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>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>Selected−Xˉ</em>Original
The Breeder’s Equation (predicting response to selection):
R=h2S
The Breeder’s Equation can also be rearranged to estimate heritability: h2=SR
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.
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)=p2
Heterozygous: f(Aa)=2pq
Homozygous recessive: f(aa)=q2
The sum of allele frequencies: p+q=1
The sum of genotype frequencies: p2+2pq+q2=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.