Transport on river networks: A dynamic tree approach
Transport on river networks: A dynamic tree approach
复制标题
河网运输：动态树方法
DOI：
--
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
M. Ghil
中科院分区：
文献类型：
--
作者：
I. Zaliapin;E. Foufoula‐Georgiou;M. Ghil
[1]这项研究的动机是与河网环境运输相关的问题。我们建立了沿有向分支网络的流的统计性质，并建议将其紧凑的参数化。下游网络传输被视为关于由河流网络的分支结构引起的度量的最近邻居分层聚集的特殊情况。我们用一棵树来描述排水管网的静态几何结构，称为静态树，并引入了一棵关联的动态树来描述沿静态树的输运。众所周知，河网的静态分支结构可以用自相似树来描述；我们证明了相应的动态树也是自相似的，尽管自相似参数不同。我们报告了三个河流网络(一个来自加利福尼亚州，两个来自意大利)动态的意外相变，展示了这种相变的普遍特征，并试图从水文学的角度对其进行解释。
[1] 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.