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arXiv · 2206.01482

Entropy and the arrow of time in population dynamics

Diogo Costa-Cabanas·Fabio A. C. C. Chalub·Max O. Souza
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Abstract

The concept of entropy in statistical physics is related to the existence of irreversible macroscopic processes. In this work, we explore a recently introduced entropy formula for a class of stochastic processes with more than one absorbing state that is extensively used in population genetics models. We will consider the Moran process as a paradigm for this class, and will extend our discussion to other models outside this class. We will also discuss the relation between non-extensive entropies in physics and epistasis (i.e., when the effects of different alleles are not independent) and the role of symmetries in population genetic models.

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Diogo Costa-Cabanas, Fabio A. C. C. Chalub, Max O. Souza. 2022-06-03. Entropy and the arrow of time in population dynamics. https://arxiv.org/abs/2206.01482

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