Case Studies
Jun 29, 2015

Comparison of Annual Maximum and Partial Duration Series for Derivation of Rainfall Intensity-Duration-Frequency Relationships in Peninsular Malaysia

Publication: Journal of Hydrologic Engineering
Volume 21, Issue 1

Abstract

The use of partial duration series (PDS) with generalized Pareto (GPA) distribution in hydrological frequency analysis has been popular during the last few decades because PDS is capable of including more extreme events than annual maximum series (AMS). In Malaysia, the most updated rainfall intensity-duration-frequency (IDF) relationships that serve as the official hydrological design guideline are based on the fitting of AMS to the generalized extreme value (GEV) distribution. The purpose of this paper is to identify the statistical model that best represent Peninsular Malaysia for deriving rainfall IDF relationships. Besides GEV and GPA distributions, other distributions such as generalized logistic (GLO), Gumbel (EV1), lognormal (LN3), and log-Pearson Type III (LP3) are also included in this study. Rainfall data with record length varying between 10 and 41 years from 60 rainfall stations in Peninsular Malaysia are computed into AMS and PDS, and fitted to the selected distributions. The L-moment ratio diagram is used to determine the appropriateness of these frequency distributions, then Anderson-Darling tests are performed to compare the goodness of fit of the selected models, and the estimated rainfall intensities are observed. The results show that the PDS-GPA model performs better in goodness-of-fit tests, which encourage the use of the PDS-GPA model for generating rainfall IDF relationships in Peninsular Malaysia.

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Acknowledgments

The authors would like to thank the Department of Irrigation and Drainage (DID) Malaysia for supplying the rainfall data that are used in this study. The authors would also like to thank the editor and reviewers that provided insightful feedbacks, which resulted in the improvement of the quality and content of this paper. This study is part of a research project (ER029- 2011A) that is funded by the Ministry of Higher Education (MOHE) Malaysia.

References

Adamowski, K., and Bougadis, J. (2003). “Detection of trends in annual extreme rainfall.” Hydrol. Proces., 17(18), 3547–3560.
Anderson, T. W., and Darling, D. A. (1954). “A test of goodness of fit.” J. Am. Stat. Assoc., 49(268), 765–769.
Balistrocchi, M., and Bacchi, B. (2011). “Modelling the statistical dependence of rainfall event variables by a trivariate copula function.” Hydrol. Earth Syst. Sci. Discuss., 8(1), 429–481.
Beguería, S. (2005). “Uncertainties in partial duration series modelling of extremes related to the choice of the threshold value.” J. Hydrol., 303(1–4), 215–230.
Ben-Zvi, A. (2009). “Rainfall intensity-duration-frequency relationships derived from large partial duration series.” J. Hydrol., 367(1–2), 104–114.
Ben-Zvi, A., and Azmon, B. (1997). “Joint use of L-moment diagram and goodness-of-fit test: A case study of diverse series.” J. Hydrol., 198(1–4), 245–259.
Bernard, M. M. (1932). “Formulas for rainfall intensities of long durations.” Trans. ASCE, 96(1), 592–606.
Branham, T. L., and Behera, P. K. (2010). “Development of a rainfall statistical analysis tool for analytical probabilistic models for urban stormwater management analysis.” World Environmental and Water Resources Congress 2010, ASCE, Reston, VA, 3281–3290.
Chang, K. B., Lai, S. H., and Othman, F. (2013). “RainIDF: Automated derivation of rainfall intensity-duration-frequency relationship from annual maxima and partial duration series.” J. Hydroinf., 15(4), 1224–1233.
Cunnane, C. (1989). “Statistical distributions for flood frequency analysis.”, World Meteorological Organization, Geneva, Switzerland.
De Michele, C., Zenoni, E., Pecora, S., and Rosso, R. (2011). “Analytical derivation of rain intensity-duration–area-frequency relationships from event maxima.” J. Hydrol., 399(3–4), 385–393.
DID (Department of Irrigation and Drainage). (2000). Urban storm water management manual for Malaysia, Kuala Lumpur, Malaysia.
DID (Department of Irrigation and Drainage). (2012). Urban Stormwater management manual for Malaysia, 2nd Ed., Kuala Lumpur, Malaysia.
Dunkerley, D. (2008). “Identifying individual rain events from pluviograph records: A review with analysis of data from an Australian dryland site.” Hydrol. Process., 22(26), 5024–5036.
Gumbel, E. J. (1941). “The return period of flood flows.” Ann. Math. Stat., 12(2), 163–190.
Gumbel, E. J. (1954). “Statistical theory of extreme values and some practical applications.”, U.S. Dept. of Commerce, National Bureau of Standards.
Guo, Y., and Adams, B. J. (1998). “Hydrologic analysis of urban catchments with event-based probabilistic models: 1. Runoff volume.” Water Resour. Res., 34(12), 3421–3431.
Guo, Y., and Baetz, B. (2007). “Sizing of rainwater storage units for green building applications.” J. Hydrol. Eng., 197–205.
Haile, A. T., Rientjes, T., Habib, E., and Jetten, V. (2010). “Rain event properties and dimensionless rain event hyetographs at the source of the Blue Nile River.” Hydrol. Earth Syst. Sci. Discuss., 7(4), 5805–5849.
Haile, A. T., Rientjes, T. H. M., Habib, E., Jetten, V., and Gebremichael, M. (2011). “Rain event properties at the source of the Blue Nile River.” Hydrol. Earth Syst. Sci., 15(3), 1023–1034.
Heneker, T. M., Lambert, M. F., and Kuczera, G. (2001). “A point rainfall model for risk-based design.” J. Hydrol., 247(1–2), 54–71.
Hosking, J. R. M., and Wallis, J. R. (1997). Regional frequency analysis, Cambridge University Press, Cambridge, U.K.
Katz, R. W., Parlange, M. B., and Naveau, P. (2002). “Statistics of extremes in hydrology.” Adv. Water Res., 25(8–12), 1287–1304.
Koutsoyiannis, D., and Baloutsos, G. (2000). “Analysis of a long record of annual maximum rainfall in Athens, Greece, and design rainfall inferences.” Nat. Hazards, 22(1), 29–48.
Koutsoyiannis, D., Demosthenes, K., and Manetas, A. (1998). “A mathematical framework for studying rainfall intensity-duration–frequency relationships.” J. Hydrol., 206(1–2), 118–135.
Kuo, Y.-M., Chu, H.-J., Pan, T.-Y., and Yu, H.-L. (2011). “Investigating common trends of annual maximum rainfalls during heavy rainfall events in southern Taiwan.” J. Hydrol., 409(3–4), 749–758.
Madsen, H., Arnbjerg-Nielsen, K., and Mikkelsen, P. S. (2009). “Update of regional intensity-duration–frequency curves in Denmark: Tendency towards increased storm intensities.” Atmos. Res., 92(3), 343–349.
Madsen, H., Mikkelsen, P. S., Rosbjerg, D., and Harremoës, P. (2002). “Regional estimation of rainfall intensity-duration-frequency curves using generalized least squares regression of partial duration series statistics.” Water Resour. Res., 38(11), 21-1–21-11.
Madsen, H., Rasmussen, P. F., and Rosbjerg, D. (1997). “Comparison of annual maximum series and partial duration series methods for modeling extreme hydrologic events: 1. At-site modeling.” Water Resour. Res., 33(4), 747–757.
Millington, N., Das, S., and Simonovic, S. P. (2011). “The comparison of GEV, log-Pearson type 3 and Gumbel distributions in the Upper Thames River watershed under global climate models.”, Facility for Intelligent Decision Support, Dept. of Civil and Environmental Engineering, Univ. of Western Ontario, London, Canada.
Overeem, A., Buishand, A., and Holleman, I. (2008). “Rainfall depth-duration-frequency curves and their uncertainties.” J. Hydrol., 348(1–2), 124–134.
Palynchuk, B., and Guo, Y. (2008). “Threshold analysis of rainstorm depth and duration statistics at Toronto, Canada.” J. Hydrol., 348(3–4), 535–545.
Pham, H. X., Shamseldin, A. Y., and Melville, B. (2014). “Statistical properties of partial duration series: Case study of North Island, New Zealand.” J. Hydrol. Eng., 807–815.
Powell, D., Khan, A., Aziz, N., and Raiford, J. (2007). “Dimensionless rainfall patterns for South Carolina.” J. Hydrol. Eng., 130–133.
Rowinski, P. M., Strupczewski, W. G., and Singh, V. P. (2002). “A note on the applicability of log-Gumbel and log-logistic probability distributions in hydrological analyses: I. Known PDF.” Hydrol. Sci. J., 47(1), 107–122.
Shamsudin, S., Dan’azumi, S., and Aris, A. (2010). “Effect of storm separation time on rainfall characteristics—A case study of Johor, Malaysia.” Eur. J. Sci. Res., 45(2), 162–167.
Shin, H. (2009). “Uncertainty assessment of quantile estimators based on the generalized logistic distribution.” Ph.D. dissertation, Yonsei Univ., Seoul.
Stephens, M. A. (1977). “Goodness of fit for the extreme value distribution.” Biometrika, 64(3), 583–588.
Stephens, M. A. (1986). “Tests based on EDF statistics.” Goodness-of-fit techniques, R. B. D’Agostino and M. A. Stephens, eds., Decker, New York, 97–193.
Suhaila, J., Jemain, A. A., Hamdan, M. F., and Wan Zin, W. Z. (2011). “Comparing rainfall patterns between regions in Peninsular Malaysia via a functional data analysis technique.” J. Hydrol., 411(3–4), 197–206.
Trenberth, K. E. (2011). “Changes in precipitation with climate change.” Clim. Res., 47(1–2), 123–138.
Van de Vyver, H., and Demarée, G. R. (2010). “Construction of intensity-duration–frequency (IDF) curves for precipitation at Lubumbashi, Congo, under the hypothesis of inadequate data.” Hydrol. Sci. J., 55(4), 555–564.
Villarini, G., Smith, J. A., Baeck, M. L., Vitolo, R., Stephenson, D. B., and Krajewski, W. F. (2011). “On the frequency of heavy rainfall for the midwest of the United States.” J. Hydrol., 400(1–2), 103–120.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 21Issue 1January 2016

History

Received: Sep 10, 2014
Accepted: May 13, 2015
Published online: Jun 29, 2015
Discussion open until: Nov 29, 2015
Published in print: Jan 1, 2016

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Authors

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Kian Boon Chang
M.Eng.Sc. Student, Dept. of Civil Engineering, Faculty of Engineering Building, Univ. of Malaya, 50603 Kuala Lumpur, Malaysia.
Sai Hin Lai [email protected]
Associate Professor, Dept. of Civil Engineering, Faculty of Engineering Building, Univ. of Malaya, 50603 Kuala Lumpur, Malaysia (corresponding author). E-mail: [email protected]
Faridah Othman
Associate Professor, Dept. of Civil Engineering, Faculty of Engineering Building, Univ. of Malaya, 50603 Kuala Lumpur, Malaysia.

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