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Adaptive interval prediction method for step-like landslide displacement with dynamic switching between different deformation states

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Abstract

Affected by periodic reservoir water level fluctuations and seasonal rainfall, most reservoir landslides show a step-like pattern of dynamic switching between accelerated and decelerated deformation states. This paper proposes a novel adaptive interval prediction method for accurate prediction of such step-like landslide displacement. In this method, future deformation state (acceleration or deceleration) of landslide is identified by random forest model. Based on the dual-output least squares support vector machine (DO-LSSVM) model, two independent interval predictors are established to adaptively predict landslide displacement in the accelerated deformation state and the decelerated deformation state, respectively. Landslide triggering factors, including rainfall and reservoir water level fluctuations, are adopted as inputs to train the random forest model and DO-LSSVM predictors. To depict the effectiveness of the proposed method, a typical step-like landslide, the Baishuihe landslide in the Three Gorges Reservoir region of China, is taken as a case study. The prediction performance of landslide displacement is evaluated by the prediction interval coverage probability (PICP), the normalized mean prediction interval width (NMPIW), and the modified coverage width-based criterion (CWC). Compared to existing interval prediction methods, the predicted displacement intervals by the proposed method have smaller NMPIW and relatively high PICP. Moreover, the mean and standard deviation values of CWC are much smaller than those obtained from existing methods, showing improved prediction accuracy and reliability. Results of this study confirm good performance of the proposed method in interval predictions of step-like landslide displacement. The prediction results could facilitate early warning of landslide disasters.

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References

  • Ali SA, Parvin F, Vojteková J, Costache R, Linh NTT, Pham QB, Vojtek M, Gigović L, Ahmad A, Ghorbani MA (2021) GIS-based landslide susceptibility modeling: a comparison between fuzzy multi-criteria and machine learning algorithms. Geosci Front 12(2):857–876

    Article  Google Scholar 

  • Al-Najjar HAH, Pradhan B, Beydoun G, Sarkar R, Park HJ, Alamri A (2022) A novel method using explainable artificial intelligence (XAI)-based Shapley Additive Explanations for spatial landslide prediction using Time-Series SAR dataset. Gondwana Res. https://doi.org/10.1016/j.gr.2022.08.004

  • Breiman L (2001) Random forests. Mach Learn 45(1):5–32

    Article  Google Scholar 

  • Cao Y, Yin K, Alexander DE, Zhou C (2016) Using an extreme learning machine to predict the displacement of step-like landslides in relation to controlling factors. Landslides 13(4):725–736

    Article  Google Scholar 

  • Cavallaro A, Ferraro A, Grasso S, Maugeri M (2012) Topographic effects of the Monte Po hill in Catania (Italy). Soil Dyn Earthq Eng 43:97–113. https://doi.org/10.1016/j.soildyn.2012.07.022

    Article  Google Scholar 

  • Cavallaro A, Grasso S, Sammito MSV (2022) A seismic microzonation study for some areas around the Mt. Etna Volcano on the east coast of Sicily, Italy. In: Proceedings of the 4th International Conference on Performance Based Design in Earthquake Geotechnical Engineering, Beijing, China, 15-17 July 2022. https://doi.org/10.1007/978-3-031-11898-2_61

    Chapter  Google Scholar 

  • Cheng Z, Gong WP, Tang HM, Juang CH, Deng QL, Chen J, Ye XF (2021) UAV photogrammetry-based remote sensing and preliminary assessment of the behavior of a landslide in Guizhou, China. Eng Geol 289:106172

    Article  Google Scholar 

  • Crosta GB (2004) Introduction to the special issue on rainfall-triggered landslides and debris flows. Eng Geol 73:191–192

    Article  Google Scholar 

  • Crosta GB, Agliardi F, Rivolta C, Alberti S, Dei Cas L (2017) Long-term evolution and early warning strategies for complex rockslides by real-time monitoring. Landslides 14(5):1615–1632

    Article  Google Scholar 

  • De Brabanter K, De Brabanter J, Suykens JAK, De Moor B (2011) Approximate confidence and prediction intervals for least squares support vector regression. IEEE Trans Neural Netw 22(1):110–120

    Article  Google Scholar 

  • Du H, Song DQ, Chen Z, Shu HP, Guo ZZ (2020) Prediction model oriented for landslide displacement with step-like curve by applying ensemble empirical mode decomposition and the PSO-ELM method. J Clean Prod 270:122248

    Article  Google Scholar 

  • Du J, Yin KL, Lacasse S (2013) Displacement prediction in colluvial landslides, Three Gorges Reservoir, China. Landslides 10(2):203–218

    Article  Google Scholar 

  • Gong WP, Juang CH, Wasowski J (2021) Geohazards and human settlements: lessons learned from multiple relocation events in Badong, China – engineering geologist’s perspective. Eng Geol 285(7724):106051

    Article  Google Scholar 

  • Gong WP, Tian S, Wang L, Li ZB, Tang HM, Li TZ, Zhang L (2022) Interval prediction of landslide displacement with dual-output least squares support vector machine and particle swarm optimization algorithms. Acta Geotech 17(9):4013–4031

    Article  Google Scholar 

  • Gong WP, Zhao C, Juang CH, Tang HM, Wang H, Hu XL (2020) Stratigraphic uncertainty modelling with random field approach. Comput Geotech 125:103681

    Article  Google Scholar 

  • Guo ZZ, Chen LX, Gui L, Du J, Yin KL, Do MH (2019) Landslide displacement prediction based on variational mode decomposition and WA-GWO-BP model. Landslides 16(7):567–583

    Google Scholar 

  • Hartigan JA, Wong MA (1979) Algorithm AS 136: a k-means clustering algorithm. J Royal Stat Soc Series C (Appl Stat) 28(1):100–108

    Google Scholar 

  • Huang D, He J, Song YX, Guo ZZ, Huang XC, Guo YQ (2022) Displacement prediction of the Muyubao landslide based on a GPS time-series analysis and temporal convolutional network model. Remote Sens 14:2656

    Article  Google Scholar 

  • Intrieri E, Gigli G, Casagli N, Nadim F (2013) Brief communication “Landslide Early Warning System: toolbox and general concepts”. Nat Hazards Earth Syst Sci 13(1):85–90

    Article  Google Scholar 

  • Khosravi A, Nahavandi S, Creighton D, Atiya AF (2011) Lower upper bound estimation method for construction of neural network-based prediction intervals. IEEE Trans Neural Netw 22(3):337–346

    Article  Google Scholar 

  • Kilburn CR, Petley DN (2003) Forecasting giant, catastrophic slope collapse: lessons from Vajont, Northern Italy. Geomorphology 54(1-2):21–32

    Article  Google Scholar 

  • Li CD, Criss RE, Fu ZY, Long JJ, Tan QW (2021a) Evolution characteristics and displacement forecasting model of landslides with stair-step sliding surface along the Xiangxi River, three Gorges Reservoir region, China. Engineering Geology 283:105961

    Article  Google Scholar 

  • Li DY, Miao FS, Xie YH, Leo C (2019) Hazard prediction for Baishuihe landslide in the Three Gorges Reservoir during the extreme rainfall return period. KSCE J Civ Eng 23(12):5021–5031

    Article  Google Scholar 

  • Li DY, Yin KL, Leo C (2010) Analysis of Baishuihe landslide influenced by the effects of reservoir water and rainfall. Environ Earth Sci 60(4):677–687

    Article  Google Scholar 

  • Li HJ, Xu Q, He YS, Fan XM, Li SM (2020) Modeling and predicting reservoir landslide displacement with deep belief network and EWMA control charts: a case study in Three Gorges Reservoir. Landslides 3:1–15

    Google Scholar 

  • Li LW, Wu YP, Miao FS, Xue Y, Huang YP (2021b) A hybrid interval displacement forecasting model for reservoir colluvial landslides with step-like deformation characteristics considering dynamic switching of deformation states. Stoch Env Res Risk A 35(6):1089–1112

    Article  Google Scholar 

  • Lian C, Zeng ZG, Yao W, Tang HM, Chen CLP (2016) Landslide displacement prediction with uncertainty based on neural networks with random hidden weights. IEEE Trans Neural Netw Learn Syst 27(12):2683–2695

    Article  Google Scholar 

  • Lian C, Zeng ZG, Wang XP, Yao W, Su YX, Tang HM (2020) Landslide displacement interval prediction using lower upper bound estimation method with pre-trained random vector functional link network initialization. Neural Netw 130:286–296

    Article  Google Scholar 

  • Likas A, Vlassis N, Verbeek JJ (2003) The global k-means clustering algorithm. Pattern Recogn 36(2):451–461

    Article  Google Scholar 

  • Liu Y, Xu C, Huang B, Ren XW, Liu CQ, Hu BD, Chen Z (2020) Landslide displacement prediction based on multi-source data fusion and sensitivity states. Eng Geol 271:105608

    Article  Google Scholar 

  • Ma JW, Niu XX, Tang HM, Wang YK, Wen T, Zhang JR (2020) Displacement prediction of a complex landslide in the Three Gorges Reservoir Area (China) using a hybrid computational intelligence approach. Complexity 2020:1–15

    Google Scholar 

  • Ma JW, Tang HM, Liu X, Wen T, Zhang JR, Tan QW, Fan ZQ (2018) Probabilistic forecasting of landslide displacement accounting for epistemic uncertainty: a case study in the Three Gorges Reservoir area, China. Landslides 4:1–9

    Google Scholar 

  • Martino S, Battaglia S, D’Alessandro F, Della Seta M, Esposito C, Martini G, Pallone F, Troiani F (2020) Earthquake induced landslide scenarios for seismic microzonation: application to the Accumoli area (Rieti, Italy). Bull Earthq Eng 18:5655–5673. https://doi.org/10.1007/s10518-019-00589-1

    Article  Google Scholar 

  • Miao FS, Wu YP, Török Á, Li LW, Xue Y (2022) Centrifugal model test on a riverine landslide in the Three Gorges Reservoir induced by rainfall and water level fluctuation. Geosci Front 13(3):101378

    Article  Google Scholar 

  • Micu M, Bălteanu D (2013) A deep-seated landslide dam in the Siriu Reservoir (Curvature Carpathians, Romania). Landslides 10(3):323–329

    Article  Google Scholar 

  • Ren TH, Gong WP, Bowa VM, Tang HM, Chen J, Zhao FM (2021) An improved R-Index model for terrain visibility analysis for landslide monitoring with InSAR. Remote Sens 13(10):1938

    Article  Google Scholar 

  • Sassa K, Picarelli L, Yin YP (2009) Monitoring, prediction and early warning. In: Sassa K, Canuti P (eds) Landslides – disaster risk reduction. Springer, Berlin, Heidelberg

    Chapter  Google Scholar 

  • Shihabudheen KV, Pillai GN, Peethambaran B (2017) Prediction of landslide displacement with controlling factors using extreme learning adaptive neuro-fuzzy inference system (ELANFIS). Appl Soft Comput 61:892–904

    Article  Google Scholar 

  • Tang HM, Wasowski J, Juang CH (2019) Geohazards in the three Gorges Reservoir Area, China – lessons learned from decades of research. Eng Geol 261:105267

    Article  Google Scholar 

  • Wang FW, Li TL (2009) Landslide disaster mitigation in Three Gorges Reservoir, China. Springer, Berlin

    Book  Google Scholar 

  • Wang FW, Zhang YM, Huo ZT, Matsumoto T, Huang BL (2004) The July 14, 2003 Qianjiangping landslide, three gorges reservoir, China. Landslides 1(2):157–162

    Article  Google Scholar 

  • Wang G, Sassa K (2001) Factors affecting rainfall-induced flowslides in laboratory flume tests. Geotechnique 51:587–599

    Article  Google Scholar 

  • Wang JJ, Xiao LL, Zhang J, Zhu YB (2020a) Deformation characteristics and failure mechanisms of a rainfall-induced complex landslide in Wanzhou County, Three Gorges Reservoir, China. Landslides 17:419–431

    Article  Google Scholar 

  • Wang JZ, Wang Y, Li HM, Yang HF, Li ZW (2022) Ensemble forecasting system based on decomposition-selection-optimization for point and interval carbon price prediction. Appl Math Model. https://doi.org/10.1016/j.apm.2022.09.004

  • Wang YK, Tang HM, Wen T, Ma JW, Zou ZX, Xiong CR (2019a) Point and interval predictions for Tanjiahe landslide displacement in the Three Gorges Reservoir Area, China. Geoflfluids 2019:8985325

    Google Scholar 

  • Wang YK, Tang HM, Wen T, Ma JW (2019b) A hybrid intelligent approach for constructing landslide displacement prediction intervals. Appl Soft Comput 81:105506

    Article  Google Scholar 

  • Wang YK, Tang HM, Wen T, Ma JW (2020b) Direct interval prediction of landslide displacements using least squares support vector machines. Complexity 2020:1–15

    Google Scholar 

  • Wu LZ, Zhu SR, Peng J (2020) Application of the Chebyshev spectral method to the simulation of groundwater flow and rainfall-induced landslides. Appl Math Model 80:408–425

    Article  Google Scholar 

  • Wu YP, Cheng C, He GF, Zhang QX (2014) Landslide stability analysis based on random-fuzzy reliability: taking Liangshuijing landslide as a case. Stoch Env Res Risk A 28(7):1723–1732

    Article  Google Scholar 

  • Xia M, Ren GM, Ma XL (2013) Deformation and mechanism of landslide influenced by the effects of reservoir water and rainfall, Three Gorges, China. Nat Hazards 68(2):467–482

    Article  Google Scholar 

  • Yao WM, Li CD, Zuo QJ, Zhan HB, Criss RE (2019) Spatiotemporal deformation characteristics and triggering factors of Baijiabao landslide in Three Gorges Reservoir region, China. Geomorphology 343:34–47

    Article  Google Scholar 

  • Zhang WG, Tang LB, Li HR, Wang L, Cheng LF, Zhou TQ, Chen X (2020) Probabilistic stability analysis of Bazimen landslide with monitored rainfall data and water level fluctuations in Three Gorges Reservoir, China. Front Struct Civ Eng 14(5):1247–1261

    Article  Google Scholar 

  • Zhang WG, Wu CZ, Tang LB, Gu X, Wang L (2022) Efficient time-variant reliability analysis of Bazimen landslide in the Three Gorges Reservoir Area using XGBoost and LightGBM algorithms. Gondwana Res. https://doi.org/10.1016/j.gr.2022.10.004

  • Zhang YJ, Ayyub BM, Gong WP, Tang HM (2023) Risk assessment of roadway networks exposed to landslides in mountainous regions—a case study in Fengjie County, China. Landslides. https://doi.org/10.1007/s10346-023-02045-3

  • Zhou C, Yin KL, Cao Y, Ahmed B (2016) Application of time series analysis and PSO-SVM model in predicting the Bazimen landslide in the Three Gorges Reservoir, China. Eng Geol 204:108–120

    Article  Google Scholar 

  • Zhou C, Yin KL, Cao Y, Intrieri E, Ahmed B, Catani F (2018) Displacement prediction of step-like landslide by applying a novel kernel extreme learning machine method. Landslides 15(11):2211–2225

    Article  Google Scholar 

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Funding

This work is financially supported by the Major Program of the National Natural Science Foundation of China (Grant No. 42090055) and the National Natural Science Foundation of China (Grant No. 41977242). The support is gratefully acknowledged.

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Correspondence to Wenping Gong.

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Zhang, Y., Tian, S., Gong, W. et al. Adaptive interval prediction method for step-like landslide displacement with dynamic switching between different deformation states. Bull Eng Geol Environ 82, 403 (2023). https://doi.org/10.1007/s10064-023-03418-7

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