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International Journal Of Rural Development, Environment And Health Research(IJREH)

Evaporation and Production Efficiency Modelling Using Fuzzy Linear Recurrence

Saeid Eslamian , Fatemeh Sorousha , Morteza Soltani , Kaveh Ostad-Ali-Askari , Shahide Dehghan , Mohsen Ghane , Vijay P. Singh , Nicolas R. Dalezios

International Journal of Rural Development, Environment and Health Research(IJREH), Vol-2,Issue-4, July - August 2018, Pages 20-28, 10.22161/ijreh.2.4.3

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The relationship between crop production and amount of evapotranspiration is very important to agronomists, engineers, economists, and water resources planners. These relationships are often determined using classical least square regression (LSR). However, one needs high amount of samples to determine probability distribution function. Linear regression also requires so many measurements to obtain the valid estimates of crop production function coefficients. In addition, deriving ET-yield regression for each crop and each district is usually expensive, since lysimetric experiments should be repeated for several years for each crop. The object of this study is to introduce a fuzzy linear regression as an alternative approach to statistical regression analysis in determining coefficients of ET- yield relations for each crop and each district with minimum data. The application of possibilistic regression has been examined with a case study. Two data set for winter wheat in Loss Plateau of China and North China Plain have been used. The current finding shows capability of possibilistic regression in estimation of crop yield in data shortage conditions.

Data shortage; evapotranspiration; fuzzy regression; grain yield; production function.

[1] Bardossy, A. (1990). Note on fuzzy regression. Fuzzy sets System. 37, 65-75.
[2] Cheng Si, B., & Bodhinayake, W. (2005). Determining soil hydraulic properties from tension infiltrometer measurements: Fuzzy regression. Soil Science Society of American Journal. 69,1922–1930.
[3] Cole, J.S., & Mathews, O.R. (1923). Use of water by spring wheat on the Great Plains. USDA Bureau of Plant Industry, Bulletin No. 1004.
[4] Finger, R., Hediger, W. (2007). The Application of robust regression to a production function comparison – the example of Swiss corn. Available at: http://mpra.ub.uni-muenchen.de/9097/ MPRA Paper No. 9097, posted 16. June 2008 / 08:09.
[5] Hanks, R. J., H. R. Gardner, & Florian R. L. (1969). Plant growth- evapotranspiration relations for several crops in the central Great Plains. Agronomy Journal. 61, 30-34.
[6] Kang, S., Zhang, L., Liang, Y., Hu, X., Cai, H., & Gu, B. (2002). Effect of limited irrigation on yield and water use efficiency of winter wheat in the Loess Plateau of China. Agricultural Water Management. 55, 203-216.
[7] Mathews, O. R., & Brown, L. A. (1938). Winter wheat and sorghum production in the southern Great Plains under limited rainfall. USDA Circular 477. U.S. Government Printing Office, Washington, DC.
[8] Sahin, V. & Hall, M. J. (1996). The effects of afforestation and deforestation on water yields. Journal of Hydrology. 178, 293-309.
[9] Shimosaka, T., Kitamori, T., Harata, A., & Sawada, T. (1996). Fuzzy linear regression method in and analytical interpretation ultratrace analysis. Analytical Sciences. 12: 385-391.
[10] Taheri, S. M., Tavanai, H., & Nasiri, M. (2006). Fuzzy versus statistical rRegression in false- twist texturing. WSEAS Transactions on Mathematics. 10(5): 1109-2769.
[11] Tanaka, H., Uejima, S., & Asima, K. (1982). Linear regression analysis with fuzzy model. IEEE Transactions on Systems, Man, and Cybernetics. 12, 903-907.
[12] Thornthwaite, C.W. (1948). An approach towards a rational classification of climate. Geographical Review. 38, 55-94.
[13] Tseng, F. M., Tzeng, G. H., & Yu, H. C. (1999). Fuzzy seasonal time series for forecasting the production value of the mechanical industry in Taiwan. Technological Forecasting and Social Change. 60, 263–273.
[14] Vaux, H.J., Jr., & Pruitt, W.O. (1983). Crop-water production function. In D. Hillel (ed.) Advances in irrigation. Vol. 2. Academic Press, New York, p. 61-97
[15] Zhang, H., & Oweis, T. (1999). Water-yield relations and optimal irrigation scheduling of wheat in the Mediterranean region. Agricultural Water Management. 38-195-211.
[16] Zhang, H., Wang, X., You, M., & Liu, C. (1999). Water – yield relations and water-use efficiency of winter wheat in the North China Plain. Irrigation Science. 19: 37–45.