A TIME-DEPENDENT POISSON RANDOM FIELD MODEL FOR POLYMORPHISM WITHIN AND BETWEEN TWO RELATED BIOLOGICAL SPECIES

• 成果类型: Article
• 署名作者: Amei, Amei; Sawyer, Stanley
• 署名单位: Nevada System of Higher Education (NSHE); University of Nevada Las Vegas; Washington University (WUSTL)
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/09-AAP668
• 发表日期: 2010
• 页码: 1663-1696
• 关键词: adaptive protein evolution; amino-acid replacements; directional selection; population-genetics; divergence; mutations; likelihood; drosophila; inference

摘要

We derive a Poisson random field model for population site polymorphisms differences within and between two species that share a relatively recent common ancestor. The model can be either equilibrium or time inhomogeneous. We first consider a random field of Markov chains that describes the fate of a set of individual mutations. This field is approximated by a Poisson random field from which we can make inferences about the amounts of mutation and selection that have occurred in the history of observed aligned DNA sequences.