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On the coupled response to ice-shelf basal melting

  • Christopher M. Little (a1), Daniel Goldberg (a2), Anand Gnanadesikan (a3) and Michael Oppenheimer (a1) (a4)

Abstract

Ice-shelf basal melting is tightly coupled to ice-shelf morphology. Ice shelves, in turn, are coupled to grounded ice via their influence on compressive stress at the grounding line (‘ice-shelf buttressing’). Here, we examine this interaction using a local parameterization that relates the basal melt rate to the ice-shelf thickness gradient. This formulation permits a closed-form solution for a steady-state ice tongue. Time-dependent numerical simulations reveal the spatial and temporal evolution of ice-shelf/ice-stream systems in response to changes in ocean temperature, and the influence of morphology-dependent melting on grounding-line retreat. We find that a rapid (<1 year) re-equilibration in upstream regions of ice shelves establishes a spatial pattern of basal melt rates (relative to the grounding line) that persists over centuries. Coupling melting to ice-shelf shape generally, but not always, increases grounding-line retreat rates relative to a uniform distribution with the same area- average melt rate. Because upstream ice-shelf thickness gradients and retreat rates increase nonlinearly with thermal forcing, morphology-dependent melting is more important to the response of weakly buttressed, strongly forced ice streams grounded on beds that slope upwards towards the ocean (e.g. those in the Amundsen Sea).

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References

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Alley, RB and 7 others (2008) A simple law for ice-shelf calving. Science, 322(5906), 1344 (doi: 10.1126/science.1162543)
Beckmann, A and Goosse, H (2003) A parameterization of ice shelf- ocean interaction for climate models. Ocean Model., 5(2), 157-170
Benn, DI, Warren, CR and Mottram, RH (2007) Calving processes and the dynamics of calving glaciers. Earth-Sci. Rev., 82(3-4), 143-179.
Dupont, TK (2004) Abrupt changes in ice shelves and ice streams: model studies. (PhD thesis, Pennsylvania State University)
Dupont, TK and Alley, RB (2005) Assessment of the importance of ice-shelf buttressing to ice-sheet flow. Geophys. Res. Lett., 32(4), L04503 (doi: 10.1029/2004GL022024)
Gagliardini, O, Durand, G, Zwinger, T, Hindmarsh, RCA and Le Meur, E (2010) Coupling of ice-shelf melting and buttressing is a key process in ice-sheets dynamics. Geophys. Res. Lett., 37(14), L14501 (doi: 10.1029/2010GL043334)
Glasser, NF and Scambos, TA (2008) A structural glaciological analysis of the 2002 Larsen B ice-shelf collapse. J. Glaciol., 54(184), 3-16
Goldberg, DN, Holland, DM and Schoof, CG (2009) Grounding line movement and ice shelf buttressing in marine ice sheets. J. Geophys. Res., 114(F4), F04026 (doi: 10.1029/2008JF001227)
Holland, DM and Jenkins, A (1999) Modeling thermodynamic ice ocean interactions at the base of an ice shelf. J. Phys. Oceanogr., 29(8), 1787-1800
Holland, PR (2008) A model of tidally dominated ocean processes near ice shelf grounding lines. J. Geophys. Res., 113(C11), C11002 (doi: 10.1029/2007JC004576)
Holland, PR, Jenkins, A, Holland, DM (2008) The response of ice shelf basal meltingto variations in ocean temperature. J. Climate, 21(11), 2558-2572
Holland, PR, Corr, HFJ, Vaughan, DG, Jenkins, A and Skvarca, P (2009) Marine ice in Larsen Ice Shelf. Geophys. Res. Lett., 36(11), L11604 (doi: 10.1029/2009GL038162)
Jacobs, SS, Hellmer, HH and Jenkins, A (1996) Antarctic ice sheet melting in the southeast Pacific. Geophys. Res. Lett., 23(9), 957-960
Jacobs, SS, Jenkins, A, Giulivi, CF and Dutrieux, P (2011) Stronger ocean circulation and increased melting under Pine Island Glacier ice shelf. Nature Geosci., 4(8), 519-523
Jenkins, A and 6 others (2010) Observations beneath Pine Island Glacier in West Antarctica and implications for its retreat. Nature Geosci., 3(7), 468-472
Joughin, I, Smith, BE, Holland, DM (2010) Sensitivity of 21st century sea level to ocean-induced thinning of Pine Island Glacier, Antarctica. Geophys. Res. Lett., 37(20), L20502 (doi: 10.1029/2010GL044819)
Khazendar, A, Rignot, E and Larour, E (2007) Larsen B Ice Shelf rheology preceding its disintegration inferred by a control method. Geophys. Res. Lett., 34(19), L19503 (doi: 10.1029/ 2007GL030980)
Little, CM, Gnanadesikan, A and Oppenheimer, M (2009) How ice shelf morphology controls basal melting. J. Geophys. Res., 114(C12), C12007 (doi: 10.1029/2008JC005197)
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), 4071-4087
MacAyeal, DR and Barcilon, V (1988) Ice-shelf response to ice-stream discharge fluctuations: I. Unconfined ice tongues. J. Glaciol., 34(116), 121-127
MacAyeal, DR and Lange, MA (1988) Ice-shelf response to ice-stream discharge fluctuations: II. Ideal rectangular ice shelf. J. Glaciol., 34(116), 128-135
Nick, FM, Vieli, A, Howat, IM and Joughin, I (2009) Large-scale changes in Greenland outlet glacier dynamics triggered at the terminus. Nature Geosci., 2(2), 110-114
Parizek, BR and Walker, RT (2010) Implications of initial conditions and ice-ocean coupling for grounding-line evolution. Earth Planet. Sci. Lett., 300(3-4), 351-358
Paterson, WSB (1994) The physics of glaciers, 3rd edn. Elsevier, Oxford
Payne, AJ, Vieli, A, Shepherd, A, Wingham, DJ and Rignot, E (2004) Recent dramatic thinning of largest West Antarctic ice stream triggered by oceans. Geophys. Res. Lett., 31(23), L23401 (doi: 10.1029/2004GL021284)
Pollard, D and DeConto, RM (2009) Modelling West Antarctic ice sheet growth and collapse through the past five million years. Nature, 458(7236), 329-332
Pritchard, HD, Arthern, RJ, Vaughan, DG and Edwards, LA (2009) Extensive dynamic thinning on the margins of the Greenland and Antarctic ice sheets. Nature, 461(7266), 971-975 (doi: 10.1038/nature08471)
Rignot, E (2008) Changes in West Antarctic ice stream dynamics observed with ALOS PALSAR data. Geophys. Res. Lett., 35(12), L12505 (doi: 10.1029/2008GL033365)
Rignot, E and Jacobs, SS (2002) Rapid bottom melting widespread near Antarctic ice sheet grounding lines. Science, 296(5575), 2020-2023
Rignot, E and 6 others (2008) Recent Antarctic ice mass loss from radar interferometry and regional climate modelling. Nature Geosci., 1(2), 106-110
Schmeltz, M, Rignot, E, Dupont, TK and MacAyeal, DR (2002) Sensitivity of Pine Island Glacier, West Antarctica, to changes in ice-shelf and basal conditions: a model study. J. Glaciol., 48(163), 552-558
Schoof, C (2007) Marine ice-sheet dynamics. Part 1. The case of rapid sliding. J. Fluid Mech., 573, 27-55
Scott, JBT, Gudmundsson, GH, Smith, AM, Bingham, RG, Pritchard, HD and Vaughan, DG (2009) Increased rate of acceleration on Pine Island Glacier is strongly coupled to thinning induced changes in driving stress. Cryosphere, 3(1), 125-131
Shepherd, A and Wingham, D (2007) Recent sea-level contributions of the Antarctic and Greenland ice sheets. Science, 315(5818), 1529-1532
Sole, A, Payne, T, Bamber, J, Nienow, P and Krabill, W (2008) Testing hypotheses of the cause of peripheral thinning of the Greenland Ice Sheet: is land-terminating ice thinning at anomalously high rates? Cryosphere, 2(2), 205-218
Thoma, M, Jenkins, A, Holland, D and Jacobs, S (2008) Modelling circumpolar deep water intrusions on the Amundsen Sea continental shelf, Antarctica. Geophys. Res. Lett., 35(18), L18602 (doi: 10.1029/2008GL034939)
Thomas, R (2004) Force-perturbation analysis of recent thinning and acceleration of Jakobshavn Isbrae, Greenland, J. Glaciol., 50(168), 57-66.
Van der Veen, CJ (1999) Fundamentals of glacier dynamics. AA Balkema, Rotterdam
Van der Veen, CJ (2002) Calving glaciers. Progr. Phys. Geogr., 26(1), 96-122
Vaughan, DG and 9 others (2006) New boundary conditions for the West Antarctic ice sheet: subglacial topography beneath Pine Island Glacier. Geophys. Res. Lett., 33(9), L09501 (doi: 10.1029/2005GL025588)
Walker, RT and Holland, DM (2007) A two-dimensional coupled model for ice shelf-ocean interaction. Ocean Model., 17(2), 123-139
Walker, RT, Dupont, TK, Parizek, BR and Alley, RB (2008) Effects of basal-melting distribution on the retreat of ice-shelf grounding lines. Geophys. Res. Lett., 35(17), L17503 (doi: 10.1029/ 2008GL034947)
Wingham, DJ, Wallis, DW and Shepherd, A (2009) Spatial and temporal evolution of Pine Island Glacier thinning, 1995 2006. Geophys. Res. Lett., 36(17), L17501 (doi: 10.1029/ 2009GL039126)
Wu, XM and 8 others (2010) Simultaneous estimation of global present-day water transport and glacial isostatic adjustment. Nature Geosci., 3(9), 642-646
Zwally, HJ and Giovinetto, MB (2011) Overview and assessment of Antarctic ice-sheet mass balance estimates: 1992-2009. Surv. Geophys., 32(4-5), 351-376

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