Sudakov, Ivan and Vakulenko, Sergey A. (2015) A mathematical model for positive permafrost carbon-climate feedback. IMA Journal of Applied Mathematics, 80 (3). pp. 811-824. DOI 10.1093/imamat/hxu010.

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Abstract

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.

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