An allele is one of the alternative inherited states at a genetic locus, often distinguished by a difference in DNA sequence. A population can contain many alleles, although a two-copy diploid individual carries at most two at that genetic locus, one inherited from each parent. See NHGRI: allele.
Count copies, not just individuals, when computing allele frequency: in 100 individuals with genotype counts , , , there are copies of among 200, so . The heterozygotes contribute to both allele counts. This converts observed genotypes into the population quantity needed by the Hardy-Weinberg principle.
The allele frequency is the proportion of gene copies at a specified genetic locus carrying an allele. Two unrelated copies can have the same observed allele without being identical by descent; under independent sampling their matching probability is the sum of squared allele frequencies. Pedigree autozygosity instead traces copies to the same ancestral copy.
An allele fixes when all copies at the relevant locus in the population are that allele. Fixation can occur through selection or genetic drift. Spatial polymorphism means that fixation within an individual habitat need not imply fixation across a metapopulation.
The probability that an allele eventually occupies every copy at the specified genetic locus under a population model. For a rare favorable variant in a suitable large-population, small-effect branching approximation, ; inheritance, reproduction and competition assumptions matter.

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