Evolutionary dynamics in frequency-dependent two-phenotype models

by: Sabin Lessard

Theoretical Population Biology, Vol. 25, No. 2. (April 1984), pp. 210-234.

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diploid, evolution, game

Abstract

General frequency-dependent selection models based on two phenotypic classes are analyzed with underlying one-locus multiallele phenotypic determination systems in diploid populations. It is proved that the mean phenotypic fitnesses tend to equality over discrete generations and genetic mutations if a phenotypic polymorphism is to be maintained. The exact conditions are examined. The present results are valid for a wide class of models whenever random groupings or assortative patterns based on phenotype and affecting fitness, linearly or not, are independent of sex, mating preferences, or kinship. They can also be applied to two-sex haploid models.

@article{citeulike:2592678, abstract = {General frequency-dependent selection models based on two phenotypic classes are analyzed with underlying one-locus multiallele phenotypic determination systems in diploid populations. It is proved that the mean phenotypic fitnesses tend to equality over discrete generations and genetic mutations if a phenotypic polymorphism is to be maintained. The exact conditions are examined. The present results are valid for a wide class of models whenever random groupings or assortative patterns based on phenotype and affecting fitness, linearly or not, are independent of sex, mating preferences, or kinship. They can also be applied to two-sex haploid models.}, author = {Lessard, Sabin }, citeulike-article-id = {2592678}, doi = {10.1016/0040-5809(84)90019-4}, journal = {Theoretical Population Biology}, keywords = {diploid, evolution, game}, month = {April}, number = {2}, pages = {210--234}, posted-at = {2008-03-26 12:01:05}, priority = {2}, title = {Evolutionary dynamics in frequency-dependent two-phenotype models}, url = {http://dx.doi.org/10.1016/0040-5809(84)90019-4}, volume = {25}, year = {1984} }

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TY - JOUR ID - citeulike:2592678 L3 - citeulike-article-id:2592678 TI - Evolutionary dynamics in frequency-dependent two-phenotype models JF - Theoretical Population Biology VL - 25 IS - 2 SP - 210 EP - 234 N2 - General frequency-dependent selection models based on two phenotypic classes are analyzed with underlying one-locus multiallele phenotypic determination systems in diploid populations. It is proved that the mean phenotypic fitnesses tend to equality over discrete generations and genetic mutations if a phenotypic polymorphism is to be maintained. The exact conditions are examined. The present results are valid for a wide class of models whenever random groupings or assortative patterns based on phenotype and affecting fitness, linearly or not, are independent of sex, mating preferences, or kinship. They can also be applied to two-sex haploid models. KW - diploid KW - evolution KW - game AU - Lessard, Sabin PY - 1984/04// UR - http://dx.doi.org/10.1016/0040-5809(84)90019-4 ER -

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