An "adaptive dynamics" modelling approach to the evolution of dominance-rec
essivity is presented. In this approach, fitness derives from an explicit e
cological scenario, and both evolutionary attractivity and invasibility of
resident populations are examined.
The ecology consists of a within-individual part representing a locus with
regulated activity and a between-individual part that is a two-patch soft s
election model. Evolutionary freedom is allowed at a single locus. The evol
utionary analysis considers directed random walks on trait space, generated
by repeated invasions of mutants.
The phenotype of an individual is determined by allelic parameters. Mutatio
ns can have two effects: they either affect the affinity of the promoter se
quence for transcription factors, or they affect the gene product. The domi
nance interaction between alleles derives from their promoter affinities.
Additive genetics is evolutionarily unstable when selection and evolution m
aintain two alleles in the population. In such a situation, dominance inter
actions can become stationary and close to additive genetics or they contin
ue to evolve at a very slow pace towards dominance-recessivity. The probabi
lity that a specific dominance interaction will evolve depends on the relat
ive mutation rate of promoter compared to gene product and the distribution
of mutational effect sizes. Either allele in the dimorphism can become dom
inant, and dominance-recessivity is always most likely to evolve. Evolution
then approaches a population state where every phenotype has maximum viabi
lity in one of the two patches.
When the within-individual part is replaced by a housekeeping locus that co
des for a metabolic enzyme, evolution favours a population of two alleles u
nder the same conditions as for a regulated locus. In the case of a houseke
eping gene, however, the evolutionary dynamical system approaches a populat
ion state where the heterozygote and only one homozygote phenotype are equi
valent to the optimum phenotypes in the two patches. (C) 1999 Academic Pres
s.