Anomalous scaling in an age-dependent branching model

Stephanie Keller-Schmidt, Murat Tuʇrul, Víctor M. Eguíluz, Emilio Hernández-García, Konstantin Klemm

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    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.

    Original languageEnglish
    Article number022803
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume91
    Issue number2
    DOIs
    Publication statusPublished - Feb 2 2015

    Fingerprint

    Anomalous Scaling
    Branching
    Biological Evolution
    scaling
    Dependent
    Pedigree
    Growth
    Scaling
    Speciation
    Random Trees
    Growth Model
    Model
    Critical point
    Logarithmic
    Branch
    Exponent
    critical point
    Decrease
    exponents
    occurrences

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Medicine(all)

    Cite this

    Keller-Schmidt, S., Tuʇrul, M., Eguíluz, V. M., Hernández-García, E., & Klemm, K. (2015). Anomalous scaling in an age-dependent branching model. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 91(2), [022803]. https://doi.org/10.1103/PhysRevE.91.022803

    Anomalous scaling in an age-dependent branching model. / Keller-Schmidt, Stephanie; Tuʇrul, Murat; Eguíluz, Víctor M.; Hernández-García, Emilio; Klemm, Konstantin.

    In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 91, No. 2, 022803, 02.02.2015.

    Research output: Contribution to journalArticle

    Keller-Schmidt, S, Tuʇrul, M, Eguíluz, VM, Hernández-García, E & Klemm, K 2015, 'Anomalous scaling in an age-dependent branching model', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 91, no. 2, 022803. https://doi.org/10.1103/PhysRevE.91.022803
    Keller-Schmidt, Stephanie ; Tuʇrul, Murat ; Eguíluz, Víctor M. ; Hernández-García, Emilio ; Klemm, Konstantin. / Anomalous scaling in an age-dependent branching model. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2015 ; Vol. 91, No. 2.
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