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Question
What does the following equation represent? Explain:
p2 + 2pq + q2 = 1.
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Solution
The given equation represents the gene frequency of the total population according to Hardy–Weinberg law. In this equation, suppose a gene has two alleles A and a, and p is the frequency of occurrence of dominant allele A and q is the frequency of occurrence of recessive allele a in the parental generation.
Then according to the equation,
p2 + 2pq + q2 = 1
where p2 = frequency of occurrence of individuals with homozygous dominant alleles (AA)
2pq = frequency of occurrence of heterozygous individuals (Aa)
q2 = frequency of occurrence of individuals with homozygous recessive alleles (aa)
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