@article{parsons_fixation_2007,
Author = {Parsons, Todd L. and Quince, Christopher},
Title = {Fixation in haploid populations exhibiting density
dependence {I}: {The} non-neutral case},
Journal = {Theoretical Population Biology},
Volume = {72},
Number = {1},
Pages = {121--135},
Keywords = {Alleles, Genetics, Population, Haploidy, Logistic
Models, Markov Chains, Models, Genetic, Mutation,
Population Density, Stochastic Processes},
abstract = {We extend the one-locus two allele Moran model of
fixation in a haploid population to the case where the
total size of the population is not fixed. The model is
defined as a two-dimensional birth-and-death process
for allele number. Changes in allele number occur
through density-independent death events and birth
events whose per capita rate decreases linearly with
the total population density. Uniquely for models of
this type, the latter is determined by these same
birth-and-death events. This provides a framework for
investigating both the effects of fluctuation in total
population number through demographic stochasticity,
and deterministic density-dependent changes in mean
density, on allele fixation. We analyze this model
using a combination of asymptotic analytic
approximations supported by numerics. We find that for
advantageous mutants demographic stochasticity of the
resident population does not affect the fixation
probability, but that deterministic changes in total
density do. In contrast, for deleterious mutants, the
fixation probability increases with increasing resident
population fluctuation size, but is relatively
insensitive to initial density. These phenomena cannot
be described by simply using a harmonic mean effective
population size.},
doi = {10.1016/j.tpb.2006.11.004},
issn = {0040-5809},
language = {eng},
month = aug,
pmid = {17239910},
shorttitle = {Fixation in haploid populations exhibiting density
dependence {I}},
year = 2007
}