Verify Hardy-Weinberg Law arithmetically.
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Recurrent mutation will maintain alleles in the population, even if there is strong selection against them. Migration genetically links two or more populations together. In general, allele frequencies will become more homogeneous among the populations.
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Hey dear,
● Hardy-Weinberg principle -
- The Hardy-Weinberg principle states that a population's allele and genotype frequencies will remain constant in the absence of evolutionary mechanisms.
- Mathematically,
p^2 + 2pq + q^2 = 1
● Arithmetic proof -
Let's consider two parents with genotype Aa reproduce.
In the offsprings,
p^2 = AA = 0.25
pq = Aa = 0.50
q^2 = aa = 0.25
Taking LHS,
LHS = p^2 + 2pq + q^2
LHS = 0.25 + 2×0.25 + 0.25
LHS = 1
LHS = RHS
Hence, proved.
● Hardy-Weinberg principle -
- The Hardy-Weinberg principle states that a population's allele and genotype frequencies will remain constant in the absence of evolutionary mechanisms.
- Mathematically,
p^2 + 2pq + q^2 = 1
● Arithmetic proof -
Let's consider two parents with genotype Aa reproduce.
In the offsprings,
p^2 = AA = 0.25
pq = Aa = 0.50
q^2 = aa = 0.25
Taking LHS,
LHS = p^2 + 2pq + q^2
LHS = 0.25 + 2×0.25 + 0.25
LHS = 1
LHS = RHS
Hence, proved.
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