Wavelet-Based Hydrological Time Series Forecasting
Publication: Journal of Hydrologic Engineering
Volume 21, Issue 5
Abstract
These days wavelet analysis is becoming popular for hydrological time series simulation and forecasting. There are, however, a set of key issues influencing the wavelet-aided data preprocessing and modeling practice that need further discussion. This article discusses four key issues related to wavelet analysis: discrepant use of continuous and discrete wavelet methods, choice of mother wavelet, choice of temporal scale, and uncertainty evaluation in wavelet-aided forecasting. The article concludes with a personal reflection on solving the four issues for improving and supplementing relevant wavelet studies, especially wavelet-based artificial intelligence modeling.
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Acknowledgments
The authors gratefully acknowledged the most appropriate comments and suggestions given by the editors and the anonymous reviewers. The author also thanks Ms. Feifei Liu for her assistance in the preparation of the manuscript. This project was financially supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (XDB03030202); the National Natural Science Foundation of China (41330529, 41201036); the Program for the “Bingwei” Excellent Talents from the Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences; the Chinese Academy of Sciences Pioneer Hundred Talents Program; and the Opening Fund of the State Key Laboratory of Desert and Oasis Ecology, Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences.
References
Adamowski, J., and Sun, K. (2010). “Development of a coupled wavelet transform and neural network method for flow forecasting of non-perennial rivers in semi-arid watersheds.” J. Hydrol., 390(1–2), 85–91.
Belayneh, A., Adamowski, J., Khalil, B., and Ozga-Zielinski, B. (2014). “Long-term SPI drought forecasting in the Awash River basin in Ethiopia using wavelet neural network and wavelet support vector regression models.” J. Hydrol., 508, 418–429.
de Artigas, M. Z., Elias, A. G., and de Campra, P. F. (2006). “Discrete wavelet analysis to assess long term trends in geomagnetic activity.” Phys. Chem. Earth., 31(1–3), 77–80.
Donoho, D. H. (1995). “De-noising by soft-thresholding.” IEEE T. Inform. Theory, 41(3), 613–627.
Kisi, O. (2009). “Wavelet regression model as an alternative to neural networks for monthly streamflow forecasting.” Hydrol. Process., 23(25), 3583–3597.
Krzysztofowicz, R. (2001). “The case for probabilistic forecasting in hydrology.” J. Hydrol., 249(1–4), 2–9.
Labat, D. (2008). “Wavelet analysis of the annual discharge records of the world’s largest rivers.” Adv. Water Resour., 31(1), 109–117.
Maheswaran, R., and Khosa, R. (2012). “Comparative study of different wavelets for hydrologic forecasting.” Comput. Geosci., 46, 284–295.
Nalley, D., Adamowski, J., and Khalil, B. (2012). “Using discrete wavelet transforms to analyze trends in streamflow and precipitation in Quebec and Ontario (1954-2008).” J. Hydrol., 475, 204–228.
Nourani, V., Baghanam, A. H., Adamowski, J., and Kisi, O. (2014). “Applications of hybrid wavelet–artificial intelligence models in hydrology: A review.” J. Hydrol., 514, 358–377.
Nourani, V., Kisi, O., and Komasi, M. (2011). “Two hybrid artificial intelligence approaches for modelling rainfall-runoff process.” J. Hydrol., 402(1–2), 41–59.
Percival, D. B., and Walden, A. T. (2000). Wavelet methods for time series analysis, Cambridge University Press, Cambridge, U.K.
Rathinasamy, M., Adamowski, J., and Khosa, R. (2013). “Multiscale stream flow forecasting using a new Bayesian model average based ensemble multi-wavelet Volterra nonlinear method.” J. Hydrol., 507, 186–200.
Sang, Y. F. (2012). “A practical guide to discrete wavelet decomposition of hydrologic time series.” Water Resour. Manage., 26(11), 3345–3365.
Sang, Y. F. (2013). “Improved wavelet modeling framework for hydrologic time series forecasting.” Water Resour. Manage., 27(8), 2807–2821.
Sang, Y. F., Singh, V. P., Wen, J., and Liu, C. M. (2015). “Gradation of complexity and predictability of hydrological processes.” J. Geophys. Res. Atmos., 120(11), 5334–5343.
Sang, Y. F., Wang, D., Wu, J. C., Zhu, Q. P., and Wang, L. (2013). “Improved continuous wavelet analysis on the variation of hydrologic time series’ dominant period.” Hydrol. Sci. J., 58(1), 118–132.
Schaefli, B., Maraun, D., and Holschneider, M. (2007). “What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology.” Adv. Water Resour., 30(12), 2511–2525.
Shoaib, M., Shamseldin, A. Y., and Melville, B. W. (2014). “Comparative study of different wavelet based neural network models for rainfall-runoff modeling.” J. Hydrol., 515, 47–58.
Singh, R. M. (2011). “Wavelet-ANN model for flood events.” Adv. Intel. Software Comput., 131, 165–175.
Singh, V. P. (1998). Entropy-based parameter estimation in hydrology, Kluwer Academic Publishers, Boston, London.
Tiwari, M., and Adamowski, J. (2013). “Urban water demand forecasting and uncertainty assessment using ensemble wavelet-bootstrap-neural network models.” Water Resour. Res., 49(10), 6486–6507.
Tiwari, M. K., and Chatterjee, C. (2010). “Development of an accurate and reliable hourly flood forecasting model using wavelet-bootstrap-ANN (WBANN) hybrid approach.” J. Hydrol., 394(3–4), 458–470.
Torrence, C., and Compo, G. P. (1998). “A practical guide to wavelet analysis.” B. Am. Meteorol. Soc., 79(1), 61–78.
Walker, J. S. (1999). A primer on wavelets and their scientific applications, Chapman and Hall, CRC, New York.
Wang, W. S., and Ding, J. (2003). “Wavelet network model and its application to the predication of hydrology.” Nature Sci., 1(1), 67–71.
Yevjevich, V. (1972). Stochastic process in hydrology, Water Resources Publications, Littleton, CO.
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© 2016 American Society of Civil Engineers.
History
Received: Jul 15, 2015
Accepted: Nov 19, 2015
Published online: Feb 12, 2016
Published in print: May 1, 2016
Discussion open until: Jul 12, 2016
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