Assessment of susceptibility to rainfall-induced landslides using improved self-organizing linear output map, support vector machine, and logistic regression

Abstract Quantitative landslide susceptibility assessment is necessary for mitigating casualties, property damage, and economic loss. Identification of landslides and preparation of landslide susceptibility maps are crucial steps in landslide susceptibility assessment. Therefore, an optimal landslide susceptibility model is presented that is capable of producing accurate landslide susceptibility maps and assessing landslide susceptibility. To construct the optimal landslide susceptibility model, the effectiveness of the improved self-organizing linear output map (ISOLO), support vector machines (SVM) with four kernel functions (LN-SVM, PL-SVM, RBF-SVM, and SIG-SVM) and logistic regression (LR) was compared. Twelve landslide causative factors (namely, slope, slope aspect, elevation, curvature, profile curvature, plan curvature, slope length, topographic wetness index, distance to river, distance to road, distance to fault and annual maximum 24- and 48-h rainfalls) were used in this landslide susceptibility analysis. These models were applied to the Kaoping River basin in Southwestern Taiwan to assess its performance. Landslide inventory maps from 2008 to 2011 were collected. Data from the first three-year period were used for training and the remaining data was used for testing. The performance of the models was compared using accuracy and the area under the receiver operating characteristic curve as criteria. The results show that the RBF-SVM model outperformed the logistic regression in the study area. Using the RBF-SVM model, the landslide susceptibility under the annual 48-h maximum rainfall of various return periods were analyzed to assist local administrations and decision makers in disaster planning.

[1]  C. Jeong,et al.  Nonparametric statistical temporal downscaling of daily precipitation to hourly precipitation and implications for climate change scenarios , 2014 .

[2]  C. Lee Statistical seismic landslide hazard analysis: An example from Taiwan , 2014 .

[3]  H. Kienholz Maps of Geomorphology and Natural Hazards of Grindelwald, Switzerland: Scale 1:10,000 , 1978 .

[4]  A. Karegowda,et al.  COMPARATIVE STUDY OF ATTRIBUTE SELECTION USING GAIN RATIO AND CORRELATION BASED FEATURE SELECTION , 2010 .

[5]  Biswajeet Pradhan,et al.  Landslide susceptibility assessment and factor effect analysis: backpropagation artificial neural networks and their comparison with frequency ratio and bivariate logistic regression modelling , 2010, Environ. Model. Softw..

[6]  L. Ayalew,et al.  The application of GIS-based logistic regression for landslide susceptibility mapping in the Kakuda-Yahiko Mountains, Central Japan , 2005 .

[7]  Cristiano Ballabio,et al.  Support Vector Machines for Landslide Susceptibility Mapping: The Staffora River Basin Case Study, Italy , 2012, Mathematical Geosciences.

[8]  Biswajeet Pradhan,et al.  A comparative study on the predictive ability of the decision tree, support vector machine and neuro-fuzzy models in landslide susceptibility mapping using GIS , 2013, Comput. Geosci..

[9]  Chia-Chi Chang,et al.  Modeling Typhoon Event-Induced Landslides Using GIS-Based Logistic Regression: A Case Study of Alishan Forestry Railway, Taiwan , 2013 .

[10]  T. Kavzoglu,et al.  Landslide susceptibility mapping using GIS-based multi-criteria decision analysis, support vector machines, and logistic regression , 2014, Landslides.

[11]  Christos Polykretis,et al.  A comparative study of landslide susceptibility mapping using landslide susceptibility index and artificial neural networks in the Krios River and Krathis River catchments (northern Peloponnesus, Greece) , 2015, Bulletin of Engineering Geology and the Environment.

[12]  Zhizhong Wang,et al.  The application of mutual information-based feature selection and fuzzy LS-SVM-based classifier in motion classification , 2008, Comput. Methods Programs Biomed..

[13]  Shibiao Bai,et al.  GIS-based rare events logistic regression for landslide-susceptibility mapping of Lianyungang, China , 2011 .

[14]  Farid Melgani,et al.  Toward an Optimal SVM Classification System for Hyperspectral Remote Sensing Images , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[15]  Min-Hao Wu,et al.  Evaluating triggering and causative factors of landslides in Lawnon River Basin, Taiwan , 2011 .

[16]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[17]  C. F. Lee,et al.  Landslide characteristics and, slope instability modeling using GIS, Lantau Island, Hong Kong , 2002 .

[18]  Using GIS & Multicriteria Decision analysis in landslide susceptibility mapping - a case study in Messinia prefecture area (SW Peloponnesus, Greece) , 2007 .

[19]  J. Hosking L‐Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics , 1990 .

[20]  D. Hosmer,et al.  Applied Logistic Regression , 1991 .

[21]  Gwo-Fong Lin,et al.  Effective typhoon characteristics and their effects on hourly reservoir inflow forecasting , 2010 .

[22]  Isik Yilmaz,et al.  Landslide susceptibility mapping using frequency ratio, logistic regression, artificial neural networks and their comparison: A case study from Kat landslides (Tokat - Turkey) , 2009, Comput. Geosci..

[23]  An-Ming Wu,et al.  Classification of non-vegetated areas using Formosat-2 high spatiotemporal imagery: the case of Tseng-Wen Reservoir catchment area (Taiwan) , 2011 .

[24]  Gwo-Fong Lin,et al.  Support vector machine-based models for hourly reservoir inflow forecasting during typhoon-warning periods , 2009 .

[25]  Mustafa Neamah Jebur,et al.  Earthquake induced landslide susceptibility mapping using an integrated ensemble frequency ratio and logistic regression models in West Sumatera Province, Indonesia , 2014 .

[26]  C. Gokceoğlu,et al.  A statistical assessment on international landslide literature (1945–2008) , 2009 .

[27]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[28]  Aykut Akgün A comparison of landslide susceptibility maps produced by logistic regression, multi-criteria decision, and likelihood ratio methods: a case study at İzmir, Turkey , 2012 .

[29]  J. Hanley,et al.  The meaning and use of the area under a receiver operating characteristic (ROC) curve. , 1982, Radiology.

[30]  L. Ermini,et al.  Artificial Neural Networks applied to landslide susceptibility assessment , 2005 .

[31]  Gwo-Fong Lin,et al.  Effective forecasting of hourly typhoon rainfall using support vector machines , 2009 .

[32]  Umi Kalthum Ngah,et al.  Determination of importance for comprehensive topographic factors on landslide hazard mapping using artificial neural network , 2014, Environmental Earth Sciences.

[33]  Richard Valliant,et al.  Variance inflation factors in the analysis of complex survey data , 2012 .

[34]  Mohsen Nasseri,et al.  Uncertainty assessment of monthly water balance models based on Incremental Modified Fuzzy Extension Principle method , 2013 .

[35]  Dieu Tien Bui,et al.  Spatial prediction of landslide susceptibility using integrated frequency ratio with entropy and support vector machines by different kernel functions , 2016, Environmental Earth Sciences.

[36]  Gwo-Fong Lin,et al.  The effect of data quality on model performance with application to daily evaporation estimation , 2013, Stochastic Environmental Research and Risk Assessment.

[37]  D. Varnes Landslide hazard zonation: A review of principles and practice , 1984 .

[38]  Cheng Su,et al.  Mapping of rainfall-induced landslide susceptibility in Wencheng, China, using support vector machine , 2015, Natural Hazards.

[39]  Chih-Jen Lin,et al.  LIBSVM: A library for support vector machines , 2011, TIST.

[40]  Mu-Chen Chen,et al.  Prediction model building and feature selection with support vector machines in breast cancer diagnosis , 2008, Expert Syst. Appl..

[41]  Gwo-Fong Lin,et al.  A Hybrid Statistical Downscaling Method Based on the Classification of Rainfall Patterns , 2016, Water Resources Management.

[42]  Knut Alfredsen,et al.  Regional frequency analysis of extreme precipitation with consideration of uncertainties to update IDF curves for the city of Trondheim , 2013 .

[43]  A. Erener,et al.  Improvement of statistical landslide susceptibility mapping by using spatial and global regression methods in the case of More and Romsdal (Norway) , 2010 .

[44]  P. C. Stevenson An empirical method for the evaluation of relative landslip risk , 1977 .

[45]  Chunuhng Wu,et al.  Landslide susceptibility mapping by using landslide ratio-based logistic regression: A case study in the southern Taiwan , 2015, Journal of Mountain Science.

[46]  B. Pradhan,et al.  Landslide susceptibility mapping using certainty factor, index of entropy and logistic regression models in GIS and their comparison at Mugling–Narayanghat road section in Nepal Himalaya , 2012, Natural Hazards.

[47]  S. Bai,et al.  Susceptibility assessments of the Wenchuan earthquake-triggered landslides in Longnan using logistic regression , 2013, Environmental Earth Sciences.

[48]  Huan Liu,et al.  Consistency-based search in feature selection , 2003, Artif. Intell..

[49]  I. Yilmaz Comparison of landslide susceptibility mapping methodologies for Koyulhisar, Turkey: conditional probability, logistic regression, artificial neural networks, and support vector machine , 2010 .

[50]  Kuolin Hsu,et al.  Self‐organizing linear output map (SOLO): An artificial neural network suitable for hydrologic modeling and analysis , 2002 .

[51]  Boqiang Lin,et al.  What causes price volatility and regime shifts in the natural gas market , 2013 .

[52]  Jianhua Dai,et al.  Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification , 2013, Appl. Soft Comput..

[53]  B. Pradhan,et al.  Regional landslide susceptibility analysis using back-propagation neural network model at Cameron Highland, Malaysia , 2010 .

[54]  S. Menard Applied Logistic Regression Analysis , 1996 .

[55]  C. Chung,et al.  Predicting landslides for risk analysis — Spatial models tested by a cross-validation technique , 2008 .

[56]  Biswajeet Pradhan,et al.  Spatial prediction models for shallow landslide hazards: a comparative assessment of the efficacy of support vector machines, artificial neural networks, kernel logistic regression, and logistic model tree , 2016, Landslides.

[57]  C. Gokceoğlu,et al.  Use of fuzzy relations to produce landslide susceptibility map of a landslide prone area (West Black Sea Region, Turkey) , 2004 .

[58]  Andrew P. Bradley,et al.  The use of the area under the ROC curve in the evaluation of machine learning algorithms , 1997, Pattern Recognit..

[59]  Paul D. Allison,et al.  Logistic Regression Using the SAS System : Theory and Application , 1999 .

[60]  Nello Cristianini,et al.  An Introduction to Support Vector Machines and Other Kernel-based Learning Methods , 2000 .

[61]  L. Tham,et al.  Landslide susceptibility mapping based on Support Vector Machine: A case study on natural slopes of Hong Kong, China , 2008 .