Effects of recombination on the evolvability, genetic diversity and mutational robustness of neutrally evolving populations
Many effects attributed to recombination have been invoked to explain the advantage of sex. The most prominent arguments focus on either evolvability, genetic diversity, or mutational robustness to justify why the benefit of recombination overcomes its costs, with partially contradicting results. As a consequence, understanding which aspects of recombination are most important in a given situation remains an open problem for theoretical and experimental research. In this study, we focus on finite populations evolving on neutral networks, which already display remarkably complex behavior. We aim to provide a comprehensive overview of the effects of recombination by jointly considering different measures of evolvability, genetic diversity, and mutational robustness over a broad parameter range, such that many evolutionary regimes are covered. We find that several of these measures vary non-monotonically with the rates of mutation and recombination. Moreover, the presence of lethal genotypes that introduce inhomogeneities in the network of viable states qualitatively alters the effects of recombination. We conclude that conflicting trends induced by recombination can be explained by an emerging trade-off between evolvability and genetic diversity on the one hand, and mutational robustness and fitness on the other. Finally, we discuss how different implementations of the recombination scheme in theoretical models can affect the observed dependence on recombination rate through a coupling between recombination and genetic drift.