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
- No natural selection.
- Random mating (no sexual selection).
- No mutation.
- Infinitely large (or very large) population → no genetic drift.
- No gene flow (no migration in/out).
Deviations & Their Evolutionary Implications
H-W Condition | Real-world Deviation | Evolutionary Process |
---|
Random mating | Non-random mating | Sexual selection |
No natural selection | Differential survival/fitness | Natural selection |
No mutation | Mutations occur | Mutation |
Infinite pop. size | Small pop./bottleneck | Genetic drift |
No migration | Immigration/emigration | Gene 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.