What is a population in evolutionary biology?
A group of individuals of the same species living in the same geographic area and capable of interbreeding.
Define gene pool
The total collection of all alleles at all loci in a population
What is allele frequency?
The proportion of a specific allele among all alleles at a locus in a population.
formula for calculating allele frequency
Allele frequency= Number of copies of allele/total alleles (2N)
What is genotype frequency?
The proportion of individuals in a population with a specific genotype
formula to calculate genotype frequency
Genotype frequency=Number with genotype/ total genes (N)
What is phenotype frequency?
The proportion of individuals expressing a particular phenotype.
hardy weinberg formula for allele frequencies
p+q=1
hardy weinberg formula for genotype frequencies
p^2+2pq+q^2=1
What is the modern synthesis of evolution?
The integration of Darwinian natural selection with Mendelian genetics
What disciplines did the modern synthesis connect?
Natural selection
Mendelian inheritance
Population genetics
Paleontology
Systematics
How is evolution defined in population genetics?
Evolution is a change in allele frequencies in a population across generations.
How do we determine if evolution is occurring?
If allele frequencies change from one generation to the next, evolution is occurring.
What does Hardy-Weinberg equilibrium predict?
If certain conditions are met, allele and genotype frequencies remain constant from generation to generation.
What are the five assumptions of Hardy-Weinberg equilibrium?
No mutation
No migration (gene flow)
Large population size (no genetic drift)
Random mating
No natural selection
Why is Hardy-Weinberg used as a null model?
It represents a baseline expectation of no evolutionary change. Deviations suggest evolutionary forces are acting.
How do Hardy-Weinberg assumptions link to evolutionary mechanisms?
Mutation → new alleles
Migration → gene flow
Small population → genetic drift
Nonrandom mating → changes genotype frequencies
Selection → differential survival/reproduction
How are Hardy-Weinberg genotype frequencies derived?
(p+q)(p+q)=p^2+2pq+q^2
its literally just a punett square
How do you derive HWE predictions for three alleles (A₁, A₂, A₃)?
(p+q+r)^2 expands to
p^2+q^2+r^2+2pq+2qr+2pr
If a population is in HWE and recessive phenotype frequency (aa) = 0.16, how do you find allele frequencies?
q^2=0.16
q=0.4
p=1−q=0.6
Once you know p and q, how do you find genotype frequencies?
AA=p^2
Aa=2pq
aa=q^2
What is the alternative hypothesis (H₁) when testing for HWE?
The population is not in Hardy-Weinberg equilibrium.
Steps to perform chi-square test for HWE?
1) Calculate allele frequencies
2) Calculate expected genotype frequencies (p², 2pq, q²)
3) Convert frequencies to expected counts
4) Calculate χ²
5) Determine degrees of freedom
6) Compare to χ² critical value
7) Accept or reject H₀
Degrees of freedom for HWE?
df = number of genotypes − number of alleles