Frequency Analysis of Maximum Daily Rainfall in various Climates of Iran

Document Type: Original Article

Authors

1 Graduated of Water Resources Engineering, University of Zabol. Zabol, Iran.

2 Department of Water Resources Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.

3 Assistant professor, Department of Water Engineering, University of Zabol. Zabol, Iran.

Abstract

    In this research in order to frequency analysis of maximum daily rainfall in various climates of Iran the data of 40 synoptic rain gauges collected in 40 years period i.e., 1973 to 2012 were used. These stations are located in various climates of Iran according to De Martonne climatic classification. At first, input of data to HYFA package was performed. The mentioned package includes seven probability distribution functions such as normal, two- and three-parameter lognormal, two-parameter gamma, Pearson and log-Pearson type III and extreme value type I or Gumbel. Then the data were fitted to seven mentioned distributions. HYFA estimates the parameters of the distributions by the methods of moments and maximum likelihood. The best distribution for each station was determined using mean relative deviation and mean square relative deviation as goodness of fit tests. The results showed that the suitable distribution for 29 stations is three-parameter lognormal, for five stations is two-parameter gamma, for two stations is two-parameter lognormal, for four stations is extreme value type I or Gumbel. Also, this study shows that the maximum daily rainfall in various climates of Iran can be analyzed with similar probability distribution functions. On the other hand, in similar climates, one could not use the same probability distribution functions for analyzing the data.

Keywords


اسلامیان، س. و سلطانی کوپائی، س. (1381). تحلیل فراوانی سیل. چاپ اول، اصفهان، نشر ارکان.
قنبرپور، م. و تلوری، ع. (1379) . مطالعه روابط بارندگی‌های حداکثر روزانه و کوتاه مدت در ایران. مجله پژوهش و سازندگی، شماره 49، ص 26-22.
Abolverdi, J. and Khalili, D. ( 2009). Development of Regional Rainfall Annual Maxima for Southwestern Iran by L-Moments. Water Resource Management.24:2501-2526.
Al-Houri, Z., Al-Omari, A., and Saleh, O., (2014). Frequency Analysis of Annual One Day Maximum Rainfall at Amman Zarqa Basin, Jordan. Civil and Environmental Research, 6(3), pp: 44-57.
Ali, A., W.Abtew, S.V. Horn and N. Khanal. (1999). Frequency and Spatial Analysis for Monthly Rainfall in Central and South Florida. Technical Publication WRE#371. South Florida Water Management District. West Palm Beach, Florida.
Cunnane, C. (1989). Statistical Distributions for Flood Frequency Analysis. World Meteorological Organization Operational Hydrology, Report No. 33, WMO-No. 718, Geneva, Switzerland.
Chow, V.T., Maidment, D.R. and Mays, L.W. (1988). Applied hydrology. McGraw-Hill Inc., New York.
Hershfield, D.M. (1961). Rainfall Frequency Atlas of the United States for Durations from 30 Minutes to 24 Hours and Return Periods from 1 to 100 Years. Technical Paper No. 40, Soil Conservation Service, U.S. Department of Agriculture, Washington, DC.
Kite, G.W. (1978). Frequency and risk analyses in hydrology. Water Resources Pub.
Lee, SH. and Meang, S.J. (2003). Frequency Analysis of Extreme Rainfall Using L-Moment.Irrigation and Drainage. 52: 219-230.
Malekinezhad, H., and Zare-Garizi, A.,(2014). Regional frequency analysis of daily rainfall extremes using L-moment approach. Atmosfera, 27(4), 411-427.
Mayooran, T., and Laheetharan, A., (2014). The Statistical Distribution of Annual Maximum Rainfall in Colombo District. Sri Lankan Journal of Applied Statistics, Vol. 15, No. 2, pp. 107.
Rao, A.R. and Hamed, K.H. (1997). Regional frequency analysis of Wabash river flood data by L-moments. Journal of Hydrologic Engineering, 2 (4), 169–179.
Rao, A.R. and Hamed, K.H. (2000). Flood Frequency Analysis. CRC Press.
Rao, R.A. and Srinivas, V.V. (2005). Regionalization of watersheds by hybrid-cluster analysis. Journal of Hydrology. 318: 37-56.
Singh, V.P. (1998). Entropy-based parameter estimation in hydrology. Kluwer Academic Pub.
Singla, Sh., Halder, R., Khosa, R., Singla, R., and Rajeev, R., (2014). Frequency analysis of annual one to five consecutive day maximum rainfall for Gandak river basin. International Journal of Engineering and Technology, 3(2):93-98.
Shabri, A. and Ariff, N.M. (2009). Frequency Analysis of Maximum Daily Rainfalls via L-Moment Approach. Sains Malaysiana, 38(2): pp:149–158.
Yurekli, K. and Modarres, R. (2007). Regionalization of maximum daily rainfall data Tokat province, Turkey. International Journal of Natural and Engineering Sciences,1(2): pp:1–7.
Yurekli, K., Modarres, R. and Ozturk, F. (2009). Regional daily maximum rainfall estimation for Cekerek watershed by L-moments. Meteorlogical Application. 16, pp:435-444.