Transport on river networks: A dynamical approach

Article, Preprint English OPEN
Zaliapin, Ilya ; Foufoula-Georgiou, Efi ; Ghil, Michael (2009)
  • Publisher: eScholarship, University of California
  • Related identifiers: doi: 10.1029/2009JF00128
  • Subject: physics.geo-ph | Physics - Geophysics
    arxiv: Physics::Geophysics

This study is motivated by problems related to environmental transport on river networks. We establish statistical properties of a flow along a directed branching network and suggest its compact parameterization. The downstream network transport is treated as a... View more
  • References (58)
    58 references, page 1 of 6

    [1] Albert, R. and A.-L. Barabasi (2002), Statistical mechanics of complex networks, Rev. Mod. Phys. 74, 47-97.

    [2] Badii, R. and A. Politi (1997), Complexity: Hierarchical Structures and Scaling in Physics, Cambridge University Press, 318 pp.

    [3] La Barbera, P. and R. Rosso (1987), Fractal geometry of river networks, EOS Trans. AGU, 68(44), 1276.

    [4] Blanter, E. M., M. G. Shnirman, J. L. LeMouel, and C. J. Allegre (1997), Scaling laws in blocks dynamics and dynamic self-organized criticality, Phys. Earth Planet. Inter., 99(3-4), 295-307.

    [5] Blanter, E. M., M. G. Shnirman, and J. L. LeMouel (1997), Hierarchical model of seismicity: scaling and predictability, Phys. Earth Planet. Inter., 103(1-2), 135-150.

    [6] Boltzmann, L. (1896), Vorlesungen u¨berGastheorie, Bands I, II.

    [7] Bogolyubov, N. N. (1960), Problems of Dynamic Theory in Statistical Physics, Oak Ridge, Tenn., Technical Information Service.

    [8] Burd, G. A., E. C. Waymire, and R. D. Winn (2000), A self-similar invariance of critical binary galton-watson trees. Bernoulli, 6(1), 1-21.

    [9] da Costa, F. P., Grinfeld, M., Wattis, J. A. D. (2002), A hierarchical cluster system based on Horton-Strahler rules for river networks, Studies Appl. Math., 109(3), 163- 204.

    [10] Dodds, P.S. and D.H. Rothman (2000), Scaling, Universality, and Geomorphology, Annual Review of Earth and Planetary Sciences, 28, 571-610, doi:10.1146/

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