Technical Papers
Apr 19, 2023

Runoff Predictions in a Semiarid Watershed by Convolutional Neural Networks Improved with Metaheuristic Algorithms and Forced with Reanalysis and Climate Data

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Publication: Journal of Hydrologic Engineering
Volume 28, Issue 7

Abstract

In this research, the role of climate variability and weather change in short-term streamflows, including extreme event, was investigated in semiarid climates. The deep learning convolutional neural networks (CNN) were modified by incorporating the imperialist competitive algorithm (ICA) and the grey wolf optimizer (GWO) method to improve hourly runoff predictions at multiple scales, ranging from 100 to over 6,000  km2 in the Seybouse Basin, Algeria. The atmospheric reanalysis data set, ECMWF Reanalysis v5 (ERA5) with a 31-km resolution, climate variability indices, and in situ runoff observations were used. The most relevant atmospheric and soil moisture predictors from the reanalysis grids covering the study area were used to represent spatial variability. The prediction performance of the original CNN and modified CNN-ICA and CNN-GWO models were evaluated. The CNN-GWO model outperformed CNN-ICA and the original model in predicting runoff and improved the Nash-Sutcliffe Efficiency score up to 0.99. Results across multiple scales disclose that the models with climate indices as inputs showed higher performance than the models with only atmospheric data as inputs, especially in predicting extreme runoff values in basins with elevations above 670 m, suggesting that climate variability indices need to be considered in flood predictions and infrastructure design in mountainous areas with increasing climate change uncertainties.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. The sea surface temperature data were obtained from https://www.cpc.ncep.noaa.gov/data/indices/sstoi.indices.

References

Adnan, R. M., A. Jaafari, A. Mohanavelu, O. Kisi, and A. Elbeltagi. 2021a. “Novel ensemble forecasting of streamflow using locally weighted learning algorithm.” Sustainability 13 (11): 5877. https://doi.org/10.3390/su13115877.
Adnan, R. M., Z. Liang, K. S. Parmar, K. Soni, and O. Kisi. 2021b. “Modeling monthly streamflow in mountainous basin by MARS, GMDH-NN and DENFIS using hydroclimatic data.” Neural Comput. Appl. 33 (7): 2853–2871. https://doi.org/10.1007/s00521-020-05164-3.
Adnan, R. M., A. Petroselli, S. Heddam, C. A. G. Santos, and O. Kisi. 2021c. “Comparison of different methodologies for rainfall–runoff modeling: Machine learning vs conceptual approach.” Nat. Hazard. 105 (3): 2987–3011. https://doi.org/10.1007/s11069-020-04438-2.
Alizadeh, B., A. Ghaderi Bafti, H. Kamangir, Y. Zhang, D. B. Wright, and K. J. Franz. 2021. “A novel attention-based LSTM cell post-processor coupled with bayesian optimization for streamflow prediction.” J. Hydrol. 601 (Oct): 126526. https://doi.org/10.1016/j.jhydrol.2021.126526.
Aoulmi, Y., N. Marouf, and M. Amireche. 2020. “The assessment of artificial neural network rainfall-runoff models under different input meteorological parameters case study: Seybouse basin, Northeast Algeria.” J. Water Land Dev. 50 (VI–IX): 38–47. https://doi.org/10.24425/JWLD.2021.138158.
Aoulmi, Y., N. Marouf, M. Amireche, O. Kisi, R. M. Shubair, and B. Keshtegar. 2021. “Highly accurate prediction model for daily runoff in semi-arid basin exploiting metaheuristic learning algorithms.” IEEE Access 9 (Jun): 92500–92515. https://doi.org/10.1109/ACCESS.2021.3092074.
Aqil, M., I. Kita, A. Yano, and S. Nishiyama. 2007. “A comparative study of artificial neural networks and neuro-fuzzy in continuous modeling of the daily and hourly behaviour of runoff.” J. Hydrol. 337 (1–2): 22–34. https://doi.org/10.1016/j.jhydrol.2007.01.013.
Atashpaz-Gargari, E., and C. Lucas. 2007. “Imperialist competitive algorithm: An algorithm for optimization inspired by imperialistic competition.” In Proc., IEEE Congress on Evolutionary Computation, 4661–4667. New York: IEEE. https://doi.org/10.1109/CEC.2007.4425083.
Ateeq-ur-Rauf, A. R. Ghumman, S. Ahmad, and N. H. Hashim. 2018. “Performance assessment of artificial neural networks and support vector regression models for stream flow predictions.” Environ. Monit. Assess. 190 (12): 704. https://doi.org/10.1007/s10661-018-7012-9.
Banadkooki, F. B., M. Ehteram, A. N. Ahmed, C. M. Fai, H. A. Afan, W. M. Ridwam, A. Sefelnasr, and A. El-Shafie. 2019. “Precipitation forecasting using multilayer neural network and support vector machine optimization based on flow regime algorithm taking into account uncertainties of soft computing models.” Sustainability 11 (23): 6681. https://doi.org/10.3390/su11236681.
Barkhoda, W., and H. Sheikhi. 2020. “Immigrant imperialist competitive algorithm to solve the multi-constraint node placement problem in target-based wireless sensor networks.” Ad Hoc Networks 106 (Sep): 102183. https://doi.org/10.1016/j.adhoc.2020.102183.
Benzineb, K., and M. Remaoun. 2018. “Daily rainfall-runoff modelling by neural networks in semi-arid zone: Case of Wadi Ouahrane’s basin.” J. Fundam. Appl. Sci. 8 (3): 956. https://doi.org/10.4314/jfas.v8i3.17.
Berredjem, A.-F., and A. Hani. 2017. “Modelling current and future supply and water demand in the northern region of the Seybouse Valley.” J. Water Land Dev. 33 (1): 31–38. https://doi.org/10.1515/jwld-2017-0016.
Danandeh Mehr, A., V. Nourani, V. Karimi Khosrowshahi, and M. A. Ghorbani. 2019. “A hybrid support vector regression–firefly model for monthly rainfall forecasting.” Int. J. Environ. Sci. Technol. 16 (1):335–346. https://doi.org/10.1007/s13762-018-1674-2.
Darbandi, S., and F. A. Pourhosseini. 2018. “River flow simulation using a multilayer perceptron-firefly algorithm model.” Appl. Water Sci. 8 (3): 85. https://doi.org/10.1007/s13201-018-0713-y.
Forghanparast, F., and G. Mohammadi. 2022. “Using deep learning algorithms for intermittent streamflow prediction in the headwaters of the Colorado River, Texas.” Water 14 (19): 2972. https://doi.org/10.3390/w14192972.
Fu, M., T. Fan, Z. Ding, S. Q. Salih, N. Al-Ansari, and Z. M. Yaseen. 2020. “Deep learning data-intelligence model based on adjusted forecasting window scale: Application in daily streamflow simulation.” IEEE Access 8 (Feb): 32632–32651. https://doi.org/10.1109/ACCESS.2020.2974406.
Gholamy, A., V. Kreinovich, and O. Kosheleva. 2018. Why 70/30 or 80/20 relation between training and testing sets: A pedagogical explanation 7. Austin, TX: Univ. of Texas.
Gu, H., Y. Wang, S. Hong, and G. Gui. 2019. “Blind channel identification aided generalized automatic modulation recognition based on deep learning.” IEEE Access 7 (Aug): 110722–110729. https://doi.org/10.1109/ACCESS.2019.2934354.
Hameed, I. A., R. T. Bye, and O. L. Osen. 2016. “Grey wolf optimizer (GWO) for automated offshore crane design.” In Proc., IEEE Symp. Series on Computational Intelligence (SSCI), 1–6. New York: IEEE. https://doi.org/10.1109/SSCI.2016.7849998.
Hoseinzade, E., and S. Haratizadeh. 2019. “CNNpred: CNN-based stock market prediction using a diverse set of variables.” Expert Syst. Appl. 129 (Sep): 273–285. https://doi.org/10.1016/j.eswa.2019.03.029.
Jahandideh-Tehrani, M., G. Jenkins, and F. Helfer. 2021. “A comparison of particle swarm optimization and genetic algorithm for daily rainfall-runoff modelling: A case study for Southeast Queensland, Australia.” Optim. Eng. 22 (1): 29–50. https://doi.org/10.1007/s11081-020-09538-3.
Jaiswal, R. K., S. Ali, and B. Bharti. 2020. “Comparative evaluation of conceptual and physical rainfall–runoff models.” Appl. Water Sci. 10 (1): 48. https://doi.org/10.1007/s13201-019-1122-6.
Khosravi, K., M. Panahi, A. Golkarian, S. D. Keesstra, P. M. Saco, D. T. Bui, and S. Lee. 2020. “Convolutional neural network approach for spatial prediction of flood hazard at national scale of Iran.” J. Hydrol. 591 (Dec): 125552. https://doi.org/10.1016/j.jhydrol.2020.125552.
Kumar, S., T. Roshni, and D. Himayoun. 2019. “A comparison of emotional neural network (ENN) and artificial neural network (ANN) approach for rainfall-runoff modeling.” Civ. Eng. J. 5 (10): 2120–2130. https://doi.org/10.28991/cej-2019-03091398.
Kwon, M., H.-H. Kwon, and D. Han. 2020. “A hybrid approach combining conceptual hydrological models, support vector machines and remote sensing data for rainfall-runoff modeling.” Remote Sens. 12 (11): 1801. https://doi.org/10.3390/rs12111801.
LeCun, Y., and Y. Bengio. 1995. “Convolutional neural network for images, speech and time series.” In The handbook of brain theory and neural networks. Murray Hill, NJ: AT&T Bell Laboratories.
Li, P., J. Zhang, and P. Krebs. 2022. “Prediction of flow based on a CNN-LSTM combined deep learning approach.” Water 14 (6): 993. https://doi.org/10.3390/w14060993.
Li, Z., L. Kang, L. Zhou, and M. Zhu. 2021. “Deep learning framework with time series analysis methods for runoff prediction.” Water 13 (4): 575. https://doi.org/10.3390/w13040575.
Liu, D., W. Jiang, L. Mu, and S. Wang. 2020. “Streamflow prediction using deep learning neural network: Case study of Yangtze River.” IEEE Access 8 (May): 90069–90086. https://doi.org/10.1109/ACCESS.2020.2993874.
Liu, Z., Q. Li, J. Zhou, W. Jiao, and X. Wang. 2021. “Runoff prediction using a novel hybrid ANFIS model based on variable screening.” Water Resour. Manage. 35 (9): 2921–2940. https://doi.org/10.1007/s11269-021-02878-4.
Louamri, A. 2013. “Le bassin-versant de la seybouse (algérie orientale): Hydrologie et amenagement des eaux 315.” Constantine 1 (Oct): 315.
Lu, H., X. Fu, C. Liu, L. Li, Y. He, and N. Li. 2017. “Cultivated land information extraction in UAV imagery based on deep convolutional neural network and transfer learning.” J. Mountain Sci. 14 (4): 731–741. https://doi.org/10.1007/s11629-016-3950-2.
Machado, F., M. Mine, E. Kaviski, and H. Fill. 2011. “Monthly rainfall–runoff modelling using artificial neural networks.” Hydrol. Sci. J. 56 (3): 349–361. https://doi.org/10.1080/02626667.2011.559949.
Malik, A., A. Kumar, Y. Tikhamarine, D. Souag-Gamane, and Ö. Kişi. 2021a. “Hybrid artificial intelligence models for predicting daily runoff.” In Advances in streamflow forecasting, 305–329. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1016/B978-0-12-820673-7.00009-3.
Malik, A., Y. Tikhamarine, S. S. Sammen, S. I. Abba, and S. Shahid. 2021b. “Prediction of meteorological drought by using hybrid support vector regression optimized with HHO versus PSO algorithms.” Environ. Sci. Pollut. Res. 28 (Aug): 39139–39158. https://doi.org/10.1007/s11356-021-13445-0.
Malik, A., Y. Tikhamarine, D. Souag-Gamane, O. Kisi, and Q. B. Pham. 2020. “Support vector regression optimized by meta-heuristic algorithms for daily streamflow prediction.” Stochastic Environ. Res. Risk Assess. 34 (11): 1755–1773. https://doi.org/10.1007/s00477-020-01874-1.
Melesse, A. M., S. Ahmad, M. E. McClain, X. Wang, and Y. H. Lim. 2011. “Suspended sediment load prediction of river systems: An artificial neural network approach.” Accessed August 3, 2022. https://www.sciencedirect.com/science/article/abs/pii/S0378377410003951?via%3Dihub.
Mirjalili, S., S. M. Mirjalili, and A. Lewis. 2014. “Grey wolf optimizer.” Adv. Eng. Software 69 (Mar): 46–61. https://doi.org/10.1016/j.advengsoft.2013.12.007.
Mohd Ibrahim, A. 2019. “Rainfall-runoff model based on ANN with LM, BR and PSO as learning algorithms.” Int. J. Recent Technol. Eng. 8 (3): 971–979. https://doi.org/10.35940/ijrte.C4115.098319.
Nash, J. E., and I. V. Sutcliffe. 1970. “River flow forecasting through conceptual models part I—A discussion of principless.” J. Hydrol. 10 (3): 282–290. https://doi.org/10.1016/0022-1694(70)90255-6.
Ngo, P. T. T., M. Panahi, K. Khosravi, O. Ghorbanzadeh, N. Kariminejad, A. Cerda, and S. Lee. 2021. “Evaluation of deep learning algorithms for national scale landslide susceptibility mapping of Iran.” Geosci. Front. 12 (2): 505–519. https://doi.org/10.1016/j.gsf.2020.06.013.
Nur Adli Zakaria, M., M. Abdul Malek, M. Zolkepli, and A. Najah Ahmed. 2021. “Application of artificial intelligence algorithms for hourly river level forecast: A case study of Muda River, Malaysia.” Alexandria Eng. J. 60 (4): 4015–4028. https://doi.org/10.1016/j.aej.2021.02.046.
Panahi, M., K. Khosravi, S. Ahmad, S. Panahi, S. Heddam, A. M. Melesse, E. Omidvar, and C.-W. Lee. 2021. “Cumulative infiltration and infiltration rate prediction using optimized deep learning algorithms: A study in Western Iran.” J. Hydrol. Reg. Stud. 35 (Jun): 100825. https://doi.org/10.1016/j.ejrh.2021.100825.
Raihan, F., L. J. Beaumont, J. Maina, A. Saiful Islam, and S. P. Harrison. 2020. “Simulating streamflow in the Upper Halda Basin of southeastern Bangladesh using SWAT model.” Hydrol. Sci. J. 65 (1): 138–151. https://doi.org/10.1080/02626667.2019.1682149.
Rajurkar, M. P., U. C. Kothyari, and U. C. Chaube. 2002. “Artificial neural networks for daily rainfall—Runoff modeling.” Hydrol. Sci. J. 47 (6): 865–877. https://doi.org/10.1080/02626660209492996.
Rasouli, K., W. W. Hsieh, and A. J. Cannon. 2012. “Daily streamflow forecasting by machine learning methods with weather and climate inputs.” J. Hydrol. 414–415 (Aug): 284–293. https://doi.org/10.1016/j.jhydrol.2011.10.039.
Remesan, R., R. Remesan, M. Bray, and J. Mathew. 2018. “Application of PCA and clustering methods in input selection of hybrid runoff models.” J. Environ. Inf. 31 (2): 137–152. https://doi.org/10.3808/jei.201700378.
Roy, B., M. P. Singh, and A. Singh. 2021. “A novel approach for rainfall-runoff modelling using a biogeography-based optimization technique.” Int. J. River Basin Manage. 19 (1): 67–80. https://doi.org/10.1080/15715124.2019.1628035.
Ruiming, F. 2019. “Wavelet based relevance vector machine model for monthly runoff prediction.” Water Qual. Res. J. 54 (2): 134–141. https://doi.org/10.2166/wcc.2018.196.
Samantaray, S., and D. K. Ghose. 2020. “Modelling runoff in an arid watershed through integrated support vector machine.” H2Open J. 3 (1): 256–275. https://doi.org/10.2166/h2oj.2020.005.
Shortridge, J. E., S. D. Guikema, and B. F. Zaitchik. 2016. “Machine learning methods for empirical streamflow simulation: A comparison of model accuracy, interpretability, and uncertainty in seasonal watersheds.” Hydrol. Earth Syst. Sci. 20 (7): 2611–2628. https://doi.org/10.5194/hess-20-2611-2016.
Shukla, S. K., E. Koley, and S. Ghosh. 2020. “Grey wolf optimization-tuned convolutional neural network for transmission line protection with immunity against symmetrical and asymmetrical power swing.” Neural Comput. Appl. 32 (22): 17059–17076. https://doi.org/10.1007/s00521-020-04938-z.
Singh, A. K., et al. 2022. “An integrated statistical-machine learning approach for runoff prediction.” Sustainability 14 (13): 8209. https://doi.org/10.3390/su14138209.
Srinivasulu, S., and A. Jain. 2006. “A comparative analysis of training methods for artificial neural network rainfall–runoff models.” Appl. Soft Comput. 6 (3): 295–306. https://doi.org/10.1016/j.asoc.2005.02.002.
Thai Pham, B., A. Shirzadi, H. Shahabi, E. Omidvar, S. K. Singh, M. Sahana, D. Talebpour Asl, B. Bin Ahmad, N. Kim Quoc, and S. Lee. 2019. “Landslide susceptibility assessment by novel hybrid machine learning algorithms.” Sustainability 11 (16): 4386.
Tien Bui, D., et al. 2018. “New hybrids of ANFIS with several optimization algorithms for flood susceptibility modeling.” Water 10 (9): 1210. https://doi.org/10.3390/w10091210.
Tikhamarine, Y., D. Souag-Gamane, A. N. Ahmed, S. Sh. Sammen, O. Kisi, Y. F. Huang, and A. El-Shafie. 2020a. “Rainfall-runoff modelling using improved machine learning methods: Harris hawks optimizer vs. particle swarm optimization.” J. Hydrol. 589 (Oct): 125133. https://doi.org/10.1016/j.jhydrol.2020.125133.
Tikhamarine, Y., D. Souag-Gamane, A. Najah Ahmed, O. Kisi, and A. El-Shafie. 2020b. “Improving artificial intelligence models accuracy for monthly streamflow forecasting using grey Wolf optimization (GWO) algorithm.” J. Hydrol. 582 (Mar): 124435. https://doi.org/10.1016/j.jhydrol.2019.124435.
Van, S. P., H. M. Le, D. V. Thanh, T. D. Dang, H. H. Loc, and D. T. Anh. 2020. “Deep learning convolutional neural network in rainfall–runoff modeling.” J. Hydroinf. 22 (3): 541–561. https://doi.org/10.2166/hydro.2020.095.
Vidyarthi, V. K., A. Jain, and S. Chourasiya. 2020. “Modeling rainfall-runoff process using artificial neural network with emphasis on parameter sensitivity.” Model. Earth Syst. Environ. 6 (4): 2177–2188. https://doi.org/10.1007/s40808-020-00833-7.
Vilanova, R. S., S. S. Zanetti, and R. A. Cecílio. 2019. “Assessing combinations of artificial neural networks input/output parameters to better simulate daily streamflow: Case of Brazilian Atlantic Rainforest watersheds.” Comput. Electron. Agric. 167 (Dec): 105080. https://doi.org/10.1016/j.compag.2019.105080.
Wang, M., M. Rezaie-Balf, S. R. Naganna, and Z. M. Yaseen. 2021. “Sourcing CHIRPS precipitation data for streamflow forecasting using intrinsic time-scale decomposition based machine learning models.” Hydrol. Sci. J. 66 (9): 1437–1456. https://doi.org/10.1080/02626667.2021.1928138.
Wang, Q., Y. Liu, Q. Yue, Y. Zheng, X. Yao, and J. Yu. 2020. “Impact of input filtering and architecture selection strategies on GRU runoff forecasting: A case study in the Wei River Basin, Shaanxi, China.” Water 12 (12): 3532. https://doi.org/10.3390/w12123532.
Willmott, C. J. 1981. “On the validation of models.” Phys. Geogr. 2 (2): 184–194. https://doi.org/10.1080/02723646.1981.10642213.
Xiang, Z., and I. Demir. 2020. “Distributed long-term hourly streamflow predictions using deep learning–A case study for State of Iowa.” Environ. Modell. Software 131 (Sep): 104761. https://doi.org/10.1016/j.envsoft.2020.104761.
Yaseen, Z. M., M. Fu, C. Wang, W. H. M. W. Mohtar, R. C. Deo, and A. El-shafie. 2018a. “Application of the hybrid artificial neural network coupled with rolling mechanism and grey model algorithms for streamflow forecasting over multiple time horizons.” Water Resour. Manage. 32 (5): 1883–1899. https://doi.org/10.1007/s11269-018-1909-5.
Yaseen, Z. M., M. I. Ghareb, I. Ebtehaj, H. Bonakdari, R. Siddique, S. Heddam, A. A. Yusif, and R. Deo. 2018b. “Rainfall pattern forecasting using novel hybrid intelligent model based ANFIS-FFA.” Water Resour. Manage. 32 (1): 105–122. https://doi.org/10.1007/s11269-017-1797-0.
Yaseen, Z. M., S. R. Naganna, Z. Sa’adi, P. Samui, M. A. Ghorbani, S. Q. Salih, and S. Shahid. 2020. “Hourly river flow forecasting: Application of emotional neural network versus multiple machine learning paradigms.” Water Resour. Manage. 34 (3): 1075–1091. https://doi.org/10.1007/s11269-020-02484-w.
Zhang, J., X. Chen, A. Khan, Y.-K. Zhang, X. Kuang, X. Liang, M. Taccari, and J. Nuttall. 2021. “Daily runoff forecasting by deep recursive neural network.” J. Hydrol. 596 (May): 126067. https://doi.org/10.1016/j.jhydrol.2021.126067.
Zheng, F., H. R. Maier, W. Wu, G. C. Dandy, H. V. Gupta, and T. Zhang. 2018. “On lack of robustness in hydrological model development due to absence of guidelines for selecting calibration and evaluation data: Demonstration for data-driven models.” Water Resour. Res. 54 (2): 1013–1030. https://doi.org/10.1002/2017WR021470.

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Journal of Hydrologic Engineering
Volume 28Issue 7July 2023

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Received: Sep 21, 2022
Accepted: Jan 9, 2023
Published online: Apr 19, 2023
Published in print: Jul 1, 2023
Discussion open until: Sep 19, 2023

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Ph.D. Researcher, Dept. of Hydraulic, Faculty of Science and Applied Sciences, Univ. of Larbi Ben M’Hidi, P.O. Box 358, Oum El Bouaghi 04000, Algeria; Laboratory of Ecology and Environment, Univ. of Larbi Ben M’Hidi, Oum El Bouaghi 04000, Algeria (corresponding author). ORCID: https://orcid.org/0000-0002-8146-9649. Email: [email protected]
Nadir Marouf [email protected]
Professor, Dept. of Hydraulic, Faculty of Science and Applied Sciences, Univ. of Larbi Ben M’Hidi, P.O. Box 358, Oum El Bouaghi 04000, Algeria; Laboratory of Ecology and Environment, Univ. of Larbi Ben M’Hidi, Oum El Bouaghi 04000, Algeria. Email: [email protected]
Research Associate, Dept. of Geography, Univ. of British Columbia, Vancouver, BC, Canada V6T 1Z4. ORCID: https://orcid.org/0000-0002-8176-2132. Email: [email protected]
Mahdi Panahi [email protected]
Ph.D. Researcher, Division of Science Education, College of Education, Kangwon National Univ., # 4-301, Gangwondaehak-gil, Chuncheon-si, Gangwon-do 24341, South Korea. Email: [email protected]

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