A symmetry of fixation times in evoultionary dynamics

Christine Taylor, Yoh Iwasa, Martin A. Nowak

Research output: Contribution to journalArticle

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

All Science Journal Classification (ASJC) codes

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

Keywords

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

Fingerprint Dive into the research topics of 'A symmetry of fixation times in evoultionary dynamics'. Together they form a unique fingerprint.

  • Cite this