A model of a stochastically driven ice sheet with planetary wave feedback

References

• Batchelor, G. K. 1956. The theory of homogenous turbu-lence. Cambridge University Press.
   Google Scholar
• 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.
   Web of Science ®Google Scholar
• Budyko, M. I. 1969. The effect of solar radiation variations on the climate of the earth. Tellus 21, 611–619.
   Google Scholar
• Carmichael, R. D. and Smith, E. R. 1962. Mathematicaltables and formulas. New York: Dover Publications.
   Google Scholar
• CLIMAP, 1976. The surface of the ice-age earth. Science 191, 1131–1137.
   PubMed Web of Science ®Google Scholar
• Derome, J. and Wiin-Nielsen, A. 1971. Response of a middle latitude model to forcing by topography and stationary heat sources. Mon. Wea. Rev. 99, 564–576.
   Web of Science ®Google Scholar
• Döös, B. R. 1962. The influence of exchange of sensible heat with the earth's surface on the planetary flow. Tellus 14, 133–147.
   Google Scholar
• Egger, J. 1976a. On the theory of the steady pertur-bations in the troposphere. Tellus 28, 381–390.
   Google Scholar
• Egger, J. 1976b. The linear response of a hemispheric two-level primitive equation model to forcing by topography. Mon. Wea. Rev. 104, 351–364.
   Web of Science ®Google Scholar
• Frankignoul, C. and Hasselmann, K. 1977. Stochastic climate models, Part 2, Application to sea-surface temperature anomalies and thermocline variability. Tellus 29, 289–305.
   Google Scholar
• Hasselmann, K. 1976. Stochastic climate models, Part 1, Theory. Tellus 28, 473–485.
   Google Scholar
• Kasahara, A. and Washington, W. 1971. General circulation experiments with a six-layer NCAR model, including orography, cloudiness and surface tempera-ture calculations. J. Atmos. Sci. 18, 657–701.
   Google Scholar
• Kellogg, W. W. 1975. Climate feedback mechanisms involving the polar regions. In: Climate of the arctic. Geophysical Institute, University of Alaska.
   Google Scholar
• Lau, N.-C. 1979. The observed structure of tropospheric stationary waves and the local balances of vorticity and heat. To appear in J. Atmos. Sci.
   Google Scholar
• Lemke, P. 1977. Stochastic climate models, Part 3, Application to zonally averaged energy models. Tellus 29, 385–392.
   Google Scholar
• Manabe, S. and Terpstra, T. B. 1974. The effect of mountains on the general circulation of the atmos-phere as identified by numerical experiments. J. Atmos. Sci. 31, 3–42.
   Web of Science ®Google Scholar
• North, G. R. 1975. Theory of energy-balance climate models. J. Atmos. Sci. 32, 1301–1307.
   Web of Science ®Google Scholar
• Nye, J. F. 1959. The motion of ice-sheets and glaciers. J. Glaciol. 3, 493–507.
   Google Scholar
• Oerlemans, J. and van den Dool, H. M. 1978. Energy balance climate models: stability experiments with a refined albedo and updated coefficients for infrared emission. J. A tmos. Sci. 35, 371–381.
   Google Scholar
• Oort, A. H. 1977. The interannual variability of atmospheric circulation statistics. NOAA Prof. Paper No. 8.
   Google Scholar
• Oort, A. H. and Rasmusson, E. M. 1971. Atmospheric circulation statistics. NOAA Prof. Paper No. 5.
   Google Scholar
• Pittock, A. B., Frakes, L. A., Jenssen, D., Peterson J. A. and Zillman, J. W. 1978.Climatic change and variability, a southern perspective. Cambridge Univer-sity Press.
   Google Scholar
• Pollard, D. 1978. An investigation of the astronomical theory of the ice ages using a simple climate—ice sheet model. Nature 272, 233–235.
   Web of Science ®Google Scholar
• Sellers, W. D. 1969. A global climatic model based on the energy balance of the earth-atmosphere system. J. Apl. Meteor. 8, 392–400.
   Google Scholar
• Smagorinsky, J. 1953. The dynamical influence of largescale heat sources and sinks on the quasi-stationary motions of the atmosphere. Quart. J. Roy. Met. Soc. 79, 342–366.
   Web of Science ®Google Scholar
• Sommerville, R. C. J., Stone, P. H., Halem, M., Hansen, J. E., Hogan, J. S., Druyan, L. M., Russell, G., Lacis, A. A„ Quirk , W. J. and Tenenbaum, J. 1974. The GISS model of the global atmosphere. J. Atmos. Sci.a 31, 84-117.
   Google Scholar
• Soong, T. T. 1973. Random differential equations in science and engineering. Academic Press.
   Google Scholar
• Sugden, D. E. and John, B. S. 1976. Glaciers and landscape. Edward Arnold Ltd.
   Google Scholar
• Van Loon, 1-1„ Jenne, R. L. and Labitzke. K. 1973. Zonal harmonic standing waves. J. Geophys. Res. 78, 4463-4471.
   Google Scholar
• Weertman, J. 1961. Stability of ice-age ice sheets. J. Geophys. Res. 66, 3783–3792.
   Google Scholar
• Weertman, J. 1976. Milankovitch solar radiation vari-ations and ice age ice sheet sizes. Nature 261, 17–20.
   Web of Science ®Google Scholar