The relationship between robustness and evolution
Canalization involves mutational robustness, the lack of phenotypic change as a result of genetic mutations. Given the large divergence in phenotype across species, understanding the relationship between high robustness and evolvability has been of interest to both theorists and experimentalists. Although canalization was originally proposed in the context of multicellular organisms, the effect of multicellularity on evolvability has not been considered by theoreticians. We address this issue using a Boolean population model with explicit representation of an environment in which multicellular individuals with explicit genotype and phenotype evolve. Robustness is described by a single real number between zero and one. We find that high robustness is favored in constant environments, and lower robustness is favored after environmental change. Multicellularity severely constrains robustness: peak evolvability occurs at an absolute level of robustness of about 0.99 compared with values of about 0.5 in a classical neutral network model. Multicellularity results in a sharp peak of evolvability in which the maximum is set by the fact that the fixation of adaptive mutations becomes more improbable as robustness decreases. When robustness is put under genetic control, robustness levels leading to maximum evolvability are selected for, but maximal relative fitness appears to require recombination.