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Transcript
Hardy-Weinberg theorem
Why is Hardy-Weinberg population said to be at
an equilibrium?
fr(A) = 0.2, fr(a) = 0.8
1
Allele fr. change
fr(a)
allele
freq.
fr(A)
0
time
Genotype fr. change
0.04 fr(Aa) = ______
0.32 , fr(aa) = ______
0.64
fr(AA) = _______,
genotype 1
freq.
fr(aa)
fr(Aa)
fr(AA)
0
time
Forces of evolution – any factors that change
ALLELE frequency in a population
1. Natural Selection
2. Genetic drift
3. Gene flow (~ migration)
4. Mutations
Microevolution = allele frequency change in a
population
Natural Selection
Fitness is the proportion of the individual's genes in
the gene pool of the next generation.
Relative fitness (w): 1≥w≥0
Selection coefficient (s)
fitness:
w + s=1; w = 1 - s
AA
Aa
aa
1-s1
1
1-s2
equilibrium: allele frequencies no longer change
q = frequency of a allele at equilibrium
Modes of Natural Selection
1. Directional selection for the dominant phenotype
AA
Aa
aa
2. Directional selection for the recessive phenotype
AA
Aa
aa
3. Balancing selection
AA
Aa
aa
4. Selection against heterozygotes, disruptive
AA
Aa
aa
5. Frequency dependant selection
1. Directional selection for the dominant phenotype
Examples:
AA
Aa
aa
recessive genetic disorders
Phenylketonuria (pp);
Maple syrup urine disease (mm)
Thalassemia (tt)
fr(A) = 0.2, fr(a) = 0.8
Allele fr. change
allele
freq.
1
fr(a)
fr(A)
fr(A)
0
fr(a)
q=0
time
Recessive alleles never disappear completely
Recessive allele “hides” in heterozygous individuals
2. Directional selection for the recessive phenotype
AA
1
Aa
aa
Allele fr. change
fr(a)
allele
freq.
q=1
fr(A)
0
time
Dominant alleles are rapidly eliminated
Directional selection for the recessive phenotype
Examples:
achondroplastic Dwarfism (D)
von Willebrand disease (coagulation disorder)
Porphyria
Albinism among Hopi of
Arizona and Zuni of New
Mexico
selection for albinos
Color blindness
3. Balancing selection
AA
Aa
aa
fr(A) = 0.2, fr(a) = 0.8
1
Allele fr. change
allele
freq.
fr(A) = fr(a)
0
Aa x Aa
A
a
A AA
Aa
Aa
aa
a
time
Genotype fr. change
fr(AA) Æ = 0.25
fr(aa) Æ = 0.25
fr(Aa) Æ = 0.5
Balancing selection leads to polymorphism
3. Balancing selection
Example: sickle cell anemia in malaria risk areas
HH
might die
from malaria
Hs
resistant to
malaria
no anemia
ss
dies from
anemia
Plasmodium falciparum is a protozoan
parasite transmitted by mosquito