IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v125y2019icp11-19.html
   My bibliography  Save this article

Vertical and oblique cultural transmission fluctuating in time and in space

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580918301333
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2018.11.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    2. Aoki, Kenichi & Feldman, Marcus W., 2014. "Evolution of learning strategies in temporally and spatially variable environments: A review of theory," Theoretical Population Biology, Elsevier, vol. 91(C), pages 3-19.
    3. 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.
    4. Wakano, Joe Yuichiro & Miura, Chiaki, 2014. "Trade-off between learning and exploitation: The Pareto-optimal versus evolutionarily stable learning schedule in cumulative cultural evolution," Theoretical Population Biology, Elsevier, vol. 91(C), pages 37-43.
    5. Marcus W. Feldman & Kenichi Aoki & Jochen Kumm, 1996. "Individual Versus Social Learning: Evolutionary Analysis in a Fluctuating Environment," Working Papers 96-05-030, Santa Fe Institute.
    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.
    7. Aoki, Kenichi & Wakano, Joe Yuichiro & Lehmann, Laurent, 2012. "Evolutionarily stable learning schedules and cumulative culture in discrete generation models," Theoretical Population Biology, Elsevier, vol. 81(4), pages 300-309.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mullon, Charles & Lehmann, Laurent, 2017. "Invasion fitness for gene–culture co-evolution in family-structured populations and an application to cumulative culture under vertical transmission," Theoretical Population Biology, Elsevier, vol. 116(C), pages 33-46.
    2. 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.
    3. Nakahashi, Wataru, 2013. "Evolution of improvement and cumulative culture," Theoretical Population Biology, Elsevier, vol. 83(C), pages 30-38.
    4. Kobayashi, Yutaka & Ohtsuki, Hisashi & Wakano, Joe Y., 2016. "Population size vs. social connectedness — A gene-culture coevolutionary approach to cumulative cultural evolution," Theoretical Population Biology, Elsevier, vol. 111(C), pages 87-95.
    5. Aoki, Kenichi & Feldman, Marcus W., 2014. "Evolution of learning strategies in temporally and spatially variable environments: A review of theory," Theoretical Population Biology, Elsevier, vol. 91(C), pages 3-19.
    6. Pieter Berg & TuongVan Vu & Lucas Molleman, 2024. "Unpredictable benefits of social information can lead to the evolution of individual differences in social learning," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    7. Kobayashi, Yutaka & Ohtsuki, Hisashi, 2014. "Evolution of social versus individual learning in a subdivided population revisited: Comparative analysis of three coexistence mechanisms using the inclusive-fitness method," Theoretical Population Biology, Elsevier, vol. 92(C), pages 78-87.
    8. Aoki, Kenichi, 2015. "Modeling abrupt cultural regime shifts during the Palaeolithic and Stone Age," Theoretical Population Biology, Elsevier, vol. 100(C), pages 6-12.
    9. Engelhardt, Sebastian v. & Freytag, Andreas, 2013. "Institutions, culture, and open source," Journal of Economic Behavior & Organization, Elsevier, vol. 95(C), pages 90-110.
    10. Victor Hiller, 2014. "Gender Inequality, Endogenous Cultural Norms, and Economic Development," Scandinavian Journal of Economics, Wiley Blackwell, vol. 116(2), pages 455-481, April.
    11. Domenico Delli Gatti & Jakob Grazzini & Domenico Massaro & Fabrizio Panebianco, 2022. "The Impact of Growth on the Transmission of Patience," CESifo Working Paper Series 9829, CESifo.
    12. Gregory Ponthiere, 2010. "Unequal Longevities and Lifestyles Transmission," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(1), pages 93-126, February.
    13. Dimitrios Varvarigos, 2020. "Cultural Transmission, Education-Promoting Attitudes, and Economic Development," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 173-194, July.
    14. Daron Acemoglu & Matthew O. Jackson, 2017. "Social Norms and the Enforcement of Laws," Journal of the European Economic Association, European Economic Association, vol. 15(2), pages 245-295.
    15. Alger, Ingela, 2021. "On the evolution of male competitiveness," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 228-254.
    16. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    17. Keith Head & Thierry Mayer, 2008. "Detection Of Local Interactions From The Spatial Pattern Of Names In France," Journal of Regional Science, Wiley Blackwell, vol. 48(1), pages 67-95, February.
    18. Litina, Anastasia, 2012. "Unfavorable land endowment, cooperation, and reversal of fortune," MPRA Paper 39702, University Library of Munich, Germany.
    19. Gonzalo Olcina & Vicente Calabuig, 2015. "Coordinated Punishment and the Evolution of Cooperation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(2), pages 147-173, April.
    20. Melindi-Ghidi, Paolo & Dedeurwaerdere, Tom & Fabbri, Giorgio, 2020. "Using environmental knowledge brokers to promote deep green agri-environment measures," Ecological Economics, Elsevier, vol. 176(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:thpobi:v:125:y:2019:i:c:p:11-19. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/intelligence .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.