A symmetry of fixation times in evoultionary dynamics

Christine Taylor, Yoh Iwasa, Martin A. Nowak

Research output: Contribution to journalArticle

45 Citations (Scopus)

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 languageEnglish
Pages (from-to)245-251
Number of pages7
JournalJournal of Theoretical Biology
Volume243
Issue number2
DOIs
Publication statusPublished - Nov 21 2006

Fingerprint

Fixation
Mutant
Wright-Fisher Model
Symmetry
mutants
Evolutionary Game
Evolutionary Dynamics
Scenarios
Dependent
Strategy

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Medicine(all)
  • Modelling and Simulation
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

A symmetry of fixation times in evoultionary dynamics. / Taylor, Christine; Iwasa, Yoh; Nowak, Martin A.

In: Journal of Theoretical Biology, Vol. 243, No. 2, 21.11.2006, p. 245-251.

Research output: Contribution to journalArticle

Taylor, Christine ; Iwasa, Yoh ; Nowak, Martin A. / A symmetry of fixation times in evoultionary dynamics. In: Journal of Theoretical Biology. 2006 ; Vol. 243, No. 2. pp. 245-251.
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