Temporal and dimensional effects in evolutionary graph theory

Details Temporal and dimensional effects in evolutionary graph theory Temporal and dimensional effects in evolutionary graph theory

2006-04-08

arxiv.org/abs/q-bio/0604009v3

Phys. Rev. Lett. 98, 098103 (2007)

Biology

Quantitative Biology

Populations and Evolution

6 pages, 4 figures Replaced after final round of peer review

Scientific paper

10.1103/PhysRevLett.98.098103

The spread in time of a mutation through a population is studied analytically and computationally in fully-connected networks and on spatial lattices. The time, t_*, for a favourable mutation to dominate scales with population size N as N^{(D+1)/D} in D-dimensional hypercubic lattices and as N ln N in fully-connected graphs. It is shown that the surface of the interface between mutants and non-mutants is crucial in predicting the dynamics of the system. Network topology has a significant effect on the equilibrium fitness of a simple population model incorporating multiple mutations and sexual reproduction. Includes supplementary information.

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