Stochastic energy-balance model with a moving ice line
Probability
2023-11-28 v1
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.
Keywords
Cite
@article{arxiv.2311.15352,
title = {Stochastic energy-balance model with a moving ice line},
author = {Ilya Pavlyukevich and Marian Ritsch},
journal= {arXiv preprint arXiv:2311.15352},
year = {2023}
}
Comments
32 pages, 1 figure