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. (JES)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1990
- Accession Number
- ADA225871
Entities
People
- M. Iizuka
- Y. Ogura
Organizations
- University of North Carolina at Chapel Hill