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Entropic Equilibria Selection of Stationary Extrema in Finite Populations

We propose the entropy of random Markov trajectories originating and terminating at the same state as a measure of the stability of a state of a Markov process. These entropies can be computed in terms of the entropy rates and stationary distributions of Markov processes. We apply this definition of...

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Detalles Bibliográficos
Autores principales: Harper, Marc, Fryer, Dashiell
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513148/
https://www.ncbi.nlm.nih.gov/pubmed/33265720
http://dx.doi.org/10.3390/e20090631
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author Harper, Marc
Fryer, Dashiell
author_facet Harper, Marc
Fryer, Dashiell
author_sort Harper, Marc
collection PubMed
description We propose the entropy of random Markov trajectories originating and terminating at the same state as a measure of the stability of a state of a Markov process. These entropies can be computed in terms of the entropy rates and stationary distributions of Markov processes. We apply this definition of stability to local maxima and minima of the stationary distribution of the Moran process with mutation and show that variations in population size, mutation rate, and strength of selection all affect the stability of the stationary extrema.
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spelling pubmed-75131482020-11-09 Entropic Equilibria Selection of Stationary Extrema in Finite Populations Harper, Marc Fryer, Dashiell Entropy (Basel) Article We propose the entropy of random Markov trajectories originating and terminating at the same state as a measure of the stability of a state of a Markov process. These entropies can be computed in terms of the entropy rates and stationary distributions of Markov processes. We apply this definition of stability to local maxima and minima of the stationary distribution of the Moran process with mutation and show that variations in population size, mutation rate, and strength of selection all affect the stability of the stationary extrema. MDPI 2018-08-24 /pmc/articles/PMC7513148/ /pubmed/33265720 http://dx.doi.org/10.3390/e20090631 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Harper, Marc
Fryer, Dashiell
Entropic Equilibria Selection of Stationary Extrema in Finite Populations
title Entropic Equilibria Selection of Stationary Extrema in Finite Populations
title_full Entropic Equilibria Selection of Stationary Extrema in Finite Populations
title_fullStr Entropic Equilibria Selection of Stationary Extrema in Finite Populations
title_full_unstemmed Entropic Equilibria Selection of Stationary Extrema in Finite Populations
title_short Entropic Equilibria Selection of Stationary Extrema in Finite Populations
title_sort entropic equilibria selection of stationary extrema in finite populations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513148/
https://www.ncbi.nlm.nih.gov/pubmed/33265720
http://dx.doi.org/10.3390/e20090631
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