title: Genetic correlations in mutation processes.
abstract: We study the role of phylogenetic trees on correlations in mutation processes. Generally, correlations decay exponentially with the generation number. We find that two distinct regimes of behavior exist. For mutation rates smaller than a critical rate, the underlying tree morphology is almost irrelevant, while mutation rates higher than this critical rate lead to strong tree-dependent correlations. We show analytically that identical critical behavior underlies all multiple point correlations. This behavior generally characterizes branching processes undergoing mutation.
authors.affiliation: Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: E
authors.initials: E
authors.lastname: Ben-Naim
authors.forename: A S
authors.initials: AS
authors.lastname: Lapedes
mesh_terms: D005823:Genetics; D015233:Models, Statistical; D009154:Mutation; D010802:Phylogeny