[1]WANG Tao,HE Fuhong,GU Lijuan,et al.Study of the Fractal Curvature of Gully Length in the Jiaodong Peninsula[J].Research of Soil and Water Conservation,2017,24(04):27-31.
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Study of the Fractal Curvature of Gully Length in the Jiaodong Peninsula
Research of Soil and Water Conservation[ISSN 1005-3409/CN 61-1272/P] Volume:
24
Number of periods:
2017 04
Page number:
27-31
Column:
Public date:
2017-08-28
- Title:
- Study of the Fractal Curvature of Gully Length in the Jiaodong Peninsula
- CLC:
- K909
- DOI:
- -
- Abstract:
- The fractal dimension (FD) and fractal curvature (FC) of gully length are the indicators of the shape complexity of a gully. The west watershed of the Anli Reservoir in the Jiaodong Peninsula was selected as the study area, the gully heads were located, and the gully lengths were derived using the slope area index (SA) model. The FDs of the study area were calculated by the box counting method. The relationship between the FDs and the topographic parameters was analyzed, and the single-factor models were constructed to estimate the FD and FC of gully length, which were tested in an examined watershed. The results showed that: (1) the ravine density, surface roughness, profile curvature, and terrain average gradient were found to have significant positive correlation with the FDs of gully length in the study watersheds, and the FD and FC of gully length were two comprehensive indicators of topographic morphology; (2) among the single-factor models for estimating FD and FC, the models with the ravine density single factor can be used to quickly estimate the fractal dimension and fractal curvature of gully length with higher accuracy, and the relative errors of gully length fractal dimension and fractal curvature are 0.007 8% and 0.025 2%, respectively. The models with other single factors, such as slope, plan curvature and surface roughness, are not suitable for estimating the fractal dimension and fractal curvature of gully length, and they have low accuracy.
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1900-01-01