CASE STUDIES
Apr 18, 2011

Application of Clustering Techniques Using Prioritized Variables in Regional Flood Frequency Analysis—Case Study of Mahanadi Basin

Publication: Journal of Hydrologic Engineering
Volume 17, Issue 1

Abstract

The selection of suitable site characteristics and the number of clusters play an important role for finding homogeneous regions in regional flood frequency analysis. The present study investigates the partition of the Mahanadi basin into homogeneous regions by applying different clustering techniques by using fewer but influential variables. As such, the entire basin is not hydrometeorologically homogeneous. Principal component analysis has been initiated in finding appropriate site characteristics (variables) as per priority. Out of seven variables, four variables are selected on priority. Possible numbers of cluster are found by applying the Kohonen self-organization map and Andrews plot. Other clustering techniques, such as hierarchical clustering fuzzy C-mean (FCM) and K -mean, are applied on prioritized variables to verify the result of clustering. The intercomparison of clustering techniques gives the optimum number of sites to be placed in a particular cluster. The sites clustered as per FCM give more homogenous results. The entire basin is divided into two homogeneous clusters. The regional L-moment algorithm is used to test the homogeneity and to identify an appropriate underlying frequency distribution. An index flood is also stated relating to catchment characteristics by using the multiple linear regression approach. The results are compared with the previous studies of flood frequency on this basin. The study faces the limitation of less data availability to predict longer return period values ( QT ).

Get full access to this article

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

References

Acreman, M. C., and Sinclair, C. D. (1986). “Classification of drainage basins according to their physical characteristics: An application for flood frequency analysis in Scotland.” J. Hydrol. (Amsterdam), 84(3–4), 365–380.
Andrews, D. F. (1972). “Plots of high dimensional data.” Biometrics, 28(1), 125–136.
Beaulieu, C., Seidou, O., Ourada, T. B. M. J., and Zhang, X. (2009). “Inter-comparison of homogenization techniques for precipitation data continued: Comparison of two recent Bayesian change point models.” Water Resour. Res., 45(8), 15.
Berger, K. P., and Entekhabi, D. (2001). “Basin hydrologic response relations to distributed physiographic descriptors and climate.” J. Hydrol. (Amsterdam), 247(3–4), 169–182.
Bezdek, J. C. (1981). Pattern recognition with fuzzy objective function algorithms, Plenum, New York.
Borujeni, S. C., Sulaiman, W. N. A., and Eslamian, S. (2010). “Regional flood frequency analysis using L-moments for North Karoon basin, Iran.” J. Flood Eng., 1(1), 67–76.
Brath, A., Castellarin, A., Franchin, M., and Galeati, G. (2001). “Estimating the index flood using indirect method.” Hydrol. Sci. J., 46(3), 399–418.
Bullock, A. (1988). “Dambos and discharge in central Zimbabwe.” Ph.D. thesis, Univ. of Southampton, Southampton, UK.
Burn, D. H. (1989). “Cluster analysis as applied to regional flood frequency.” J. Water Resour. Plann. Manage., 115(5), 567–582.
Burn, D. H., and Goel, N. K. (2000). “The formation of group for regional flood frequency analysis.” Hydrol. Sci. J., 45(1), 97–112.
Chavoshi, S., and Soleiman, W. N. A. (2009). “Delineating pooling group for flood frequency analysis using soft computing.” Eur. J. Sci. Res., 35(2), 181–187.
Chowdhary, A. K. (2005). “Regional flood frequency analysis: A case study of Mahanadi basin.” Proc., Global Conf. on Flexible Systems Management, Global Institute of Flexible Systems Management, Bhopal, India, 456–461.
DeCoursey, D. G. (1973). “Objective regionalization of peak flow rates, in flood and droughts.” Proc., 2nd Int. Symp. in Hydrology, E. F. Koelzer and K. Mahmood, eds., Water Resources Publications, Fort Collins, CO, 395–405.
Decoursey, D. G., and Deal, R. B. (1974). “General aspects of multivariate analysis with application to some problems in hydrology.” Proc., Symp. on Statistical Hydrology, USDA Agricultural Research Service, Washington, DC, 47–68.
Eslamian, S. S., and Biabanaki, M. (2008). “Low flow regionalization modeling.” Int. J. Ecol. Econ. Stat., 12(F08), 82–97.
Eslamian, S. S., and Feizi, H. (2007). “Maximum monthly rainfall analysis using L-moments for an arid region in Isfahan province, Iran.” J. Appl. Meteor. Climatol., 46(4), 494–503.
Fovell, R. G., and Fovell, M. Y. C. (1993). “Climate zones of the conterminous United States using cluster analysis.” J. Clim., 6(11), 2103–2135.
Gupta, P. N. (1980). “Regional flood frequency analysis approach-estimation of peak floods for Mahanadi basin (sub zone 3d).” Indian Railway Technical Bulletin, February, 29–39.
Hall, M. J., and Minns, A. W. (1999). “The classification of hydrologically homogeneous regions.” Hydrol. Sci. J., 44(5), 693–704.
Hamerly, G., and Elkan, C. (2002). “Alternatives to the k -means algorithm that find better clusterings.” Proc., 11th Int. Conf. on Information and Knowledge Management, K. Kalpakis, N. Goharian, and D. Grossmann, eds., ACM, New York, 600–607.
Hosking, J. R. M. (1986). “L-moments: Analysis and estimation of the theory of probability weighted moments.” Research Rep. RC 12210, IBM Research Division, Yorktown Heights, NY.
Hosking, J. R. M. (1990). “L-moments: Analysis and estimation of distribution using linear combinations of order statistics.” J. R. Statist. Soc. B, 52(1), 105–124.
Hosking, J. R. M., and Wallis, J. R. (1993). “Some statistics useful in regional frequency analysis.” Water Resour. Res., 29(2), 271–282.
Hosking, J. R. M., and Wallis, J. R. (1997). “Regional frequency analysis: An approach based on L-moments.” Cambridge University Press, Cambridge, UK.
Jingyi, Z., and Hall, M. J. (2004). “Regional flood frequency analysis for the Gan-Ming river basin in China.” J. Hydrol. (Amsterdam), 296(1–4), 98–117.
Kaiser, H. F. (1960). “The application of electronic computers to factor analysis.” Educ. Psychol. Meas., 20(1), 141–151.
Kiang, M. Y., Kulkarni, U. R., Goul, M. R., Philppakkis, A., Chi, R. T., and Turban, E. (1997). “Improving the effectiveness of self organization map networks using a circular Kohonen layer.” 30th Hawaii Int. Conf. on System Sciences, Univ. of Hawaii, 5, 521–529.
Kohonen, T. (1997). Self organisation map, 2nd Ed., Springer, Berlin.
Kumar, R., and Chatterjee, C. (2005). “Regional flood frequency analysis using L-moment for North Brahmaputra region of India.” J. Hydrol. Eng., 10(1), 1–7.
Kumar, R., Chatterjee, C., Kumar, S., Lohani, A. K., and Singh, R. D. (2003). “Development of regional flood frequency relationships using L-moments for Middle Ganga Plains Subzone 1(f) of India.” Water Resour. Manage., 17(4), 243–257.
Kumar, R., Singh, R. D., and Seth, S. M. (1999). “Regional flood formula for seven subzones of India.” J. Hydrol. Eng., 4(3), 240–244.
Lim, Y. H., and Lye, L. M. (2003). “Regional flood estimation for ungauged basins in Sarawak, Malaysia.” Hydrol. Sci. J., 48(1), 79–94.
MacQueen, J. B. (1967). “Some methods for classification of multivariate observation.” Proc., 5th Berkeley Symp. on Probability and Statistics, University of California Press, Berkley, CA, 281–297.
Malekinezhad, H., Nachtnebel, H. P., and Klik, A. (2011). “Comparing the index-flood and multiple-regression method using L-moments.” Phys. Chem. Earth, 36(1–4), 54–60.
Mosley, M. P. (1981). “Delineation of New Zealand hydrologic regions.” J. Hydrol. (Amsterdam), 49(1–2), 173–192.
Nathan, R. J., and McMahon, T. A. (1990). “Identification of homogeneous regions for the purpose of regionalization.” J. Hydrol. (Amsterdam), 121(1–4), 217–238.
National Institute of Hydrology. (1997). “Regional flood frequency analysis using L-moment.” Technical Rep. TR(BR), Roorkee, India.
National Environment Research Council (NERC). (1975). “Flood studies report.” London.
Parida, B. P. (2004). “A partitioning methodology for identification of homogeneous regions in regional flood frequency analysis.” Proc., BALWOIS Conf., Ohrid, Republic of Macedonia.
Pitlick, J. (1994). “Relation between peak flows, precipitation, and physiography for five mountainous regions in the western USA.” J. Hydrol. (Amsterdam), 158(3–4), 219–240.
Rao, A. R., and Hamed, H. K. (2000). Flood frequency analysis, CRC, Boca Raton, FL.
Rao, A. R., and Srinivas, V. V. (2006). “Regionalisation of watersheds by fuzzy cluster analysis.” J. Hydrol. (Amsterdam), 318(1–4), 57–79.
Robson, A., and Reed, D. (1999). “Statistical procedure for flood frequency estimation.” Flood estimation handbook, Centre for Ecology & Hydrology, Wallingford, UK.
Sarkar, S., Goel, N. K., and Mathur, B. S. (2010). “Development of iso-pluvial map using L-moment approach for Tehri—Garhwal Himalaya.” Stoch. Environ. Res. Risk Assess., 24(3), 411–423.
Singh, R. D., and Seth, S. M. (1985) “Regional flood frequency analysis for Mahanadi basin using Wakeby distribution.” Proc., Seminar on Flood Frequency Analysis, New Delhi.
Stambuk, A., Stambuk, N., and Konjevoda, P. (2007). “Application of Kohonen self-organising maps (SOM) based clustering for the assessment of religious motivation.” 29th Int. Conf. on Information Technology Interfaces, 87–91.
Stedinger, J. R., Vogel, R. M., and Foufoula, G. E. (1992). “Frequency analysis of extreme events.” Chapter 18, Handbook of hydrology, D. Maidment, ed., McGraw Hill, New York.
Tasker, G. D. (1982). “Comparing methods of hydrologic regionalization.” Water Resour. Bull., 18(6), 965–970.
Thandeveswara, B. S., and Sajjikumar, N. (2000). “Discussion on classification of river basins using artificial neural network.” J. Hydrol. Eng., 5(3), 290–298.
Vogel, R. M., and Kroll, C. N. (1992). “Regional geohydrologic-geomorphic relationships for estimation of low flow statistics.” Water Resour. Res., 28(9), 2451–2458.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 17Issue 1January 2012
Pages: 213 - 223

History

Received: Aug 10, 2010
Accepted: Apr 15, 2011
Published online: Apr 18, 2011
Published in print: Jan 1, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

Anil Kumar Kar [email protected]
Assistant Engineer, Dept. of Water Resources, Government of Orissa, Bhubaneswar, India; formerly, Research Scholar, Dept. of Hydrology, Indian Institute of Technology, Roorkee, Uttarakhand 247667, India (corresponding author). E-mail: [email protected]
N. K. Goel, Ph.D.
Professor, Dept. of Hydrology, Indian Institute of Technology, Roorkee, Uttarakhand 247667, India.
A. K. Lohani, Ph.D.
Scientist, National Institute of Hydrology, Roorkee, India.
G. P. Roy
Deputy Director, FMIS Cell, Dept. of Water Resources, Government of Orissa, Bhubaneswar, India.

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