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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