An evolutionary model that satisfies detailed balance. / Lember, Jüri; Watkins, Chris.

In: Methodology and Computing in Applied Probability, 09.11.2020.

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Abstract

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is removed according to the selection scheme that involves fitness. Thus the population size remains constant. The process evolves according to a Markov chain, and, unlike in many other existing models, the stationary distribution -- so called mutation-selection equilibrium -- can be easily found and studied. The behaviour of the stationary distribution when the population size increases is our main object of interest. Several phase-transition theorems are proved.
Original languageEnglish
Number of pages37
JournalMethodology and Computing in Applied Probability
DOIs
Publication statusPublished - 9 Nov 2020
This open access research output is licenced under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

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