Transport on river networks: A dynamic tree approach

被引:42
作者
Zaliapin, Ilya [1 ]
Foufoula-Georgiou, Efi [3 ,4 ]
Ghil, Michael [2 ,5 ,6 ,7 ]
机构
[1] Univ Nevada, Dept Math & Stat, Reno, NV 89557 USA
[2] Univ Calif Los Angeles, Dept Atmospher & Ocean Sci, Los Angeles, CA 90095 USA
[3] Univ Minnesota, St Anthony Falls Lab, Minneapolis, MN 55414 USA
[4] Univ Minnesota, Natl Ctr Earth Surface Dynam, Dept Civil Engn, Minneapolis, MN 55414 USA
[5] Univ Calif Los Angeles, Inst Geophys & Planetary Phys, Los Angeles, CA 90095 USA
[6] Ecole Normale Super, CNRS, IPSL, Meteorol Dynam Lab, Paris, France
[7] Ecole Normale Super, Dept Geosci, Paris, France
基金
美国国家科学基金会;
关键词
BOOLEAN DELAY EQUATIONS; CHANNEL NETWORKS; MODEL; LAW; GEOMORPHOLOGY; PREDICTION; DIVERSITY; BEHAVIOR; STREAMS; TERMS;
D O I
10.1029/2009JF001281
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
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 particular case of nearest neighbor hierarchical aggregation with respect to the metric induced by the branching structure of the river network. We describe the static geometric structure of a drainage network by a tree, referred to as the static tree, and introduce an associated dynamic tree that describes the transport along the static tree. It is well known that the static branching structure of river networks can be described by self-similar trees; we demonstrate that the corresponding dynamic trees are also self-similar, albeit with different self-similarity parameters. We report an unexpected phase transition in the dynamics of three river networks (one from California and two from Italy), demonstrate the universal features of this transition, and seek to interpret it in hydrological terms.
引用
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页数:15
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