<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">TC</journal-id>
<journal-title-group>
<journal-title>The Cryosphere</journal-title>
<abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1994-0424</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/tc-9-179-2015</article-id>
<title-group>
<article-title>Simulating the Greenland ice sheet under present-day and palaeo constraints including a new discharge parameterization</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Calov</surname>
<given-names>R.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Robinson</surname>
<given-names>A.</given-names>
<ext-link>https://orcid.org/0000-0003-3519-5293</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Perrette</surname>
<given-names>M.</given-names>
<ext-link>https://orcid.org/0000-0002-6309-4863</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ganopolski</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Potsdam Institute for Climate Impact Research, Potsdam, Germany</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Universidad Complutense Madrid, 28040 Madrid, Spain</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Instituto de Geociencias, UCM-CSIC, 28040 Madrid, Spain</addr-line>
</aff>
<pub-date pub-type="epub">
<day>05</day>
<month>02</month>
<year>2015</year>
</pub-date>
<volume>9</volume>
<issue>1</issue>
<fpage>179</fpage>
<lpage>196</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2015 R. Calov et al.</copyright-statement>
<copyright-year>2015</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://tc.copernicus.org/articles/9/179/2015/tc-9-179-2015.html">This article is available from https://tc.copernicus.org/articles/9/179/2015/tc-9-179-2015.html</self-uri>
<self-uri xlink:href="https://tc.copernicus.org/articles/9/179/2015/tc-9-179-2015.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/9/179/2015/tc-9-179-2015.pdf</self-uri>
<abstract>
<p>In this paper, we propose a new sub-grid scale parameterization for the ice
discharge into the ocean through outlet glaciers and inspect the role of
different observational and palaeo constraints for the choice of an optimal
set of model parameters. This parameterization was introduced into the
polythermal ice-sheet model SICOPOLIS, which is coupled to the regional
climate model of intermediate complexity REMBO. Using the coupled model, we
performed large ensemble simulations over the last two glacial cycles by
varying two major parameters: a melt parameter in the surface melt scheme of
REMBO and a discharge scaling parameter in our parameterization of ice
discharge. Our empirical constraints are the present-day Greenland ice sheet
surface elevation, the surface mass balance partition (ratio between total
ice discharge and total precipitation) and the Eemian interglacial elevation
drop relative to present day in the vicinity of the NEEM ice core. We show
that the ice discharge parameterization enables us to simulate both the
correct ice-sheet shape and mass balance partition at the same time without
explicitly resolving the Greenland outlet glaciers. For model verification,
we compare the simulated total and sectoral ice discharge with other
estimates. For the model versions that are consistent with the range of
observational and palaeo constraints, our simulated Greenland ice sheet
contribution to Eemian sea-level rise relative to present-day amounts to
1.4 m on average (in the range of 0.6 and 2.5 m).</p>
</abstract>
<counts><page-count count="18"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Applegate, P. J., Kirchner, N., Stone, E. J., Keller, K., and Greve, R.: An assessment of key model parametric uncertainties in projections of Greenland Ice Sheet behavior, The Cryosphere, 6, 589–606, &lt;a href=&quot;http://dx.doi.org/10.5194/tc-6-589-2012&quot;&gt;https://doi.org/10.5194/tc-6-589-2012&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Bales, R. C., Guo, Q., Shen, D., McConnell, J. R., Du, G., Burkhart, J. F., Spikes, V. B., Hanna, E., and 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, &lt;a href=&quot;http://dx.doi.org/10.1029/2008JD011208&quot;&gt;https://doi.org/10.1029/2008JD011208&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Bamber, J. L., Layberry, R. L., and Gogenini, S. P.: A new ice thickness and bed data set for the Greenland ice sheet, 1. Measurement, data reduction, and errors, J. Geophys. Res., 106, 33773–33780, 2001.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Born, A. and Nisancioglu, K. H.: Melting of Northern Greenland during the last interglaciation, The Cryosphere, 6, 1239–1250, &lt;a href=&quot;http://dx.doi.org/10.5194/tc-6-1239-2012&quot;&gt;https://doi.org/10.5194/tc-6-1239-2012&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Bueler, E. and Brown, J.: Shallow shelf approximation as a &quot;sliding law&quot; in a thermomechanically coupled ice sheet model, J. Geophys. Res., 114, F03008, &lt;a href=&quot;http://dx.doi.org/10.1029/2008JF001179&quot;&gt;https://doi.org/10.1029/2008JF001179&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Calov, R. and Ganopolski, A.: Multistability and hysteresis in the climate-cryosphere system under orbital forcing, Geophys. Res. Lett., 32, L21717, &lt;a href=&quot;http://dx.doi.org/10.1029/2005GL024518&quot;&gt;https://doi.org/10.1029/2005GL024518&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Calov, R., Ganopolski, A., Claussen, M., Petoukhov, V., and Greve, R.: Transient simulation of the last glacial inception, Part I: glacial inception as a bifurcation of the climate system, Clim. Dynam., 24, 545–561, &lt;a href=&quot;http://dx.doi.org/10.1007/s00382-005-0007-6&quot;&gt;https://doi.org/10.1007/s00382-005-0007-6&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Claussen, M., Mysak, L. A., Weaver, A. J., Crucifix, M., Fichefet, T., Loutre, M.-F., Weber, S. L., Alcamo, J., Alexeev, V. A., Berger, A., Calov, R., Ganopolski, A., Goosse, H., Lohman, G., Lunkeit, F., Mokhov, I. I., Petoukhov, V., Stone, P., and Wang, Z.: Earth system models of intermediate complexity: Closing the gap in the spectrum of climate system models, Clim. Dynam., 18, 579–586, &lt;a href=&quot;http://dx.doi.org/10.1007/s00382-001-0200-1&quot;&gt;https://doi.org/10.1007/s00382-001-0200-1&lt;/a&gt;, 2002.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Enderlin, E. M., Howat, I. M., Jeong, S., Noh, M.-J., van Angelen, J. H., and van den Broeke, M. R.: An improved mass budget for the Greenland ice sheet, Geophys. Res. Lett., 41, 866–872, &lt;a href=&quot;http://dx.doi.org/10.1002/2013GL059010&quot;&gt;https://doi.org/10.1002/2013GL059010&lt;/a&gt;, 2014.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Fürst, J. J., Goelzer, H., and Huybrechts, P.: Effect of higher-order stress gradients on the centennial mass evolution of the Greenland ice sheet, The Cryosphere, 7, 183–199, &lt;a href=&quot;http://dx.doi.org/10.5194/tc-7-183-2013&quot;&gt;https://doi.org/10.5194/tc-7-183-2013&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Ganopolski, A. and Calov, R.: The role of orbital forcing, carbon dioxide and regolith in 100 kyr glacial cycles, Clim. Past, 7, 1415–1425, &lt;a href=&quot;http://dx.doi.org/10.5194/cp-7-1415-2011&quot;&gt;https://doi.org/10.5194/cp-7-1415-2011&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Ganopolski, A., Calov, R., and Claussen, M.: Simulation of the last glacial cycle with a coupled climate ice-sheet model of intermediate complexity, Clim. Past, 6, 229–244, &lt;a href=&quot;http://dx.doi.org/10.5194/cp-6-229-2010&quot;&gt;https://doi.org/10.5194/cp-6-229-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Goelzer, H., Huybrechts, P., Loutre, M. F., Goosse, H., Fichefet, T., and Mouchet, A.: Impact of Greenland and Antarctic ice sheet interactions on climate sensitivity, Clim. Dynam., 37, 1005–1018, &lt;a href=&quot;http://dx.doi.org/10.1007/s00382-010-0885-0&quot;&gt;https://doi.org/10.1007/s00382-010-0885-0&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Goelzer, H., Huybrechts, P., Fürst, J. J., Nick, F. M., Andersen, M. L., Edwards, T. L., Fettweis, X., Payne, A. J., and Shannon, S.: Sensitivity of Greenland ice sheet projections to model formulations, J. Glaciol., 59, 733–549, &lt;a href=&quot;http://dx.doi.org/10.3189/2013JoG12J182&quot;&gt;https://doi.org/10.3189/2013JoG12J182&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Graversen, R. G., Drijfhout, S., Hazeleger, W., van de Wal, R., Bintanja, R., and Helsen, M.: Greenland&apos;s contribution to global sea-level rise by the end of the 21st century, Clim. Dynam., 37, 1427–1442, &lt;a href=&quot;http://dx.doi.org/10.1007/s00382-010-0918-8&quot;&gt;https://doi.org/10.1007/s00382-010-0918-8&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Greve, R.: A continuum-mechanical formulation for shallow polythermal ice sheets, Philos. T. Roy. Soc. Lond. A, 355, 921–974, &lt;a href=&quot;http://dx.doi.org/10.1098/rsta.1997.0050&quot;&gt;https://doi.org/10.1098/rsta.1997.0050&lt;/a&gt;, 1997.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Greve, R.: On the response of the Greenland ice sheet to greenhouse climate change, Climatic Change, 46, 289–303, 2000.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Greve, R., Saito, F., and Abe-Ouchi, A.: Initial results of the SeaRISE numerical experiments with the models SICOPOLIS and IcIES for the Greenland ice sheet., Ann. Glaciol., 52, 23–30, 2011.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Hanna, E., Navarro, F. J., Pattyn, F., Domingues, C. M., Fettweis, X., Ivins, E. R., Nicholls, R. J., Ritz, C., Smith, B., Tulaczyk., S., Whitehouse, P. L., and Zwally, H. J.: Ice-sheet mass balance and climate change, Nature, 498, 51–59, &lt;a href=&quot;http://dx.doi.org/10.1038/nature12238&quot;&gt;https://doi.org/10.1038/nature12238&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Helsen, M. M., van de Berg, W. J., van de Wal, R. S. W., van den Broeke, M. R., and Oerlemans, J.: Coupled regional climate–ice-sheet simulation shows limited Greenland ice loss during the Eemian, Clim. Past, 9, 1773–1788, &lt;a href=&quot;http://dx.doi.org/10.5194/cp-9-1773-2013&quot;&gt;https://doi.org/10.5194/cp-9-1773-2013&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Hutter, K.: Theoretical Glaciology; Material Science of Ice and the Mechanics of Glaciers and Ice Sheets, D. Reidel Publishing Company, Dordrecht, the Netherlands, 1983.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Huybrechts, P. and de Wolde, J.: The dynamic response of the Antarctic and Greenland ice sheets to multiple-century climatic warming, J. Climate, 12, 2169–2188, &lt;a href=&quot;http://dx.doi.org/10.1175/1520-0442(1999)012&lt;2169:TDROTG&gt;2.0.CO;2&quot;&gt;https://doi.org/10.1175/1520-0442(1999)012&lt;2169:TDROTG&gt;2.0.CO;2&lt;/a&gt;, 1999.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Huybrechts, P., Letréguilly, A., and Reeh, N.: The Greenland ice sheet and greenhouse warming, Global Planet. Change, 3, 399–412, 1991.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Joughin, I., Smith, B. E., Howat, I. M., Scambos, T., and Moon, T.: Greenland flow variability from ice-sheet-wide velocity mapping, J. Glaciol., 56, 415–430, 2010.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Larour, E., Schiermeier, J., Rignot, E., Seroussi, H., Morlighem, M., and Paden, J.: Sensitivity analysis of Pine Island Glacier ice flow using ISSM and DAKOTA, J. Geophys. Res., 117, F02009, &lt;a href=&quot;http://dx.doi.org/10.1029/2011JF002146&quot;&gt;https://doi.org/10.1029/2011JF002146&lt;/a&gt;, 2012a.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Larour, E., Seroussi, H., Morlighem, M., and Rignot, E.: Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM), J. Geophys. Res., 117, F01022, &lt;a href=&quot;http://dx.doi.org/10.1029/2011JF002140&quot;&gt;https://doi.org/10.1029/2011JF002140&lt;/a&gt;, 2012b.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Lipscomb, W. H., Fyke, J. G., Vizcaíno, M., Sacks, W. J., Wolfe, J., Vertenstein, M., Craig, A., Kluzek, E., and Lawrence, D. M.: Implementation and initial evaluation of the Glimmer Community Ice Sheet Model in the Community Earth System Model, J. Climate, 26, 7352–7371, &lt;a href=&quot;http://dx.doi.org/10.1175/JCLI-D-12-00557.1&quot;&gt;https://doi.org/10.1175/JCLI-D-12-00557.1&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Moon, T. and Joughin, I.: Changes in ice front position on Greenland&apos;s outlet glaciers from 1992 to 2007, J. Geophys. Res., 113, F02022, &lt;a href=&quot;http://dx.doi.org/10.1029/2007JF000927&quot;&gt;https://doi.org/10.1029/2007JF000927&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Moon, T., Joughin, I., Smith, B., and Howat, I.: 21st-century evolution of Greenland outlet glacier velocities, Science, 336, 576–578, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1219985&quot;&gt;https://doi.org/10.1126/science.1219985&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Morlighem, M., Rignot, E., Mouginot, J., Seroussi, H., and Larour, E.: Deeply incised submarine glacial valleys beneath the Greenland ice sheet, Nat. Geosci, 7, 418–422, &lt;a href=&quot;http://dx.doi.org/10.1038/ngeo2167&quot;&gt;https://doi.org/10.1038/ngeo2167&lt;/a&gt;, 2014.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">NEEM community members: Eemian interglacial reconstructed from a Greenland folded ice core, Nature, 493, 489–494, &lt;a href=&quot;http://dx.doi.org/10.1038/nature11789&quot;&gt;https://doi.org/10.1038/nature11789&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Nick, F. M., Vieli, A., Howat, I. M., and Joughin, I.: Large-scale changes in Greenland outlet glacier dynamics triggered at the terminus, Nat. Geosci., 2, 110–114, &lt;a href=&quot;http://dx.doi.org/10.1038/ngeo394&quot;&gt;https://doi.org/10.1038/ngeo394&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Nowicki, S., Bindschadler, R. A., Abe-Ouchi, A., Aschwanden, A., Bueler, E., Choi, H., Fastook, J., Granzow, G., Greve, R., Gutowski, G., Herzfeld, U., Jackson, C., Johnson, J., Khroulev, C., Larour, E., Levermann, A., Lipscomb, W. H., Martin, M. A., Morlighem, M., Parizek, B. R., Pollard, D., Price, S. F., Ren, D. D., Rignot, E., Saito, F., Sato, T., Seddik, H., Seroussi, H., Takahashi, K., Walker, R., and Wang, W. L.: Insights into spatial sensitivities of ice mass response to environmental change from the SeaRISE ice sheet modeling project II: Greenland, Geophys. Res. Lett., 118, 1025–1044, &lt;a href=&quot;http://dx.doi.org/10.1002/jgrf.20076&quot;&gt;https://doi.org/10.1002/jgrf.20076&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Ohmura, A. and Reeh, N.: New precipitation and accumulation maps for Greenland, J. Glaciol., 37, 140–148, 1991.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Otto-Bliesner, B. L., Marshall, S. J., Overpeck, J. T., Miller, G. H., and Hu, A.: Simulating Arctic climate warmth and icefield retreat in the last interglaciation, Science, 311, 1751–1753, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1120808&quot;&gt;https://doi.org/10.1126/science.1120808&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">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, 1–17, 2000.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Price, S. F., Payne, A. J., Howat, I., and Smith, B. E.: Committed sea-level rise for the next century from Greenland ice sheet dynamics during the past decade, P. Natl. Acad. Sci. USA, 108, 8978–8983, &lt;a href=&quot;http://dx.doi.org/10.1073/pnas.1017313108&quot;&gt;https://doi.org/10.1073/pnas.1017313108&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Quiquet, A., Ritz, C., Punge, H. J., and Salas y Mélia, D.: Greenland ice sheet contribution to sea level rise during the last interglacial period: a modelling study driven and constrained by ice core data, Clim. Past, 9, 353–366, &lt;a href=&quot;http://dx.doi.org/10.5194/cp-9-353-2013&quot;&gt;https://doi.org/10.5194/cp-9-353-2013&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Reeh, N.: Calving from Greenland glaciers: Observations, balance estimates of calving rates, calving laws, in: Report on the workshop on the calving rate of West Greenland glaciers in response to climate change, edited by: Reeh, N., Danish Polar Center, Copenhagen, 85–102, 1994.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Ridley, J. K., Huybrechts, P., Gregory, J. M., and Lowe, J. A.: Elimination of the Greenland ice sheet in a high CO&lt;sub&gt;2&lt;/sub&gt; climate, J. Climate, 18, 3409–3427, 2005.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Rignot, E. and Kanagaratnam, P.: Changes in the velocity structure of the Greenland ice sheet, Science, 311, 986–990, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1121381&quot;&gt;https://doi.org/10.1126/science.1121381&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Rignot, E. and Mouginot, J.: Ice flow in Greenland for the International Polar Year 2008–2009, Geophys. Res. Lett., 39, L11501, &lt;a href=&quot;http://dx.doi.org/10.1029/2012GL051634&quot;&gt;https://doi.org/10.1029/2012GL051634&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">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, &lt;a href=&quot;http://dx.doi.org/10.1029/2008GL035417&quot;&gt;https://doi.org/10.1029/2008GL035417&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Robinson, A., Calov, R., and Ganopolski, A.: An efficient regional energy-moisture balance model for simulation of the Greenland Ice Sheet response to climate change, The Cryosphere, 4, 129–144, &lt;a href=&quot;http://dx.doi.org/10.5194/tc-4-129-2010&quot;&gt;https://doi.org/10.5194/tc-4-129-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Robinson, A., Calov, R., and Ganopolski, A.: Greenland ice sheet model parameters constrained using simulations of the Eemian Interglacial, Clim. Past, 7, 381–396, &lt;a href=&quot;http://dx.doi.org/10.5194/cp-7-381-2011&quot;&gt;https://doi.org/10.5194/cp-7-381-2011&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Robinson, A., Calov, R., and Ganopolski, A.: Multistability and critical thresholds of the Greenland ice sheet, Nat. Clim. Change, 2, 429–432, &lt;a href=&quot;http://dx.doi.org/10.1038/NCLIMATE1449&quot;&gt;https://doi.org/10.1038/NCLIMATE1449&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Seddik, H., Greve, R., Zwinger, T., Gillet-Chaulet, F., and Gagliardini, O.: Simulations of the Greenland ice sheet 100 years into the future with the full Stokes model Elmer/Ice, J. Glaciol., 58, 427–440, &lt;a href=&quot;http://dx.doi.org/10.3189/2012JoG11J177&quot;&gt;https://doi.org/10.3189/2012JoG11J177&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Shepherd, A., Ivins, E. R., Geruo, A., Barletta, V. R., Bentley, M. J., Bettadpur, S., Briggs, K. H., Bromwich, D. H., Forsberg, R., Galin, N., Horwath, M., Jacobs, S., Joughin, I., King, M. A., Lenaerts, J. T. M., Li, J. L., Ligtenberg, S. R. M., Luckman, A., Luthcke, S. B., McMillan, M., Meister, R., Milne, G., Mouginot, J., Muir, A., Nicolas, J. P., Paden, J., Payne, A. J., Pritchard, H., Rignot, E., Rott, H., Sorensen, L. S., Scambos, T. A., Scheuchl, B., Schrama, E. J. O., Smith, B., Sundal, A. V., van Angelen, J. H., van de Berg, W. J., van den Broeke, M. R., Vaughan, D. G., Velicogna, I., Wahr, J., Whitehouse, P. L., Wingham, D. J., Yi, D. H., Young, D., and Zwally, H. J.: A reconciled estimate of ice-sheet mass balance, Science, 338, 1183–1189, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1228102&quot;&gt;https://doi.org/10.1126/science.1228102&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Stone, E. J., Lunt, D. J., Rutt, I. C., and Hanna, E.: Investigating the sensitivity of numerical model simulations of the modern state of the Greenland ice-sheet and its future response to climate change, The Cryosphere, 4, 397–417, &lt;a href=&quot;http://dx.doi.org/10.5194/tc-4-397-2010&quot;&gt;https://doi.org/10.5194/tc-4-397-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Stone, E. J., Lunt, D. J., Annan, J. D., and Hargreaves, J. C.: Quantification of the Greenland ice sheet contribution to Last Interglacial sea level rise, Clim. Past, 9, 621–639, &lt;a href=&quot;http://dx.doi.org/10.5194/cp-9-621-2013&quot;&gt;https://doi.org/10.5194/cp-9-621-2013&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Straneo, F., Sutherland, D. A., Holland, D., Gladish, C., Hamilton, G. S., Johnson, H. L., Rignot, E., Xu, Y., and Koppes, M.: Characteristics of ocean waters reaching Greenland&apos;s glaciers, Ann. Glaciol., 53, 202–210, &lt;a href=&quot;http://dx.doi.org/10.3189/2012AoG60A059&quot;&gt;https://doi.org/10.3189/2012AoG60A059&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Tarasov, L. and Peltier, W. R.: Greenland glacial history, borehole constraints, and Eemian extent, J. Geophys. Res., 108, 2143–2163, &lt;a href=&quot;http://dx.doi.org/10.1029/2001JB001731&quot;&gt;https://doi.org/10.1029/2001JB001731&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Uppala, S. M., Kallberg, P. W., Simmons, A. J., Andrae, U., Bechtold, V. D., Fiorino, M., Gibson, J. K., Haseler, J., Hernandez, A., Kelly, G. A., Li, X., Onogi, K., Saarinen, S., Sokka, N., Allan, R. P., Andersson, E., Arpe, K., Balmaseda, M. A., Beljaars, A. C. M., van de Berg, L., Bidlot, J., Bormann, N., Caires, S., Chevallier, F., Dethof, A., Dragosavac, M., Fisher, M., Fuentes, M., Hagemann, S., Holm, E., Hoskins, B. J., Isaksen, L., Janssen, P. A. E. M., Jenne, R., McNally, A. P., Mahfouf, J. F., Morcrette, J. J., Rayner, N. A., Saunders, R. W., Simon, P., Sterl, A., Trenberth, K. E., Untch, A., Vasiljevic, D., Viterbo, P., and Woollen, J.: The ERA-40 re-analysis, Q. J. Roy. Meteorol. Soc., 131, 2143–2163, &lt;a href=&quot;http://dx.doi.org/10.1256/qj.04.176&quot;&gt;https://doi.org/10.1256/qj.04.176&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">van de Berg, W. J., van den Broeke, M., Ettema, J., van Meijgaard, E., and Kaspar, F.: Significant contribution of insolation to Eemian melting of the Greenland ice sheet, Nat. Geosci., 4, 679–683, &lt;a href=&quot;http://dx.doi.org/10.1038/ngeo1245&quot;&gt;https://doi.org/10.1038/ngeo1245&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple">van den Berg, J., van de Wal, R. S. W., and Oerlemans, J.: A mass balance model for the Eurasian Ice Sheet for the last 120000 years, Global Planet. Change, 61, 194–208, &lt;a href=&quot;http://dx.doi.org/10.1016/j.gloplacha.2007.08.015&quot;&gt;https://doi.org/10.1016/j.gloplacha.2007.08.015&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple">van de Wal, R. S. W. and Oerlemans, J.: Modelling the short-term response of the Greenland ice-sheet to global warming, Clim. Dynam., 13, 733–744, 1997.</mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple">Vizcaíno, M., Mikolajewicz, U., Jungclaus, J., and Schurgers, G.: Climate modification by future ice sheet changes and consequences for ice sheet mass balance, Clim. Dynam., 34, 301–324, &lt;a href=&quot;http://dx.doi.org/10.1007/s00382-009-0591-y&quot;&gt;https://doi.org/10.1007/s00382-009-0591-y&lt;/a&gt;, 2010.</mixed-citation>
</ref>
</ref-list>
</back>
</article>