Entropy and the arrow of time in population dynamics

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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.

Original languageEnglish
Article number104817
Number of pages8
JournalBioSystems
Volume223
DOIs
Publication statusPublished - Jan 2023

Keywords

  • Entropy
  • Epistasis
  • Fundamental symmetries
  • Moran process
  • Time-irreversible processes

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