Stepping Stone Models in Population Genetics and Population Dynamics

  • Tokuzo Shiga
Part of the Mathematics and Its Applications book series (MAIA, volume 42)


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.


Stochastic Differential Equation Ergodic Theorem Markov Chain Model Continuous Time Markov Chain Interact Particle System 
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Copyright information

© D. Reidel Publishing Company 1988

Authors and Affiliations

  • Tokuzo Shiga
    • 1
  1. 1.Department of Applied PhysicsTokyo Institute of TechnologyOh-okayama, Tokyo 152Japan

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