---
_id: '1883'
abstract:
- lang: eng
text: "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.\r\n"
article_number: '022803'
article_processing_charge: No
article_type: original
author:
- first_name: Stephanie
full_name: Keller-Schmidt, Stephanie
last_name: Keller-Schmidt
- first_name: Murat
full_name: Tugrul, Murat
id: 37C323C6-F248-11E8-B48F-1D18A9856A87
last_name: Tugrul
orcid: 0000-0002-8523-0758
- first_name: Víctor
full_name: Eguíluz, Víctor
last_name: Eguíluz
- first_name: Emilio
full_name: Hernandez Garcia, Emilio
last_name: Hernandez Garcia
- first_name: Konstantin
full_name: Klemm, Konstantin
last_name: Klemm
citation:
ama: 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
apa: 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. American Institute
of Physics. https://doi.org/10.1103/PhysRevE.91.022803
chicago: 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.
American Institute of Physics, 2015. https://doi.org/10.1103/PhysRevE.91.022803.
ieee: 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. American Institute
of Physics, 2015.
ista: 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), 022803.
mla: 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.
short: S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, K. Klemm,
Physical Review E Statistical Nonlinear and Soft Matter Physics 91 (2015).
date_created: 2018-12-11T11:54:31Z
date_published: 2015-02-02T00:00:00Z
date_updated: 2021-01-12T06:53:49Z
day: '02'
department:
- _id: NiBa
doi: 10.1103/PhysRevE.91.022803
external_id:
arxiv:
- '1012.3298'
intvolume: ' 91'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1012.3298
month: '02'
oa: 1
oa_version: Preprint
publication: Physical Review E Statistical Nonlinear and Soft Matter Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5213'
quality_controlled: '1'
scopus_import: 1
status: public
title: Anomalous scaling in an age-dependent branching model
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 91
year: '2015'
...