Stochastic analysis on models of population genetics

2016 Fiscal Year Final Research Report

• Project/Area Number: 25400143
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Fukuoka Women's University (2016); Kyushu Dental College (2013-2015)
• Principal Investigator: IIZUKA MASARU 福岡女子大学, 国際文理学部, 学術研究員 (20202830)
• Project Period (FY): 2013-04-01 – 2017-03-31
• Keywords: 集団遺伝学 / 分子進化 / 確率モデル / 確率過程 / マルコフ過程 / 出生死滅過程 / 拡散過程

Outline of Final Research Achievements

Various models of population genetics were studied by means of stochastic analysis. First, the properties and the relation of two stochastic models (Wright-Fisher model and Moran model) in random environments due to stochastic selection were revealed. Next, some properties of the multi-dimensional models of compensatory fitness interaction with indirect compensation or gene duplication were formulated and their properties on the first hitting time to some boundary point were studied. Further, some limit theorems were obtained for the strong selection and weak mutation limit of Moran model.

Free Research Field

集団遺伝学の確率論的研究