Measuring Evolution of Populations
- Populations and Gene Pools
- Concepts
- A population is a localized group of interbreeding individuals
- Gene pool is a collection of alleles in the population
- Allele frequency is how common that allele in the population
- Evolution of Populations
- Evolution
- Change in allele frequencies in a population
- Non-evolving population
- Remove all agents of evolutionary change
- Very large population size
- No genetic drift
- No migration
- No gene flow
- No mutation
- No genetic change
- Random mating
- No sexual selection
- No natural selection
- Everybody is equally fit
- Hardy-Weinberg Equilibrium
- Hypothetical, non-evolving population
- Preserves allele frequencies
- Serves as a model (null hypothesis)
- Natural populations rarely in H-W equilibrium
- Useful model to measure if forces are acting on a population
- Measuring evolutionary change
- Hardy-Weinberg Theorem
- Counting alleles
- Assume 2 alleles
- B,b
- Frequency of dominant allele
- Variable p
- Frequency of recessive allele
- Variable q
- Frequencies must ad to 1
- p+q=1
- Counting individuals
- Frequency of homozygous dominant
- p*p=p^2
- Frequency of homozygous recessive
- q*q=q^2
- Frequency of heterozygotes
- (p*q)+(q*p)=pq
- Frequency of all individuals must add up to 1
- p^2+qp+q^2=1
- Application of H-W Principle
- Sickle cell anemia
- Inherit mutation in gene coding for hemoglobin
- Oxygen-carrying blood protein
- Low oxygen levels cause RBC to sickle
- Breakdown of RBC
- Clogging small blood vessels
- Damage to organs
- Often lethal
- Sickle Cell Frequency
- High frequency of heterozygotes
- 1 in 5 in Central Africans
- Unusual for allele with severe detrimental effects in homo zygotes
- 1 in 100
- Usually die before reproductive age
- Heterozygote Advantage
- In tropical Africa, where malaria is common
- Homozygous dominant (normal)
- Die or reduced reproduction from malaria
- Homozygous recessive
- Die or reduced reproduction from sickle cell anemia
- Heterozygote carriers
- Relatively free of both
- Survive and reproduce more