Hardy-Weinberg Law

Theorem

Let $A$ and $a$ be alleles.

Let $A$ and $a$ occur in a population in proportions $p$ and $q = 1 - p$.

Then after one generation of random mating, the genotypes $AA$, $Aa$ and $aa$ are in proportions $p^2$, $2 p q$ and $q^2$.


Proof


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Also known as

The is also known as the Hardy-Weinberg Principle.


Also see

  • Definition:Hardy-Weinberg Equilibrium


Source of Name

This entry was named for Godfrey Harold Hardy and Wilhelm Weinberg.


Historical Note

The was deduced by Godfrey Harold Hardy and Wilhelm Weinberg in $1908$.


Sources

  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Hardy-Weinberg law
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