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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
 Bisexual population
 Large population
 Random mating
 No mutation
 Migration ~ 0
 Natural selection does not affect the
locus
 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
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
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
 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
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
 Stabilizing, directional, diversifying or
disruptive evolution
 Speciation
 Allopatric speciation
 Sympatric speciation
Isolation mechanism
 Pre-zygotic: habitat, temporal,
ethological, mechanical
 Post-zygotic
 hybrid inviability or weakness
 hybrid sterility
 F2 breakdown
Reduction in variation
 inbreeding, bottlenecks, founder effect,
genetic drift
 genetic drift - random shifts in allele
frequencies
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
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
 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)
Effect of continental drift
 Distribution/radiation of monotremes
and marsupials
Extinction and its causes
 Natural causes: climatic changes and
stochastic event
 Human disturbance
 habitat alteration
 over-exploitation
 exotic species
 diseases and other factors

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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
  • 8.  Stabilizing, directional, diversifying or disruptive evolution  Speciation  Allopatric speciation  Sympatric speciation
  • 9.
  • 10. Isolation mechanism  Pre-zygotic: habitat, temporal, ethological, mechanical  Post-zygotic  hybrid inviability or weakness  hybrid sterility  F2 breakdown
  • 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)
  • 15. Effect of continental drift  Distribution/radiation of monotremes and marsupials
  • 16. Extinction and its causes  Natural causes: climatic changes and stochastic event  Human disturbance  habitat alteration  over-exploitation  exotic species  diseases and other factors