The equilibrium structure of a population distributed continously and homogeneously in an infinite habitat is investigated. The analysis is confined to a single locus in the absence of selection, and every mutant is assumed to be new to the population. Asymptotic expressions are derived for the probability that two homologous genes separated by a given distance are the same allele for a migration function which decays at least exponentially in three dimensions and for one with an infinite variance in one dimension. In the second case, the heterozygosity in the population is also calculated.
%0 Journal Article
%1 nagylaki1976relation
%A Nagylaki, Thomas
%D 1976
%J Mathematical Biosciences
%K isolation_by_distance long_distance_dispersal spatial_structure
%N 1
%P 73 - 80
%R https://doi.org/10.1016/0025-5564(76)90096-1
%T The relation between distant individuals in geographically structured populations
%U http://www.sciencedirect.com/science/article/pii/0025556476900961
%V 28
%X The equilibrium structure of a population distributed continously and homogeneously in an infinite habitat is investigated. The analysis is confined to a single locus in the absence of selection, and every mutant is assumed to be new to the population. Asymptotic expressions are derived for the probability that two homologous genes separated by a given distance are the same allele for a migration function which decays at least exponentially in three dimensions and for one with an infinite variance in one dimension. In the second case, the heterozygosity in the population is also calculated.
@article{nagylaki1976relation,
abstract = {The equilibrium structure of a population distributed continously and homogeneously in an infinite habitat is investigated. The analysis is confined to a single locus in the absence of selection, and every mutant is assumed to be new to the population. Asymptotic expressions are derived for the probability that two homologous genes separated by a given distance are the same allele for a migration function which decays at least exponentially in three dimensions and for one with an infinite variance in one dimension. In the second case, the heterozygosity in the population is also calculated.},
added-at = {2020-11-21T16:00:08.000+0100},
author = {Nagylaki, Thomas},
biburl = {https://www.bibsonomy.org/bibtex/2be03df5fb6cb7bb0536593fc9ebf310f/peter.ralph},
doi = {https://doi.org/10.1016/0025-5564(76)90096-1},
interhash = {5e3172a7d1032b5f351a05ab557822c4},
intrahash = {be03df5fb6cb7bb0536593fc9ebf310f},
issn = {0025-5564},
journal = {Mathematical Biosciences},
keywords = {isolation_by_distance long_distance_dispersal spatial_structure},
number = 1,
pages = {73 - 80},
timestamp = {2020-11-21T16:00:08.000+0100},
title = {The relation between distant individuals in geographically structured populations},
url = {http://www.sciencedirect.com/science/article/pii/0025556476900961},
volume = 28,
year = 1976
}