Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City
Journal of Water Resources and Ocean Science
Volume 3, Issue 3, June 2014, Pages: 30-37
Received: Jun. 26, 2014;
Accepted: Jul. 8, 2014;
Published: Jul. 20, 2014
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Sarfaraz Alam, Department of Water Resources Engineering, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh
Muhammad Sabbir Mostafa Khan, Department of Water Resources Engineering, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh
Selection of appropriate probability distribution function is one of the most important steps of frequency analysis. Due to the existence of large number of distributions, hydrologists follow different methods to select the best one. In this paper, annual maximum, minimum water level and discharge of five peripheral rivers, namely Buriganga, Turag, Tongi, Balu and Lakhya around Dhaka city have been analyzed to compute the basic statistics and fit them with sixty two probability density functions (PDF). Three goodness-of-fit (GoF) statistics, namely Chi-square, Kolmogorov–Smirnov and Anderson Darling were used to rank each of the distribution. Furthermore, ranks obtained from three GoF were used to compute overall rank of all distributions for each hydrologic parameter. The study reveals that, four different distributions were found best fit for four extreme cases. Dagum (4P) and Chi-square (2P) fit best for annual maximum and minimum water level respectively, whereas Cauchy and Johnson SB were found for annual maximum and minimum discharge respectively. Moreover, ranks of frequently used distributions, namely General Extreme Value (GEV), Log-Pearson III (LP3), Log-normal (LN) and Gumbels were compared with the best fit distributions and did not give satisfactory results. The method used in this study would be helpful for flood frequency analysis of other rivers of Bangladesh. This may also be used for evaluation of best fit distribution of river system for other countries as well.
Muhammad Sabbir Mostafa Khan,
Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City, Journal of Water Resources and Ocean Science.
Vol. 3, No. 3,
2014, pp. 30-37.
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