Vertical and oblique cultural transmission fluctuating in time and in space.

Theor Popul Biol

Department of Biology, Stanford University, Stanford, CA, United States. Electronic address:

Published: February 2019

AI Article Synopsis

  • The study analyzes evolutionary models of a cultural trait focusing on how it gets passed down (vertical and oblique transmission) and how this affects fitness.
  • Three different model classes are explored: one with cyclic fluctuations, one with random fluctuations and potential correlation, and a third that includes two migrating populations with differing traits.
  • The research defines conditions for "protected polymorphisms," which are stable variations of traits in a population, based on specific rates of transmission and fitness outcomes.

Article Abstract

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.

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Source
http://dx.doi.org/10.1016/j.tpb.2018.11.001DOI Listing

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