Technical Papers
Jul 7, 2021

Improving Prediction Accuracy of Hydrologic Time Series by Least-Squares Support Vector Machine Using Decomposition Reconstruction and Swarm Intelligence

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Publication: Journal of Hydrologic Engineering
Volume 26, Issue 9

Abstract

Accurate hydrologic forecasting plays a significant role in water resource planning and management. To improve the prediction accuracy, this study develops a hybrid hydrological forecasting method based on signal decomposition reconstruction and swarm intelligence. Firstly, the ensemble empirical mode decomposition is utilized to divide the nonlinear runoff data series into several simple subsignals. Secondly, the least-squares support vector machine using the gravitational search algorithm is used to recognize the relationship between previous inputs and the target output in each subsignal. Next, the forecasting result is obtained by summarizing the total outputs of all the models. Four famous indexes are used to evaluate the performances of various forecasting models in monthly runoff of two hydrological stations in China. The applications in different scenarios show that the hybrid method obtains better results than several control models. For the runoff at Cuntan Station, the hybrid method makes 58.9% and 52.4% improvements in the root-mean squared error value compared with the artificial neural network and support vector machine at the training phase. Thus, a practical data-driven tool is developed to predict hydrological time series.

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Data Availability Statement

Due to the strict security requirements from the departments, all the data, models, or code generated or used in the study are proprietary or confidential in nature and may only be provided with restrictions (e.g., anonymized data).

Acknowledgments

This paper is supported by the Fundamental Research Funds for the Central Universities (B210201046), the National Natural Science Foundation of China (52009012), Natural Science Foundation of Hubei Province (2020CFB340), and National Natural Science Foundation of China (U1865202 and 51709119). The authors would like to thank editors and reviewers for their valuable comments and suggestions.

References

Bai, T., J. X. Chang, F. J. Chang, Q. Huang, Y. M. Wang, and G. S. Chen. 2015. “Synergistic gains from the multi-objective optimal operation of cascade reservoirs in the Upper Yellow River Basin.” J. Hydrol. 523 (Apr): 758–767. https://doi.org/10.1016/j.jhydrol.2015.02.007.
Barman, M., and N. B. Dev Choudhury. 2020. “A similarity based hybrid GWO-SVM method of power system load forecasting for regional special event days in anomalous load situations in Assam, India.” Sustainable Cities Soc. 61 (Oct): 102311. https://doi.org/10.1016/j.scs.2020.102311.
Bingqing, Z., Z. Ruochen, and L. Xiaodong. 2019. “Environmental and human health impact assessment of major interior wall decorative materials.” Front. Eng. Manage. 6 (3): 406–415. https://doi.org/10.1007/s42524-019-0025-4.
Chang, J., Y. Wang, E. Istanbulluoglu, T. Bai, Q. Huang, D. Yang, and S. Huang. 2015. “Impact of climate change and human activities on runoff in the Weihe River Basin, China.” Quat. Int. 380–381 (Sep): 169–179. https://doi.org/10.1016/j.quaint.2014.03.048.
Chen, D., R. Zhang, J. C. Sprott, H. Chen, and X. Ma. 2012. “Synchronization between integer-order chaotic systems and a class of fractional-order chaotic systems via sliding mode control.” Chaos 22 (2): 023130. https://doi.org/10.1063/1.4721996.
Chen, P., Y. Wang, G. J. You, and C. Wei. 2017. “Comparison of methods for non-stationary hydrologic frequency analysis: Case study using annual maximum daily precipitation in Taiwan.” J. Hydrol. 545 (Feb): 197–211. https://doi.org/10.1016/j.jhydrol.2016.12.001.
Chen, Z., X. Yuan, H. Tian, and B. Ji. 2014. “Improved gravitational search algorithm for parameter identification of water turbine regulation system.” Energy Convers. Manage. 78 (Feb): 306–315. https://doi.org/10.1016/j.enconman.2013.10.060.
Deo, R. C., and P. Samui. 2017. “Forecasting evaporative loss by least-square support-vector regression and evaluation with genetic programming, gaussian process, and minimax probability machine regression: Case study of Brisbane city.” J. Hydrol. Eng. 22 (6): 05017003. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001506.
Feng, Z., and W. Niu. 2021. “Hybrid artificial neural network and cooperation search algorithm for nonlinear river flow time series forecasting in humid and semi-humid regions.” Knowledge Based Syst. 211 (Jan): 106580. https://doi.org/10.1016/j.knosys.2020.106580.
Feng, Z., W. Niu, Z. Tang, Y. Xu, and H. Zhang. 2021a. “Evolutionary artificial intelligence model via cooperation search algorithm and extreme learning machine for multiple scales nonstationary hydrological time series prediction.” J. Hydrol. 595 (Apr): 126062. https://doi.org/10.1016/j.jhydrol.2021.126062.
Feng, Z. K., W. J. Niu, and S. Liu. 2021b. “Cooperation search algorithm: A novel metaheuristic evolutionary intelligence algorithm for numerical optimization and engineering optimization problems.” Appl. Soft Comput. 98 (Jan): 106734. https://doi.org/10.1016/j.asoc.2020.106734.
Fu, W., K. Wang, and C. Zhang. 2019. “A hybrid approach for measuring the vibrational trend of hydroelectric unit with enhanced multi-scale chaotic series analysis and optimized least squares support vector machine.” Trans. Inst. Meas. Control 41 (15): 4436–4449. https://doi.org/10.1177/0142331219860279.
He, L., G. H. Huang, Q. Li, R. F. Liao, J. H. Huang, P. T. Paitoon, and G. M. Zeng. 2004. “Stochastic optimization programming for multi-reach river system using GA combined with stochastic simulation.” Supplement, Trans. Nonferrous Met. Soc. China (English Ed.) 14 (S1): 31–36.
Huang, S., J. Chang, Q. Huang, and Y. Chen. 2014. “Monthly streamflow prediction using modified EMD-based support vector machine.” J. Hydrol. 511 (Apr): 764–775. https://doi.org/10.1016/j.jhydrol.2014.01.062.
Huang, S., Q. Huang, G. Leng, M. Zhao, and E. Meng. 2017a. “Variations in annual water-energy balance and their correlations with vegetation and soil moisture dynamics: A case study in the Wei River Basin, China.” J. Hydrol. 546 (Mar): 515–525. https://doi.org/10.1016/j.jhydrol.2016.12.060.
Huang, S., B. Ming, Q. Huang, G. Leng, and B. Hou. 2017b. “A case study on a combination NDVI forecasting model based on the entropy weight method.” Water Resour. Manage. 31 (11): 3667–3681. https://doi.org/10.1007/s11269-017-1692-8.
Kang, A., Q. Tan, X. Yuan, X. Lei, and Y. Yuan. 2017. “Short-term wind speed prediction using EEMD-LSSVM model.” Adv. Meteorol. https://doi.org/10.1155/2017/6856139.
Kang, F., J. Li, and J. Li. 2016. “System reliability analysis of slopes using least squares support vector machines with particle swarm optimization.” Neurocomputing 209 (Oct): 46–56. https://doi.org/10.1016/j.neucom.2015.11.122.
Kim, T., J. Shin, S. Kim, and J. Heo. 2018. “Identification of relationships between climate indices and long-term precipitation in South Korea using ensemble empirical mode decomposition.” J. Hydrol. 557 (Feb): 726–739. https://doi.org/10.1016/j.jhydrol.2017.12.069.
Liu, D., G. Li, Q. Fu, M. Li, C. Liu, M. A. Faiz, M. I. Khan, T. Li, and S. Cui. 2018. “Application of particle swarm optimization and extreme learning machine forecasting models for regional groundwater depth using nonlinear prediction models as preprocessor.” J. Hydrol. Eng. 23 (12): 04018052. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001711.
Liu, G., J. Zhou, B. Jia, F. He, Y. Yang, and N. Sun. 2019. “Advance short-term wind energy quality assessment based on instantaneous standard deviation and variogram of wind speed by a hybrid method.” Appl. Energy 238 (Mar): 643–667. https://doi.org/10.1016/j.apenergy.2019.01.105.
Liu, P., L. Li, S. Guo, L. Xiong, W. Zhang, J. Zhang, and C. Y. Xu. 2015. “Optimal design of seasonal flood limited water levels and its application for the Three Gorges Reservoir.” J. Hydrol. 527 (Aug): 1045–1053. https://doi.org/10.1016/j.jhydrol.2015.05.055.
Ma, C., J. Lian, and J. Wang. 2013. “Short-term optimal operation of Three-Gorge and Gezhouba cascade hydropower stations in non-flood season with operation rules from data mining.” Energy Convers. Manage. 65 (Jan): 616–627. https://doi.org/10.1016/j.enconman.2012.08.024.
Madani, K., M. Guégan, and C. B. Uvo. 2014. “Climate change impacts on high-elevation hydroelectricity in California.” J. Hydrol. 510 (Mar): 153–163. https://doi.org/10.1016/j.jhydrol.2013.12.001.
Madani, K., and J. R. Lund. 2009. “Modeling California’s high-elevation hydropower systems in energy units.” Water Resour. Res. 45 (9): W09413. https://doi.org/10.1029/2008WR007206.
Meng, E., S. Huang, Q. Huang, W. Fang, L. Wu, and L. Wang. 2019. “A robust method for non-stationary streamflow prediction based on improved EMD-SVM model.” J. Hydrol. 568 (Jan): 462–478. https://doi.org/10.1016/j.jhydrol.2018.11.015.
Nabipour, N., S. N. Qasem, E. Salwana, and A. Baghban. 2020. “Evolving LSSVM and ELM models to predict solubility of non-hydrocarbon gases in aqueous electrolyte systems.” Measurement 164 (Nov): 107999. https://doi.org/10.1016/j.measurement.2020.107999.
Nikam, V., and K. Gupta. 2014. “SVM-based model for short-term rainfall forecasts at a local scale in the Mumbai Urban Area, India.” J. Hydrol. Eng. 19 (5): 1048–1052. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000875.
Niu, W., Z. Feng, S. Li, H. Wu, and J. Wang. 2021a. “Short-term electricity load time series prediction by machine learning model via feature selection and parameter optimization using hybrid cooperation search algorithm.” Environ. Res. Lett. 16 (5): 055032. https://doi.org/10.1088/1748-9326/abeeb1.
Niu, W., Z. Feng, and S. Liu. 2021b. “Multi-strategy gravitational search algorithm for constrained global optimization in coordinative operation of multiple hydropower reservoirs and solar photovoltaic power plants.” Appl. Soft Comput. 107 (Aug): 107315. https://doi.org/10.1016/j.asoc.2021.107315.
Niu, W. J., Z. K. Feng, B. F. Feng, Y. S. Xu, and Y. W. Min. 2021c. “Parallel computing and swarm intelligence based artificial intelligence model for multi-step-ahead hydrological time series prediction.” Sustain Cities Soc 66 (Mar): 102686. https://doi.org/10.1016/j.scs.2020.102686.
Niu, W. J., Z. K. Feng, S. Liu, Y. B. Chen, Y. S. Xu, and J. Zhang. 2021d. “Multiple hydropower reservoirs operation by hyperbolic grey wolf optimizer based on elitism selection and adaptive mutation.” Water Resour. Manage. 35 (2): 573–591. https://doi.org/10.1007/s11269-020-02737-8.
Olyaie, E., H. Banejad, K. W. Chau, and A. M. Melesse. 2015. “A comparison of various artificial intelligence approaches performance for estimating suspended sediment load of river systems: A case study in United States.” Environ. Monit. Assess. 187 (4): 1–22. https://doi.org/10.1007/s10661-015-4381-1.
Peacuterez Lespier, L., S. Long, T. Shoberg, and S. Corns. 2019. “A model for the evaluation of environmental impact indicators for a sustainable maritime transportation systems.” Front. Eng. Manage. 6 (3): 368. https://doi.org/10.1007/s42524-019-0004-9.
Pelusi, D., R. Mascella, L. Tallini, J. Nayak, B. Naik, and Y. Deng. 2019. “Improving exploration and exploitation via a hyperbolic gravitational search algorithm.” Knowledge-Based Syst. 193 (Apr): 105404. https://doi.org/10.1016/j.knosys.2019.105404.
Rajaee, T., and H. Jafari. 2020. “Two decades on the artificial intelligence models advancement for modeling river sediment concentration: State-of-the-art.” J. Hydrol. 588: 125011. https://doi.org/10.1016/j.jhydrol.2020.125011.
Rakhshandehroo, G., H. Akbari, M. A. Igder, and E. Ostadzadeh. 2018. “Long-term groundwater-level forecasting in shallow and deep wells using wavelet neural networks trained by an improved harmony search algorithm.” J. Hydrol. Eng. 23 (2): 04017058. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001591.
Rashedi, E., H. Nezamabadi-Pour, and S. Saryazdi. 2009. “GSA: A gravitational search algorithm.” Inf. Sci. 179 (13): 2232–2248. https://doi.org/10.1016/j.ins.2009.03.004.
Rezaie-Balf, M., S. Kim, H. Fallah, and S. Alaghmand. 2019. “Daily river flow forecasting using ensemble empirical mode decomposition based heuristic regression models: Application on the perennial rivers in Iran and South Korea.” J. Hydrol. 572 (May): 470–485. https://doi.org/10.1016/j.jhydrol.2019.03.046.
Sun, L., O. Seidou, and I. Nistor. 2017. “Data assimilation for streamflow forecasting: State-parameter assimilation versus output assimilation.” J. Hydrol. Eng. 22 (3): 04016060. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001475.
Tan, Q. F., X. H. Lei, X. Wang, H. Wang, X. Wen, Y. Ji, and A. Q. Kang. 2018. “An adaptive middle and long-term runoff forecast model using EEMD-ANN hybrid approach.” J. Hydrol. 567 (Dec): 767–780. https://doi.org/10.1016/j.jhydrol.2018.01.015.
Taormina, R., and K. W. Chau. 2015. “Data-driven input variable selection for rainfall-runoff modeling using binary-coded particle swarm optimization and extreme learning machines.” J. Hydrol. 529 (Oct): 1617–1632. https://doi.org/10.1016/j.jhydrol.2015.08.022.
Taormina, R., K. W. Chau, and R. Sethi. 2012. “Artificial neural network simulation of hourly groundwater levels in a coastal aquifer system of the Venice lagoon.” Eng. Appl. Artif. Intell. 25 (8): 1670–1676. https://doi.org/10.1016/j.engappai.2012.02.009.
Wang, S., Y. Cao, T. Huang, Y. Chen, and S. Wen. 2020a. “Event-triggered distributed control for synchronization of multiple memristive neural networks under cyber-physical attacks.” Inform Sci. 518 (May): 361–375. https://doi.org/10.1016/j.ins.2020.01.022.
Wang, S., Y. Cao, S. Wen, Z. Guo, T. Huang, and Y. Chen. 2020b. “Projective synchroniztion of neural networks via continuous/periodic event-based sampling algorithms.” IEEE Trans. Network Sci. Eng. 7 (4): 2746–2754. https://doi.org/10.1109/TNSE.2020.2985409.
Wang, W. C., K. W. Chau, D. M. Xu, and X. Y. Chen. 2015. “Improving forecasting accuracy of annual runoff time series using ARIMA based on EEMD decomposition.” Water Resour Manag 29 (8): 2655–2675. https://doi.org/10.1007/s11269-015-0962-6.
Wang, W. C., D. M. Xu, K. W. Chau, and S. Chen. 2013. “Improved annual rainfall-runoff forecasting using PSO-SVM model based on EEMD.” J. Hydroinf. 15 (4): 1377–1390. https://doi.org/10.2166/hydro.2013.134.
Wei, X., R. T. Bailey, and A. Tasdighi. 2018. “Using the SWAT model in intensively managed irrigated watersheds: Model modification and application.” J. Hydrol. Eng. 23 (10): 04018044. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001696.
Wen, S., M. Dong, Y. Yang, P. Zhou, T. Huang, and Y. Chen. 2020. “End-to-end detection-segmentation network for face labeling.” IEEE Trans. Emerg. Topics Comput. Intell. 5 (3): 457–467. https://doi.org/10.1109/TETCI.2019.2947319.
Wen, X., Q. Feng, R. C. Deo, M. Wu, Z. Yin, L. Yang, and V. P. Singh. 2019. “Two-phase extreme learning machines integrated with the complete ensemble empirical mode decomposition with adaptive noise algorithm for multi-scale runoff prediction problems.” J. Hydrol. 570 (Mar): 167–184. https://doi.org/10.1016/j.jhydrol.2018.12.060.
Wu, C. L., K. W. Chau, and C. Fan. 2010. “Prediction of rainfall time series using modular artificial neural networks coupled with data-preprocessing techniques.” J. Hydrol. 389 (1–2): 146–167. https://doi.org/10.1016/j.jhydrol.2010.05.040.
Yan, Z., J. Chen, R. Hu, T. Huang, Y. Chen, and S. Wen. 2020. “Training memristor-based multilayer neuromorphic networks with SGD, momentum and adaptive learning rates.” Neural Networks 128 (Aug): 142–149. https://doi.org/10.1016/j.neunet.2020.04.025.
Yang, T., A. A. Asanjan, M. Faridzad, N. Hayatbini, X. Gao, and S. Sorooshian. 2017a. “An enhanced artificial neural network with a shuffled complex evolutionary global optimization with principal component analysis.” Inf. Sci. 418–419 (Dec): 302–316. https://doi.org/10.1016/j.ins.2017.08.003.
Yang, T., A. A. Asanjan, E. Welles, X. Gao, S. Sorooshian, and X. Liu. 2017b. “Developing reservoir monthly inflow forecasts using artificial intelligence and climate phenomenon information.” Water Resour. Res. 53 (4): 2786–2812. https://doi.org/10.1002/2017WR020482.
Yang, T., X. Gao, S. L. Sellars, and S. Sorooshian. 2015. “Improving the multi-objective evolutionary optimization algorithm for hydropower reservoir operations in the California Oroville-Thermalito complex.” Environ. Modell. Software 69 (Jul): 262–279. https://doi.org/10.1016/j.envsoft.2014.11.016.
Yazdani, M. R., and A. A. Zolfaghari. 2017. “Monthly river forecasting using instance-based learning methods and climatic parameters.” J. Hydrol. Eng. 22 (6): 04017002. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001490.
Yin, X. A., Y. Liu, Z. Yang, Y. Zhao, Y. Cai, T. Sun, and W. Yang. 2018. “Eco-compensation standards for sustaining high flow events below hydropower plants.” J. Cleaner Prod. 182 (May): 1–7. https://doi.org/10.1016/j.jclepro.2018.01.204.
Yuan, X., C. Chen, Y. Yuan, Y. Huang, and Q. Tan. 2015. “Short-term wind power prediction based on LSSVM-GSA model.” Energy Convers. Manage. 101 (Sep): 393–401. https://doi.org/10.1016/j.enconman.2015.05.065.
Yuan, X., Q. Tan, X. Lei, Y. Yuan, and X. Wu. 2017. “Wind power prediction using hybrid autoregressive fractionally integrated moving average and least square support vector machine.” Energy 129 (Jun): 122–137. https://doi.org/10.1016/j.energy.2017.04.094.
Zhang, D., J. Lin, Q. Peng, D. Wang, T. Yang, S. Sorooshian, X. Liu, and J. Zhuang. 2018. “Modeling and simulating of reservoir operation using the artificial neural network, support vector regression, deep learning algorithm.” J. Hydrol. 565 (Oct): 720–736. https://doi.org/10.1016/j.jhydrol.2018.08.050.
Zhao, T., A. Schepen, and Q. J. Wang. 2016. “Ensemble forecasting of sub-seasonal to seasonal streamflow by a Bayesian joint probability modelling approach.” J. Hydrol. 541 (Oct): 839–849. https://doi.org/10.1016/j.jhydrol.2016.07.040.
Zhao, T., and J. Zhao. 2014. “Forecast-skill-based simulation of streamflow forecasts.” Adv. Water Resour. 71 (Sep): 55–64. https://doi.org/10.1016/j.advwatres.2014.05.011.
Zheng, F., A. C. Zecchin, J. P. Newman, H. R. Maier, and G. C. Dandy. 2017. “An adaptive convergence-trajectory controlled ant colony optimization algorithm with application to water distribution system design problems.” IEEE Trans. Evol. Comput. 21 (5): 773–791. https://doi.org/10.1109/TEVC.2017.2682899.
Zhisong, C., F. Li, and W. Huimin. 2019. “Internal incentives and operations strategies for the water-saving supply chain with cap-and-trade regulation.” Front. Eng. Manage. 6 (1): 87–101. https://doi.org/10.1007/s42524-019-0006-7.

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Journal of Hydrologic Engineering
Volume 26Issue 9September 2021

History

Received: Sep 10, 2020
Accepted: May 3, 2021
Published online: Jul 7, 2021
Published in print: Sep 1, 2021
Discussion open until: Dec 7, 2021

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Wen-jing Niu [email protected]
Senior Engineer, Bureau of Hydrology, ChangJiang Water Resources Commission, Jiefang Ave. No. 1863, Wuhan 430010, China. Email: [email protected]
Zhong-kai Feng [email protected]
Professor, College of Hydrology and Water Resources, Hohai Univ., Nanjing 210098, China (corresponding author). Email: [email protected]
Yin-shan Xu [email protected]
Senior Engineer, Bureau of Hydrology, ChangJiang Water Resources Commission, Jiefang Ave. No. 1863, Wuhan 430010, China. Email: [email protected]
Bao-fei Feng [email protected]
Senior Engineer, Bureau of Hydrology, ChangJiang Water Resources Commission, Jiefang Ave. No. 1863, Wuhan 430010, China. Email: [email protected]
Professor of Engineering, Bureau of Hydrology, ChangJiang Water Resources Commission, Jiefang Ave. No. 1863, Wuhan 430010, China. Email: [email protected]

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