Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-17T18:41:38.188Z Has data issue: false hasContentIssue false

A Paleoclimate Model of Northern Hemisphere Ice Sheets

Published online by Cambridge University Press:  20 January 2017

G.E. Birchfield
Affiliation:
Department of Geological Sciences, Northwestern University, Evanston, Illinois 60201 Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60201
Johannes Weertman
Affiliation:
Department of Geological Sciences, Northwestern University, Evanston, Illinois 60201 Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60201
Albert T. Lunde
Affiliation:
Department of Geological Sciences, Northwestern University, Evanston, Illinois 60201

Abstract

A model for predicting the growth and decay of ice sheets based on the astronomical theory of climate change is presented. The purpose of the study in part is to isolate the role of the ice-sheet physics and earth response under varying ice load by simplifying to the extreme the role of the hydrosphere-atmosphere. Ice sheet physics and the response of the lithosphere-asthenosphere under the ice load are modeled explicitly. Insolation anomalies (taken at a fixed latitude) directly force latitudinal displacement of the snow line. Accumulation rate a, and ablation rate a′ evaluated at mean sea level are specificed as external constants; a,a′ decrease linearly with ice sheet elevation. Rough tuning of the model to the general shape of the ice-volume record of the last two major glacials determines the external constants. Model predictions of the ages of several events in the last major glaciation compare well with the radiological ages. The six glacial terminatios (I–VI) over the last 600,000 yr are identified and the predicted ages compare reasonably well with the δ18O record for two deep-sea cores. A direct comparison of model power spectra of ice volume as a function of period with spectra of the δ18O record shows apparent underprediction of power near 100,000 yr. When a quantitative but heuristic method for taking into account the “red noise” spectrum evident in the geological records is used, a much more favorable comparison is possible. The model prediction lends support to the hypothesis that the nonlinearity of the ice-sheet physics is responsible for the 100,000-yr periodicity in the geological record of the late Pleistocene.

Type
Research Article
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

Andrews, J.T., (1970). Present and postglacial rates of uplift for glaciated northern and eastern North America derived from postglacial uplift curves Canad. J. Earth Sci. 1, 703715 CrossRefGoogle Scholar
Physical Characteristics of the Antarctic Ice Sheet (1970). American Geographical Society Folio 2 Google Scholar
Båth, M., (1974). Spectral analysis in geophysics Developments in Solid Earth Geophysics Vol. 7, Elsevier New York Google Scholar
Benson, C.S., (1962). Stratigraphic Studies in the Snow and Firn of the Greenland Ice Sheet Res. Rpt. 70-July 1962 U.S. Army Snow and Permafrost Res. Establishment (Now the U.S. Army Cold Regions and Engineering Lab.) Google Scholar
Berger, A.L., (1978). Long-term variations of daily insolation and Quaternary climatic changes Journal of Atmospheric Sciences 35, 23622367 Google Scholar
Birchfield, G.E., (1977). A study of the stability of a model continental ice sheet subject to periodic variation in heat input Journal of Geophysical Research 82, 49094913 CrossRefGoogle Scholar
Birchfield, G.E. Weertman, J., (1978). A note on the spectral response of a model continental ice sheet Journal of Geophysical Research 83, 41234125 Google Scholar
Blackman, R.B. Tukey, J.W., (1958). The Measurement of Power Spectra Dover New York Google Scholar
Broecker, W. Van Donk, J., (1970). Insolation changes, ice volumes and the O18 record in deep-sea cores Reviews of Geophysics and Space Physics 8, 169198 Google Scholar
Cathles, L.M., (1975). The Viscosity of the Earth's Mantle Princeton Univ. Press Princeton, N.J Google Scholar
CLIMAP The surface of the ice-age earth Science 191, (1976). 11311137 Google Scholar
Cox, A. Dalrymple, G.B., (1967). Statistical analysis of geomagnetic reversal data and the precision of potassium-argon dating Journal of Geophysical Research 72, 26032614 CrossRefGoogle Scholar
Emiliani, C., (1955). Pleistocene temperatures Journal of Geology 63, 538578 CrossRefGoogle Scholar
Gow, A.J. Williamson, T., (1976). Rheological implications of the internal structure and crystal fabrics of the West Antarctic ice sheet as revealed by deep core drilling at Byrd Station Geological Society of America Bulletin 87, 16651677 Google Scholar
Hasselmann, K., (1976). Stochastic climate models. Part I. Theory Tellus 28, 473484 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 Google Scholar
Hopf, D., (1978). Stability and convergence of finite difference methods for systems of nonlinear reaction-diffusion equations SIAM Journal on Numerical Analysis 15, 11611177 CrossRefGoogle Scholar
Imbrie, J. Imbrie, J.Z., (1980). Modelling the climatic response to orbital variations Science 207, 943953 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
Lamb, H.H., (1977). Climate, Present, Past and Future Vol. 2, Methuen London Google Scholar
Loerve, F., (1971). Considerations on the origin of the Quaternary icesheet of North America Arctic and Alpine Research 3, 331344 Google Scholar
Mankinen, E.A. Dalrymple, G.B., (1979). Revised geomagnetic polarity time scale for the interval 0–5 my BP Journal of Geophysical Research 84 B2 615626 CrossRefGoogle Scholar
Milankovitch, M., (1941). Canon of Insolation and the Ice-Age Problem U.S. Dept. of Commerce, Israel Program for Scientific Translations distr. by Davey, Hartford, Conn. Google Scholar
Pisias, N.G. Moore, T.C. Jr. Imbrie, J. Shackleton, N.J., (1980). The evolution of Pleistocene climate: A time series approach submitted for publication Google Scholar
Schopf, T.J.M., (1980). Paleoceanography Harvard Univ. Press Cambridge, Mass Google Scholar
Shackleton, N.J., (1967). Oxygen isotope analyses and Pleistocene temperatures re-addressed Nature 215, 1517 Google Scholar
Shackleton, N.J., (1977). The oxygen isotope stratigraphic record of the late Pleistocene Philosophical Transactions of the Royal Society of London Series B 280, 169182 Google Scholar
Shackleton, N.J. Opdyke, N.D., (1973). Oxygen isotope and paleomagnetic stratigraphy of equatorial Pacific core V28-238: Oxygen isotope temperatures and ice volumes on a 105 year and 106 year scale Quaternary Research 3, 3954 CrossRefGoogle Scholar
Shackleton, N.J. Opdyke, N.D., (1976). Oxygen-isotope and paleomagnetic stratigraphy of Pacific core V28-239 late Pliocene to latest Pleistocene Cline, R.M. Hays, J.D. Investigation of Late Quaternary Paleoceanography and Paleoclimatology, Memo. No. 145 Geol. Soc. Amer Boulder, Colo 449464 Google Scholar
Suarez, M., (1976). An Evaluation of the Astronomical Theory of the Ice Ages Dissertation Princeton University Google Scholar
Suarez, M. Held, I., (1979). The sensitivity of an energy balance climate model to variations in the orbital parameters Journal of Geophysical Research 84, 48254836 CrossRefGoogle Scholar
Weertman, J., (1973). Creep of Ice Whalley, E. Jones, S.J. Gold, L.W. Physics and Chemistry of Ice Roy. Soc. Canad Ottawa 320337 Google Scholar
Weertman, J., (1976). Milankovitch solar radiation variation and ice age ice sheet sizes Nature 261, 1720 CrossRefGoogle Scholar