Fundamental Properties of the Evolution of Mutational Robustness

TL;DR

This paper explores how mutational robustness evolves in genetic systems, revealing geometric factors influencing robustness, the impact of mutation types, and the limits of population fitness decline at high mutation rates.

Contribution

It generalizes the understanding of mutational robustness beyond neutral networks to include arbitrary selection and transmission, highlighting geometric influences and the effects of mutation types.

Findings

Geometric features determine mutational robustness via eigenvector alignment.

House of cards

Abstract

Evolution on neutral networks of genotypes has been found in models to concentrate on genotypes with high mutational robustness, to a degree determined by the topology of the network. Here analysis is generalized beyond neutral networks to arbitrary selection and parent-offspring transmission. In this larger realm, geometric features determine mutational robustness: the alignment of fitness with the orthogonalized eigenvectors of the mutation matrix weighted by their eigenvalues. "House of cards" mutation is found to preclude the evolution of mutational robustness. Genetic load is shown to increase with increasing mutation in arbitrary single and multiple locus fitness landscapes. The rate of decrease in population fitness can never grow as mutation rates get higher, showing that "error catastrophes" for genotype frequencies never cause precipitous losses of population fitness. The "inclusive inheritance" approach taken here naturally extends these results to a new concept of dispersal robustness.