Lecture 3 fall 2025.elms

Key Terms and Core Concepts

  • Natural selection: differential reproduction of individuals based on heritable variation in traits.
  • Evolution: genetic change in a population over time.
  • Population: a group of individuals of a single species that live and interbreed in a particular geographic area at the same time.
  • Adaptation: a trait (structural, physiological, behavioral) that increases an organism’s chance of survival and reproduction; also, the evolutionary process by which traits change to improve survival/reproduction.
  • Fitness ( = $R0$ ): the total number of offspring produced by an individual during its lifetime. R</em>0R</em>0

Components of Fitness and Reproductive Strategies

  • Components contributing to fitness:
    • Survival to reproductive age
    • Mating success
    • Fecundity (number of offspring)
    • Age at first reproduction (e.g., cost of migration due to delayed reproduction)
    • Duration of reproductive life (survival after reproduction is not directly relevant)
    • Degree of parental care; paternal care often depends on offspring’s ability to survive with/without care
  • Reproductive strategies (varying provisioning and care):
    • Large number of gametes with little or no provisioning beyond yolk
    • Retention or care of eggs
    • Bi-parental care (typical of birds) — generally associated with monogamy
    • Maternal care (typical of mammals) — generally associated with polygamy
  • Fitness is the capacity of an individual to pass on genes to reproducing offspring.

Outcomes of Natural Selection

  • Natural selection can increase fitness and produce:
    • Stabilizing selection
    • Directional (differential) selection
    • Disruptive selection
  • These outcomes depend on how fitness varies with phenotype.

How Natural Selection Can Operate: Interpreting Graphs (Conceptual)

  • Fitness graphs show fitness of individuals with different phenotypes for a trait.
  • Population phenotype distribution changes from before (dashed line) to after (solid line) selection.

Stabilizing Selection

  • Favors intermediate variants of a trait; reduces variation and maintains the status quo.
  • Acts against extreme phenotypes; leads to a more homogeneous population over time.
  • Reduces variation but does not change the mean trait value.
  • Often called purifying selection: selection against deleterious mutations in the usual gene sequence.
  • Example: Stabilizing selection on human birth weight.
  • Example: Stabilizing selection in Siberian Husky size optimum for working in snow (35–60 lbs).

Directional (Differential) Selection

  • Individuals at one extreme of a trait distribution have higher survival and reproduction, contributing more offspring.
  • For a single gene locus, directional selection may favor a particular variant (positive selection).
  • Change per generation depends on:
    • Strength of selection
    • Proportion of phenotypic variation that is genetic (heritability, $h^2$)
  • Heritability: the proportion of the phenotypic variance of a trait in a population that is due to additive genetic variance; an indicator of the genetic component of the trait.
  • Selection differential ($S$): the difference between the mean of the trait in the original population and the mean of the trait in the selected reproductive population.
    • S=Xˉ<em>SelectedXˉ</em>OriginalS = \bar{X}<em>{Selected} - \bar{X}</em>{Original}
  • The Breeder’s Equation (predicting response to selection):
    • R=h2SR = h^2 S
  • The Breeder’s Equation can also be rearranged to estimate heritability: h2=RSh^2 = \frac{R}{S}
  • Environmental factors can drive directional selection (e.g., climate change, resource variation, predation pressure).
  • Examples:
    • Climate change selecting for heat-tolerant traits.
    • Coloration changes in snowshoe hares depending on snow cover.
    • Disease resistance increasing in populations facing new pathogens.
    • Texas Longhorn cattle as a case of directional selection for certain hardy traits.

Disruptive Selection and Polymorphisms

  • Disruptive selection favors extreme phenotypes at both ends of the distribution; average/intermediate phenotypes are disfavored.
  • Results in increased variation; can produce a bimodal distribution.
  • Example: Bill sizes in the Black-bellied Seedcracker (Pyrenestes ostrinus) – larger and smaller bills favored; intermediate sizes disfavored.
  • Consequences: can maintain or increase polymorphisms in a population across environments.

Polymorphisms and Balancing Selection

  • Polymorphism: existence of two or more distinct forms/phenotypes of a trait within a population.
  • Mechanisms maintaining polymorphisms (Balancing Selection):
    • Heterozygote advantage (overdominance)
    • Frequency-dependent selection
  • Frequency-dependent selection: fitness of a phenotype depends on its frequency in the population; can maintain polymorphism when rare morphs gain advantage (predator/prey dynamics, predator switching).
  • Heterozygote advantage: heterozygotes have higher fitness than either homozygote in certain environments; maintains both alleles in the population.

Clines and Geographic Variation

  • A cline is a gradient in a trait across a geographic range.
  • Clines can be smooth or abrupt; a single population can have multiple independent clines for different traits.
  • Examples:
    • Australian birds: smaller size toward the north; plumage color intensity correlates with humidity and is reduced toward arid centers.
    • White clover: cyanide production deters herbivores; frost increases mortality for cyanide-producing plants, causing geographic variation in cyanide production.
    • Europe: gradual clover phenotype changes with winter temperature gradients (cline).
  • Geographic variation reflects different selective pressures across environments.

Cyanide Production in White Clover: Geographic Gradient

  • Proportion of cyanide-producing individuals in European populations depends on winter temperatures.
  • Frost events reduce cyanide producers in colder areas, shaping geographic distribution.

Co-evolution: Sickle Cell Anemia and Malaria

  • Sickle-cell anemia is caused by a point mutation in the beta-globin gene, producing hemoglobin S (HbS).
  • HbS homozygotes (HbSS) have severe disease; HbS heterozygotes (HbS HbA) have sickle-cell trait with milder symptoms.
  • Heterozygotes gain malaria resistance, increasing survival in malaria-endemic regions.
  • This is a classic case of balancing selection via heterozygote advantage.
  • Visual: geographic distribution of HbS and Plasmodium falciparum malaria in Africa illustrates co-evolution.

Frequency-Dependent Selection: Predator–Prey and Morph Cycles

  • Predation can favor rare morphs; when a morph becomes common, it becomes targeted, reducing its fitness, allowing the rare morph to increase in frequency.
  • Classic examples include prey switching and frequency-dependent predation cycles.
  • Three-throat-m morphs in male side-blotched lizards (orange, blue, yellow) provide different mating strategies and interact in a rock–paper–scissors cycle; no single morph dominates across seasons, producing ongoing cycles.
  • Scale-eating fish Perissodus microlepis exhibit left- and right-mouth morphs maintained by frequency dependence.

Hardy-Weinberg Principle: A Null Model

  • The Hardy-Weinberg (HW) principle is a null model describing allele and genotype frequencies in the absence of evolutionary forces and with random mating.
  • Assumptions (no evolutionary agents acting):
    • No mutations
    • No migration (gene flow)
    • No natural selection
    • No genetic drift
    • Random mating
  • HW provides a baseline to predict genetic makeup if none of these forces are acting and mating is random.
  • History: Developed by Godfrey Hardy and Wilhelm Weinberg in the early 20th century.

HW Algebra and Genotype Frequencies

  • Let p be the frequency of the dominant allele, q the frequency of the recessive allele (
    p + q = 1
    ).
  • Genotype frequencies expected under HW:
    • Homozygous dominant: f(AA)=p2f(AA) = p^2
    • Heterozygous: f(Aa)=2pqf(Aa) = 2pq
    • Homozygous recessive: f(aa)=q2f(aa) = q^2
  • The sum of allele frequencies: p+q=1p + q = 1
  • The sum of genotype frequencies: p2+2pq+q2=1p^2 + 2pq + q^2 = 1
  • In HW equilibrium, observed frequencies should match these predictions if no evolutionary forces are acting.

Testing HW: PKU Example (Heredity and Genotype Frequencies)

  • PKU (phenylketonuria) is an autosomal recessive disease.
  • Phenotype: affected individuals are aa; disease frequency observed: 1 in 10,000.
  • Question: If HW applies, what is the frequency of the a allele? How many carriers (Aa) are expected in 10,000 individuals?
  • Setup: Let A be the wild-type allele, a be the recessive disease allele.
  • Observed: f(aa)=q2=frac110,000=0.0001f(aa) = q^2 = frac{1}{10{,}000} = 0.0001
  • Solve: q=0.0001=0.01q = \sqrt{0.0001} = 0.01
  • Then p=1q=0.99p = 1 - q = 0.99
  • Predicted genotype frequencies:
    • f(AA)=p2=0.9801f(AA) = p^2 = 0.9801
    • f(Aa)=2pq=2(0.99)(0.01)=0.0198f(Aa) = 2pq = 2(0.99)(0.01) = 0.0198
    • f(aa)=q2=0.0001f(aa) = q^2 = 0.0001
  • In 10,000 individuals:
    • Affected (aa): 1 person