Notes
Slide Show
Outline
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The Evolution of Populations
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Population Genetics
  • Population genetics is the study of allele behaviour in populations.
  • A population is a group of interbreeding individuals of a single species.
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"Variation within a population"
  • Variation within a population
  • Discrete characteristics – Purple vs. White flower colours





  • Quantitative characters – (two or more genes) vary along a continuum
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"Nonheritable variation"
  • Nonheritable variation


  • Nemoria arizonaria moths








  • Fed oak flowers Fed oak leaves
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Sources of Genetic Variation
  • All new genes arise by mutation (point mutation) creates new codons and therefore new protein sequences
  • Sexual reproduction provides recombination (meiosis and crossing over) which produces endless genotypic variation in the population
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Sexual Recombination
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Hardy-Weinberg Theorem
  • This theorem describes a population that is not evolving.
  • That is the populations allelic frequency is not changing
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Gene pool and allelic frequencies
  • AA
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"This population of “circle..."
  • This population of “circle critters” has twenty members, and each member has two alleles, therefore there 40 alleles in the “gene pool”


  • The allelic frequency of A is 36/40=0.9
  • The allelic frequency of a is 4/40=0.1
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"Therefore"
  • Therefore
  • 90% of all the sperm will carry A
  • 10% of all the sperm will carry a
  • 90% of all the eggs will carry A
  • 10% of all the eggs will carry a
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We could set up a Punnett square with these gene frequencies.
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We could set up a Punnett square with these gene frequencies.
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We could set up a Punnett square with these gene frequencies.
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We could set up a Punnett square with these gene frequencies.
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We could set up a Punnett square with these gene frequencies.
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We could set up a Punnett square with these gene frequencies.
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Hardy-Weinberg formula
  • If p = frequency of allele A = 0.9
  • And q = frequency of allele a = 0.1
  • Then AA + 2Aa + aa = 1 would be
  • p2 + 2pq + q2 = 1
  • From the above example p = 0.9, and
  • q = 0.1
  • (0.9)2 + 2(0.9)(0.1) + (0.1)2 = 1
  • 0.81 + 0.18 + 0.01 = 1


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Therefore:
  • The term p2 = frequency of genotype AA = 0.81


  • The term 2pq = frequency of genotype Aa = 0.18


  • The term q2 = frequency of genotype aa = 0.01
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What if you know the genotypic frequency but you wish to calculate the frequency of the alleles in a population?
  • Lets say aa represents blond hair,
  • and 4% of a population have blond hair.
  • Therefore aa = 0.04
  • We know that q2 = the frequency of aa


  • Therefore q =


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What if you know the genotypic frequency but you wish to calculate the frequency of the alleles in a population?
  • Lets say aa represents blond hair,
  • and 4% of a population have blond hair.
  • Therefore aa = 0.04
  • We know that q2 = the frequency of aa


  • Therefore q =      0.04     = 0.2


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What if you know the genotypic frequency but you wish to calculate the frequency of the alleles in a population?
  • Lets say aa represents blond hair,
  • and 4% of a population have blond hair.
  • Therefore aa = 0.04
  • We know that q2 = the frequency of aa


  • Therefore q =      0.04     = 0.2
  • Recall that p + q =1


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What if you know the genotypic frequency but you wish to calculate the frequency of the alleles in a population?
  • Lets say aa represents blond hair,
  • and 4% of a population have blond hair.
  • Therefore aa = 0.04
  • We know that q2 = the frequency of aa


  • Therefore q =      0.04     = 0.2
  • Recall that p + q =1
  • If q = 0.2, then 1 - 0.2 = p = 0.8


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By substituting into the Hardy-Weinberg equation
  • p2 + 2pq + q2 = 1
  • (0.8)2 + 2(0.8)(0.2) + (0.2)2 = 1
  • AA = 0.64
  • Aa = 0.32
  • aa = 0.04
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What are the conditions of the Hardy-Weinberg Theorem ?
  • The population must be large
  • Mutations must not occur
  • There must be no immigration or emigration
  • Reproduction must be random
  • There must be no natural selection
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Genetic Drift
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The Bottleneck Effect
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Bottleneck of the Cheetah
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Cheetah Distribution
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Gene flow: Migration
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Nonrandom Mating
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Causes of Microevolution
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Patterns of Natural Selection
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"Directional Selection"
  • Directional Selection
    The British Peppared Moth
    Biston betularia
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Directional Selection
-The British Peppared Moth
Biston betularia
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Directional Selection
-The British Peppared Moth
Biston betularia
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Adaptive Evolution
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Sexual Selection
  • Sexual Dimorphism
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Intrasexual selection
  • Selection “within the same sex”.  Male compete with each other for females.
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Intersexual Selection
  • Also called “mate choice”.  Often female choose the males.
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Why Sex?
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Reproductive handicap of sex
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What advantage does sex provide?
  • “Changing the locks” – bacterial pathogens and the antigens they bind to.
  • “Red Queen race” – Co-evolution of host parasite interactions.
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The Preservation of Genetic Variation
  • Diploidy – genetic variation hidden from selection by recessive alleles.
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Balancing Selection
  • Heterozygotic Advantage- Sickle Cell Anemia


  • Hemoglobin Hs
  • Hemoglobin Ha
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Sickle Cell Anemia
  • Hemoglobin Hs
  • Hemoglobin Ha
  • If Ha was 0.8 =p and Hs was 0.2 = q
  • Then from the Hardy-Weinberg equation
  • p2  +    2pq   +  q2 = 1


  • Ha Ha    Ha Hs     Hs Hs
  • 0.64 +  0.32  + 0.04 = 1
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"But before the next generation..."
  • But before the next generation Hs Hs  would
  • likely die and not be available to reproduce.


  • Therefore 0.64 = Ha Ha
  • 0.32 = Ha Hs
  • Total    0.96


  • Now  0.64/0.96 = 0.66 = Ha Ha
  • and 0.32/0.96 = 0.33 = Ha Hs
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Malaria Plasmodium sp.
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Frequency-Dependent Selection
  • The fitness of a phenotype declines if it becomes too common in the population.
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"Neutral Variation"
  • Neutral Variation
  • Not all traits have an impact on reproductive success