表型同型交配群体的Shannon信息熵和互信息  

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

作　　者：张宏礼 郭满才[3] 王丽波[3] 刘璐[3] 袁志发[3] 

机构地区：[1]黑龙江八一农垦大学文理学院 [2]西北农林科技大学生命科学学院,陕西杨陵712100 [3]西北农林科技大学生命科学学院

出　　处：《中国农学通报》2005年第3期112-115,共4页Chinese Agricultural Science Bulletin

基　　金：西北农林科技大学重点科技基金项目(0808)"自然群体中基因变异指标体系与基因序列分析的研究"。

摘　　要：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。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.

关 键 词：表型 配子 互信息 增加 等位基因 群体 程度 基因型信息熵 交配 Shannon信息熵 

分 类 号：S562[农业科学—作物学] Q347[生物学—遗传学]