7.4

Hardy-Weinberg Equilibrium

Null model for a non-evolving population.

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Hardy-Weinberg equilibrium equations, graph, and five conditions

The null model

Hardy-Weinberg describes what would happen if a population WEREN'T evolving. It gives us a baseline so we can detect evolution by spotting deviations. Allele frequencies (p, q) and genotype frequencies (p², 2pq, q²) stay constant generation after generation IF the five assumptions hold.

Hardy-Weinberg equilibrium equations, graph, and five conditions

The five assumptions

  • No mutation (allele pool isn't gaining new variants).
  • Random mating (no choosing partners based on phenotype).
  • No natural selection (all genotypes equally fit).
  • Very large population (no genetic drift).
  • No gene flow (no migration in or out).

The equations

Allele frequencies: p + q = 1, where p = frequency of dominant allele, q = frequency of recessive allele. Genotype frequencies: p² + 2pq + q² = 1, where p² = homozygous dominant, 2pq = heterozygous, q² = homozygous recessive.

Test trick
Start with q² (recessive phenotype is the easiest to count). Take the square root to get q, then p = 1 – q. Now you can find every other frequency.

Detecting evolution

Calculate the expected genotype frequencies from p and q. If observed frequencies in the next generation differ significantly, at least one assumption is being violated — evolution is occurring. The job is then to figure out which mechanism (selection, drift, gene flow, etc.) is responsible.

Key terms

Quick definitions to lock in before the exam.

Allele frequency
Proportion of a specific allele in a population.