Abstract
Establishing a stage–discharge rating curve in an irrigation canal might look outdated, but it is still an important issue of agricultural water management. Therefore, in this study, a method by using machine learning (neural network) to establish a stage–discharge rating curve is proposed. The machine learning trained by the observed gage height was used to estimate velocities in an irrigation canal. The estimated velocities were used to compute the discharge. Then, the observed gage height and estimated discharge are applied to establish a simple stage–discharge rating curve. The data collected in the Wan-Dan Canal are used to evaluate the proposed method. The results showed that machine learning could effectively simulate the velocity distribution in an irrigation canal from its bottom to the water surface, as well as the flow fields at ungagged sites. Therefore, using the velocity derived from machine learning, the discharge of an irrigation canal can be accurately determined. Meanwhile, an accurate and dependable stage–discharge rating curve can be established. Our proposed method is applicable to forecast the discharges of other irrigation canals to manage agricultural water effectively.
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References
Ali Z, Hussain I, Faisal M, Nazir HM, Hussain J, Shad MY, Shoukry AM, Gani SH (2017) Forecasting drought using multilayer perceptron artificial neural network model. Adv Meteorol 2017:5681308
Chang FJ, Chen YC (2003) Estuary water-stage forecasting by using radial basis function neural network. J Hydrol 270(1–2):158–166
Chen YC, Chiu CL (2002) An efficient method of discharge measurement in tidal streams. J Hydrol 265(1–4):212–224
Chen YC, Chiu CL (2004) A fast method of flood discharge estimation. Hydrol Process 18(9):1671–1684
Chen FW, Liu CW (2020) Assessing the applicability of flow measurement by using non-contact observation methods in open channels. Environ Monit Assess 192(5):1–18
Chiu CL (1989) Velocity distribution in open channel flow. J Hydraul Eng 115(5):576–594
Chiu CL (1988) Entropy and 2-D velocity distribution in open channels. J Hydraul Eng 114(7):738–756
Chong HY, Yap HJ, Tan SC, Yap KS, Wong SY (2021) Advances of metaheuristic algorithms in training neural networks for industrial applications. Soft Comput 25(16):11209–11233
Chow VT (1973) Open-Channel Hydraulics. McGraw-Hill, Singapore
Everitt BS, Landau S, Leese M, Stahl D (2011) Cluster Analysis. Wiley, West Sussex, UK
Figuérez JA, González J, Galán Á (2021) Accurate Open Channel Flowrate Estimation Using 2D RANS Modelization and ADCP Measurements. Water 13(13):1772
Giannopoulos A, Aider JL (2020) Data-driven order reduction and velocity field reconstruction using neural networks: The case of a turbulent boundary layer. Phys Fluids 32(9):095117
Gleason CJ, Smith LC (2014) Toward global mapping of river discharge using satellite images and at-many-stations hydraulic geometry. Proc Natl Acad Sci 111(13):4788–4791
Greco M (2016) Entropy-based approach for rating curve assessment in rough and smooth irrigation ditches. J Irrig Drain Eng 142(3):04015062
Hardy RL (1971) Multiquadratic equations of topography and other irregular surface. J Geophys Res 76:1905–1915
Herschy RW (2009) Streamflow Measurement. Routledge, New York
Huang SH, Chang TC, Chien HC, Wang ZS, Chang YC, Wang YL, Hsi HC (2021) Comprehending the Causes of Presence of Copper and Common Heavy Metals in Sediments of Irrigation Canals in Taiwan. Minerals 11(4):416
Jafarzadegan M, Safi-Esfahani F, Beheshti Z (2019) Combining hierarchical clustering approaches using the PCA method. Expert Syst Appl 137:1–10
Jia W, Zhao D, Ding L (2016) An optimized RBF neural network algorithm based on partial least squares and genetic algorithm for classification of small sample. Appl Soft Comput 48:373–384
Kim SE, Shin J, Seo IW, Lyu S (2016) Development of stage-discharge rating curve using hydraulic performance graph model. Procedia Engineering 154:334–339
Li X, Maier HR, Zecchin AC (2015) Improved PMI-based input variable selection approach for artificial neural network and other data driven environmental and water resource models. Environ Model Softw 65:15–29
Liu Y, Zhao M (2022) An obsolescence forecasting method based on improved radial basis function neural network. Ain Shams Engineering Journal 13(6):101775
Lohrmann A, Cabrera R, Krans NC (1994) Acoustic-Doppler Velocimeter (ADV) for laboratory use. In: Pugh CA (ed) Fundamentals and advancements in hydraulic measurements and experimentation. ASCE, New York
Nabipour M, Nayyeri P, Jabani H, Shahab S, Mosavi A (2020) Predicting stock market trends using machine learning and deep learning algorithms via continuous and binary data; a comparative analysis. IEEE Access 8:150199–150212
Mansanarez V, Westerberg IK, Lam N, Lyon SW (2019) Rapid Stage-Discharge Rating Curve Assessment Using Hydraulic Modeling in an Uncertainty Framework. Water Resour Res 55(11):9765–9787
Moges E, Demissie Y, Larsen L, Yassin F (2020) Review: Sources of hydrological model uncertainties and advances in their analysis. Water 13(1):28
Momoh JA (2015) Adaptive stochastic optimization techniques with applications. CRC Press
Paris A, Dias de Paiva R, Santos da Silva J, Medeiros MD, Calmant S, Garambois P-A, Collischonn W, Bonnet M-P, Seyler F (2016) Stage-discharge rating curves based on satellite altimetry and modeled discharge in the Amazon basin. Water Resour Res 52(5):3787–3814
Qasem SN, Shamsuddin SM (2010) Generalization improvement of radial basis function network based on multi-objective particle swarm optimization. J Artif Intell 3(1):1–16
Rantz, S. E. (1982a). Measurement and Computation of Streamflow: Volume 1. Measurement of Stage and Discharge. Geological Survey Water-Supply Paper 2175. Washington, DC: United States Government Printing Office.
Rantz, S. E. (1982b). Measurement and computation of streamflow: volume 2. computation of discharge. Geological Survey Water-Supply Paper 2175. Washington, DC: United States Government Printing Office.
Sang, H. (2021, December). Design and implementation of college english teaching system based on ga optimized rbf neural english. in 2021 international symposium on advances in informatics, Electronics and Education (ISAIEE) (pp. 114–117). IEEE.
Sheikhpour R, Sarram MA, Rezaeian M, Sheikhpour E (2018) QSAR modelling using combined simple competitive learning networks and RBF neural networks. SAR QSAR Environ Res 29(4):257–276
Song LK, Fei CW, Bai GC, Yu LC (2017) Dynamic neural network method-based improved PSO and BR algorithms for transient probabilistic analysis of flexible mechanism. Adv Eng Inform 33:144–153
Uçar MK, Bozkurt MR, Bilgin C, Polat K (2017) Automatic detection of respiratory arrests in OSA patients using PPG and machine learning techniques. Neural Comput Appl 28(10):2931–2945
Van Dijk AI, Brakenridge GR, Kettner AJ, Beck HE, De Groeve T, Schellekens J (2016) River gauging at global scale using optical and passive microwave remote sensing. Water Resour Res 52(8):6404–6418
Vyas JK, Perumal M, Moramarco T (2021) Entropy based river discharge estimation using one‐point velocity measurement at 0.6D. Water Resour Res. https://doi.org/10.1029/2021WR029825
Yang HC, Chang FJ (2005) Modelling combined open channel flow by artificial neural networks. Hydrol Process 19(18):3747–3762
Yang HC, Chen YC (2013) Discharge estimation of the Shin-Yuan Canal using indirect method. Paddy Water Environ, 11(1):217–225
Zaji AH, Bonakdari H (2015) Application of artificial neural network and genetic programming models for estimating the longitudinal velocity field in open channel junctions. Flow Meas Instrum 41:81–89
Zhou M, Gao F, Chao J, Liu YX, Song H (2021) Application of radial basis functions neutral networks in spectral functions. Physical Review D 104(7):076011
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This study is based on work supported by the Pingtung Irrigation Association, Taiwan.
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HCYang and YCChen wrote and edited the main manuscript text. All authors prepared figures and tables. All authors reviewed the manuscript.
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Chen, YC., Yang, HC., Lee, SP. et al. Machine learning in establishing the stage–discharge rating curve of an irrigation canal. Paddy Water Environ 21, 181–191 (2023). https://doi.org/10.1007/s10333-022-00920-8
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DOI: https://doi.org/10.1007/s10333-022-00920-8