NS 07-04

Natural Selection on semi- & incompletely dominant phenotypes with Additive allele effects

    In classical genetics, if the phenotype of the AB genotype is intermediate between AA & BB, but closer to that of the AA than the AB genotype, A is described as incompletely dominant to B. If the AB phenotype is precisely intermediate between that of the two homozygous genotypes, A and B are described as semi-dominant.

    With respect to fitness phenotypes, semi-dominance occurs for example when genotypes AA, AB, & BB are assigned selection coefficients sAA = 0.0, sAa = 0.2, and saa = 0.4. In the general model, the fitness values would be written as WAA = 1, WAa = (1 - s), and Waa = (1 - 2s), where s = 0.2.
That is, each B allele contributes an additive selective disadvantage of s = 0.2, so that a BB homozygote is at twice the disadvantage of the AB heterozygote.

    In the table below,
let initial f(A) = 0.01. Note that if s > 0.5, fitness of AB heterozygotes W2 < 0 and therefore undefined. At s = 0.5, the alternative B allele is semi-lethal. Compare this model with that for multiplicative Genic Selection.

     Note once again that A is semi-dominant to B, not because it has superior fitness (and might be said to "dominate" the other allele), but because the AB phenotype is intermediate between that of the AA and BB. Dominance is a genotypic, not a phenotypic, relationship.

    Simple additive dominance may be typical at many gene loci, where the phenotype is a consequence of the equal contribution of both alleles, for example the amount of gene product. Incomplete dominance may also be typical at other gene loci, where the phenotype is more strongly influenced by one allele than the other. For example, given a null allele that produces no gene product, the standard allele may be "up-regulated" so that the amount of gene product in the AB heterozygote is (much) closer to that of the AA homozygote. It remains a point of contention in evolutionary genetics what fraction of heterozygous gene loci have little or no measurable effect on the observed phenotype. The so-called "Neutralist - Selectionist" controversy will be discussed elsewhere in the course.
 
HOMEWORK:
(1) For an initial f(A) = 0.01 and s
0.5, use the GSM worksheet in Excel to run the (1) Additive and (2) Genic selection models in the table below. At what values do the curves deviate and (or) converge on each other? Why?
(2) For an initial f(A) = 0.01 and s = 1/10 of the values below [i.e., shift the decimal in s one place to the right for
s 0.5], again use the GSM Worksheet to run the (3) Incomplete Dominance model.
(3) How do you interpret the values obtained for s > 0.5.

Additive vs
              Genic selection

Figure © 2013 by Sinauer; Table & text material © 2022 by Steven M. Carr