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A probabilistic model for evaluating the reliability of rainfall thresholds for shallow landslides based on uncertainties in rainfall characteristics and soil properties

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Abstract

This study aims to develop a probabilistic rainfall threshold estimation model for shallow landslides (PRTE_LS) in order to quantify its reliability while being affected by uncertainties in the rainfall characteristics and soil properties. The rainfall characteristics include the rainfall duration, depth and storm patterns in which their uncertainties result from temporal variation. The effective cohesion of soil, the unit weight of soil, the angle of internal friction, hydraulic conductivity and hydraulic diffusivity are the soil properties represented as the soil parameters in the TRIGRS model in which uncertainties are attributed to spatial variation. After analyzing the sensitivity of rainfall characteristics and TRIGRS parameters to the estimation of rainfall thresholds, the maximum rainfall intensity, storm pattern and soil parameters (soil cohesion, soil friction angle and total unit weight of soil) are retreated as uncertainty factors used in the model development. The proposed PRTE_LS model is used for the reliability assessment of the issued rainfall thresholds in the Jhoukou River watershed, southern Taiwan, to demonstrate its applicability. The results indicate that the corresponding exceedance probability (i.e., underestimated risk) approximates 0.1 on average. In other words, its reliability reaches 0.9. However, issued rainfall thresholds with high reliability might hardly achieve the goal of early warning because shallow landslides can possibly happen before the actual rainfall amount exceeds the threshold. Consequently, the proposed PRTE_LS model can modify issued rainfall thresholds with the specific occurrence probability under the critical safety factors and warning durations being considered. As a result, the proposed PRTE_LS can not only quantify the reliability of the issued rainfall thresholds, but its results can also be referred to in modifying the issued thresholds in order to enhance the early-warning performance.

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References

  • Aleotti P (2004) A warning system for rainfall-induced shallow failures. Eng Geol 73(3–4):247–265

    Article  Google Scholar 

  • Alonso EE (1976) Risk analysis of slopes and its application to slopes in Canadian sensitive clays. Geotechnique 26(3):453–472

    Article  Google Scholar 

  • Arnone E, Dialynas YG, Noto LV, Bras RL (2014) Parameter uncertainty in shallow rainfall-triggered landslide modeling at basin scale: a probabilistic approach. Procedia Earth Planet Sci 9:101–111

    Article  Google Scholar 

  • Bai S, Wang J, Thiebes B, Chen C, Yang Y (2014) Analysis of the relationship of landslide occurrence with rainfall: a case study of Wudu County, China. Arabian J Geosci 7(4):1277–1285

    Article  Google Scholar 

  • Baum RL, Godt JW (2010) Early warning of rainfall-induced shallow landslides and debris flow in the USA. Lanslides 7(3):259–272

    Article  Google Scholar 

  • Baum RL, Savage WZ, Godt JW (2008) TRIGRS-A FORTRAN program for transient rainfall infiltration and grid-based regional slope stability analysis, version 2.0, U.S. Geological Survey Open-File Report 2008-1159

  • Berti M, Martian MLV, Franceshini S, Pignone S, Simon A, Pizziolo M (2012) Probabilistic rainfall threshold for landslide occurrence using a Bayesian approach. J Geophys Res 117:F04006

    Article  Google Scholar 

  • Bromhead EN (1992) The stability of slopes, blackie academic and professional, 2nd edn. Glasfow, pp 88–108

  • Brunetti MT, Peruccacci D, Rossi M, Luciani S, Valigi D, Guzzetti F (2010) Rainfall thresholds for the possible occurrence of landslide in Italy. Nat Hazards Earth Syst Sci 10:447–458

    Article  Google Scholar 

  • Caine N (1980) The rainfall intensity-duration control of shallow landslide and debris flows. Geogr Ann 62(1/2):23–27

    Article  Google Scholar 

  • Cannon SH, Gartner JE, Wilson RC, Bowers JC, Laber JL (2008) Storm rainfall conditions for floods and debris flows from recently burned areas in southwestern Colorado and southern California. Geomorphology 96(3):250–269

    Article  Google Scholar 

  • Casadei M, Dietrich WE, Miller NL (2003) Testing a model for predicting the timing and location of shallow landslide initiation in soil-mantled landscapes. Earth Surf Process Lanforms 28(9):925–950

    Article  Google Scholar 

  • Chang CH, Yang JC, Tung YK (1997) Incorporate marginal distributions in point estimate methods for uncertainty analysis. J Hydraul Eng 123(3):244–251

    Article  Google Scholar 

  • Chien LK, Hsu CF, Yin LC (2015) Warning model for shallow landslides induced by extreme rainfall. Water 7(8):4362–4384

    Article  Google Scholar 

  • Dai FC, Lee CF (2003) A spatiotemporal probability modeling of storm-induced shallow landslide using aerial photographs and logistic regression. Earth Surf Process Landf 28(5):527–545

    Article  Google Scholar 

  • Fan LF, Lehmann P, Or D (2016) Effects of soil spatial variability at the hillslope and catchment scales on characteristics of rainfall-induced landslides. Water Resour Res 52(3):1781–1799

    Article  Google Scholar 

  • Giannecchini R, Galanti Y, D’Amato Avanzi G (2012) Critical rainfall thresholds for triggering shallow landslides in the Serchio River Valley (Tuscany, Italy). Nat Hazards Earth Syst Sci 12(3):829842

    Article  Google Scholar 

  • Gioia E, Speranza G, Ferretti M, Godt JW, Baum RL, Marincioni F (2016) Application of a process-based shallow landslide hazard model over a broad area in Central Italy. Landslides 13(5):1197–1214

    Article  Google Scholar 

  • Guo XJ, Cui P, Li Y (2013) Debris flow warning threshold based on antecedent rainfall: a case study in Jiangjia Ravine, Yunnan, China. J Mt Sci 10(2):305–314

    Article  Google Scholar 

  • Guzzetti F, Peruccacci S, Rossi M, Stark CP (2008) The rainfall intensity–duration control of shallow landslides and debris flows: an update. Landslides 5(1):3–17

    Article  Google Scholar 

  • Holmes KW, Chadwick OA, Kyriakidis PC (2000) Error in a USGS 30-m digital elevation model and its impact on terrain modeling. J Hydrol 233(1–4):154–173

    Article  Google Scholar 

  • Hong Y, Hiura H, Shino K, Sassa K, Suemine A, Fukuoka H, Wang G (2005) The influence of intense rainfall on the activity of large-scale crystalline schist landslides in Shikoku Island, Japan. Landslides 2(2):97–105

    Article  Google Scholar 

  • Hong Y, Adler R, Huffman G (2006) Evaluation of the potential of NADA multi-satellite precipitation analysis in glob landslide hazard assessment. Geophys Res Lett 33(L22402):1–5

    Google Scholar 

  • Huang J, Ju NP, Liao YJ, Liu DD (2015) Determination of rainfall thresholds for shallow landslides by a probabilistic and empirical method. Nat Hazards Earth Syst Sci 15:2715–2723

    Article  Google Scholar 

  • Huggel C, Khabarov N, Obersteiner M, Ramirez JM (2009) Implement and integrated numerical modeling of a landslide early warning system: a pilot study in Colombia. Nat Hazards 52(2):501–518

    Article  Google Scholar 

  • Iverson RM (2000) Landslide triggering by rain infiltration. Water Resour Res 36(7):1897–1910

    Article  Google Scholar 

  • Johnson NL (1949) System of frequency curves generated by methods of translation. Biometrika 36:149–176

    Article  Google Scholar 

  • Kanungo DP, Sharma S (2014) Rainfall thresholds for prediction of shallow landslides around Chamoli-Joshimath region, Garhwal Himalayas, India. Landslides 14(4):629–638

    Article  Google Scholar 

  • Khan YA, Lateh H, Baten MA, Kamil AA (2012) Critical antecedent rainfall conditions for shallow landslides in Chittagong City of Bangladesh. Environ Earth Sci 67(1):97–106

    Article  Google Scholar 

  • Kim D, Im S, Lee SH, Hong Y, Cha KS (2010) Predicting the rainfall-triggered landslides in a forested mountain region using TRIGRS model. J Mt Sci 7(1):83–91

    Article  Google Scholar 

  • Lanni C, Borga M, Tarolli P (2012) Modelling shallow landslide susceptibility by means of a subsurface flow path connectivity index and estimates of soil depth spatial distribution. Hydrol Earth Syst Sci 16:3959

    Article  Google Scholar 

  • Leroueil S (2001) 39th Rankine lecture: natural slopes and cuts: movement and failure mechanisms. Geotechnique 51(3):197–243

    Article  Google Scholar 

  • Liao Z, Hong Y, Kirschbaum D, Adler RF, Gourley JJ, Wooten R (2011) Evaluation of TRIGRS (transient rainfall infiltration and grid-based regional slope-stability analysis)’s predictive skill for hurricane-triggered landslides: a case study in Macon County, North Carolina. Nat Hazards 58(1):325–339

    Article  Google Scholar 

  • Montgomery DR, Dietrich WE (1994) A physically-based model for topographic control on shallow landsliding. Water Resour Res 30(4):1153–1171

    Article  Google Scholar 

  • Montrasio L, Valentino R (2007) Experimental analysis and modeling of shallow landslides. Landslides 4(3):291–296

    Article  Google Scholar 

  • Montrasio L, Valentino R (2008) A model for triggering mechanisms of shallow landslides. Nat Hazards Earth Syst Sci 8:1149–1159

    Article  Google Scholar 

  • O’Callaghan JF, Mark DM (1984) The extraction of drainage networks from digital elevation data, computer vision. Graph Image Process 28:328–344

    Google Scholar 

  • Papa MN, Medina V, Ciervo F, Bateman A (2013) Derivation of critical rainfall thresholds for shallow landslides as a tool for debris flow early warning systems. Hydrol Earth Syst Sci 17:4095–4107

    Article  Google Scholar 

  • Piegari E, Maio RD, Milano L (2009) Characteristic scales in landslide modelling. Nonlinear Process Geophys 16:515–523

    Article  Google Scholar 

  • Quinn P, Beven K, Chevallier P, Planchon O (1991) The prediction of hillslope flow paths for distributed hydrological modeling using digital terrain models. Hydrol Process 5(1):59–80

    Article  Google Scholar 

  • Raia S, Alvioli M, Rossi M, Baum RL, Godt JW, Guzzetti F (2014) Improving predictive power of physical based rainfall-induced shallow landslide models: a probabilistic approach. Geosci Model Dev 7:495–514

    Article  Google Scholar 

  • Rosso R, Rulli MC, Vannucchi G (2006) A physically based model for the hydrologic control on shallow. Water Resour Res 42(W066410):1–16

    Google Scholar 

  • Salciarini D, Tamagnini C (2015) Physically based rainfall thresholds for shallow landslide initiation at regional scales. Eng Geol Soc Territ 2:1041–1044

    Article  Google Scholar 

  • Salciarini D, Godt JW, Savage WZ, Baum RL, Conversini P (2008) Modeling landslide recurrence in Seattle, Washington, USA. Eng Geol 102(3–4):227–237

    Article  Google Scholar 

  • Salvati P, Bianchi C, Rossi M, Guzzetti F (2010) Society landslide and flood risk in Italy. Nat Hazards Earth Syst Sci 10:465–483

    Article  Google Scholar 

  • Schilirò L, Esposito C, Mugnozza GS (2015) Evaluation of shallow landslide triggering scenarios through a physically-based approach: an example of application in the southern Messina area (north-eastern Sicily, Italy). Nat Hazards Earth Syst Sci Discuss 3:2975–3022

    Article  Google Scholar 

  • Segoni S, Rosi A, Rossi G, Catani F, Casagli N (2014) Analyzing the relationship between rainfalls and landslides to define a mosaic of triggering thresholds for regional-scale warning systems. Nat Hazards Earth Syst Sci 14:2637–2648

    Article  Google Scholar 

  • Sharama RH, Nakagawa H (2005) Shallow landslide modeling for heavy rainfall events. Annuals of DISAS. Prev. Res. Inst., Kyoto Unvi. 48B

  • Talebi A, Uijlenhoet R, Troch PA (2008) Application of a probabilistic model of rainfall-induced shallow landslides to complex hollows. Hazards Earth Syst Sci 8:733–744

    Article  Google Scholar 

  • Tarboton GD (1997) A new method for the determination of flow directions and upslope areas in grid digital elevation models. Water Resour Res 33(2):309–319

    Article  Google Scholar 

  • Tasi TL (2008) The influence of rainstorm pattern on shallow landslide. Environ Geol 53(7):1563–1570

    Article  Google Scholar 

  • Terlien MTJ (1998) The determination of statistical and deterministic hydrological landslide-triggering thresholds. Environ Geol 35(2):124–130

    Article  Google Scholar 

  • Tiranti D, Rabuffetti D (2010) Estimation of rainfall thresholds triggering shallow landslides for an operational warning system implementation. Landslides 7(4):471–481

    Article  Google Scholar 

  • Tofani V, Dapporto S, Vannocci P, Casagli N (2006) Infiltration, seepage and slope instability mechanisms during the 20–21 November 2000 rainstorm in Tuscany, central Italy. Nat Hazards Earth Syst Sci 6:1025–1033

    Article  Google Scholar 

  • VAN BEEK LPH (2002) Assessment of the influence of changes in climate and land use on landslide activity in a Mediterranean environment. Netherlands Geographical Studies, 294, Utrecht

  • Vennari C, Gariano SL, Antronico L, Brunetti MT, Iovine G, Peruccacci S, Terranova O, Guzzetti F (2014) Rainfall thresholds for shallow landslide occurrence in Calabria, southern Italy. Nat Hazards Earth Syst Sci 14:317–330

    Article  Google Scholar 

  • Wu SJ, Tung YK, Yang JC (2006) Stochastic generation of hourly rainstorm events. Stoch Environ Res Risk Assess 21(2):195–212

    Article  Google Scholar 

  • Wu SJ, Hsu CT, Lien HC, Chang CH (2015a) Modeling the effect of uncertainties in rainfall characteristics on flash flood warning based on rainfall thresholds. Nat Hazards 75(2):1677–1771

    Article  Google Scholar 

  • Wu SJ, Chiueh YW, Lien HC, Hsu CT (2015b) Modeling risk analysis for rice production due to agro-climate change in Taiwan. Paddy Water Environ 13(4):391–404

    Article  Google Scholar 

  • Wu SJ, Lien HC, Hsu CT, Chang CH, Shen JC (2015c) Modeling probabilistic radar rainfall estimation at ungauged locations based on spatiotemporal errors which correspond to gauged data. Hydrol Res 46(1):39–59

    Article  Google Scholar 

  • Wu SJ, Yen KC, Ho CH, Yang SH (2016) Modeling probabilistic lag time equation in a watershed based on uncertainties in rainfall, hydraulic and geographical factors. Hydrol Res 47(6):1116–1141

    Article  Google Scholar 

  • Zizioli D, Meisina C, Valentino R, Montrasio L (2013) Comparison between different approaches to modeling shallow landslide susceptibility: a case history in Oltrepo Pavese, Northern Italy. Nat Hazards Earth Syst Sci 13:559–573

    Article  Google Scholar 

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Authors and Affiliations

  1. National Center for High-Performance Computing, Hsinchu, 30076, Taiwan

    Shiang-Jen Wu

  2. National Science and Technology Center for Disaster Reduction, Taipei, 23143, Taiwan

    Yi-Hua Hsiao

  3. Department of Civil Engineering, National Chiao Tung University, Hsinchu, 30076, Taiwan

    Keh-Chia Yeh & Sheng-Hsueh Yang

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  1. Shiang-Jen Wu
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Correspondence to Shiang-Jen Wu.

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Wu, SJ., Hsiao, YH., Yeh, KC. et al. A probabilistic model for evaluating the reliability of rainfall thresholds for shallow landslides based on uncertainties in rainfall characteristics and soil properties. Nat Hazards 87, 469–513 (2017). https://doi.org/10.1007/s11069-017-2773-y

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