This work was partly supported by Grant ATM9813795 from the National Science Foundation, Grant DEFG02-93ER61673 from the Department of Energy, and Grant NAG5-5147 from NASA. Valuable conversations with K. Emanuel, D. Battisti, and D. MacAyeal are much appreciated. Thanks to Ralf Greve and Veronique Bugnion for much assistance with the SICOPOLIS model, and we are also grateful to Charlie Raymond and two anonymous reviewers for their insightful comments on the manuscript.
Abramowitz, M., and I. A. Stegun, 1965: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover Publications, 1046 pp.
Braithwaite, R. J., and O. B. Oleson, 1989: Calculation of glacier ablation from air temperature, West Greenland. Glacier Fluctuation and Climate Change, J. Oerlemans, Ed., Kluwer Academic, 219–233.
Calov, R., and K. Hutter, 1996: The thermomechanical response of the Greenland ice sheet to various climate scenarios. Climate Dyn.,12, 243–260.
Clark, P. U., and Coauthors, 1993: Initiation and development of the Laurentide and Cordilleran ice sheets following the last interglaciation. Quat. Sci. Rev.,12, 79–114.
Cook, K. H., and I. M. Held, 1988: Stationary waves of the ice age climate. J. Climate,1, 87–89.
Crowley, T. J., and G. R. North, 1991: Paleoclimatology. Oxford University Press, 339 pp.
Greve, R., 1997: Application of a polythermal three-dimensional ice sheet model to the Greenland ice sheet: Response to steady state and transient climate scenarios. J. Climate,10, 901–918.
Hall, N. M. J., P. J. Valdes, and B. Dong, 1996: The maintenance of the last great ice sheets: A UGAMP GCM study. J. Climate,9, 1004–1019.
Holton, J. R., 1992: An Introduction to Dynamic Meteorology. Academic Press, 511 pp.
Hoskins, B. J., and D. J. Karoly, 1981: The steady linear response of a spherical atmosphere to thermal and orographic forcing. J. Atmos. Sci.,38, 1179–1196.
Hutter, K., 1983: Theoretical Glaciology: Material Science of Ice and the Mechanics of Glaciers and Ice Sheets. D. Reidel, 510 pp.
Kageyama, M., P. J. Valdes, G. Ramstein, C. Hewitt, and U. Wyputta, 1999: Northern Hemisphere storm tracks in present day and last glacial maximum climate simulations: A comparison of the European PMIP models. J. Climate,12, 742–760.
Kalnay, E., and Coauthors, 1996: The NCEP/NCAR 40-Year Reanalysis Project. Bull. Amer. Meteor. Soc.,77, 437–471.
Kutzbach, J. E., and P. J. Guetter, 1986: The influence of changing orbital parameters and surface boundary conditions on climate simulations for the past 18 000 years. J. Atmos. Sci.,43, 1726–1759.
Lindzen, R. S., 1994: The effect of concentrated PV gradients on stationary waves. J. Atmos. Sci.,51, 3455–3466.
——, and G. H. Roe, 1997: The effect of concentrated PV gradients on stationary waves: Correction. J. Atmos. Sci.,54, 1815–1818.
Manabe, S., and A. J., Broccoli, 1985: The influence of continental ice sheets of an ice age. J. Geophys. Res.,90, 2167–2190.
Milankovitch, M., 1941: Canon of insolation and the ice age problem (in Yugoslavian). K. Serb. Acad. Beorg. Special Publication 132. (English translation by Israel Program for Scientific Translations, Jerusalem, 1969, published by the U.S. Department of Commerce and the National Science Foundation.).
Nigam, S., and R. S. Lindzen, 1989: The sensitivity of stationary waves to variations in the basic state zonal flow. J. Atmos. Sci.,46, 1746–1768.
Ohmura, A., T. Konzelmann, M. Rotach, J. Forrer, M. Wild, A. Abe-Ouchi, and H. Toritani, 1994: Energy balance for the Greenland ice sheet by observation and model computation. Snow and Ice Covers: Interaction with the Atmosphere and Ecosystems, H. G. Jones et al., Eds., IAHS Publ. 223, IAHS Press, 85–94.
Paterson, W. S. B., 1994: The Physics of Glaciers. 3d ed. Pergammon Press, 480 pp.
Pedlosky, J., 1992: Geophysical Fluid Dynamics. Springer-Verlag, 710 pp.
Peixoto, J. P., and A. H. Oort, 1992: Physics of Climate. American Institute of Physics, 520 pp.
Pollard, D., 1982: A simple model yields realistic 100 kyr glacial cycles. Nature,296, 334–338.
——, and PMIP Participating Groups, 2000: Comparisons of ice sheet surface mass budgets from Paleoclimate Modeling Intercomparison Project (PMIP) simulations. Global Planet. Change,24, 79–106.
Reeh, N., 1991: Parameterization of melt rate and surface temperature on the Greenland ice sheet. Polarforschung,59, 113–128.
Roe, G. H., 1999: Wobbly winds in an ice age: The mutual interaction between the great continental ice sheets and atmospheric stationary waves. Ph.D. thesis, Massachusetts Institute of Technology, 236 pp. [Available from Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA 02139-4307.].
——, and M. R. Allen, 1999: A comparison of competing explanations for the 100,000-yr ice age cycle. Geophys. Res. Lett.,26, 2259–2262.
——, and R. S. Lindzen, 2001: A one-dimensional model for the interaction between continental-scale ice sheets and atmospheric stationary waves. Climate Dyn., in press.
Sanberg, J. A. M., and J. Oerlemans, 1983: Modeling of Pleistocene European ice sheets: The effect of upslope precipitation. Geol. Mijnbouw,62, 267–273.
Smith, R. B., 1979: The influence of mountains on the atmosphere. Advances in Geophysics, Vol. 21, Academic Press, 87–230.
Tangborn, W. V., and M. Simont, 1988: Glaciers. 2d ed. Harper and Row, 32 pp.
Tarasov, L., and W. R. Peltier, 1997: Terminating the 100kyr ice age cycle. J. Geophys. Res.,102, 21 655–21 693.
Vettoretti, G., W. R. Peltier, and N. A. McFarlane, 2000: Global water balance and atmospheric water vapor transport at the last glacial maximum: climate simulations with the CCCma atmospheric general circulation model. Can. J. Earth Sci.,37, 769–793.
Weertman, J., 1976: Milankovitch solar radiation variations and ice age ice sheet sizes. Science,261, 17–20.
Yin, J. H., and D. S. Battisti, 2001: The importance of tropical sea surface temperature patterns in simulations of Last Glacial Maximum climate. J. Climate,14, 565–581.