The coalescent in population models with time-inhomogeneous environment

M. Möhle

Stochastic Processes and their Applications, 2002, vol. 97, issue 2, 199-227

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.

Keywords: Ancestors; Coalescent; Diffusion; approximation; Population; genetics; Product; integral; Stirling; numbers; Varying; environment; Weak; convergence (search for similar items in EconPapers)
Date: 2002
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