The evolution of frequency-dependent cultural transmission

被引：1

作者：

Liberman, Uri ^{[1
]}

Ram, Yoav ^{[2
]}

Altenberg, Lee ^{[3
]}

Feldman, Marcus W. ^{[4
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] IDC Herzliya, Sch Comp Sci, IL-4610101 Herzliyya, Israel

[3] Univ Hawaii Manoa, Informat & Comp Sci, Honolulu, HI 96822 USA

[4] Stanford Univ, Dept Biol, Stanford, CA 94305 USA

来源：

THEORETICAL POPULATION BIOLOGY | 2020年 / 132卷

关键词：

Vertical transmission; Oblique transmission; Frequency-dependent transmission; Frequency-dependent selection; Modifier of transmission; CONFORMIST TRANSMISSION; RECIPROCITY; NORMS;

D O I：

10.1016/j.tpb.2019.12.004

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

In a model of vertical and oblique cultural transmission of a dichotomous trait, the rates of transmission of each form of the trait are functions of the trait frequency in the population. Sufficient conditions on these functions are derived for a stable trait polymorphism to exist. If the vertical transmission rates are monotone decreasing functions of the trait frequency, a complete global stability analysis is presented. It is also shown that a unique protected polymorphism can be globally stable even though the sufficient conditions are not met. The evolution of frequency-dependent transmission is modeled using modifier theory, and exact conditions are derived for a transmission modifier to invade a population at a stable polymorphism. Finally, the interaction between frequency-dependent selection and frequency-dependent transmission is explored. (C) 2019 The Authors. Published by Elsevier Inc.

引用

页码：69 / 81

页数：13

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