Bagnoli, F. and Bezzi, M. Small world effects in evolution. Phys. Review E, 64, 2001.

Sony CSL authors: Michele Bezzi

Abstract

For asexual organisms point mutations correspond to local displacements in the genotypic space, while other genotypic rearrangements represent long-range jumps. We investigate the spreading properties of an initially homogeneous population in a flat fitness landscape, and the equilibrium properties on a smooth fitness landscape. We show that a small-world effect is present: even a small fraction of quenched long-range jumps makes the results indistinguishable from those obtained by assuming all mutations equiprobable. Moreover, we find that the equilibrium distribution is a Boltzmann one, in which the fitness plays the role of an energy, and mutations that of a temperature.

Keywords: genotypic, rearrangements, mutation, jumps, Boltzmann

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BibTeX entry

@ARTICLE { bezzi:01a, AUTHOR="Bagnoli, F. and Bezzi, M.", JOURNAL="Phys. Review E", TITLE="Small world effects in evolution", VOLUME="64", YEAR="2001", }