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Vertical and oblique cultural transmission fluctuating in time and in space

Author

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  • Ram, Yoav
  • Liberman, Uri
  • Feldman, Marcus W.

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.

Suggested Citation

  • Ram, Yoav & Liberman, Uri & Feldman, Marcus W., 2019. "Vertical and oblique cultural transmission fluctuating in time and in space," Theoretical Population Biology, Elsevier, vol. 125(C), pages 11-19.
    • Handle: RePEc:eee:thpobi:v:125:y:2019:i:c:p:11-19
    DOI: 10.1016/j.tpb.2018.11.001
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    References listed on IDEAS

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    1. Ohtsuki, Hisashi & Wakano, Joe Yuichiro & Kobayashi, Yutaka, 2017. "Inclusive fitness analysis of cumulative cultural evolution in an island-structured population," Theoretical Population Biology, Elsevier, vol. 115(C), pages 13-23.
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    5. Bisin, Alberto & Verdier, Thierry, 2001. "The Economics of Cultural Transmission and the Dynamics of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 298-319, April.
    6. Lucy M. Aplin & Damien R. Farine & Julie Morand-Ferron & Andrew Cockburn & Alex Thornton & Ben C. Sheldon, 2015. "Experimentally induced innovations lead to persistent culture via conformity in wild birds," Nature, Nature, vol. 518(7540), pages 538-541, February.
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    Cited by:

    1. Liberman, Uri & Ram, Yoav & Altenberg, Lee & Feldman, Marcus W., 2020. "The evolution of frequency-dependent cultural transmission," Theoretical Population Biology, Elsevier, vol. 132(C), pages 69-81.
    2. Shen, Hao & Liberman, Uri & Feldman, Marcus W., 2020. "Evolution of transmission modifiers under frequency-dependent selection and transmission in constant or fluctuating environments," Theoretical Population Biology, Elsevier, vol. 135(C), pages 56-63.

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