表型同型交配群体的Shannon信息熵和互信息

应用信息论方法研究了在表型同型交配下一对等位基因群体的基因型信息熵和互信息。在表型同型交配下,从随机交配下的平衡状态开始,群体的基因型信息熵逐代减少,但这种减少的趋势越来越慢,最终趋向于零。随着基因型信息熵的减少,群体的遗传多样性程度也越来越小。在表型同型交配下,群体的配子间互信息逐代增加,但这种减少的趋势越来越慢,最终趋向于零。配子间互信息的增加说明,配子间的信息交流程度逐代增加,两性配子间的信息关联程度越来越密切,而这用表型信息关联系数反映会更好。最后应用Matlab软件进行了数学模拟,直观验证了所得的结论。

The Entropy of a Pair Alleles Population in Mating of Homologous Phenotypes

This paper studies genotypes entropy and gametes'' mutual information of a pair alleles population in mating of homologous phenotypes. In mating of homologous phenotypes, the genotypes entropy of a pair alleles population is monotonically decreasing by generation number from the beginning of equilibrium of random mating. The decrease of genotypes entropy becomes slower and slower, and finally tends to zero. With the decrease of genotype entropy, the genetic diversity degree of population also decreases. In mating of homologous phenotypes, the gametes'' mutual information of a pair alleles population is monotonically increasing by generation number from the beginning of equilibrium random mating. The increase of mutual information becomes slower and slower, finally tends to zero. The increase of gametes'' mutual information shows that passed information between gametes becomes more and more, and that the fact is better reflected by information coefficient of mating of homologous phenotypes. At last, the conclusions are tested by computer imitation.