Vertical and oblique cultural transmission fluctuating in time and in space

Yoav Ram; Uri Liberman; Marcus W. Feldman

doi:10.1016/j.tpb.2018.11.001

Vertical and oblique cultural transmission fluctuating in time and in space

Yoav Ram, Uri Liberman, Marcus W. Feldman^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	11-19
Number of pages	9
Journal	Theoretical Population Biology
Volume	125
DOIs	https://doi.org/10.1016/j.tpb.2018.11.001
State	Published - Feb 2019

Funding

Funders	Funder number
Morrison Institute for Population and Resources Studies
Stanford Center for Computational
John Templeton Foundation
Stanford University
Center for Computational, Evolutionary and Human Genomics, Stanford University

Keywords

Migration
Oblique transmission
Periodic fluctuation
Protected polymorphism
Vertical transmission

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10.1016/j.tpb.2018.11.001

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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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AU - Ram, Yoav

AU - Liberman, Uri

AU - Feldman, Marcus W.

PY - 2019/2

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AB - 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.

KW - Migration

KW - Oblique transmission

KW - Periodic fluctuation

KW - Protected polymorphism

KW - Vertical transmission

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Vertical and oblique cultural transmission fluctuating in time and in space

Abstract

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Keywords

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