A symmetry of fixation times in evoultionary dynamics

Christine Taylor; Yoh Iwasa; Martin A. Nowak

doi:10.1016/j.jtbi.2006.06.016

A symmetry of fixation times in evoultionary dynamics

Christine Taylor, Yoh Iwasa, Martin A. Nowak

Mathematics

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

In this paper, we show that for evolutionary dynamics between two types that can be described by a Moran process, the conditional fixation time of either type is the same irrespective of the selective scenario. With frequency dependent selection between two strategies A and B of an evolutionary game, regardless of whether A dominates B, A and B are best replies to themselves, or A and B are best replies to each other, the conditional fixation times of a single A and a single B mutant are identical. This does not hold for Wright-Fisher models, nor when the mutants start from multiple copies.

Original language	English (US)
Pages (from-to)	245-251
Number of pages	7
Journal	Journal of Theoretical Biology
Volume	243
Issue number	2
DOIs	https://doi.org/10.1016/j.jtbi.2006.06.016
State	Published - Nov 21 2006

All Science Journal Classification (ASJC) codes

General Immunology and Microbiology
Applied Mathematics
General Biochemistry, Genetics and Molecular Biology
General Agricultural and Biological Sciences
Statistics and Probability
Modeling and Simulation

Keywords

Detailed balance condition
Evolutionary games
Finite populations
Fixation time
Moran process
Wright-Fisher process

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10.1016/j.jtbi.2006.06.016

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title = "A symmetry of fixation times in evoultionary dynamics",

abstract = "In this paper, we show that for evolutionary dynamics between two types that can be described by a Moran process, the conditional fixation time of either type is the same irrespective of the selective scenario. With frequency dependent selection between two strategies A and B of an evolutionary game, regardless of whether A dominates B, A and B are best replies to themselves, or A and B are best replies to each other, the conditional fixation times of a single A and a single B mutant are identical. This does not hold for Wright-Fisher models, nor when the mutants start from multiple copies.",

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AU - Iwasa, Yoh

AU - Nowak, Martin A.

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N2 - In this paper, we show that for evolutionary dynamics between two types that can be described by a Moran process, the conditional fixation time of either type is the same irrespective of the selective scenario. With frequency dependent selection between two strategies A and B of an evolutionary game, regardless of whether A dominates B, A and B are best replies to themselves, or A and B are best replies to each other, the conditional fixation times of a single A and a single B mutant are identical. This does not hold for Wright-Fisher models, nor when the mutants start from multiple copies.

AB - In this paper, we show that for evolutionary dynamics between two types that can be described by a Moran process, the conditional fixation time of either type is the same irrespective of the selective scenario. With frequency dependent selection between two strategies A and B of an evolutionary game, regardless of whether A dominates B, A and B are best replies to themselves, or A and B are best replies to each other, the conditional fixation times of a single A and a single B mutant are identical. This does not hold for Wright-Fisher models, nor when the mutants start from multiple copies.

KW - Detailed balance condition

KW - Evolutionary games

KW - Finite populations

KW - Fixation time

KW - Moran process

KW - Wright-Fisher process

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A symmetry of fixation times in evoultionary dynamics

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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