I evolved boolean regulatory networks in a computer simulation. I varied mu
tation, recombination, the size of the network, and the number of connectio
ns per node. I measured the performance of networks and the heritability an
d epistasis of genetic effects. Networks of intermediate connectivity perfo
rmed best. The distinction between metabolic and quantitative genetic addit
ivity explained some of the variation in performance. Metabolic additivity
describes the interaction between changes in a single network, whereas quan
titative genetic additivity measures the consistency of phenotypic effect c
aused by gene substitution in randomly chosen members of the population. I
analysed metabolic additivity by the distribution of epistatic effects of p
airs of mutations in individual networks. I measured quantitative genetic a
dditivity by heritability. Highly connected networks had greater metabolic
additivity for perturbations to individual networks, but had lower additivi
ty when measured by the average effect of a gene substitution (heritability
). The lower heritability of highly connected nets appeared to reduce the e
ffectiveness of recombination in searching evolutionary space. (C) 1999 Aca
demic Press.