1. Temporal and dimensional effects in evolutionary graph theory
- Author
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Paley, C. J., Taraskin, S. N., and Elliott, S. R.
- Subjects
Quantitative Biology - Populations and Evolution - Abstract
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., Comment: 6 pages, 4 figures Replaced after final round of peer review
- Published
- 2006
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