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The coalescent in population models with time-inhomogeneous environment

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  • Möhle, M.

Abstract

The coalescent theory, well developed for the class of exchangeable population models with time-homogeneous reproduction law, is extended to a class of population models with time-inhomogeneous environment, where the population size is allowed to vary deterministically with time and where the distribution of the family sizes is allowed to change from generation to generation. A new class of time-inhomogeneous coalescent limit processes with simultaneous multiple mergers arises. Its distribution can be characterized in terms of product integrals.

Suggested Citation

  • Möhle, M., 2002. "The coalescent in population models with time-inhomogeneous environment," Stochastic Processes and their Applications, Elsevier, vol. 97(2), pages 199-227, February.
    • Handle: RePEc:eee:spapps:v:97:y:2002:i:2:p:199-227
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