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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2018
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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. |
format | Online Article Text |
id | pubmed-7513148 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT harpermarc entropicequilibriaselectionofstationaryextremainfinitepopulations AT fryerdashiell entropicequilibriaselectionofstationaryextremainfinitepopulations |