[1]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.
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Research of Soil and Water Conservation[ISSN 1005-3409/CN 61-1272/P] Volume:
26
Number of periods:
2019 04
Page number:
31-35
Column:
Public date:
2019-06-11
- Title:
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Research on the Calculation Method of FBM Characters of Watershed Topographic Feature Base on DEM
- Author(s):
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CHEN Bing1,2, PENG Fang3, LI Peng1, YUAN Shuilong1
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1. State Key Laboratory of Eco-hydraulic Engineering in Arid Area, Xi’an University of Technology, Xi’an 710048, China;
2. Shaanxi Province Department of Water Resource, Xi’an 710004, China;
3. Shaanxi Province Institute of Water Resources and Electric Investigation and Design, Xi’an 710001, China
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- Keywords:
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fractional Brownian motion; topographic feature; GIS; grid cell size
- CLC:
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P931.1
- DOI:
-
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- Abstract:
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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.