title: Temporal and dimensional effects in evolutionary graph theory.
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 favorable mutation to dominate scales with the population size N as N(D+1)/D in D-dimensional hypercubic lattices and as NlnN in fully-connected graphs. It is shown that the surface of the interface between mutants and nonmutants 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.
authors.affiliation: Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.
authors.forename: C J
authors.initials: CJ
authors.lastname: Paley
authors.forename: S N
authors.initials: SN
authors.lastname: Taraskin
authors.forename: S R
authors.initials: SR
authors.lastname: Elliott
mesh_terms: D000465:Algorithms; D005075:Biological Evolution; D040961:Genetic Drift; D005828:Genetics, Population; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical; D009154:Mutation; D010641:Phenotype; D011157:Population Dynamics; D012098:Reproduction / Q000235:genetics; D012641:Selection, Genetic