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仅利用分形无法充分揭示坡面细沟发育的形态特征,还应引入反映细沟发育阶段的地貌信息熵。把分形理论和熵相结合,系统研究坡面细沟沟网分形结构、地貌信息熵及其侵蚀演化之间的关系。通过实例分析发现,细沟分维值能够准确量化沟网平面形态的复杂程度,但当沟网基本稳定,细沟开始向纵深发展时,分形维数对侵蚀强弱动态变化的表达就显得力不从心。坡面地貌信息熵值随侵蚀量的增加呈单调增加趋势,且具有较高相关性,可以作为坡面地貌系统分析中的重要参数。
Only the use of fractal can not fully reveal the morphological characteristics of the development of the rill of the slope, but also the geomorphic information entropy which reflects the development of the rill should be introduced. The fractal theory and entropy are combined to systematically study the relationship between fractal structure, topographic information entropy and erosion evolution of slope gully. The case analysis shows that the fractal dimension of the groove can accurately quantify the complexity of the planar shape of the groove network. However, when the groove network is basically stable and the rills begin to develop in depth, the expression of the dynamic change of the erosion intensity becomes inadequate . The information entropy of slope topography increases monotonously with the increase of erosion amount, and has a high correlation, which can be used as an important parameter in the analysis of slope topography system.