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Abstract
● A novel VMD-IGOA-LSTM model has proposed for the prediction of water quality.
● Improved model quickly converges to the global optimal fitness and remains stable.
● The prediction accuracy of water quality parameters is significantly improved.
Water quality prediction is vital for solving water pollution and protecting the water environment. In terms of the characteristics of nonlinearity, instability, and randomness of water quality parameters, a short-term water quality prediction model was proposed based on variational mode decomposition (VMD) and improved grasshopper optimization algorithm (IGOA), so as to optimize long short-term memory neural network (LSTM). First, VMD was adopted to decompose the water quality data into a series of relatively stable components, with the aim to reduce the instability of the original data and increase the predictability, then each component was input into the IGOA-LSTM model for prediction. Finally, each component was added to obtain the predicted values. In this study, the monitoring data from Dayangzhou Station and Shengmi Station of the Ganjiang River was used for training and prediction. The experimental results showed that the prediction accuracy of the VMD-IGOA-LSTM model proposed was higher than that of the integrated model of Ensemble Empirical Mode Decomposition (EEMD), the integrated model of Complete Ensemble Empirical Mode Decomposition with Adaptive Noise (CEEMDAN), Nonlinear Autoregressive Network with Exogenous Inputs (NARX), Recurrent Neural Network (RNN), as well as other models, showing better performance in short-term prediction. The current study will provide a reliable solution for water quality prediction studies in other areas.
Graphical abstract
Keywords
Water quality prediction
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Grasshopper optimization algorithm
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Variational mode decomposition
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Long short-term memory neural network
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Zhaocai Wang, Qingyu Wang, Tunhua Wu.
A novel hybrid model for water quality prediction based on VMD and IGOA optimized for LSTM.
Front. Environ. Sci. Eng., 2023, 17(7): 88 DOI:10.1007/s11783-023-1688-y
| [1] |
Ahmed A N , Othman F B , Afan H A , Ibrahim R K , Elshafie A , Fai M C , Hossain M S , Ehteram M , Elshafie A . (2019). Machine learning methods for better water quality prediction. Journal of Hydrology (Amsterdam), 578: 124084
|
| [2] |
Babbar R , Chaubey I . (2021). Multiple regression analysis for predicting few water quality parameters at unmonitored sub-watershed outlets in the St. Joseph River basin, USA. Geocarto International, (11): 1–27
|
| [3] |
Bai J , Zhao J , Zhang Z Y , Tian Z Q . (2022). Assessment and a review of research on surface water quality modeling. Ecological Modelling, 466: 109888
|
| [4] |
Bi J , Lin Y Z , Dong Q X , Yuan H T , Zhou M C . (2021). Large-scale water quality prediction with integrated deep neural network. Information Sciences, 571: 191–205
|
| [5] |
BrownL CBarnwellT O (1987). The enhanced stream water quality models qual2e and qual2e-uncas: documentation and user manual. Washington DC: Environmental Research Laboratory Office of Research and Development U.S. Environment Protection Agency
|
| [6] |
Burigato Costa C M S , da Silva Marques L , Almeida A K , Leite I R , de Almeida I K . (2019). Applicability of water quality models around the world: a review. Environmental Science and Pollution Research, 26(36): 36141–36162
|
| [7] |
Chen Y , Zou R , Han S , Bai S , Faizullabhoy M , Wu Y , Guo H . (2017). Development of an integrated water quality and macroalgae simulation model for Tidal Marsh eutrophication control decision support. Water (Basel), 9(4): 277
|
| [8] |
ChuehY YFanCHuangY Z (2020). Copper concentration simulation in a river by swat-wasp integration and its application to assessing the impacts of climate change and various remediation strategies. Journal of Environmental Management, 279(2–4): 111613
|
| [9] |
Deng W , Xu J , Gao X Z , Zhao H . (2022a). An enhanced MSIQDE algorithm with novel multiple strategies for global optimization problems. IEEE Transactions on Systems, Man, and Cybernetics. Systems, 52(3): 1578–1587
|
| [10] |
Deng W , Xu J , Zhao H , Song Y . (2022b). A novel gate resource allocation method using improved PSO-based QEA. IEEE Transactions on Intelligent Transportation Systems, 23(3): 1737–1745
|
| [11] |
Deng Y , Zhou X , Shen J , Xiao G , Hong H , Lin H , Wu F , Liao B Q . (2021). New methods based on backpropagation (BP) and radial basis function (RBF) artificial neural networks (ANNS) for predicting the occurrence of haloketones in tap water. Science of the Total Environment, 772(6): 145534
|
| [12] |
Diebold F , Mariano R . (1995). Comparing predictive accuracy. Journal of Business & Economic Statistics, 13(3): 253–263
|
| [13] |
Ding Y R , Cai Y J , Sun P D , Chen B . (2014). The use of combined neural networks and genetic algorithms for prediction of river water quality. Journal of Applied Research and Technology, 12(3): 493–499
|
| [14] |
Dragomiretskiy K , Zosso D . (2014). Variational mode decomposition. IEEE Transactions on Signal Processing, 62(3): 531–544
|
| [15] |
Ewaid S H , Abed S A , Kadhum S A . (2018). Predicting the Tigris River water quality within Baghdad, Iraq by using water quality index and regression analysis. Environmental Technology & Innovation, 11: 390–398
|
| [16] |
Feng X B , Zhong J , Yan R , Zhou Z H , Tian L , Zhao J , Yuan Z Y . (2022). Groundwater radon precursor anomalies identification by EMD-LSTM model. Water (Basel), 14(1): 69
|
| [17] |
HamiltonD PSchladowS G (1997). Prediction of water quality in lakes and reservoirs. Part I, Model description. Ecological Modelling, 96(1–3): 1–3
|
| [18] |
Han K Y , Kim S H , Bae D H . (2001). Stochastic water quality analysis using reliability method. Journal of the American Water Resources Association, 37(3): 695–708
|
| [19] |
He M , Wu S F , Huang B B , Kang C X , Gui F L . (2022). Prediction of total nitrogen and phosphorus in surface water by deep learning method based on multi-scale feature extraction. Water (Basel), 14(10): 1643
|
| [20] |
Hochreiter S , Schmidhuber J . (1997). Long short-term memory. Neural Computation, 9(8): 1735–1780
|
| [21] |
Huang N E , Shen Z , Long S R , Wu M C , Shih H H , Zheng Q , Yen N C , Tung C C , Liu H H . (1998). The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series data analysis. Proceedings Mathematical Physical & Engineering Sciences, 454(1971): 903–995
|
| [22] |
Huang Y , Chen J , Duan Q , Feng Y , Luo R , Wang W , Liu F , Bi S , Lee J . (2022). A fast antibiotic detection method for simplified pretreatment through spectra-based machine learning. Frontiers of Environmental Science & Engineering, 16(3): 38
|
| [23] |
Ji Z , Wang Z , Deng X , Huang W , Wu T . (2019). A new parallel algorithm to solve one classic water resources optimal allocation problem based on inspired computational model. Desalination and Water Treatment, 160: 214–218
|
| [24] |
Jiang Y . (2015). China’s water security: current status, emerging challenges and future prospect. Environmental Science and Pollution Research International, 54: 106–125
|
| [25] |
Jin T , Cai S , Jiang D , Liu J . (2019). A data-driven model for real-time water quality prediction and early warning by an intergration method. Environmental Science and Pollution Research International, 26(29): 30374–30385
|
| [26] |
Kim J , Lee T , Seo D . (2017). Algal bloom prediction of the lower Han River, Korea using the EFDC hydrodynamic and water quality model. Ecological Modelling, 366: 27–36
|
| [27] |
Lan Y X . (2021). Grasshopper optimization algorithm based on chaos and cauchy mutation and feature selection. Microelectronics & Computer, 38(11): 21–30
|
| [28] |
Leong W C , Bahadori A , Zhang J , Ahmad Z . (2021). Prediction of water quality index (WQI) using support vector machine (SVM) and least square-support vector machine (LS-SVM). International Journal of River Basin Management, 19(2): 149–156
|
| [29] |
Li X , Sha J , Wang Z L . (2017). A comparative study of multiple linear regression, artificial neural network and support vector machine for the prediction of dissolved oxygen. Nordic Hydrology, 48(5): 1214–1225
|
| [30] |
Li Z , Peng F , Niu B , Li G , Wu J , Miao Z . (2018). Water quality prediction model combining sparse auto-encoder and LSTM network. IFAC-PapersOnLine, 51(17): 831–836
|
| [31] |
Liu Y , Zhang Q , Song L , Chen Y . (2019). Attention-based recurrent neural networks for accurate short-term and long-term dissolved oxygen prediction. Computers and Electronics in Agriculture, 165: 104964
|
| [32] |
Mohammed H , Tornyeviadzi H M , Seidu R . (2021). Modelling the impact of weather parameters on the microbial quality of water in distribution systems. Journal of Environmental Management, 284(1): 111997
|
| [33] |
Najafzadeh M , Niazmardi S . (2021). A novel multiple-kernel support vector regression algorithm for estimation of water quality parameters. Natural Resources Research, 30(5): 3761–3775
|
| [34] |
Oki T , Kanae S . (2006). Global hydrological cycles and world water resources. Science, 313(5790): 1068–1072
|
| [35] |
Rajaee T , Khani S , Ravansalar M . (2020). Artificial intelligence-based single and hybrid models for prediction of water quality in rivers: a review. Chemometrics and Intelligent Laboratory Systems, 200: 103978
|
| [36] |
Saremi S , Mirjalili S , Lewis A . (2017). Grasshopper optimization algorithm: theory and application. Advances in Engineering Software, 105: 30–47
|
| [37] |
Seo D , Kim M , Ahn J H . (2012). Prediction of chlorophyll-a changes due to weir constructions in the Nakdong River using EFDC-WASP modelling. Environmental Engineering Research, 17(2): 95–102
|
| [38] |
Toro D M D , Fitzpatrick J J , Thomann R V . (1983). Documentation for water quality analysis simulation program (WASP) and model verification program (MVP). Proceedings of the Society for Photo-Instrumentation Engineers, 34(5): 4–10
|
| [39] |
Vaheddoost B , Aksoy H . (2021). Regressive-stochastic models for predicting water level in Lake Urmia. Hydrological Sciences Journal, 66(13): 1892–1906
|
| [40] |
Vörösmarty C J , McIntyre P B , Gessner M O , Dudgeon D , Prusevich A , Green P , Glidden S , Bunn S E , Sullivan C A , Liermann C R , Davies P M . (2010). Global threats to human water security and river biodiversity. Nature, 467(7315): 555–561
|
| [41] |
Wang Z , Deng A , Wang D , Wu T . (2022). A parallel algorithm to solve the multiple travelling salesmen problem based on molecular computing model. International Journal of Bio-Inspired Computation, 20(3): 160–171
|
| [42] |
Wang Z , Wu X , Wang H , Wu T . (2021). Prediction and analysis of domestic water consumption based on optimized grey and Markov model. Water Science and Technology: Water Supply, 21(7): 3887–3899
|
| [43] |
Wu J , Li Z , Zhu L , Li G , Niu B , Peng F . (2018). Optimized bp neural network for dissolved oxygen prediction. IFAC-PapersOnLine, 51(17): 596–601
|
| [44] |
Wu J , Wang Z . (2022). A hybrid model for water quality prediction based on an artificial neural network, wavelet transform, and long short-term memory. Water (Basel), 14(4): 610
|
| [45] |
Xu J , Xu M , Zhao Y X , Wang S F , Tao M H , Wang Y G . (2021). Spatial-temporal distribution and evolutionary characteristics of water environment sudden pollution incidents in China from 2006 to 2018. Science of the Total Environment, 801: 149677
|
| [46] |
Xu L , Shen J , Marinova D , Guo X , Sun F , Zhu F . (2013). Changes of public environmental awareness in response to the Taihu blue-green algae bloom incident in China. Environment, Development and Sustainability, 15(5): 1281–1302
|
| [47] |
Yao R , Guo C , Deng W , Zhao H . (2022). A novel mathematical morphology spectrum entropy based on scale-adaptive techniques. ISA Transactions, 126: 691–702
|
| [48] |
Yu R L , Zhang C . (2021). Early warning of water quality degradation: a copula-based Bayesian network model for highly efficient water quality risk assessment. Journal of Environmental Management, 292: 112749
|
| [49] |
Zhang J , Zhu Y , Zhang X , Ye M , Yang J . (2018). Developing a long short-term memory (LSTM) based model for predicting water table depth in agricultural areas. Journal of Hydrology (Amsterdam), 561: 918–929
|
| [50] |
Zhou Z , Lin C , Li S , Liu S , Li F , Yuan B . (2022). Four kinds of capping materials for controlling phosphorus and nitrogen release from contaminated sediment using a static simulation experiment. Frontiers of Environmental Science & Engineering, 16(3): 29
|
| [51] |
Zhu Z , Oberg N , Morales V M , Quijano J C , Landry B J , Garcia M H . (2016). Integrated urban hydrologic and hydraulic modelling in Chicago, Illinois. Environmental Modelling & Software, 77: 63–70
|
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