Population Genetics & Hardy-Weinberg Vocabulary

Microevolution vs. Macroevolution

  • Evolution = change in allele frequencies over time.
    • Microevolution
    • Small‐scale changes in allele frequencies within a single population.
    • DOES NOT produce a new species.
    • Example: shift in gene frequencies while a lineage still lives in water.
    • Macroevolution
    • Large‐scale changes that culminate in speciation (reproductive isolation).
    • Example: water-living ancestor → divergence into tetrapods that can live on land.

Gene Pools & Allele Frequency Basics

  • Gene pool = total collection of alleles in a population.
  • Frequency of each allele is expressed as a proportion (0–1 or 0–100 %).
  • For a locus with two alleles (dominant A and recessive a):
    • p = frequency of A
    • q = frequency of a
    • Fundamental rule: p + q = 1
  • Counting method illustrated with fish example (7 fish, 14 alleles)
    • Dominant alleles counted = 6 → 6/14 = 0.429 (42.9 %)
    • Recessive alleles counted = 8 → 8/14 = 0.571 (57.1 %)
    • Percentages must sum to 100 % (check for accuracy).

Evolutionary Forces That Shift Allele Frequencies

  • Natural selection
    • Alleles improving survival or reproduction become more common.
  • Sexual selection / non-random mating
    • Attractive traits → more mating opportunities → higher allele freq.
    • Instructor’s advice: “Do not mate randomly.”
  • Mutation
    • New alleles appear via DNA error; provides raw material for evolution.
  • Genetic drift
    • Random change, strongest in small populations (e.g., tornado bottleneck).
  • Gene flow (migration)
    • Immigration/emigration moves alleles between populations; mixes gene pools.

Hardy–Weinberg Principle (H-W)

  • Provides the “null model” for a NON-evolving population (genetic equilibrium).
  • Under perfect equilibrium, genotype frequencies follow: p^2 + 2pq + q^2 = 1
    • p^2 = frequency of homozygous dominant (AA)
    • 2pq = heterozygous (Aa)
    • q^2 = homozygous recessive (aa)
  • Purpose
    • Allows researchers to test whether real populations deviate → evidence of evolution.
    • Functions like a straw-man/null hypothesis: we try to FALSIFY H-W to show evolution.

Five Assumptions for Hardy–Weinberg Equilibrium

  1. No natural selection.
  2. Random mating (no sexual selection).
  3. No mutation.
  4. Infinitely large (or very large) population → no genetic drift.
  5. No gene flow (no migration in/out).

Deviations & Their Evolutionary Implications

H-W ConditionReal-world DeviationEvolutionary Process
Random matingNon-random matingSexual selection
No natural selectionDifferential survival/fitnessNatural selection
No mutationMutations occurMutation
Infinite pop. sizeSmall pop./bottleneckGenetic drift
No migrationImmigration/emigrationGene flow

Worked Example: Ear-Wax Consistency (Human Trait)

  • Alleles: W (wet earwax, dominant) & w (dry earwax, recessive).
  • Field data: 9 % of 100 people have dry earwax phenotype → q^2 = 0.09.
    • Solve for q: q = \sqrt{0.09} = 0.30 (30 %).
    • Solve for p: p = 1 - q = 1 - 0.30 = 0.70 (70 %).
  • Genotype frequencies predicted under H-W:
    • p^2 = 0.70^2 = 0.49 → 49 % WW.
    • 2pq = 2(0.70)(0.30) = 0.42 → 42 % Ww (wet earwax carriers of w).
    • q^2 = 0.09 → 9 % ww.
  • Demonstrates connection between phenotype counts and underlying allele distribution.

Additional Example: 10-Individual Population

  • Genotypes listed: 4 AA, 4 Aa, 2 aa (total alleles = 20).
  • Dominant A alleles: 4\times2 + 4\times1 = 12 → 12/20 = 0.60 (p = 0.60).
  • Recessive a alleles: 4 + 4 = 8 → 8/20 = 0.40 (q = 0.40).

Adaptations vs. Acclimations (Acquired Traits)

  • Adaptation = inherited genetic trait enhancing fitness (e.g., bats’ large ears for echolocation).
  • Acclimation (acquired trait) = learned/physiological adjustment, not genetic (e.g., bats avoid flying in rain).
  • Both influence survival, but only adaptations are heritable and thus affect allele frequencies across generations.

Laboratory & Course Context Mentioned

  • Previous lab activities once included PCR & gel electrophoresis; curriculum now simplified.
  • Hardy–Weinberg math problems formerly common; current focus = CONCEPTS, 5 assumptions.
  • Students still expected to:
    • Memorize the 5 H-W conditions.
    • Understand allele‐frequency calculations (even if not solving full equations on exams).
    • Complete transcription/translation worksheets & term projects (due before Monday to receive credit).

Ethical / Practical / Philosophical Angles Discussed

  • H-W as a “no fun” model: impossible in nature, highlights how real life always deviates.
  • “Hot surfer cousin” joke underscores gene flow’s role—social behaviors affect genetic makeup.
  • Instructor’s gendered humor (“encourage nonrandom mating”) used to illustrate sexual selection in humans.

Key Equations & Symbols (All in LaTeX)

  • Fundamental allele relationship: p + q = 1
  • Genotype frequency expansion: p^2 + 2pq + q^2 = 1
  • Solving for missing variable: q = \sqrt{q^2} ; p = 1 - q
  • Heterozygote frequency: 2pq

Quick Study Checklist

  • Know definitions: microevolution, macroevolution, allele, gene pool.
  • Be able to describe & give examples of the five evolutionary forces.
  • Memorize the 5 Hardy–Weinberg assumptions & explain why each matters.
  • Practice allele counting & H-W calculations (use examples above as models).
  • Differentiate adaptation (genetic) vs. acclimation (learned/physiological).
  • Understand why Hardy–Weinberg is a null hypothesis and how deviation → evidence of evolution.