黄河中游典型河网的结构自相似性

Structural self-similarity of river networks in the Middle Yellow River basin

对黄河中游不同子流域河网的宏观几何形态进行了分析,利用TOPAZ软件和DEM数据,设置适当的提取参数得到它们的河网形态结构参数。对河网的几何结构和拓扑结构进行统计分析,结果表明:在一定尺度范围内满足Horton-Strahler法则和Tokunaga法则,呈现出结构自相似性。刻画河网形态结构的主要参数具有较稳定的取值,不同河网之间的参数取值波动不大,与河网呈现的宏观几何形态以及河网所处的地域没有显著相关性。

The river network structure in the Middle Yellow River basin has various macroscale geometrical patterns. The morphological parameters of river networks were obtained using the TOPAZ software, using DEM data analyzed with appropriate extraction parameters. Statistical analyses of the geometric structures and topological morphology of the river networks showed that the Horton-Strahler and Tokunaga laws hold well within a certain range of scales, demonstrating self-similarity in the structure. Furthermore, the parameters characterizing this self similar pattern have stable values showing negligible change over a given range of scales, which suggests their independence in regard to the maeroscale geometrical patterns of the river networks and the regions where they are located.