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1 
Dan Graur 
University of Houston
2 
Overdominance 
Genotype A1A1 A1A2 A2A2 
Fitness w11 w12 > w11,w22 w22 
Frequency p2 2pq q2
3 
Underdominance 
Genotype A1A1 A1A2 A2A2 
Fitness w11 w12 < w11,w22 w22 
Frequency p2 2pq q2
4 
The change in the frequency of A2 from 
generation to generation is:
5 
At equilibrium, i.e., 
when Δq = 0. 
qˆ = 
s 
2s- t
overdominance underdominance 
s = 0.04 and t = 0.02 s = - 0.02 and t = - 0.01 
6
7 
Overdominant selection is inherently 
inefficient, even if the two homozygotes 
are not viable. 
Very 
expensive 
dog 
Cheap dog; 
mostly discarded 
Powderpuff Chinese Crested 
aa 
Aa 
AA
8 
The peculiar case of 
sickle-cell anemia
9
10 Glutamic acid Valine
mvhltpeeksavtalwgkvn 
vdevggealgrllvvypwtq 
rffesfgdlstpdavmgnpk 
vkahgkkvlgafsdglahld 
nlkgtfatlselhcdklhvd 
penfrllgnvlvcvlahhfg 
keftppvqaayqkvvagvan 
alahkyh 147aa 
11
mvhltpveksavtalwgkvn 
vdevggealgrllvvypwtq 
rffesfgdlstpdavmgnpk 
vkahgkkvlgafsdglahld 
nlkgtfatlselhcdklhvd 
penfrllgnvlvcvlahhfg 
keftppvqaayqkvvagvan 
alahkyh 147aa 
12
13 
“sticky” b globin
14
15
16
17 
Pleiotropic effects
18 
Intuitive Model: Directional Selection 
normal fitness 
HbHb =normal 
HbHs =sickle cell trait 
HsHs =sickle cell anemia 
somewhat reduced fitness 
reduced fitness
19
20 
In theory, the end result 
should have been 
directional selection — a 
drastic reduction in HS 
allele frequency in the 
population.
21 
In practice, the 
frequency of the 
HS allele may 
reach enormous 
values in some 
populations. 
>20%
Worldwide distribution of sickle-cell anemia 
22
23
24 
Plasmodium falciparum
How to test the hypothesis that 
sickle cell anemia is under 
balancing selection by using a the 
African slave trade as an 
evolutionary experiment
26 
An evolutionary “experiment”: Slave trade
27 
Surinam 
endemic malaria 
HS frequency = 20% 
Curaçau 
no malaria 
HS frequency = 5% 
West Africa Frequency >20% 
300 years = 10-15 generations
Genotype HH HHS HSHS 
Fitness 1 1.25 0.25 
•With malaria in the background, heterozygotes have 
a huge advantage over the wild type homozygotes. 
• In the absence of malaria, the heterozygotes have a 
slight disadvantage in comparison to wild type 
homozygotes. 
• The fitness of the HsHs homozygotes is not affected 
by the presence or absence of malaria. 
28
Modiano D, Luoni G, Sirima BS, Simpore J, Verra F, Konate A, 
Rastrelli E, Olivieri A, Calissano C, Paganotti GM, D'Urbano L, 
Sanou I, Sawadogo A, Modiano G, Coluzzi M. 2001. 
Haemoglobin C protects against clinical Plasmodium falciparum 
malaria. Nature 414:305-308. 
29 
A newly discovered allele that 
protects against malaria but does 
not have deleterious effects in 
homozygotes
E to V = HS 
E to K = HC 
30 
Hemoglobin C 
codon 
position 
6! 
Glutamic acid Lysine
Genotype HH HHS HSHS 
Fitness 1 1.25 0.25 
Genotype HH HHC HCHC 
Fitness 1 1.27 0.75 
31 
In the long term and in the presence of malaria, allele 
HbC is expected to replace alelle HbS in central West 
Africa.

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Balancing selection, sickle cell anemia, and the African slave trade as an evolutionary test of overdominant selection

  • 1. 1 Dan Graur University of Houston
  • 2. 2 Overdominance Genotype A1A1 A1A2 A2A2 Fitness w11 w12 > w11,w22 w22 Frequency p2 2pq q2
  • 3. 3 Underdominance Genotype A1A1 A1A2 A2A2 Fitness w11 w12 < w11,w22 w22 Frequency p2 2pq q2
  • 4. 4 The change in the frequency of A2 from generation to generation is:
  • 5. 5 At equilibrium, i.e., when Δq = 0. qˆ = s 2s- t
  • 6. overdominance underdominance s = 0.04 and t = 0.02 s = - 0.02 and t = - 0.01 6
  • 7. 7 Overdominant selection is inherently inefficient, even if the two homozygotes are not viable. Very expensive dog Cheap dog; mostly discarded Powderpuff Chinese Crested aa Aa AA
  • 8. 8 The peculiar case of sickle-cell anemia
  • 9. 9
  • 11. mvhltpeeksavtalwgkvn vdevggealgrllvvypwtq rffesfgdlstpdavmgnpk vkahgkkvlgafsdglahld nlkgtfatlselhcdklhvd penfrllgnvlvcvlahhfg keftppvqaayqkvvagvan alahkyh 147aa 11
  • 12. mvhltpveksavtalwgkvn vdevggealgrllvvypwtq rffesfgdlstpdavmgnpk vkahgkkvlgafsdglahld nlkgtfatlselhcdklhvd penfrllgnvlvcvlahhfg keftppvqaayqkvvagvan alahkyh 147aa 12
  • 14. 14
  • 15. 15
  • 16. 16
  • 18. 18 Intuitive Model: Directional Selection normal fitness HbHb =normal HbHs =sickle cell trait HsHs =sickle cell anemia somewhat reduced fitness reduced fitness
  • 19. 19
  • 20. 20 In theory, the end result should have been directional selection — a drastic reduction in HS allele frequency in the population.
  • 21. 21 In practice, the frequency of the HS allele may reach enormous values in some populations. >20%
  • 22. Worldwide distribution of sickle-cell anemia 22
  • 23. 23
  • 25. How to test the hypothesis that sickle cell anemia is under balancing selection by using a the African slave trade as an evolutionary experiment
  • 26. 26 An evolutionary “experiment”: Slave trade
  • 27. 27 Surinam endemic malaria HS frequency = 20% Curaçau no malaria HS frequency = 5% West Africa Frequency >20% 300 years = 10-15 generations
  • 28. Genotype HH HHS HSHS Fitness 1 1.25 0.25 •With malaria in the background, heterozygotes have a huge advantage over the wild type homozygotes. • In the absence of malaria, the heterozygotes have a slight disadvantage in comparison to wild type homozygotes. • The fitness of the HsHs homozygotes is not affected by the presence or absence of malaria. 28
  • 29. Modiano D, Luoni G, Sirima BS, Simpore J, Verra F, Konate A, Rastrelli E, Olivieri A, Calissano C, Paganotti GM, D'Urbano L, Sanou I, Sawadogo A, Modiano G, Coluzzi M. 2001. Haemoglobin C protects against clinical Plasmodium falciparum malaria. Nature 414:305-308. 29 A newly discovered allele that protects against malaria but does not have deleterious effects in homozygotes
  • 30. E to V = HS E to K = HC 30 Hemoglobin C codon position 6! Glutamic acid Lysine
  • 31. Genotype HH HHS HSHS Fitness 1 1.25 0.25 Genotype HH HHC HCHC Fitness 1 1.27 0.75 31 In the long term and in the presence of malaria, allele HbC is expected to replace alelle HbS in central West Africa.