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Some general conclusions on Fisher's fundamental theorem of natural selection
Author(s) -
Frisman E. Ya.
Publication year - 1978
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.197800007
Subject(s) - natural selection , selection (genetic algorithm) , mendelian inheritance , population , fundamental theorem , locus (genetics) , mathematics , function (biology) , range (aeronautics) , statistics , biology , computer science , evolutionary biology , pure mathematics , demography , genetics , artificial intelligence , gene , engineering , fixed point theorem , sociology , aerospace engineering
Possible ways for making general conclusions on Fisher's fundamental theorem on natural selection are discussed in this paper for the following three cases. I. A partially isolated population connected by a two‐way migrant flow with the centre of the specific range. 2. A limited population, i.e. a population wherein the fitnesses of the genotypical groups depend on density. 3. An elementary biocoenosis comprising two competing polymorphic species, each of which is represented by a Mendelian one‐locus population. For all three cases, a function has been found that rises monotonously along the trajectory and plays the same role as the average fitness in Fisher's theorem.