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Regionalization of IDF Curves with L-Moments for Storm Events

Authors: Noratiqah Mohd Ariff, Abdul Aziz Jemain, Mohd Aftar Abu Bakar


The construction of Intensity-Duration-Frequency (IDF) curves is one of the most common and useful tools in order to design hydraulic structures and to provide a mathematical relationship between rainfall characteristics. IDF curves, especially those in Peninsular Malaysia, are often built using moving windows of rainfalls. However, these windows do not represent the actual rainfall events since the duration of rainfalls is usually prefixed. Hence, instead of using moving windows, this study aims to find regionalized distributions for IDF curves of extreme rainfalls based on storm events. Homogeneity test is performed on annual maximum of storm intensities to identify homogeneous regions of storms in Peninsular Malaysia. The L-moment method is then used to regionalized Generalized Extreme Value (GEV) distribution of these annual maximums and subsequently. IDF curves are constructed using the regional distributions. The differences between the IDF curves obtained and IDF curves found using at-site GEV distributions are observed through the computation of the coefficient of variation of root mean square error, mean percentage difference and the coefficient of determination. The small differences implied that the construction of IDF curves could be simplified by finding a general probability distribution of each region. This will also help in constructing IDF curves for sites with no rainfall station.

Keywords: Regionalization, L-moments, IDF curves, storm events

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[1] T. T. Hailegeorgis, S. T. Thorolfsson, and K. Alfredsen, “Regional frequency analysis of extreme precipitation with consideration of uncertainties to update IDF curves for the city of Trondheim,” Journal of Hydrology, vol. 498, pp. 305-318, 2013.
[2] C. Kim, M. S. Suh, and K. O. Hong, “Bayesian changepoint analysis of the annual maximum of daily and subdaily precipitation over South Korea,” Journal of Climate, vol. 22(24), pp. 6741-6757, 2009.
[3] S. C. Kao, and R. S. Govindaraju, “Probabilistic structure of storm surface G. Panthou, T. Vischel, T. Lebel, G. Quantin, A-C. Favre Pugin, J. Blanchet, and A. Ali, “From pointwise testing to a regional vision: an integrated statistical approach to detect non stationarity in extreme daily rainfall. Application to the Sahelian region,” Journal of Geophysical Research: Atmospheres, vol. 118(15), pp. 8222-8237, 2013.
[4] A. Mailhot, S. Lachance-Cloutier, G. Talbot, and A-C. Favre, “Regional estimates of intense rainfall based on the Peak-Over-Threshold (POT) approach,” Journal of Hydrology, vol. 476, pp. 188-199, 2013.
[5] E. Thibaud, R. Mutzner, and A. C. Davison, “Threshold modeling of extreme spatial rainfall,” Water Resources Research, vol. 49(8), pp. 4633-4644, 2013.
[6] X. Zhao, and P. S. Chu, “Bayesian changepoint analysis for extreme events (typhoons, heavy rainfall, and heat waves): An RJMCMC approach,” Journal of Climate, vol. 23(5), pp. 1034-1046, 2010.
[7] P. J. Restrepo-Pasada, and P. S. Eagleson, “Identification of independent rainstorms,” Journal of Hydrology, vol. 55(1-4), pp. 303-319, 1982.
[8] N. M. Ariff, A. A. Jemain, K. Ibrahim, and W. Z. Wan Zin, “IDF Relationships using Bivariate Copula for Storm Events in Peninsular Malaysia,” Journal of Hydrology, vol. 470-471, pp. 158-171, 2012.
[9] L. A. Gerold, and D. W. Watkins, “Short duration rainfall frequency analysis in Michigan using scale-invariance assumptions,” Journal of Hydrologic Engineering, vol. 10(6), pp. 450-457, 2005.
[10] P. S. Yu, T. C. Yang, and C. S. Lin, “Regional rainfall intensity formulas based on scaling property of rainfall,” Journal of Hydrology, vol. 295(1), pp. 108-123, 2004.
[11] H. Madsen, K. Arnbjerg-Nielsen, and P. S. Mikkelsen, “Update of regional intensity–duration–frequency curves in Denmark: Tendency towards increased storm intensities,” Atmospheric Research, vol. 92(3), pp. 343-349, 2009.
[12] J. Adamowski, K. Adamowski, and J. Bougadis, “Influence of trend on short duration design storms,” Water resources management, vol. 24(3), pp. 401-413, 2010.
[13] P. S. Yu, and C. J. Chen, “Regional analysis of rainfall intensity-duration-frequency relationship,” Journal of the Chinese Institute of Engineers, vol. 19(4), pp. 523-532, 1996.
[14] P. Willems, “Compound intensity/duration/frequency-relationships of extreme precipitation for two seasons and two storm types,” Journal of Hydrology, vol. 233(1), pp. 189-205, 2000.
[15] J. R. M. Hosking, “L-moments: analysis and estimation of distributions using linear combinations of order statistics,” Journal of the Royal Statistical Society. Series B (Methodological), vol. 52(1), pp. 105-124, 1990.
[16] H. A. David, Order Statistics, 2nd Ed., Wiley, New York, 1981.
[17] N. Seckin, T. Haktanir, and R. Yurtal, “Flood frequency analysis of Turkey using L‐moments method,” Hydrological processes, vol. 25(22), pp. 3499-3505, 2011.
[18] A. Sarhadi, and M. Heydarizadeh, “Regional frequency analysis and spatial pattern characterization of Dry Spells in Iran,” International Journal of Climatology, vol. 34(3), pp. 835-848, 2014.
[19] J. R. M. Hosking, and J. R. Wallis, “Some statistics useful in regional frequency analysis,” Water Resources Research, vol. 29(2), pp. 271-281, 1993.
[20] M. A. A. Bakar, N. M. Ariff, and A. A. Jemain, “Daily probability model of storm events in Peninsular Malaysia,” 2016, submitted for publication.
[21] H. Wazneh, F. Chebana, and T. B. M. J. Ouarda, “Depth‐based regional index‐flood model,” Water Resources Research, vol. 49(12), pp. 7957-7972, 2013.
[22] N. M. Ariff, A. A. Jemain, and M. A. A. Bakar, “Pengitlakan lengkung IDF untuk peristiwa ribut ekstrim di Semenanjung Malaysia,” Journal of Quality Measurement and Analysis, vol. 11(2), pp. 31-46, 2015.