The document discusses Hardy-Weinberg equilibrium, which states that allele and genotype frequencies in a population will remain constant from generation to generation if the population meets certain conditions: large size, random mating, no mutations, migration, drift or selection. It provides an example calculation of genotype frequency. The document also covers genetic variation within and between populations, factors influencing variation like isolation and drift, minimum viable population size, effective population size, and causes of extinction.
Hardy-Weinberg Equilibrium and Genetic Variation in Populations
1. Hardy-Weinberg equilibrium
if p = frequency of allele A
q = frequency of allele a
p + q = 1, ( p + q )2 = 1
p2 + 2pq + q2 = 1
if only law of probability affects the
frequency w/ which gametes combine
to form new individuals
2. Bisexual population
Large population
Random mating
No mutation
Migration ~ 0
Natural selection does not affect the
locus
3. A population that is in Hardy-Weinberg
equilibrium will experience no change
in either genotype frequency or allele
frequency
If one or more of the conditions is
violated, genotype frequency and allele
frequency will change
4. Example
If only 6% of the population displays
pale eyes (recessive gene e). What is
the frequency of genotype Ee in this
population?
q2 = 0.06 ---> q = 0.24
p + q = 1 ---> p = 0.76
Ee = 2pq = 2(0.76)(0.24) = 0.36
5. Genetic variation
Cline – a measurable, gradual change
over a geographical region in the
average of some phenotype character
Ecotype – abrupt changes in the
phenotype characters within a species,
which often reflect abrupt changes in
local environment
6. Geographic isolates – semi-isolated
populations prevented by some
extrinsic barriers from a free flow of
genes
Genetic polymorphism – the existence
within a species or population of
different forms of individuals
7. Maintenance of
balanced polymorphism
(vs. transitional or directional polymorphism)
heterosis
diversifying evolution
frequency-dependent selection
selective forces operating in different
directions within different patches of a
fine mosaic in the population
11. Reduction in variation
inbreeding, bottlenecks, founder effect,
genetic drift
genetic drift - random shifts in allele
frequencies
12. Effect of small populations
More demographic variation, inbreeding
depression, genetic drift → higher risk of
extinction
Minimum viable population size
the threshold # of individuals that will
ensure the persistence of subpopulation
in a viable state for a given time interval
13. Effective population size (Ne)
the size of a genetically idealized
population with which an actual
population can be equated genetically, Ne
= N , if
equal sex ratio
equal probability of mating
constant dispersal rate
progeny per family randomly distributed
14. unequal sex ratio
Ne = 4 Nm˙Nf / (Nm + Nf )
population fluctuation
1 / Ne = (1 / t )(1/N1 + 1/N2 + … + 1/Nt)
non-random progeny distribution
Nk
Ne = -----------------------------------------
(N/N-1)˙Vk/k˙(1+F) + (1-F)
16. Extinction and its causes
Natural causes: climatic changes and
stochastic event
Human disturbance
habitat alteration
over-exploitation
exotic species
diseases and other factors