A Fractal Measure of Spatial Association between Landslides and Conditioning Factors

Renguang Zuo; Carranza Emmanuel John M.

doi:10.1007/s12583-017-0772-2

Volume 28 Issue 4

Jul 2017

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Journal of Earth Science > 2017 > 28(4): 588-594.

Renguang Zuo, Carranza Emmanuel John M.. A Fractal Measure of Spatial Association between Landslides and Conditioning Factors. Journal of Earth Science, 2017, 28(4): 588-594. doi: 10.1007/s12583-017-0772-2

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Renguang Zuo, Carranza Emmanuel John M.. A Fractal Measure of Spatial Association between Landslides and Conditioning Factors. Journal of Earth Science, 2017, 28(4): 588-594. doi: 10.1007/s12583-017-0772-2

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A Fractal Measure of Spatial Association between Landslides and Conditioning Factors

doi: 10.1007/s12583-017-0772-2

Renguang Zuo^{1
,
,
,},
Carranza Emmanuel John M.²

1.
State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, China
2.
Institute of Geosciences, State University of Campinas (UniCamp), Campinas, São Paulo, Brazil

More Information

Corresponding author: Renguang Zuo, zrguang@cug.edu.cn
Received Date: 07 Apr 2017
Accepted Date: 30 May 2017
Publish Date: 01 Aug 2017

Abstract

Abstract

Measuring the relative importance and assigning weights to conditioning factors of landslides occurrence are significant for landslide prevention and/or mitigation. In this contribution, a fractal method is introduced for measuring the spatial relationships between landslides and conditioning factors (such as faults, rivers, geological boundaries, and roads), and for assigning weights to conditioning factors for mapping of landslide susceptibility. This method can be expressed as ρ=Cε^–d, where d is the fractal dimension, and C is a constant. This relationship indicates a fractal relation between landslide density (ρ) and distances to conditioning factors (ε). The case of d > 0 suggests a significant spatial correlation between landslides and conditioning factors. The larger the d ( > 0) value, the stronger the spatial correlation is between landslides and a specific conditioning factor. Two case studies in South China were examined to demonstrate the usefulness of this novel method.
- geological hazard,
- landslides,
- fractal,
- spatial statistic

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References(46)

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A Fractal Measure of Spatial Association between Landslides and Conditioning Factors

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