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We study evolutionary canalization using a spin-glass model with replicatheory, where spins and their interactions are dynamic variables whoseconfigurations correspond to phenotypes and genotypes, respectively. The spinsare updated under temperature T_S, and the genotypes evolve under temperatureT_J, according to the evolutionary fitness. It is found that adaptation occursat T_S < T_S^{RS}, and a replica symmetric phase emerges at T_S^{RSB} < T_S <T_S^{RS}. The replica symmetric phase implies canalization, and replicasymmetry breaking at lower temperatures indicates loss of robustness.

Replica symmetry breaking in an adiabatic spin-glass model of adaptive evolution