Ice-sheet model sensitivities to environmental forcing and their use in projecting future sea level (the SeaRISE project)

Abstract Ten ice-sheet models are used to study sensitivity of the Greenland and Antarctic ice sheets to prescribed changes of surface mass balance, sub-ice-shelf melting and basal sliding. Results exhibit a large range in projected contributions to sea-level change. In most cases, the ice volume above flotation lost is linearly dependent on the strength of the forcing. Combinations of forcings can be closely approximated by linearly summing the contributions from single forcing experiments, suggesting that nonlinear feedbacks are modest. Our models indicate that Greenland is more sensitive than Antarctica to likely atmospheric changes in temperature and precipitation, while Antarctica is more sensitive to increased ice-shelf basal melting. An experiment approximating the Intergovernmental Panel on Climate Change’s RCP8.5 scenario produces additional first-century contributions to sea level of 22.3 and 8.1 cm from Greenland and Antarctica, respectively, with a range among models of 62 and 14 cm, respectively. By 200 years, projections increase to 53.2 and 26.7 cm, respectively, with ranges of 79 and 43 cm. Linear interpolation of the sensitivity results closely approximates these projections, revealing the relative contributions of the individual forcings on the combined volume change and suggesting that total ice-sheet response to complicated forcings over 200 years can be linearized.

[1]  R. Alley,et al.  Dynamic (in)stability of Thwaites Glacier, West Antarctica , 2013 .

[2]  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.

[3]  Eric Rignot,et al.  A Reconciled Estimate of Ice-Sheet Mass Balance , 2012, Science.

[4]  Ralf Greve,et al.  Sensitivity experiments for the Antarctic ice sheet with varied sub-ice-shelf melting rates , 2012, Annals of Glaciology.

[5]  Phillip A. Chen,et al.  On the influence of Greenland outlet glacier bed topography on results from dynamic ice-sheet models , 2012, Annals of Glaciology.

[6]  David Pollard,et al.  Description of a hybrid ice sheet-shelf model, and application to Antarctica , 2012 .

[7]  H. Zwally,et al.  Dynamic inland propagation of thinning due to ice loss at the margins of the Greenland ice sheet , 2012, Journal of Glaciology.

[8]  D. Vaughan,et al.  Antarctic ice-sheet loss driven by basal melting of ice shelves , 2012, Nature.

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

[10]  K. Frieler,et al.  Uncertainty in future solid ice discharge from Antarctica , 2012 .

[11]  Mariana Vertenstein,et al.  A modern solver interface to manage solution algorithms in the Community Earth System Model , 2012, Int. J. High Perform. Comput. Appl..

[12]  Fabien Gillet-Chaulet,et al.  Simulations of the Greenland ice sheet 100 years into the future with the full Stokes model Elmer/Ice , 2011, Journal of Glaciology.

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

[14]  P. Christoffersen,et al.  Dynamic patterns of ice stream flow in a 3‐D higher‐order ice sheet model with plastic bed and simplified hydrology , 2011 .

[15]  Carlton J. Leuschen,et al.  An algorithm for generalizing topography to grids while preserving subscale morphologic characteristics - creating a glacier bed DEM for Jakobshavn trough as low-resolution input for dynamic ice-sheet models , 2011, Comput. Geosci..

[16]  I. Joughin,et al.  Kinematic first-order calving law implies potential for abrupt ice-shelf retreat , 2011 .

[17]  K. Calvin,et al.  The RCP greenhouse gas concentrations and their extensions from 1765 to 2300 , 2011 .

[18]  A. Thomson,et al.  The representative concentration pathways: an overview , 2011 .

[19]  J. Bamber,et al.  Antarctic ice-shelf thickness from satellite radar altimetry , 2011, Journal of Glaciology.

[20]  Fuyuki Saito,et al.  Initial results of the SeaRISE numerical experiments with the models SICOPOLIS and IcIES for the Greenland ice sheet , 2011, Annals of Glaciology.

[21]  Katherine J. Evans,et al.  Implementation of the Jacobian-free Newton-Krylov method for solving the first-order ice sheet momentum balance , 2011, J. Comput. Phys..

[22]  Eric Rignot,et al.  Ice flux divergence anomalies on 79north Glacier, Greenland , 2011 .

[23]  Ian M. Howat,et al.  Committed sea-level rise for the next century from Greenland ice sheet dynamics during the past decade , 2011, Proceedings of the National Academy of Sciences.

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

[25]  David M. Holland,et al.  Sensitivity of 21st century sea level to ocean‐induced thinning of Pine Island Glacier, Antarctica , 2010 .

[26]  R. Winkelmann,et al.  Parameterization for subgrid-scale motion of ice-shelf calving fronts , 2010 .

[27]  E. Bueler,et al.  The Potsdam Parallel Ice Sheet Model (PISM-PIK) – Part 2: Dynamic equilibrium simulation of the Antarctic ice sheet , 2010 .

[28]  Ian M. Howat,et al.  Greenland flow variability from ice-sheet-wide velocity mapping , 2010, Journal of Glaciology.

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

[30]  A. Abe‐Ouchi,et al.  Modelled response of the volume and thickness of the Antarctic ice sheet to the advance of the grounded area , 2010, Annals of Glaciology.

[31]  Eric Rignot,et al.  Spatial patterns of basal drag inferred using control methods from a full‐Stokes and simpler models for Pine Island Glacier, West Antarctica , 2010 .

[32]  W. Landman Climate change 2007: the physical science basis , 2010 .

[33]  William H. Lipscomb,et al.  Consistent approximations and boundary conditions for ice-sheet dynamics from a principle of least action , 2010, Journal of Glaciology.

[34]  S. Rahmstorf,et al.  Global sea level linked to global temperature , 2009, Proceedings of the National Academy of Sciences.

[35]  R. Alley,et al.  Ice sheet mass balance and sea level , 2009, Antarctic Science.

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

[37]  William H. Lipscomb,et al.  A Community Ice Sheet Model for Sea Level Prediction , 2009 .

[38]  Ed Bueler,et al.  Shallow shelf approximation as a “sliding law” in a thermomechanically coupled ice sheet model , 2008, 0810.3449.

[39]  Carl E. Bøggild,et al.  A new present-day temperature parameterization for Greenland , 2009, Journal of Glaciology.

[40]  Matt A. King,et al.  Ice Sheet During Supraglacial Lake Drainage Fracture Propagation to the Base of the Greenland , 2009 .

[41]  Jonathan L. Bamber,et al.  A new 1 km Digital Elevation Model of the Antarctic Derived From Combined Satellite Radar and Laser Data , 2008 .

[42]  Jonathan L. Bamber,et al.  A new 1 km digital elevation model of Antarctica derived from combined radar and laser data – Part 2: Validation and error estimates , 2008 .

[43]  David M. Holland,et al.  Acceleration of Jakobshavn Isbræ triggered by warm subsurface ocean waters , 2008 .

[44]  W. T. Pfeffer,et al.  Kinematic Constraints on Glacier Contributions to 21st-Century Sea-Level Rise , 2008, Science.

[45]  B. Smith,et al.  Rates of southeast Greenland ice volume loss from combined ICESat and ASTER observations , 2008 .

[46]  Ian Joughin,et al.  Seasonal Speedup Along the Western Flank of the Greenland Ice Sheet , 2008, Science.

[47]  Ian Joughin,et al.  Fracture Propagation to the Base of the Greenland Ice Sheet During Supraglacial Lake Drainage , 2008, Science.

[48]  M. Edwards,et al.  An improved bathymetric portrayal of the Arctic Ocean: Implications for ocean modeling and geological, geophysical and oceanographic analyses , 2008 .

[49]  William H. Lipscomb,et al.  Toward a new generation of ice sheet models , 2007 .

[50]  D. Vaughan,et al.  West Antarctic links to sea level estimation , 2007 .

[51]  Ian Joughin,et al.  Numerical modeling of ocean‐ice interactions under Pine Island Bay's ice shelf , 2007 .

[52]  S. Jacobs,et al.  Bathymetry of the Amundsen Sea continental shelf: Implications for geology, oceanography, and glaciology , 2007 .

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

[54]  A. Abe‐Ouchi,et al.  Climatic Conditions for modelling the Northern Hemisphere ice sheets throughout the ice age cycle , 2007 .

[55]  H. L. Miller,et al.  Climate Change 2007: The Physical Science Basis , 2007 .

[56]  E. van Meijgaard,et al.  Reassessment of the Antarctic surface mass balance using calibrated output of a regional atmospheric climate model , 2006 .

[57]  David G. Vaughan,et al.  Antarctic snow accumulation mapped using polarization of 4.3-cm wavelength microwave emission , 2006 .

[58]  E. Rignot,et al.  Changes in the Velocity Structure of the Greenland Ice Sheet , 2006, Science.

[59]  Patrick Amestoy,et al.  Hybrid scheduling for the parallel solution of linear systems , 2006, Parallel Comput..

[60]  Tamara G. Kolda,et al.  An overview of the Trilinos project , 2005, TOMS.

[61]  Nils Olsen,et al.  Heat Flux Anomalies in Antarctica Revealed by Satellite Magnetic Data , 2005, Science.

[62]  Richard B. Alley,et al.  Assessment of the importance of ice‐shelf buttressing to ice‐sheet flow , 2005 .

[63]  A. Abe‐Ouchi,et al.  Sensitivity of Greenland ice sheet simulation to the numerical procedure employed for ice-sheet dynamics , 2005, Annals of Glaciology.

[64]  A. Shepherd,et al.  Warm ocean is eroding West Antarctic Ice Sheet , 2004 .

[65]  A. Vieli,et al.  Recent dramatic thinning of largest West Antarctic ice stream triggered by oceans , 2004 .

[66]  T. Scambos,et al.  Glacier acceleration and thinning after ice shelf collapse in the Larsen B embayment, Antarctica , 2004 .

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

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

[69]  Richard B. Alley,et al.  Implications of increased Greenland surface melt under global-warming scenarios: ice-sheet simulations , 2004 .

[70]  A. Abe‐Ouchi,et al.  Thermal structure of Dome Fuji and east Dronning Maud Land, Antarctica, simulated by a three-dimensional ice-sheet model , 2004, Annals of Glaciology.

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

[72]  James L. Fastook,et al.  New ways of studying ice sheet flow directions and glacial erosion by computer modelling—examples from Fennoscandia , 2003 .

[73]  James L. Fastook,et al.  Northern Hemisphere glaciation and its sensitivity to basal melt water , 2002 .

[74]  James L. Fastook,et al.  Geologically and geomorphologically constrained numerical model of Laurentide Ice Sheet inception and build-up , 2002 .

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

[76]  S. Jacobs,et al.  Rapid Bottom Melting Widespread near Antarctic Ice Sheet Grounding Lines , 2002, Science.

[77]  Konrad Steffen,et al.  Surface Melt-Induced Acceleration of Greenland Ice-Sheet Flow , 2002, Science.

[78]  Jonathan L. Bamber,et al.  A new ice thickness and bed data set for the Greenland ice sheet: 2. Relationship between dynamics and basal topography , 2001 .

[79]  R. Gerdes,et al.  Ocean circulation and ice‐ocean interaction beneath the Amery Ice Shelf, Antarctica , 2001 .

[80]  Patrick Amestoy,et al.  A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling , 2001, SIAM J. Matrix Anal. Appl..

[81]  J. Bamber,et al.  A new ice thickness and bedrock data set for the Greenland ice sheet , 2000, IGARSS 2000. IEEE 2000 International Geoscience and Remote Sensing Symposium. Taking the Pulse of the Planet: The Role of Remote Sensing in Managing the Environment. Proceedings (Cat. No.00CH37120).

[82]  Josefino C. Comiso,et al.  Variability and Trends in Antarctic Surface Temperatures from In Situ and Satellite Infrared Measurements , 2000 .

[83]  John K. Dukowicz,et al.  Incremental Remapping as a Transport/Advection Algorithm , 2000 .

[84]  Philippe Huybrechts,et al.  The Dynamic Response of the Greenland and Antarctic Ice Sheets to Multiple-Century Climatic Warming , 1999 .

[85]  F. Pattyn,et al.  Report of the Third EISMINT Workshop on Model Intercomparison , 1998 .

[86]  R. Greve A continuum–mechanical formulation for shallow polythermal ice sheets , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[87]  M. Šilhavý The Dynamic Response , 1997 .

[88]  Ron Kwok,et al.  A Mini-Surge on the Ryder Glacier, Greenland, Observed by Satellite Radar Interferometry , 1996, Science.

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

[90]  J. Fastook,et al.  Modeling the ice age: the finite-element method in glaciology , 1994, IEEE Computational Science and Engineering.

[91]  J. Fastook,et al.  A Finite-element Model of Antarctica: sensitivity test for meteorological mass-balance relationship , 1994, Journal of Glaciology.

[92]  A. Abe‐Ouchi,et al.  On the initiation of ice sheets , 1993, Annals of Glaciology.

[93]  L. Franca,et al.  Stabilized finite element methods. II: The incompressible Navier-Stokes equations , 1992 .

[94]  T. Hughes,et al.  Stabilized finite element methods. I: Application to the advective-diffusive model , 1992 .

[95]  T. Hughes,et al.  CHANGING ICE LOADS ON THE EARTH'S SURFACE DURING THE LAST GLACIATION CYCLE , 1991 .

[96]  Enzo Boschi,et al.  Glacial isostasy, sea-level and mantle rheology , 1991 .

[97]  J. Oerlemans,et al.  Parameterization of the Annual Surface Temperature and Mass Balance of Antarctica , 1990, Annals of Glaciology.

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

[99]  N. Reeh,et al.  Parameterization of melt rate and surface temperature on the Greenland ice sheet , 1989 .

[100]  C. Veen,et al.  Dynamics of the West Antarctic Ice Sheet , 1987 .

[101]  L. Morland Unconfined Ice-Shelf Flow , 1987 .

[102]  L. Morland Thermomechanical balances of ice sheet flows , 1984 .

[103]  J. Weertman,et al.  Stability of the Junction of an Ice Sheet and an Ice Shelf , 1974, Journal of Glaciology.

[104]  R. Thomas,et al.  The Creep of Ice Shelves Theory , 1973, Journal of Glaciology.