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A NEW GENETIC POPULATION MODEL, AND ITS APPROACH TO HOMOZYGOSITY
Author(s) -
WATTERSON G. A.
Publication year - 1959
Publication title -
annals of human genetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.537
H-Index - 77
eISSN - 1469-1809
pISSN - 0003-4800
DOI - 10.1111/j.1469-1809.1959.tb01465.x
Subject(s) - assortative mating , population , biology , mating , genetic model , overlapping generations model , fixation (population genetics) , statistics , evolutionary biology , genetics , mathematics , demography , gene , economics , macroeconomics , sociology
Summary A simple genetic population is considered in which births occur in succession, but each birth entails the death of one parent. The asymptotic rate of approach to homozygosity for this population is shown to depend on the degree of positive assortative mating inherent in the mating system, and the rate decreases with increasing assortative mating, except for complete positive assortative mating, when the rate is very fast. The probabilities of the gene frequencies having specified values after many generations are found, and gene fixation will always occur except in a population practising complete positive assortative mating. The results for this model are compared with those obtained for other models studied by Wright and Moran, and it is found that the present model is very similar to Wright's model under random mating but, otherwise, substantial differences in behaviour may occur.