Abstract
As the frequency and intensity of heavy rainfall increase, the frequency of extreme rainfall-induced landslides also increases. Thus, the importance of accurate assessment of extreme rainfall-induced landslide hazard increases. Landslide hazard assessment requires estimations of two components: spatial probability and temporal probability. While various approaches have been successfully used to estimate spatial landslide susceptibility, fewer studies have addressed temporal probability and, consequently, a commonly accepted method does not exist. Prior approaches have estimated temporal probability using frequency analysis of past landslides or landslide triggering rainfall events. Hence, a large amount of information was required: sufficiently complete historical data on recurrent landslides and repetitive rainfall events. However, in many cases, it is difficult to obtain such complete historical data. Therefore, this study developed a new approach that can be applied to an area where incomplete data are available or where nonrepetitive landslide events have occurred. To evaluate the temporal probability of landslide occurrence, the developed approach adopted extreme value analysis using the Gumbel distribution. The exceedance probability of a rainfall threshold was evaluated, using the Gumbel model, with 72-h antecedent rainfall threshold. This probability was then considered to be the temporal probability of landslide occurrence. The temporal probability of landslides was then integrated with landslide susceptibility results from a multi-layer perceptron model. Consequently, the landslide hazards for different future time periods, from 1 to 200 years, were estimated.
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Afungang RN, Bateira CV (2016) Temporal probability analysis of landslides triggered by intense rainfall in the Bamenda Mountain Region, Cameroon. Environ Earth Sci 75(12):1032
Aleotti P (2004) A warning system for rainfall-induced shallow failures. Eng Geol 73(3–4):247–265
Althuwaynee OF, Pradhan B, Park HJ, Lee JH (2014) A novel ensemble bivariate statistical evidential belief function with knowledge-based analytical hierarchy process and multivariate statistical logistic regression for landslide susceptibility mapping. Catena 114:21–36
Bogaard T, Greco R (2018) Invited perspectives: hydrological perspectives on precipitation intensity-duration thresholds for landslide initiation: proposing hydro-meteorological thresholds. Nat Hazards Earth Syst Sci 18(1):31–39
Brabb EE (1985) Innovative approaches to landslide hazard and risk mapping. Proceedings of the International Landslide Symposium, Toronto, Canada 1:17–22
Brunetti MT, Peruccacci S, Rossi M, Luciani S, Valigi D, Guzzetti F (2010) Rainfall thresholds for the possible occurrence of landslides in Italy. Nat Hazards Earth Syst Sci 10(3):447–458
Canli E, Lounge B, Glade T (2018a) Spatially distributed rainfall information and its potential for regional landslide early warning systems. Nat Hazards 91:S103–S127
Canli E, Mergili M, Thiebes B, Glade T (2018b) Probabilistic landslide ensemble prediction systems: lessons to be learned from hydrology. Nat Hazards Earth Syst Sci 18:2183–2202
Cascini L, Bonnard C, Corominas J, Jibson R, Montero-Olarte J (2005) Landslide hazard and risk zoning for urban planning and development. In: Hungr O, Fell R, Couture R, Eberhardt E (eds) Landslide risk management. CRC Press, pp 209–246
Chae BG, Park HJ, Catani F, Simoni A, Berti M (2017) Landslide prediction, monitoring and early warning: a concise review of state-of-the-art. Geosci J 21(6):1033–1070
Chen HX, Zhang LM (2014) A physically based distributed cell model for predicting regional rainfall-induced shallow slope failures. Eng Geol 176:79–92
Chen W, Xie X, Wang J, Pradhan B, Hong H, Tien Bui D, Duan Z, Ma J (2017) A comparative study of logistic model tree, random forest, and classification and regression tree models for spatial prediction of landslide susceptibility. Catena 151:147–160
Chen W, Zhang S, Li R, Shahabi H (2018) Performance evaluation of the GIS-based data mining techniques of best-first decision tree, random forest, and naïve Bayes tree for landslide susceptibility modeling. Sci Total Environ 644:1006–1018
Chiang SH, Chang KT (2009) Application of radar data to modeling rainfall-induced landslides. Geomorphology 103:299–309
Chleborad AF, Baum RL, Godt JW (2006) Rainfall thresholds for forecasting landslides in the Seattle, Washington, area: exceedance and probability. US Geological Survey Open-File Report, 1064
Chou HT, Lee CF, Lo CM, Lin CP (2012) Landslide and alluvial fan caused by an extreme rainfall in Suao, Taiwan. Proceedings of the 11th International Symposium on Landslides (ISL) and the 2nd North American Symposium on Landslides, Banff, Alberta, Canada
Chow VT, Maidment DR, Mays LW (1988) Applied hydrology. McGraw Hill Series in Water Resources and Environmental Engineering
Chung CJ, Fabbri AG (2008) Predicting landslides for risk analysis—spatial models tested by a cross-validation technique. Geomorphology 94(3–4):438–452
Coe JA, Michael JA, Crovelli RA, Savage WZ (2000) Preliminary map showing landslide densities, mean recurrence intervals, and exceedance probabilities as determined from historic records, Seattle, Washington. US Geological Survey Open-File Report, 303
Coles S, Bawa J, Trenner L, Dorazio P (2001) An introduction to statistical modeling of extreme values. Springer, London
Corominas J (2000) Landslides and climate. Proceedings of the 8th International Landslide Symposium, Cardiff, UK 4:1–33
Corominas J, Moya J (2008) A review of assessing landslide frequency for hazard zoning purposes. Eng Geol 102(3–4):193–213
Corominas J, van Westen C, Frattini P, Cascini L, Malet JP, Fotopoulou S, Catani F, Van Den Eeckhaut M, Mavrouli O, Agliardi F, Pitilakis K, Winter MG, Pastor M, Ferlisi S, Tofani V, Hervás J, Smith JT (2014) Recommendations for the quantitative analysis of landslide risk. Bull Eng Geol Environ 73(2):209–263
Crosta GB, Frattini P (2001) Rainfall thresholds for triggering soil slips and debris flow. Proceedings of the 2nd EGS Plinius Conference on Mediterranean Storms, Siena 1:463–487
Crosta GB, Frattini P (2003) Distributed modelling of shallow landslides triggered by intense rainfall. Nat Hazards Earth Syst Sci 3:81–93
Crovelli RA (2000) Probability models for estimation of number and costs of landslides. US Geological Survey Open-File Report, 249
Cybenko G (1989) Approximation by superpositions of a sigmoidal function. Math Control Signals Syst 2(4):303–314
Dahal RK, Hasegawa S (2008) Representative rainfall thresholds for landslides in the Nepal Himalaya. Geomorphology 100(3–4):429–443
Dahal RK, Hasegawa S, Nonomura A, Yamanaka M, Masuda T, Nishino K (2009) Failure characteristics of rainfall-induced shallow landslides in granitic terrains of Shikoku Island of Japan. Environ Geol 56(7):1295–1310
Das I, Stein A, Kerle N, Dadhwal VK (2011) Probabilistic landslide hazard assessment using homogeneous susceptible units (HSU) along a national highway corridor in the northern Himalayas, India. Landslides 8(3):293–308
Dikshit A, Sarkar R, Pradhan B, Jena R, Drukpa D, Alamri AM (2020) Temporal probability assessment and its use in landslide susceptibility mapping for eastern Bhutan. Water 12(1):267
Drissia TK, Jothiprakash V, Anitha AB (2019) Flood frequency analysis using L moments: a comparison between at-site and regional approach. Water Resour Manag 33(3):1013–1037
El Adlouni S, Ouarda TB, Zhang X, Roy R, Bobée B (2007) Generalized maximum likelihood estimators for the nonstationary generalized extreme value model. Water Resour Res 43(3):W03410
Finlay PJ, Fell R, Maguire PK (1997) The relationship between the probability of landslide occurrence and rainfall. Can Geotech J 34(6):811–824
Frattini P, Crosta G, Carrara A (2010) Techniques for evaluating the performance of landslide susceptibility models. Eng Geol 111(1–4):62–72
Gardner MW, Dorling SR (1998) Artificial neural networks (the multilayer perceptron)—a review of applications in the atmospheric sciences. Atmos Environ 32(14–15):2627–2636
Garrett JH (1994) Where and why artificial neural networks are applicable in civil engineering. J Comput Civ Eng 8(2):129–130
Geological Society of Korea (1962) Changdong–Hajinburi geological map sheet. Korea Institute of Geoscience and Mineral Resources
Godt JW, Baum RL, Savage WZ, Salciarini D, Schulz WH, Harp EL (2008) Transient deterministic shallow landslide modeling: requirements for susceptibility and hazard assessments in a GIS framework. Eng Geol 102:214–226
Gomez H, Kavzoglu T (2005) Assessment of shallow landslide susceptibility using artificial neural networks in Jabonosa River Basin, Venezuela. Eng Geol 78(1–2):11–27
Greenwood JA, Landwehr JM, Matalas NC, Wallis JR (1979) Probability weighted moments: definition and relation to parameters of several distributions expressible in inverse form. Water Resour Res 15(5):1049–1054
Gubareva TS, Gartsman BI (2010) Estimating distribution parameters of extreme hydrometeorological characteristics by L-moments method. Water Resour 37(4):437–445
Gutiérrez-Martín A (2020) A GIS-physically-based emergency methodology for predicting rainfall-induced shallow landslide zonation. Geomorphology 359:107121
Guzzetti F, Carrara 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(1–4):181–216
Guzzetti F, Malamud BD, Turcotte DL, Reichenbach P (2002) Power-law correlations of landslide areas in Central Italy. Earth Planet Sci Lett 195(3–4):169–183
Guzzetti F, Reichenbach P, Cardinali M, Galli M, Ardizzone F (2005) Probabilistic landslide hazard assessment at the basin scale. Geomorphology 72(1–4):272–299
Guzzetti F, Galli M, Reichenbach P, Ardizzone F, Cardinali MJNH (2006) Landslide hazard assessment in the Collazzone area, Umbria, Central Italy. Nat Hazards Earth Syst Sci 6:115–131
Guzzetti F, Peruccacci S, Rossi M, Stark CP (2007) Rainfall thresholds for the initiation of landslides in central and southern Europe. Meteorol Atmospheric Phys 98(3–4):239–267
Guzzetti F, Peruccacci S, Rossi M, Stark CP (2008) The rainfall intensity-duration control of shallow landslides and debris flows: an update. Landslides 5:3–17
Hosking JR (1990) L-moments: analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc Series B Stat Methodol 52(1):105–124
Hosking JRM, Wallis JR (1997) Regional frequency analysis: an approach based on L-moments. Cambridge University Press
Hosking JRM, Wallis JR, Wood EF (1985) Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. Technometrics 27(3):251–261
Huffman GJ, Bolvin DT, Nelkin EJ, Wolff DB, Adler RF, Gu G, Hong Y, Bowman KP, Stocker EF (2007) The TRMM multi-satellite precipitation analysis (TMPA): quasi-global, multiyear, combined-sensor precipitation estimates at fine scales. J Hydrometeorol 8:38–55
IPCC (2014) Climate Change 2014. Firth assessment report of IPCC (Intergovernmental Panel on Climate Change), Geneva, Switzerland
Jaiswal P, van Westen CJ (2009) Estimating temporal probability for landslide initiation along transportation routes based on rainfall thresholds. Geomorphology 112(1–2):96–105
Jaiswal P, van Westen CJ, Jetten V (2010) Quantitative landslide hazard assessment along a transportation corridor in southern India. Eng Geol 116(3–4):236–250
Jaiswal P, van Westen CJ, Jetten V (2011) Quantitative estimation of landslide risk from rapid debris slides on natural slopes in the Nilgiri hills, India. Nat Hazards Earth Syst Sci 11(6):1723–1743
Khalil Alsmadi M, Omar KB, Noah SA, Almarashdah I (2009) Performance comparison of multi-layer perceptron (back propagation, delta rule and perceptron) algorithms in neural networks. Proceedings of the 2009 IEEE International Advance Computing Conference, IEEE, pp 296-299
Kim, S. K., Hong, W. P., & Kim, Y. M. (1992). Prediction of rainfall-triggered landslides in Korea. Proceedings of the 6th international symposium on landslides, Balkema, Rotterdam, Netherlands, pp 989-994
Kumar A, Asthana AKL, Priyanka RS, Jayangondaperumal R, Gupta AK, Bhakuni SS (2017) Assessment of landslide hazards induced by extreme rainfall event in Jammu and Kashmir Himalaya, northwest India. Geomorphology 284:72–87
Lee JH, Park HJ (2016) Assessment of shallow landslide susceptibility using the transient infiltration flow model and GIS-based probabilistic approach. Landslides 13:885–903
Lee S, Won JS, Jeon SW, Park I, Lee MJ (2015) Spatial landslide hazard prediction using rainfall probability and a logistic regression model. Math Geosci 47(5):565–589
Martha TR, van Westen CJ, Kerle N, Jetten V, Kumar KV (2013) Landslide hazard and risk assessment using semi-automatically created landslide inventories. Geomorphology 184:139–150
ME (2019) Standard guidelines for design flood estimation. Ministry of Environment
Melillo M, Brunetti MT, Peruccacci S, Gariano S, Guzzetti F (2015) An algorithm for the objective reconstruction of rainfall events responsible for landslides. Landslides 12:311–320
Motamedi M, Liang RY (2014) Probabilistic landslide hazard assessment using copula modeling technique. Landslides 11(4):565–573
National Institute for Disaster Prevention (2006) A study on the monitoring & detection of slope failure (III). Research Report, NIDP-2006-01
National Institute for Disaster Prevention (2009) Study on the steep-slope early warning and evacuation system using rainfall data(II). Research Report, NIDP-2009-07-02
Nefeslioglu HA, Gokceoglu C, Sonmez H, Gorum T (2011) Medium-scale hazard mapping for shallow landslide initiation: the Buyukkoy catchment area (Cayeli, Rize, Turkey). Landslides 8(4):459–483
Oh J, Park HJ (2014) Analysis of landslide triggering rainfall threshold for prediction of landslide occurrence. J Korean Soc Hazard Mitig 14(2):115–129
Paliwal M, Kumar UA (2009) Neural networks and statistical techniques: a review of applications. Expert Syst Appl 36(1):2–17
Park HJ, Lee JH, Woo I (2013) Assessment of rainfall-induced shallow landslide susceptibility using a GIS-based probabilistic approach. Eng Geol 161:1–15
Pham BT, Pradhan B, Tien Bui D, Prakash I, Dholakia MB (2016) A comparative study of different machine learning methods for landslide susceptibility assessment: a case study of Uttarakhand area (India). Environ Model Softw 84:240–250
Pham BT, Tien Bui D, Prakash I, Dholakia MB (2017) Hybrid integration of multilayer perceptron neural networks and machine learning ensembles for landslide susceptibility assessment at Himalayan area (India) using GIS. Catena 149:52–63
Posner AJ, Georgakakos KP (2015) Soil moisture and precipitation thresholds for real-time landslide prediction in El Salvador. Landslides 12:1179–1196
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 AMS, Kim YT (2015) Application and comparison of shallow landslide susceptibility models in weathered granite soil under extreme rainfall events. Environ Earth Sci 73(9):5761–5771
Pradhan B, Lee S (2010) Delineation of landslide hazard areas on Penang Island, Malaysia, by using frequency ratio, logistic regression, and artificial neural network models. Environ Earth Sci 60(5):1037–1054
Raia S, Alveoli M, Rossi M, Baum RM, Godt JW, Guzzetti F (2014) Improving predictive power of physically based rainfall-induced shallow landslide models: a probabilistic approach. Geosci Model Dev 7:495–514
Rao AR, Hameed KA (2000) Flood frequency analysis. CRC press, Washington
Reichenbach P, Rossi M, Malamud BD, Mihir M, Guzzetti F (2018) A review of statistically-based landslide susceptibility models. Earth-Sci Rev 180:60–91
Robbins J (2016) A probabilistic approach for assessing landslide-triggering event rainfall in Papua New Guinea, using TRMM satellite precipitation estimates. J Hydrol 541(part a):296–309
Romeo RW, Floris M, Veneri F (2006) Area-scale landslide hazard and risk assessment. Environ Geol 51(1):1–13
Rossi G, Catani F, Leoni L, Segoni S, Tofani V (2013) HIRESS:a physically based slope stability simulator for HPC applications. Nat Hazards Earth Syst Sci 13:151–166
Salciarini D, Fanelli G, Tamagnini C (2017) A probabilistic model for rainfall-induced shallow landslide prediction at the regional scale. Landslides 14:1731–1746
Segoni S, Rossi G, Rosi A, Catani F (2014) Landslides triggered by rainfall: a semi-automated procedure to define consistent intensity–duration thresholds. Comput Geosci 63:123–131
Segoni S, Piciullo L, Gariano SL (2018) A review of the recent literature on rainfall thresholds for landslide occurrence. Landslides 15(8):1483–1501
Serinaldi F (2015) Dismissing return periods! Stoch Environ Res Risk Assess 29(4):1179–1189
Serinaldi F, Kilsby CG (2015) Stationarity is undead: uncertainty dominates the distribution of extremes. Adv Water Resour 77:17–36
Shou KJ, Yang CM (2015) Predictive analysis of landslide susceptibility under climate change conditions—a study on the Chingshui River Watershed of Taiwan. Eng Geol 192:46–62
Tien Bui D, Pradhan B, Lofman O, Revhaug I, Dick ØB (2013) Regional prediction of landslide hazard using probability analysis of intense rainfall in the Hoa Binh province, Vietnam. Nat Hazards 66(2):707–730
Tien Bui D, Tuan TA, Klempe H, Pradhan B, Revhaug I (2016) 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. Landslides 13(2):361–378
Tretkoff E (2011) Calculating specific catchment area. Eos 92(27):232–232
Tsuchida T, Athapaththu AMRG, Hanaoka T, Kawaguchi M (2015) Investigation of landslide calamity due to torrential rainfall in Shobara City, Japan. Soils Found 55(5):1305–1317
van Westen CJ, van Asch TWJ, Soeters R (2006) Landslide hazard and risk zonation—why is it still so difficult? Bull Eng Geol Environ 65(2):167–184
Varnes DJ (1984) Landslide hazard zonation: a review of principles and practice. Commission on landslides of the IAEG, natural hazards 3, the UNESCO press, Paris
Vasu NN, Lee SR, Pradhan AMS, Kim YT, Kang SH, Lee DH (2016) A new approach to temporal modelling for landslide hazard assessment using an extreme rainfall induced-landslide index. Eng Geol 215:36–49
Vessia G, Parise M, Peruccacci S, Brunetti MT, Rossi M, Vennari C, Guzzetti F (2014) An automated method for the identification of rainfall events responsible for shallow landslides. Nat Hazards Earth Syst Sci 14:2399–2408
Vessia G, Pisano L, Vennari C, Rossi M, Parise M (2016) Mimic expert judgement through automated procedure for selecting rainfall events responsible for shallow landslide: a statistical approach to validation. Comput Geosci 86:146–153
Vessia G, Di Curzio D, Chiaudani A, Rusi S (2020) Regional rainfall threshold maps drawn through multivariate geostatistical techniques for shallow landslide hazard zonation. Sci Total Environ 705:135815
Wallis JR, Matalas NC, Slack JR (1974) Just a moment! Water Resour Res 10(2):211–219
Wieczorek GF, Glade T (2005) Climatic factors influencing occurrence of debris flows. In: Jakob M, Hungr O, Jakob DM (eds) Debris-flow hazards and related phenomena. Springer, Berlin, pp 325–362
Wu CH (2017) Comparison and evolution of extreme rainfall-induced landslides in Taiwan. ISPRS Int J Geo-Inf 6(11):367
Wu CH, Chen SC, Chou HT (2011) Geomorphologic characteristics of catastrophic landslides during typhoon Morakot in the Kaoping Watershed, Taiwan. Eng Geol 123(1–2):13–21
Yen BC (1970) Risks in hydrologic design of engineering projects. J Hydraul Div 96(4):959–966
Yilmaz I, Kaynar O (2011) Multiple regression, ANN (RBF, MLP) and ANFIS models for prediction of swell potential of clayey soils. Expert Syst Appl 38(5):5958–5966
Yilmaz C, Topal T, Süzen ML (2012) GIS-based landslide susceptibility mapping using bivariate statistical analysis in Devrek (Zonguldak-Turkey). Environ Earth Sci 65(7):2161–2178
Yoo N, Yoon D, Um J, Kim D, Park B (2012) Analysis of rainfall characteristics and landslides at the west side area of Gangwon Province. J Korean Geo-Environ Soc 13(9):75–82
Zare M, Pourghasemi HR, Vafakhah M, Pradhan B (2013) Landslide susceptibility mapping at Vaz watershed (Iran) using an artificial neural network model: a comparison between multilayer perceptron (MLP) and radial basic function (RBF) algorithms. Arab J Geosci 6(8):2873–2888
Zêzere J, Reis E, Garcia RA, Oliveira S, Rodrigues ML, Vieira G, Ferreira AB (2004) Integration of spatial and temporal data for the definition of different landslide hazard scenarios in the area north of Lisbon (Portugal). Nat Hazards Earth Syst Sci 4(1):133–146
Zêzere JL, Garcia RAC, Oliveira SC, Reis E (2008) Probabilistic landslide risk analysis considering direct costs in the area north of Lisbon (Portugal). Geomorphology 94(3–4):467–495
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This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2019R1F1A1058063).
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Lee, JH., Kim, H., Park, HJ. et al. Temporal prediction modeling for rainfall-induced shallow landslide hazards using extreme value distribution. Landslides 18, 321–338 (2021). https://doi.org/10.1007/s10346-020-01502-7
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DOI: https://doi.org/10.1007/s10346-020-01502-7