---
_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
arxiv: 1
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. <i>Physical Review E</i>. 2015;91(2).
    doi:<a href="https://doi.org/10.1103/PhysRevE.91.022803">10.1103/PhysRevE.91.022803</a>
  apa: Keller-Schmidt, S., Tugrul, M., Eguíluz, V., Hernandez Garcia, E., &#38; Klemm,
    K. (2015). Anomalous scaling in an age-dependent branching model. <i>Physical
    Review E</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevE.91.022803">https://doi.org/10.1103/PhysRevE.91.022803</a>
  chicago: Keller-Schmidt, Stephanie, Murat Tugrul, Víctor Eguíluz, Emilio Hernandez
    Garcia, and Konstantin Klemm. “Anomalous Scaling in an Age-Dependent Branching
    Model.” <i>Physical Review E</i>. American Physical Society, 2015. <a href="https://doi.org/10.1103/PhysRevE.91.022803">https://doi.org/10.1103/PhysRevE.91.022803</a>.
  ieee: S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, and K. Klemm,
    “Anomalous scaling in an age-dependent branching model,” <i>Physical Review E</i>,
    vol. 91, no. 2. American Physical Society, 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. 91(2),
    022803.
  mla: Keller-Schmidt, Stephanie, et al. “Anomalous Scaling in an Age-Dependent Branching
    Model.” <i>Physical Review E</i>, vol. 91, no. 2, 022803, American Physical Society,
    2015, doi:<a href="https://doi.org/10.1103/PhysRevE.91.022803">10.1103/PhysRevE.91.022803</a>.
  short: S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, K. Klemm,
    Physical Review E 91 (2015).
date_created: 2018-12-11T11:54:31Z
date_published: 2015-02-02T00:00:00Z
date_updated: 2026-08-12T14:26:46Z
day: '02'
department:
- _id: NiBa
doi: 10.1103/PhysRevE.91.022803
external_id:
  arxiv:
  - '1012.3298'
  isi:
  - '000349860900006'
intvolume: '        91'
isi: 1
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
publication_status: published
publisher: American Physical Society
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'
...