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Evolution of learning in subdivided populations that occupy environmentally heterogeneous sites

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  • 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.

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  • 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
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    References listed on IDEAS

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    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.
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    Cited by:

    1. Vaios Koliofotis, 2022. "Sexual selection of conspicuous consumption," Journal of Evolutionary Economics, Springer, vol. 32(2), pages 531-552, April.
    2. Nakahashi, Wataru, 2013. "Evolution of improvement and cumulative culture," Theoretical Population Biology, Elsevier, vol. 83(C), pages 30-38.
    3. 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.
    4. Aoki, Kenichi, 2015. "Modeling abrupt cultural regime shifts during the Palaeolithic and Stone Age," Theoretical Population Biology, Elsevier, vol. 100(C), pages 6-12.
    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. Kobayashi, Yutaka & Aoki, Kenichi, 2012. "Innovativeness, population size and cumulative cultural evolution," Theoretical Population Biology, Elsevier, vol. 82(1), pages 38-47.
    7. Nakahashi, Wataru, 2010. "Evolution of learning capacities and learning levels," Theoretical Population Biology, Elsevier, vol. 78(3), pages 211-224.
    8. 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.
    9. 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.
    10. 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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