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THE PROBABILITY OF FIXATION OF A NEW KARYOTYPE IN A CONTINUOUS POPULATION
Author(s) -
Barton N. H.,
Rouhani S.
Publication year - 1991
Publication title -
evolution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.84
H-Index - 199
eISSN - 1558-5646
pISSN - 0014-3820
DOI - 10.1111/j.1558-5646.1991.tb04326.x
Subject(s) - fixation (population genetics) , biology , population , evolutionary biology , selection (genetic algorithm) , gene flow , population size , statistical physics , genetics , gene , genetic variation , demography , computer science , physics , artificial intelligence , sociology
We investigate the probability of fixation of a chromosome rearrangement in a subdivided population, concentrating on the limit where migration is so large relative to selection ( m ≫ s ) that the population can be thought of as being continuously distributed. We study two demes, and one‐ and two‐dimensional populations. For two demes, the probability of fixation in the limit of high migration approximates that of a population with twice the size of a single deme: migration therefore greatly reduces the fixation probability. However, this behavior does not extend to a large array of demes. Then, the fixation probability depends primarily on neighborhood size ( Nb ), and may be appreciable even with strong selection and free gene flow (≈exp(‐ B ≈ Nb √ s ) in one dimension, ≈exp(‐ B ≈ Nb ) in two dimensions). Our results are close to those for the more tractable case of a polygenic character under disruptive selection.