Journal
THEORETICAL POPULATION BIOLOGY
Volume 125, Issue -, Pages 11-19Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.tpb.2018.11.001
Keywords
Vertical transmission; Oblique transmission; Periodic fluctuation; Migration; Protected polymorphism
Funding
- Stanford Center for Computational, Evolutionary and Human Genomics
- Morrison Institute for Population and Resources Studies at Stanford University
- John Templeton Foundation
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Evolutionary models for a cultural trait under vertical and oblique cultural transmission are analyzed. For a dichotomous trait, both the fitnesses of the variants and their rates of transmission are allowed to vary. In one class of models, transmission fluctuates cyclically together with fitnesses, and conditions are derived for a cultural polymorphism. A second class of models has transmission and selection fluctuating randomly with possible covariance between them. A third class of models involves two populations with migration between them and with transmission rates and fitnesses different in the two populations. Numerical analysis leads to qualitative conditions on the transmission rates and fitnesses that allow protected polymorphisms. With symmetric migration analytical conditions for protected polymorphism are derived. (C) 2018 The Authors. Published by Elsevier Inc.
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