Abstract
Accurate and reliable displacement prediction is vital for developing landslide early warning system, since displacement variations directly reveal the evolution of landslide. The past decade has seen the rapid development of displacement prediction technology. Most of the existing studies are based on deterministic point prediction models, with the goal of obtaining high-precision predictions. However, these pointwise predictions do not give any indication of credibility, which makes it difficult to make accurate decisions for subsequent landslide treatment. To address this problem, a prediction interval estimation method, instead of point prediction, for landslide displacement is proposed. In the methodology, double exponential smoothing is employed to deal with the nonlinear cumulative displacement, while two support vector machines are proposed to directly generate the displacement lower boundary and upper boundary. To obtain optimal model parameters, the adaptive chicken swarm optimization using chaotic mapping and adaptive inertia weight strategies is proposed to minimize a modified prediction interval-based objective function. A real-world landslide displacement data set is used to demonstrate the proposed method. Experimental results show that it is a promising tool for the construction of high-quality prediction intervals, which can inform the landslide treatment-related decision-making.














Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Zhu X, Xu Q, Tang M, Li H, Liu F (2018) A hybrid machine learning and computing model for forecasting displacement of multifactor-induced landslides. Neural Comput Applic 30(12):3825–3835
Xing Y, Yue J, Chen C (2020) Interval estimation of landslide displacement prediction based on time series decomposition and long short-term memory network. IEEE Access 8:3187– 3196
Xing Y, Yue J, Chen C, Cong K, Zhu S, Bian Y (2019) Dynamic displacement forecasting of dashuitian landslide in China using variational mode decomposition and stack long short-term memory network. Appl Sci 9(15):2951
Chen J, Zeng Z, Jiang P, Tang H (2016) Application of multi-gene genetic programming based on separable functional network for landslide displacement prediction. Neural Comput Applic 27(6):1771–1784
Yang B, Yin K, Lacasse S, Liu Z (2019) Time series analysis and long short-term memory neural network to predict landslide displacement. Landslides 16(4):677–694
Wang Y, Tang H, Wen T, Ma J (2019) A hybrid intelligent approach for constructing landslide displacement prediction intervals. Appl Soft Comput 81:105506
Xu S, Niu R (2018) Displacement prediction of Baijiabao landslide based on empirical mode decomposition and long short-term memory neural network in Three Gorges area, China. Comput Geoscie 111:87–96
Wang Y, Tang H, Wen T, Ma J (2020) Direct interval prediction of landslide displacements using least squares support vector machines. Complexity 2020:7082594
Lian C, Zeng Z, Yao W, Tang H, 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
Lian C, Zhu L, Zeng Z, Su Y, Yao W, Tang H (2018) Constructing prediction intervals for landslide displacement using bootstrapping random vector functional link networks selective ensemble with neural networks switched. Neurocomputing 291:1–10
Miao F, Wu Y, Xie Y, Li Y (2018) Prediction of landslide displacement with step-like behavior based on multialgorithm optimization and a support vector regression model. Landslides 15(3):475–488
Zhou C, Yin K, 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
Huang F, Huang J, Jiang S, Zhou C (2017) Landslide displacement prediction based on multivariate chaotic model and extreme learning machine. Eng Geol 218:173–186
Guo Z, Chen L, Gui L, Du J, Yin K, Do HM (2020) Landslide displacement prediction based on variational mode decomposition and WA-GWO-BP model. Landslides 17(3):567–583
Zhou C, Yin K, Cao Y, Ahmed B (2016) Application of time series analysis and PSO”CSVM model in predicting the Bazimen landslide in the Three Gorges Reservoir, China. Eng Geol 204:108–120
Jiang P, Chen J (2016) Displacement prediction of landslide based on generalized regression neural networks with K-fold cross-validation. Neurocomputing 198:40–47
Li H, Xu Q, He Y, Deng J (2018) Prediction of landslide displacement with an ensemble-based extreme learning machine and copula models. Landslides 15(10):2047–2059
Cai Z, Xu W, Meng Y, Shi C, Wang R (2016) Prediction of landslide displacement based on GA-LSSVM with multiple factors. Bull Eng Geol Environ 75(2):637–646
Xie P, Zhou A, Chai B (2019) The application of long short-term memory (LSTM) method on displacement prediction of multifactor-induced landslides. IEEE Access 7:54305–54311
Zhu X, Xu Q, Tang M, Nie W, Ma S, Xu Z (2017) Comparison of two optimized machine learning models for predicting displacement of rainfall-induced landslide: A case study in Sichuan Province, China. Eng Geol 218:213–222
De Veaux RD, Schumi J, Schweinsberg J, Ungar LH (1998) Prediction intervals for neural networks via nonlinear regression. Technometrics 40(4):273–282
MacKay DJC (1992) The evidence framework applied to classification networks. Neural Comput 4(5):720–736
Sheng C, Zhao J, Wang W, Leung H (2013) Prediction intervals for a noisy nonlinear time series based on a bootstrapping reservoir computing network ensemble. IEEE Trans Neural Netw Learn Syst 24 (7):1036–1048
Nix DA, Weigend AS (1994) Estimating the mean and variance of the target probability distribution. In: IEEE International conference on neural networks, Orlando, FL, USA, pp 55–60
Taormina R, Chau KW (2015) ANN-Based interval forecasting of streamflow discharges using the LUBE method and MOFIPS. Eng Appl Artif Intell 45:429–440
Khosravi A, Nahavandi S, Creighton D, Atiya AF (2011) Comprehensive review of neural network-based prediction intervals and new advances. IEEE Trans Neural Netw 22(9):1341–1356
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
Ak R, Li Y, Vitelli V, Zio E, Droguett EL, Jacinto CMC (2013) NSGA-II-Trained neural network approach to the estimation of prediction intervals of scale deposition rate in oil & gas equipment. Expert Syst Appl 40(4):1205–1212
Quan H, Srinivasan D, Khosravi A (2014) Short-term load and wind power forecasting using neural network-based prediction intervals. IEEE Trans Neural Netw Learn Syst 25(2):303– 315
Shrivastava NA, Khosravi A, Panigrahi BK (2015) Prediction interval estimation of electricity prices using PSO-tuned support vector machines. IEEE Trans Industr Inform 11(2):322–331
Meng X, Liu Y, Gao X, Zhang H (2014) A new bio-inspired algorithm: chicken swarm optimization. In: International conference in swarm intelligence. Springer, Cham, pp 86–94
Othman AM, El-Fergany AA (2020) Adaptive virtual-inertia control and chicken swarm optimizer for frequency stability in power-grids penetrated by renewable energy sources. Neural Computing and Applications, to be published. https://doi.org/10.1007/s00521-020-05054-8
Chen C, Lu N, Jiang B, Wang C (2020) A risk-averse remaining useful life estimation for predictive maintenance. IEEE/CAA J Automatic Sinica 8(2):412–422
Sayed GI, Khoriba G, Haggag MH (2018) A novel chaotic salp swarm algorithm for global optimization and feature selection. Appl Intell 48:3462–3481
Zhao X (2012) Comparative study on the optimization performance of different one-dimensional chaotic maps. Comput Appl Res 29(3):913–915. (in Chinese)
Shi Y, Eberhart R (1998) A modified particle swarm optimizer. In: IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence, pp 69–73
Cortes C, Vapnik V (1995) Support-vector networks. Mach Learn 20(3):273–297
Qin T, Zeng S, Guo J (2015) Robust prognostics for state of health estimation of lithium-ion batteries based on an improved PSO”CSVR model. Microelectron Reliab 55(9–10):1280–1284
Xing Y, Yue J, Chen C, Qin Y, Hu J (2020) A hybrid prediction model of landslide displacement with risk-averse adaptation. Comput Geosci 104527:141
Bansal JC, Sharma H, Jadon SS, Clerc M (2014) Spider monkey optimization algorithm for numerical optimization. Memetic Comput 6(1):31–47
Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61
Chang CC, Lin CJ (2011) LIBSVM: A library for support vector machines. ACM Trans Intell Syst Technol 2(3):1–27
Ma J, Tang H, Liu X, Wen T, Zhang J, Tan Q, Fan Z (2018) Probabilistic forecasting of landslide displacement accounting for epistemic uncertainty: a case study in the Three Gorges Reservoir area, China. Landslides 15(6):1145–1153
Wan C, Xu Z, Pinson P, Dong ZY, Wong KP (2014) Optimal prediction intervals of wind power generation. IEEE Trans Power Syst 29(3):1166–1174
Acknowledgements
The authors would like to thank for the data set provided by “Chinese Research Network or Special Environment and Disaster”. This work was supported by the Postgraduate Research & Practice Innovation Program of Jiangsu Province (KYCX20_0484), China Scholarship Council (202006710110), and National Key Research and Development Program of China (2018YFC1508603).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing interests
The authors declare no conflict of interest.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Xing, Y., Yue, J., Chen, C. et al. Prediction interval estimation of landslide displacement using adaptive chicken swarm optimization-tuned support vector machines. Appl Intell 51, 8466–8483 (2021). https://doi.org/10.1007/s10489-021-02337-y
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10489-021-02337-y