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http://dx.doi.org/10.11568/kjm.2021.29.1.75

ON THE GENOTYPE FREQUENCIES AND GENERATING FUNCTION FOR FREQUENCIES IN A DYPLOID MODEL  

Choi, Won (Department of Mathematics, Incheon National University)
Publication Information
Korean Journal of Mathematics / v.29, no.1, 2021 , pp. 75-80 More about this Journal
Abstract
For a locus with two alleles (IA and IB), the frequencies of the alleles are represented by $$p=f(I^A)={\frac{2N_{AA}+N_{AB}}{2N} },\;q=f(I^B)={\frac{2N_{BB}+N_{AB}}{2N}}$$ where NAA, NAB and NBB are the numbers of IA IA, IA IB and IB IB respectively and N is the total number of populations. The frequencies of the genotypes expected are calculated by using p2, 2pq and q2. So in this paper, we consider the method of whether some genotypes is in Hardy-Weinburg equilibrium. Also we calculate the probability generating function for the offspring number of genotype produced by a mating of the ith male and jth female under a diploid model of N population with N1 males and N2 females. Finally, we have conditional joint probability generating function of genotype frequencies.
Keywords
genotype frequencies; probability generating function; allele;
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  • Reference
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