Abstract
The main goal of this study is to produce landslide susceptibility maps of a landslide-prone area (Haraz) in Iran by using both fuzzy logic and analytical hierarchy process (AHP) models. At first, landslide locations were identified by aerial photographs and field surveys, and a total of 78 landslides were mapped from various sources. Then, the landslide inventory was randomly split into a training dataset 70 % (55 landslides) for training the models and the remaining 30 % (23 landslides) was used for validation purpose. Twelve data layers, as the landslide conditioning factors, are exploited to detect the most susceptible areas. These factors are slope degree, aspect, plan curvature, altitude, lithology, land use, distance from rivers, distance from roads, distance from faults, stream power index, slope length, and topographic wetness index. Subsequently, landslide susceptibility maps were produced using fuzzy logic and AHP models. For verification, receiver operating characteristics curve and area under the curve approaches were used. The verification results showed that the fuzzy logic model (89.7 %) performed better than AHP (81.1 %) model for the study area. The produced susceptibility maps can be used for general land use planning and hazard mitigation purpose.
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References
Akgun A, Turk N (2010) Landslide susceptibility mapping for Ayvalik (Western Turkey) and its vicinity by multi-criteria decision analysis. Environ Earth Sci 61:595–611
Akgun A, Dag S, Fikri B (2008) Landslide susceptibility mapping for a landslide-prone area (Findikli, NE of Turkey) by likelihood-frequency ratio and weighted linear combination models. Environ Geol 54:1127–1143
Akgun A, Kincal C, Pradhan B (2011) Application of remote sensing data and GIS for landslide risk assessment as an environmental threat to Izmir city (West Turkey). Environ Monit Assess. doi:10.1007/s10661-011-2352-8
Akgun A, Sezer EA, Nefeslioglu HA, Gokceoglu C, Pradhan B (2012) An easy-to-use MATLAB program (MamLand) for the assessment of landslide susceptibility using a Mamdani fuzzy algorithm. Comput Geosci 38(1):23–34
Aleotti P, Chowdhury R (1999) Landslide hazard assessment: summary review and new perspectives. B Eng Geol Environ 58:21–44
Althuwaynee O, Pradhan B, Lee S (2012) Application of an evidential belief function model in landslide susceptibility mapping. Comput Gesosci (Article online first available). doi:10.1016/j.cageo.2012.03.003
Alvarez Grima M (2000) Neuro-fuzzy modeling in engineering geology. Balkema, Rotterdam
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
Ayalew L, Yamagishi H, Ugawa N (2004) Landslide susceptibility mapping using GIS-based weighted linear combination, the case in Tsugawa area of Agano River, Niigata Prefecture, Japan. Landslides 1:73–81
Ayalew L, Yamagishi H, Marui H, Kanno T (2005) Landslides in Sado Island of Japan: Part II. GIS-based susceptibility mapping with comparisons of results from two methods and verifications. Eng Geol 81:432–445
Baeza C, Corominas J (2001) Assessment of shallow landslide susceptibility by means of multivariate statistical techniques. Earth Surf Proc Landf 26:1251–1263
Barredo JI, Benavidesz A, Herh J, Van Westen CJ (2000) Comparing heuristic landslide hazard assessment techniques using GIS in the Tirajana basin, Gran Canaria Island, Spain. Int J Appl Earth Obs 2:9–23
Bednarik M, Magulova B, Matys M, Marschalko M (2010) Landslide susceptibility assessment of the Kralovany–Liptovsky Mikulaš railway case study. Phys Chem Earth 35:162–171
Beven K, Kirkby MJ (1979) A physically based, variable contributing area model of basin hydrology. Hydrol Sci Bull 24:43–69
Biswajeet P, Saied P (2010) Comparison between prediction capabilities of neural network and fuzzy logic techniques for landslide susceptibility mapping. Disaster Adv 3(2):26–34
Bonham-Carter GF (1994) Computer methods in the geosciences, vol 13. Pergamon, Ontario, p 398
Brenning A (2005) Spatial prediction models for landslide hazards: review, comparison and evaluation. Nat Hazard Earth Syst 5(6):853–862
Bui DT, Pradhan B, Lofman O, Revhaug I, Dick OB (2011) Landslide susceptibility mapping at Hoa Binh province (Vietnam) using an adaptive neuro-fuzzy inference system and GIS. Comput Geosci. doi:10.1016/j.cageo.2011.10.031
Bui DT, Pradhan B, Lofman O, Revhaug I, Dick OB (2012) 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. doi:10.1016/j.catena.2012.04.001
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, Dordrecht, pp 135–175
Clerici A, Perego S, Tellini C, Vescovi P (2002) A procedure for landslide susceptibility zonation by the conditional analysis method. Geomorphology 48:349–364
Clerici A, Perego S, Tellini C, Vescovi P (2006) A GIS-based automated procedure for landslide susceptibility mapping by the conditional analysis method: The Baganza valley case study (Italian Northern Apennines). Environ Geol 50:941–961
Constantin M, Bednarik M, Jurchescu MC, Vlaicu M (2010) Landslide susceptibility assessment using the bivariate statistical analysis and the index of entropy in the Sibiciu Basin (Romania). Environ Earth Sci. doi:10.1007/s12665-010-0724-y
Dai FC, Lee CF, Xu ZW (2001) Assessment of landslide susceptibility on the natural terrain of Lantau Island, Hong Kong. Environ Geol 40(3):381–391
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
Eastman RJ (2003) IDRISI Kilimanjaro guide to GIS and image processing, manual version 14.00, pp 328
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
Ercanoglu M, Gokceoglu C, Van Asch WJ (2004) Landslide susceptibility zoning of North of Yenice (NW Turkey) by multivariate statistical techniques. Nat Hazards 32:1–23
Ercanoglu M, Kasmer O, Temiz N (2008) Adaptation and comparison of expert opinion to analytical hierarchy process for landslide susceptibility mapping. Bull Eng Geol Environ 67:565–578
Erner A, Sebnem H, Duzgun B (2010) Improvement of statistical landslide susceptibility mapping by using spatial and global regression methods in the case of More and Romsdal (Norway). Landslides 7:55–68
Falaschi F, Giacomelli F, Federici PR, Puccinelli A, D’Amato Avanzi G, Pochini A, Ribolini A (2009) Logistic regression versus artificial neural networks: landslide susceptibility evaluation in a sample area of the Serchio River valley, Italy. Nat Hazards 50:551–569
Fernandez CI, Del Castillo TF, El Hamdouni R, Montero JC (1999) Verification of landslide susceptibility mapping: a case study. Earth Surf Proc Landf 24:537–544
Foumelis M, Lekkas E, Parcharidis I (2004) Landslide susceptibility mapping by GIS-based qualitative weighting procedure in Corinth area. Bulletin of the Geological Society of Greece XXXVI, 904-912. Proceedings of the 10th international congress, Thessaloniki, April 2004
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
Guzzetti F, Carrarra A, Cardinali M, Reichenbach P (1999) Landslide hazard evaluation: a review of current techniques and their application in a multi-scale study, Central Italy. Geomorphology 31:81–216
Hines JW (1997) Fuzzy and neural approaches in engineering. Wiley, New York, NY
Hutchinson JN (1995) Landslide hazard assessment. In: Proceedings of the 6th international symposium on landslide, Christchurch, 1, New Zealand, pp 1805–1842
Iranian Landslide Working Party (ILWP) (2007) Iranian landslides list, forest. Rangeland and Watershed Association, Iran, p 60
Juang CH, Lee DH, Sheu C (1992) Mapping slope failure potential using fuzzy sets. J Geotech Eng Div ASCE 118:475–493
Kanungo DP, Arora MK, Gupta RP, Sarkar S (2005) GIS based landslide hazard zonation using neuro-fuzzy weighting. In: Proceedings of the 2nd industrial international conference on artificial intelligence (IICAI-05), Pune, pp 1222–1237
Komac M (2006) A landslide susceptibility model using the analytical hierarchy process method and multivariate statistics in perialpine Slovenia. Geomorphology 74:17–28
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 (2007) Application and verification of fuzzy algebraic operators to landslide susceptibility mapping. Environ Geol 50:847–855
Lee S, Min K (2001) Statistical analysis of landslide susceptibility at Yongin, Korea. Environ Geol 40:1095–1113
Lee S, Pradhan B (2006) Probabilistic landslide risk mapping at Penang Island, Malaysia. J Earth Syst Sci 115(6):661–672
Lee S, Pradhan B (2007) Landslide hazard mapping at Selangor, Malaysia using frequency ratio and logistic regression models. Landslides 4:33–41
Lee S, Sambath T (2006) Landslide susceptibility mapping in the Damrei Romel area, Cambodia using frequency ratio and logistic regression models. Environ Geol 50:847–855
Lee S, Choi J, Min K (2004a) Probabilistic landslide hazard mapping using GIS and remote sensing data at Boun, Korea. Int J Remote Sens 25:2037–2052
Lee S, Ryu JH, Won JS, Park H (2004b) Determination and application of the weights for landslide susceptibility mapping using an artificial neural network. Eng Geol 71:289–302
Lee S, Choi J, Oh H (2009) Landslide susceptibility mapping using a neuro-fuzzy. Abstract presented at American Geophysical Union, Fall Meeting 2009, abstract #NH53A-1075
Malczewski J (1999) GIS and multi-criteria decision analysis. Wiley, New York, p 392
Moore ID, Burch GJ (1986) Sediment transport capacity of sheet and rill flow: application of unit stream power theory. Water Res 22:1350–1360
Moore ID, Grayson RB, Ladson AR (1991) Digital terrain modeling: a review of hydrological, geomorphological, and biological applications. Hydrol Process 5:3–30
Moore ID, Wilson JP (1992) Length-slope factors for the revised universal soil loss equation: simplified method of estimation. J Soil Water Conserv 47:423–428
Mowen X, Esaki T, Zhou G, Mitani Y (2003) Geographic information systems-based three-dimensional critical slope stability analysis and landslide hazard assessment. J Geotech Geoenviron 129:1109–1119
Nefeslioglu HA, Sezer E, Gokceoglu C, Bozkir AS, Duman TY (2010) Assessment of landslide susceptibility by decision trees in the Metropolitan area of Istanbul, Turkey. Math Probl Eng. doi:10.1155/2010/901095
Nefeslioğlu HA, Gokceoglu C, Sonmez H (2008a) 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(3/4):171–191
Nefeslioğlu HA, Duman TY, Durmaz S (2008b) Landslide susceptibility mapping for a part of tectonic Kelkit Valley (Eastern Black Sea region of turkey). Geomorphology 94(3–4):401–418
Nie HF, Diao SJ, Liu JX, Huang H (2001) The application of remote sensing technique and AHP-fuzzy method in comprehensive analysis and assessment for regional stability of Chongqing City, China. In Proceedings of the 22nd international Asian conference on remote sensing, vol 1, pp 660–665
Ocakoglu F, Gokceoglu C, Ercanoglu M (2002) Dynamics of a complex mass movement triggered by heavy rainfall: a case study from NW Turkey. Geomorphology 42(3):329–341
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
Pachauri AK, Gupta PV, Chander R (1998) Landslide zoning in a part of the Garhwal Himalayas. Environ Geol 36(3–4):325–334
Park NW (2010) Application of Dempster-Shafer theory of evidence to GIS-based landslide susceptibility analysis, Environ Earth Sci. doi:10.1007/s12665-010-0531-5
Pourghasemi HR (2008) Landslide hazard assessment using fuzzy logic (case study: a part of Haraz watershed), a thesis presented for M.Sc. degree in watershed management, Faculty of Natural Resources, Department of Watershed Management, Tarbiat Modarres University, Iran, 92 pp
Pourghasemi HR, Pradhan B, Gokceoglu C, Mohammadi M Moradi HR (2012a) Application of weights-of-evidence and certainty factor models and their comparison in landslide susceptibility mapping at Haraz watershed, Iran. Arab J Geosci. doi:10.1007/s12517-012-0532-7
Pourghasemi HR, Pradhan B, Gokceoglu C, Moezzi KD (2012b) A comparative assessment of prediction capabilities of Dempster-Shaferand weights-of-evidence models in landslide susceptibility mapping using GIS. Geomat Nat Hazards Risk. doi:10.1080/19475705.2012.662915
Pouydal CP, Chang C, Oh HJ, Lee S (2010) Landslide susceptibility maps comparing frequency ratio and artificial neural networks: a case study from the Nepal Himalaya. Environ Earth Sci 61:1049–1064
Pradhan B (2010a) Remote sensing and GIS-based landslide hazard analysis and cross-validation using multivariate logistic regression model on three test areas in Malaysia. Adv Space Res 45:1244–1256
Pradhan B (2010b) Use of GIS-based fuzzy logic relations and its cross application to produce landslide susceptibility maps in three test areas in Malaysia. Environ Earth Sci. doi:10.1007/s12665-010-0705-1
Pradhan B (2010c) 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. doi:10.1007/s12524-010-0020-z
Pradhan B (2011a) Manifestation of an advanced fuzzy logic model coupled with geoinformation techniques for landslide susceptibility analysis. Environ Ecol Stat 18(3):471–493. doi:10.1007/s10651-010-0147-7
Pradhan B (2011b) Use of GIS-based fuzzy logic relations and its cross application to produce landslide susceptibility maps in three test areas in Malaysia. Environ Earth Sci 63(2):329–349
Pradhan B, Buchroithner MF (2010) Comparison and validation of landslide susceptibility maps using an artificial neural network model for three test areas in Malaysia. Environ Eng Geosci 16(2):107–126. doi:10.2113/gseegeosci.16.2.107
Pradhan B, Lee S (2007) Utilization of optical remote sensing data and GIS tools for regional landslide hazard analysis by using an artificial neural network model. Earth Sci Front 14(6):143–152
Pradhan B, Lee S (2009) Landslide risk analysis using artificial neural network model focusing on different training sites. Int J Phys Sci 3(11):1–15
Pradhan B, Lee S (2010a) Delineation of landslide hazard areas on Penang Island, Malaysia, by using frequency ratio, logistic regression, and artificial neural network models. Environ Earth Sci 60:1037–1054
Pradhan B, Lee S (2010b) Landslide susceptibility assessment and factor effect analysis: back-propagation artificial neural networks and their comparison with frequency ratio and bivariate logistic regression modeling. Environ Modell Softw 25(6):747–759
Pradhan B, Lee S (2010c) Remote sensing and GIS-based landslide susceptibility analysis and its cross-validation in three test areas using a frequency ratio model. Photogramm Fernerkun 1:17–32. doi:10.1127/14328364/2010/0037
Pradhan B, Youssef AM (2010) Manifestation of remote sensing data and GIS on landslide hazard analysis using spatial-based statistical models. Arab J Geosci 3(3):319–326
Pradhan B, Singh RP, Buchroithner MF (2006) Estimation of stress and its use in evaluation of landslide prone regions using remote sensing data. Adv Space Res 37:698–709
Pradhan B, Lee S, Mansor S, Buchroithner MF, Jallaluddin N, Khujaimah Z (2008) Utilization of optical remote sensing data and geographic information system tools for regional landslide hazard analysis by using binomial logistic regression model. J Appl Remote Sens 2:1–11
Pradhan B, Lee S, Buchroithner MF (2009) Use of geospatial data for the development of fuzzy algebraic operators to landslide hazard mapping: a case study in Malaysia. Appl Geomatics 1:3–15
Pradhan B, Lee S, Buchroithner MF (2010a) A GIS-based back-propagation neural network model and its cross-application and validation for landslide susceptibility analyses. Comput Environ Urban 34(3):216–235
Pradhan B, Oh HJ, Buchroithner M (2010b) Weights-of-evidence model applied to landslide susceptibility mapping in a tropical hilly area. Geomatics Nat Hazards Risk 1(3):199–223. doi:10.1080/19475705.2010.498151
Pradhan B, Sezer EA, Gokceoglu C, Buchroithner MF (2010c) Landslide susceptibility mapping by neuro-fuzzy approach in a landslide prone area (Cameron Highland, Malaysia). IEEE Trans Geosci Remote Sens 48(12):4164–4177
Pradhan B, Youssef AM, Varathrajoo R (2010d) Approaches for delineating landslide hazard areas using different training sites in an advanced artificial neural network model. Geo-Spat Inform Sci 13(2):93–102. doi:10.1007/s11806-010-0236-7
Pradhan B, Mansor S, Pirasteh S, Buchroithner M (2011) Landslide hazard and risk analyses at a landslide prone catchment area using statistical based geospatial model. Int J Remote Sens 32(14):4075–4087. doi:10.1080/01431161.2010.484433
Ram Mohan V, Jeyaseelan A, Naveen Raj T, Narmatha T, Jayaprakash M (2011) Landslide susceptibility mapping using frequency ratio method and GIS in south eastern part of Nilgiri District, Tamilnadu, India. Int J Geomatics Geosci 1(4):951–961
Saaty TL (1977) A scaling method for priorities in hierarchical structures. J Math Psychol 15:234–281
Saaty TL (1980) The analytical hierarchy process. McGraw-Hill, New York
Saaty TL (1994) Fundamentals of decision making and priority theory with analytic hierarchy process. RWS Publications, Pittsburgh
Saaty TL (2000) Decision making for leaders: the analytical hierarchy process for decisions in a complex world. RWS Publications, Pittsburgh
Saaty TL, Vargas LG (2001) Models, methods, concepts and applications of the analytic hierarchy process. Kluwer, Dordrecht
Saha AK, Gupta RP, Arora MK (2002) GIS-based landslide hazard zonation in the Bhagirathi (Ganga) valley, Himalayas. Int J Remote Sens 23(2):357–369
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
Sezer EA, Pradhan B, Gokceoglu C (2011) Manifestation of an adaptive neuro-fuzzy model on landslide susceptibility mapping: Klang valley, Malaysia. Expert Syst Appl 38(7):8208–8219
Swets JA (1988) Measuring the accuracy of diagnostic systems. Science 240:1285–1293
Tunusluoglu MC, Gokceoglu C, Nefeslioglu HA, Sonmez H (2008) Extraction of potential debris source areas by logistic regression technique: a case study from Barla, Besparmak and Kapi mountains (NW Taurids, Turkey). Environ Geol 54:9–22
Vahidnia MH, Alesheikh AA, Alimohammadi A, Hosseinali F (2010) A GIS-based neurofuzzy procedure for integrating knowledge and data in landslide susceptibility mapping. Comput Geosci 36:1101–1114
Van Den Eeckhaut M, Vanwalleghem T, Poesen J, Govers G, Verstraeten G, Vandekerckhove L (2006) Prediction of landslide susceptibility using rare events logistic regression: a case-study in the Flemish Ardennes (Belgium). Geomorphology 76:392–410
Van Westen CJ, Bonilla JBA (1990) Mountain hazard analysis using PC-based GIS. 6th IAEG congress, vol 1. Balkema, Rotterdam, pp 265–271
Van Westen CJ, Seijmonsbergen AC, Mantovani F (1999) Comparing landslide hazard maps. Nat Hazards 20:137–158
Varnes DJ (1978) Slope movement types and processes. In: Schuster RL, Krizek RJ (eds) Landslides analysis and control. Special report, vol 176. Transportation Research Board, National Academy of Sciences, New York, pp 11–33
Varnes DJ (1981) Slope stability problems of the circum Pacific region as related to mineral and energy resource. In: Halbouty MT (ed) Energy resources of the Pacific region. American Association of Petroleum Geologists Studies in Geology. No. 12, American Association of Petroleum Geologist, Tulsa, Okla., pp 489–505
Voogd H (1983) Multi-criteria evaluation for urban and regional planning. Pion Ltd, London
Wang HB, Sassa K (2005) Comparative evaluation of landslide susceptibility in Minamata area, Japan. Environ Geol 47:956–966
Wilson JP, Gallant JC (2000) Terrain analysis principles and applications. Wiley, New York, NY, USA
Xu C, Xu X, Dai F, Xiao J (2012) Landslide hazard mapping using GIS and weight of evidence model in Qingshui River watershed of 2008 Wenchuan earthquake struck region. J Earth Sci 23(1):97–120
Yagi H (2003) Development of assessment method for landslide hazardness by AHP. Abstract volume of the 42nd annual meeting of the Japan Landslide Society, pp 209–212
Yalcin A (2008) GIS-based landslide susceptibility mapping using analytical hierarchy process and bivariate statistics in Ardesen (Turkey): comparisons of results and confirmations. Catena 72:1–12
Yalcin A, Bulut F (2007) Landslide susceptibility mapping using GIS and digital photogrammetric techniques: a case study from Ardesen (NE-Turkey). Nat Hazards 41:201–226
Yao X, Tham LG, Dai FC (2008) Landslide susceptibility mapping based on support vector machine: a case study on natural slopes of Hong Kong, China. Geomorphology 101:572–582
Yesilnacar E, Topal T (2005) Landslide susceptibility mapping: a comparison of logistic regression and neural networks methods in a medium scale study, Hendek region (Turkey). Eng Geol 79(3–4):251–266
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(4):821–836
Yoshimatsu H, Abe S (2006) A review of landslide hazards in Japan and assessment of their susceptibility using an analytical hierarchic process (AHP) method. Landslides 3:149–158
Youssef AM, Pradhan B, Gaber AFD, Buchroithner MF (2009) Geomorphological hazard analysis along the Egyptian Red Sea coast between Safaga and Quseir. Nat Hazard Earth Sys 9:751–766. doi:10.5194/nhess-9-751-2009
Youssef AM, Pradhan B, Sabtan AA, El-Harbi HM (2012) Coupling of remote sensing data aided with field investigations for geological hazards assessment in Jazan area, Kingdom of Saudi Arabia. Environ Earth Sci 65(1):119–130. doi:10.1007/s12665-011-1071-3
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–352
Zadeh LA (1973) Outline f a new approach to the analysis of complex systems and decision processes. IEEE Trans Syst Man Cybern SMC-3 1:28–46
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Pourghasemi, H.R., Pradhan, B. & Gokceoglu, C. Application of fuzzy logic and analytical hierarchy process (AHP) to landslide susceptibility mapping at Haraz watershed, Iran. Nat Hazards 63, 965–996 (2012). https://doi.org/10.1007/s11069-012-0217-2
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DOI: https://doi.org/10.1007/s11069-012-0217-2