  Genetic redundancy is ubiquitous and can be found in any organism. However,
it has been argued that genetic redundancy reduces total population fitness,
and therefore, redundancy is unlikely to evolve. In this letter, we study an
evolutionary model with high-dimensional genotype-phenotype mapping (GPM) to
investigate the relevance of complexity in GPM to the evolution of genetic
redundancy. By applying the replica method to deal with quenched randomness,
the redundancy dependence of the fitness is analytically obtained, which
demonstrates that genetic redundancy can indeed evolve, provided that the GPM
is complex. Our result provides a novel insight into how genetic redundancy
evolves.
