Modeling of Reference Crop Evapotranspiration in Wet and Dry Climates Using Data-Mining Methods and Empirical Equations

Document Type : Regular Article

Authors

1 Graduated MSc., Department of Water Engineering and Hydraulic Structures, Faculty of Civil Engineering, Semnan University, Semnan, Iran

2 Professor, Department of Water Engineering and Hydraulic Structures, Faculty of Civil Engineering, Semnan University, Semnan, Iran

3 Associate Professor, Department of Water Engineering and Hydraulic Structures, Faculty of Civil Engineering, Semnan University, Semnan, Iran

4 Assistant Professor, Department of Water Engineering, Faculty of Agriculture, Kurdistan University, Sanandaj, Iran

Abstract

In the present study, performance of data-mining methods in modeling and estimating reference crop evapotranspiration (ETo) is investigated. To this end, different machine learning, including Artificial Neural Network (ANN), M5 tree, Multivariate Adaptive Regression Splines (MARS), Least Square Support Vector Machine (LS-SVM), and Random Forest (RF) are employed by considering different criteria including impacts of climate (eight synoptic stations in humid and dry climates), accuracy, uncertainty and computation time. Furthermore, to show the application of data-mining methods, their results are compared with some empirical equations, that indicated the superiority of data- mining methods. In the humid climate, it was demonstrated that M5 tree model is the best if only accuracy criterion is considered, and MARS is a better data-mining method by considering accuracy, uncertainty, and computation time criteria. While in the dry climate, the ANN has better results by considering accuracy and all other criteria. In the final step, for a comprehensive investigation of data-mining ability in ETo modeling, all data in humid and dry climates are combined. Results showed the highest accuracy by MARS and ANN models.

Highlights

  • New and classic data mining algorithm was employed for modeling evapotranspiration in the different climate regions.
  • Applying the valid empirical relationships of Turc, Jensen-Haies, Hargreaves-Samani and Penman-Monteith-FAO.
  • The data mining algorithms were coupled with best empirical relationship.
  • The data mining algorithms were ranked based on their accuracy and calculation time.
  • There is a high potential for modeling evapotranspiration by data mining algorithms.

Keywords

Main Subjects


[1]     Ferreira LB, França F, Oliveira RA De, Inácio E, Filho F. Estimation of reference evapotranspiration in Brazil with limited meteorological data using ANN and SVM ; a new approach. J Hydrol 2019. https://doi.org/10.1016/j.jhydrol.2019.03.028.
[2]     Wu L, Zhou H, Ma X, Fan J, Zhang F. Daily reference evapotranspiration prediction based on hybridized extreme learning machine model with bio-inspired optimization algorithms: Application in contrasting climates of China. J Hydrol 2019;577:123960. https://doi.org/10.1016/j.jhydrol.2019.123960.
[3]     Azad A, Farzin S, Kashi H, Sanikhani H, Karami H, Kisi O. Prediction of river flow using hybrid neuro-fuzzy models. Arab J Geosci 2018;11:718. https://doi.org/10.1007/s12517-018-4079-0.
[4]     Mohammadi M, Farzin S, Mousavi S-F, Karami H. Investigation of a New Hybrid Optimization Algorithm Performance in the Optimal Operation of Multi-Reservoir Benchmark Systems. Water Resour Manag 2019;33:4767–82. https://doi.org/10.1007/s11269-019-02393-7.
[5]     Valikhan-Anaraki M, Mousavi S-F, Farzin S, Karami H, Ehteram M, Kisi O, et al. Development of a Novel Hybrid Optimization Algorithm for Minimizing Irrigation Deficiencies. Sustainability 2019;11:2337. https://doi.org/10.3390/su11082337.
[6]     Karami H, Ehteram M, Mousavi S-F, Farzin S, Kisi O, El-Shafie A. Optimization of energy management and conversion in the water systems based on evolutionary algorithms. Neural Comput Appl 2019;31:5951–64. https://doi.org/10.1007/s00521-018-3412-6.
[7]     Azad A, Manoochehri M, Kashi H, Farzin S, Karami H, Nourani V, et al. Comparative evaluation of intelligent algorithms to improve adaptive neuro-fuzzy inference system performance in precipitation modelling. J Hydrol 2019;571:214–24. https://doi.org/10.1016/j.jhydrol.2019.01.062.
[8]     Azad A, Farzin S, Sanikhani H, Karami H, Kisi O, Singh VP. Approaches for Optimizing the Performance of Adaptive Neuro-Fuzzy Inference System and Least-Squares Support Vector Machine in Precipitation Modeling. J Hydrol Eng 2021;26:04021010. https://doi.org/10.1061/(ASCE)HE.1943-5584.0002069.
[9]     Farzin S, Nabizadeh Chianeh F, Valikhan Anaraki M, Mahmoudian F. Introducing a framework for modeling of drug electrochemical removal from wastewater based on data mining algorithms, scatter interpolation method, and multi criteria decision analysis (DID). J Clean Prod 2020;266:122075. https://doi.org/10.1016/j.jclepro.2020.122075.
[10]   Anaraki MV, Farzin S, Mousavi S-F, Karami H. Uncertainty Analysis of Climate Change Impacts on Flood Frequency by Using Hybrid Machine Learning Methods. Water Resour Manag 2021;35:199–223. https://doi.org/10.1007/s11269-020-02719-w.
[11]   Siahkali MZ, Ghaderi A, Bahrpeyma A, Rashki M. Estimating Pier Scour Depth : Comparison of Empirical Formulations. J AI Data Min 2021;9:109–28. https://doi.org/10.22044/jadm.2020.10085.2147.
[12]   Safaeian Hamzehkolaei N, Alizamir M. Performance evaluation of machine learning algorithms for seismic retrofit cost estimation using structural parameters. J Soft Comput Civ Eng 2021;5:32–57. https://doi.org/10.22115/SCCE.2021.284630.1312.
[13]   Traore S, Wang Y-M, Kerh T. Artificial neural network for modeling reference evapotranspiration complex process in Sudano-Sahelian zone. Agric Water Manag 2010;97:707–14. https://doi.org/10.1016/j.agwat.2010.01.002.
[14]   Rahimikhoob A, Behbahani MR, Fakheri J. An evaluation of four reference evapotranspiration models in a subtropical climate. Water Resour Manag 2012;26:2867–81.
[15]   Yassin MA, Alazba AA, Mattar MA. Artificial neural networks versus gene expression programming for estimating reference evapotranspiration in arid climate. Agric Water Manag 2016;163:110–24. https://doi.org/10.1016/j.agwat.2015.09.009.
[16]   Caminha HD, Da Silva TC, Da Rocha AR, Lima SCRV. Estimating reference evapotranspiration using data mining prediction models and feature selection. ICEIS 2017 - Proc 19th Int Conf Enterp Inf Syst 2017;1:272–9. https://doi.org/10.5220/0006327202720279.
[17]   Mehdizadeh S. Estimation of daily reference evapotranspiration (ETo) using artificial intelligence methods: Offering a new approach for lagged ETo data-based modeling. J Hydrol 2018. https://doi.org/10.1016/j.jhydrol.2018.02.060.
[18]   Ehteram M, Singh VP, Ferdowsi A, Mousavi SF, Farzin S, Karami H, et al. An improved model based on the support vector machine and cuckoo algorithm for simulating reference evapotranspiration. PLoS One 2019;14:e0217499. https://doi.org/10.1371/journal.pone.0217499.
[19]   Wang S, Lian J, Peng Y, Hu B, Chen H. Generalized reference evapotranspiration models with limited climatic data based on random forest and gene expression programming in Guangxi, China. Agric Water Manag 2019;221:220–30. https://doi.org/10.1016/j.agwat.2019.03.027.
[20]   Fan J, Ma X, Wu L, Zhang F, Yu X, Zeng W. Light Gradient Boosting Machine: An efficient soft computing model for estimating daily reference evapotranspiration with local and external meteorological data. Agric Water Manag 2019;225:105758. https://doi.org/10.1016/j.agwat.2019.105758.
[21]   Ferreira LB, da Cunha FF. New approach to estimate daily reference evapotranspiration based on hourly temperature and relative humidity using machine learning and deep learning. Agric Water Manag 2020;234:106113. https://doi.org/10.1016/j.agwat.2020.106113.
[22]   Granata F, Gargano R, de Marinis G. Artificial intelligence based approaches to evaluate actual evapotranspiration in wetlands. Sci Total Environ 2019:135653. https://doi.org/10.1016/j.scitotenv.2019.135653.
[23]   Yamaç SS, Todorovic M. Estimation of daily potato crop evapotranspiration using three different machine learning algorithms and four scenarios of available meteorological data. Agric Water Manag 2020;228:105875. https://doi.org/10.1016/j.agwat.2019.105875.
[24]   Ashrafzadeh A, Kişi O, Aghelpour P, Biazar SM, Masouleh MA. Comparative Study of Time Series Models, Support Vector Machines, and GMDH in Forecasting Long-Term Evapotranspiration Rates in Northern Iran. J Irrig Drain Eng 2020;146:04020010. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001471.
[25]   Zhang M, Su B, Nazeer M, Bilal M, Qi P, Han G. Climatic Characteristics and Modeling Evaluation of Pan Evapotranspiration over Henan Province, China. Land 2020;9:229. https://doi.org/10.3390/land9070229.
[26]   Rashid Niaghi A, Hassanijalilian O, Shiri J. Estimation of Reference Evapotranspiration Using Spatial and Temporal Machine Learning Approaches. Hydrology 2021;8:25. https://doi.org/10.3390/hydrology8010025.
[27]   Feng K, Tian J. Forecasting reference evapotranspiration using data mining and limited climatic data. Eur J Remote Sens 2021;54:363–71. https://doi.org/10.1080/22797254.2020.1801355.
[28]   Kadkhodazadeh M, Farzin S. A Novel LSSVM Model Integrated with GBO Algorithm to Assessment of Water Quality Parameters. Water Resour Manag 2021;35:3939–68. https://doi.org/10.1007/s11269-021-02913-4.
[29]   Mohaghegh A, Valikhan Anaraki M, Farzin S. Modeling of qualitative parameters (Electrical conductivity and total dissolved solids) of Karun River at Mollasani, Ahvaz and Farsiat stations using data mining methods. Iran J Heal Environ 2020;13:101–20.
[30]   Nourani V, Jabbarian Paknezhad N, Sharghi E, Khosravi A. Estimation of prediction interval in ANN-based multi-GCMs downscaling of hydro-climatologic parameters. J Hydrol 2019;579:124226. https://doi.org/10.1016/j.jhydrol.2019.124226.
[31]   Antonopoulos VZ, Antonopoulos A V. Daily reference evapotranspiration estimates by artificial neural networks technique and empirical equations using limited input climate variables. Comput Electron Agric 2017;132:86–96. https://doi.org/10.1016/j.compag.2016.11.011.
[32]   Valikhan Anaraki M, Mousavi S-F, Farzin S, Karami H. Introducing a Nonlinear Model Based on Hybrid Machine Learning for Modeling and Prediction of Precipitation and Comparison with SDSM Method (Cases Studies: Shahrekord, Barez, and Yasuj). Iran J Soil Water Res 2020;51:325–39.
[33]   Kisi O. Pan evaporation modeling using least square support vector machine, multivariate adaptive regression splines and M5 model tree. J Hydrol 2015;528:312–20. https://doi.org/10.1016/j.jhydrol.2015.06.052.
[34]   Adnan RM, Liang Z, Trajkovic S, Zounemat-Kermani M, Li B, Kisi O. Daily streamflow prediction using optimally pruned extreme learning machine. J Hydrol 2019;577:123981. https://doi.org/10.1016/j.jhydrol.2019.123981.
[35]   Kisi O, Parmar KS. Application of least square support vector machine and multivariate adaptive regression spline models in long term prediction of river water pollution. J Hydrol 2016;534:104–12. https://doi.org/10.1016/j.jhydrol.2015.12.014.
[36]   Rezaie-Balf M, Kim S, Fallah H, Alaghmand S. Daily river flow forecasting using ensemble empirical mode decomposition based heuristic regression models: Application on the perennial rivers in Iran and South Korea. J Hydrol 2019;572:470–85. https://doi.org/10.1016/j.jhydrol.2019.03.046.
[37]   Keshtegar B, Heddam S, Kisi O, Zhu SP. Modeling total dissolved gas (TDG) concentration at Columbia river basin dams: high-order response surface method (H-RSM) vs. M5Tree, LSSVM, and MARS. Arab J Geosci 2019;12. https://doi.org/10.1007/s12517-019-4687-3.
[38]   Abdulelah Z, Sudani A, Salih SQ, Yaseen ZM. Development of Multivariate Adaptive Regression Spline Integrated with Differential Evolution Model for Streamflow Simulation Computer Science Department , College of Computer Science and Information Technology , Sustainable developments in Civil Engineer. J Hydrol 2019. https://doi.org/10.1016/j.jhydrol.2019.03.004.
[39]   Zhang G, Hamzehkolaei NS, Rashnoozadeh H, Band SS, Mosavi A. Reliability assessment of compressive and splitting tensile strength prediction of roller compacted concrete pavement: introducing MARS-GOA-MCS. Int J Pavement Eng 2021:1–18. https://doi.org/10.1080/10298436.2021.1990920.
[40]   Cortes C, Vapnik V. Support vector machine. Mach Learn 1995;20:273–97.
[41]   Breiman L. Random Forests. Mach Learn 2001;45:5–32. https://doi.org/10.1023/A:1010933404324.
[42]   Forghani SJ, Pahlavan-Rad MR, Esfandiari M, Torkashvand AM. Spatial prediction of WRB soil classes in an arid floodplain using multinomial logistic regression and random forest models, south-east of Iran. Arab J Geosci 2020;13. https://doi.org/10.1007/s12517-020-05576-4.
[43]   Zhang Y, Sui B, Shen H, Ouyang L. Mapping stocks of soil total nitrogen using remote sensing data : A comparison of random forest models with di ff erent predictors. Comput Electron Agric 2019;160:23–30. https://doi.org/10.1016/j.compag.2019.03.015.
[44]   Crawford J, Venkataraman K, Booth J. Developing climate model ensembles : A comparative case study. J Hydrol 2019;568:160–73. https://doi.org/10.1016/j.jhydrol.2018.10.054.
[45]   Turc L. Water requirements assessment of irrigation, potential evapotranspiration: simplified and updated climatic formula. Ann. Agron., vol. 12, 1961, p. 13–49.
[46]   Jensen ME, Haise HR. Estimating evapotranspiration from solar radiation. Proc Am Soc Civ Eng J Irrig Drain Div 1963;89:15–41.
[47]   Ahmadi H, Baaghideh M. Assessment of anomalies and effects of climate change on reference evapotranspiration and water requirement in pistachio cultivation areas in Iran. Arab J Geosci 2020;13. https://doi.org/10.1007/s12517-020-05316-8.
[48]   Mossad A, Alazba AA. Simulation of temporal variation for reference evapotranspiration under arid climate. Arab J Geosci 2016;9. https://doi.org/10.1007/s12517-016-2482-y.
[49]   Dinpashoh Y, Babamiri O. Trends in reference crop evapotranspiration in Urmia Lake basin. Arab J Geosci 2020;13. https://doi.org/10.1007/s12517-020-05404-9.
[50]   Farrokhi A, Farzin S, Mousavi S-F. A New Framework for Evaluation of Rainfall Temporal Variability through Principal Component Analysis, Hybrid Adaptive Neuro-Fuzzy Inference System, and Innovative Trend Analysis Methodology. Water Resour Manag 2020;34:3363–85. https://doi.org/10.1007/s11269-020-02618-0.
[51]   Ghazvinian H, Karami H, Farzin S, Mousavi SF. Effect of MDF-Cover for Water Reservoir Evaporation Reduction, Experimental, and Soft Computing Approaches. J Soft Comput Civ Eng 2020;4:98–110. https://doi.org/10.22115/scce.2020.213617.1156.
[52]   Farzin S, Valikhan Anaraki M. Modeling and predicting suspended sediment load under climate change conditions: a new hybridization strategy. J Water Clim Chang 2021. https://doi.org/10.2166/wcc.2021.317.
[53]   Sanikhani H, Deo RC, Samui P, Kisi O, Mert C, Mirabbasi R. Survey of di ff erent data-intelligent modeling strategies for forecasting air temperature using geographic information as model predictors. Comput Electron Agric 2018;152:242–60. https://doi.org/10.1016/j.compag.2018.07.008.
[54]   Sattari MT, Apaydin H, Band SS, Mosavi A, Prasad R. Comparative analysis of kernel-based versus ANN and deep learning methods in monthly reference evapotranspiration estimation. Hydrol Earth Syst Sci 2021;25:603–18. https://doi.org/10.5194/hess-25-603-2021.
[55]   Sayyahi F, Farzin S, Karami H. Forecasting Daily and Monthly Reference Evapotranspiration in the Aidoghmoush Basin Using Multilayer Perceptron Coupled with Water Wave Optimization. Complexity 2021;2021:1–12. https://doi.org/10.1155/2021/6683759.
[56]   Gao L, Gong D, Cui N, Lv M, Feng Y. Evaluation of bio-inspired optimization algorithms hybrid with artificial neural network for reference crop evapotranspiration estimation. Comput Electron Agric 2021;190:106466. https://doi.org/10.1016/j.compag.2021.106466.