title: Anomalous scaling in an age-dependent branching model.
abstract: We introduce a one-parametric family of tree growth models, in which branching probabilities decrease with branch age τ as τ(-α). Depending on the exponent α, the scaling of tree depth with tree size n displays a transition between the logarithmic scaling of random trees and an algebraic growth. At the transition (α=1) tree depth grows as (logn)(2). This anomalous scaling is in good agreement with the trend observed in evolution of biological species, thus providing a theoretical support for age-dependent speciation and associating it to the occurrence of a critical point.
authors.affiliation: Bioinformatics, Institute of Computer Science, University Leipzig, Härtelstr. 16-18, 04107 Leipzig, Germany.
authors.forename: Stephanie
authors.initials: S
authors.lastname: Keller-Schmidt
authors.affiliation: IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria.
authors.forename: Murat
authors.initials: M
authors.lastname: Tuğrul
authors.affiliation: IFISC (CSIC-UIB), Instituto de Física Interdisciplinar y Sistemas Complejos, E-07122 Palma de Mallorca, Spain.
authors.forename: Víctor M
authors.initials: VM
authors.lastname: Eguíluz
authors.affiliation: IFISC (CSIC-UIB), Instituto de Física Interdisciplinar y Sistemas Complejos, E-07122 Palma de Mallorca, Spain.
authors.forename: Emilio
authors.initials: E
authors.lastname: Hernández-García
authors.affiliation: Bioinformatics, Institute of Computer Science, University Leipzig, Härtelstr. 16-18, 04107 Leipzig, Germany.|Bioinformatics and Computational Biology, University of Vienna, Währingerstraße 29, 1090 Vienna, Austria.|Theoretical Chemistry, University of Vienna, Währingerstraße 17, 1090 Vienna, Austria.|School of Science and Technology, Nazarbayev University, Kabanbay Batyr Ave. 53, 010000 Astana, Kazakhstan.
authors.forename: Konstantin
authors.initials: K
authors.lastname: Klemm
mesh_terms: D016208:Databases, Factual; D008954:Models, Biological; D011336:Probability; D014197:Trees / Q000033:anatomy & histology* / Q000502:physiology*