Автор |
Ghil, Michael |
Автор |
Le Treut, Hervé |
Дата выпуска |
1981 |
dc.description |
We present a highly simplified, zero‐dimensional model of the climatic system. The model attempts to incorporate mechanisms important on the time scale of glaciation cycles, namely, 10<sup>4</sup>–10<sup>5</sup> years. In particular, the radiation balance of the ocean‐atmosphere, the plastic flow of continental ice sheets, and the viscous flow of the upper mantle are taken into account. The stress is on the interaction between the cryosphere (ice sheets) and the asthenosphere (upper mantle), which had not been taken into account in previous energy‐balance or ice‐sheet models of climate (Weertman, 1976; Källén et al., 1979). The model exhibits free, self‐sustained oscillations of an amplitude and period comparable to those found in the paleoclimatic record of glaciations, viz., O(10 deg K) and O(10<sup>4</sup> years), respectively. Such oscillations had already been found in the simpler model of Källén et al. (1978, 1979). The fact that nonlinear, self‐sustained oscillations also obtain for the present, slightly more complex model is interesting: it offers mild support to the idea that unforced oscillations can actually exist in the real climatic system itself. These oscillations are characterized by a quarter‐phase lag between ice extent and global temperature. Given that the climatic system is a nonlinear oscillator with a period of O(10<sup>4</sup> years), it is expected that astronomical forcing at 19,000, 23,000 and 41,000 years will lead to subharmonic oscillations with a period close to 100,000 years, the dominant period of glaciation cycles. Such effects have already been noticed in the work of Birchfield and Weertman (1978) with an even simpler model, including only glacial dynamics. The careful study of the interplay between internal mechanisms and external forcing with comparable time scales represents an interesting challenge to the theory of ice ages. The results of such theoretical studies can also provide guidance for observational work. In particular, periodicities of O(10<sup>4</sup> years) in the climate record and phase lags between ice volume and temperature appear to be supported by the most recent paleogeochemical investigations (Ruddiman and Mclntyre, 1981). |
Формат |
application.pdf |
Копирайт |
Copyright 1981 by the American Geophysical Union. |
Тема |
CRYOSPHERE |
Тема |
Snow |
Тема |
Glaciology |
Тема |
HYDROLOGY |
Тема |
Glaciology |
Тема |
Snow and ice |
Тема |
ATMOSPHERIC PROCESSES |
Тема |
Meteorology: Climatology |
Тема |
TECTONOPHYSICS |
Тема |
Tectonophysics: Postglacial phenomena |
Название |
A climate model with cryodynamics and geodynamics |
Тип |
article |
DOI |
10.1029/JC086iC06p05262 |
Electronic ISSN |
2156-2202 |
Print ISSN |
0148-0227 |
Журнал |
Journal of Geophysical Research: Oceans |
Том |
86 |
Первая страница |
5262 |
Последняя страница |
5270 |
Выпуск |
C6 |
Библиографическая ссылка |
Adhémar, J. A., Révolutions de la Mer, Paris, 1842. |
Библиографическая ссылка |
Agassiz, L., Études sur les Glaciers, 346, Neuchâtel, 1840. |
Библиографическая ссылка |
Agassiz, L., Systèmes Glaciaires; Recherches sur les Glaciers, Part 1, Nouvelles Études et Expériences sur les Glaciers Actuels, 2 vols., Masson, Paris, 1847. |
Библиографическая ссылка |
Berger, A. L., Long‐term variations of daily insolation and quaternary climatic changes, J. Atmos. Sci., 35, 2362–2367, 1978. |
Библиографическая ссылка |
Bhattacharya, K., A Study of Almost‐Intransitivity as a Possible Cause of Terrestrial Climate Changes, Ph.D. thesis,Phys. Dep., Columbia Univ.,New York,1979. |
Библиографическая ссылка |
Bhattacharya, K., M.Ghil, An energy‐balance model with multiply‐periodic and quasi‐chaotic free oscillations, Evolution of Planetary Atmospheres and Climatology of the Earth, 299–310, Centre National d'Études Spatiales, Toulouse, France, 1978. |
Библиографическая ссылка |
Birchfield, G. E., A study of the stability of a model continental ice sheet subject to periodic variations in heat input, J. Geophys. Res., 82, 4909–4913, 1977. |
Библиографическая ссылка |
Birchfield, G. E., J.Weertman, A note on the spectral response of a model continental ice sheet, J. Geophys. Res., 83, 4123–4125, 1978. |
Библиографическая ссылка |
Birchfield, G. E., J.Weertman, A. T.Lunde, A paleoclimate model of Northern Hemisphere ice sheets, Quarternary Res., 1981. |
Библиографическая ссылка |
Broecker, W. S., J.Van Donk, Insolation changes, ice volumes, and the O<sup>18</sup> record in deep‐sea cores, Rev. Geophys. Space Phys., 8, 169–196, 1970. |
Библиографическая ссылка |
Duplessy, J.‐C., G.Delibrias, J. L.Turon, C.Pujol, J.Duprat, Deglacial warming of the northeastern Atlantic Ocean—Correlation with the paleoclimatic evolution of the European continent, Paleogeogr. Paleoclimatol. Paleoecol., 1981. |
Библиографическая ссылка |
Emiliani, C., Pleistocene temperatures, J. Geol., 63, 538–578, 1955. |
Библиографическая ссылка |
Fong, P., Dynamics of ice age glaciation, Climatic Change, 1980. |
Библиографическая ссылка |
Ghil, M., Internal climatic mechanisms participating in glaciation cycles, inClimate Variations and Variability: Facts and Theories, edited byA.Berger, D. Reidel,Dordrecht, Netherlands, in press,1981. |
Библиографическая ссылка |
Ghil, M., K.Bhattacharya, An energy‐balance model of glaciation cycles, Performance, Intercomparison and Sensitivity Studies, Climate ModelsW. L.Gates, GARP Publ. Ser., 22, 886–916, World Meteorol. Organ./Int. Counc. of Sci. Unions, Geneva, Switzerland, 1979. |
Библиографическая ссылка |
Hays, J. D., J.Imbrie, N. J.Shackleton, Variations in the earth's orbit: Pacemaker of the ice ages, Science, 194, 1121–1132, 1976. |
Библиографическая ссылка |
Hollin, J. T., R. G.Barry, Empirical and theoretical evidence concerning the response of the earth's ice and snow cover to a global temperature increase, Environ. Int., 2, 437–444, 1979. |
Библиографическая ссылка |
Imbrie, J., J. Z.Imbrie, Modelling the climatic response to orbital variations, Science, 207, 943–953, 1980. |
Библиографическая ссылка |
Källén, E., C.Crafoord, M.Ghil, Free oscillations in a coupled atmosphere‐hydrosphere‐cryosphere system, Evolution of Planetary Atmosphere and Climatology of the Earth, 285–297, Centre National d'Études Spatiales, Toulouse, France, 1978. |
Библиографическая ссылка |
Källén, E., C.Crafoord, M.Ghil, Free‐oscillations in a climate model with ice‐sheet dynamics, J. Atmos. Sci., 36, 2292–2303, 1979. |
Библиографическая ссылка |
Kominz, M. A., N. G.Pisias, Pleistocene climate: Deterministic or stochastic?, Science, 204, 171–173, 1979. |
Библиографическая ссылка |
Lliboutry, L., Isostasie, propriétés rhéologiques du manteau supérieru, Traité de Géophysique Interne, 1, chap. 17J.Coulomb, G.Jobert, 473–505, Masson, Paris, 1973. |
Библиографическая ссылка |
Lorenz, E. N., Deterministic nonperiodic flow, J. Atmos. Sci., 20, 130–141, 1963. |
Библиографическая ссылка |
Lorenz, E. N., Climatic change as a mathematical problem, J. Appl. Meteorol., 9, 325–329, 1970. |
Библиографическая ссылка |
Lorius, C., L.Merlivat, J.Jouzel, M.Pourchet, A 30,000‐yr isotope climatic record from Antarctic ice, Nature, 280, 644–648, 1979. |
Библиографическая ссылка |
Milankovitch, M., Canon of Insolation and the Ice Age Problem., 482 pp.,Royal Serbian Academy,Belgrade,1941. (Translated byIsrael Program for Scientific Translation,Jerusalem,1969.). |
Библиографическая ссылка |
MitchellJr., J. M., An overview of climatic variability and its causal mechanisms, Quarternary Res., 6, 481–493, 1976. |
Библиографическая ссылка |
Newell, R. E., Changes in the poleward energy flux by the atmosphere and ocean as a possible cause for ice ages, Quarternary Res., 4, 117–127, 1974. |
Библиографическая ссылка |
Newhouse, S., D.Ruelle, F.Tatens, Occurrence of strange axiom A attractors near quasi‐periodic flows on T<sup>m</sup>, m ≥ 3, Commun. Math. Phys., 64, 35–40, 1978. |
Библиографическая ссылка |
North, G. R., J. A.Coakley, Difference between seasonal and mean annual energy balance model calculations of climate and climate sensitivity, J. Atmos. Sci., 36, 1189–1204, 1979. |
Библиографическая ссылка |
North, G. R., R. F.Cahalan, J. A.CoakleyJr., Energy‐balance climate models, Rev. Geophys. Space Phys., 1981. |
Библиографическая ссылка |
Oerlemans, J., Model experiments on the 100,000 yr glacial cycle, Nature, 287, 430–432, 1980. |
Библиографическая ссылка |
Peltier, W. R., W. E.Farrell, J. A.Clark, Glacial isostasy and relative sea level: A global finite element model, Tectonophysics, 50, 81–110, 1978. |
Библиографическая ссылка |
Pollard, D., An investigation of the astronomical theory of the ice ages using a simple climate‐ice sheet model, Nature, 272, 233–235, 1978. |
Библиографическая ссылка |
Ruddiman, W. F., A.McIntyre, Moisture flux from the North Atlantic: Amplification of the 23,000‐year Milankovitch forcing period, Science, 1981. |
Библиографическая ссылка |
Saltzman, B., Global mass and energy requirements for glacial oscillations and their implication for mean ocean temperature oscillations, Tellus, 29, 205–212, 1977. |
Библиографическая ссылка |
Saltzman, B., R. E.Moritz, A time‐dependent climatic feedback system involving sea‐ice extent, ocean temperature, and CO<sub>2</sub>, Tellus, 32, 93–118, 1980. |
Библиографическая ссылка |
Sergin, V. Y., Numerical modelling of the glaciers‐ocean‐atmosphere global system, J. Geophys. Res., 84C6, 3191–3204, 1979. |
Библиографическая ссылка |
Stoker, J. J., Nonlinear Vibrations in Mechanical and Electrical Systems, 273, Interscience, New York, 1950. |
Библиографическая ссылка |
Suarez, M. J., I. M.Held, The sensitivity of an energy balance climate model to variations in the orbital parameters, J. Geophys. Res., 84C8, 4825–4836, 1979. |
Библиографическая ссылка |
Weertman, J., Milankovich solar radiation variations and ice‐age ice‐sheet sizes, Nature, 261, 17–20, 1976. |