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首页> 外文期刊>Water resources research >Relation between grid, channel, and Peano networks in high-resolution digital elevation models
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Relation between grid, channel, and Peano networks in high-resolution digital elevation models

机译：高分辨率数字高程模型中的网格，通道和Peano网络之间的关系

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摘要

The topological interconnection between grid, channel, and Peano networks is investigated by extracting grid and channel networks from high-resolution digital elevation models of real drainage basins, and by using a perturbed form of the equation describing how the average junction degree varies with Horton-Strahler order in Peano networks. The perturbed equation is used to fit the data observed over the Hortonian substructures of real networks. The perturbation parameter, denoted as uniformity factor, is shown to indicate the degree of topological similarity between Hortonian and Peano networks. The sensitivities of computed uniformity factors and drainage densities to grid cell size and selected threshold for channel initiation are evaluated. While the topological relation between real and Peano networks may not vary significantly with grid cell size, these networks are found to exhibit the same drainage density only for specific grid cell sizes, which may depend on the selected threshold for channel initiation.
机译：通过从真实流域的高分辨率数字高程模型中提取网格和通道网络，并使用方程的扰动形式描述平均结点度如何随Horton-变化，研究了网格，通道和Peano网络之间的拓扑互连。 Peano网络中的Strahler顺序。扰动方程用于拟合在实际网络的Hortonian子结构上观察到的数据。表示为均匀度因子的摄动参数表明了Hortonian网络和Peano网络之间的拓扑相似程度。评估了计算出的均匀度因子和排水密度对网格单元大小的敏感性以及为通道启动选择的阈值。虽然实际网络和Peano网络之间的拓扑关系可能不会随网格单元大小而发生显着变化，但是发现这些网络仅对于特定的网格单元大小显示相同的排水密度，这可能取决于所选的通道启动阈值。

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