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Measuring Evolution of Populations
5 Agents of evolutionary change Mutation Gene Flow Genetic Drift Selection Non-random mating
Populations & gene pools ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Evolution of populations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Hardy-Weinberg equilibrium ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],W. Weinberg physician G.H. Hardy mathematician
Hardy-Weinberg theorem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],bb Bb BB
Hardy-Weinberg theorem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],bb Bb BB
H-W formulas ,[object Object],[object Object],bb Bb BB BB B b Bb bB bb
Using Hardy-Weinberg equation What are the genotype frequencies? q 2  (bb): 16/100 = .16 q  (b): √.16 =  0.4 p  (B): 1 - 0.4 =  0.6 population:  100 cats 84 black, 16 white How many of each genotype? bb Bb BB p 2 =.36 2pq =.48 q 2 =.16 Must assume population is in H-W equilibrium!
Any Questions?? Any Questions?? Any Questions??

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Hardy Weinberg Populations

  • 2. 5 Agents of evolutionary change Mutation Gene Flow Genetic Drift Selection Non-random mating
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. Using Hardy-Weinberg equation What are the genotype frequencies? q 2 (bb): 16/100 = .16 q (b): √.16 = 0.4 p (B): 1 - 0.4 = 0.6 population: 100 cats 84 black, 16 white How many of each genotype? bb Bb BB p 2 =.36 2pq =.48 q 2 =.16 Must assume population is in H-W equilibrium!
  • 10. Any Questions?? Any Questions?? Any Questions??

Hinweis der Redaktion

  1. G.H. Hardy (the English mathematician) and W. Weinberg (the German physician) independently worked out the mathematical basis of population genetics in 1908. Their formula predicts the expected genotype frequencies using the allele frequencies in a diploid Mendelian population. They were concerned with questions like "what happens to the frequencies of alleles in a population over time?" and "would you expect to see alleles disappear or become more frequent over time?"