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Dependence of century-scale projections of the Greenland ice sheet on its thermal regime

  • H. Seroussi (a1), M. Morlighem (a2), E. Rignot (a1) (a2), A. Khazendar (a1), E. Larour (a1) and J. Mouginot (a2)...
Abstract

Observations show that the Greenland ice sheet has been losing mass at an increasing rate over the past few decades, which makes it a major contributor to sea-level rise. Here we use a three-dimensional higher-order ice-flow model, adaptive mesh refinement and inverse methods to accurately reproduce the present-day ice flow of the Greenland ice sheet. We investigate the effect of the ice thermal regime on (1) basal sliding inversion and (2) projections over the next 100 years. We show that steady-state temperatures based on present-day conditions allow a reasonable representation of the thermal regime and that both basal conditions and century-scale projections are weakly sensitive to small changes in the initial temperature field, compared with changes in atmospheric conditions or basal sliding. We conclude that although more englacial temperature measurements should be acquired to validate the models, and a better estimation of geothermal heat flux is needed, it is reasonable to use steady-state temperature profiles for short-term projections, as external forcings remain the main drivers of the changes occurring in Greenland.

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References
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Alley, RB and 10 others (1993) Abrupt increase in Greenland snow accumulation at the end of the Younger Dryas event. Nature, 362(6420), 527529
Applegate, PJ, Kirchner, N, Stone, EJ, Keller, K and Greve, R (2012) An assessment of key model parametric uncertainties in projections of Greenland Ice Sheet behavior. Cryosphere, 6(3), 589606 (doi: 10.5194/tc-6-589-2012)
Aschwanden, A, Aðalsgeirsdóttir, G and Khroulev, C (2012a) Hindcasting to measure ice sheet model sensitivity to initial states. Cryos. Discuss., 6(6), 50695094 (doi: 10.5194/tcd-6-5069-2012)
Aschwanden, A, Bueler, E, Khroulev, C and Blatter, H (2012b) An enthalpy formulation for glaciers and ice sheets. J. Glaciol., 58(209), 441457 (doi: 10.3189/2012JoG11J088)
Bamber, JL, Layberry, RL and Gogineni, SP (2001) A new ice thickness and bed data set for the Greenland ice sheet. 1. Measurement, data reduction, and errors. J. Geophys. Res., 106(D24), 33 77333 780 (doi: 10.1029/2001JD900054)
Benn, DI, Warren, CW and Mottram, RH (2007) Calving processes and the dynamics of calving glaciers. Earth-Sci. Rev., 82(3–4), 143179 (doi: 10.1016/j.earscirev.2007.02.002)
Bindschadler, RA and 27 others (2013) Ice-sheet model sensitivities to environmental forcing and their use in projecting future sea level (the SeaRISE project). J. Glaciol., 59(214), 195224 (doi: 10.3189/2013JoG12J125)
Blatter, H (1995) Velocity and stress fields in grounded glaciers: a simple algorithm for including deviatoric stress gradients. J. Glaciol., 41(138), 333344
Brooks, AN and Hughes, TJR (1982) Streamline upwind/Petrov– Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier–Stokes equations. Comput. Meth. Appl. Mech. Eng., 32(1–3), 199259 (doi: 10.1016/0045-7825(82)90071-8)
Bueler, E and Brown, J (2009) Shallow shelf approximation as a ‘sliding law’ in a thermomechanically coupled ice sheet model. J. Geophys. Res., 114(F3), F03008 (doi: 10.1029/2008JF001179)
Clow, GD, Saltus, RW and Waddington, ED (1996) A new high-precision borehole-temperature logging system used at GISP2, Greenland, and Taylor Dome, Antarctica. J. Glaciol., 42(142), 576584
Cuffey, KM and Paterson, WSB (2010) The physics of glaciers, 4th edn. Butterworth-Heinemann, Oxford
Cuffey, KM, Clow, GD, Alley, RB, Stuiver, M, Waddington, ED and Saltus, RW (1995) Large Arctic temperature change at the Wisconsin–Holocene glacial transition. Science, 270(5235), 455458 (doi: 10.1126/science.270.5235.455)
Dahl-Jensen, D and 6 others (1998) Past temperatures directly from the Greenland ice sheet. Science, 282(5387), 268271 (doi: 10.1126/science.282.5387.268)
Dansgaard, W and 10 others (1993) Evidence for general instability of past climate from a 250kyr ice-core record. Nature, 364(6434), 218220 (doi: 10.1038/364218a0)
De Fleurian, B and 6 others (2013) A subglacial hydrological model dedicated to glacier sliding. Cryos. Discuss., 7(4), 34493496 (doi: 10.5194/tcd-7-3449-2013)
DeConto, RM and Pollard, D (2003) Rapid Cenozoic glaciation of Antarctica induced by declining atmospheric CO2. Nature, 421(6920), 245248 (doi: 10.1038/nature01290)
Donea, J and Belytschko, T (1992) Advances in computational mechanics. Nucl. Eng. Des., 134(1), 122 (doi: 10.1016/0029-5493(92)90004-F)
Durand, G, Gagliardini, O, Zwinger, T, Le Meur, E and Hindmarsh, RCA (2009) Full Stokes modeling of marine ice sheets: influence of the grid size. Ann. Glaciol., 50(52), 109114 (doi: 10.3189/172756409789624283)
Ettema, J and 6 others (2009) Higher surface mass balance of the Greenland ice sheet revealed by high-resolution climate modelling. Geophys. Res. Lett., 36(12), L12501 (doi: 10.1029/2009GL038110)
Gillet-Chaulet, F and 8 others (2012) Greenland Ice Sheet contribution to sea-level rise from a new-generation ice-sheet model. Cryosphere, 6(4), 15611576 (doi: 10.5194/tc-6-1561-2012)
Glen, JW (1955) The creep of polycrystalline ice. Proc. R. Soc. London, Ser. A, 228(1175), 519538 (doi: 10.1098/rspa.1955.0066)
Goldberg, DN and Sergienko, OV (2011) Data assimilation using a hybrid ice flow model. Cryosphere, 5(2), 315327 (doi: 10.5194/tc-5-315-2011)
Greenland Ice-Core Project (GRIP) members (1993) Climate instability during the last interglacial period recorded in the GRIP ice core. Nature, 364(6434), 203207 (doi: 10.1038/364203a0)
Greve, R (1997a) A continuum-mechanical formulation for shallow polythermal ice sheets. Philos. Trans. R. Soc. London, Ser. A, 355(1726), 921974 (doi: 10.1098/rsta.1997.0050 )
Greve, R (1997b) Application of a polythermal three-dimensional ice sheet model to the Greenland ice sheet: response to steady-state and transient climate scenarios. J. Climate, 10(5), 901918 (doi: 10.1175/1520-0442(1997)010<0901:AOAPTD>2.0.CO;2)
Greve, R (2005) Relation of measured basal temperatures and the spatial distribution of the geothermal heat flux for the Greenland ice sheet. Ann. Glaciol., 42(1), 424432 (doi: 10.3189/172756405781812510)
Greve, R, Saito, F and Abe-Ouchi, A (2011) Initial results of the SeaRISE numerical experiments with the models SICOPOLIS and IcIES for the Greenland ice sheet. Ann. Glaciol., 52(58), 2330 (doi: 10.3189/172756411797252068)
Gudmundsson, GH (2008) Analytical solutions for the surface response to small amplitude perturbations in boundary data in the shallow-ice-stream approximation. Cryosphere, 2(2), 7793 (doi: 10.5194/tc-2-77-2008)
Gundestrup, NS and Hansen, BL (1984) Bore-hole survey at Dye 3, south Greenland. J. Glaciol., 30(106), 282288
Hindmarsh, RCA (2004) A numerical comparison of approximations to the Stokes equations used in ice sheet and glacier modeling. J. Geophys. Res., 109(F1), F01012 (doi: 10.1029/2003JF000065)
Holland, DM, Thomas, RH, de Young, B, Ribergaard, MH and Lyberth, B (2008) Acceleration of Jakobshavn Isbræ triggered by warm subsurface ocean waters. Nature Geosci., 1(10), 659664 (doi: 10.1038/ngeo316)
Howat, IM, Joughin, IR and Scambos, TA (2007) Rapid changes in ice discharge from Greenland outlet glaciers. Science, 315(5818), 15591561 (doi: 10.1126/science.1138478)
Hutter, K (1982) Dynamics of glaciers and large ice masses. Annu. Rev. Fluid Mech., 14, 87130 (doi: 10.1146/annurev.fl.14. 010182.000511)
Johnsen, SJ, Dahl-Jensen, D, Dansgaard, W and Gundestrup, NS (1995) Greenland paleotemperatures derived from GRIP borehole temperature and ice core isotope profiles. Tellus, 47B(5), 624629
Joughin, I, Fahnestock, M, MacAyeal, D, Bamber, JL and Gogineni, P (2001) Observation and analysis of ice flow in the largest Greenland ice stream. J. Geophys. Res., 106(D24), 34 02134 034 (doi: 10.1029/2001JD900087)
Larour, E, Seroussi, H, Morlighem, M and Rignot, E (2012a) Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM). J. Geophys. Res., 117(F1), F01022 (doi: 10.1029/2011JF002140)
Larour, E, Morlighem, M, Seroussi, H, Schiermeier, J and Rignot, E (2012b) Ice flow sensitivity to geothermal heat flux of Pine Island Glacier, Antarctica. J. Geophys. Res., 117(F4), F04023 (doi: 10.1029/2012JF002371)
MacAyeal, DR (1989) Large-scale ice flow over a viscous basal sediment: theory and application to Ice Stream B, Antarctica. J. Geophys. Res., 94(B4), 40714087 (doi: 10.1029/JB094iB04p04071)
MacAyeal, DR (1993a) A tutorial on the use of control methods in ice-sheet modeling. J. Glaciol., 39(131), 9198
MacAyeal, DR (1993b) Binge/purge oscillations of the Laurentide ice sheet as a cause of the North Atlantic’s Heinrich events. Paleoceanography, 8(6), 775784 (doi: 10.1029/93PA02200)
McFadden, EM, Howat, IM, Joughin, I, Smith, BE and Ahn, Y (2011) Changes in the dynamics of marine terminating outlet glaciers in west Greenland (2000–2009). J. Geophys. Res., 116(F2), F02022 (doi: 10.1029/2010JF001757)
Meese, DA and 8 others (1994) The accumulation record from the GISP2 core as an indicator of climate change throughout the Holocene. Science, 266(5191), 16801682 (doi: 10.1126/science.266.5191.1680)
Moon, T, Joughin, I, Smith, B and Howat, I (2012) 21st-century evolution of Greenland outlet glacier velocities. Science, 336(6081), 576578 (doi: 10.1126/science.1219985)
Morlighem, M, Rignot, E, Seroussi, H, Larour, E, Ben Dhia, H and Aubry, D (2010) Spatial patterns of basal drag inferred using control methods from a full-Stokes and simpler models for Pine Island Glacier, West Antarctica. Geophys. Res. Lett., 37(14), L14502 (doi: 10.1029/2010GL043853)
Morlighem, M, Seroussi, H, Larour, E and Rignot, E (2013) Inversion of basal friction in Antarctica using exact and incomplete adjoints of a higher-order model. J. Geophys. Res., 118(2) (doi: 10.1002/jgrf.20125)
Nocedal, J (1980) Updating quasi-Newton matrices with limited storage. Math. Comput., 35(151), 773782 (doi: 10.1090/S0025-5718-1980-0572855-7)
North Greenland Ice Core Project (NorthGRIP) members (2004) High-resolution record of Northern Hemisphere climate extending into the last interglacial period. Nature, 431 (7005), 147151 (doi: 10.1038/nature02805)
Nowicki, S and 30 others (2013) Insights into spatial sensitivities of ice mass response to environmental change from the SeaRISE ice sheet modeling project I: Antarctica. J. Geophys. Res., 118(F2), 10021024 (doi: 10.1002/jgrf.20081)
Pachauri, RK and Reisinger, A eds. (2007) Climate change 2007: Synthesis Report. Contribution of Working Groups I, II and III to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Intergovernmental Panel on Climate Change, Geneva
Pattyn, F (2003) A new three-dimensional higher-order thermomechanical ice-sheet model: basic sensitivity, ice stream development, and ice flow across subglacial lakes. J. Geophys. Res., 108(B8), 2382 (doi: 10.1029/2002JB002329)
Phillips, T, Rajaram, H and Steffen, K (2010) Cryo-hydrologic warming: a potential mechanism for rapid thermal response of ice sheets. Geophys. Res. Lett., 37(20), L20503 (doi: 10.1029/2010GL044397)
Pollard, D and DeConto, RM (2009) Modelling West Antarctic ice sheet growth and collapse through the past five million years. Nature, 458(7236), 329332 (doi: 10.1038/nature07809)
Price, SF, Payne, AJ, Howat, IM and Smith, BE (2011) Committed sea-level rise for the next century from Greenland ice sheet dynamics during the past decade. Proc. Natl Acad. Sci. USA (PNAS), 108(22), 89788983 (doi: 10.1073/pnas.1017313108)
Rignot, E (2012) Ice flow in Greenland for the International Polar Year 2008–2009. Geophys. Res. Lett., 39(11), L11501 (doi: 10.1029/2012GL051634)
Rignot, E, Velicogna, I, Van den Broeke, MR, Monaghan, A and Lenaerts, J (2011) Acceleration of the contribution of the Greenland and Antarctic ice sheets to sea level rise. Geophys. Res. Lett., 38(5), L05503 (doi: 10.1029/2011G L046583)
Ritz, C, Rommelaere, V and Dumas, C (2001) Modeling the evolution of Antarctic ice sheet over the last 420 000 years: implications for altitude changes in the Vostok region. J. Geophys. Res., 106(D23), 31 94331 964 (doi: 10.1029/2001JD900232)
Rogozhina, I and 6 others (2012) Effects of uncertainties in the geothermal heat flux distribution on the Greenland Ice Sheet: an assessment of existing heat flow models. J. Geophys. Res., 117(F2), F02025 (doi: 10.1029/2011JF002098)
Schäfer, M and 8 others (2012) Sensitivity of basal conditions in an inverse model: Vestfonna ice cap, Nordaustlandet/Svalbard. Cryosphere, 6(4), 771783 (doi: 10.5194/tc-6-771-2012)
Schoof, C (2010) Ice-sheet acceleration driven by melt supply variability. Nature, 468(7325), 803806 (doi: 10.1038/nature09618)
Seddik, H, Greve, R, Zwinger, T, Gillet-Chaulet, F and Gagliardini, O (2012) Simulations of the Greenland ice sheet 100 years into the future with the full Stokes model Elmer/Ice. J. Glaciol., 58(209), 427440 (doi: 10.3189/2012JoG11J177)
Seroussi, H and 6 others (2011) Ice flux divergence anomalies on 79north Glacier, Greenland. Geophys. Res. Lett., 38(9), L09501 (doi: 10.1029/2011GL047338)
Shapiro, NM and Ritzwoller, MH (2004) Inferring surface heat flux distribution guided by a global seismic model: particular application to Antarctica. Earth Planet. Sci. Lett., 223(1–2), 213224 (doi: 10.1016/j.epsl.2004.04.011)
Velicogna, I (2009) Increasing rates of ice mass loss from the Greenland and Antarctic ice sheets revealed by GRACE. Geophys. Res. Lett., 36(19), L19503 (doi: 10.1029/2009GL040222)
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