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Equations · Chemistry and biology

Hardy–Weinberg equilibrium

Genotype frequencies in a population that is not evolving, from the frequencies of two alleles.

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p² + 2pq + q² = 1

Aethel says

p squared plus 2 p q plus q squared equals 1

What it says

If two versions of a gene have frequencies p and q, with p plus q equal to one, then under random mating the two kinds of homozygote occur with frequencies p squared and q squared and heterozygotes with 2pq.

Departures from these frequencies hint at selection, migration, mutation, drift or non-random mating.

Symbol by symbol

SymbolSay itMeans
ppthe frequency of one allele
qqthe frequency of the other allele
2pq2 p qthe frequency of heterozygotes

Where you meet it

Genetics and evolutionary biology.

Questions

How do you say Hardy–Weinberg equilibrium out loud?

p² + 2pq + q² = 1 is read: “p squared plus 2 p q plus q squared equals 1.” That is exactly what Aethel says when it meets the formula in a book.

What does p mean in Hardy–Weinberg equilibrium?

p (said “p”) is the frequency of one allele.

What does q mean in Hardy–Weinberg equilibrium?

q (said “q”) is the frequency of the other allele.

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