Document Type : Research Paper
Authors
Department of Civil Engineering, Shahid Bahonar University, Kerman, P.O. Box 76169133, Iran.
Abstract
In this paper, a new framework has been developed for compatibility analysis of predictive climatic variables distribution with reference evapotranspiration (ETo) in probabilistic analysis of water requirement. Initially, measured monthly meteorological data of four cities of Iran including Kerman, Shiraz, Ramsar and Babolsar synoptic weather station recorded from 1961 to 2003 were considered based on De Martonne climate classification. Then monthly ETo was calculated using FAO-Penman-Moentith (FAO-PM), and optimum Probability distribution function (PDF) was determined. The Chow method has been used for frequency analysis, and compatibility analysis was implemented on results. Based on the results, the Generalized Pareto (GP) was selected as optimum PDF for ETo. Results showed that the optimum PDF for minimum and maximum temperature, solar radiation and relative humidity is GP which had compatibility with EToPDF. Eventually, obtained results in compatibility analysis framework were confirmed using Correlation analysis. The proposed methodology developed in this research has application capability in probability scheduling of design water requirement, and can be utilized to optimize probability estimate of water requirement.
Keywords
Castillo E., Hadi A.S., Fitting the Generalized Pareto distribution to data, American Statistical Association 92 (1997) 1609-1619.
Chow V.T., A general formula for hydrologic frequencyanalysis. Transactions, American Geophysical Union 32, 1951.
Kim S., Shin H., Kim T., Heo J.H., Derivation of the probability plot correlation coefficient test statistics for the generalized logistic distribution, International Workshop Advances in Statistical Hydrology, Taormina, Italy, May (2010) 23-25.
Oksoy H., Use of Gamma distribution in hydrological analysis, Turkish Journal of Engineering and Environmental Sciences 24 (1999) 419-428.
Ricciardi K.L., Pinder G.F., Belitz K., Comparison of the lognormal and beta distribution functions to describe the uncertainty in permeability, Hydrology 313 (2005) 248-256.
Temesgen B., Eching S., Davidoff B., Frame K., Comparison of some referenceevapotranspiration equations for California, Journal of Irrigation and Drainage Engineering 131 (2005) 73–84.
Vogel R.M., McMartin D.E., Probability plot goodness-of-fit and skewness estimation procedures for the Pearson type distribution. Water Resources Research 27 (1991) 3149-3158.
Vose D. Fitting distributions to data and why you are probably doing it wrong, 2010, Available in www.voesoftware.com.
Wright J.L., Allen, R.G., Howell, T.A. Conversion between evapotranspiration references and methods.Proceedings of the 4th National Irrigation Symposium, ASAE, Phoenix, AZ, 2000.
Yoo S.H., Choi, J.Y., Jang, M.W., Estimation of design water requirement using FAO Penman–Monteith and optimal probability distribution function in South Korea, Agricultural Water Management 95 (2008) 845-853.
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