Probability distributions of landslide volumes
Open Access
- 11 March 2009
- journal article
- research article
- Published by Copernicus GmbH in Nonlinear Processes in Geophysics
- Vol. 16 (2), 179-188
- https://doi.org/10.5194/npg-16-179-2009
Abstract
We examine 19 datasets with measurements of landslide volume, VL, for sub-aerial, submarine, and extraterrestrial mass movements. Individual datasets include from 17 to 1019 landslides of different types, including rock fall, rock slide, rock avalanche, soil slide, slide, and debris flow, with individual landslide volumes ranging over 10−4 m3≤VL≤1013 m3. We determine the probability density of landslide volumes, p(VL), using kernel density estimation. Each landslide dataset exhibits heavy tailed (self-similar) behaviour for their frequency-size distributions, p(VL) as a function of VL, for failures exceeding different threshold volumes, VL*, for each dataset. These non-cumulative heavy-tailed distributions for each dataset are negative power-laws, with exponents 1.0≤β≤1.9, and averaging β≈1.3. The scaling behaviour of VL for the ensemble of the 19 datasets is over 17 orders of magnitude, and is independent of lithological characteristics, morphological settings, triggering mechanisms, length of period and extent of the area covered by the datasets, presence or lack of water in the failed materials, and magnitude of gravitational fields. We argue that the statistics of landslide volume is conditioned primarily on the geometrical properties of the slope or rock mass where failures occur. Differences in the values of the scaling exponents reflect the primary landslide types, with rock falls exhibiting a smaller scaling exponent (1.1≤β≤1.4) than slides and soil slides (1.5≤β≤1.9). We argue that the difference is a consequence of the disparity in the mechanics of rock falls and slides.This publication has 18 references indexed in Scilit:
- Avalanche statistics of driven granular slides in a miniature moundGeophysical Research Letters, 2008
- Characteristics of the Shetland Islands (UK) peat slides of 19 September 2003Landslides, 2008
- Characteristics of the size distribution of recent and historical landslides in a populated hilly regionEarth and Planetary Science Letters, 2007
- Landslides in vibrating sand box: What controls types of slope failure and frequency magnitude relations?Earth and Planetary Science Letters, 2006
- Rock-slope failure and the river long profileGeology, 2006
- Power laws, Pareto distributions and Zipf's lawContemporary Physics, 2005
- Landslides, earthquakes, and erosionEarth and Planetary Science Letters, 2004
- Landslide inventories and their statistical propertiesEarth Surface Processes and Landforms, 2004
- Representing the landslide magnitude–frequency relation: Capilano River basin, British ColumbiaEarth Surface Processes and Landforms, 2004
- Statistical analysis of rockfall volume distributions: Implications for rockfall dynamicsJournal of Geophysical Research, 2003