Cargando…

Polychotomous traits and evolution under conformity

Conformist and anticonformist transmission of dichotomous cultural traits (i.e., traits with two variants) have been studied both experimentally, in many species, and theoretically, with mathematical models. Signatures of types of conformity to polychotomous traits (with more than two variants; e.g....

Descripción completa

Detalles Bibliográficos
Autores principales: Denton, Kaleda K., Liberman, Uri, Feldman, Marcus W.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9522326/
https://www.ncbi.nlm.nih.gov/pubmed/36122242
http://dx.doi.org/10.1073/pnas.2205914119
_version_ 1784800040176320512
author Denton, Kaleda K.
Liberman, Uri
Feldman, Marcus W.
author_facet Denton, Kaleda K.
Liberman, Uri
Feldman, Marcus W.
author_sort Denton, Kaleda K.
collection PubMed
description Conformist and anticonformist transmission of dichotomous cultural traits (i.e., traits with two variants) have been studied both experimentally, in many species, and theoretically, with mathematical models. Signatures of types of conformity to polychotomous traits (with more than two variants; e.g., baby names and syllables in bird song) have been inferred from population-level data, but there are few models that include individual-level biases among more than two discrete variants. We generalize the standard dichotomous trait conformity model by Boyd and Richerson to incorporate [Formula: see text] role models and [Formula: see text] variants. Our analysis shows that in the case of [Formula: see text] role models, under anticonformity, the central polymorphic equilibrium [Formula: see text] is globally stable, whereas under conformity, if initially the frequencies of [Formula: see text] variants are all equal to the maximum variant frequency in the population, there is global convergence to an equilibrium in which the frequencies of these variants are all [Formula: see text] and all other variants are absent. With a general number n of role models, the same result holds with conformity, whereas under anticonformity, global convergence is not guaranteed, and there may be stable frequency cycles or chaos. If both conformity and anticonformity occur for different configurations of variants among the n role models, a variety of novel polymorphic equilibria may exist and be stable. Future empirical studies may use this formulation to directly quantify an individual’s level of (anti)conformist bias to a polychotomous trait.
format Online
Article
Text
id pubmed-9522326
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher National Academy of Sciences
record_format MEDLINE/PubMed
spelling pubmed-95223262022-09-30 Polychotomous traits and evolution under conformity Denton, Kaleda K. Liberman, Uri Feldman, Marcus W. Proc Natl Acad Sci U S A Biological Sciences Conformist and anticonformist transmission of dichotomous cultural traits (i.e., traits with two variants) have been studied both experimentally, in many species, and theoretically, with mathematical models. Signatures of types of conformity to polychotomous traits (with more than two variants; e.g., baby names and syllables in bird song) have been inferred from population-level data, but there are few models that include individual-level biases among more than two discrete variants. We generalize the standard dichotomous trait conformity model by Boyd and Richerson to incorporate [Formula: see text] role models and [Formula: see text] variants. Our analysis shows that in the case of [Formula: see text] role models, under anticonformity, the central polymorphic equilibrium [Formula: see text] is globally stable, whereas under conformity, if initially the frequencies of [Formula: see text] variants are all equal to the maximum variant frequency in the population, there is global convergence to an equilibrium in which the frequencies of these variants are all [Formula: see text] and all other variants are absent. With a general number n of role models, the same result holds with conformity, whereas under anticonformity, global convergence is not guaranteed, and there may be stable frequency cycles or chaos. If both conformity and anticonformity occur for different configurations of variants among the n role models, a variety of novel polymorphic equilibria may exist and be stable. Future empirical studies may use this formulation to directly quantify an individual’s level of (anti)conformist bias to a polychotomous trait. National Academy of Sciences 2022-09-19 2022-09-27 /pmc/articles/PMC9522326/ /pubmed/36122242 http://dx.doi.org/10.1073/pnas.2205914119 Text en Copyright © 2022 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by/4.0/This open access article is distributed under Creative Commons Attribution License 4.0 (CC BY) (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Biological Sciences
Denton, Kaleda K.
Liberman, Uri
Feldman, Marcus W.
Polychotomous traits and evolution under conformity
title Polychotomous traits and evolution under conformity
title_full Polychotomous traits and evolution under conformity
title_fullStr Polychotomous traits and evolution under conformity
title_full_unstemmed Polychotomous traits and evolution under conformity
title_short Polychotomous traits and evolution under conformity
title_sort polychotomous traits and evolution under conformity
topic Biological Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9522326/
https://www.ncbi.nlm.nih.gov/pubmed/36122242
http://dx.doi.org/10.1073/pnas.2205914119
work_keys_str_mv AT dentonkaledak polychotomoustraitsandevolutionunderconformity
AT libermanuri polychotomoustraitsandevolutionunderconformity
AT feldmanmarcusw polychotomoustraitsandevolutionunderconformity