Accession Number:

ADA232121

Title:

Convergence of One-Dimensional Diffusion Processes to a Jump Process Related to Population Genetics

Descriptive Note:

Technical rept.

Corporate Author:

NORTH CAROLINA UNIV AT CHAPEL HILL CENTER FOR STOCHASTIC PROCESSES

Personal Author(s):

Report Date:

1990-06-01

Pagination or Media Count:

34.0

Abstract:

A conjecture on the convergence of diffusion models in population genetics to a simple Markov chain model is proved. The notion of bi-generalized diffusion processes and their limit theorems are used systematically to prove the conjecture. Three limits strong selection--weak mutation limit, moderate selection--weak mutation limit, weak selection--weak mutation limit are considered for typical diffusion models in population genetics.

Subject Categories:

  • Biology

Distribution Statement:

APPROVED FOR PUBLIC RELEASE