Associative overdominance: evaluating the effects of inbreeding and linkage disequilibrium
Associative overdominance: evaluating the effects of inbreeding and linkage disequilibrium
E. Zouros
Department of Biology, Dalhousie University, Halifax,
N.S., Canada, B3H 4J1 and Department of Biology, University
of Crete, Iraklion, Crete, Greece
Received and accepted 27 April 1993
Key words: heterozygosity, associative overdominance,
inbreeding, linkage disequilibrium
Abstract
Expressions are obtained for the expected phenotypic
values of homozygous and heterozy-ous genotypes for
a neutral marker locus linked to a locus segregating
for a recessive deleterious gene. The phenotypic values
are functions of the allele frequencies at the marker
locus, the inbreeding coefficient and the degree of
association of the deleterious gene with the marker
alleles. The analysis is extended to more than two
alleles at the marker locus. Either linkage disequilibrium
or inbreeding alone can produce an apparent superiority
of heterozygotes for the marker locus (unless specified
otherwise, the terms 'homozygote' and 'heterozygote'
will refer to the marker locus). The effect of linkage
disequilibrium on the difference between the heterozygote
and homozygote values can be positive (associative
overdominance) or negative (associative underdominance),
depending on the frequencies of the marker alleles
and the degree of their association with the deleterious
gene. Inbreeding has always a positive effect. In
the presence of both, the possibility of associative
overdominance due to linkage disequilibrium is higher.
In general, the expected value of a homozygote is
a positive function of its allele frequency. When
the various homozygous genotypes are combined into
one class and the various heterozygous genotypes into
another, the phenotypic difference of the two classes
is a function of the evenness of the allelic frequency
distribution. Inbreeding is a more likely explanation
of associative overdominance if the frequency of the
deleterious gene is low, but its effect on the character
high. Conversely, linkage disequilibrium is more likely
if the frequency is high and the effect low. The degrees
of association between marker alleles and the deleterious
gene can, in principle, be estimated from the observed
phenotypic scores and used to calculate expected multi-locus
genotype scores. This could provide the basis for
statistical tests of the associative overdominance
hypothesis as an explanation of observed correlations
between multi-locus heterozygosity and phenotypic traits.
Genetica 89: 35-46, 1993.