Formulation and asymptotic properties of the bifurcation ratio in Horton's law for the equiprobable binary tree model

Ken Yamamoto, Yoshihiro Yamazaki

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    3 Citations (Scopus)

    Abstract

    The bifurcation ratio for the equiprobable binary tree model is formulated. We obtain the exact expression of the kth moment of the second-order streams. We also obtain a recursive equation between rth and (r+1) th order streams. Horton's law is confirmed numerically by calculating this recursive equation and asymptotic properties of the bifurcation ratio are discussed.

    Original languageEnglish
    Article number021114
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume78
    Issue number2
    DOIs
    Publication statusPublished - 2008 Aug 14

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Mathematical Physics

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