Measuring
Evolution of Populations
Genetic variations in populations
 Genetic variation and evolution are both studied in populations.
 Because members of a population interbreed, they share a common
group of genes called a gene pool.
 Gene pools consist of all the genes, including the different alleles for
each gene, that are present in a population
 Allele Frequency – the number of times an allele occurs in a gene
pool, compared to the total number of alleles in that pool for the same
gene
 EVOLUTION, IN GENETIC TERMS, INVOLVES A CHANGE IN THE
FREQUENCY OF ALLELES IN A POPULATION OVER TIME!!!
Genetic Drift
 In small populations, individuals that carry a particular allele may leave more
descendant than other individuals, just by chance.
 Over time, a series of chance occurrences can cause an allele to become more or less
common in a population.
 This kid of random change in allele frequency is called genetic drift.
 Tends to reduce genetic variation
 Tends to take place in smaller populations
 Two different models for genetic drift: bottleneck effect & founders effect
Figure 23.7
CR
CR
CR
CW
CR
CR
CW
CW
CR
CR
CR
CW
CR
CW
CR
CW
CR
CR
CR
CR
Only 5 of
10 plants
leave
offspring
CW
CW
CR
CR
CR
CW
CR
CR CW
CW
CR
CW
CW
CW
CR
CR
CR
CW CR
CW
Only 2 of
10 plants
leave
offspring
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
CR
Generation 2
p = 0.5
q = 0.5
Generation 3
p = 1.0
q = 0.0
Generation 1
p (frequency of CR
) = 0.7
q (frequency of CW
) = 0.3
The Bottleneck Effect
 A sudden change in the environment (ex: natural
disaster) may drastically reduce the size of a
population
 Wipes out a random part of the population
 The gene pool may no longer be reflective of the
original population’s gene pool
Original
population
Bottlenecking
event
Surviving
population
Figure 23.8 A
(a)
Shaking just a few marbles through the
narrow neck of a bottle is analogous to a
drastic reduction in the size of a population
after some environmental disaster. By chance,
blue marbles are over-represented in the new
population and gold marbles are absent.
The Founder Effect
 The founder effect
 Occurs when a few individuals become
isolated from a larger population
 Migrate to another area
 Can affect allele frequencies in a population
5 Agents of evolutionary change
Mutation Gene Flow
Genetic Drift Selection
Non-random mating
Evolution of populations
 Evolution = change in allele frequencies
in a population
 hypothetical: what conditions would
cause allele frequencies to not change?
 non-evolving population
REMOVE all agents of evolutionary change
1. very large population size (no genetic drift)
2. no migration (no gene flow in or out)
3. no mutation (no genetic change)
4. random mating (no sexual selection)
5. no natural selection (everyone 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
W. Weinberg
physician
G.H. Hardy
mathematician
Hardy-Weinberg theorem
 Counting Alleles
 assume 2 alleles = B, b
 frequency of dominant allele (B) = p
 frequency of recessive allele (b) = q
 frequencies must add to 1 (100%), so:
p + q = 1
bb
Bb
BB
Hardy-Weinberg theorem
 Counting Individuals
 frequency of homozygous dominant: p x p = p2
 frequency of homozygous recessive: q x q = q2
 frequency of heterozygotes: (p x q) + (q x p) = 2pq
 frequencies of all individuals must add to 1 (100%), so:
p2
+ 2pq + q2
= 1
bb
Bb
BB
H-W formulas
 Alleles: p + q = 1
 Individuals: p2
+ 2pq + q2
= 1
bb
Bb
BB
BB
B b
Bb bb
What are the genotype frequencies?
Using Hardy-Weinberg equation
q2
(bb): 16/100 = .16
q (b): √.16 = 0.4
0.4
p (B): 1 - 0.4 = 0.6
0.6
population:
100 cats
84 black, 16 white
How many of each
genotype?
bb
Bb
BB
p2
=.36 2pq=.48 q2
=.16
Must assume population is in H-W
equilibrium!
Using Hardy-Weinberg equation
bb
Bb
BB
p2
=.36 2pq=.48 q2
=.16
Assuming
H-W equilibrium
Sampled data
bb
Bb
BB
p2
=.74 2pq=.10 q2
=.16
How do you
explain the data?
p2
=.20 2pq=.64 q2
=.16
How do you
explain the data?
Null hypothesis
Application of H-W principle
 Sickle cell anemia
 inherit a mutation in gene coding for
hemoglobin
 oxygen-carrying blood protein
 recessive allele = Hs
Hs
 normal allele = Hb
 low oxygen levels causes
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 = Hb
Hs
 unusual for allele with severe
detrimental effects in homozygotes
 1 in 100 = Hs
Hs
 usually die before reproductive age
Why is the Hs
allele maintained at such high
levels in African populations?
Suggests some selective advantage of
being heterozygous…
Malaria Single-celled eukaryote parasite
(Plasmodium) spends part of its
life cycle in red blood cells
1
2
3
Heterozygote Advantage
 In tropical Africa, where malaria is common:
 homozygous dominant (normal) die of malaria: Hb
Hb
 homozygous recessive die of sickle cell anemia: Hs
Hs
 heterozygote carriers are relatively free of both: Hb
Hs
 survive more, more common in population
Hypothesis:
In malaria-infected
cells, the O2 level is
lowered enough to
cause sickling which
kills the cell &
destroys the parasite.
Frequency of sickle cell allele &
distribution of malaria

HW equilibrium .ppt

  • 1.
  • 2.
    Genetic variations inpopulations  Genetic variation and evolution are both studied in populations.  Because members of a population interbreed, they share a common group of genes called a gene pool.  Gene pools consist of all the genes, including the different alleles for each gene, that are present in a population  Allele Frequency – the number of times an allele occurs in a gene pool, compared to the total number of alleles in that pool for the same gene  EVOLUTION, IN GENETIC TERMS, INVOLVES A CHANGE IN THE FREQUENCY OF ALLELES IN A POPULATION OVER TIME!!!
  • 3.
    Genetic Drift  Insmall populations, individuals that carry a particular allele may leave more descendant than other individuals, just by chance.  Over time, a series of chance occurrences can cause an allele to become more or less common in a population.  This kid of random change in allele frequency is called genetic drift.  Tends to reduce genetic variation  Tends to take place in smaller populations  Two different models for genetic drift: bottleneck effect & founders effect Figure 23.7 CR CR CR CW CR CR CW CW CR CR CR CW CR CW CR CW CR CR CR CR Only 5 of 10 plants leave offspring CW CW CR CR CR CW CR CR CW CW CR CW CW CW CR CR CR CW CR CW Only 2 of 10 plants leave offspring CR CR CR CR CR CR CR CR CR CR CR CR CR CR CR CR CR CR CR CR Generation 2 p = 0.5 q = 0.5 Generation 3 p = 1.0 q = 0.0 Generation 1 p (frequency of CR ) = 0.7 q (frequency of CW ) = 0.3
  • 4.
    The Bottleneck Effect A sudden change in the environment (ex: natural disaster) may drastically reduce the size of a population  Wipes out a random part of the population  The gene pool may no longer be reflective of the original population’s gene pool Original population Bottlenecking event Surviving population Figure 23.8 A (a) Shaking just a few marbles through the narrow neck of a bottle is analogous to a drastic reduction in the size of a population after some environmental disaster. By chance, blue marbles are over-represented in the new population and gold marbles are absent.
  • 5.
    The Founder Effect The founder effect  Occurs when a few individuals become isolated from a larger population  Migrate to another area  Can affect allele frequencies in a population
  • 6.
    5 Agents ofevolutionary change Mutation Gene Flow Genetic Drift Selection Non-random mating
  • 7.
    Evolution of populations Evolution = change in allele frequencies in a population  hypothetical: what conditions would cause allele frequencies to not change?  non-evolving population REMOVE all agents of evolutionary change 1. very large population size (no genetic drift) 2. no migration (no gene flow in or out) 3. no mutation (no genetic change) 4. random mating (no sexual selection) 5. no natural selection (everyone is equally fit)
  • 8.
    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 W. Weinberg physician G.H. Hardy mathematician
  • 9.
    Hardy-Weinberg theorem  CountingAlleles  assume 2 alleles = B, b  frequency of dominant allele (B) = p  frequency of recessive allele (b) = q  frequencies must add to 1 (100%), so: p + q = 1 bb Bb BB
  • 10.
    Hardy-Weinberg theorem  CountingIndividuals  frequency of homozygous dominant: p x p = p2  frequency of homozygous recessive: q x q = q2  frequency of heterozygotes: (p x q) + (q x p) = 2pq  frequencies of all individuals must add to 1 (100%), so: p2 + 2pq + q2 = 1 bb Bb BB
  • 11.
    H-W formulas  Alleles:p + q = 1  Individuals: p2 + 2pq + q2 = 1 bb Bb BB BB B b Bb bb
  • 12.
    What are thegenotype frequencies? Using Hardy-Weinberg equation q2 (bb): 16/100 = .16 q (b): √.16 = 0.4 0.4 p (B): 1 - 0.4 = 0.6 0.6 population: 100 cats 84 black, 16 white How many of each genotype? bb Bb BB p2 =.36 2pq=.48 q2 =.16 Must assume population is in H-W equilibrium!
  • 13.
    Using Hardy-Weinberg equation bb Bb BB p2 =.362pq=.48 q2 =.16 Assuming H-W equilibrium Sampled data bb Bb BB p2 =.74 2pq=.10 q2 =.16 How do you explain the data? p2 =.20 2pq=.64 q2 =.16 How do you explain the data? Null hypothesis
  • 14.
    Application of H-Wprinciple  Sickle cell anemia  inherit a mutation in gene coding for hemoglobin  oxygen-carrying blood protein  recessive allele = Hs Hs  normal allele = Hb  low oxygen levels causes RBC to sickle  breakdown of RBC  clogging small blood vessels  damage to organs  often lethal
  • 15.
    Sickle cell frequency High frequency of heterozygotes  1 in 5 in Central Africans = Hb Hs  unusual for allele with severe detrimental effects in homozygotes  1 in 100 = Hs Hs  usually die before reproductive age Why is the Hs allele maintained at such high levels in African populations? Suggests some selective advantage of being heterozygous…
  • 16.
    Malaria Single-celled eukaryoteparasite (Plasmodium) spends part of its life cycle in red blood cells 1 2 3
  • 17.
    Heterozygote Advantage  Intropical Africa, where malaria is common:  homozygous dominant (normal) die of malaria: Hb Hb  homozygous recessive die of sickle cell anemia: Hs Hs  heterozygote carriers are relatively free of both: Hb Hs  survive more, more common in population Hypothesis: In malaria-infected cells, the O2 level is lowered enough to cause sickling which kills the cell & destroys the parasite. Frequency of sickle cell allele & distribution of malaria

Editor's Notes

  • #8 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?"
  • #13 Sampled data 1: Hybrids are in some way weaker. Immigration in from an external population that is predomiantly homozygous B Non-random mating... white cats tend to mate with white cats and black cats tend to mate with black cats. Sampled data 2: Heterozygote advantage. What’s preventing this population from being in equilibrium.
  • #15 Sickle Cell: In tropical Africa, where malaria is common, the sickle-cell allele is both an advantage & disadvantage. Reduces infection by malaria parasite. Cystic fibrosis: Cystic fibrosis carriers are thought to be more resistant to cholera: 1:25, or 4% of Caucasians are carriers Cc