作者mangogogo ()
看板NCTU-STAT95G
标题演讲
时间Tue May 22 17:13:34 2007
清华大学、交通大学
统 计 学 研 究 所
专 题 演 讲
题 目: Alternative Transition Equations of Genotypic Frequencies under
Random Mating
主讲人: 高振宏博士 (中央研究院 统计科学研究所)
时 间: 96年5月25日(星期五)10:40 - 11:30
(上午10:20-10:40茶会於统计所821室举行)
地 点: 清大综合三馆837室
Abstract
After Mendel's garden pea experiment in 1886, the characterization of genotypic
distribution of a population from generation to generation under random mating
has been a historically important and interesting issue in statistical genetics.
Under random mating, Hardy and Weinberg (1908) demonstrated that the allelic
frequencies and genotypic frequencies for one gene are constant in the absence
of disturbing forces. Jennings (1917) and Robbins (1918) formulated the
transition equations of gametic frequencies to characterize the genotypic
frequencies for two genes. Geiringer (1944) extended their works by proposing
transition equations of gametic frequencies for multiple genes to complete
the issue of characterizing the genotypic distribution under random mating.
These transition equations have been well documented in the books by Falconer
(1960, 1981, 1989), Wright (1968), Crow and Kimura (1970), Falconer and
Mackay (1996) and Weir (1996), and widely applied to the general genetic and
biological studies. We propose alternative transition equations of gametic
frequencies for multiple genes. We found that the proposed and Geiringer’s
transition equations are theoretically identical, but may have different
behavior in practice. The proposed and Geiringer’s transition equations are
compared genetically and numerically. This talk is based on the joint work
with Miao-Hui Zeng.
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