Title :
The mutual information between a female genotypes and its descendant genotypes in mating of whole homologous phenotypes
Author :
Zhang, Hongyan ; Zhou, Xiaojing ; He, Dong ; Dai, Dongyan ; Zhang, Hongli
Author_Institution :
Coll. of Life Sci. & Technol., Heilongjiang Bayi Agric. Univ., Daqing, China
Abstract :
The paper studied some questions about a population that was always forced a mating of whole homologous phenotypes at the beginning of a Hardy-Weinberg equilibrium state. The joint probability distribution between a female genotypes and its descendant genotypes was deduced on the population; its descendant genotypic conditional entropy gradually reduced when a female genotypes could be known; the mutual information between a female genotypes and its descendant genotypes would gradually reduce after enough generations and tend to be a definite vaule-plnp-qlnq, and the population could reach a non-equilibrium steady state out of Hardy-Weinberg equilibrium state. The mathematical simulation results illustrated the correctness of the obtained conclusions.
Keywords :
demography; entropy; statistical distributions; Hardy-Weinberg equilibrium state; female genotypes; genotypic conditional entropy; homologous phenotypes; mutual information; population; probability distribution; Educational institutions; Frequency; Game theory; Genetic communication; Information entropy; Information theory; Mutual information; Paper technology; Probability distribution; Steady-state; Conditional entropy; Homologous phenotypes; Mutual information;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498345