title: Phase change for the accuracy of the median value in estimating divergence time.
abstract: We prove that for general models of random gene-order evolution of k ≥ 3 genomes, as the number of genes n goes to ∞, the median value approximates k times the divergence time if the number of rearrangements is less than cn/4 for any c <1. For some c* ≥ 1, if the number of rearrangements is greater than c*n/4, this approximation does not hold.
authors.forename: Arash
authors.initials: A
authors.lastname: Jamshidpey
authors.forename: David
authors.initials: D
authors.lastname: Sankoff
mesh_terms: D019143:Evolution, Molecular; D023061:Gene Order; D016678:Genome; D008957:Models, Genetic; D010802:Phylogeny; D013997:Time Factors