Abstract
Debris flow and landslide warnings are currently based on real-time monitoring of rainfall according to predefined warning lines. Conventionally, the rainfall variables combinations cumulative rainfall–duration (Re–D) and mean rainfall intensity–cumulative rainfall (Im–Re) for setting rainfall thresholds are used separately for landslide warning. The variables used in the regression analysis are correlated and a physical relationship Im = Re/D is available. Two-dimensional warning lines lack spatial feature and may not sufficiently reflect the rainfall characteristics required to initiate debris flows. A technical procedure using 3D regression analysis of the rainfall parameters interaction analysis was proposed. The rainfall warning regression surface is set on the basis of rainfall variables such as average rainfall intensity, effective cumulative rainfall, and duration. Here, a three-parameter, paraboloid rainfall warning regression surface generated using the variables of Im, D, and Re to determine the rainfall characteristics necessary to initiate debris flows and landslides is proposed. The proposed rainfall warning regression model reflects the rainfall characterization using a 3D diagram than the conventional threshold line. The regression results are converted in a multiple Im–D rainfall warning regression diagram containing various Re quantities for issuing landslide and debris flow warnings. Results show that the types of rainfall required to initiate debris flows and landslides include high rainfall intensity within a short duration and high cumulative rainfall over a long duration; moreover, debris flows could be affected by postseismic effects. The regression surfaces vary for rainfall events associated with different typhoons, which suggest that the initiation of landslides and debris flows is affected by the event that causes rainfall. An inclined plane surface is commonly used for describing a rainfall-induced landslide and debris flow regression surface for issuing warnings. The regression surface has parabolic geometry in postseismic landslide areas. The interactions of rainfall parameters using a three-dimensional regression analysis were studied and it was applied to the case of a catastrophic landslide and debris flow at Xiaolin Village in Taiwan.
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References
Adhikari DP, Koshimizu S (2004) Debris flow disaster in Larcha, upper Bhotekoshi Valley, central Nepal. Himal J Sci 2:89–90. https://doi.org/10.1111/j.1440-1738.2005.00495.x
Aleotti P, Chowdhury R (1999) Landslide hazard assessment: summary review and new perspectives. Bull Eng Geol Environ 58:21–44. https://doi.org/10.1007/s100640050066
Bel C, Liébault F, Navratil O, Eckert N, Bellot H, Fontaine F, Laigle D (2017) Rainfall control of debris-flow triggering in the Réal Torrent, Southern French Prealps. Geomorphology 291:17–32. https://doi.org/10.1016/j.geomorph.2016.04.004
Berenguer M, Sempere-Torres D, Hürlimann M (2015) Debris-flow forecasting at regional scale by combining susceptibility mapping and radar rainfall. Nat Hazards Earth Syst Sci 15:587–602. https://doi.org/10.5194/nhess-15-587-2015
Berti M, Martina MLV, Franceschini S, Pignone S, Simoni A, Pizziolo M (2012) Probabilistic rainfall thresholds for landslide occurrence using a Bayesian approach. J Geophys Res 117:F04006. https://doi.org/10.1029/2012JF002367
Caine N (1980) The rainfall intensity–duration control of shallow landslides and debris flows. Geografiska Annaler Ser A Phys Geogr 62:23–27. https://doi.org/10.2307/520449
Cannon SH (1988) Regional rainfall-threshold conditions for abundant debris-flow activity. In: Ellen SD, Wieczorek GF (eds) Landslides, floods, and marine effects of the etorm of January 3–5, 1982, in the San Francisco Bay Region, California, vol 1434. US Geological Survey Professional Paper, pp 35–42
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 96:250–269. https://doi.org/10.1016/j.geomorph.2007.03.019
Chang KT, Chiang SH, Lei F (2008) Analysing the relationship between typhoon-triggered landslides and critical rainfall. Earth Surf Process Landf 33:1261–1271. https://doi.org/10.1002/esp.1611
Chen CY, Chen TC, Yu FC, Yu WH, Tseng CC (2005) Rainfall duration and debris-flow initiated studies for real-time monitoring. Environ Geol 47:715–724. https://doi.org/10.1007/s00254-004-1203-0
Chen CY, Lin LY, Yu FC, Lee CS, Tseng CC, Wang AH, Cheung KW (2007) Improving debris flow monitoring in Taiwan by using high-resolution rainfall products from QPESUMS. Nat Hazards 40:447–461. https://doi.org/10.1007/s11069-006-9004-2
Chen CW, Saito H, Oguchi T (2015) Rainfall intensity–duration conditions for mass movements in Taiwan. Progr Earth Planet Sci 2:14
Chen CY (2016) Landslide and debris flow initiated characteristics after typhoon Morakot in Taiwan. Landslides 13:153–164. https://doi.org/10.1186/s40645-015-0049-2
Chen HX, Wang JD (2014) Regression analyses for the minimum intensity–duration conditions of continuous rainfall for mudflows triggering in Yan’an, northern Shaanxi (China). Bull Eng Geol Environ 73:917–928. https://doi.org/10.1007/s10064-013-0567-3
Chen SC, Huang BT (2010) Non-structural mitigation programs for sediment-related disasters after the Chichi earthquake in Taiwan. J Mt Sci 7:291–300. https://doi.org/10.1007/s11629-010-2021-3
Chen JC, Jan CD, Huang WS (2013) Characteristics of rainfall triggering of debris flows in the Chenyulan watershed, Taiwan. Nat Hazards Earth Syst Sci 13:1015–1023. https://doi.org/10.5194/nhess-13-1015-2013
Chen NS, Hu GS, Deng MF, Zhou W, Yang CL, Han D, Deng JH (2011) Impact of earthquake on debris flows—a case study on the Wenchuan earthquake. J Earthq Tsunami 5:493–508. https://doi.org/10.1142/S1793431111001212
CWB (2019) Central Weather Bureau in Taiwan. https://www.cwb.gov.tw. Accessed 10 Jan 2019
De Luca DL, Versace P (2017a) Diversity of Rainfall Thresholds for early warning of hydro-geological disasters. Adv Geosci 44:53–60. https://doi.org/10.5194/adgeo-44-53-2017
De Luca DL, Versace P (2017b) A comprehensive framework for empirical modeling of landslides induced by rainfall: the Generalized FLaIR Model (GFM). Landslides 14:1009–1030. https://doi.org/10.1007/s10346-016-0768-5
Fan RL, Zhang LM, Wang HJ, Fan XM (2018) Evolution of debris flow activities in Gaojiagou Ravine during 2008–2016 after the Wenchuan earthquake. Eng Geol 235:1–10. https://doi.org/10.1016/j.enggeo.2018.01.017
Feng ZY (2012) The seismic signatures of the surge wave from the 2009 Xiaolin landslide-dam breach in Taiwan. Hydrol Process 26:1342–1351. https://doi.org/10.1002/hyp.8239
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 12:829–842. https://doi.org/10.5194/nhess-12-829-2012
Guo X, Cui P, Li Y, Ma L, Ge Y, Mahoney WB (2016) Intensity–duration threshold of rainfall-triggered debris flows in the Wenchuan Earthquake affected area, China. Geomorphology 253:208–216. https://doi.org/10.1016/j.geomorph.2015.10.009
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. https://doi.org/10.1007/s10346-007-0112-1
Hong Y, Adler RF, Huffman G (2006) Evaluation of the potential of NASA multi-satellite precipitation analysis in global landslide hazard assessment. Geophys Res Lett 33:L22402. https://doi.org/10.1029/2006GL028010
Hong Y, Adler RF (2008) Predicting global landslide spatiotemporal distribution: integrating landslide susceptibility zoning techniques and real-time satellite rainfall estimates. Int J Sediment Res 23:249–257. https://doi.org/10.1016/S1001-6279(08)60022-0
Huang J, Huang R, Ju N, Xu Q, He C (2015) 3D WebGIS-based platform for debris flow early warning: a case study. Eng Geol 197:57–66. https://doi.org/10.1016/j.enggeo.2015.08.013
Jakob M, Owen IT, Simpson IT (2012) A regional real-time debris-flow warning system for the District of North Vancouver, Canada. Landslides 9:165–178. https://doi.org/10.1007/s10346-011-0282-8
Jan CD, Lee MH, Kuo FH (2006) A rainfall-based debris-flow spatial and temporal warning model. Sino-Geotechnics 110:55–64 (in Chinese with English abstract)
Jibson RW (1989) Debris flow in southern Porto Rico. In: Schultz AP, Jibson RW (eds) Landslide processes of the eastern United States and Puerto Rico, vol 236. Geological Society of America, Special Paper, pp 29–55
Ju NP, Huang J, Huang RQ, He CY, Li YR (2015) A Real-time monitoring and early warning system for landslides in Southwest China. J Mt Sci 12:1219–1228. https://doi.org/10.1007/s11629-014-3307-7
Larsen MC, Simon A (1993) A rainfall intensity–duration threshold for landslides in a humid-tropical environment, Puerto Rico. Geografiska Annaler Ser A 75:13–23. https://doi.org/10.1080/04353676.1993.11880379
Li C, Zhu WH, Li L, Lu XB, Yao D, Amini F (2016) Experimental analysis for the dynamic initiation mechanism of debris flows. J Mt Sci 13:581–592. https://doi.org/10.1007/s11629-014-3258-z
Lin ML, Jeng FS (2000) Characteristics of hazards induced by extremely heavy rainfall in Central Taiwan: Typhoon Herb. Eng Geol 58:191–207. https://doi.org/10.1016/S0013-7952(00)00058-2
Lin CW, Shieh CL, Yuan BD, Shieh YC, Liu SH, Lee SY (2004) Impact of Chi-Chi earthquake on the occurrence of landslides and debris flows: example from the Chenyulan River watershed, Nantou, Taiwan. Eng Geol 71:49–61. https://doi.org/10.1016/S0013-7952(03)00125-X
Lin CW, Liu SH, Lee SY, Liu CC (2006) Impacts of the Chi-Chi earthquake on subsequent rainfall-induced landslides in central Taiwan. Eng Geol 86:87–101. https://doi.org/10.1016/j.enggeo.2006.02.010
Lo CM, Lin ML, Tang CL, Hu JC (2011) A kinematic model of the Hsiaolin (a.k.a. Shaolin) landslide calibrated to the morphology of the landslide deposit. Eng Geol 123:22–39. https://doi.org/10.1016/j.enggeo.2011.07.002
Ma T, Li C, Lu Z, Bao Q (2015) Rainfall intensity–duration thresholds for the initiation of landslides in Zhejiang Province, China. Geomorphology 245:193–206. https://doi.org/10.1016/j.geomorph.2015.05.016
Ma C, Wang Y, Hu K, Du C, Yang W (2017) Rainfall intensity–duration threshold and erosion competence of debris flows in four areas affected by the 2008 Wenchuan earthquake. Geomorphology 282:85–95. https://doi.org/10.1016/j.geomorph.2017.01.012
Mizuyama T, Egashira S (2010) Sediment induced disasters in the world and 1999-Debris flow disasters in Venezuela. J Disaster Res 5:229–235
Osanai N, Shimizu T, Kuramoto K, Kojima S, Noro T (2010) Japanese early-warning for debris flows and slope failures using rainfall indices with Radial Basis Function Network. Landslides 7:325–338. https://doi.org/10.1007/s10346-010-0229-5
Panziera L, Gabella M, Zanini S, Hering A, Germann U, Berne A (2016) A radar-based regional extreme rain fall analysis to derive the thresholds for a novel automatic alert system in Switzerland. Hydrol Earth Syst Sci 20:2317–2332. https://doi.org/10.5194/hess-2016-131
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. https://doi.org/10.5194/hess-17-4095-2013
Rao KS, Singh T (2015) Rainfall thresholds for landslides: their capabilities and limitations. In: Journal of Engineering Geology/Proceedings of EGNM 2015, New Delhi. Coupled hydro-mechanical modeling for the slopes in upper beas catchment, Himachal Pradesh. https://www.researchgate.net/publication/315734083_Rainfall_Thresholds_for_Landslides_Their_Capabilities_and_Limitations
Saito H, Nakayama D, Matsuyama H (2010) Relationship between the initiation of a shallow landslide and rainfall intensity–duration thresholds in Japan. Geomorphology 118:167–175. https://doi.org/10.1016/j.geomorph.2009.12.016
Segoni S, Battistini A, Rossi G, Rosi A, Lagomarsino D, Catani F, Moretti S, Casagli N (2015) Technical note: an operational landslide early warning system at regional scale based on space–time-variable rainfall thresholds. Nat Hazards Earth Syst Sci 15:853–861. https://doi.org/10.5194/nhess-15-853-2015
Segoni S, Piciullo L, Gariano SL (2018) A review of the recent literature on rainfall thresholds for landslide occurrence. Landslides 15:1483–1501. https://doi.org/10.1007/s10346-018-0966-4
Shi Z, Wei F, Venkatachalam C (2017) Radar-based quantitative precipitation estimation for the identification of debris-flow occurrence over earthquake affected region in Sichuan, China. Nat Hazards Earth Syst Sci. https://doi.org/10.5194/nhess-2017-308
Shieh CL, Chen YS, Tsai YJ, Wu JH (2009) Variability in rainfall threshold for debris flow after the Chi-Chi earthquake in central Taiwan, China. Int J Sediment Res 24:177–188. https://doi.org/10.1016/S1001-6279(09)60025-1
Stähli M, Sättele M, Huggel C, McArdell BW, Lehmann P, Van Herwijnen A, Berne A, Schleiss M, Ferrari A, Kos A, Or D, Springman SM (2015) Monitoring and prediction in early warning systems for rapid mass movements. Nat Hazards Earth Syst Sci 15:905–917. https://doi.org/10.5167/uzh-118148
SWCB (2009) Soil and water conservation bureau in Taiwan. 2008 Debris flow annual report. https://246.swcb.gov.tw/(in Chinese). Accessed 23 Apr 2018
SWCB (2010) Soil and water conservation bureau in Taiwan. 2009 Debris flow annual report. https://246.swcb.gov.tw/(in Chinese). Accessed 10 May 2018
Tang C, Zhu J, Li WL, Liang JT (2009) Rainfall-triggered debris flows following the Wenchuan earthquake. Bull Eng Geol Environ 68:187–194. https://doi.org/10.1007/s10064-009-0201-6
Tang C, Zhu J, Ding J, Cui X, Chen L, Zhang J (2011) Catastrophic debris flows triggered by a 14 August 2010 rainfall at the epicenter of the Wenchuan earthquake. Landslides 8:485–497. https://doi.org/10.1007/s10346-011-0269-5
Tang C, van Asch TWJ, Chang M, Chen GQ, Zhao XH, Huang XC (2012) Catastrophic debris flows on 13 August 2010 in the Qingping area, southwestern China: the combined effects of a strong earthquake and subsequent rainstorms. Geomorphology 139–140:559–576. https://doi.org/10.1016/j.geomorph.2011.12.021
Tsou CY, Feng ZY, Chigira M (2011) Catastrophic landslide induced by Typhoon Morakot, Shaolin, Taiwan. Geomorphology 127:166–178. https://doi.org/10.1016/j.geomorph.2010.12.013
Wang JS, Zeng YC, Jan CD, Chen CY (2011) A method to develop the rainfall-based criteria for debris-flow warning for the area lacking data. Geophysical Research Abstracts 13, EGU2011-2983
Wei F, Hu K, Zhang J, Jiang Y, Chen J (2008) Determination of effective antecedent rainfall for debris flow forecast based on soil moisture content observation in Jiangjia Gully, China. WIT Trans Eng Sci 60:13–22. https://doi.org/10.2495/DEB080021
Weng MC, Wu MH, Ning SK, Jou YW (2011) Evaluating triggering and causative factors of landslides in Lawnon River Basin, Taiwan. Eng Geol 123:72–82. https://doi.org/10.1016/j.enggeo.2011.07.001
Wieczorek GF, Morgan BA, Campbell RH (2000) Debris flow hazards in the Blue Ridge of Central Virginia. Environ Eng Geosci 6:3–23. https://doi.org/10.2113/gseegeosci.6.1.3
Wu CH, Chen SC, Feng ZY (2014) Formation, failure, and consequences of the Xiaolin landslide dam, triggered by extreme rainfall from Typhoon Morakot, Taiwan. Landslides 11:357–367. https://doi.org/10.1007/s10346-013-0394-4
Yu FC, Chen TC, Lin ML, Chen CY, Yu WH (2006) Landslides and rainfall characteristics analysis in Taipei City during Typhoon Nari event. Nat Hazards 37:153–167. https://doi.org/10.1007/s11069-005-4661-0
Yu FC, Chen CY, Lin SC, Lin YC, Wu SY, Cheung KW (2007) A web-based decision support system for slopeland hazard warning. Environ Monit Assess 127:419–428. https://doi.org/10.1007/s10661-006-9291-9
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The author thanks the Soil and Water Conservation Bureau in Taiwan (SWCB) for providing valuable materials for this study and express gratitude to the reviewers for their useful comments.
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Chen, CY. Event-based rainfall warning regression model for landslide and debris flow issuing. Environ Earth Sci 79, 127 (2020). https://doi.org/10.1007/s12665-020-8877-9
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DOI: https://doi.org/10.1007/s12665-020-8877-9