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The frequencies of genotypes and of alleles have a relationship. When the allele frequencies are known, the genotype frequencies can be calculated. This relationship is known in population genetics as the law of Hardy and Weinberg. This law is valid in a population, stable (e.g. no migration) over generations. In such a stable population the Hardy and Weinberg equilibrium is at stake.

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Urgent

Definition

Hardy and Weinberg equilibrium implies that in large populations with random mating among parents, and in the absence of selection, migration, mutation and random drift, the genotype and allele frequencies are constant (do not change from generation to generation) and the genotype frequencies can be calculated from the allele frequencies

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Table 1: The frequencies of alleles and genotypes when animals are mated in a population in Hardy and Weinberg equilibrium 

Oocyte

Sperm cell

Allele

Z

Frequency

p

Allele

z

Frequency

q

Allele

Z

ZZ

 

Zz

Frequency

P


P2


pq

Allele

z

Zz


zz


Frequency

p


pq


q2

 

 Allele and genotype frequencies in a population determine the proportion of animals with different phenotypes for monogenic traits. The effect of selection for desired monogenic traits or against undesired monogenic traits depends partly of the underlying allele frequencies. That is the reason to pay attention to allele and genotype frequencies here.

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