Stochastic Energy-Balance Model With A Moving Ice Line
Copyright policy )Stochastic Energy-Balance Model With A Moving Ice Line
In [SIAM J. Appl. Dyn. Sys., 12(4):2068--2092, 2013], Widiasih proposed and analyzed a deterministic one-dimensional Budyko-Sellers energy-balance model with a moving ice-line. In this paper, we extend this model to the stochastic setting and analyze it within the framework of stochastic slow-fast systems. We derive the dynamics for the ice line in the limit of a small parameter as a solution to a stochastic differential equation. The stochastic approach enables the study of co-existing (metastable) climate states as well as the transition dynamics between them.
32 pages, 1 figure
Probability (math.PR), slow-fast system, 60H10, 60J70, 37H30, 86A08, Applications of stochastic analysis (to PDEs, etc.), moving ice line, Budyko-Sellers energy-balance model, Stability theory for random and stochastic dynamical systems, FOS: Mathematics, stochastic averaging, stochastic differential system, Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.), Mathematics - Probability, Climate science and climate modeling
Probability (math.PR), slow-fast system, 60H10, 60J70, 37H30, 86A08, Applications of stochastic analysis (to PDEs, etc.), moving ice line, Budyko-Sellers energy-balance model, Stability theory for random and stochastic dynamical systems, FOS: Mathematics, stochastic averaging, stochastic differential system, Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.), Mathematics - Probability, Climate science and climate modeling
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