The fixation probability of a beneficial allele in a population dividing by binary fission.
We derive formulae for the fixation probability, P, of a rare benefical allele segregating in a population of fixed size which reproduces by binary fission, in terms of the selection coefficient for the beneficial allele, s. We find that an earlier result P approximately = 4s does not depend on the assumption of binary fission, but depends on an assumption about the ordering of events in the life cycle. We find that P approximately = 2s for mutations occurring during chromosome replication and P approximately = 2.8s for mutations occurring at random times between replication events.
Johnson
Toby
T
Department of Zoology, University of British Columbia, Vancouver, Canada. johnson@zoology.ubc.ca
Gerrish
Philip J
PJ
D000483:Alleles; D000818:Animals; D002455:Cell Division; D002875:Chromosomes / Q000235:genetics*; D004261:DNA Replication; D005828:Genetics, Population; D006801:Humans; D008954:Models, Biological; D012641:Selection, Genetic