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