双倍体有限种群中的Wright-Fisher过程进化动力学固定概率(英文)  

Fixation Probabilities in Evolutionary Dynamics with a Wright-Fisher Process in Finite Diploid Populations

作　　者：陈江华[1] 刘贤宁[1,2] 

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]三峡库区生态环境教育部重点实验室,重庆400715

出　　处：《西南大学学报（自然科学版）》2011年第9期40-49,共10页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10971168);教育部科学技术研究重点项目(109132)

摘　　要：将有限种群进化动力学的1/3定理推广到双倍体有限种群,并用Wright-Fisher过程描述.研究了这个种群的一个突变基因的固定概率,并且得到了3个进化定理:完全隐性突变基因的3/10定理、完全显性突变基因的2/5定理和4/5定理.最后,通过研究基本的随机过程解释了3/10定理.The＂one-third law＂on evolutionary dynamics in finite populations is extended to a finite diploid population,which is described by the Wright-Fisher process.The fixation probability of a mutant allele in this diploid population is investigated,and three laws of evolution are obtained,i.e.a＂three-tenth law＂for a completely recessivemutant allele,a＂two-fifth law＂for a completely dominant mutant allele and a＂four-fifth law＂.Finally,the＂threetenth law＂is explained by studying the underlying stochastic process.

关 键 词：进化对策论 有限种群 Wright-Fisher过程 固定概率 

分 类 号：O211[理学—概率论与数理统计]