7.2.2

Hardy-Weinberg Principle

Test yourself

Using the Hardy-Weinberg Principle

The Hardy-Weinberg principle is used to predict allele frequencies in a population. The principle is a mathematical model.

Illustrative background for PredictionsIllustrative background for Predictions ?? "content

Predictions

  • The Hardy-Weinberg principle predicts that allele frequencies will not change from generation to generation.
  • The allele frequencies do not change because a population’s allele and genotype frequencies are inherently stable.
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Assumptions

  • The Hardy-Weinberg principle only works if you make some assumptions about the population you are studying.
  • The assumptions are:
    • No mutations, migration or emigration.
    • No selective pressure for or against a specific genotype.
    • Population size is infinite.
  • In real populations, these assumptions are not normally met but making assumptions is still useful because it provides a model we can compare to real population changes.

The Hardy-Weinberg Equation

The Hardy-Weinberg equation is: p2 + 2pq + q2 = 1. The equation is used to predict the frequency of alleles, genotypes and phenotypes in a population.

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p + q = 1

  • For every gene, there are two alleles present in an individual (except some genes on the X chromosome).
  • If you know the frequency of one of these alleles, the equation p + q = 1 can be used to calculate the frequency of the other allele.
    • p = frequency of one allele.
    • q = frequency of other allele.
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p2 + 2pq + q2 = 1

  • The Hardy-Weinberg is equation: p2 + 2pq + q2 = 1
    • p2 = pp = homozygous dominant.
    • q2 = qq = homozygous recessive.
    • 2pq = heterozygous.
  • The components of the equation allows us to calculate the number of individuals in a population that have each genotype.
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Predicting genotypes

  • By observing the phenotypes in a population, you can identify how many individuals carry the homozygous recessive allele genotype (q2).
    • Only individuals who are homozygous recessive show the recessive phenotype.
    • Individuals with the dominant phenotype could be homozygous dominant or heterozygous.
  • This number can be used in the Hardy-Weinberg equation to allow the frequencies other two genotypes to be estimated.
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Pea plants

  • Pea plants can have yellow peas (pp or pq) or green peas (qq).
  • If 0.25 of the population have green peas then q2 = 0.25.
    • If q2 = 0.25, then q = 0.5.
    • Using p + q = 1, p + 0.5 = 1, p = 0.5.
    • 2pq = 0.50.
    • p2 = 0.25.
    • p = 0.5.

Jump to other topics

1Biological Molecules

1.1Monomers & Polymers

1.1.1Monomers & Polymers

1.1.2Condensation & Hydrolysis Reactions

1.2Carbohydrates

1.2.1Structure of Carbohydrates

1.2.2Types of Polysaccharides

1.2.3End of Topic Test - Monomers, Polymers and Carbs

1.2.4Exam-Style Question - Carbohydrates

1.2.5A-A* (AO3/4) - Carbohydrates

1.3Lipids

1.3.1Triglycerides & Phospholipids

1.3.2Types of Fatty Acids

1.3.3Testing for Lipids

1.3.4Exam-Style Question - Fats

1.3.5A-A* (AO3/4) - Lipids

1.4Proteins

1.4.1The Peptide Chain

1.4.2Investigating Proteins

1.4.3Primary & Secondary Protein Structure

1.4.4Tertiary & Quaternary Protein Structure

1.4.5Enzymes

1.4.6Factors Affecting Enzyme Activity

1.4.7Enzyme-Controlled Reactions

1.4.8End of Topic Test - Lipids & Proteins

1.4.9A-A* (AO3/4) - Enzymes

1.4.10A-A* (AO3/4) - Proteins

1.5Nucleic Acids

1.5.1DNA & RNA

1.5.2Nucleotides

1.5.3Polynucleotides

1.5.4DNA Replication

1.5.5Exam-Style Question - Nucleic Acids

1.5.6A-A* (AO3/4) - Nucleic Acids

1.6ATP

1.6.1Structure of ATP

1.6.2Hydrolysis of ATP

1.6.3Resynthesis of ATP

1.6.4End of Topic Test - Nucleic Acids & ATP

1.7Water

1.7.1Importance of Water

1.7.2Structure of Water

1.7.3Properties of Water

1.7.4A-A* (AO3/4) - Water

1.8Inorganic Ions

1.8.1Inorganic Ions

1.8.2End of Topic Test - Water & Inorganic Ions

2Cells

2.1Cell Structure

2.1.1Introduction to Cells

2.1.2Eukaryotic Cells & Organelles

2.1.3Eukaryotic Cells & Organelles 2

2.1.4Prokaryotes

2.1.5A-A* (AO3/4) - Organelles

2.1.6Methods of Studying Cells

2.1.7Microscopes

2.1.8End of Topic Test - Cell Structure

2.1.9Exam-Style Question - Cells

2.1.10A-A* (AO3/4) - Cells

2.2Mitosis & Cancer

2.2.1Mitosis

2.2.2Stages of Mitosis

2.2.3Investigating Mitosis

2.2.4Cancer

2.2.5A-A* (AO3/4) - The Cell Cycle

2.3Transport Across Cell Membrane

2.3.1Cell Membrane Structure

2.3.2A-A* (AO3/4) - Membrane Structure

2.3.3Diffusion

2.3.4Osmosis

2.3.5Active Transport

2.3.6End of Topic Test - Mitosis, Cancer & Transport

2.3.7Exam-Style Question - Membranes

2.3.8A-A* (AO3/4) - Membranes & Transport

2.3.9A-A*- Mitosis, Cancer & Transport

2.4Cell Recognition & the Immune System

2.4.1Immune System

2.4.2Phagocytosis

2.4.3T Lymphocytes

2.4.4B Lymphocytes

2.4.5Antibodies

2.4.6Primary & Secondary Response

2.4.7Vaccines

2.4.8HIV

2.4.9Ethical Issues

2.4.10End of Topic Test - Immune System

2.4.11Exam-Style Question - Immune System

2.4.12A-A* (AO3/4) - Immune System

3Substance Exchange

3.1Surface Area to Volume Ratio

3.1.1Size & Surface Area

3.1.2A-A* (AO3/4) - Cell Size

3.2Gas Exchange

3.2.1Single-Celled Organisms

3.2.2Multicellular Organisms

3.2.3Control of Water Loss

3.2.4Human Gas Exchange

3.2.5Ventilation

3.2.6Dissection

3.2.7Measuring Gas Exchange

3.2.8Lung Disease

3.2.9Lung Disease Data

3.2.10End of Topic Test - Gas Exchange

3.2.11A-A* (AO3/4) - Gas Exchange

3.3Digestion & Absorption

3.3.1Overview of Digestion

3.3.2Digestion in Mammals

3.3.3Absorption

3.3.4End of Topic Test - Substance Exchange & Digestion

3.3.5A-A* (AO3/4) - Substance Ex & Digestion

3.4Mass Transport

3.4.1Haemoglobin

3.4.2Oxygen Transport

3.4.3The Circulatory System

3.4.4The Heart

3.4.5Blood Vessels

3.4.6Cardiovascular Disease

3.4.7Heart Dissection

3.4.8Xylem

3.4.9Phloem

3.4.10Investigating Plant Transport

3.4.11End of Topic Test - Mass Transport

3.4.12A-A* (AO3/4) - Mass Transport

4Genetic Information & Variation

4.1DNA, Genes & Chromosomes

4.1.1DNA

4.1.2Genes

4.1.3Non-Coding Genes

4.1.4The Genetic Code

4.1.5A-A* (AO3/4) - DNA

4.2DNA & Protein Synthesis

4.2.1Protein Synthesis

4.2.2Transcription & Translation

4.2.3End of Topic Test - DNA, Genes & Protein Synthesis

4.2.4Exam-Style Question - Protein Synthesis

4.2.5A-A* (AO3/4) - Coronavirus Translation

4.2.6A-A* (AO3/4) - Transcription

4.2.7A-A* (AO3/4) - Translation

4.3Mutations & Meiosis

4.3.1Mutations

4.3.2Meiosis

4.3.3A-A* (AO3/4) - Meiosis

4.3.4Meiosis vs Mitosis

4.3.5End of Topic Test - Mutations, Meiosis

4.3.6A-A* (AO3/4) - DNA,Genes, CellDiv & ProtSynth

4.4Genetic Diversity & Adaptation

4.4.1Genetic Diversity

4.4.2Natural Selection

4.4.3A-A* (AO3/4) - Natural Selection

4.4.4Adaptations

4.4.5Investigating Natural Selection

4.4.6End of Topic Test - Genetic Diversity & Adaptation

4.4.7A-A* (AO3/4) - Genetic Diversity & Adaptation

4.5Species & Taxonomy

4.5.1Courtship Behaviour

4.5.2Phylogeny

4.5.3Classification

4.5.4DNA Technology

4.5.5A-A* (AO3/4) - Species & Taxonomy

4.6Biodiversity Within a Community

4.6.1Biodiversity

4.6.2Index of diversity

4.6.3Agriculture

4.6.4End of Topic Test - Species,Taxonomy& Biodiversity

4.6.5A-A* (AO3/4) - Species,Taxon&Biodiversity

4.7Investigating Diversity

4.7.1Genetic Diversity

4.7.2Quantitative Investigation

5Energy Transfers (A2 only)

5.1Photosynthesis

5.1.1Overview of Photosynthesis

5.1.2Photoionisation of Chlorophyll

5.1.3Production of ATP & Reduced NADP

5.1.4Cyclic Photophosphorylation

5.1.5Light-Independent Reaction

5.1.6A-A* (AO3/4) - Photosynthesis Reactions

5.1.7Limiting Factors

5.1.8Photosynthesis Experiments

5.1.9End of Topic Test - Photosynthesis

5.1.10A-A* (AO3/4) - Photosynthesis

5.2Respiration

5.2.1Overview of Respiration

5.2.2Anaerobic Respiration

5.2.3A-A* (AO3/4) - Anaerobic Respiration

5.2.4The Link Reaction

5.2.5The Krebs Cycle

5.2.6Oxidative Phosphorylation

5.2.7Respiration Experiments

5.2.8End of Topic Test - Respiration

5.2.9A-A* (AO3/4) - Respiration

5.3Energy & Ecosystems

5.3.1Biomass

5.3.2Production & Productivity

5.3.3Agricultural Practices

5.4Nutrient Cycles

5.4.1Nitrogen Cycle

5.4.2Phosphorous Cycle

5.4.3Fertilisers & Eutrophication

5.4.4End of Topic Test - Nutrient Cycles

5.4.5A-A* (AO3/4) - Energy,Ecosystems&NutrientCycles

6Responding to Change (A2 only)

6.1Nervous Communication

6.1.1Survival

6.1.2Plant Responses

6.1.3Animal Responses

6.1.4Reflexes

6.1.5End of Topic Test - Reflexes, Responses & Survival

6.1.6Receptors

6.1.7The Human Retina

6.1.8Control of Heart Rate

6.1.9End of Topic Test - Receptors, Retina & Heart Rate

6.2Nervous Coordination

6.2.1Neurones

6.2.2Action Potentials

6.2.3Speed of Transmission

6.2.4End of Topic Test - Neurones & Action Potentials

6.2.5Synapses

6.2.6Types of Synapse

6.2.7Medical Application

6.2.8End of Topic Test - Synapses

6.2.9A-A* (AO3/4) - Nervous Comm&Coord

6.3Muscle Contraction

6.3.1Skeletal Muscle

6.3.2Sliding Filament Theory

6.3.3Contraction

6.3.4Slow & Fast Twitch Fibres

6.3.5End of Topic Test - Muscles

6.3.6A-A* (AO3/4) - Muscle Contraction

6.4Homeostasis

6.4.1Overview of Homeostasis

6.4.2Blood Glucose Concentration

6.4.3Controlling Blood Glucose Concentration

6.4.4End of Topic Test - Blood Glucose

6.4.5Primary & Secondary Messengers

6.4.6Diabetes Mellitus

6.4.7Measuring Glucose Concentration

6.4.8Osmoregulation

6.4.9Controlling Blood Water Potential

6.4.10ADH

6.4.11End of Topic Test - Diabetes & Osmoregulation

6.4.12A-A* (AO3/4) - Homeostasis

7Genetics & Ecosystems (A2 only)

7.1Genetics

7.1.1Key Terms in Genetics

7.1.2Inheritance

7.1.3Linkage

7.1.4Multiple Alleles & Epistasis

7.1.5Chi-Squared Test

7.1.6End of Topic Test - Genetics

7.1.7A-A* (AO3/4) - Genetics

7.2Populations

7.2.1Populations

7.2.2Hardy-Weinberg Principle

7.3Evolution

7.3.1Variation

7.3.2Natural Selection & Evolution

7.3.3End of Topic Test - Populations & Evolution

7.3.4Types of Selection

7.3.5Types of Selection Summary

7.3.6Overview of Speciation

7.3.7Causes of Speciation

7.3.8Diversity

7.3.9End of Topic Test - Selection & Speciation

7.3.10A-A* (AO3/4) - Populations & Evolution

7.4Populations in Ecosystems

7.4.1Overview of Ecosystems

7.4.2Niche

7.4.3Population Size

7.4.4Investigating Population Size

7.4.5End of Topic Test - Ecosystems & Population Size

7.4.6Succession

7.4.7Conservation

7.4.8End of Topic Test - Succession & Conservation

7.4.9A-A* (AO3/4) - Ecosystems

8The Control of Gene Expression (A2 only)

8.1Mutation

8.1.1Mutations

8.1.2Effects of Mutations

8.1.3Causes of Mutations

8.2Gene Expression

8.2.1Stem Cells

8.2.2Stem Cells in Disease

8.2.3End of Topic Test - Mutation & Gene Epression

8.2.4A-A* (AO3/4) - Mutation & Stem Cells

8.2.5Regulating Transcription

8.2.6Epigenetics

8.2.7Epigenetics & Disease

8.2.8Regulating Translation

8.2.9Experimental Data

8.2.10End of Topic Test - Transcription & Translation

8.2.11Tumours

8.2.12Correlations & Causes

8.2.13Prevention & Treatment

8.2.14End of Topic Test - Cancer

8.2.15A-A* (AO3/4) - Gene Expression & Cancer

8.3Genome Projects

8.3.1Using Genome Projects

8.4Gene Technology

8.4.1Recombinant DNA

8.4.2Producing Fragments

8.4.3Amplification

8.4.4End of Topic Test - Genome Project & Amplification

8.4.5Using Recombinant DNA

8.4.6Medical Diagnosis

8.4.7Genetic Fingerprinting

8.4.8End of Topic Test - Gene Technologies

8.4.9A-A* (AO3/4) - Gene Technology

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Populations

Variation