Small world effects in evolution

Details Small world effects in evolution Small world effects in evolution

2000-07-28

arxiv.org/abs/cond-mat/0007458v3

Phys. Rev. E 64, 021914 (2001)

Physics

Condensed Matter

Statistical Mechanics

13 pages and 5 figures. New revised version

Scientific paper

10.1103/PhysRevE.64.021914

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.

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