Abstract
An attempt is made to simulate the Pleistocene glacial cycles with a numerical model of the Northern Hemisphere ice sheets. This model treats the vertically-integrated ice flow along a meridian, including computation of bedrock adjustment and temperature distribution in the ice. Basal melt water is traced and controls ice-mass discharge.
The model produces asymmetric glacial cycles, even when it is not forced. Model parameters can be chosen such that cycles with a duration of about 100 000 yr occur. Due to the production of basal melt water and bedrock sinking, deglaciations are very rapid.
The occurrence of glacial cycles in the model is a stable feature, but thephase of the cycles is very sensitive to the model parameters. The main conclusion is that ice-sheet dynamics may provide an explanation for the Pleistocene glacial cycles. However, the ‘predictability’ of the ice-volume record appears to be small.
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Ambach, W.: 1972, ‘Zur Schätzung der Eis-Nettoablation im Randgebiet des Grönlandischen Inlandeises’,Polarforschung 42, 18–23.
Andrews, J. T. and Manhaffy, M. A. W.: 1976, ‘Growth Rate of the Laurentide Ice Sheet and Sea-Level Lowering (With Emphasis on the 115 000 BP Sea Level Low)’,Quaternary Res. 6, 167–183.
Berger, A. L.: 1978, ‘Long-Term Variations of Daily Insolation and Quaternary Climatic Changes’,J. Atmos. Sci. 35, 2362–2367.
Birchfield, G. E.: 1977, ‘A Study of the Stability of a Model Continental Ice Sheet Subject to Periodic Variations in Heat Input’,J. Geophys. Res. 82, 4909–4913.
Birchfield, G. E. and Weertman, J.: 1978, ‘A Note on the Spectral Response of a Model Continental Ice Sheet’,J. Geophys. Res. 83, 4123–4125.
Birchfield, G. E., Weertman, J., and Lunde, A. T.: 1981, ‘A Paleoclimatic Model of the Northern Hemisphere Ice Sheets’,Quaternary Res. (in press).
Bodvarsson, G.: 1955, ‘On the Flow of Ice Sheets and Glaciers’,Jökull 5, 1–8.
Budd, W. F.: 1981, ‘The Importance of Ice Sheets in Long Term Changes of Sea Level and Climate’,IAHS Pub. No. 131, 441–471.
Budd, W. F. and Smith, I. N.: 1981, ‘The Growth and Retreat of Ice Sheets in Response to Orbital Radiation Changes’,IAHS Pub. No. 131, 369–409.
Budd, J. F. and McInnes, B.: 1975, ‘Modelling of Periodically Surging Glaciers’,Science 186, 925–927.
Budyko, M. I.: 1969, ‘The Effect of Solar Radiation Variations on the Climate of the Earth’,Tellus 21, 611–619.
Coakley, J. A. and Wielicki, B.: 1979, ‘Testing Energy Balance Climate Models’,J. Atmos Sci. 36, 2031–2039.
Dool, H. M. van den: 1980, ‘On the Role of Cloud Amount on an Energy-Balance Model of the Earth's Climate’,J. Atmos. Sci. 37, 939–946.
Gal-Chen, T. and Schneider, S. H.: 1976, ‘Energy Balance Climate Modeling: Comparison of Radiative and Dynamic Feedback Mechanisms’,Tellus 28, 108–121.
Ghil, M. and Le Treut, H.; 1981, ‘A Climate Model with Cryodynamics and Geodynamics’,J. Geophys. Res. 86, 5262–5270.
Hartmann, D. L. and Short, D. A.: 1979, ‘On the Role of Zonal Asymmetries in Climatic Change’,J. Atmos. Sci. 36, 519–528.
Hays, J. D., Imbrie, J., and Shackleton, N. G.: 1976, ‘Variations in the Earth's Orbit: Pacemaker of the Ice Ages’,Science 194, 1121–1132.
Howard, L. N.: 1979, ‘Nonlinear Oscillations’, in Hoppensteadt (ed.),Nonlinear Oscillations in Biology, Lectures in Applied Mathematics, Vol. 17, American Mathematical Society, 253 pp.
Imbrie, J., Donk, J. van, and Kipp, N. G.: 1973, ‘Paleoclimatic Investigation of a Late Pleistocene Carribean Deep-Sea Core: Comparison of Isotopic and Faunal Methods’,Quaternary Res. 3, 10–38.
Jenssen, D.: 1977, ‘A Three-Dimensional Ice Sheet Model’,J. Glaciology 18, 373–390.
Källen, E., Crafoord, C., and Ghil, M.: 1979, ‘Free Oscillations in a Climate Model with Ice-Sheet Dynamics’,J. Atmos. Sci. 36, 2292–2303.
Lliboutry, L.: 1966, ‘Bottom Temperatures and Basal Low-Velocity Layer in an Ice Sheet’,J. Geophys. Res. 71, 2535–2543.
Lindzen, R. S. and Farrell, B.: 1977, ‘Some Realistic Modifications of Simple Climate Models’,J. Atmos. Sci. 34, 1487–1501.
Mesinger, F. and Arakawa, A.: 1976, ‘Numerical Methods Used in Atmospheric Models’, Vol. 1.GARP Publication Ser. No. 17, 64 pp.
Nicolis, C. and Nicolis, G.: 1981, ‘Stochastic Aspects of Climatic Transitions - Additive Fluctuations’,Tellus 33, 225–234.
North, G. R. and Coakley, J. A.: 1979, ‘Differences Between Seasonal and Mean Annual Energy Balance Model Calculations of Climate and Climate Sensitivity’,J. Atmos. Sci. 36, 1189–1204.
Oerlemans, J.: 1980a, ‘Model Experiments on the 100 000-yr Glacial Cycle’,Nature 287, 430–432.
Oerlemans, J.: 1980b, ‘On Zonal Asymmetry and Climate Sensitivity’,Tellus 32, 489–499.
Oerlemans, J.: 1980c, ‘Continental Ice Sheets and the Planetary Radiation Budget’,Quaternary Res. 14, 349–359.
Oerlemans, J.: 1981, ‘Some Basic Experiments with a Vertically-Integrated Ice Sheet Model’,Tellus 33, 1–11.
Oerlemans, J.: 1982, ‘Response of the Antarctic Ice Sheet to a Climatic Warming: A Model Study’,J. Climatology 2, 1–11.
Oerlemans, J. and Vernekar, A. D.: 1981, ‘A Model Study of the Relation Between Northern Hemisphere Glaciation and Precipitation Rates’,Contr. Atm. Phys. 54, 352–361.
Paterson, W. S. B.: 1969,The Physics of Glaciers, Pergamon Press, 250 pp.
Paterson, W. S. B.: 1981, ‘Ice Sheets and Ice Shelves’, in Colbeck (ed.),Dynamics of Snow and Ice Masses, Academic Press, 468 pp.
Pollard, D.: 1978, ‘An Investigation of the Astronomical Theory of the Ice Age Using a Simple Climate-Ice Sheet Model’,Nature 272, 233–235.
Pollard, D., Ingersoll, A. P., and Lockwood, J. G.: 1980, ‘Response of a Zonal Climate-Ice Sheet Model to the Orbital Perturbations During the Quaternary Ice Ages’,Tellus 32, 301–319.
Pollard, D.: 1982, ‘A Simple Ice-Sheet Model Yields Realistic 100 k yr Glacial Cycles’,Nature 272, 233–235.
Putnins, P.: 1970, ‘The Climate of Greenland’, in Orvig (ed.),World Survey of Climatology, Elsevier, Vol. 14, 128 pp.
Saltzman, B., Sutera, A., and Evenson, A.: 1981, ‘Structural Stochastic Stability of a Simple Auto-Oscillatory Climatic Feedback System’,J. Atmos. Sci. 38, 494–503.
Shackleton, N. G. and Opdyke, N. D.: 1973, ‘Oxygen Isotope and Paleomagnetic Stratigraphy of Equatorial Pacific Core V28–238: Oxygen Isotope Temperatures and Ice Volumes on a 105 and 106 yr Scale’,Quaternary Res. 3, 39–55.
Shackleton, N. G. and Opdyke, N. D.: 1976, ‘Oxygen Isotope and Paleomagnetic Stratigraphy of Pacific Core v28–239, Late Pliocene to Latest Pleistocene’,Geol. Soc. Am. Mem. 145, 449–464.
Schneider, S. H.: 1972, ‘Cloudiness as a Global Feedback Mechanism: The Effects on the Radiation Balance and Surface Temperature of Variations in Cloudiness’,J. Atmos. Sci. 29, 1413–1422.
Sellers, W. D.: 1969, ‘A Global Climatic Model Based on the Energy Balance of the Earth-Atmosphere System’,J. Applied. Meteor. 8, 392–400.
Sergin, V. Y.: 1979, ‘Numerical Modelling of the Glaciers-Ocean-Atmosphere Global System’,J. Geophys. Res. 84, 3191–3204.
Sutera, A.: 1981, ‘On Stochastic Perturbation and Long-Term Climate Behaviour’,Quart. J. Roy. Met. Soc. 107, 137–152.
Turcotte, D. L.: 1979, ‘Flexure’,Advances in Geophysics 21, 51–86.
Warren, S. G. and Schneider, S. H.: 1979, ‘Seasonal Simulation as a Test for Uncertainties in Parameterizations of a Budyko-Sellers Zonal Climate Model’,J. Atmos. Sci. 36, 1377–1391.
Weertman, J.: 1961, ‘Stability of Ice-Age Ice Sheets’,J. Geophys. Res. 66, 3783–3792.
Weertman, J.: 1966, ‘Effect of a Basal Water Layer on the Dimensions of Ice Sheets’,J. Glaciol. 6, 191–207.
Weertman, J.: 1976, ‘Milankovitch Solar Radiation Variations and Ice Age Ice Sheet Sizes’,Nature 261, 17–20.
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Oerlemans, J. Glacial cycles and ice-sheet modelling. Climatic Change 4, 353–374 (1982). https://doi.org/10.1007/BF02423468
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DOI: https://doi.org/10.1007/BF02423468