IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v74y2008i4p356-368.html
   My bibliography  Save this article

Evolution of learning in subdivided populations that occupy environmentally heterogeneous sites

Author

Listed:
  • Aoki, Kenichi
  • Nakahashi, Wataru

Abstract

We study the effects of natural selection and migration on the numbers of individual learners and social learners in subdivided populations that occupy environmentally heterogeneous sites. The island model and the circular stepping model each have four classes of globally stable equilibria (fixation of individual learners, polymorphism of individual and social learners, fixation of social learners, and extinction). The linear stepping stone model has an additional class of equilibria, which are characterized by the complete absence of phenotypes adapted to the interior sites. Low and high rates of migration favor social and individual learners, respectively, in all three models. In addition, we use the stepping stone models to study the range expansion of a species, initially confined to one environmentally homogeneous site, into the spatially heterogeneous world. The successive peaks of the transient spatial distributions of the number of individual learners occur at initially empty sites.

Suggested Citation

  • Aoki, Kenichi & Nakahashi, Wataru, 2008. "Evolution of learning in subdivided populations that occupy environmentally heterogeneous sites," Theoretical Population Biology, Elsevier, vol. 74(4), pages 356-368.
    • Handle: RePEc:eee:thpobi:v:74:y:2008:i:4:p:356-368
    DOI: 10.1016/j.tpb.2008.09.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580908001081
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2008.09.006?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. 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.
    2. Tim D. White & Berhane Asfaw & David DeGusta & Henry Gilbert & Gary D. Richards & Gen Suwa & F. Clark Howell, 2003. "Pleistocene Homo sapiens from Middle Awash, Ethiopia," Nature, Nature, vol. 423(6941), pages 742-747, June.
    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. Vaios Koliofotis, 2022. "Sexual selection of conspicuous consumption," Journal of Evolutionary Economics, Springer, vol. 32(2), pages 531-552, April.
    2. Arbilly, Michal & Laland, Kevin N., 2014. "The local enhancement conundrum: In search of the adaptive value of a social learning mechanism," Theoretical Population Biology, Elsevier, vol. 91(C), pages 50-57.
    3. 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.
    4. 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.
    5. 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.
    6. Nakahashi, Wataru, 2013. "Evolution of improvement and cumulative culture," Theoretical Population Biology, Elsevier, vol. 83(C), pages 30-38.
    7. Aoki, Kenichi, 2015. "Modeling abrupt cultural regime shifts during the Palaeolithic and Stone Age," Theoretical Population Biology, Elsevier, vol. 100(C), pages 6-12.
    8. Kobayashi, Yutaka & Aoki, Kenichi, 2012. "Innovativeness, population size and cumulative cultural evolution," Theoretical Population Biology, Elsevier, vol. 82(1), pages 38-47.
    9. Nakahashi, Wataru, 2010. "Evolution of learning capacities and learning levels," Theoretical Population Biology, Elsevier, vol. 78(3), pages 211-224.
    10. Wakano, Joe Y. & Kawasaki, Kohkichi & Shigesada, Nanako & Aoki, Kenichi, 2011. "Coexistence of individual and social learners during range expansion," Theoretical Population Biology, Elsevier, vol. 80(2), pages 132-140.

    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. Guzmán, Ricardo Andrés & Rodríguez-Sickert, Carlos & Rowthorn, Robert, 2006. "When in Rome, do as the Romans do: the coevolution of altruistic punishment, conformist learning, and cooperation," MPRA Paper 2037, University Library of Munich, Germany.
    2. Wakano, Joe Y. & Kawasaki, Kohkichi & Shigesada, Nanako & Aoki, Kenichi, 2011. "Coexistence of individual and social learners during range expansion," Theoretical Population Biology, Elsevier, vol. 80(2), pages 132-140.
    3. Borofsky, Talia & Feldman, Marcus W., 2022. "Success-biased social learning in a one-consumer, two-resource model," Theoretical Population Biology, Elsevier, vol. 146(C), pages 29-35.
    4. N. Marshall & I. Gordon & A. Ash, 2011. "The reluctance of resource-users to adopt seasonal climate forecasts to enhance resilience to climate variability on the rangelands," Climatic Change, Springer, vol. 107(3), pages 511-529, August.
    5. Ricardo Guzman & Robert Rowthorn & Carlos Rodríguez Sickert, 2008. "Teorías De La Evolución Del Comportamiento Cooperativo: Una Revisión Crítica," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 11(1), pages 3-18.
    6. Badaoui, Eliane & Mangiavacchi, Lucia, 2022. "Assessing the impact of fostering on children’s outcomes in Niger," Economics & Human Biology, Elsevier, vol. 46(C).
    7. Rowthorn, Robert E. & Guzmán, Ricardo Andrés & Rodríguez-Sickert, Carlos, 2009. "Theories of the evolution of cooperative behaviour: A critical survey plus some new results," MPRA Paper 12574, University Library of Munich, Germany.
    8. 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.
    9. Ihara, Yasuo, 2008. "Spread of costly prestige-seeking behavior by social learning," Theoretical Population Biology, Elsevier, vol. 73(1), pages 148-157.
    10. Nakahashi, Wataru, 2013. "Evolution of improvement and cumulative culture," Theoretical Population Biology, Elsevier, vol. 83(C), pages 30-38.
    11. Chester Wai-Jen Liu & Sheng-Feng Shen & Wei-Chung Liu, 2021. "On the evolution of social ties as an instrumental tool for resource competition in resource patch networks," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-18, December.
    12. 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.
    13. Barnes, J.C., 2018. "A constructivist view of race in modern criminology," Journal of Criminal Justice, Elsevier, vol. 59(C), pages 81-86.
    14. 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.
    15. Paola Giuliano & Nathan Nunn, 2021. "Understanding Cultural Persistence and Change [Cultural Assimilation During the Age of Mass Migration]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 1541-1581.
    16. Dridi, Slimane & Lehmann, Laurent, 2014. "On learning dynamics underlying the evolution of learning rules," Theoretical Population Biology, Elsevier, vol. 91(C), pages 20-36.
    17. Bossan, Benjamin & Jann, Ole & Hammerstein, Peter, 2015. "The evolution of social learning and its economic consequences," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 266-288.
    18. Bryce Morsky & Fuwei Zhuang & Zuojun Zhou, 2023. "Social and individual learning in the Minority Game," Papers 2307.11846, arXiv.org, revised Mar 2024.
    19. 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.
    20. 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.

    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:74:y:2008:i:4:p:356-368. 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.