普通群体基因频率逐代演变的一个不变量与平衡区域  

An Invariant and the Equilibrium Region Successive Generation's Evolution of the General Population's Gene Frequency

作　　者：覃俊达[1] 陈奇[1] 李大林[1] 

机构地区：[1]柳州职业技术学院,柳州545006

出　　处：《基因组学与应用生物学》2013年第4期428-431,共4页Genomics and Applied Biology

基　　金：广西教育厅科研项目(200807MS065);广西高校优秀人才资助计划项目"群体遗传中的数学建模"共同资助

摘　　要：建立普通群体基因型频率逐代演变规律的数学模型,发现在各代中RR与rr的频率的差为不变量,它与平衡状态的Rr的频率一一对应。在育种工作中这个不变量是可观测的,作物选种即是人为改变群体基因频率,因此它有一定的参考意义。获得由第一代基因型频率计算平衡状态基因型频率的公式,推导出平衡状态基因型频率与异交率的换算方法。Building a mathematic model to study the evolution law of the population gene frequency in general population,we found the result the frequency difference between RR and rr of all generations is a invariant which has a one-to-one correlation with the frequency of Rr at equilibrium. On the basis of the theory that selection breed- ing refers that population gene frequency is changed by artifical intervention, the findings is of great significance for the invariant can be observed in seed breeding. Meanwhile, the formula for caculating the equilibrium gene frequen- cy in the light of the genotype frequency of the first generation can be derived and as a result, the conversion method from the equilibriant gene frequency to percentage of cross pollination, and vice versa, will be deducted.

关 键 词：群体遗传 自花传粉 普通群体 基因 非线性离散系统 

分 类 号：Q943[生物学—植物学]