Abstract
The accuracy of a least square support vector machine (LSSVM) in modeling of reference evapotranspiration (ET0) was examined in this study. The daily weather data, solar radiation, air temperature, relative humidity and wind speed of two stations, Glendale and Oxnard, in southern district of California, were used as inputs to the LSSVM models to estimate ET0 obtained using the FAO-56 Penman–Monteith equation. In the first part of the study, LSSVM estimates were compared with those of the following empirical models: Priestley–Taylor, Hargreaves and Ritchie methods. The comparison results indicated that the LSSVM performed better than the empirical models. In the second part of the study, the LSSVM results were compared with those of the conventional feed-forward artificial neural networks (ANN). It was found that the LSSVM models were superior to the ANN in modeling ET0 process.




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References
Allen RG, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration guidelines for computing crop water requirements. FAO irrigation and drainage, paper no. 56, Food and Agriculture Organization of the United Nations, Rome
Brutsaert WH (1982) Evaporation into the atmosphere. D. Reidel Publishing Company, Dordrecht
Gibson JJ, Prowse TD, Edwards TWD (1994) Evaporation from a Small Lake in the continental arctic using multiple methods. Hydrol Res 27(1–2):1–24
Hargreaves GH, Samani ZA (1985) Reference crop evapotranspiration from temperature. Appl Eng In Agric 1(2):96–99
Jain SK, Nayak PC, Sudheer KP (2008) Models for estimating evapotranspiration using artificial neural networks, and their physical interpretation. Hydrol Process 22:2225–2234
Jensen ME, Burman RD, Allen RG (1990). Evapotranspiration and irrigation water requirements. ASCE manuals and reports on engineering practices no. 70, ASCE, New York, NY, 360 pp
Jones JW, Ritchie JT (1990). Crop growth models. In: Hoffman GJ, Howel TA, Solomon KH (eds) Management of farm irrigation system. ASAE monograph no. 9, ASAE, St. Joseph, Mich., pp 63–89
Karimaldini F, Shui LT, Mohamed TA, Abdollahi M, Khalili N (2012) Daily evapotranspiration modeling from limited weather data by using neuro-fuzzy computing technique. J Irrig Drain Eng 138(1):21–35
Khoob AR (2008a) Comparative study of Hargreaves’s and artificial neural network’s methodologies in estimating reference evapotranspiration in a semiarid environment. Irrig Sci 26(3):253–259
Khoob AR (2008b) Artificial neural network estimation of reference evapotranspiration from pan evaporation in a semi-arid environment. Irrig Sci 27(1):35–39
Kim S, Kim HS (2008) Neural networks and genetic algorithm approach for nonlinear evaporation and evapotranspiration modelling. J Hydrol 351:299–317
Kisi O (2006a) Evapotranspiration estimation using feed-forward neural networks. Nord Hydrol 37(3):247–260
Kisi O (2006b) Generalized regression neural networks for evapotranspiration modelling. Hydrol Sci J 51(6):1092–1105
Kisi O (2007a) Evapotranspiration modelling from climatic data using a neural computing technique. Hydrol Process 21:1925–1934
Kisi O (2007b) Streamflow forecasting using different artificial neural network algorithms. ASCE J Hydrol Eng 12(5):532–539
Kisi O (2008) The potential of different ANN techniques in evapotranspiration modelling. Hydrol Process 22:1449–2460
Kisi O (2011a) Evapotranspiration modeling using a wavelet regression model. Irrig Sci 29(3):241–252
Kisi O (2011b) Modeling reference evapotranspiration using evolutionary neural networks. ASCE J Irrig Drain Eng 137(10):636–643
Kisi O, Ozturk O (2007) Adaptive neuro-fuzzy computing technique for evapotranspiration estimation. J Irrig Drain Eng 133(4):368–379
Kisi O, Uncuoglu E (2005) Comparison of three backpropagation training algorithms for two case studies. Indian J Eng Mater Sci 12:443–450
Kisi O, Yildirim G (2005a) Discussion of ‘estimating actual evapotranspiration from limited climatic data using neural computing technique’ by K.P. Sudheer; A.K. Gosain; and K.S. Ramasastri. J Irrig Drain Eng 131(2):219–220
Kisi O, Yildirim G (2005b) Discussion of ‘forecasting of reference evapotranspiration by artificial neural networks’ by S. Trajkovic; B. Todorovic; and M. Stankovic. J Irrig Drain Eng 131(4):390–391
Kumar M, Kar IN (2009) Non-linear HVAC computations using least square support vector machines. Energy Convers Manage 50:1411–1418
Kumar M, Raghuwanshi NS, Singh R, Wallender WW, Pruitt WO (2002) Estimating evapotranspiration using artificial neural network. J Irrig Drain Eng 128(4):224–233
Kumar M, Bandyopadhyay A, Rahguwanshi NS, Singh R (2008) Comparative study of conventional and artificial neural network-based ETo estimation models. Irrig Sci 26(6):531–545
Kumar M, Raghuwanshi NS, Singh R (2009) Development and validation of GANN model for evapotranspiration estimation. J Hydrol Eng 14(2):131–140
Kumar M, Raghuwanshi NS, Singh R (2011) Artificial neural networks approach in evapotranspiration modeling: a review. Irrig Sci 29:11–25
Landeras G, Ortiz-Barredo A, Lopez JJ (2009) Forecasting weekly evapotranspiration with ARIMA and artificial neural network models. J Irrig Drain Eng 135(3):323–334
Marti P, Manzano J, Royuela A (2011a) Assessment of a 4-input artificial neural network for ETo estimation through data set scanning procedures. Irrig Sci 29:181–195
Marti P, Gonzalez-Altozano P, Gasque M (2011b) Reference evapotranspiration estimation without local climatic data. Irrig Sci 29:479–495
Naoum S, Tsanis IK (2003) Hydroinformatics in evapotranspiration estimation. Environ Modell Softw 18:261–271
Priestley CHB, Taylor RJ (1972) On the assessment of surface heat flux and evaporation using large-scale parameters. Mon Weather Rev 100(2):81–92
Shiri J, Dierickx W, Pour-Ali Baba A, Neamati S, Ghorbani MA (2011) Estimating daily pan evaporation from climatic data of the State of Illinois, USA using adaptive neuro-fuzzy inference system (ANFIS) and artificial neural network (ANN). Hydrol Res 42(6):491–502
Shu-gang C, Yan-bao L, Yan-ping W (2008) A forecasting and forewarning model for methane hazard in working face of coal mine based on LS-SVM. J China Univ Mining Technol 18:0172–0176
Smith M, Allen R, Pereira L (1997) Revised FAO methodology for crop water requirements. Land and Water Development Division, FAO, Rome
Sudheer KP, Gosain AK, Ramasastri KS (2003) Estimating actual evapotranspiration from limited climatic data using neural computing technique. J Irrig Drain Eng 129(3):214–218
Suykens JAK, Vandewalle J (1999) Least square support vector machine classifiers. Neural Process Lett 9(3):293–300
Trajkovic S (2005) Temperature-based approaches for estimating reference evapotranspiration. J Irrig Drain Eng 131(4):316–323
Trajkovic S, Todorovic B, Stankovic M (2003) Forecasting reference evapotranspiration by artificial neural networks. J Irrig Drain Eng 129(6):454–457
Xiaohui G, Xiaoping M (2010) Mine water discharge prediction based on least squares support vector machines. Min Sci Technol 20:0738–0742
Zhao XH, Wang G, Zhao KK, Tan DJ (2009) On-line least squares support vector machine algorithm in gas prediction. Min Sci Technol 19(2):194–198
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Kisi, O. Least squares support vector machine for modeling daily reference evapotranspiration. Irrig Sci 31, 611–619 (2013). https://doi.org/10.1007/s00271-012-0336-2
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DOI: https://doi.org/10.1007/s00271-012-0336-2

