D. Alves et Jf. Fontanari, ERROR THRESHOLD IN FINITE POPULATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(6), 1998, pp. 7008-7013
A simple analytical framework to study the molecular quasispecies evol
ution of finite populations is proposed, in which the population is as
sumed to be a random combination of the constituent molecules in each
generation; i.e., linkage disequilibrium at the population level is ne
glected. In particular, for the single-sharp-peak replication landscap
e we investigate the dependence of the error threshold on the populati
on size and find that the replication accuracy at the threshold increa
ses Linearly with the reciprocal of the population size for sufficient
ly large populations. Furthermore, in the deterministic limit our form
ulation yields the exact steady state of the quasispecies model, indic
ating then that the population composition is a random combination of
the molecules.