Stochastic energy-balance model with a moving ice line

2023/11/26 by Pavlyukevich, Ilya, Ritsch, Marian
#37H30 #60H10 #60J70 #86A08 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2311.15352

Abstract

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.

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