Temporal and dimensional effects in evolutionary graph theory
种群与进化
2007-05-23 v3
摘要
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.
引用
@article{arxiv.q-bio/0604009,
title = {Temporal and dimensional effects in evolutionary graph theory},
author = {C. J. Paley and S. N. Taraskin and S. R. Elliott},
journal= {arXiv preprint arXiv:q-bio/0604009},
year = {2007}
}
备注
6 pages, 4 figures Replaced after final round of peer review