Accession Number : ADA225871

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) : Iizuka, M. ; Ogura, Y.

Report Date : JUN 1990

Pagination or Media Count : 34

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. (JES)

Descriptors :   *GENETICS, CONVERGENCE, DIFFUSION, LIMITATIONS, LOW STRENGTH, MARKOV PROCESSES, MATHEMATICAL MODELS, MODELS, MUTATIONS, ONE DIMENSIONAL, POPULATION, SELECTION.

Subject Categories : Genetic Engineering and Molecular Biology

Distribution Statement : APPROVED FOR PUBLIC RELEASE