Discriminant analysis of the geomorphic characteristics and stability of landslide dams.

article i nfo Landslides can cause the formation of dams, but these dams often fail soon after lake formation. Thus, rapidly evaluating the stability of a landslide dam is crucial for effective hazard mitigation. This study utilizes discriminant analysis based on a Japanese dataset consisting of 43 well documented landslide dams to determine the significant variables, including log-transformed peak flow (or catchment area), and log- transformed dam height, width and length in hierarchical order, which affect the stability of a landslide dam. The high overall prediction power (88.4% of the 43 training cases are correctly classified) and the high cross- validation accuracy (86%) demonstrate the robustness of the proposed discriminant models PHWL (with variables including log-transformed peak flow, and log-transformed dam height, width and length) and AHWL (with variables including log-transformed catchment area, and log-transformed dam height, width and length). Compared to a previously proposed "DBI" index-based graphic approach, the discriminant model AHV - which uses the log-transformed catchment area, dam height, and dam volume as relevant variables - shows better ability to evaluate the stability of landslide dams. Although these discriminant models are established using a Japanese dataset only, the present multivariate statistical approach can be applied for an expanded dataset without any difficulty when more completely documented worldwide landslide-dam data are available.

[1]  Xianggui Qu,et al.  Multivariate Data Analysis , 2007, Technometrics.

[2]  Oliver Korup,et al.  Geomorphometric characteristics of New Zealand landslide dams , 2004 .

[3]  J. Corominas,et al.  Assessment of shallow landslide susceptibility by means of multivariate statistical techniques , 2001 .

[4]  P. Frattini,et al.  Comparing models of debris-flow susceptibility in the alpine environment , 2008 .

[5]  Ming-Lang Lin,et al.  Statistical approach to storm event-induced landslides susceptibility , 2008 .

[6]  Oliver Korup,et al.  Recent research on landslide dams - a literature review with special attention to New Zealand , 2002 .

[7]  M. Aldenderfer,et al.  Cluster Analysis. Sage University Paper Series On Quantitative Applications in the Social Sciences 07-044 , 1984 .

[8]  J. McKean,et al.  Objective landslide detection and surface morphology mapping using high-resolution airborne laser altimetry , 2004 .

[9]  Nicola Casagli,et al.  Determining grain size distribution of the material composing landslide dams in the Northern Apennines: sampling and processing methods , 2003 .

[10]  Yu-Chang Chan,et al.  Geological and morphological study of the Jiufengershan landslide triggered by the Chi-Chi Taiwan earthquake , 2005 .

[11]  A. Clerici,et al.  Simulation of the Parma River blockage by the Corniglio landslide (Northern Italy) , 2000 .

[12]  M. Goldstein,et al.  Multivariate Analysis: Methods and Applications , 1984 .

[13]  John E. Costa,et al.  The formation and failure of natural dams , 1988 .

[14]  Rou-Fei Chen,et al.  Topographical changes revealed by high-resolution airborne lidar data; the 1999 Tsaoling landslide induced by the Chi-chi earthquake , 2006 .

[15]  J A Swets,et al.  Measuring the accuracy of diagnostic systems. , 1988, Science.

[16]  Kang-Tsung Chang,et al.  Analysing the Relationship Between Typhoon‐Triggered Landslides and Critical Rainfall Conditions , 2008 .

[17]  C Holden,et al.  Deaf nurse loses in supreme court plea. , 1979, Science.

[18]  Santiago Beguería,et al.  Validation and Evaluation of Predictive Models in Hazard Assessment and Risk Management , 2006 .

[19]  M. Goldstein,et al.  Multivariate Analysis: Methods and Applications , 1984 .

[20]  Ming-Lang Lin,et al.  Statistical approach to earthquake-induced landslide susceptibility , 2008 .

[21]  R. McCuen.  Hydrologic Analysis and Design , 1997 .

[22]  Nicola Casagli,et al.  Prediction of the behaviour of landslide dams using a geomorphological dimensionless index , 2003 .

[23]  John E. Costa,et al.  A Perspective on Landslide Dams , 1986 .

[24]  R. Reyment,et al.  Statistics and Data Analysis in Geology. , 1988 .

[25]  E. Ziegel.  Statistics and Data Analysis in Geology (3rd ed.) , 2005 .

[26]  Nicola Casagli,et al.  Geomorphic analysis of landslide dams in the Northern Apennine , 1999 .

[27]  Andrea G. Fabbri,et al.  Validation of Spatial Prediction Models for Landslide Hazard Mapping , 2003 .

[28]  John E. Costa,et al.  The formation and failure of natural dams , 1988 .

[29]  F. Swanson,et al.  Landslide Dams in Japan , 1986 .

[30]  O. Korup.  Geomorphic hazard assessment of landslide dams in South Westland, New Zealand: fundamental problems and approaches , 2005 .

[31]  Chien-Chih Chen,et al.  New entropy-based method for variables selection and its application to the debris-flow hazard assessment , 2007 .

[32]  R. Schuster,et al.  Documented historical landslide dams from around the world , 1991 .