Application of Soft Computing Methods in Predicting Evapotranspiration

Abstract

Exact prediction of evapotranspiration is necessary for study, design and management of irrigation systems. In this research, the suitability of soft computing approaches namely, fuzzy rule base, fuzzy regression and artificial neural networks for estimation of daily evapotranspiration has been examined and the results are compared to real data measured by lysimeter on the basis of reference crop (grass). Using daily climatic data from Haji Abad station in Hormozgan, west of Iran, including maximum and minimum temperatures, maximum and minimum relative humidities, wind speed and sunny hours, evapotranspiration was predicted by soft computing methods. The predicted evapotranspiration values from fuzzy rule base, fuzzy linear regression and artificial neural networks show root mean square error (RMSE) of 0.75, 0.79 and 0.81 mm/day and coefficient of determination of (R2) of 0.90, 0.87 and 0.85, respectively. Therefore, fuzzy rule base approach was found to be the most appropriate method employed for estimating evapotranspiration.

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A. Honarbakhsh, M. Dashtpagerdi and H. Vagharfard, "Application of Soft Computing Methods in Predicting Evapotranspiration," Open Journal of Geology, Vol. 3 No. 7, 2013, pp. 397-403. doi: 10.4236/ojg.2013.37045.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] M. R. Kousari and H. Ahani, “An Investigation on Reference Crop Evapotranspiration Trend from 1975 to 2005 in Iran,” International Journal of Climatology, Vol. 32, No. 15, 2012, pp. 2387-2402. wileyonlinelibrary.com http://dx.doi.org/10.1002/joc.3404
[2] P. Najafi, “Computerize Model of Plant Evapotranspiration by Using of Hargrives Samani Method in Different Points of IRAN,” Designing Research of Khorasgan Azad University. 2004
[3] J. L. Monteith, “Evaporation and Environment,” Hydrologie Forestiere et Amenagement des Bassins Hydrologiques (Proceedings of the Vancouver Symposium), August 1987, Actes du Co11oque de Vancouver, Aout 1987, pp. 319-327.
[4] R. G. Allen, “A Penman for All Season,” Irrigation and Drainage, Vol. 112, No. 4, 1986, pp. 348-368. http://dx.doi.org/10.1061/(ASCE)0733-9437(1986)112:4(348)
[5] R. G. Allen, L. S. Pereira, D. Raes and M. Smith, “Crop Evapotranspiration—Guidelines for Computing Crop Water Requirements,” FAO Irrigation and Drainage Paper 56. Food and Agriculture Organization of the United Nations, Rome, 1998.
[6] M. E. Jensen, R. D. Burman and R. G. Allen, “Evapotranspiration and Irrigation Water Requirements,” ASCE Manual and Report on Engineering Practice No. 70, New York, 1990.
[7] J. M. Bruton, R. W. McClendon and G. Hoogenboom, “Estimating Daily Pan Evaporation with Artificial Neural Network,” Trans., Vol. 43, No. 2, 2000, pp. 492-496.
[8] C. H. B. Priestley and R. J. Taylor, “On the Assessment of Surface Heat FRBMux and Evaporation Using Large-Scale Parameters,” Monthly Weather Review, Vol. 100, No. 2, 1972, pp. 81-91.
http://dx.doi.org/10.1175/1520-0493(1972)100<0081:OTAOSH>2.3.CO;2
[9] L. O. Odhiambo, R. E. Yoder, D. C. Yoder and J. W. Hines, “Optimization of Fuzzy Evapotranspiration Model through Neural Training with Input-Output Examples,” Transactions of the ASAE. Vol. 44, No. 6, 2001, pp. 1625-1633. http://dx.doi.org/10.13031/2013.7049
[10] M. Shayannejad and S. SaadatiNejad, “Determining of Evapotranspiration by Using Fuzzy Regression Method,” Journal of Water Resources Research, Vol. 9, No. 3, 2007, pp. 1-9.
[11] G. H. Hargreaves, “Simplified Coefficients for Estimating Monthly Solar Radiation in North America and Europe,” Utah State University, Logan, Utah, 1994.
[12] G. H. Hargreaves and Z. A. Samani, “Estimating Potential Evapotranspiration,” Journal of Irrigation and Drainage Engineering, Vol. 108, No. IR3, 1982, pp. 223-230.
[13] G. H. Hargreaves and Z. A. Samani, “Reference Crop Evapotranspiration FRMom Temperature,” Transaction of ASAE, Vol. 1, No. 2, 1985, pp. 96-99.
[14] L. A. Zadeh, “Fuzzy Set,” Information and Control, Vol. 8, No. 3, 1965, pp. 338-353.
[15] A. Bardossy and L. Duckstein, “Fuzzy Rule Based Modeling Wigh Application to Geophysical, Biological and Engineering Systems,” CRC Press, Boca Raton, 1995.
[16] D. G. Fontane, T. K. Gates and E. Moncada, “Planning Reservoir Operations with Imprecise Objectives,” Journal of Water Resources Planning and Management, Vol. 123, No. 3, 1997, pp. 154-162. http://dx.doi.org/10.1061/(ASCE)0733-9496(1997)123:3(154)
[17] G. Pesti, B. P. Shreshta, L. Duckstein and I. Bogardi, “A Fuzzy Rule Based Approach to Drought Assessment,” Water Resources Research, Vol. 32, No. 6, 1996, pp. 1741-1747. http://dx.doi.org/ 10.1029/96WR00271
[18] A. Bardossy I. Bogardi and L. Duckstein, “Fuzzy Regression in Bydrology,” Water Resources Research, Vol. 26, No. 7, 1990, pp. 1497-1508. http://dx.doi.org/10.1029/WR026i007p01497
[19] P. G. Benardos and G. C. Vosniakos, “Prediction of Surface Roughness in CNC Face Milling Using Neural Networks and Taguchi’s Design of Experiments,” Robotics and Computer-Integrated Manufacturing, Vol. 18, No. 5-6, 2002, pp. 343-354.
[20] H. Tanaka, S. Uejima and K. Asia, “Linear Regression Analysis with Fuzzy Model,” IEEE Transactions on Systems, Man and Cybernetics, Vol. 12, No. 6, 1982, pp. 903-907. http://dx.doi.org/10.1109/ TSMC.1982.4308925
[21] J. J. Buckley, “Fuzzy Hierarchical Analysis,” Fuzzy Sets and Systems, Vol. 17, No. 3, 1985, pp. 233-247.
[22] J. J. Buckley, E. Eslami and T. Feuring, “Fuzzy Mathematics in Economics and Engineering,” Physica Verlag, Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-7908-1795-9
[23] P. Diamond, “Fuzzy Least Squares,” Information Science, Vol. 46, No. 3, 1988, pp. 141-157. http://dx.doi.org/10.1016/0020-0255(88)90047-3
[24] H. F Wang and R. C. Tsaur, “Insight of a Fuzzy Regression Model,” Fuzzy Sets and Systems, Vol. 112, No. 3, 2000, pp. 355-369. http://dx.doi.org/10.1016/S0165-0114(97)00375-8
[25] Prajneshu, “A Stochastic Model for Two Interacting Species,” Stochastic Processes and Their Applications, Vol. 4, No. 3, 1976, pp. 271-282. http://dx.doi.org/10.1016/0304-4149(76)90015-6
[26] Y. H. O. Chang and B. M. Ayaaub, “Fuzzy Regression Methods—A Comparative Assessment,” Fuzzy Sets and Systems, Vol. 119, No. 2, 2001, pp. 187-203.
[27] G. Peters, “Fuzzy Linear Regressin with Fuzzy Intervals,” Fuzzy Sets and Systems, Vol. 63, No. 1, 1994, pp. 45-55.
[28] K. J. Kim, H. Moskowitz and M. Koksalan, “Fuzzy versus statistical linear regression,” European Journal of Operational Research, Vol. 92, No. 2, 1996, pp. 417-434. http://dx.doi.org/10.1016/0377-2217(94)00352-1
[29] C. Kao and C. L. Chyu, “A Fuzzy Linear Regression Model with Better Explanatory Power,” Fuzzy Sets and Systems, Vol. 126, No. 3, 2002, pp. 401-09. http://dx.doi.org/10.1016/S0165-0114(01)00069-0
[30] R. K. Singh, Prajneshu and H. Ghosh, “A TWO-Stage Fizzy Least Squares Procedure for Fitting von Bertalanffy Growth Model,” 2007.
[31] J. J. Buckey and T. Feuring, “Universal Approximators for Fuzzy Functions,” Fuzzy Set and Systems, Vol. 113, No. 3, 2000, pp. 411-415.
[32] A. A. Alesheikh, M. J. Soltani, N. Nouri and M. Khalilzadeh, “Land Assessment for Flood Spreading Site Selection Using Geospatial Information System,” International Journal of Environmental Science and Technology, Vol. 5, No. 4, 2008, pp. 455-462. http://dx.doi.org/10.1007/BF03326041

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