Fractal analysis of rainfall-induced landslide and debris flow spread distribution in the Chenyulan Creek Basin, Taiwan

Abstract

The Chenyulan Stream in Central Taiwan follows the Chenyulan fault line which is a major boundary fault in Taiwan. In recent years, many destructive landslides have occurred in the Chenyulan Creek Basin after heavy rainfall accompanied by several strong typhoons. Three examples of landslide distributions in the Chenyulan Creek Basin, before and after 1996 and after 2004 are analyzed. The box dimension and two-point correlation dimension are employed to describe the landslide area size distribution and distance distribution between every two landslides, respectively. It is found that the number of landslides increased in this period. However, the average landslide area decreased. The correlation dimension gradually increased from 1.15 to 1.32 during this period (before and after 1996 and after 2004). This implies that the landslide distribution in the Chenyulan Creek Basin has become diffuse and extensive. The box dimension value shows the degree of the landslide density occupied in a space. The box dimension also increased from 0.3 to 0.69 during this period. The increasing box dimension means that the landslide presented in this creek basin has gradually increased. This indicates that the slopes of this creek basin have become more unstable and susceptible.

Keywords

landslide distribution / box dimension / two-point correlation dimension / Taiwan

References

Cello G., Marchegiani L., Tondi E. Cello G., Malamud B. D. Evidence for the Existence of a Simple Relation between Earthquake Magnitude and the Fractal Dimension of Seismogenic Faults: A Case Study from Central Italy. Fractal Analysis for Natural Hazards, 2006, 133-140.

Chang J. C., Slaymaker O. Frequency and Spatial Distribution of Landslides in a Mountainous Drainage Basin: Western Foothills, Taiwan. Catena, 2002, 46: 285-307.

Chen H., Petley D. N. The Impact of Landslides and Debris Flows Triggered by Typhoon Mindulle in Taiwan. Quarterly Journal of Engineering Geology and Hydrogeology, 2005, 38: 301-304.

Coughlin J., Kranz R. New Approaches to Studying Rock Burst-Associated Seismicity in Mines, 1991

Fan X. Y., Qiao J. P., . Han J., Yin J.-H., White D. J., . Physics Fractal of Time Distribution on Landslides of Chongqing in the Three Gorges Region, China. Advance Earth Structures: Research to Practice, 2006, 120-127.

Guzzetti F., Malamud B. D., Turcotte D. L., . Power-Law Correlation of Landslide Areas in Central Italy. Engineering Geology, 2002, 195: 169-183.

Kagan Y. Y., Knopoff L. Spatial Distribution of Earthquakes: The Two-Point Correlation Function. Geophysical Journal of the Royal Astronomical Society, 1980, 62: 303-320.

Kouli M., Loupasakis C., Soupios P., . Comparing Multi-Criteria Methods for Landslide Susceptibility Mapping in Chania Prefecture, Crete Island, Greece. Natural Hazards and Earth System Sciences Discuss, 2013, 1: 73-109.

Lee C. T. A Geomorphological View on the Disaster in the Chenyulan Creek during the Typhoon Herb. Sino-Geotechnics, 1996, 57: 17-24.

Li C., Ma T., Sun L., . Application and Verification of a Fractal Approach to Landslide Susceptibility Mapping. Natural Hazards, 2012, 61(1): 169-185.

Lin C. W., Shieh C. L., Yuan B. D., . Impact of Chi-Chi Earthquake on the Occurrence of Landslides and Debris Flows: Example from the Chenyulan River Watershed, Nantou, Taiwan. Engineering Geology, 2003, 71: 49-61.

Lin M. L., Jeng F. S. Characteristics of Hazards Induced by Extremely Heavy Rainfall in Central Taiwan-Typhoon Herb. Engineering Geology, 2000, 58: 191-207.

Malamud B. D., Turcotte D. L. Cello G., Malamud B. D. An Inverse Cascade Explanation for the Power-Law Frequency-Area Statistics of Earthquakes, Landslides and Wildfires. Fractal Analysis for Natural Hazards, 2006, 1-9.

Mandelbrot B. B. How Long is the Coast of Britain? Statistical Self-Similarity and Fractal Dimension. Science, 1967, 156: 636-638.

Pourghasemi H. R., Moradi H. R., Fatemi Aghda S. M., . Assessment of Fractal Dimension and Geometrical Characteristics of Landslides Identified in North of Tehran, Iran. Environmental Earth Science, 2013, 71(8): 3617-3626.

Rouai M., Jaaidi E. B. Scaling Properties of Landslides in the Rif Mountains of Morocco. Engineering Geology, 2003, 68: 353-359.

Sezer E. A. A Computer Program for Fractal Dimension (FRACEK) with Application on Type of Mass Movement Characterization. Computer and Geoscience, 2010, 36: 391-396.

Shen G. Fractal Dimension and Fractal Growth of Urbanized Areas. International Journal Geography Information Science, 2002, 16(5): 419-437.

Tarutani N., Majtan S., Morita K., . Spatial Distribution Pattern of Rapid Shallow Landslides in Amakus Island, 2002 Villach/Osterreich: Internationales Symposion, 317-323.

Ueno T., Yoshimatsu H., Nishi M. Fractal Property and Multiple Level Characteristic of Landslides in Fractures Zones, 1993, 114-121.

Wang H. B., Liu G. J., Xu W. Y., . GIS-Based Landslide Hazard Assessment: An Overview. Progress in Physical Geography, 2005, 29(4): 548-567.

Wu C. H., Tsai C. H., Hu C. T. A Survey Report on Landslide of Slope Land in Taiwan, 1989, 139.

Wu S., Wang H., Han J., . Wang F., Li T., . The Application of Fractal Dimensions of Landslide Boundary Trace for Evaluation of Slope Instability. Landslide Disaster Mitigation in Three Gorges Reservoir, China, 2009, 465-474.

Yang Z. Y., Juo J. L. Interpretation of Sieve Analysis Data Using the Box-Counting Method for Gravelly Cobbles. Canadian Geotechnical Journal, 2001, 38: 1201-1212.

Yokoi Y., Carr J. R., Watters R. J. Analysis of Landslide Block Development Process Using Its Fractal Character. Journal of Japan Society Engineering Geology, 1996, 37: 29-39.