Anomalous scaling in an age-dependent branching model

S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, K. Klemm, Physical Review E Statistical Nonlinear and Soft Matter Physics 91 (2015).

Download
No fulltext has been uploaded. References only!

Journal Article | Published | English
Author
; ; ; ;
Department
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.
Publishing Year
Date Published
2015-02-02
Journal Title
Physical Review E Statistical Nonlinear and Soft Matter Physics
Acknowledgement
This work has been supported by MINECO (Spain) and FEDER (EU) through projects INTENSE@COSYP (FIS2012-30634) and MODASS (FIS2011-24785), and by Volkswagen Foundation through contract I / 82 719 We thank Alejandro Herrada, Stephan Steigele, and Joan Pons for valuable discussions regarding biological evolution.
Volume
91
Issue
2
Article Number
022803
IST-REx-ID

Cite this

Keller-Schmidt S, Tugrul M, Eguíluz V, Hernandez Garcia E, Klemm K. Anomalous scaling in an age-dependent branching model. Physical Review E Statistical Nonlinear and Soft Matter Physics. 2015;91(2). doi:10.1103/PhysRevE.91.022803
Keller-Schmidt, S., Tugrul, M., Eguíluz, V., Hernandez Garcia, E., & Klemm, K. (2015). Anomalous scaling in an age-dependent branching model. Physical Review E Statistical Nonlinear and Soft Matter Physics, 91(2). https://doi.org/10.1103/PhysRevE.91.022803
Keller-Schmidt, Stephanie, Murat Tugrul, Víctor Eguíluz, Emilio Hernandez Garcia, and Konstantin Klemm. “Anomalous Scaling in an Age-Dependent Branching Model.” Physical Review E Statistical Nonlinear and Soft Matter Physics 91, no. 2 (2015). https://doi.org/10.1103/PhysRevE.91.022803.
S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, and K. Klemm, “Anomalous scaling in an age-dependent branching model,” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 91, no. 2, 2015.
Keller-Schmidt S, Tugrul M, Eguíluz V, Hernandez Garcia E, Klemm K. 2015. Anomalous scaling in an age-dependent branching model. Physical Review E Statistical Nonlinear and Soft Matter Physics. 91(2).
Keller-Schmidt, Stephanie, et al. “Anomalous Scaling in an Age-Dependent Branching Model.” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 91, no. 2, 022803, American Institute of Physics, 2015, doi:10.1103/PhysRevE.91.022803.

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar