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Title: | 族群達到哈溫比例及芮特比例的交配系統之整合性研究 A Comprehensive Study of Mating Systems of a Population Attaining Hardy-Weinberg Proportions and Wright Proportions |
Authors: | 黃崑明 Huang, Kuen-Ming |
Contributors: | 戴政 John Jen Tai 黃崑明 Kuen-Ming Huang |
Keywords: | 交配系統 哈溫比例 芮特比例 mating systems Hardy-Weinberg proportions Wright proportions |
Date: | 1998 |
Issue Date: | 2016-04-21 09:55:02 (UTC+8) |
Abstract: | 在族群遺傳學中已知有許多因子影響基因型與對偶基因頻率,族群的交配方式即為其中之一。例如,哈溫平衡定律即指族群進行隨機交配,而芮特平衡定律所描述之自交系理論指的是族群進行了某種特定型式的非隨機交配。本文將以往討論過或未討論過之族群基因型頻率會達到哈溫比例及芮特比例的交配系統做一整合性研究。族群基因型頻率會達到哈溫比例或芮特比例之交配系統的整體架構將根據交配群體中雙親二子群體的交配行為、基因型頻率是否在哈溫比例及是否相同、對偶基因頻率是否相同來建立。整體架構中的每一構造點所對應的交配系統將被找出或證明不存在,若存在則會進一步討論其特性。 In population genetics it is known that there are many factors that may affect the genotypic and gene distributions of a population. The type of mating of a population is one of them. For examples, basically Hardy-Weinberg equilibrium law refers to a population undergoing random mating, and Wright`s equilibrium law in inbreeding refers to a special type of nonrandom mating. This study performs a comprehensive investigation of all possible matings that can attain Hardy-Weinberg proportions or Wright proportions that had been or not had been discussed previously. The framework of mating systems attaining the Hardy-Weinberg proportions or Wright proportions will be established on the basis of pooling together factors such as the mating behavior, gene frequencies, genotypic frequencies and the Hardy-Weinberg proportions of the male and female subpopulations. The type and property of each mating system corresponding to each point of the established mating system framework are examined. |
Reference: | Falconer, D. S., (1989) Introduction to Quantitative Genetics. 3rd Edition, John Wiley & Sons, Inc., New York. Haldane, J. B. S., and Moshinsky, P. (1939) "Inbreeding in Medelian populations with special reference to human cousin marriage. Ann. Eugen. 9, 321-340. Hardy, G. H. (1908) "Mendelian proportions in a mixed population." Science, 28, 49-50. Li, C. C. and Sacks, L. (1954) "The derivation of joint distribution and correlation between relatives by the use of stochastic matrices." Biometrics, 10, 347-360. Li, C. C. (1988a) First Course in Population Genetics. Boxwood Press, Pacific Grove, California. Li, C. C. (1988b) "Pseudo-Random Mating Population. In Celebration of the 80th Anniversary of the Hardy-Weinberg Law." Genetics, 119, 731-737. Li, C. C. and Weeks D. E. and Chakravarti A. (1992) "Similarity of DNA fingerprints due to chance and relatedness. Human Heredity, 43, 45-52. Malecot, G. (1948) Les Mathematiques de l`beredite. Paris: Masson et Cie (translated by D.M. Yermanos, 1969, San Francisco: Freeman). Tai, J. J. (1990a) "On Nonrandom Mating Systems for Attaining Hardy-Weinberg Equilibrium." Biometrical Journal, 32, 1005-1014. Tai, J. J. (1990b) "Pseudo-random Mating Systems for 3-allele Loci." Proc. Nat. Sci. Coun. B R.O.C., 14, 122-130. Tai, J. J. and Liu J. (1996) "A Two-Stage Test for Distinguishing Random, Psudo-Random and Nonrandom Mating Population." Biometrical Journal, 38, 717-724. Weinberg, W. (1908) "Uber den Nachweis der Verebung beim Menschen. Jahresh. Verein f. vaterl." Naturk. In Wruttemberg 64, 368-382. Wright, S. (1921) "Systems of mating, I-V." Genetics 6, 111-178. Wright, S. (1922) "Coefficients of inbreeding and relationship." Amer. Natur. 56, 330-338. |
Description: | 博士 國立政治大學 統計學系 81354502 |
Source URI: | http://thesis.lib.nccu.edu.tw/record/#B2002001560 |
Data Type: | thesis |
Appears in Collections: | [統計學系] 學位論文
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