A fully coupled 3-D ice-sheet-sea-level model: Algorithm and applications

Geoscientific Model Development

Volumn 7, Issue 5, 2014, Pages 2141-2156

  De Boer, B ^a,b   Stocchi, P ^c   Van De Wal, R S W ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UTRECHT UNIVERSITY   (Netherlands)

^c ROYAL NETHERLANDS INSTITUTE FOR SEA RESEARCH   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; GLACIAL ENVIRONMENT; GLACIAL-INTERGLACIAL CYCLE; ICE SHEET; ICE THICKNESS; PLEISTOCENE; SEA LEVEL CHANGE;

ANTARCTICA; ARCTIC; EURASIA; GREENLAND; NORTH AMERICA;

EID: 84907388782     PISSN: 1991959X     EISSN: 19919603     Source Type: Journal    
DOI: 10.5194/gmd-7-2141-2014     Document Type: Article

References (68)

1. Amante, C. and Eakins, B. W.: ETOPO1 1 Arc-Minute Global Relief Model: Procedures, Data Sources and Analysis, NOAA Technical Memorandum NESDIS NGDC-24, p. 19, 2009.
2. Austermann, J., Mitrovica, J. X., Latychev, K., and Milne, G. A.: Barbados-based estimate of ice volume at Last Glacial Maximum affected by subducted plate, Mat. Geosci., 7, 553-557, 2013.
3. Bamber, J. L., Layberry, R. L. and Gogineni, S. P.: A new ice thickness and bed data set for the Greenland ice sheet 1. Measurements, data reduction, and errors, J. Geophys. Res., 106, 33733-33780, 2001.
4. Bard, E., Hamelin, B., and Fairbanks, R.: Deglacial sea-level record from Tahiti corals and the timing of global meltwater discharge, Nature, 382, 241-244, 1996.
5. Bard, E., Hamelin, B., and Delanghe-Sabatier, D.: Meltwater pulse 1B and Younger Dryas sea levels revisited with boreholes at Tahiti, Deglacial, 327, 1235-1237, 2010.
6. Bassett, S. E., Milne, G. A., and Mitrovica, J. X., and Clark, P. U.: Ice Sheet and Solid Earth Influences on Far-Field Sea-Level Histories, Science, 309, 925-928, 2005.
7. Becker, J. J., Sandwell, D. T., Smith, W. H. F., Braud, J., Binder, B., Depner, J., Fabre, D., Factor, J., Ingalls, S., Kim, S.-H., Ladner, R., Marks, K., Nelson, S., Pharaoh, A., Trimmer, R., Von Rosenberg, J., Wallace, G., and Weatherall, P.: Global Bathymetry and Elevation Data at 30 Arc Seconds Resolution: SRTM30-PLUS, Marine Geodesy, 32, 355-371, 2009.
8. Bintanja, R. and Van de Wal, R. S. W.: North American ice-sheet dynamics and the onset of 100,000-year glacial cycles, Nature, 454, 869-872, 2008.
9. Bintanja, R., Van de Wal, R. S. W., and Oerlemans, J.: Modelled atmospheric temperatures and global sea level over the past million years, Nature, 437, 125-128, 2005.
10. Briggs, R., Pollard, D., and Tarasov, L.: A glacial systems model configured for large ensemble analysis of Antarctic deglaciation, The Cryosphere, 7, 1949-1970, doi:10.5194/tc-7-1949-2013, 2013.
11. Chappell, J. and Shackleton, N. J.: Oxygen isotopes and sea level, Nature, 324, 137-140, 1986.
12. Clark, P. U., Mitrovica, J. X., Milne, G. A., and Tamisiea, M. E.: Sea-Level Fingerprinting as a Direct Test for the Source of Global Meltwater Pulse IA, Science, 295, 2438-2441, 2002.
13. de Boer, B., van de Wal, R. S. W., Lourens, L. J., and Bintanja, R.: A continuous simulation of global ice volume over the past 1 million years with 3-D ice-sheet models, Clim. Dynam., 41, 1365-1384, 2013.
14. de Boer, B., Lourens, L. J., and van de Wal, R. S. W.: Persistent 400,000-year variability of Antarctic ice volume and the carboncycle is revealed throughout the Plio-Pleistocene, Nat. Commun., 5, 2999, doi:10.1038/ncomms3999, 2014.
15. Denton, G. H., Anderson, R. F., Toggweiler, J. R., Edwards, R. L., Schaefer, J. M., and Putnam, A. E.: The Last Glacial Termination, Science, 328, 1652-1656, 2010.
16. Deschamps, P., Durand, N., Bard, E., Hamelin, B., Camoin, G., Thomas, A. L., Henderson, G. M., Okuno, J., and Yokoyama, Y.: Ice-sheet collapse and sea-level rise at the Bolling warming 14,600 years ago, Nature, 483, 559-564, 2012.
17. Ehlers, J. and Gibbard, P. L.: The extent and chronology of Cenozoic global glaciation, Quaternary International, 164-165, 6-20, 2007.
18. Engelhart, S., Peltier, W., and Horton, B.: Holocene relative sea-level changes and glacial isostatic adjustment of the US Atlantic coast, Geology, 39, 751-754, 2011.
19. Fairbanks, R. G.: A 17,000 year glacio-eustatic sea-level record: Influence of glacial melting rates on the Younger Dryas event and deep ocean circulation, Nature, 342, 637-642, 1989.
20. Fairbridge, R. W.: Eustatic changes in sea level, Phys. Chem. Earth, 5, 99-185, 1961.
21. Farrell, W. E. and Clark, J. A.: On postglacial sea level, Geophys. J. Roy. Astronom. Soc., 46, 647-667, 1976.
22. Fitzgerald, P. W., Bamber, J. L., Ridley, J. K., and Rougier, J. C.: Exploration of parametric uncertainty in a surface mass balance model applied to the Greenland ice sheet, J. Geophys. Res., 117, F01021, doi:10.1029/2011JF002067, 2012.
23. Gomez, N., Mitrovica, J. X., Huybers, P., and Clark, P. U.: Sea level as a stabilizing factor for marine-ice-sheet grounding lines, Nat. Geosci., 3, 850-853, 2010a.
24. Gomez, N., Mitrovica, J. X., Tamisiea, M. E., and Clark, P. U.: A new projection of sea level change in response to collapse of marine sectors of the Antarctic Ice Sheet, Geophys. J. Int., 180, 623-634, 2010b.
25. Gomez, N., Pollard, D., and Mitrovica, J. X.: A 3-D coupled ice sheet -sea level model applied to Antarctica through the last 40 ky, Earth Planet. Sci. Lett., 384, 88-99, 2013.
26. Grant, K. M., Rohling, E. J., Bar-Matthews, M., Ayalon, A., Medina-Elizalde, M., Bronk Ramsey, C., Satow, C., and Roberts, A. P.: Rapid coupling between ice volume and polar temperature over the past 150,000 years, Nature, 491, 744-747, 2012.
27. Hughes, P. D., Gibbard, P. L., and Ehlers, J.: Timing of glaciation during the last glacial cycle: evaluating the concept of global "Last Glacial Maximum" (LGM), Earth-Sci. Rev., 125, 171-198, 2013.
28. Hutter, L.: Theoretical Glaciology, D. Reidel, Dordrecht, 1983.
29. Huybrechts, P.: Sea-level changes at the LGM from ice-dynamic reconstructions of the Greenland and Antarctic ice sheets during the glacial cycles, Quaternary Sci. Rev., 21, 203-231, 2002.
30. Kendall, R. A., Mitrovica, J. X., and Milne, G. A.: On post-glacial sea level - II. Numerical formulation and comparative results on spherically symmetric models, Geophys. J. Int., 161, 679-706, 2005.
31. Lambeck, K., Johnston, P., and Nakada, M.: Holocene glacial rebound and sea-level change in NW Europe, Geophys. J. Int., 103, 451-468, 1990.
32. Le Brocq, A. M., Payne, A. J., and Vieli, A.: An improved Antarctic dataset for high resolution numerical ice sheet models (ALBMAP v1), Earth Syst. Sci. Data, 2, 247-260, 2010, http://www.earth-syst-sci-data.net/2/247/2010/.
33. Le Meur, E. and Huybrechts, P.: A comparision of different ways of dealing with isostacy: examples from modelling the Antarctic ice sheet during the last glacial cycle, Ann. Glaciol., 23, 309-317, 1996.
34. 18O records, Paleoceanography, 20, PA1003, doi:10.1029/2004PA001071, 2005.
35. Maris, M. N. A., de Boer, B., Ligtenberg, S. R. M., Crucifix, M., van de Berg, W. J., and Oerlemans, J.: Modelling the evolution of the Antarctic ice sheet since the last interglacial, The Cryosphere, 8, 1347-1360, doi:10.5194/tc-8-1347-2014, 2014.
36. Milne, G. and Mitrovica, J.: Postglacial sea-level change on a rotating Earth: first results from a gravitationally self-consistent sea-level equation, Geophys. J. Int., 126, F13-F20, doi:10.1111/j.1365-246X.1996.tb04691.x, 1996.
37. Milne, G. and Mitrovica, J.: Searching for eustasy in deglacial sea-level histories, Quaternary Sci. Rev., 25-26, 2292-2302, 2008.
38. Milne, G., Davis, J., Mitrovica, J., Scherneck, H., Johansson, J., Vermeer, M., and Koivula, H.: Space-Geodetic Constraints on Glacial Isostatic Adjustment in Fennoscandia, Science, 291, 2381-2385, 2001.
39. Milne, G. A., Mitrovica, J. X., and Schrag, D. P.: Estimating past continental ice volume from sea-level data, Quaternary Sci. Rev., 21, 361-376, 2002.
40. Mitrovica, J. and Milne, G.: On post-glacial sea level: I. General theory, Geophys. J. Int., 154, 253-267, 2003.
41. Mitrovica, J. X. and Peltier, W. R.: On post-glacial geoid subsidence over the equatorial ocean, J. Geophys. Res., 96, 20053-20071, 1991.
42. Morland, L. W.: Unconfined ice-shelf flow, in: Dynamics of the West Antarctic Ice Sheet, edited by: de Veen, C. J. V. and Oerlemans, J., 99-116, D. Reidel, 1987.
43. Mound, J. E. and Mitrovica, J. X.: True Polar Wander as a Mechanism for Second-Order Sea-Level Variations, Science, 279, 534-537, 1998.
44. Peltier, W. R.: The impulse response of a Maxwell Earth, Rev. Geophys. Space Phys., 12, 649-669, 1974.
45. Peltier, W. R.: Global Glacial Isostasy and the Surface of the Ice-Age Earth: The ICE-5G (VM2) model and GRACE, Annu. Rev. Earth Planet Sci., 32, 111-149, 2004.
46. Peltier, W. R. and Fairbanks, R. G.: Global glacial ice volume and Last Glacial Maximum duration from an extended Barbados sea level record, Quaternary Sci. Rev., 25, 3322-3337, 2006.
47. Pirazzoli, P. A.:World atlas of Holocene sea level changes, Elsevier, Amsterdam, 300 pp., 1991.
48. Pollard, D. and DeConto, R. M.: Modelling West Antarctic ice sheet growth and collapse through the past five million years, Nature, 458, 329-332, 2009.
49. Pollard, D. and DeConto, R. M.: Description of a hybrid ice sheet-shelf model, and application to Antarctica, Geosci. Model Dev., 5, 1273-1295, doi:10.5194/gmd-5-1273-2012, 2012.
50. Ranalli, G.: Rheology of the Earth, Chapman & Hall, London, 413 pp., 1985.
51. Raymo, M. E. and Mitrovica, J. X.: Collapse of polar ice sheets during the stage 11 interglacial, Nature, 483, 453-456, 2012.
52. Reerink, T. J., Kliphuis, M. A., and van de Wal, R. S. W.: Mapping technique of climate fields between GCM's and ice models, Geosci. Model Dev., 3, 13-41, doi:10.5194/gmd-3-13-2010, 2010.
53. Spada, G. and Stocchi, P.: SELEN: A Fortran 90 program for solving the "sea-level equation", Comput. Geosci., 33, 538-562, 2007.
54. Stocchi, P., Escutia, C., Houben, A. J. P., Vermeersen, B. L. A., Bijl, P. K., Brinkhuis, H., DeConto, R. M., Galeotti, S., Passchier, S., Pollard, D., Klaus, A., Fehr, A., Williams, T., Bendle, J. A. P., Bijl, P. K., Bohaty, S. M., Carr, S. A., Dunbar, R. B., Flores, J. A., Gonzàlez, J. J., Hayden, T. G., Iwai, M., Jimenez-Espejo, F. J., Katsuki, K., Kong, G. S., McKay, R. M., Nakai, M., Olney, M. P., Pekar, S. F., Pross, J., Riesselman, C., Röhl, U., Sakai, T., Shrivastava, P. K., Stickley, C. E., Sugisaki, S., Tauxe, L., Tuo, S., van de Flierdt, T., Welsh, K., and Yamane, M.: Relative sea-level rise around East Antarctica during Oligocene glaciation, Nat. Geosci., 6, 380-384, 2013.
55. Tovchigrechko, A. and Vakser, I. A.: How common is the funnel-like energy landscape in protein-protein interactions?, Protein Sci., 10, 1572-1583, 2001.
56. Turcotte, D. L. and Schubert, G.: Geodynamics, Cambridge University Press, 456 pp., 2002.
57. Tushingham, A. M. and Peltier, W. R.: Validation of the ICE-3G Model of Würm-Wisconsin Deglaciation using a global data base of relative sea level histories, J. Geophys. Res., 97, 3285-3304, 1992.
58. Uppala, S. M., KA˚llberg, P. W., Simmons, A. J., Andrae, U., da Costa Bechtold, V., 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., Hólm, 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, 2961-3012, 2005.
59. van der Wal, W., Barnhoorn, A., Stocchi, P., Gradmann, S., Wu, P., Drury, M., and Vermeersen, B.: Glacial isostatic adjustment model with composite 3-D Earth rheology for Fennoscandia, Geophys. J. Int., 194, 61-77, 2013.
60. Weber, M. E., Clark, P. U., Ricken, W., Mitrovica, J. X., Hostetler, S. W., and Kuhn, G.: Interhemispheric Ice-Sheet Synchronicity During the Last Glacial Maximum, Science, 334, 1265-1269, 2011.
61. Weertman, J.: Stability of the junction of an ice sheet and an ice shelf, J. Glaciol., 13, 3-11, 1974.
62. Wessel, P. and Smith, W. H. F.: Free software helps map and display data, EOS, Transact. Am. Geophys. Union, 72, 441-441, 1991.
63. Whitehouse, P. L., Bentley, M. J., and Le Brocq, A. M.: A deglacial model for Antarctica: geological constraints and glaciological modelling as a basis for a new model of Antarctic glacial isostatic adjustment, Quaternary Sci. Rev., 32, 1-24, 2012a.
64. Whitehouse, P. L., Bentley, M. J., Milne, G. A., King, M. A., and Thomas, I. D.: A new glacial isostatic adjustment model for Antarctica: calibrated and tested using observations of relative sea-level change and present-day uplift rates, Geophys. J. Int., 190, 1464-1482, 2012b.
65. Winkelmann, R., Martin, M. A., Haseloff, M., Albrecht, T., Bueler, E., Khroulev, C., and Levermann, A.: The Potsdam Parallel Ice Sheet Model (PISM-PIK) - Part 1: Model description, The Cryosphere, 5, 715-726, doi:10.5194/tc-5-715-2011, 2011.
66. Woodward, R.: On the form and position of mean sea level, United States Geological Survey Bulletin, 48, 87-170, 1888.
67. Yokoyama, Y., Lambeck, K., De Deckker, P., Johnston, P., and Fi-field, L. K.: Timing of the Last Glacial Maximum from observed sea-level minima, Nature, 406, 713-716, 2000.
68. Zweck, C. and Huybrechts, P.: Modeling of the northern hemisphere ice sheets during the last glacial cycle and glaciological sensitivity, J. Geophys. Res., 110, D07103, doi:10.1029/2004JD005489, 2005.