van den Broeke,et al.  Higher surface mass balance of the Greenland ice sheet revealed by high‐resolution climate modeling , 2009 .

[25]  W. Peltier,et al.  Terminating the 100 kyr ice age cycle , 1997 .

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

[27]  Michael H. Ritzwoller,et al.  Inferring surface heat flux distributions guided by a global seismic model: particular application to Antarctica , 2004 .

[28]  W. Peltier.  On the hemispheric origins of meltwater pulse 1a , 2005 .

[29]  B. Smith,et al.  Marine Ice Sheet Collapse Potentially Under Way for the Thwaites Glacier Basin, West Antarctica , 2014, Science.

[30]  H. Blatter.  Velocity and stress fields in grounded glaciers: a simple algorithm for including deviatoric stress gradients , 1995 .

[31]  Comment on “Ocean mass from GRACE and glacial isostatic adjustment” by D. P. Chambers et al. , 2012 .

[32]  Christian Schoof,et al.  Marine ice-sheet dynamics. Part 1. The case of rapid sliding , 2007, Journal of Fluid Mechanics.

[33]  W. Peltier.  The impulse response of a Maxwell Earth , 1974 .

[34]  C. Ritz,et al.  Sensitivity of a Greenland ice sheet model to ice flow and ablation parameters: consequences for the evolution through the last climatic cycle , 1996 .

[35]  K. Lambeck,et al.  Sea-level and deep water temperature changes derived from benthic foraminifera isotopic records , 2002 .

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

[37]  W. Peltier,et al.  ICE-3G: A new global model of late Pleistocene deglaciation based upon geophysical predictions of po , 1991 .

[38]  W. Peltier,et al.  Glacial-Isostatic Adjustment—I. The Forward Problem , 2007 .

[39]  Lev Tarasov,et al.  Greenland glacial history, borehole constraints, and Eemian extent , 2003 .

[40]  P. Whitehouse,et al.  Effect of GIA models with 3D composite mantle viscosity on GRACE mass balance estimates for Antarctica , 2015 .

[41]  W. Peltier,et al.  Global glacial ice volume and Last Glacial Maximum duration from an extended Barbados sea level record , 2006 .

[42]  Lev Tarasov,et al.  A geophysically constrained large ensemble analysis of the deglacial history of the North American ice-sheet complex , 2004 .

[43]  Eric Rignot,et al.  Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM) , 2012 .

[44]  Eric Rignot,et al.  Insights into spatial sensitivities of ice mass response to environmental change from the SeaRISE ice sheet modeling project I: Antarctica , 2013 .

[45]  On Postglacial Sea Level , 2007 .

[46]  Alun Hubbard,et al.  Benchmark experiments for higher-order and full-Stokes ice sheet models (ISMIP-HOM) , 2008 .

[47]  Uffe Andersen,et al.  The δ18O record along the Greenland Ice Core Project deep ice core and the problem of possible Eemian climatic instability , 1997 .

[48]  S. Marshall,et al.  Glaciological reconstruction of the Laurentide Ice Sheet: physical processes and modelling challenges , 2000 .

[49]  E. Bueler,et al.  The Potsdam Parallel Ice Sheet Model (PISM-PIK) – Part 1: Model description , 2010 .

[50]  F. Pattyn.  A new three-dimensional higher-order thermomechanical ice sheet model: Basic sensitivity, ice stream development, and ice flow across subglacial lakes , 2003 .

[51]  Douglas R. Macayeal,et al.  Large‐scale ice flow over a viscous basal sediment: Theory and application to ice stream B, Antarctica , 1989 .

[52]  W. Peltier,et al.  Ice Age Paleotopography , 1994, Science.

[53]  Jed Brown,et al.  Exact solutions to the thermomechanically coupled shallow-ice approximation: effective tools for verification , 2007 .

[54]  Ed Bueler,et al.  An enthalpy formulation for glaciers and ice sheets , 2012, Journal of Glaciology.

[55]  W. Peltier,et al.  Pleistocene deglaciation and the Earth's rotation: a new analysis , 1984 .