%0 Journal Article %1 Maruyama:1970:Theor-Popul-Biol:5527634 %A Maruyama, T %D 1970 %J Theor Popul Biol %K isolation_by_distance spatial_coalescent spatial_structure spectral_decomposition stepping_stone_models %N 3 %P 273-306 %T Effective number of alleles in a subdivided population %U http://www.ncbi.nlm.nih.gov/pubmed/5527634 %V 1 %X The genetic variability in a subdivided population of finite size was in- vestigated in terms of the effective number of alleles maintained. The population structures used in the investigation are the island model and the stepping stone model. For these models, exact formulas or approximation formulas which give the probability that two randomly chosen homologous genes, one from each of two specified colonies (or both from the same colony) are identical by descent were obtained. It is shown that the genetic variability in the whole population with stepping stone structure is known if the mutation rate and the variability in a single colony is known, without knowing the migration rate. The validity of the analyses was checked by simulation.

@article{Maruyama:1970:Theor-Popul-Biol:5527634, abstract = {The genetic variability in a subdivided population of finite size was in- vestigated in terms of the effective number of alleles maintained. The population structures used in the investigation are the island model and the stepping stone model. For these models, exact formulas or approximation formulas which give the probability that two randomly chosen homologous genes, one from each of two specified colonies (or both from the same colony) are identical by descent were obtained. It is shown that the genetic variability in the whole population with stepping stone structure is known if the mutation rate and the variability in a single colony is known, without knowing the migration rate. The validity of the analyses was checked by simulation. }, added-at = {2015-07-30T00:36:37.000+0200}, author = {Maruyama, T}, biburl = {https://www.bibsonomy.org/bibtex/26ed31d0e4170a0d0956c404fe428810c/peter.ralph}, interhash = {a68ba98ccec41539a31f766684fd039d}, intrahash = {6ed31d0e4170a0d0956c404fe428810c}, journal = {Theor Popul Biol}, keywords = {isolation_by_distance spatial_coalescent spatial_structure spectral_decomposition stepping_stone_models}, month = nov, number = 3, pages = {273-306}, pmid = {5527634}, timestamp = {2015-07-30T00:36:37.000+0200}, title = {Effective number of alleles in a subdivided population}, url = {http://www.ncbi.nlm.nih.gov/pubmed/5527634}, volume = 1, year = 1970 }