Technical Notes
May 26, 2012

Regional Extreme Rainfall Mapping for Bangladesh Using L-Moment Technique

Publication: Journal of Hydrologic Engineering
Volume 18, Issue 5

Abstract

Bangladesh is a flood prone country where huge damages take place every year. Therefore, to minimize flood extremes, it is important to control the flood peaks at the upstream area through suitable watershed management practices. The flood control management at the watershed scale requires good quality flood data. However, in developing countries like Bangladesh, such hydrological information is rarely available at the watershed level. Under such circumstances, it is important to use a hydrological model representing the rainfall-runoff process to arrive at the extreme flows in the rivers, which require extreme rainfall data as a major inflow to the hydrologic system. Furthermore, the density of rain gauges in Bangladesh is low and the quality of available flood data is poor. Considering this, it is important to develop regional extreme rainfall maps for the reliable estimation of flood flows in the river by using a suitable modeling approach. Therefore, in the present paper, an attempt has been made to derive the regional best fit extreme rainfall pattern for Bangladesh for the estimation of extreme rainfall quantiles. This study uses the annual maximum daily rainfall of 68 rain gauge stations. An autocorrelation test is applied to test the independency of the data. Later, considering the heterogeneity in the hydroclimatic and topographic details, entire rain gauge stations have been clustered into six hydroclimatically homogeneous regions; namely, northeast (NE), northwest (NW), southeast (SE), southwest (SW), coastal, and central regions, by using the k-mean clustering technique. The stations that did not pass the discordant and heterogeneity test were discarded from the regional frequency analysis. For regional frequency analysis, the L-moment method was applied. Based on the ZDIST goodness of fit test and the L-moment ratio diagram, the generalized extreme values distribution was identified as the best fit for the SE, NW, and coastal regions. However, for NE, central, SW regions, the best fit distributions were generalized logistic and generalized Pareto, respectively. Using the derived distributions, regional extreme rainfall quantiles were estimated, followed by geo-mapping in ArcGIS 9.2.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors wish to thank Flood Forecasting Warning Centre (FFWC) of Bangladesh Water Development Board (BWDB) for the data used in this study.

References

Alila, Y. (1999). “A hierarchical approach for the regionalization of precipitation annual maxima in Canada.” J. Geophys. Res., 104(D24), 31645–31655.
ArcGIS 9.2 [Computer software]. Esri, Redlands, CA.
Atiem, I. A., and Harmancioğlu, N. B. (2006). “Assessment of regional floods using L-moments approach: The case of the river Nile.” Water Resour. Manage., 20(5), 723–747.
Balasko, B., Abonyi, J., and Feil, B. (2008). “Fuzzy clustering and data analysis toolbox: For use with MATLAB.” 〈http://www.pudn.com/downloads54/sourcecode/math/detail187949.html〉 (Nov. 20, 2008).
Di Baldassarre, G., Castellarin, A., and Brath, A. (2006). “Relationships between statistics of rainfall extremes and mean annual precipitation: An application for design-storm estimation in northern central Italy.” Hydrol. Earth Syst. Sci., 10(4), 589–601.
Eslamian, S., and Feizi, H. (2007). “Maximum monthly rainfall analysis using L-moments for an arid region in Isfahan Province, Iran.” J. Appl. Meteorol. Clim., 46(4), 494–503.
Eslamian, S., Hassanzadeh, H., Abedi-Koupai, J., and Gheysari, M. (2012). “Application of L-moments for regional frequency analysis of monthly drought indices.” J. Hydrol. Eng., 17(1), 32–42.
Goswami, P., and Ramesh, K. V. (2008). “Extreme rainfall events: Vulnerability analysis for disaster management and observation system design.” Curr. Sci., 94(8), 1037–1044.
Greenwood, J. A., Landwehr, J. M., Metalas, N. C., and Wallis, J. R. (1979). “Probability weighted moments: Definition and relation of parameters of several distributions expressible in inverse form.” Water Resour. Res., 15(5), 1049–1054.
Han, J., and Kamber, M. (2006). Data mining: Concepts and techniques, 2nd Ed., Morgan Kaufmann Publishers, Burlington, MA.
Hosking, J. R. M. (1986). “The theory of probability weighted moments.”, IBM Research Division, T. J. Watson Research Center, Yorktown Heights, NY.
Hosking, J. R. M. (1990). “L-moments: Analysis and estimation of distributions using linear combination of order statistics.” J. Roy. Stat. Soc. B Stat. Meth., 52(2), 105–124.
Hosking, J. R. M. (1991). “Approximations for use in constructing L-moment ratio diagrams.”, IBM Research Division, T.J. Watson Research Center, Yorktown Heights, NY.
Hosking, J. R. M. (2005). “FORTRAN routines for use with the method of L-moments.” Version 3.04, IBM Research Division, T. J. Watson Research Center, Yorktown Heights, NY.
Hosking, J. R. M., and Wallis, J. R. (1993). “Some statistics useful in regional frequency analysis.” Water Resour. Res., 29(2), 271–281.
Hosking, J. R. M., and Wallis, J. R. (1997). Regional frequency analysis—An approach based on L-moments, Cambridge University Press, New York.
Kardi, T. (2006). “K-means clustering tutorials.” 〈http://people.revoledu.com/kardi/tutorial/kMean/index.html〉 (Nov. 20, 2008).
Kelway, P. S. (1974). “A scheme for assessing the reliability of interpolated rainfall estimates.” J. Hydrol., 21(3), 247–267.
Lam, N. S. (1983). “Spatial interpolation methods: A review.” Cartography Geog. Inf. Sci., 10(2), 129–150.
Mielke, P. W., Jr., and Johnson, E. S. (1974). “Some generalized beta distributions of the second kind having desirable application features in hydrology and meteorology.” Water Resour. Res., 10(2), 223–226.
“Mindless hill-cutting caused mudslide.” (2007). The Daily Star, 7 (Jun. 12).
Modarres, R. (2007). “Regional frequency distribution type of low flow in North of Iran by L-moments.” Water Resour. Manage., 22(7), 823–841.
National Oceanic, and Atmospheric Administration (NOAA). (1972). “National Weather Service river forecast system forecast procedures.” TM NWS HYDRO-14, U.S. Dept. of Commerce, Washington, DC.
National Oceanic, and Atmospheric Administration (NOAA). (2008). “Climate prediction center: South Asia short term forecasts.” 〈http://www.cpc.noaa.gov/products/fews/SASIA/forecast.shtml〉 (Sep. 05, 2008).
Nielsen-Gammon, J. W., and Strack, J. (2000). “Model resolution dependence of simulations of extreme rainfall events.” 10th Penn State/NCAR MM5 Users’ Workshop Mesa Laboratory, National Center for Atmospheric Research, Boulder, CO.
Ogunlela, A. O. (2001). “Stochastic analysis of rainfall events in Ilorin, Nigeria.” J. Agric. Res. Dev., 1(1), 39–50.
Rao, A. R., and Hamed, K. (2000). Flood frequency analysis, CRC Press, Boca Raton, FL.
Robson, A., and Reed, D. (1999). Flood estimation handbook: Statistical procedure for flood frequency estimation, Vol. 3, Institute of Hydrology, UK.
Saf, B. (2009). “Regional flood frequency analysis using L-moments, for the west Mediterranean region of Turkey.” Water Resour. Manage., 23(3), 531–558.
“Satkhira embankment on Kabodak river washed away: Munshiganj town partially inundated.” (2008). The Daily Star, 3 (Sept. 5).
Schaefer, M. G. (1990). “Regional analyses of precipitation annual maxima in Washington State.” Water Resour. Res., 26(1), 119–131.
Stedinger, J. R., Vogel, R. M., and Foufoula-Georgiou, E. (1993). “Frequency analysis of extreme events.” Handbook of hydrology, D. R. Maidment, ed., McGraw-Hill, New York.
Tawhid, K. G. (2004). “Causes and effects of water logging in Dhaka City, Bangladesh.” TRITA-LWR Master’s Thesis, Dept. of Land and Water Resource Engineering, KTH Royal Institute of Technology, Stockholm, Sweden.
Vogel, R. M., McMahon, T. A., and Chiew, F. H. S. (1993). “Flood flow frequency model selection in Australia.” J. Hydrol., 146, 421–449.
Vogel, R. M., and Wilson, I. (1996). “Probability distribution of annual maximum, mean, and minimum streamflows in the United States.” J. Hydrol. Eng., 1(2), 69–76.
Watson, D. F., and Philip, G. M. (1985). “A refinement of inverse distance weighted interpolation.” Geo-Process., 2, 315–327.
Wilks, D. S. (1993). “Comparison of three-parameter probability distributions for representing annual extreme and partial duration precipitation series.” Water Resour. Res., 29(10), 3543–3549.
World Meteorological Organization (WMO). (2010). “Climate data and monitoring.” WCDMP-No. 74, WMO/TD No. 1554, Regional Workshop on Climate Monitoring and Analysis of Climate Variability: Implementation of Climate Watch System in RA II with Focus on Monsoon Affected Areas, WMO, Geneva, Switzerland (Nov. 10–13, 2009).
Yevjevich, V. (1972). Probability and statistics in hydrology, Water Resources Publications, Fort Collins, CO.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 18Issue 5May 2013
Pages: 603 - 615

History

Received: Oct 19, 2011
Accepted: May 23, 2012
Published online: May 26, 2012
Published in print: May 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Md. Mizanur Rahman [email protected]
Executive Engineer, Bangladesh Water Development Board, Ministry of Water Resources, Bangladesh. E-mail: [email protected]
Assistant Professor, Dept. of Mechanical Engineering and Mining Machinery Engineering, Indian School of Mines, Dhanbad, Jharkhand 826004, India (corresponding author). E-mail: [email protected]
M. Reza Najafi [email protected]
Assistant Professor, Dept. of Irrigation, College of Aboureihan, Univ. of Tehran, Tehran, Iran. E-mail: [email protected]
Principal Water Resources Engineer, DHI (India) Water & Environment Pvt. Ltd., Okhla Industrial Estate Phase III, New Delhi 110020, India. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share