CHEN Bing,PENG Fang,LI Peng,et al.Research on the Calculation Method of FBM Characters of Watershed Topographic Feature Base on DEM[J].Research of Soil and Water Conservation,2019,26(04):31-35.
基于DEM的流域地貌特征分形量化研究
- Title:
- Research on the Calculation Method of FBM Characters of Watershed Topographic Feature Base on DEM
- Keywords:
- fractional Brownian motion; topographic feature; GIS; grid cell size
- 分类号:
- P931.1
- 摘要:
- 为了科学描述地形特征的整体性和地貌过程的非线性，基于分形布朗运动理论（FBM）和地理信息系统平台（GIS），对地处黄土高原丘陵沟壑区第一副区的陈家畈流域地貌形态分形特征进行了量化研究，提出了基于DEM表面积的流域分形布朗运动FBM地貌因子计算模型，并进行了相关的GIS算法开发。研究结果表明：FBM地貌因子能够利用流域地貌形态特征量化指标的标度不变性，实现不同像元尺度下地貌形态特征的比较与评价。同时能够克服地貌形态单因子指标的不足，对流域地貌形态特征进行综合性表达，从而为流域地貌因子的量化研究提供新思路与新角度。
- Abstract:
- In order to scientifically describe the integrity of topographic features and the nonlinearity of geomorphological processes, based on the Fractal Brown Motion (FBM) theory and Geographical Information System (GIS) technique, the topographical fractal character of Chenjiafan watershed, which lies on the Loess Plateau, is studied, and the model and method used to calculate the FBM fractal dimension of the topographical fractal character of the watershed are put forward, and the FBM fractal dimension of the topography of Chenjiafan watershed is worked out for example. The results show that the FBM fractal dimension could be used to compare and estimate the watershed topography characters between the different grid cell sizes based on the scaling invariance of fractal dimension; and the FBM fractal dimension showed the quantitative character of the complex essence of watershed topography. These results can provide the new solution for quantifying the macro-topography which is one of the very important indices of the small watershed soil erosion prediction model on the loess plateau.
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备注/Memo
收稿日期:2018-09-11;改回日期:2018-10-06。
基金项目:国家自然科学基金面上项目“基于能量过程的沟道工程侵蚀阻控机理研究”（51779204）
作者简介:陈兵(1979-)男,湖北荆门人,硕士研究生,主要从事水土保持与地理信息系统研究。E-mail:chenbingxaut@163.com
通讯作者:李鹏(1974-)男,山东烟台人,博士,教授,主要从事土壤侵蚀与水土保持研究。E-mail:lipeng74@163.com