Abstract
Landslides are recognized as one of the most important natural hazards in many areas throughout the world. Producing landslide susceptibility maps have received particular attention from a wide range of scientists. The main objective of this study was to produce landslide susceptibility maps using hybrid wavelet packet-statistical models (WP-SM). In the first step, landslide susceptibility maps were produced using single artificial neural network (ANN), support vector machine (SVM), maximum entropy (MaxEnt), and generalized linear model (GLM). In the next step, the input maps were preprocessed using different mother wavelets in different levels. Then, the hybrid models were developed using the wavelet-based preprocessed maps. Results showed that the wavelet packet transform can be effectively used to produce precise landslide susceptibility maps. It was shown that wavelet packet transform significantly enhanced the ability of the single statistical models. The kappa coefficients were increased from 0.829 to 0.941, 0.846 to 0.978, 0.744 to 0.829, and 0.735 to 0.817 in hybrid ANN, SVM, MaxEnt, and GLM, respectively. The best wavelet transform was performed using bior1.5 with a three-level decomposition. It was also recognized that MaxEnt and GLM produced approximately poor results. However, SVM performed better than the other three models both in single and hybrid forms. ANN also outperformed MaxEnt and GLM models. Spatial distribution of the susceptible area is consistent with the observed landslide distribution pattern particularly in maps obtained from the hybrid models. The produced maps showed that the general pattern of susceptible area intensively followed the pattern of roads and sensitive geological formations.
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References
Abe S (2010) Support vector machines for pattern classification. Springer 2010, pp 435
Ablay G, Hürliman M (2000) Evolution of the north flank of Tenerife by recurrent giant landslides. J Volcanol Geotherm Res 103:135–159
Adamowski J (2007) Development of a short-term river flood forecasting method based on wavelet analysis. Polish Academy of Sciences Publication, Warsaw, p 172
Adamowski J, Sun K (2010) Development of a coupled wavelet transform and neural network method for flow forecasting of non-perennial rivers in semi-arid watersheds. J Hydrol 390(1–2):85–91
Akgun A, Turk N (2010) Landslide susceptibility mapping for Ayvalik (Western Turkey) and its vicinity by multi criteria decision analysis. Environ Earth Sci 61(3):595–611
Akgun A, Dag S, Bulut F (2008) Landslide susceptibility mapping for a landslideprone area (Findikli, NE of Turkey) by likelihood frequency ratio and weighted linear combination models. Environ Geol 54(6):1127–1143
Atkinson PM, Massari R (1998) Generalised linear modelling of susceptibility to landsliding in the central apennines, Italy. Comput Geosci 24(4):373–385
Ayalew L, Yamagishi H (2005) The application of GIS-based logistic regression for landslide susceptibility mapping in the Kakuda-Yahiko Mountains, Central Japan. Geomorphology 65(1/2):15–31
Bednarik M, Magulová B, Matys M, Marschalko M (2010) Landslide susceptibility assessment of the Kraľovany–Liptovský Mikuláš railway case study. Phys Chem Earth Parts A/B/C 35(3–5):162–171
Beven K, Kirkby MJ (1979) A physically based, variable contributing area model of basin. Hydrol Sci Bull 24:43–69
Bishop AJ (1994) Cultural conflicts in mathematics education: developing a research agenda. Learn Math 14(2):15–18
Böhner J, McCloy KR, Strobl J (2006) SAGA—analysis and modelling applications, vol. 115. Göttinger Geographische Abhandlungen, Göttinger, p 130
Borah S, Hines EL, Bhuyan M (2007) Wavelet transform based image texture analysis for size estimation applied to the sorting of tea granules. J Food Eng 79:629–639
Brenning A (2005) Climatic and geomorphological controls of rock glaciers in the Andes of Central Chile: combining statistical modelling and field mapping, Dissertation, Mathematisch- Naturwissenschaftliche Fakult¨at II, Humboldt-Universit¨at zu Berlin, Berlin, urn:nbn:de:kobv:11-10049648, pp, 412
Brückl EP (2001) Cause-effect models of large landslides. Nat Hazards 23:291–314
Burt T, Butcher D (1986) Stimulation from simulation? a teaching model of hillslope hydrology for use on microcomputers. J Geogr High Educ 10(1):23–39
Camps-Valls G, Bruzzone L (2005) Kernel-based methods for hyperspectral image classification. IEEE Trans Geosci Remote Sens 43(6):1351–1362
Cannas B, Fanni A, Sias G, Tronei S, Zedda MK (2006) River flow forecasting using neural networks and wavelet analysis. Proceedings of the European Geosciences Union, In, pp 234–243
Carrara A, Cardinali M, Guzzetti F, Reichenbach P (1995) GIS technology in mapping landslide hazard. In: Carrara A, Guzzetti F (eds) Geographical information systems in assessing natural hazards. Kluwer, The Netherlands, pp 135–175
Cevik E, Topal T (2003) GIS-based landslide susceptibility mapping for a roblematic segment of the natural gas pipeline, Hendek (Turkey). Environ Geol 44:949–962
Clerici A, Perego S, Tellini C, Vescovi P (2002) A procedure for landslide susceptibility zonation by the conditional analysis method. Geomorphology 48:349–364
Conforti M, Robustelli G, Muto F, Critelli S (2011) Application and validation of bivariate GIS-based landslide susceptibility assessment for the Vitravo river catchment (Calabria, south Italy). Nat Hazards 61:127–141
Conforti M, Pascale S, Robustelli G, Sdao F (2014) Evaluation of prediction capability of the artificial neural networks for mapping landslide susceptibility in the Turbolo River catchment (northern Calabria, Italy). Catena 113:236–250
Cruden DM, Varnes, DJ (1996) Landslide types and processes. In: Turner AK, Schuster RL (eds) Landslides, investigation and mitigation. Special Report 247, Transportation Research Board, Washington, DC, pp 36-75. ISSN: 0360-859X, ISBN: 030906208X
Dai FC, Lee CF, Li J, Xu ZW (2001) Assessment of landslide susceptibility on the natural terrain of Lantau Island, HongKong. Environ Geol 40:381–391
Daubechies I (1988) Orthonormal bases of compactly supported wavelets. Commun Pure Appl Math 41:909–996
Demirhan A, Guler I (2011) Combining stationary wavelet transform and self-organizing maps for brain MR image segmentation. Eng Appl Artif Intell 24:358–367
Devkota KC, Regmi AD, Pourghasemi HR, Yoshida K, Pradhan B, Ryu IC, Dhital MR, Althuwaynee OF (2012) 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. Nat Hazards 65:135–165
Duman TY, Can T, Gokceoglu C, Nefeslioglu HA, Sonmez H (2006) Application of logistic regression for landslide susceptibility zoning of Cekmece Area, Istanbul, Turkey. Environ Geol 51:241–256
Eberhardt E, Thuro K, Luginbuehl M (2005) Slope instability mechanisms in dipping interbedded conglomerates and weathered marls-the 1999 Rufi landslide, Switzerland. Eng Geol 77:35–56
Egan J (1975) Signal detection theory and ROC analysis. Academic, New York
El Khattabi J, Carlier E (2004) Tectonic and hydrodynamic control of landslides in the northern area of the Central Rif, Morocco. Eng Geol 71(3–4):255–264
Ercanoglu M, Gokceoglu C (2002) Assessment of landslide susceptibility for a landslide-prone area (North of Yenice, NW Turkey) by fuzzy approach. Environ Geol 41:720–730
Ercanoglu M, Gokceoglu C (2004) Use of fuzzy relations to produce landslide susceptibility map of a landslide prone area (West Black Sea Region, Turkey). Eng Geol 75:229–250
ESRI (1995) ArcGIS Help File. ArcGIS
Fawcett T (2006) An introduction to ROC analysis. Pattern Recogn Lett 27:861–874
Foody GM, Mathur A (2004) A relative evaluation of multiclass image classification by support vector machine. IEEE Trans Geosci Remote Sens 42(6):1335–1343
Fratinni P, Crosta G, Carrara A (2010) Techniques for evaluating the performance of landslide susceptibility models. Eng Geol 111:62–72
Fredlund DG (1987) Slope stability analysis incorporating the effect of soil suction. In: Anderson MG, Richards KS (eds) Slope stability: geotechnical engineering and geomorphology. Wiley, Chichester, pp 113–144
Frizzelle BG, Moody A (2001) Mapping continuous distributions of land cover—a comparison of maximum likelihood estimation and artificial neural networks. Photogramm Eng Remote Sens 3:67693–67705
Garcia C, Zikos G, Tziritas G (2000) Wavelet packet analysis for face recognition. Image Vis Comput 18:289–297
Garrett JH (1994) Where and why artificial neural networks are applicable in civil engineering. J Comput Civ Eng 8(2):129–130, special iusse
Glade T, Anderson M, Crozier MJ (2005) Landslide hazard and risk. Wiley, New York, p 824
Gokceoglu C, Aksoy H (1996) Landslide susceptibility mapping of the slopes in the residual soils of the Mengen region (Turkey) by deterministic stability analyses and image processing techniques. Eng Geol 44:147–161
Gokceoglu C, Sezer E (2009) A statistical assessment on international landslide literature (1945–2008). Landslides 6(4):345–351
Gokceoglu C, Sonmez H, Nefeslioglu HA, Duman TY, Can T (2005) Kuzulu landslide (Sivas, Turkey) and landslide-susceptibility map of its near vicinity. Eng Geol 81(1):65–83
Goldberg Y, Elhadad M (2008) splitSVM: fast, space-efficient, non-heuristic, polynomial kernel computation for NLP applications. Proc. ACL-08: HLT. Proceedings of ACL-08: HLT, Short Papers (Companion Volume), pages 237–240
Gomez H, Kavzoglu T (2005) Assessment of shallow landslide susceptibility using artificial neural networks in Jabonosa River Basin. Venezuela Eng Geol 78:11–27
Greenbaum D, Tutton M, Bowker M, Browne T, Buleka J, Greally K, Kuna G, McDonald A, Marsh S, O’Connor E, Tragheim D (1995) Rapid methods of landslide hazard mapping: Papua New Guinea case study. British Geological Survey. Technical Report WC/95/27
Guthrie RH (2002) The effects of logging on frequency and distribution of landslides in three watersheds on Vancouver Island, British Columbia. Geomorphology 43:273–292
Guthrie RH, Hockin A, Colquhoun L, Nagy T, Evans SG, Ayles C (2010) An examination of controls of debris flow mobility: evidence from coastal British Columbia. Geomorphology 114:601–613
Guzzetti F, Reichenbach P, Ardizzone F, Cardinali M, Galli M (2006) Estimating the quality of landslide susceptibility models. Geomorphology 81:166–184
Hall FG, Townshend JR, Engman ET (1995) Status of remote sensing algorithms for estimation of land surface state parameters. Remote Sens Environ 51:138–156
Harison JV, Falcon NL (1936) An ancient landslip at Seymareh in southwestern Iran. Geol J Geol 46:296–309
Havenith HB, Strom A, Caceres F, Pirard E (2006) Analysis of landslide susceptibility in the Suusamyr region, Tien Shan: statistical and geotechnical approach. Landslides 3:39–50
Heumann BW, Walsh SJ, McDaniel PM (2011) Assessing the application of a geographic presence-only model for land suitability mapping. Ecol Inform 6:257–269
Hinton GE (1992) How neural networks learn from experience. Sci Am 267:145–151
Inglès J, Darrozes J, Soula JC (2006) Effects of vertical component of ground shaking on earthquake-induced landslide displacements using generalized Newmark’s analysis. Eng Geol 86:134–147
Jordan C, O’Connor E, Marchant A, Northmore A, Greenbaum D, McDonald A, Kovacik M, Ahmed R (2000) Rapid landslide susceptibility mapping using remote sensing and GIS modelling. Proc. 14th International Conference on Applied Geologic Remote Sensing, Las Vegas, pp 113–120
Kanevski M, Pozdnoukhov A, Timonin V (2009) Machine learning for spatial environmental data: theory, applications and software. EPFL Press, Lausanne, p pp 275
Kanungo DP, Arora MK, Sarkar S, Gupta RP (2006) A comparative study of conventional, ANN black box, fuzzy and combined neural and fuzzy weighting procedures for landslide susceptibility zonation in Darjeeling Himalayas. Eng Geol 85:347–366
Kavzoglu T, Mather PM (2003) The use of back-propagating artificial neural networks in land cover classification. Int J Remote Sens 24(23):4907–4938
Khanh NQ (2009) Landslide hazard assessment in muonglay, Vietnam applying GIS and remote sensing. Dr. rer. nat. at the Faculty of Mathematics and Natural Sciences Ernst-Moritz-Arndt-University Greifswald
Kisi O (2009) Neural networks and wavelet conjunction model for intermittent streamflow forecasting. J Hydrol Eng 14:773–782
Kuriakose SL, van Beek LPH (2011) Plant root strength and slope stability. In Glinski J, Horabik J, Lipiec J (eds). Encyclopaedia of Agrophysics. Springer. doi:10.1007/978-90-481-3585-1
Kuriakose SL, Devkota S, Rossiter DG, Jetten VG (2009a) Prediction of soil depth using environmental variables in an anthropogenic landscape, a case study in the Western Ghats of Kerala, India. Catena 79:27–38
Kuriakose SL, van Beek LPH, van Westen CJ (2009b) Parameterizing a physically based shallow landslide model in a data poor region. Earth Surf Process Landf 34(6):867–881
Lee S (2005) Application of logistic regression model and its validation for landslide susceptibility mapping using GIS and remote sensing data. Int J Remote Sens 26:1477–1491
Lee S, Min K (2001) Statistical analysis of landslide susceptibility at Yongin, Korea. Environ Geol 40:1095–1113
Lee S, Pradhan B (2007) Landslide hazard mapping at Selangor, Malaysia using frequency ratio and logistic regression models. Landslides 4:33–41
Lee S, Ryu JH, Won JS, Park HJ (2004) Determination and application of the weights for landslide susceptibility mapping using an artificial neural network. Eng Geol 71:289–302
Li TS (2009) Applying wavelet transform, rough set theory and support vector machine for copper clad laminate defects classification. Expert Syst Appl 36(3):5822–5829
Lineback M, Andrew W, Aspinall R, Custer S (2001) Assessing landslide potential using GIS, soil wetness modelling and topographic attributes, Payette River, Idaho. Geomorphology 37:149–165
Liu Y, Ngan KN (2006) Embedded wavelet packet object-based image coding based on context classification and quadtree ordering Signal Processing. Image Commun 21:143–155
Mallat SG (1989) A theory for multi resolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell 11:674–693
Marjanović M, Kovačević M, Bajat B, Voženílek V (2011) Landslide susceptibility assessment using SVM machine learning algorithm. Eng Geol 123:225–234
Mihaela C, Bednarik M, Jurchescu MC, Vlaicu M (2011) Landslide susceptibility assessment using the bivariate statistical analysis and the index of entropy in the Sibiciu Basin (Romania). Environ Earth Sci 63(2):397–406
Mishra AK, Desai VR (2006) Drought forecasting using feed-forward recursive neural network. Ecol Model 198(1–2):127–138
Moon V, Simpson CJ (2002) Large-scale mass wasting in ancient volcanic material. Eng Geol 64:41–64
Moore ID, Burch GJ (1986) Sediment transport capacity of sheet and rill flow: application of unit stream power theory. Water Resour Res 22:1350–1360
Moore ID, Grayson RB, Ladson AR (1991) Digital terrain modeling: a review of hydrological, geomorphological, and biological applications. Hydrol Process 53–30
Moore ID, Gessler PE, Nielsen GA, Peterson GA (1993) Soil attribute prediction using terrain analysis. Soil Sci Soc Am J 57:443–452
Moosavi V, Fallah Shamsi SR, Moradi HR, Shirmohammadi B (2013a) Application of Taguchi method to satellite image fusion for object-oriented mapping of Barchan dunes. Geosci J. doi:10.1007/s12303-013-0044-9
Moosavi V, Vafakhah M, Shirmohammadi B, Behnia N (2013b) A wavelet-ANFIS hybrid model for groundwater level forecasting for different prediction periods. Water Resour Manag 27:1301–1321
Moosavi V, Vafakhah M, Shirmohammadi B, Ranjbar M (2013c) Optimization of wavelet-ANFIS and wavelet-ANN hybrid models by Taguchi method for groundwater level forecasting. Arab J Sci Eng 39:1785–1796
Moosavi V, Talebi A, Shirmohammadi B (2014) Producing a landslide inventory map using pixel-based and object-oriented approaches optimized by Taguchi method. Geomorphology 204:646–656
Nagarajan R, Roy A, Vinod Kumar R, Mukherjee A, Khire MV (2000) Landslide hazard susceptibility mapping based on terrain and climatic factors for tropical monsoon regions. Bull Eng Geol Environ 58:275–287
Nefeslioglu HA, Gokceoglu C, Sonmez H (2008) An assessment on the use of logistic regression and artificial neural networks with different sampling strategies for the preparation of landslide susceptibility maps. Eng Geol 97:171–191
Nourani V, Alami MT, Aminfar MH (2009) A combined neural-wavelet model for prediction of watershed precipitation, Lighvanchai, Iran. Eng Appl Artif Intell 16:1–12
Ogden RT (1997) Essential wavelets for statistical applications and data analysis. Birkhauser, Boston
Oh HJ, Pradhan B (2011) Application of a neuro-fuzzy model to landslide susceptibility mapping for shallow landslides in tropical hilly area. Comput Geosci 37(9):1264–1276
Park CJ, Lee HK, Song WY (2011) Thorsten Graeve Achterkirchen, Ho Kyung Kim, 2011, Defective pixel map creation based on wavelet analysis in digital radiography detectors. Nucl Inst Methods Phys Res A 634:101–105
Peng ZK, Chu FL (2004) Application of the wavelet transform in machine condition monitoring and fault diagnostics: A review with bibliography. Mech Syst Signal Process 18(2):199–221
Phillips SJ, Anderson RP, Schapire RE (2006) Maximum entropy modeling of species geographic distributions. Ecol Model 190(3–4):231–259
Pourghasemi HR, Gokceoglu C, Pradhan B, Deylami Moezzi K (2012a) Landslide susceptibility mapping using a spatial multi criteria evaluation model at Haraz Watershed, Iran. In: Pradhan B, Buchroithner M (eds) Terrigenous mass movements. Springer-Verlag, Berlin, pp 23–49. doi:10.1007/978-303-642-25495-6-2
Pourghasemi HR, Mohammady M, Pradhan B (2012b) Landslide susceptibility mapping using index of entropy and conditional probability models in GIS: Safarood Basin, Iran. Catena 97:71–84
Pourghasemi HR, Pradhan B, Gokceoglu C (2012c) Application of fuzzy logic and analytical hierarchy process (AHP) to landslide susceptibility mapping at Haraz watershed, Iran. Nat Hazards 63(2):965–996
Pourghasemi HR, Pradhan B, Gokceoglu C, Deylami Moezzi K (2012d) A comparative assessment of prediction capabilities of Dempster-Shafer and Weights-of-evidence models in landslide susceptibility mapping using GIS, Geomatics. Nat Hazards Risk 4(2):93–118
Pradhan B (2010a) Application of an advanced fuzzy logic model for landslide susceptibility analysis. Int J Comput Intell Syst 3(3):370–381
Pradhan B (2010b) Landslide susceptibility mapping of a catchment area using frequency ratio, fuzzy logic and multivariate logistic regression approaches. J Indian Soc Remote Sens 38(2):301–320
Pradhan B (2011) Manifestation of an advanced fuzzy logic model coupled with Geo-information techniques to landslide susceptibility mapping and their comparison with logistic regression modelling. Environ Ecol Stat 18:471–493
Pradhan B (2013) A comparative study on the predictive ability of the decision tree, support vector machine and neuro-fuzzy models in landslide susceptibility mapping using GIS. Comput Geosci 51:350–365
Pradhan B, Lee S (2010) Landslide susceptibility assessment and factor effect analysis: backpropagation artificial neural networks and their comparison with frequency ratio and bivariate logistic regression modeling. Environ Model Softw 25:747–759
Saha AK, Gupta RP, Sarkar I, Arora MK, Csaplovics E (2005) An approach for GIS-based statistical landslide susceptibility zonation with a case study in the Himalayas. Landslides 2:61–69
Sanchez G, Rolland Y, Corsini M, Braucher R, Bourlès D, Arnold M, Aumaître G (2010) Relationships between tectonics, slope instability and climate change: Cosmic ray exposure dating of active faults, landslides and glacial surfaces in the SW Alps. Geomorphology 117:1–13
Shinde AD (2004) A wavelet packet based sifting process and its application for structural health monitoring. Master Thesis, Faculty of Worcester Polytechnic Institute
Shirmohammadi B, Moradi HR, Moosavi V, Taie Semiromi M, Zeinali A (2013) Forecasting of meteorological drought using Wavelet- ANFIS hybrid model for different time steps (case study: southeastern part of east Azerbaijan province, Iran). Nat Hazards 69:389–402
Sidle RC, Ochiai H (2006) Landslides: processes, prediction, and landuse. American Geophysical Union, Washington, DC. Water Resources Monograph No. 18: 312 pp
Skempton AV, Hutchinson JN (1969) Stability of natural slopes and embankment foundations. In: State of Art Report, 7th International Conference on Soil Mechanics and Foundation Engineering, Mexico, pp 291-335
Song S, Zhan Z, Long Z, Zhang J, Yao L (2011) Comparative study of SVM methods combined with voxel selection for object category classification on fMRI data. PLoS ONE 6(2), e17191
Sörensen SA, Bauer B (2003) On the dynamics of the Köfels sturzstrom. Geomorphology 54:11–19
Tabachnick BG, Fidell LS (1996) Using multivariate statistics, 3rd edn. Harper Collins, New York, p 880
Tagluk ME, Akin M, Sezgin N (2010) Classification of sleep apnea by using wavelet transform and artificial neural networks. Expert Syst Appl 37(2):1600–1607
Taguchi G (1990) Introduction to quality engineering. McGraw-Hill, New York, p 191
Talebi A, Uijlenhoet R, Troch PA (2008) A low-dimensional physically-based model of hydrologic control on shallow landsliding in complex hillslopes. Earth Surf Process Landf 33. doi:10.1002/esp.1648
Tang Z, Fishwick PA (1993) Feedforward neural nets as models for time series forecasting. ORSA J Comput 5(4):374–385
Tien Bui D, Pradhan B, Lofman O, Revhaug I (2012a) Landslide susceptibility assessment in vietnam using support vector machines, decision tree, and Naive Bayes Models. Math Probl Eng. doi:10.1155/2012/974638, 26 pp
Tien Bui D, Pradhan B, Lofman O, Revhaug I, Dick OB (2012b) Spatial prediction of landslide hazards in Hoa Binh province (Vietnam): a comparative assessment of the efficacy of evidential belief functions and fuzzy logic models. Catena 96:28–40
Tien Bui D, Pradhan B, Lofman O, Revhaug I, Dick OB (2012c) Landslide susceptibility assessment in the Hoa Binh province of Vietnam: a comparison of the Levenberg–Marquardt and Bayesian regularized neural networks. Geomorphology 171:12–29
Tien Bui D, Pradhan B, Lofman O, Revhaug I, Dick OB (2012d) Landslide susceptibility mapping at Hoa Binh province (Vietnam) using an adaptive neuro-fuzzy inference system and GIS. Comput Geosci 45:199–211
Troch PA, Paniconi C, van Loon EE (2003) Hillslope-storage Boussinesq model for subsurface flow and variable source areas along complex hillslopes. 1. Formulation and characteristic response. Water Resour Res 39:1316–1330
Tu JV (1996) Advantages and disadvantages of using artificial neural networks versus logistic regression for predicting medical outcomes. J Clin Epidemiol 49(11):1225–1231
University of Utah (1984) Flooding and landslide in Utah—an economic impact analysis. bur. Of Econ. Devel. And Utah office of Plan. Budget, Salt Lake city. Bureau of Economic Development and Utah Office of Planning and Budget, Salt Lake City, 123 pp
Van Beek LPH, van Asch TWJ (2004) Regional assessment of the effects of land-use change and landslide hazard by means of physically based modeling. Nat Hazards 30(3):289–304
Van Beek LPH, Wint J, Cammeraat LH, Edwards JP (2005) Observation and simulation of root reinforcement on abandoned Mediterranean slopes. Plant Soil 278:55–74
Vapnik VN (2001) The nature of statistical learning theory. Statistics for Engineering and Information Science, 2nd edn. Springer, New York
Varnes DJ (1984) Landslide hazard zonation preview of principals and practice, Paris, UNESCO, International association of engineering geologists, commission on landslides and other mass movements on slopes. Nat Hazards 3:176
Viera AJ, Garrett JM (2005) Understanding interobserver agreement: the kappa statistic. Fam Med 37(5):360–363
Vijith H, Madhu G (2008) Estimating potential landslide sites of an upland sub-watershed in Western Ghat’s of Kerala (India) through frequency ratio and GIS. Environ Geol 55(7):1397–1405
Vivas L (1992) Los Andes Venezolanos. Academia Nacional de la Historia, Caracas
Wang CM, Huang YF (2009) Evolutionary-based feature selection approaches with new criteria for data mining: a case study of credit approval data. Expert Syst Appl 36(3):5900–5908
Wang XY, Yang HY, Fu ZK (2010) A new wavelet-based image denoising using undecimated discrete wavelet transform and least squares support vector machine. Expert Syst Appl 37(10):7040–7049
Watkins LR (2012) Review offringepatternphaserecoveryusingthe1-Dand2-Dcontinuous wavelet transforms. Opt Lasers Eng 50:1015–1022
Wilson RC, Keefer DK (1985) Predicting aerial limits of earthquake-induced landsliding. In: J.I. Ziony (ed), Evaluating earthquake hazards in the Los Angeles region - An Earth-Science perspective. USGS Professional paper 1360: 316-345
Wischmeier W, Smith D (1978) Predicting rainfall erosion losses—a guide to conservation planning. U.S. Department of Agriculture Science and Education Administration, Washington, DC
Wong FS (1991) Time series forecasting using backpropagation neural networks. Neurocomputing 2:147–159
Wong WK, Yuen CWM, Fan DD, Chan LK, Fung EHK (2009) Stitching defect detection and classification using wavelet transform and BP neural network. Expert Syst Appl 36(2 (part 2)):3845–3856
Xu C, Dai F, Xu X, Lee YH (2012) GIS-based support vector machine modeling of earthquake-triggered landslide susceptibility in the Jianjiang River watershed, China. Geomorphology 145–146:70–80
Xu C, Dai FC, Xu XW, Lee YH (2013a) GIS-based support vector machine modeling of earthquake-triggered landslide susceptibility in the Jianjiang River watershed, China. Geomorphology 145–146:70–80
Xu C, Xu X, Yao Q, Wang Y (2013b) GIS-based bivariate statistical modelling for earthquake-triggered landslides susceptibility mapping related to the 2008 Wenchuan earthquake, China. Q J Eng Geol Hydrogeol 46(2):221–236
Xu C, Xu X, Yao X, Dai F (2014) Three (nearly) complete inventories of landslides triggered by the May 12, 2008 Wenchuan Mw 7.9 earthquake of China and their spatial distribution statistical analysis. Landslides 11(3):441–461
Yao X, Tham LG, Dai FC (2008) Landslide susceptibility mapping based on Support VectorMachine: a case study on natural slopes of Hong Kong, China. Geomorphology 101:572–582
Yilmaz I (2009) Landslide susceptibility mapping using frequency ratio, logistic regression, artificial neural networks and their comparison: a case study from Kat landslides (Tokat-Turkey). Comput Geosci 35:1125–1138
Yilmaz I (2010) Comparison of landslide susceptibility mapping methodologies for Koyulhisar, Turkey: conditional probability, logistic regression, artificial neural networks, and support vector machine. Environ Earth Sci 61:821–836
Zhou R, Bao W, Li N, Huang X, Yu D (2010) Mechanical equipment fault diagnosis based on redundant second generation wavelet packet transform. Digit Signal Process 20:276–288
Zhu G, Blumberg DG (2002) Classification using ASTER data and SVM algorithms; the case study of Beer Sheva, Israel. Remote Sens Environ 80(2):233–240
Zou W, Chi Z, Lo KC (2008) Improvement of image classification using wavelet coefficients with structured-based neural network. Int J Neural Syst 18(3):195–205
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Moosavi, V., Niazi, Y. Development of hybrid wavelet packet-statistical models (WP-SM) for landslide susceptibility mapping. Landslides 13, 97–114 (2016). https://doi.org/10.1007/s10346-014-0547-0
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DOI: https://doi.org/10.1007/s10346-014-0547-0