Enhanced basal lubrication and the contribution of the Greenland ice sheet to future sea-level rise

We assess the effect of enhanced basal sliding on the flow and mass budget of the Greenland ice sheet, using a newly developed parameterization of the relation between meltwater runoff and ice flow. A wide range of observations suggest that water generated by melt at the surface of the ice sheet reaches its bed by both fracture and drainage through moulins. Once at the bed, this water is likely to affect lubrication, although current observations are insufficient to determine whether changes in subglacial hydraulics will limit the potential for the speedup of flow. An uncertainty analysis based on our best-fit parameterization admits both possibilities: continuously increasing or bounded lubrication. We apply the parameterization to four higher-order ice-sheet models in a series of experiments forced by changes in both lubrication and surface mass budget and determine the additional mass loss brought about by lubrication in comparison with experiments forced only by changes in surface mass balance. We use forcing from a regional climate model, itself forced by output from the European Centre Hamburg Model (ECHAM5) global climate model run under scenario A1B. Although changes in lubrication generate widespread effects on the flow and form of the ice sheet, they do not affect substantial net mass loss; increase in the ice sheet’s contribution to sea-level rise from basal lubrication is projected by all models to be no more than 5% of the contribution from surface mass budget forcing alone.

[1]  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..

[2]  G. Catania,et al.  Persistent englacial drainage features in the Greenland Ice Sheet , 2010 .

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

[4]  Matt A. King,et al.  Seasonal variations in Greenland Ice Sheet motion: inland extent and behaviour at higher elevations in a land-terminating transect , 2011 .

[5]  G. Catania,et al.  Seasonal acceleration of inland ice via longitudinal coupling to marginal ice , 2008, Journal of Glaciology.

[6]  Jason Lowe,et al.  Greenland ice sheet surface mass balance: evaluating simulations and making projections with regional climate models , 2012 .

[7]  Matt A. King,et al.  Short‐term variability in Greenland Ice Sheet motion forced by time‐varying meltwater drainage: Implications for the relationship between subglacial drainage system behavior and ice velocity , 2012 .

[8]  C. J. P. P. Smeets,et al.  Large and Rapid Melt-Induced Velocity Changes in the Ablation Zone of the Greenland Ice Sheet , 2008, Science.

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

[10]  P. Groen,et al.  Improved convergence and stability properties in a three-dimensional higher-order ice sheet model , 2011 .

[11]  Jemma L. Wadham,et al.  Supraglacial forcing of subglacial drainage in the ablation zone of the Greenland ice sheet , 2010 .

[12]  F. Gillet-Chaulet,et al.  Interactive comment on “ Greenland Ice Sheet contribution to sea-level rise from a new-generation icesheet model ” , 2012 .

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

[14]  M. Sharp,et al.  Borehole water-level variations and the structure of the subglacial hydrological system of Haut Glacier d’Arolla, Valais, Switzerland , 1995, Journal of Glaciology.

[15]  C. Schoof Ice-sheet acceleration driven by melt supply variability , 2010, Nature.

[16]  O. Linton Local Regression Models , 2010 .

[17]  X. Fettweis Reconstruction of the 1979–2006 Greenland ice sheet surface mass balance using the regional climate model MAR , 2007 .

[18]  Gaël Durand,et al.  Greenland ice sheet contribution to sea-level rise from a new-generation ice-sheet model , 2012 .

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

[20]  Ralf Greve,et al.  Application of a polythermal three-dimensional ice sheet model to the Greenland Ice Sheet : Response to steady-state and transient climate scenarios , 1997 .

[21]  J. Thepaut,et al.  The ERA‐Interim reanalysis: configuration and performance of the data assimilation system , 2011 .

[22]  Todd D. Ringler,et al.  A multiresolution method for climate system modeling: application of spherical centroidal Voronoi tessellations , 2008 .

[23]  J. Burkardt,et al.  Parallel finite-element implementation for higher-order ice-sheet models , 2012, Journal of Glaciology.

[24]  P. Huybrechts,et al.  Effect of higher-order stress gradients on the centennial mass evolution of the Greenland ice sheet , 2012 .

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

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

[27]  J. Oerlemans,et al.  Coupling of climate models and ice sheet models by surface mass balance gradients: application to the Greenland Ice Sheet , 2012 .

[28]  Xavier Fettweis,et al.  Estimating the Greenland ice sheet surface mass balance contribution to future sea level rise using the regional atmospheric climate model MAR , 2012 .

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

[30]  I. Hewitt Modelling distributed and channelized subglacial drainage: the spacing of channels , 2011, Journal of Glaciology.

[31]  Harihar Rajaram,et al.  Cryo‐hydrologic warming: A potential mechanism for rapid thermal response of ice sheets , 2010 .

[32]  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..

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

[34]  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 .

[35]  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.

[36]  R. Alley,et al.  Ice-Sheet and Sea-Level Changes , 2005, Science.

[37]  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 .

[38]  R. Alley,et al.  A subglacial water-flow model for West Antarctica , 2009, Journal of Glaciology.

[39]  Philippe Huybrechts,et al.  Melt-induced speed-up of Greenland ice sheet offset by efficient subglacial drainage , 2011, Nature.

[40]  Alun Hubbard,et al.  Seasonal evolution of subglacial drainage and acceleration in a Greenland outlet glacier , 2010 .

[41]  X. Fettweis,et al.  Sensitivity of Greenland Ice Sheet Projections to Model Formulations , 2013, Journal of Glaciology.

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

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