Ram Yoav, Liberman Uri, Feldman Marcus W
Department of Biology, Stanford University, Stanford, CA, United States; The Interdisciplinary Center, Herzliya, Israel(1).
School of Mathematical Sciences, Tel Aviv University, Israel.
Theor Popul Biol. 2019 Feb;125:11-19. doi: 10.1016/j.tpb.2018.11.001. Epub 2018 Nov 19.
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.
分析了垂直和斜向文化传播下文化特征的进化模型。对于二分性状，允许变体的适应度及其传播率有所不同。在一类模型中，传播与适应度一起周期性波动，并得出文化多态性的条件。第二类模型中，传播和选择随机波动，它们之间可能存在协方差。第三类模型涉及两个种群，它们之间有迁移，且两个种群的传播率和适应度不同。数值分析得出了允许受保护多态性的传播率和适应度的定性条件。对于对称迁移，得出了受保护多态性的分析条件。
