2 research outputs found
Statistical Model Derivation and Extension of Hardy β Weinberg Equilibrium
The Hardy-Weinberg equilibrium law states that when a population is in equilibrium, the
genotypic frequencies will be in the proportion p2
: 2pq: q2
. In a large random mating
hypothetical population where the frequencies of alleles A1 and A2 are respectively is p
and q, each genotype passes on both alleles with equal frequency over generations in the
absence of evolutionary forces (Mutation, migration, and selection). In this paper, the
Hardy-Weinberg equilibrium law is derived and extended to the third generation, and the
corresponding proportion of frequencies is derived with all mating patterns. The mating
frequency matrix is also given. Further, the law is generalized for multiple alleles and
generations using binomial expansio
Statistical Model Derivation and Extension of Hardy-Weinberg Equilibrium
The Hardy-Weinberg equilibrium law states that when a population is in equilibrium, the
genotypic frequencies will be in the proportion p2
: 2pq: q2
. In a large random mating
hypothetical population where the frequencies of alleles A1 and A2 are respectively is p
and q, each genotype passes on both alleles with equal frequency over generations in the
absence of evolutionary forces (Mutation, migration, and selection). In this paper, the
Hardy-Weinberg equilibrium law is derived and extended to the third generation, and the
corresponding proportion of frequencies is derived with all mating patterns. The mating
frequency matrix is also given. Further, the law is generalized for multiple alleles and
generations using binomial expansion