A mathematical model for positive permafrost carbon-climate feedback

The permafrost methane emission problem is the focus of attention on different climate models. Here, we present a mathematical model for permafrost lake methane emission and its influence on the climate system. We model this process using the theory of non-linear phase transitions. Further, we find...

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Bibliographic Details
Published in:IMA Journal of Applied Mathematics
Main Authors: Sudakov, Ivan, Vakulenko, Sergey A.
Format: Article in Journal/Newspaper
Language:English
Published: Oxford University Press 2015
Subjects:
Online Access:https://oceanrep.geomar.de/id/eprint/28737/
https://oceanrep.geomar.de/id/eprint/28737/1/Sudakov.pdf
https://doi.org/10.1093/imamat/hxu010
Description
Summary:The permafrost methane emission problem is the focus of attention on different climate models. Here, we present a mathematical model for permafrost lake methane emission and its influence on the climate system. We model this process using the theory of non-linear phase transitions. Further, we find that a climate catastrophe possibility depends on a value of feedback connecting the methane concentration in the atmosphere and temperature, and on the tundra permafrost methane pool.We note that the permafrost lake model that we developed for the methane emission positive feedback loop problem is a conceptual climate model.