Technical Papers
Jun 25, 2018

Daily Pan Evaporation Estimation Using Heuristic Methods with Gamma Test

Publication: Journal of Irrigation and Drainage Engineering
Volume 144, Issue 9

Abstract

In this study, radial basis neural network (RBNN), self-organizing map neural network (SOMNN), and multiple linear regression (MLR) are used for the estimation of daily pan evaporation at Pantnagar, situated in the foothills of the Himalayas, Uttarakhand, India. Daily climatic data include minimum and maximum air temperatures, relative humidity measured in the morning and afternoon, wind speed, and sunshine hours. Pan evaporation data were used for model calibration and validation. The combination of significant input variables for RBNN, SOMNN, and MLR models were decided using the gamma test. The results obtained by RBNN, SOMNN, and MLR models were compared with climate-based empirical models such as Penman, Stephens-Stewart, Griffiths, Christiansen, Priestley-Taylor, and Jensen-Burman-Allen models on the basis of root-mean squared error (RMSE), coefficient of efficiency (CE), and correlation coefficient (r). The results indicate that the performance of RBNN model (RMSE=1.024  mm/day, CE=0.874, and r=0.934) with six input variables was found to be superior in estimating daily pan evaporation at Pantnagar.

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References

Allen, R. G., L. S. Pereira, D. Raes, and M. Smith. 1998. Crop evapotranspiration: Guidelines for computing crop water requirements. Rome: Food and Agriculture Organization.
Broomhead, D., and D. Lowe. 1988. “Multivariable functional interpolation and adaptive networks.” Complex Syst. 2: 321–355.
Burman, R. D. 1976. “Intercontinental comparison of evaporation estimates.” J. Irrig. Drain. Eng. 102 (1): 109–118.
Chang, F. J., L. C. Chang, S. S. Kao, and G. R. Wu. 2010. “Assessing the effort of meteorological variables for evaporation estimation by self-organizing map neural network.” J. Hydrol. 384 (1–2): 118–129. https://doi.org/10.1016/j.jhydrol.2010.01.016.
Chang, F. J., L. C. Chang, and Y. S. Wang. 2007. “Enforced self-organizing map neural networks for river flood forecasting.” Hydrol. Process. 21 (6): 741–749. https://doi.org/10.1002/hyp.6262.
Christiansen, J. E. 1968. “Estimating pan evaporation and evapotranspiration from climatic data.” J. Irrig. Drain. Eng. 94 (2): 243–265.
Goyal, M. K., B. Bharti, J. Quilty, J. Adamowski, and A. Pandey. 2014. “Modeling of daily pan evaporation in sub-tropical climates using ANN, LS-SVR, fuzzy logic, and ANFIS.” Expert Syst. Appl. 41 (11): 5267–5276. https://doi.org/10.1016/j.eswa.2014.02.047.
Griffiths, J. F. 1966. “Another evaporation formula.” Agric. Meteorol. 3 (3–4): 257–261.
Guven, A., and O. Kisi. 2011. “Daily pan evaporation modelling using linear genetic programming technique.” Irrig. Sci. 29 (2): 135–145. https://doi.org/10.1007/s00271-010-0225-5.
Jensen, M. E., R. D. Burman, and R. G. Allen. 1990. Evapotranspiration and irrigation water requirements. Reston, VA: ASCE.
Kakaei Lafdani, E., N. A. A. Moghaddam, and A. Ahmadi. 2013. “Daily suspended sediment load prediction using artificial neural networks and support vector machines.” J. Hydrol. 478: 50–62. https://doi.org/10.1016/j.jhydrol.2012.11.048.
Keshtegar, B., J. Piri, and O. Kisi. 2016. “A nonlinear mathematical modeling of daily pan evaporation based on conjugate gradient method.” Comput. Electron. Agric. 127: 120–130. https://doi.org/10.1016/j.compag.2016.05.018.
Keskin, M. E., and O. Terzi. 2006. “Artificial neural network models of daily pan evaporation.” J. Hydrol. Eng. 11 (1): 65–70. https://doi.org/10.1061/(ASCE)1084-0699(2006)11:1(65).
Kim, S., J. Shiri, and O. Kisi. 2012. “Pan evaporation modeling using neural computing approach for different climatic zones.” Water Resour. Manage. 26 (11): 3231–3249. https://doi.org/10.1007/s11269-012-0069-2.
Kim, S., J. Shiri, O. Kisi, and V. P. Singh. 2013. “Estimating daily pan evaporation using different data-driven methods and lag-time patterns.” Water Resour. Manage. 27 (7): 2267–2286. https://doi.org/10.1007/s11269-013-0287-2.
Kisi, O. 2009. “Daily pan evaporation modelling using multi-layer perceptrons and radial basis neural networks.” Hydrol. Process. 23 (2): 213–223.
Kisi, O. 2015. “Pan evaporation modeling using least square support vector machine, multivariate adaptive regression splines and M5 model tree.” J. Hydrol. 528: 312–320. https://doi.org/10.1016/j.jhydrol.2015.06.052.
Kohonen, T. 1982. “Self-organized formation of topologically correct feature maps.” Biol. Cybern. 43 (1): 59–69. https://doi.org/10.1007/BF00337288.
Lin, G.-F., H.-Y. Lin, and M.-C. Wu. 2013. “Development of a support-vector-machine-based model for daily pan evaporation estimation.” Hydrol. Process. 27 (22): 3115–3127.
Malik, A., A. Kumar, and J. Piri. 2017. “Daily suspended sediment concentration simulation using hydrological data of Pranhita River Basin, India.” Comput. Electron. Agric. 138: 20–28. https://doi.org/10.1016/j.compag.2017.04.005.
Moghaddamnia, A., G. M. Ghafari, J. Piri, S. Amin, and D. Han. 2009. “Evaporation estimation using artificial neural networks and adaptive neuro-fuzzy inference system techniques.” Adv. Water Resour. 32 (1): 88–97. https://doi.org/10.1016/j.advwatres.2008.10.005.
Nash, J. E., and J. V. Sutcliffe. 1970. “River flow forecasting through conceptual models. 1: A discussion of principles.” J. Hydrol. 10 (3): 282–290. https://doi.org/10.1016/0022-1694(70)90255-6.
Pammar, L., and P. C. Deka. 2017. “Daily pan evaporation modeling in climatically contrasting zones with hybridization of wavelet transform and support vector machines.” Paddy Water Environ. 15 (4): 711–722. https://doi.org/10.1007/s10333-016-0571-x.
Penman, H. L. 1948. “Natural evaporation from open water, bare soil and grass.” Proc. R. Soc. London 193 (1032): 120–145. https://doi.org/10.1098/rspa.1948.0037.
Penman, H. L. 1956. “Evaporation: An introductory survey.” J. Agri. Sci. 4: 9–29.
Piri, J., S. Amin, A. Moghaddamnia, A. Keshavarz, D. Han, and R. Remesan. 2009. “Daily pan evaporation modeling in a hot and dry climate.” J. Hydrol. Eng. 14: 803–811. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000056.
Priestley, C. H. B., and R. J. Taylor. 1972. “On the assessment of surface heat flux and evaporation using large-scale parameters.” Mon. Weather Rev. 100 (2): 81–92. https://doi.org/10.1175/1520-0493(1972)100%3C0081:OTAOSH%3E2.3.CO;2.
Rahimikhoob, A. 2009. “Estimating daily pan evaporation using artificial neural network in a semi-arid environment.” Theor. Appl. Climatol. 98 (1–2): 101–105. https://doi.org/10.1007/s00704-008-0096-3.
Rashidi, S., M. Vafakhah, E. Kakaei Lafdani, and M. R. Javadi. 2016. “Evaluating the support vector machine for suspended sediment load forecasting based on gamma test.” Arab. J. Geosci. 9 (11): 2–15. https://doi.org/10.1007/s12517-016-2601-9.
Remesan, R., M. A. Shamim, D. Han, and J. Mathew. 2009. “Runoff prediction using an integrated hybrid modelling scheme.” J. Hydrol. 372 (1–4): 48–60. https://doi.org/10.1016/j.jhydrol.2009.03.034.
Sabziparvar, A. A., H. Tabari, A. Aeini, and M. Ghafouri. 2010. “Evaluation of Class A pan coefficient models for estimation of reference crop evapotranspiration in cold-semi arid and warm arid climates.” Water Resour. Manage. 24 (5): 909–920. https://doi.org/10.1007/s11269-009-9478-2.
Shiri, J., W. Dierickx, A. P. A. Baba, S. Neamati, and M. A. Ghorbani. 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. https://doi.org/10.2166/nh.2011.020.
Shirsath, P. B., and A. K. Singh. 2010. “A comparative study of daily pan evaporation estimation using ANN, regression and climate based models.” Water Resour. Manage. 24 (8): 1571–1581. https://doi.org/10.1007/s11269-009-9514-2.
Stefansson, A., N. Koncar, and A. J. Jones. 1997. “A note on the gamma test.” Neural Comput. Appl. 5 (3): 131–133.
Stephens, J. C., and E. H. Stewart. 1963. “A comparison of procedures for computing evaporation and evapotranspiration.” In Vol. 62 of International Association of Scientific Hydrology. International Union of Geodynamics and Geophysics, 123–133. Berkeley, CA.
Terzi, O., and M. E. Keskin. 2005. “Modelling of daily pan evaporation.” J. Appl. Sci. 5 (2): 368–372. https://doi.org/10.3923/jas.2005.368.372.
Trajkovic, S., and S. Kolakovic. 2010. “Comparison of simplified pan-based equations for estimating reference evapotranspiration.” J. Irrig. Drain. Eng. 136 (2): 137–140. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000133.
Trajkovic, S., M. Stankovic, and B. Todorovic. 2000. “Estimation of FAO Blaney-Criddle b Factor by RBF network.” J. Irrig. Drain. Eng. 126 (4): 268–270. https://doi.org/10.1061/(ASCE)0733-9437(2000)126:4(268).
Wang, L., O. Kisi, B. Hu, M. Bilal, M. Zounemat-Kermani, and H. Li. 2017a. “Evaporation modelling using different machine learning techniques.” Supplement, Int. J. Climatol. 37 (S1): 1076–1092. https://doi.org/10.1002/joc.5064.
Wang, L., O. Kisi, M. Zounemat-Kermani, and H. Li. 2017b. “Pan evaporation modeling using six different heuristic computing methods in different climates of China.” J. Hydrol. 544: 407–427. https://doi.org/10.1016/j.jhydrol.2016.11.059.
Wang, L., Z. Niu, O. Kisi, C. Li, and D. Yu. 2017c. “Pan evaporation modeling using four different heuristic approaches.” Comput. Electron. Agric. 140: 203–213. https://doi.org/10.1016/j.compag.2017.05.036.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 144Issue 9September 2018

History

Received: Dec 24, 2017
Accepted: Apr 6, 2018
Published online: Jun 25, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 25, 2018

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Anurag Malik
Ph.D. Scholar, Dept. of Soil and Water Conservation Engineering, College of Technology, G.B. Pant Univ. of Agriculture and Technology, Pantnagar, Uttarakhand 263145, India.
Anil Kumar
Professor and Head, Dept. of Soil and Water Conservation Engineering, College of Technology, G.B. Pant Univ. of Agriculture and Technology, Pantnagar, Uttarakhand 263145, India.
Professor, School of Natural Sciences and Engineering, Ilia State Univ., Tbilisi 0162, Georgia (corresponding author). Email: [email protected]

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