[Laws of the change in genotype entropy from F1 to Fn for pairs of independent genes of the selfing population].
This paper constructs a mathematic model for the change in each generation's genotype entropy of the selfing population with independent heterogenes, and describes a ternary tree algorithm to compute the proportion of every genotype. It reveals a linear relationship between the population genotype entropy and the pairs of independent heterogenes m, and a nonlinear relationship between the population genotype entropy and the ordinal number n of a selfing generation. As n is fixed, the population genotype entropy with m pairs of independent heterogenes is m times as many as that with only one pair. As the pairs of the independent heterogenes m is fixed, the population genotype entropy increases generation after generation from F1 to F3, reaching the maximum value at F3, and decreases generation after generation from F3, reaching equilibrium finally at the generation whose genotype entropy is minimum. In this paper, the significance of crossbreeding is also discussed.
Li
Da-Lin
DL
Liuzhou Vocational & Technical College, Liuzhou 545006, China. ldlin668@163.com
Chen
Qi
Q
Wei
Wen-Hui
WH
Huang
Yi
Y
D000818:Animals; D003433:Crosses, Genetic; D019277:Entropy; D005260:Female; D005828:Genetics, Population; D005838:Genotype; D015810:Linkage Disequilibrium; D008297:Male; D008957:Models, Genetic