Convergence of One-Dimensional Diffusion Processes to a Jump Process Related to Population Genetics
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1990
- Accession Number
- ADA232121
Entities
People
- Masaru Iizuka
- Yukio Ogura
Organizations
- University of North Carolina at Chapel Hill