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Influence of the Interaction for Fitness on the Population Structure
Author(s) -
Bartoloni Norberto
Publication year - 1994
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710360217
Subject(s) - population , mathematics , statistical physics , exponential function , statistics , physics , mathematical analysis , demography , sociology
The incidence of non‐allelic interaction for fitness in a diallelic digenic model is analyzed. Three types of interaction between the fitnesses are considered, namely: i) additive, ii) exponential and, iii) logarithmic. The model of MATHER and JINKS (1970) is applied in the computation of the interaction parameters. The theory of finite absorbing Markov chains (FELLER, 1968) is utilized in the representation of the genotypic structure of the selfing population over time. Expressions depending on the parameters of interaction are obtained for the mean number of generations that the process of genetic information flow delays in transitions among transient states. Also, a numerical example is studied in which the mean absorption times and the variances are calculated. Finally, the impact of fitness interaction on the genetic diversity of some populations is analyzed through the calculation of the genetic information neg‐entropy (BRILLOUIN, 1959).