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<article language="en">
	<journal>
		<journal_title>The Cryosphere Discussions</journal_title>
		<journal_url>www.the-cryosphere-discuss.net</journal_url>
		<issn>1994-0432</issn>
		<eissn>1994-0440</eissn>
		<volume_number>3</volume_number>
		<issue_number>3</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/tcd-3-729-2009</doi>
	<article_url>http://www.the-cryosphere-discuss.net/3/729/2009/</article_url>
	<abstract_html>http://www.the-cryosphere-discuss.net/3/729/2009/tcd-3-729-2009.html</abstract_html>
	<fulltext_pdf>http://www.the-cryosphere-discuss.net/3/729/2009/tcd-3-729-2009.pdf</fulltext_pdf>
	<start_page>729</start_page>
	<end_page>764</end_page>
	<publication_date>2009-09-11</publication_date>
	<article_title content_type="html">An efficient regional energy-moisture balance model for simulation of the Greenland ice sheet response to climate change</article_title>
	<authors>
		<author numeration="1" affiliations="1,2">
			<name>A. Robinson</name>
			<email>robinson@pik-potsdam.de</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>R. Calov</name>
		</author>
		<author numeration="3" affiliations="1">
			<name>A. Ganopolski</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Potsdam Institute for Climate Impact Research, Potsdam, Germany</affiliation>
		<affiliation numeration="2" content_type="html">University of Potsdam, Potsdam, Germany</affiliation>
	</affiliations>
	<abstract content_type="html">In order to explore the response of the Greenland ice sheet (GIS) to
climate change on long (centennial to multi-millennial) time scales,
a regional energy-moisture balance model has been developed. This
model simulates seasonal variations of temperature and precipitation
over Greenland and explicitly accounts for elevation and albedo
feedbacks. These fields are used to force a high resolution ice sheet
model through the annual mean surface temperature and mass
balance. The melt component of the mass balance is computed here using
both a conventional positive degree day approach and a more
physically-based alternative. As a validation of the model, we first
simulated temperature and precipitation over Greenland for the
prescribed, present-day topography of Greenland and compared them with
empirical data. For the present-day climate, simulated surface
boundary conditions for the GIS do not differ significantly from those
of a simple parameterization used in many previous
simulations. However, for a prescribed, ice-free state, the
differences in simulated climatology and surface mass balance between
the regional energy-moisture balance model and the conventional
approach become significant, with our model showing much stronger
summer warming. When coupled to a high resolution, three-dimensional
ice sheet model and initialized with present-day conditions, the two
melt schemes both allow sufficiently realistic simulations of the
present-day GIS. However, when starting from ice-free conditions, two
different equilibrium states are achieved, depending on the choice of
melt scheme.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Abdalati,~W. and Steffen,~K.: Greenland ice sheet melt extent: 1979–1999, J Geophys. Res., 106(D24), 33, 983–988, 2001. </reference>
		<reference numeration="2" content_type="text"> Archer,~D.: The fate of fossil fuel \chemCO_2 in geologic time, J Geophys. Res., 110, C09S05, doi:10.1029/2004JC002625, 2005. </reference>
		<reference numeration="3" content_type="text"> Bales,~R C., Guo,~Q., Shen,~D., McConnell,~J R., Du,~G., Burkhart,~J F., Spikes,~V B., Hanna,~E., and John Cappelen,~J.: Annual accumulation for Greenland updated using ice-core data developed during 2000–2006 and analysis of daily coastal meteorological data, J Geophys. Res., 114, D06116, doi:10.1029/2008JD011208, 2009. </reference>
		<reference numeration="4" content_type="text"> Bamber,~J L., Ekholm,~S., and Krabill,~W B.: A~new, high-resolution digital elevation model of Greenland fully validated with airborne laser altimeter data, J Geophys. Res., 106(B4), 6733–6745, 2001. </reference>
		<reference numeration="5" content_type="text"> Bintanja,~R., van de Wal,~R S W., and Oerlemans,~J.: Global ice volume variations through the last glacial cycle simulated by a~3-D ice-dynamical model, Quatern. Int., 95–96, 11–23, 2002. </reference>
		<reference numeration="6" content_type="text"> Box,~J E., Bromwich,~D H., Veenhuis,~B A., Bai,~L S., Stroeve,~J C., Rogers,~J C., Steffen,~K., Haran,~T., and Wang,~S H.: Greenland ice sheet surface mass balance variability (1988–2004) from calibrated polar MM5 output, J Climate, 19, 2783–2800, 2006. </reference>
		<reference numeration="7" content_type="text"> Braithwaite,~R J.: Regional Modelling of ablation in West Greenland, Gronlands Geologiske Undersogelse, Copenhagen, nr. 98, 1980. </reference>
		<reference numeration="8" content_type="text"> Budyko,~M I.: The effect of solar radiation variations on the climate of the earth, Tellus, 21, 611–619, 1969. </reference>
		<reference numeration="9" content_type="text"> Calanca,~P., Gilgen,~H., Ekholm,~S., and Ohmura,~A.: Gridded temperature and accumulation distributions for Greenland for use in cryospheric models, Ann. Glaciol., 31, 118–120, 2000. </reference>
		<reference numeration="10" content_type="text"> Calov,~R. and Hutter,~K.: The thermomechanical response of the Greenland ice sheet to various climate scenarios, Clim. Dynam., 12, 243–260, 1996. </reference>
		<reference numeration="11" content_type="text"> Calov,~R. and Greve,~R.: A~semi-analytical solution for the positive degree-day model with stochastic temperature variations, J. Glaciol., 51, 173–175, 2005. </reference>
		<reference numeration="12" content_type="text"> Calov,~R., Ganopolski,~A., Claussen,~M., Petoukhov,~V., and Greve,~R.: Transient simulation of the last glacial inception with an atmosphere-ocean-vegetation-ice sheet, Part~I: Glacial inception as a~bifurcation of the climate system, Clim. Dynam., 24, 545–561, 2005. </reference>
		<reference numeration="13" content_type="text"> Cappelen,~J., Jørgensen,~B V., Laursen,~E V., Stannius,~L S., and Thomsen,~R S.: The observed climate of Greenland, 1958–1999 – with Climatological Standard Normals, 1961–1990, Danish Meteorological Institute, Copenhagen, 2001. </reference>
		<reference numeration="14" content_type="text"> Charbit,~S., Paillard,~D., and Ramstein,~G.: Amount of \chemCO_2 emissions irreversibly leading to the total melting of Greenland, Geophys. Res. Lett., 35, L12503, doi:10.1029/2008GL033472, 2008. </reference>
		<reference numeration="15" content_type="text"> Church,~J A., Gregory, J. M., Huybrechts, P., et al.: Changes in Sea Level, in: Climate Change 2001: The Scientific Basis: Contribution of Working Group~I to the Third Assessment Report of the Intergovernmental Panel on Climate, edited by: Houghton,~J T., Ding,~Y., Griggs,~D J., Noguer,~M., Van der Linden,~P J., Dai,~X., Maskell,~K., and Johnson,~C A., Cambridge, Cambridge University Press, 641–693, 2001. </reference>
		<reference numeration="16" content_type="text"> Crowley,~T J. and Baum,~S K.: Is the Greenland ice sheet bistable? Paleoceanography, 10, 357–363, 1995. </reference>
		<reference numeration="17" content_type="text"> Cuffey,~K M. and Marshall,~S J.: Substantial contribution to sea-level rise during the last interglacial from the Greenland ice sheet, Nature, 404, 591–594, 2000. </reference>
		<reference numeration="18" content_type="text"> Deblonde,~G., Peltier,~W R., and Hyde,~W T.: Simulations of continental ice sheet growth over the last glacial-interglacial cycle: Experiments with a~one level seasonal energy balance model including seasonal ice albedo feedback, Global Planet. Change, 6, 37–55, 1992. </reference>
		<reference numeration="19" content_type="text"> Esch,~M B. and Herterich,~K.: A~two-dimensional coupled atmosphere-ice-sheet-continent model designed for paleoclimatic simulations, Ann. Glaciol., 14, 55–57, 1990. </reference>
		<reference numeration="20" content_type="text"> Fanning,~A F. and Weaver,~A J.: An atmospheric energy-moisture balance model: Climatology, interpentadal climate change, and coupling to an ocean general circulation model, J Geophys. Res., 101(D10), 15111–15128, 1996. </reference>
		<reference numeration="21" content_type="text"> Gregory,~J. M and Huybrechts, P: Ice-sheet contributions to future sea-level change, Philos T R. Soc. Lond. A, 364, 1709–1731, 2006. </reference>
		<reference numeration="22" content_type="text"> Gregory,~J M., Huybrechts,~P., and Raper,~S C B.: Threatened loss of the Greenland ice-sheet, Nature, 428, p. 616, doi:10.1038/428616a, 2004. </reference>
		<reference numeration="23" content_type="text"> Greve,~R.: Relation of measured basal temperatures and the spatial distribution of the geothermal heat flux for the Greenland ice sheet, Ann. Glaciol., 42, 424–432, 2005. </reference>
		<reference numeration="24" content_type="text"> Greve,~R.: On the response of the Greenland ice sheet to greenhouse climate change, Climatic Change, 46, 289–303, 2000. </reference>
		<reference numeration="25" content_type="text"> Greve.,~R.: 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), 901–918, 1997a. </reference>
		<reference numeration="26" content_type="text"> Greve.,~R.: A~continuum-mechanical formulation for shallow polythermal ice sheets, Philos T R. Soc. Lond., 355, 1726, 921–974, 1997b. </reference>
		<reference numeration="27" content_type="text"> Hanna,~E., Huybrechts,~P., Janssens,~I., Cappelen,~J., Steffen,~K., and Stephens,~A.: Runoff and mass balance of the Greenland ice sheet: 1958–2003, J Geophys. Res., 110, D13108, doi:10.1029/2004JD005641, 2005. </reference>
		<reference numeration="28" content_type="text"> Hanna,~E. and Valdes,~P.: Validation of ECMWF (Re)analysis surface climatedata, 1978–1998, for Greenland and implications for mass balance modeling of the ice sheet, Int J. Climatol., 21, 171–195, 2001. </reference>
		<reference numeration="29" content_type="text"> Hebeler,~F., Purves,~R S., and Jamieson,~S S R.: The impact of parametric uncertainty and topographic error in ice sheet modeling, J Glaciol., 54, 899–919, 2008. </reference>
		<reference numeration="30" content_type="text"> Huybrechts,~P.: Report of the Third EISMINT Workshop on Model Intercomparison, European Science Foundation, Switzerland, 1997. </reference>
		<reference numeration="31" content_type="text"> Huybrechts,~P. and de Wolde,~J.: The dynamic response of the Greenland and Antarctic ice sheets to multiple-century climatic warming, J Climate, 12, 2169–2188, 1999. </reference>
		<reference numeration="32" content_type="text"> Huybrechts,~P., Gregory,~J., Janssens,~I., and Wild, M: Modelling Antarctic and Greenland volume changes during the 20th and 21st centuries forced by GCM time slice integrations, Global Planet. Change, 42, 83–105, 2004. </reference>
		<reference numeration="33" content_type="text"> Huybrechts,~P., Letréguilly,~A., and Reeh,~N.: The Greenland ice sheet and Greenhouse warming, Palaeogeogr. Palaeocl., 89, 399–412, 1991. </reference>
		<reference numeration="34" content_type="text"> International Satellite Cloud Climatology Project: http://isccp.giss.nasa.gov/projects/browse_fc.html, access: 26~July 2009. </reference>
		<reference numeration="35" content_type="text"> Janssens,~I. and Huybrechts,~P.: The treatment of meltwater retention in mass-balance parameterizations of the Greenland ice sheet, Ann. Glaciol., 31, 133–140, 2000. </reference>
		<reference numeration="36" content_type="text"> Letréguilly,~A., Huybrechts,~P., and Reeh,~N.: Steady-state characteristics of the Greenland ice sheet under different climates, J Glaciol., 37, 149–157, 1991. </reference>
		<reference numeration="37" content_type="text"> Mikolajewicz,~U., Vizcaíno,~M., Jungclaus,~J., and Schurgers,~G.: Effect of ice sheet interactions in anthropogenic climate change simulations, Geophys. Res. Lett., 34, L18706, doi:10.1029/2007GL031173, 2007. </reference>
		<reference numeration="38" content_type="text"> North,~G R., Cahalan,~R F., and Coakley,~J A.: Energy balance climate models, Rev. Geophys. Space Phys., 19, 91–121, 1981. </reference>
		<reference numeration="39" content_type="text"> Parizek,~B R. and Alley,~R B R.: Implications of increased Greenland surface melt under global-warming scenarios: Ice-sheet simulations, Quarternary Sci. Rev., 23, 1013–1027, 2004. </reference>
		<reference numeration="40" content_type="text"> Pellicciotti,~F., Brock,~B., Strasser,~U., Burlando,~P., Funk,~M., and Corripio,~J.: An enhanced temperature-index glacier melt model including the shortwave radiation balance: Development and testing for Haut Glacier d&apos;Arolla, Switzerland, J Glaciol., 51(175), 573–587, 2005. </reference>
		<reference numeration="41" content_type="text"> Peltier,~W R. and Marshall,~S.: Coupled energy-balance ice-sheet model simulations of the glacial cycle – a~possible connection between terminations and terrigenous dust, J Geophys. Res., 100, 14269–14289, 1995. </reference>
		<reference numeration="42" content_type="text"> Petoukhov,~V., Ganopolski,~A., Brovkin,~V., Claussen,~M., Eliseev,~A., Kubatzki,~C., and Rahmstorf,~S.: CLIMBER-2: A~climate system model of intermediate complexity, Part~I: Model description and performance for present climate, Clim. Dynam., 16(1), 1–17, 2000. </reference>
		<reference numeration="43" content_type="text"> Pollard,~D.: A~simple parameterization for ice sheet ablation rate, Tellus, 32, 384–388, 1980. </reference>
		<reference numeration="44" content_type="text"> Reeh,~N.: Parameterization of melt rate and surface temperature on the Greenland ice sheet, Polarforschung, 59, 113–128, 1991. </reference>
		<reference numeration="45" content_type="text"> Ridley,~J K., Huybrechts,~P., Gregory,~J M., and Lowe,~J A.: Elimination of the Greenland ice sheet in a~high \chemCO_2 climate, J Climate, 18, 3409–3427, 2005. </reference>
		<reference numeration="46" content_type="text"> Ridley,~J K., Gregory,~J M., Huybrechts,~P., and Lowe,~J A.: Threshold for irreversible decline of the Greenland ice sheet, Clim. Dynam., doi:10.1007/s00382-009-0646-0, in press, 2009. </reference>
		<reference numeration="47" content_type="text"> Rignot,~E., Box,~J E., Burgess,~E., and Hanna,~E.: Mass balance of the Greenland ice sheet from 1958 to 2007, Geophys. Res. Lett., 35, L20502, doi:10.1029/2008GL035417, 2008. </reference>
		<reference numeration="48" content_type="text"> Rignot,~E. and Kanagaratnam,~O.: Changes in the velocity structure of the Greenland ice sheet, Science, 311, 986–990, 2006. </reference>
		<reference numeration="49" content_type="text"> Ritz,~C., Fabré,~A., and Letréguilly,~A.: Sensitivity of a~Greenland ice sheet model to ice flow and ablation parameters: Consequences for the evolution through the last climatic cycle, Clim. Dynam., 13, 11–24, 1997. </reference>
		<reference numeration="50" content_type="text"> Sellers,~W P.: A~global climate model based on the energy balance of the Earth-atmosphere system, J Appl. Meteorol., 8, 392–400, 1969. </reference>
		<reference numeration="51" content_type="text"> Schiffer,~R A. and Rossow,~W B.: ISCCP global radiance data set: A~new resource for climate research, B. Am. Meteorol. Soc., 66, 1498–1505, 1985. </reference>
		<reference numeration="52" content_type="text"> Steffen,~K., Box,~J E., and Abdalati,~W.: Greenland Climate Network: GC-Net, in: CRREL 96-27 Special Report on Glaciers, Ice Sheets and Volcanoes, trib. to M. Meier, edited by: Colbeck,~S C., USACE Cold Regions Research and Engineering Laboratory, New Hampshire, 98–103, 1996. </reference>
		<reference numeration="53" content_type="text"> Toniazzo,~T., Gregory,~J., and Huybrechts,~P.: Climatic impact of a~Greenland deglaciation and its possible irreversibility, J Climate, 17, 21–33, 2004. </reference>
		<reference numeration="54" content_type="text"> Uppala,~S M., Kellberg, P. W., Simmons, A. J., et~al.: The ERA-40 re-analysis, Q J. Roy. Meteor. Soc., 131(612), 2961–3012, 2005. </reference>
		<reference numeration="55" content_type="text"> van den Berg,~J., van de Wal,~R S., and Oerleman,~J.: A~mass balance model for the Eurasian ice sheet for the last 120 000 years, Global Planet. Change, 61, 194–208, 2008. </reference>
		<reference numeration="56" content_type="text"> Vizcaíno,~M., Mikolajewicz,~U., Gröger,~M., Maier-Reimer,~E., Schurgers,~G., and Winguth,~A.: Long-term ice sheet-climate interactions under anthropogenic greenhouse forcing simulated with a~complex earth-system model, Clim. Dynam., 31, 665–690, 2008. </reference>
		<reference numeration="57" content_type="text"> Zwally,~H J., Abdalati,~W., Herring,~T., Larson,~K., Saba,~J., and Steffen,~K.: Surface melt-induced acceleration of Greenland ice-sheet flow, Science, 297, 218–222, 2002. </reference>
	</references>
</article>

