Hostname: page-component-77c89778f8-9q27g Total loading time: 0 Render date: 2024-07-16T16:25:07.788Z Has data issue: false hasContentIssue false

Ice-Age Simulations with a Calving Ice-Sheet Model

Published online by Cambridge University Press:  20 January 2017

David Pollard*
Affiliation:
Climatic Research Institute, Oregon State University, Corvallis, Oregon 97331 USA

Abstract

Variations of ice-sheet volume during the Quaternary ice ages are simulated using a simple ice-sheet model for the Northern Hemisphere. The basic model predicts ice thickness and bedrock deformation in a north-south cross section, with a prescribed snow-budget distribution shifted uniformly in space to represent the orbital perturbations. An ice calving parameterization crudely representing proglacial lakes or marine incursions can attack the ice whenever the tip drops below sea level. The model produces a large ∼ 100,000-yr response in fair agreement (correlation coefficient up to 0.8) with the δ18O deep-sea core records. To increase confidence in the results, several of the more uncertain model components are extended or replaced, using an alternative treatment of bedrock deformation, a more realistic ice-shelf model of ice calving, and a generalized parameterization for such features as the North Atlantic deglacial meltwater layer. Much the same ice-age simulations and agreement with the δ18O records, as with the original model, are still obtained. The model is run with different types of forcing to identify which aspect of the orbital forcing controls the phase of the 100,000-yr cycles. First, the model is shown to give a ∼ 100,000-yr response to nearly any kind of higher-frequency forcing. Although over the last 2-million yrs the model phase is mainly controlled by the precessional modulation due to eccentricity, over just the last 500,000 yr the observed phase can also be simulated with eccentricity held constant. A definite conclusion on the phase control of the real 100,000-yr cycles is prevented by uncertainty in the deep-sea core time scales before ∼600,000 yr B.P. The model is adapted to represent West Antarctica, and yields unforced internal oscillations with periods of about 50,000 yr.

Type
Original Articles
Copyright
University of Washington

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adam, D.P.. 1975. Ice ages and the thermal equilibrium of the Earth, II. Quaternary Research 5. 161171.Google Scholar
Andrews, J.T.. 1973. The Wisconsin Laurentide ice sheet: Dispersal centers, problems of rates of retreat, and climatic implications. Arctic and Alpine Research 5. 185199.CrossRefGoogle Scholar
Benzi, R., Parisi, G., Sutera, A., Vulpiani, A.. 1982. Stochastic resonance in climatic change. Tellus 34. 1016.CrossRefGoogle Scholar
Berger, A.L.. 1978. Long-term variations of daily insolation and Quaternary climatic changes. Journal of the Atmospheric Sciences 35. 23622367.2.0.CO;2>CrossRefGoogle Scholar
Birchfield, G.E., Weertman, J., Lunde, A.T.. 1981. A paleoclimate model of Northern Hemispheric ice sheets. Quaternary Research 15. 126142.Google Scholar
Broecker, W.S., Van Donk, J.. 1970. Insolation changes, ice volumes and the 018 record in deep-sea cores. Review of Geophysics and Space Physics 8. 169198.Google Scholar
Budd, W.F.. 1981. The importance of ice sheets in long term changes of climate and sea level. International Association of Scientific Hydrologists Publ. No. 131 441471.Google Scholar
Budd, W.F., McInnes, B.J.. 1979. Periodic surging of the Antarctic ice sheet—An assessment by modelling. Hydrological Sciences Bulletin 24. 95104.CrossRefGoogle Scholar
Budd, W.F., Smith, I.N.. 1981. The growth and retreat of ice sheets in response to orbital radiation changes. Int. Assoc. Hydrol. Sci. 369409. Publ. No. 131.Google Scholar
Burgers, J.M., Collette, B.J.. 1958. On the problem of the postglacial uplift of Fennoscandia I and II. Proceedings of the Koninklijke Nederlandse Akademie von Wetenschappen B 61. 221241.Google Scholar
Cathles, L.M. III. 1975. The Viscosity of the Earth's Mantle. Princeton Univ. Press, Princeton, N.J.Google Scholar
Chappell, J.. 1974. Relationships between sea levels, 18O variations and orbital perturbations, during the past 250,000 years. Nature (London) 252. 199202.CrossRefGoogle Scholar
Dansgaard, W., Tauber, H.. 1969. Glacier oxygen-18 content and Pleistocene ocean temperatures. Science 166. 499502.Google Scholar
Denton, G.H., Hughes, T.J.. 1981. The Last Great Ice Sheets. Wiley, New York.Google Scholar
Emiliani, C.. 1978. The cause of the ice ages. Earth and Planetary and Science Letters 37. 349352.Google Scholar
Ghil, M., Le Treut, H.. 1981. A climate model with cryodynamics and geodynamics. Journal of Geophysical Research 86. 52625270.Google Scholar
Hays, J.D., Imbrie, J., Shackleton, N.J.. 1976. Variations in the Earth's orbit: Pacemaker of the ice ages. Science 194. 11211132.CrossRefGoogle ScholarPubMed
Imbrie, J., Imbrie, J.Z.. 1980. Modeling the climatic response to orbital variations. Science 207. 943953.CrossRefGoogle ScholarPubMed
Imbrie, J.. 1982. Chronology of oceanic δ18O variations. EOS Transactions 63. 45(Abstract). 995996. (Abstract).Google Scholar
Imbrie, J.. 1983. Geological arguments supporting the orbital theory of Pleistocene climates. Milankovitch and Climate: Understanding the Response to Orbital Forcing. Berger, A.. Reidel, Boston. in press.Google Scholar
Johnson, R.G.. 1982. Brunhes-Matuyama magnetic reversal dated at 790,000 yr B.P. by marine-astronomical correlations. Quaternary Research 17. 135147.Google Scholar
Kominz, M.A., Heath, G.R., Ku, T.-L., Pisias, N.G.. 1979. Brunhes time scales and the interpretation of climatic change. Earth and Planetary Science Letters 45. 394410.Google Scholar
Moore, T.C. Jr., Pisias, N.G., Dunn, D.A.. 1982. Carbonate time series and the Quaternary and late Miocene sediments in the Pacific ocean: A spectral comparison. Marine Geology 46. 217233.Google Scholar
Nicolis, C.. 1982. Stochastic aspects of climatic transitions—Response to a periodic forcing. Tellus 34. 19.CrossRefGoogle Scholar
Oerlemans, J.. 1980. Model experiments on the 100,000-yr glacial cycle. Nature (London) 287. 430432.CrossRefGoogle Scholar
Peltier, W.R.. 1981. Ice age geodynamics. Annual Review of Earth and Planetary Sciences 9. 199225.Google Scholar
Pisias, N.G., Moore, T.C. Jr.. 1981. The evolution of Pleistocene climate: A time series approach. Earth and Planetary Science Letters 52. 450458.Google Scholar
Pollard, D.. 1982a. A simple ice sheet model yields realistic 100 kyr glacial cycles. Nature (London) 296. 334338.Google Scholar
Pollard, D.. 1982b. A coupled climate-ice sheet model applied to the Quaternary ice ages Journal of Geophysical Research Climatic Research Institute, Corvallis, Oregon. Report No. 37. Also submitted to.Google Scholar
Pollard, D., Ingersoll, A.P., Lockwood, J.G.. 1980. Response of a zonal climate-ice sheet model to the orbital perturbations during the Quaternary ice ages. Tellus 32. 301319.Google Scholar
Ruddiman, W.F., McIntyre, A.. 1981. Oceanic mechanisms for amplification of the 23,000-cycleyear ice-volume Science 212. 617627.Google Scholar
Saltzman, B.. 1982. Stochastically-driven climatic fluctuations in the sea-ice, ocean temperature, CO2 feedback system. Tellus 34. 97112.Google Scholar
Schneider, S.H., Thompson, S.L.. 1979. Ice ages and orbital variations: Some simple theory and modelling. Quaternary Research 12. 188203.Google Scholar
Sergin, V.Ya.. 1979. Numerical modeling of the glaciers-ocean-atmosphere global system. Journal of Geophysical Research 84. 31913204.CrossRefGoogle Scholar
Shackleton, N.J., Opdyke, N.D.. 1976. Oxygenisotope and paleomagnetic stratigraphy of Pacific core V28–239 late Pliocene to latest Pleistocene. Geological Society of America, Memoir 145. 449464.Google Scholar
Suarez, M.J., Held, I.M.. 1979. The sensitivity of an energy balance climate model to variations in the orbital parameters. Journal of Geophysical Research 84. 48254836.Google Scholar
Thomas, R.H.. 1977. Calving bay dynamics and ice sheet retreat up the St. Lawrence valley system. Geographie Physique et Quaternaire 31. 347356.Google Scholar
Thomas, R.H.. 1979. The dynamics of marine ice sheets. Journal of Glaciology 24. 167177.CrossRefGoogle Scholar
Thomas, R.H., Bentley, C.R.. 1978. A model for Holocene retreat of the West Antarctic ice sheet. Quaternary Research 10. 150170.Google Scholar
Walcott, R.I.. 1973. Structure of the Earth from glacioisostatic rebound. Annual Review of Earth and Planetary Science 1. 1537.CrossRefGoogle Scholar
Weertman, J.. 1957. Deformation of floating ice shelves. Journal of Glaciology 3. 3842.Google Scholar
Weertman, J.. 1974. Stability of the junction of an ice sheet and an ice shelf. Journal of Glaciology 13. 311.Google Scholar
Weertman, J.. 1976. Milankovitch solar radiation variations and ice age ice sheet sizes. Nature (London) 261. 1720.Google Scholar