%0 Journal Article %1 1981 %A Slatkin, Montgomery %D 1981 %I Society for the Study of Evolution %J Evolution %K fixation_probability spatial %N 3 %P 477--488 %T Fixation Probabilities and Fixation Times in a Subdivided Population %U http://www.jstor.org/stable/2408196 %V 35 %X Approximate results for the probabilities of fixation and expected times to fixation of mutant alleles in a subdivided population are obtained. For given selection in each local population and symmetric migration between local populations, the fixation probabilities of new mutant alleles can be bounded by the value for a panmictic population of the same total size and a value obtained by assuming fixation takes place in each deme independently. These are the high and low migration limits. It is shown that if the mutant in the heterozygous state has a fitness of less than one half of the two homozygote fitnesses, the fixation probability is higher in the low migration limit than in the high migration limit. The reverse is true for the case of the heterozygote being more fit than the average of the homozygotes. The average times to fixation can be bounded by the values for a panmictic population and for the low migration limit. It is shown that the expected time to fixation increases with the inverse of the migration rate among the demes.

@article{1981, abstract = {Approximate results for the probabilities of fixation and expected times to fixation of mutant alleles in a subdivided population are obtained. For given selection in each local population and symmetric migration between local populations, the fixation probabilities of new mutant alleles can be bounded by the value for a panmictic population of the same total size and a value obtained by assuming fixation takes place in each deme independently. These are the high and low migration limits. It is shown that if the mutant in the heterozygous state has a fitness of less than one half of the two homozygote fitnesses, the fixation probability is higher in the low migration limit than in the high migration limit. The reverse is true for the case of the heterozygote being more fit than the average of the homozygotes. The average times to fixation can be bounded by the values for a panmictic population and for the low migration limit. It is shown that the expected time to fixation increases with the inverse of the migration rate among the demes.}, added-at = {2009-12-10T04:48:25.000+0100}, author = {Slatkin, Montgomery}, biburl = {https://www.bibsonomy.org/bibtex/206bf84ef460c5611b07cef0fd5a4e486/gcoop}, copyright = {Copyright © 1981 Society for the Study of Evolution}, description = {JSTOR: Evolution, Vol. 35, No. 3 (May, 1981), pp. 477-488}, interhash = {06037c5955782946f1f1e9496f71f96b}, intrahash = {06bf84ef460c5611b07cef0fd5a4e486}, issn = {00143820}, journal = {Evolution}, jstor_articletype = {primary_article}, jstor_formatteddate = {May, 1981}, keywords = {fixation_probability spatial}, number = 3, pages = {477--488}, publisher = {Society for the Study of Evolution}, timestamp = {2009-12-10T04:48:25.000+0100}, title = {Fixation Probabilities and Fixation Times in a Subdivided Population}, url = {http://www.jstor.org/stable/2408196}, volume = 35, year = 1981 }