D4.1.13 (HL)—Hardy-Weinberg equation

The Hardy-Weinberg equation predicts genotype frequencies from allele frequencies when a population is not evolving in evolving populations in evolving populations.

Syllabus
First assessment 2025
Objective
D4.1.13
Level
HL

Exam analysis

Chance of appearing7%of analysed past papers
Latest appearanceNovember 2025
Most common paperPaper3
Typical marks2–3

Common command terms

  • Outline
  • Discuss

Recent exam appearances

November 2025Paper1A ["HL"] · TZ338[ 1 ]D4.1.13 (HL)—Hardy-Weinberg equation
May 2025Paper2 ["HL"] · TZ29(b)[ 3 ]D4.1.13 (HL)—Hardy-Weinberg equation
May 2025Paper1B ["HL"] · TZ14(d)[ 3 ]D4.1.13 (HL)—Hardy-Weinberg equation
May 2015Paper3 ["HL"] · TZ23[ 6 ]D4.1.13 (HL)—Hardy-Weinberg equation
May 2014Paper3 ["HL"] · TZ12(b)(i)[ 2 ]D4.1.13 (HL)—Hardy-Weinberg equation
Practice this objective

Coverage 2012–2025 · Updated 16 Jul 2026

Hardy–Weinberg Relates Allele and Genotype Frequencies

HL only

For two alleles with frequencies p and q, the Hardy–Weinberg model predicts p², 2pq and q² genotype frequencies under specified assumptions.

The equation p+q=1 describes allele frequencies; p²+2pq+q²=1 follows random union of gametes. It provides a null expectation for detecting evolutionary forces.

State p and q; calculate expected genotypes; compare observed values with the model.; separate variation, selection, inheritance and time

If q=0.2, expected aa frequency is q²=0.04 and heterozygote frequency is 2pq=0.32. This gives a concrete prediction from the stated population.

The model is an expectation, not a claim that real populations never evolve. Interpret the result within the stated selection model and evidence limits.

Hardy-Weinberg equation

HL only

Assessment in practice

2–3 marks
How it is assessed

This objective is assessed through essay response, commonly using Outline / Discuss.

Command terms

Outline / Discuss

What earns marks

Build the answer around this relationship: p and q are allele frequencies that add to one.

Representative question

Question 1

[Maximum number: 3]

Discuss the use of the Hardy-Weinberg equation in population genetics studies.

Retrieve the HL Population Genetics Route

HL only

HL D4.1 turns selection into measurable population genetics. A gene pool changes when allele frequencies shift. Hardy-Weinberg gives a no-evolution baseline; selection graphs, isolated populations, artificial selection, and resistance show how forces move populations away from that baseline.

  • all alleles in an interbreeding population
  • directional, stabilizing, or disruptive selection favours different phenotype ranges
  • p and q calculate allele and genotype frequencies in equilibrium
  • selection, mutation, migration, drift, or non-random mating may be acting

HL Population Genetics

HL only

HL population-genetics questions ask students to quantify or model evolution. The answer starts with the gene pool and allele frequencies, then uses the model or selection graph to decide whether the population is at equilibrium or being shifted by selection, mutation, migration, drift, artificial selection, or isolation.

  • Use gene pool and allele frequency language to define evolution quantitatively.
  • Interpret selection graphs and isolated populations as changes in phenotype or allele frequencies.
  • Apply Hardy-Weinberg equations and equilibrium assumptions, then explain what deviations mean.

Concept essentials

  • p and q are allele frequencies that add to one.
  • p squared, two pq and q squared are expected genotype frequencies.
  • Hardy-Weinberg calculations depend on equilibrium assumptions.