Position: Home > Articles > The associated distribution and genotype Shannon entropy between a female genotype and its descendant genotypes in mating of the whole homologous phenotypes
Journal of Northwest A & F University(Natural Science Edition)
2010,38
(4)
201-206
完全表型同型交配群体母子间基因型的联合分布及信息熵
作 者：
何东;袁玉萍;代冬岩
单 位：
黑龙江八一农垦大学文理学院
关键词：
表型同型;联合分布;Shannon信息熵;基因型
摘 要：
【目的】研究完全表型同型交配群体母子间基因型的联合分布及其信息学性质,以丰富群体遗传学的研究方法。【方法】从随机交配下的Hardy-Weinberg平衡开始,施以完全表型同型交配的群体,利用概率统计方法推导母子间基因型联合分布的规律,利用Shannon信息熵方法研究母子间基因型联合信息熵的变化规律,并进行数学模拟。【结果】在世代交替中,母子间基因型联合信息熵逐代减少,但逐代减少的趋势越来越慢,经过一个非常漫长的过程后,母子间基因型联合信息熵趋向于固定值,最终极限情况是群体完全纯合。这是一个远离Hardy-Weinberg平衡状态、趋向于非平衡定态的过程,数学模拟验证了所得结论的正确性。【结论】在完全表型同型交配下,母子间基因型联合信息熵逐代减少,使纯合体逐渐增加、杂合体逐渐减少,群体从多型共存走向纯合。
译 名：
The associated distribution and genotype Shannon entropy between a female genotype and its descendant genotypes in mating of the whole homologous phenotypes
作 者：
HE Dong,YUAN Yu-ping,DAI Dong-yan(Mathematics Department,Heilongjiang Bayi Agricultural University,Daqing,Heilongjiang 163319,China)
关键词：
homologous phenotype;associated distribution;Shannon entropy;genotype
摘 要：
【Objective】 The associated probability distribution and information laws between a female genotype and its descendant genotypes were discussed,so that study methods of population genetics could be broadened.【Method】 By theory of probability,the aforesaid associated probability distribution was deduced on a population forced a mating of the whole homologous phenotypes;and by method of Shannon entropy,the laws of associated genotypes Shannon entropy on the population were obtained.【Result】 The associated genotypes Shannon entropy of the population reduced with alternation of generations,but the tendency became slow so that the associated genotypes Shannon entropy of the population can be prone to a definite value,and the population would become as homozygote,then reached gradually a non-equilibrium steady state,far from Hardy-Weinberg equilibrium state,and the mathematical simulation results illustrated the correctness of the obtained conclusions.【Conclusion】 In a mating of whole homologous phenotypes,the associated genotypes Shannon entropy of the population reduced with alternation of generations,more populaion appered and developed into homozygous.
相似文章
-
部分表型交配群体的信息熵 [张宏礼, 郭英, 阎善文, 刘振忠, 张鸿雁, 于晓秋] 黑龙江八一农垦大学学报 2011,23 (1) 95-97+103
