Diffusion approximation for an age-class-structured population under viability and fertility selection with
Cíntia Dalila Soares1, Sabin Lessard2
1Département de mathématiques et de statistique, Université de Montréal, C.P. 6128 Succursale Centre-ville, Montréal, QC, H3C 3J7, Canada.
Abstract:
In this paper, we ascertain the validity of a diffusion approximation for the frequencies of different types under recurrent mutation and frequency-dependent viability and fertility selection in a haploid population with a fixed age-class structure in the limit of a large population size. The approximation is used to study, and explain in terms of selection coefficients, reproductive values and population-structure coefficients, the differences in the effects of viability versus fertility selection on the fixation probability of an advantageous mutant.
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