On random conformity bias in cultural transmission of polychotomous traits.

Autor: Denton KK; Stanford University, Department of Biology, Stanford, CA 94305, USA., Liberman U; School of Mathematical Sciences, Tel-Aviv University, Tel Aviv, 69978, Israel., Feldman MW; Stanford University, Department of Biology, Stanford, CA 94305, USA. Electronic address: mfeldman@stanford.edu.
Jazyk: angličtina
Zdroj: Theoretical population biology [Theor Popul Biol] 2024 Apr; Vol. 156, pp. 5-11. Date of Electronic Publication: 2023 Dec 22.
DOI: 10.1016/j.tpb.2023.12.003
Abstrakt: Mathematical models of conformity and anti-conformity have commonly included a set of simplifying assumptions. For example, (1) there are m=2 cultural variants in the population, (2) naive individuals observe the cultural variants of n=3 adult "role models," and (3) individuals' levels of conformity or anti-conformity do not change over time. Three recent theoretical papers have shown that departures from each of these assumptions can produce new population dynamics. Here, we explore cases in which multiple, or all, of these assumptions are violated simultaneously: namely, in a population with m variants of a trait where conformity (or anti-conformity) occurs with respect to n role models, we study a model in which the conformity rates at each generation are random variables that are independent of the variant frequencies at that generation. For this model a class of symmetric constant equilibria exist, and it is possible that all of these equilibria are simultaneously stochastically locally stable. In such cases, the effect of initial conditions on subsequent evolutionary trajectories becomes very complicated.
(Copyright © 2023 The Authors. Published by Elsevier Inc. All rights reserved.)
Databáze: MEDLINE
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