%0 Journal Article %1 crow1971number %A Crow, James F. %A Maruyama, Takeo %D 1971 %I Elsevier BV %J Theoretical Population Biology %K coalescent_theory island_model mean_coalescence_time %N 4 %P 437--453 %R 10.1016/0040-5809(71)90033-5 %T The number of neutral alleles maintained in a finite, geographically structured population %U https://doi.org/10.1016%2F0040-5809%2871%2990033-5 %V 2 %X In a geographically structured population 1 4N.u n*T=fw l-f0 where n,r is the effective number of neutral alleles maintained in the total population at equilibrium, f,, is the probability that two homologous genes from the same individual or from the same locality are identical, f is the corresponding probability for pairs of genes drawn at random from the entire population, I( is the mutation rate, and N. is the total population number (or effective number). This is true regardless of whether the population is divided into wholly or partially isolated subgroups or is geographically continuous with isolation by distance. This assumes an infinite number of potential mutant states. If the number of such states is K, with an equal mutation rate to each, the formula becomes 1 -f,, + 4N,,r+ Regardless of the number of potential alleles, the local effective number of alleles at equilibrium is n.,~ = n.,j/f,, , and the panmictic effective population number, defined as the size of a panmictic population that would maintain the same number of neutral alleles at equilibrium, is Nsp = N.(l -f)/( 1 - fJ. That is to say, NsP is equal to the effective number not taking geographical structure into account (NJ multiplied by the ratio of the global to the local heterozygosity.

@article{crow1971number, abstract = {In a geographically structured population 1 4N.u n*T=fw l-f0 where n,r is the effective number of neutral alleles maintained in the total population at equilibrium, f,, is the probability that two homologous genes from the same individual or from the same locality are identical, f is the corresponding probability for pairs of genes drawn at random from the entire population, I( is the mutation rate, and N. is the total population number (or effective number). This is true regardless of whether the population is divided into wholly or partially isolated subgroups or is geographically continuous with isolation by distance. This assumes an infinite number of potential mutant states. If the number of such states is K, with an equal mutation rate to each, the formula becomes 1 -f,, + 4N,,r+ Regardless of the number of potential alleles, the local effective number of alleles at equilibrium is n.,~ = n.,j/f,, , and the panmictic effective population number, defined as the size of a panmictic population that would maintain the same number of neutral alleles at equilibrium, is Nsp = N.(l -f)/( 1 - fJ. That is to say, NsP is equal to the effective number not taking geographical structure into account (NJ multiplied by the ratio of the global to the local heterozygosity. }, added-at = {2022-02-05T14:26:21.000+0100}, author = {Crow, James F. and Maruyama, Takeo}, biburl = {https://www.bibsonomy.org/bibtex/23497bc0c268ec2abeb724ae318307d9c/peter.ralph}, doi = {10.1016/0040-5809(71)90033-5}, interhash = {1d8abcc56572ea7d9c14cd9c89e56ee6}, intrahash = {3497bc0c268ec2abeb724ae318307d9c}, journal = {Theoretical Population Biology}, keywords = {coalescent_theory island_model mean_coalescence_time}, month = dec, number = 4, pages = {437--453}, publisher = {Elsevier {BV}}, timestamp = {2022-02-05T14:26:21.000+0100}, title = {The number of neutral alleles maintained in a finite, geographically structured population}, url = {https://doi.org/10.1016%2F0040-5809%2871%2990033-5}, volume = 2, year = 1971 }