Stochastic aspects of climatic transitions-response to a periodic forcing

C. Nicolis

doi:10.3402/tellusa.v34i1.10781

Stochastic aspects of climatic transitions-response to a periodic forcing

Tellus

Volume 34 (1982): Issue 1

By: C. Nicolis

Open Access

|Jan 1982

Abstract

The time-dependent properties of the Fokker–Planck equation corresponding to a zero-dimensional climate model, showing bistable behavior and subject to a weak external periodic forcing are analyzed. Conditions under which the response is amplified are found analytically. In this way the possibility of transitions between climatic states is established. The results are illustrated by the 100,000-yr periodicity of the eccentricity of the earth's orbit, in connection with glaciation cycles.

References

Arnold , L . 1973 . Stochastic differential equations . New York : Wiley .
Search in Google Scholar Back to article
Berger , A. L . 1978 . Long-term variations of caloric insolation resulting from the earth's orbital elements . Quaternary Res . 9 , 139 – 167 .
Search in Google Scholar Back to article
Benzi , R. , Parisi , G. , Sutera , A. and Vulpiani , A . 1982 . Stochastic resonance in climatic change . Tellus , 34 , 10 – 16 .
Search in Google Scholar Back to article
Cess , R. D . 1976 . Climate change: An appraisal of atmospheric feedback mechanisms employing zonal climatology . J. Atmos. Sci . 33 , 1831 – 1842 .
Search in Google Scholar Back to article
Chang , J. S. and Cooper , G . 1970 . A practical difference scheme for Fokker-Planck equations . J. Computational Phys . 6 , 1 – 16 .
Search in Google Scholar Back to article
Crafoord , C. and Killen , E . 1978 . A note on the condition for existence of more than one steady-state solution in Budyko-Sellers type model. J. Atmos. Sc i . 35 , 1123 – 1125 .
Search in Google Scholar Back to article
Gardiner , C . 1981 . In Proc. Int. Conf. On Synergetics. Berlin: Springer Verlag.
Search in Google Scholar Back to article
Imbrie , J. and Imbrie , J. Z . 1980 . Modelling the climatic response to orbital variations . Science 207 , 934 – 953 .
Search in Google Scholar Back to article
Nicolis , C . 1980a . Fluctuations , solar periodicities and climatic transitions. In Proc. Int. Conf. Sun and Climate , CNES , Toulouse .
Search in Google Scholar Back to article
Nicolis , C . 1980b . Derivation of zero-dimensional from one-dimensional climate models . J. Geophys. and Astrophys. Fluid Dyn . 14 , 91 – 103 .
Search in Google Scholar Back to article
Nicolis , C. and Nicolis , G . 1981 . Stochastic aspects of climatic transitions-Additive fluctuations . Tellus 33 , 225 – 237 .
Search in Google Scholar Back to article
Wax , N . 1954 . Selected topics in noise and stochastic processes . New York : Dover .
Search in Google Scholar Back to article