A hybrid Wavelet-CNN-LSTM deep learning model for short-term urban water demand forecasting

Zhengheng Pu, Jieru Yan, Lei Chen, Zhirong Li, Wenchong Tian, Tao Tao, Kunlun Xin

PDF(18086 KB)
PDF(18086 KB)
Front. Environ. Sci. Eng. ›› 2023, Vol. 17 ›› Issue (2) : 22. DOI: 10.1007/s11783-023-1622-3
RESEARCH ARTICLE
RESEARCH ARTICLE

A hybrid Wavelet-CNN-LSTM deep learning model for short-term urban water demand forecasting

Author information +
History +

Highlights

● A novel deep learning framework for short-term water demand forecasting.

● Model prediction accuracy outperforms other traditional deep learning models.

● Wavelet multi-resolution analysis automatically extracts key water demand features.

● An analysis is performed to explain the improved mechanism of the proposed method.

Abstract

Short-term water demand forecasting provides guidance on real-time water allocation in the water supply network, which help water utilities reduce energy cost and avoid potential accidents. Although a variety of methods have been proposed to improve forecast accuracy, it is still difficult for statistical models to learn the periodic patterns due to the chaotic nature of the water demand data with high temporal resolution. To overcome this issue from the perspective of improving data predictability, we proposed a hybrid Wavelet-CNN-LSTM model, that combines time-frequency decomposition characteristics of Wavelet Multi-Resolution Analysis (MRA) and implement it into an advanced deep learning model, CNN-LSTM. Four models - ANN, Conv1D, LSTM, GRUN - are used to compare with Wavelet-CNN-LSTM, and the results show that Wavelet-CNN-LSTM outperforms the other models both in single-step and multi-steps prediction. Besides, further mechanistic analysis revealed that MRA produce significant effect on improving model accuracy.

Graphical abstract

Keywords

Short-term water demand forecasting / Long-short term memory neural network / Convolutional Neural Network / Wavelet multi-resolution analysis / Data-driven models

Cite this article

Download citation ▾
Zhengheng Pu, Jieru Yan, Lei Chen, Zhirong Li, Wenchong Tian, Tao Tao, Kunlun Xin. A hybrid Wavelet-CNN-LSTM deep learning model for short-term urban water demand forecasting. Front. Environ. Sci. Eng., 2023, 17(2): 22 https://doi.org/10.1007/s11783-023-1622-3

References

[1]
AdamowskiJ F. (2008). Peak daily water demand forecast modeling using artificial neural networks. Journal of Water Resources Planning and Management, 134( 2): 119– 128
CrossRef Google scholar
[2]
AmariS I, WuS. (1999). Improving support vector machine classifiers by modifying kernel functions. Neural networks: the official journal of the International Neural Network Society or Neural Netw, 12( 6): 783– 789
CrossRef Pubmed Google scholar
[3]
BediJ, ToshniwalD. (2019). Deep learning framework to forecast electricity demand. Applied Energy, 238 : 1312– 1326
CrossRef Google scholar
[4]
BillingsR B, JonesC V ( 2011). Forecasting Urban Water Demand. Washington, DC: America Water Works Association
[5]
BoggessA, NarcowichF J. (2015). A first course in wavelets with Fourier analysis. 2nd ed. John Wiley & Sons, 183– 217
[6]
BougadisJ, AdamowskiK, DiduchR. (2005). Short-term municipal water demand forecasting. Hydrological Processes, 19( 1): 137– 148
CrossRef Google scholar
[7]
BouvrieJ. (2006). Notes on convolutional neural networks. Bracewell R N (1989). The Fourier transform. Scientific American, 260( 6): 86– 95
CrossRef Pubmed Google scholar
[8]
CandelieriA, GiordaniI, ArchettiF, BarkalovK, MeyerovI, PolovinkinA, SysoyevA, ZolotykhN. (2019). Tuning hyperparameters of a SVM-based water demand forecasting system through parallel global optimization. Computers & Operations Research, 106 : 202– 209
CrossRef Google scholar
[9]
CaoJ, WangJ. (2019). Stock price forecasting model based on modified convolution neural network and financial time series analysis. International Journal of Communication Systems, 32( 12): e3987
CrossRef Google scholar
[10]
ChenG, LongT, XiongJ, BaiY. (2017). Multiple random forests modelling for urban water consumption forecasting. Water Resources Management, 31( 15): 4715– 4729
CrossRef Google scholar
[11]
ChenJ, BoccelliD. (2014). Demand forecasting for water distribution systems. Procedia Engineering, 70 : 339– 342
CrossRef Google scholar
[12]
ChengJ, LiuY, MaY. (2020). Protein secondary structure prediction based on integration of CNN and LSTM model. Journal of Visual Communication and Image Representation, 71 : 102844
CrossRef Google scholar
[13]
Dara S Tumma P ( 2018) . Feature extraction by using deep learning: a survey. In: Second International Conference on Electronics 2018, Communication and Aerospace Technology (ICECA), IEEE, Coimbatore, RVS Technical Campus, Coimbatore, India, 1795– 1801
[14]
DuerrI, MerrillH R, WangC, BaiR, BoyerM, DukesM D, BliznyukN. (2018). Forecasting urban household water demand with statistical and machine learning methods using large space-time data: a comparative study. Environmental Modelling & Software, 102 : 29– 38
CrossRef Google scholar
[15]
FiratM TuranM E YurdusevM A (2010). Comparative analysis of neural network techniques for predicting water consumption time series. Journal of Hydrology (Amsterdam), 384(1-2): 46– 51
[16]
GhiassiM, ZimbraD K, SaidaneH. (2008). Urban water demand forecasting with a dynamic artificial neural network model. Journal of Water Resources Planning and Management, 134( 2): 138– 146
CrossRef Google scholar
[17]
GoodchildC. (2003). Modelling the impact of climate change on domestic water demand. Water and Environment Journal: the Journal/the Chartered Institution of Water and Environmental Management, 17( 1): 8– 12
CrossRef Google scholar
[18]
GuoG, LiuS, WuY, LiJ, ZhouR, ZhuX. (2018). Short-term water demand forecast based on deep learning method. Journal of Water Resources Planning and Management, 144( 12): 04018076
CrossRef Google scholar
[19]
HafeezG, AlimgeerK S, KhanI. (2020). Electric load forecasting based on deep learning and optimized by heuristic algorithm in smart grid. Applied Energy, 269 : 114915
CrossRef Google scholar
[20]
HerreraM, TorgoL, IzquierdoJ, P’erez-Garc’ıaR. (2010). Predictive models for forecasting hourly urban water demand. Journal of Hydrology (Amsterdam), 387( 1–2): 141– 150
CrossRef Google scholar
[21]
HochreiterS ( 1998). The vanishing gradient problem during learning recurrent neural nets and problem solutions. International Journal of Uncertainty, Fuzziness and Knowledge-based Systems, 6(2): 107– 116
[22]
HochreiterS, SchmidhuberJ. (1997). Long short-term memory. Neural Computation, 9( 8): 1735– 1780
CrossRef Pubmed Google scholar
[23]
HuP Tong J WangJ YangY de Oliveira TurciL ( 2019). A hybrid model on CNN and bi-LSTM for urban water demand prediction. In: 2019 IEEE Congress on evolutionary computation (CEC), Wellington, New Zealand, 1088– 1094
[24]
HuangC W ChiangC T LiQ ( 2017). A study of deep learning networks on mobile traffic forecasting. In: IEEE 28th annual international 2017 symposium on personal, indoor, and mobile radio communications (PIMRC), Montreal, Quebec, Canada , 1– 6
[25]
JowittP W, XuC. (1992). Demand forecasting for water distribution systems. Civil Engineering Systems, 9( 2): 105– 121
CrossRef Google scholar
[26]
KurataG, RamabhadranB, Saon G, SethyA ( 2017). Language modeling with highway lstm. In: IEEE Automatic Speech Recognition and Understanding Workshop (ASRU) 2017, Okinawa Japan, 244– 251
[27]
MaidmentD R, ParzenE. (1984). Time patterns of water use in six texas cities. Journal of Water Resources Planning and Management, 110( 1): 90– 106
CrossRef Google scholar
[28]
MuL, ZhengF, TaoR, ZhangQ, KapelanZ. (2020). Hourly and daily urban water demand predictions using a long short-term memory-based model. Journal of Water Resources Planning and Management, 146( 9): 05020017
CrossRef Google scholar
[29]
NussbaumerH J 1981 The Fast fourier transform. In: Fast Fourier Transform and Convolution Algorithms, 80– 111
[30]
OliveiraG H CavalcanteR C CabralG G MinkuL L OliveiraA L ( 2017). series forecasting in the presence of concept drift: A pso-based approach. In: IEEE 29th International Conference on Tools with Acritical Intelligence (ICTAI), Boston, USA, 239– 246
[31]
PincusS ( 1995). Approximate entropy (apen) as a complexity measure−Chaos: an interdisciplinary Journal of Nonlinear Science, 5( 1): 110– 117
[32]
Peña-GuzmánC, MelgarejoJ, PratsD. (2016). Forecasting water demand in residential, commercial, and industrial zones in Bogotá, Colombia, using least-squares support vector machines. Mathematical Problems in Engineering, 2016
[33]
SainathT N VinyalsO SeniorA SakH( 2015). Convolutional, long short-term memory fully connected deep neural networks. In: 2015 IEEE international conference on acoustics, speech and signal processing (ICASSP). IEEE, Brisbane, Queensland, Australia, 4580– 4584
[34]
SharmaS, SharmaS, AthaiyaA. (2017). Activation functions in neural net-works. Towards Data Science, 6( 12): 310– 316
[35]
SherstinskyA. (2020). Fundamentals of recurrent neural network (RNN) and long short-term memory (LSTM) network. Physica D. Nonlinear Phenomena, 404 : 132306
CrossRef Google scholar
[36]
SimonyanK ZissermanA ( 2014). Very deep convolutional networks for large-scale image recognition. arXiv preprint arXiv:14091556
[37]
SønderbyS K WintherO ( 2014). Protein secondary structure prediction with long short-term memory networks. arXiv preprint arXiv:14127828
[38]
SongX, LiuY, XueL, WangJ, ZhangJ, WangJ, JiangL, ChengZ. (2020). Time-series well performance prediction based on long short-term memory (LSTM) neural network model. Journal of Petroleum Science Engineering, 186 : 106682
CrossRef Google scholar
[39]
Sundermeyer M, Ney H, Schlüter R (2015). From feedforward to recurrent LSTM neural networks for language modeling. IEEE/ACM Transactions on Audio, Speech, and Language Processing, 23(3): 517−529
[40]
TorresJ F, FernándezA M, TroncosoA, Martínez-ÁlvarezF. (2017). Deep learning-based approach for time series forecasting with application to electricity load. In: International Work-Conference on the Interplay between Natural and Artificial Computation. Berlin: Springer, 203– 212
[41]
Ullah A, Ahmad J, Muhammad K, Sajjad M, Baik S W (2018). Action recognition in video sequences using deep bi-directional LSTM with CNN features. IEEE Access: Practical Innovations, Open Solutions, 6: 1155−1166
[42]
XenochristouM KapelanZ HuttonC HofmanJ ( 2017). Identifying relationships between weather variables and domestic water consumption using smart metering. Proceedings of the CCWI
[43]
YangJ LiJ ( 2017). Application of deep convolution neural network. In: 14th International Computer Conference on Wavelet Active Media and Technology Information Processing 2017 (ICCWAMTIP), University of Electronic Science And Technology of China, China, 229– 232
[44]
YuB Yin H ZhuZ ( 2017a). Spatio-temporal graph convolutional net- works: a deep learning framework for traffic forecasting. arXiv preprint arXiv:170904875
[45]
YuR Li Y ShahabiC DemiryurekU LiuY ( 2017b). Deep learning: A generic approach for extreme condition traffic forecasting. In: Proceedings of the 2017 SIAM international Conference on Data Mining, Houston, Texas, USA, 777– 785
[46]
Zen H ( 2015). Acoustic modeling in statistical parametric speech synthesis-from HMM to LSTM-RNN: Conference: RTTH Summer School on Speech Technology, A Deep Learning Perspective, Barcelona, Spain
[47]
ZhangG P. (2001). An investigation of neural networks for linear time-series forecasting. Computers & Operations Research, 28( 12): 1183– 1202
CrossRef Google scholar
[48]
ZhouS L, McMahonT A, WaltonA, LewisJ. (2000). Forecasting daily urban water demand: a case study of Melbourne. Journal of Hydrology (Amsterdam), 236( 3–4): 153– 164
CrossRef Google scholar

Acknowledgements

This work was financially supported by the National Natural Science Foundation of China (No. 51978494), and the Science and Technology Innovation Program Project of Shanghai City Investment Co., Ltd. (No. CTKY-ZDXM-2020-012).

Data Accessibility Statement

The data supporting the findings of this study are available within the article and its supplementary materials. The code not available due to intellectual property rights of cooperative institute restrictions.

Electronic Supplementary Material

Supplementary material is available in the online version of this article at https://doi.org/10.1007/s11783-023-1622-3 and is accessible for authorized users.

RIGHTS & PERMISSIONS

2023 Higher Education Press
AI Summary AI Mindmap
PDF(18086 KB)

Accesses

Citations

Detail

Sections
Recommended

/