Investigating the Scaling Properties of Extreme Rainfall Depth Series in Oromia Regional State, Ethiopia
Keywords:
Scaling Properties, Depth Duration Frequency, Rainfall Depth Series, Multiple ScalingAbstract
Depth Duration Frequency (DDF) relationships are currently constructed based on at site
frequency analysis of rainfall data separately for different durations. These relationships are
not accurate and reliable since they depend on assumptions such as distribution selection for
each duration; they require a large number of parameters, experience intensive equations
and regionalization is also very poor and coarse. In this study, scaling properties of extreme
rainfall depth series were examined to establish scaling behavior of statistical moments and
quantile estimates over different durations. The annual extreme series of precipitation
maxima for storm duration ranging from 0.5 to 24 hr observed at network of rain gauges sited
in Oromia regional state were analyzed using an approach based on moments. The analysis
investigated the statistical properties of rainfall extremes and detected that the statistics of the
rainfall extremes follows a power law relation with its duration. Moreover, the variations of the
distribution parameters with durations of annual maximum rainfall depth series were explored
and found that the logEV1, EV1 and logistic distribution parameters exhibit a power law
relationship with durations. Following the analysis, scale invariance of extreme rainfall depth
series is investigated and dissipative (multiple scaling) nature of extreme rainfall depth series
is considered, thus introducing a general distribution free framework to develop Depth
Duration frequency (DDF) model.
Downloads
Metrics
References
Abbay River Basin Integrated Development Master Plan Project; Phase 2. Volume, III, April 1999.
Adamocuski, K. (1997). Regional analysis of annual maximum and partial duration flood data by non parametric and L-moment methods. Journal of Hydrology 229-231.
Ahmad, M.I., Sinclair, C.D. and Werrity (1988). A log- logistic flood frequency analysis. Journal of Hydrology 98: 215- 224.
Asires, G. and Semu, A. (2008). Development of intensity duration frequency relationship for Tigray and Amhara gerions. M.Sc Thesis, Arba Minch University, Ethiopia.
Baldassare, G., Castellarin, A. and Brath, A. (2006). Relationships between statistics of rainfall extremes and mean annual precipitation: An application for design- storm estimation in North central Italy. Hydrology and Earth System Sciences 10: 189-601.
Bell, F.C (1969). Generalized rainfall duration frequency relationships. Journal of Hydrologic Division, ASCE 95(1): 311-327.
Bernand, M.M. (1932). Formulas for Rainfall Intensities of Long Durations. Transaction in ASCE 96: 592-624.
Bobee B. and Rasmussen (1998), Recent advances in flood frequency analysis. Journal of Hydrology 184: 47-49.
Burlando and Rosso. (1996). Scaling and multi-scaling models of depth duration frequency curves for storm precipitation. Journal of Hydrology 187: 45-65.
Chali. E. and Semu, A. (2007). Development of IDF for Oromia. M.Sc Thesis, School of Graduate Studies, Arba Minch university, Ethiopia.
Chaoche, K., Hubert, P. and Long, G. (2002), Geographical characterization of probability distribution. Stochastic Environment Research and Risk Assessment 16: 342- 357.
Chen, C.L. (1983). Rainfall intensity duration frequency formulas. Journal of Hydraulic Engineering, ASCE 109(12):603-1621.
Chow, V.T., Maidment, D.R. and Mays, L.W. (1988). Applied Hydrology, McGraw-Hill.
Coles and Pericchi (2003). A fully probabilistic approach to extreme rainfall modeling. Journal of Hydrology 273(1-4). 35-50.
Cunane, C. (1989). Statistical distribution for flood frequency analysis. World meteorological organization operational hydro. Rep. No.33, WMO publ.No.718, Geneva, pp.73.
Daly, A., Taylor, G.H. and Gibson, W.P. (1997). The PRISM approach to mapping precipitation and temperature, 10th AMS conference on applied climatology, America Meteorological Society.
Datlymple, T. (1960). Flood frequency analysis, US geological survey, Reston.
Dingman, L.S. (2002), Physical Hydrology, 2ndedition. Prentice–Hall. Inc. New Jersey.
Eagleson, P.S. (1970). Dynamic Hydrology, McGraw-Hill, New York.
Feleke, T. and Semu, A. (2002). Development of intensity duration frequency relationship for SNNP region. M.Sc Thesis, Arba Minch University, Ethiopia.
Fizgegland, D.L. (2007). Estimation of point rainfall frequencies. Irish meteorological service, Technical Note 61.
Foster. (1924). Assessing the effectiveness of hydrological similarity for frequency analysis, Journal of Hydrology 241(3-4).
Greenwood, J.A., Landwehr, J.M., Matalas, N.C. and Wallis,
J.R. (1979). Probability weighted moments; Definitions and relation to parameters of several distributions expressible in inverse form. Water Resource Research 15(5): 1049-1054.
Gumbel, E.J. (1941). Statistics of Extremes. Colombia university press, New York.
Downloads
Published
How to Cite
License
Copyright (c) 2014 Journal of Science, Technology and Arts Research
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
STAR © 2023 Copyright; All rights reserved
