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Stochastic Processes in Physics and Engineering pp 345–355Cite as

Stepping Stone Models in Population Genetics and Population Dynamics

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 42))

Abstract

We summarize the results of two kinds of stepping stone models arising in population genetics and population dynamics. Although these two describe different phenomena they are closely related through a duality relation. We further attempt to generalize this framework as much as possible.

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References

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Tokyo Institute of Technology, Oh-okayama, Tokyo 152, Japan

    Tokuzo Shiga

Authors
  1. Tokuzo Shiga
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Ruhr-Universität Bochum, Postfach 10 21 48, 4630, Bochum, Germany

    Sergio Albeverio

  2. Fakultät für Physik, Universilät Bielefeld, Postfach 86 40, 4800, Bielefeld 1, Germany

    Philip Blanchard  & Ludwig Streit  & 

  3. Centrum voor Wiskunde en Informatica, Kruislaan 413, Postbus 4079, 1098 SJ, Amsterdam, The Netherlands

    Michiel Hazewinkel

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© 1988 D. Reidel Publishing Company

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Shiga, T. (1988). Stepping Stone Models in Population Genetics and Population Dynamics. In: Albeverio, S., Blanchard, P., Hazewinkel, M., Streit, L. (eds) Stochastic Processes in Physics and Engineering. Mathematics and Its Applications, vol 42. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2893-0_18

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  • DOI: https://doi.org/10.1007/978-94-009-2893-0_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7803-0

  • Online ISBN: 978-94-009-2893-0

  • eBook Packages: Springer Book Archive

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