7.2.2

Hardy-Weinberg Principle

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Using the Hardy-Weinberg Principle

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

Predictions

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.
Assumptions

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.

p + q = 1

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.
p<sup>2</sup> + 2pq + q<sup>2</sup> = 1

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.
Predicting genotypes

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.
Pea plants

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
1

Biological Molecules

1.1

Monomers & Polymers

1.1.1Monomers & Polymers1.1.2Condensation & Hydrolysis Reactions
1.2

Carbohydrates

1.2.1Structure of Carbohydrates1.2.2Types of Polysaccharides1.2.3End of Topic Test - Monomers, Polymers and Carbs1.2.4Exam-Style Question - Carbohydrates1.2.5A-A* (AO3/4) - Carbohydrates
1.3

Lipids

1.3.1Triglycerides & Phospholipids1.3.2Types of Fatty Acids1.3.3Testing for Lipids1.3.4Exam-Style Question - Fats1.3.5A-A* (AO3/4) - Lipids
1.4

Proteins

1.4.1The Peptide Chain1.4.2Investigating Proteins1.4.3Primary & Secondary Protein Structure1.4.4Tertiary & Quaternary Protein Structure1.4.5Enzymes1.4.6Factors Affecting Enzyme Activity1.4.7Enzyme-Controlled Reactions1.4.8End of Topic Test - Lipids & Proteins1.4.9A-A* (AO3/4) - Enzymes1.4.10A-A* (AO3/4) - Proteins1.4.11Diagnostic Misconceptions - Enzyme Inhibitors
1.5

Nucleic Acids

1.5.1DNA & RNA1.5.2Nucleotides1.5.3Polynucleotides1.5.4DNA Replication1.5.5Exam-Style Question - Nucleic Acids1.5.6A-A* (AO3/4) - Nucleic Acids
1.6

ATP

1.6.1Structure of ATP1.6.2Hydrolysis of ATP1.6.3Resynthesis of ATP1.6.4End of Topic Test - Nucleic Acids & ATP
1.7

Water

1.7.1Importance of Water1.7.2Structure of Water1.7.3Properties of Water1.7.4A-A* (AO3/4) - Water
1.8

Inorganic Ions

1.8.1Inorganic Ions1.8.2End of Topic Test - Water & Inorganic Ions
2

Cells

2.1

Cell Structure

2.1.1Introduction to Cells2.1.2Eukaryotic Cells & Organelles2.1.3Eukaryotic Cells & Organelles 22.1.4Prokaryotes2.1.5A-A* (AO3/4) - Organelles2.1.6Methods of Studying Cells2.1.7Microscopes2.1.8End of Topic Test - Cell Structure2.1.9Exam-Style Question - Cells2.1.10A-A* (AO3/4) - Cells
2.2

Mitosis & Cancer

2.2.1Mitosis2.2.2Stages of Mitosis2.2.3Investigating Mitosis2.2.4Cancer2.2.5A-A* (AO3/4) - The Cell Cycle
2.3

Transport Across Cell Membrane

2.3.1Cell Membrane Structure2.3.2A-A* (AO3/4) - Membrane Structure2.3.3Diffusion2.3.4Osmosis2.3.5Active Transport2.3.6End of Topic Test - Mitosis, Cancer & Transport2.3.7Exam-Style Question - Membranes2.3.8A-A* (AO3/4) - Membranes & Transport2.3.9A-A*- Mitosis, Cancer & Transport
2.4

Cell Recognition & the Immune System

2.4.1Immune System2.4.2Phagocytosis2.4.3T Lymphocytes2.4.4B Lymphocytes2.4.5Antibodies2.4.6Primary & Secondary Response2.4.7Vaccines2.4.8HIV2.4.9Ethical Issues2.4.10End of Topic Test - Immune System2.4.11Exam-Style Question - Immune System2.4.12A-A* (AO3/4) - Immune System2.4.13Diagnostic Misconceptions - Humoral vs Cellular
3

Substance Exchange

3.1

Surface Area to Volume Ratio

3.1.1Size & Surface Area3.1.2A-A* (AO3/4) - Cell Size
3.2

Gas Exchange

3.2.1Single-Celled Organisms3.2.2Multicellular Organisms3.2.3Control of Water Loss3.2.4Human Gas Exchange3.2.5Ventilation3.2.6Dissection3.2.7Measuring Gas Exchange3.2.8Lung Disease3.2.9Lung Disease Data3.2.10End of Topic Test - Gas Exchange3.2.11A-A* (AO3/4) - Gas Exchange
3.3

Digestion & Absorption

3.3.1Overview of Digestion3.3.2Digestion in Mammals3.3.3Absorption3.3.4End of Topic Test - Substance Exchange & Digestion3.3.5A-A* (AO3/4) - Substance Ex & Digestion
3.4

Mass Transport

3.4.1Haemoglobin3.4.2Oxygen Transport3.4.3The Circulatory System3.4.4The Heart3.4.5Blood Vessels3.4.6Cardiovascular Disease3.4.7Heart Dissection3.4.8Xylem3.4.9Phloem3.4.10Investigating Plant Transport3.4.11End of Topic Test - Mass Transport3.4.12A-A* (AO3/4) - Mass Transport3.4.13Diagnostic Misconceptions - Concentration Gradient3.4.14Diagnostic Misconceptions - Cardiac Cycle3.4.15Diagnostic Misconceptions - Carrying Capacity3.4.16Diagnostic Misconceptions - Translocation
4

Genetic Information & Variation

4.1

DNA, Genes & Chromosomes

4.1.1DNA4.1.2Genes4.1.3Non-Coding Genes4.1.4The Genetic Code4.1.5A-A* (AO3/4) - DNA
4.2

DNA & Protein Synthesis

4.2.1Protein Synthesis4.2.2Transcription & Translation4.2.3End of Topic Test - DNA, Genes & Protein Synthesis4.2.4Exam-Style Question - Protein Synthesis4.2.5A-A* (AO3/4) - Coronavirus Translation4.2.6A-A* (AO3/4) - Transcription4.2.7A-A* (AO3/4) - Translation
4.3

Mutations & Meiosis

4.3.1Mutations4.3.2Meiosis4.3.3A-A* (AO3/4) - Meiosis4.3.4Meiosis vs Mitosis4.3.5End of Topic Test - Mutations, Meiosis4.3.6A-A* (AO3/4) - DNA,Genes, CellDiv & ProtSynth4.3.7Diagnostic Misconceptions - Meiosis vs Mitosis
4.4

Genetic Diversity & Adaptation

4.4.1Genetic Diversity4.4.2Natural Selection4.4.3A-A* (AO3/4) - Natural Selection4.4.4Adaptations4.4.5Investigating Natural Selection4.4.6End of Topic Test - Genetic Diversity & Adaptation4.4.7A-A* (AO3/4) - Genetic Diversity & Adaptation
4.5

Species & Taxonomy

4.5.1Courtship Behaviour4.5.2Phylogeny4.5.3Classification4.5.4DNA Technology4.5.5A-A* (AO3/4) - Species & Taxonomy
4.6

Biodiversity Within a Community

4.6.1Biodiversity4.6.2Index of diversity4.6.3Agriculture4.6.4End of Topic Test - Species,Taxonomy& Biodiversity4.6.5A-A* (AO3/4) - Species,Taxon&Biodiversity
4.7

Investigating Diversity

4.7.1Genetic Diversity4.7.2Quantitative Investigation
5

Energy Transfers (A2 only)

5.1

Photosynthesis

5.1.1Overview of Photosynthesis5.1.2Photoionisation of Chlorophyll5.1.3Production of ATP & Reduced NADP5.1.4Cyclic Photophosphorylation5.1.5Light-Independent Reaction5.1.6A-A* (AO3/4) - Photosynthesis Reactions5.1.7Limiting Factors5.1.8Photosynthesis Experiments5.1.9End of Topic Test - Photosynthesis5.1.10A-A* (AO3/4) - Photosynthesis
5.2

Respiration

5.2.1Overview of Respiration5.2.2Anaerobic Respiration5.2.3A-A* (AO3/4) - Anaerobic Respiration5.2.4The Link Reaction5.2.5The Krebs Cycle5.2.6Oxidative Phosphorylation5.2.7Respiration Experiments5.2.8End of Topic Test - Respiration5.2.9A-A* (AO3/4) - Respiration5.2.10Diagnostic Misconceptions - Aerobic vs Anaerobic
5.3

Energy & Ecosystems

5.3.1Biomass5.3.2Production & Productivity5.3.3Agricultural Practices
5.4

Nutrient Cycles

5.4.1Nitrogen Cycle5.4.2Phosphorous Cycle5.4.3Fertilisers & Eutrophication5.4.4End of Topic Test - Nutrient Cycles5.4.5A-A* (AO3/4) - Energy,Ecosystems&NutrientCycles
6

Responding to Change (A2 only)

6.1

Nervous Communication

6.1.1Survival6.1.2Plant Responses6.1.3Animal Responses6.1.4Reflexes6.1.5End of Topic Test - Reflexes, Responses & Survival6.1.6Receptors6.1.7The Human Retina6.1.8Control of Heart Rate6.1.9End of Topic Test - Receptors, Retina & Heart Rate
6.2

Nervous Coordination

6.2.1Neurones6.2.2Action Potentials6.2.3Speed of Transmission6.2.4End of Topic Test - Neurones & Action Potentials6.2.5Synapses6.2.6Types of Synapse6.2.7Medical Application6.2.8End of Topic Test - Synapses6.2.9A-A* (AO3/4) - Nervous Comm&Coord
6.3

Muscle Contraction

6.3.1Skeletal Muscle6.3.2Sliding Filament Theory6.3.3Contraction6.3.4Slow & Fast Twitch Fibres6.3.5End of Topic Test - Muscles6.3.6A-A* (AO3/4) - Muscle Contraction
6.4

Homeostasis

6.4.1Overview of Homeostasis6.4.2Blood Glucose Concentration6.4.3Controlling Blood Glucose Concentration6.4.4End of Topic Test - Blood Glucose6.4.5Primary & Secondary Messengers6.4.6Diabetes Mellitus6.4.7Measuring Glucose Concentration6.4.8Osmoregulation6.4.9Controlling Blood Water Potential6.4.10ADH6.4.11End of Topic Test - Diabetes & Osmoregulation6.4.12A-A* (AO3/4) - Homeostasis6.4.13Diagnostic Misconceptions - Effect of ADH
7

Genetics & Ecosystems (A2 only)

7.1

Genetics

7.1.1Key Terms in Genetics7.1.2Inheritance7.1.3Linkage7.1.4Multiple Alleles & Epistasis7.1.5Chi-Squared Test7.1.6End of Topic Test - Genetics7.1.7A-A* (AO3/4) - Genetics7.1.8Diagnostic Misconceptions - Dihybrid Inheritance7.1.9Diagnostic Misconceptions - Sex Linkage
7.2

Populations

7.2.1Populations7.2.2Hardy-Weinberg Principle
7.3

Evolution

7.3.1Variation7.3.2Natural Selection & Evolution7.3.3End of Topic Test - Populations & Evolution7.3.4Types of Selection7.3.5Types of Selection Summary7.3.6Overview of Speciation7.3.7Causes of Speciation7.3.8Diversity7.3.9End of Topic Test - Selection & Speciation7.3.10A-A* (AO3/4) - Populations & Evolution7.3.11Diagnostic Misconceptions - Types of Speciation
7.4

Populations in Ecosystems

7.4.1Overview of Ecosystems7.4.2Niche7.4.3Population Size7.4.4Investigating Population Size7.4.5End of Topic Test - Ecosystems & Population Size7.4.6Succession7.4.7Conservation7.4.8End of Topic Test - Succession & Conservation7.4.9A-A* (AO3/4) - Ecosystems
8

The Control of Gene Expression (A2 only)

8.1

Mutation

8.1.1Mutations8.1.2Effects of Mutations8.1.3Causes of Mutations8.1.4Diagnostic Misconceptions - Gene Expression
8.2

Gene Expression

8.2.1Stem Cells8.2.2Stem Cells in Disease8.2.3End of Topic Test - Mutation & Gene Epression8.2.4A-A* (AO3/4) - Mutation & Stem Cells8.2.5Regulating Transcription8.2.6Epigenetics8.2.7Epigenetics & Disease8.2.8Regulating Translation8.2.9Experimental Data8.2.10End of Topic Test - Transcription & Translation8.2.11Tumours8.2.12Correlations & Causes8.2.13Prevention & Treatment8.2.14End of Topic Test - Cancer8.2.15A-A* (AO3/4) - Gene Expression & Cancer
8.3

Genome Projects

8.3.1Using Genome Projects
8.4

Gene Technology

8.4.1Recombinant DNA8.4.2Producing Fragments8.4.3Amplification8.4.4End of Topic Test - Genome Project & Amplification8.4.5Using Recombinant DNA8.4.6Medical Diagnosis8.4.7Genetic Fingerprinting8.4.8End of Topic Test - Gene Technologies8.4.9A-A* (AO3/4) - Gene Technology
9

Mathematical Skills

9.1

Mathematical Skills

9.1.1Diagnostic Misconceptions - Converting Units9.1.2Diagnostic Misconceptions - Correct Hypothesis9.1.3Diagnostic Misconceptions - Interpret Hypothesis9.1.4Diagnostic Misconceptions - Calculate Uncertainty

Practice questions on Hardy-Weinberg Principle

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  1. 1
    Which of these is NOT an assumption made in the Hardy-Weinberg principle?Multiple choice
  2. 2
    Which of the following statements about the Hardy-Weinberg equation are true?True / false
  3. 3
    Which genotype frequency can be easily identified by observing the phenotypes of the population?Multiple choice
  4. 4
    What is the name of the equation used to predict the frequency of alleles, genotypes and phenotypes in a population? Multiple choice
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Populations

Variation