Abstract
Design storm is one of the most important tools to design hydraulic structures, hydrologic system and watershed management, mostly extracted by intensity- duration - frequency (IDF) curves for a given specific duration and return period. As for conventional methods to calculate IDF curves, the precipitation should be recorded for different durations so that foregoing curves can be extracted. Such data can be collected from rain gauge stations. In many areas, just daily precipitation data are available by which IDF curves cannot be extracted as per conventional methods. The aim of this research is to make IDF curves for short-term durations according to time scaling model as well as daily rainfalls. The relationships of this method are characterized with three variables including mean (μ 24) and standard deviation (σ 24) of daily rainfall intensity, and scaling exponent (H) by which all IDF curves might be drawn. The method used in present paper entails for less computational steps than conventional methods and by far has low parameters considerably than others in turn increases reliability. Scaling method is used to extract the IDF curves in rain-gauge stations in Khuzestan province located in southwest Iran and results proved the efficiency and robustness of the scaling method. Also ability of scaling concept method was examined in constructing of regional IDF.








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Bell FC (1969) Generalized rainfall-duration-frequency relationships. J Hydraul Div 95(1):311–327
Bernard MM (1932) Formulas for rainfall intensities of long duration. Trans Am Soc Civ Eng 96(1):592–606
Blanchet J, Ceresetti D, Molinié G, Creutin J-D (2016) A regional GEV scale-invariant framework for intensity–duration–frequency analysis J. Hydrol 540:82–95. doi:10.1016/j.jhydrol.2016.06.007
Burlando P, Rosso R (1996) Scaling and multi scaling models of depth-duration-frequency curves for storm precipitation. J Hydrol 187(1):45–64
Chen CL (1983) Rainfall intensity-duration-frequency formulas. J Hydraul Eng 109(12):1603–1621
Chow VT (1964) Handbook of applied hydrology. McGraw-Hill, New York
Diaconis P, Efron B (1983) Computer intensive methods in statistics. Sci Am 248(5):116–130
Elsebaie IH (2012) Developing rainfall intensity–duration–frequency relationship for two regions in Saudi Arabia. Journal of King Saud University – Engineering Sciences 24(2):131–140. doi:10.1016/j.jksues.2011.06.001
Ghahraman B (1995) A general dimensionless rainfall depth- duration- frequency relationship. Agricultural Research Journal 14:217–235
Ghahraman B. (1998) A comprehensive study of June 6, 1992 storm in Mashhad. J.WSS. 2003; 7 (2):29-41
Ghahraman B, Abkhezr HR (2004) Improvement in intensity-duration-frequency relationships of rainfall in Iran. JWSS 8(2):1–14
Ghahraman B, Shamkoian H, Davari K (2010) Derivation of the regional rainfall depth-duration-frequency equations using linear moment theories (case study: Khorasan provinces). Iranian Journal of irrigation and drainage 4(1):132–142
Ghahramn B., Sepaskhah A.R. (1990) Intensity-duration-frequency estimation in Iran using 1-hour, 10- year rainfall, third international congress of civil engineering, Iran, pp. 35-55.
Ghanmi H, Bargaoui Z, Mallet C (2016) Estimation of intensity-duration-frequency relationships according to the property of scale invariance and regionalization analysis in a Mediterranean coastal area. J. Hydrol. 541(a):38–49. doi:10.1016/j.jhydrol.2016.07.002
Gupta VK, Waymire E (1990) Multi scaling properties of spatial and river flow distributions. J Geophys Res 95(D3):l999–2009
Kothyari UC, Garde RJ (1992) Rainfall intensity-duration-frequency formula for India. J Hydraul Eng ASCE 118:323–336. doi:10.1061/(ASCE)0733-9429(1992)118:2(323)
Koutsoyiannis D, Kozonis D, Manetas A (1998) A mathematical framework for studying rainfall intensity-duration-frequency relationships. J Hydrol 206(1):118–135
Kumar BA, Khosa R, Maheswaran R (2016) Developing intensity duration frequency curves based on scaling theory using linear probability weighted moments: a case study from India. J Hydrol 542:850–859. doi:10.1016/j.jhydrol.2016.09.056
Mirhosseini G, Srivastava P, Stefanova L (2013) The impact of climate change on rainfall intensity–duration–frequency (IDF) curves in Alabama. Reg Environ Chang 13(S1):25–33
Nguyen VTV, Nguyen TD, Ashkar F (2002) Regional frequency analysis of extreme rainfalls. Water Sci Technol 45(2):75–81
Nhat LM, Tachikawa Y, Takaka K (2006) Establishment of IDF relationships for monsoon areas, annual of Disas. Prev. Rrev. Inst. Kyoto University, No 49(B):93–103
Noori Gheidari MH (2009) Derivation of rainfall intensity – duration – frequency relationships for short-duration rainfall from daily data, fifth national conference on watershed management science and engineering. Gorgan university of agricultural sciences and natural resources, Iran
Pagliara S, Viti C (1993) Discussion of “rainfall intensity-duration-frequency formula for India” by Umesh C. Kothyari and Ramachandra J. Garde (February, 1992, Vol. 118, no. 2). J Hydraul Eng 119(8):962–966
Pegram G, Menabde M, Seed A (1999) A simple scaling model for extreme rainfall. Water Resour Res 35(1):335–339
Rasel M, Hossain SM (2015) Development of rainfall intensity duration frequency (R-IDF) equations and curves for seven divisions in Bangladesh. International Journal of Scientific & Engineering Research 6(5):96–101
Sherman CW (1931) Frequency and intensity of excessive rainfalls at Boston, Massachusetts. Trans Am Soc Civ Eng 95(1):951–960
Sivapalan M, Blöschl G (1998) Transformation of point rainfall to areal rainfall: intensity- duration-frequency curves. J Hydrol 204(1):150–167
Vaziri F (1984) Analysis of storms and determination of the intensity curves for different regions of Iran. Academic Jihad, unit of Tehran, Iran
Vaziri F (1992) Determination of regional relations for short-term rainfall in Iran. Academic Jihad, unit of Khaje nasir, Iran
Yu PS, Yang TC, Lin CS (2004) Regional rainfall intensity formulas based on scaling property of rainfall. J Hydro 295(1):108–123
Zope P, Eldho TI, Jothiprakash V (2016) Development of rainfall intensity duration frequency curves for Mumbai city, India. Journal of water resource and protection 8:756–765. doi:10.4236/jwarp.2016.87061
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Soltani, S., Helfi, R., Almasi, P. et al. Regionalization of Rainfall Intensity-Duration-Frequency using a Simple Scaling Model. Water Resour Manage 31, 4253–4273 (2017). https://doi.org/10.1007/s11269-017-1744-0
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DOI: https://doi.org/10.1007/s11269-017-1744-0
