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普通群体的遗传机制Ⅲ.两对等位基因的遗传
许时伦1,2, 杨晓明3, 张新民2,4
1.西北农林科技大学 植保学院;2.河南驻马店农业学校;3.河南农业大学 园林学院;4.中国农业大学 经济管理学院
摘要:
在普通群体中建立了两对等位基因遗传的数学模型,讨论了基因型频率在世代间的动态变化、遗传趋势、群体平衡及其性质,以及随机交配率、基因频率与基因型频率的关系。结果表明,在普通群体两对等位基因的遗传中,非平衡群体的数学模型(4)可以转换为随机交配群体的数学模型和非平衡自交群体的数学模型;平衡群体的数学模型(7)可以转换为随机交配群体的数学模型和平衡自交群体的数学模型。在群体平衡时,当两对等位基因频率均相等时,杂合子频率达到极大值。杂合子频率随r增大而增加,当r=1时达到最大值;当r=0时达到最小值。
关键词:  普通群体  遗传机制  等位基因  基因型频率
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Genetic law in general populatilns Ⅲ.Genetic of two pairs of alleles
Abstract:
This article established the genetic mathematical model for two pairs of independent genes in a general population.The dynamic change,the trend of heredity,the population equilibrium and relevant characteristics of genotypic frequency among different generations were discussed.The relation among the rate of random mating,gene frequency and genotypic frequency was also discussed.The results show that in a general population's genetic for two pairs of alleles,the mathematics model of the disequilibrium population i.e.(4) can be transformed into the mathematics models of the random mating population and disequilibrium mating population;the mathematics model of the equilibrium population i.e.(7) can be transformed into the mathematics models of the random mating population and the equilibrium mating population.The frequency of the heterozygote is maximum when the frequencies of two pairs of alleles are equal.With the increase of r,the frequency of the heterozygote increases.When r=1,the frequency of the heterozygote reaches maximum;When r= 0,the frequency of the heterozygote reaches minimum.
Key words:  general population  genetic mechanism  allele  genotypic frequency