Error threshold in finite populations

Details Error threshold in finite populations Error threshold in finite populations

1997-09-23

arxiv.org/abs/cond-mat/9709247v6

Phys. Rev. E, vol.57, number 6, june 1998

Physics

Condensed Matter

Statistical Mechanics

14 pages and 4 figures

Scientific paper

10.1103/PhysRevE.57.7008

A simple analytical framework to study the molecular quasispecies evolution of finite populations is proposed, in which the population is assumed to be a random combination of the constiyuent molecules in each generation,i.e., linkage disequilibrium at the population level is neglected. In particular, for the single-sharp-peak replication landscape we investigate the dependence of the error threshold on the population size and find that the replication accuracy at threshold increases linearly with the reciprocal of the population size for sufficiently large populations. Furthermore, in the deterministic limit our formulation yields the exact steady-state of the quasispecies model, indicating then the population composition is a random combination of the molecules.

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