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
Views 2787      Downloads 169
Authors
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
Article Tools
Follow on us
Abstract
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.
Keywords
Probability Distribution, Rank, Water Level, Discharge, Dhaka City
To cite this article
Sarfaraz Alam, 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. doi: 10.11648/j.wros.20140303.11
References
[1]
Bari MF and Sadek S., Regionalization of low-flow frequency estimates for rivers in northwest Bangladesh, FRIEND 2002—Regional Hydrology: Bridging the Gap between Research and Practice (Proceedings of the fourth International FRIEND Conference held at Cape Town. South Africa. March 2002). IAHS Publ. no. 274.
[2]
Betül Saf (2009), Regional Flood Frequency Analysis Using L-Moments for the West Mediterranean Region of Turkey , Water Resour Manage 23:531–551 DOI 10.1007/s11269-008-9287-z
[3]
Bobee B, Cavidas G, Ashkar F, Bernier J, Rasmussen P (1993) Towards a systematic approach to comparing distributions used in flood frequency analysis. J Hydrol 142:121–136
[4]
Coulson CH (1991) Manual of operational hydrology in B.C., 2nd edn. B.C. Water Management Division, Hydrology Section, Ministry of Environment, Lands and Parks, BC, Canada
[5]
Cunanne C (1973) A particular comparison of annual maxima and partial duration series methods of flood frequency prediction. J Hydrol 18:257–271
[6]
Cunnane C (1989) Statistical distributions for flood frequency analysis. WMO No. 718, WMP, Geneva
[7]
Ferdows M and Hossain M (2005), Flood Frequency Analysis at Different Rivers in Bangladesh: A Comparison Study on Probabilitv Distribution Functions, Thammasat Int. J. Sc. Tech., Vol. 10, No. 3, 53-62
[8]
Haddad K. and Rahman A. (2010). Selection of the best fit flood frequency distribution and parameter estimation procedure: a case study for Tasmania in Australia, Stoch Environ Res Risk Assess (2011) 25, DOI 10.1007/s00477-010-0412-1, 415–428
[9]
Haigh M.J. (2004). Sustainable management of headwater resources: the Nairobi ‘headwater’ declaration (2002) and beyond. Asian Journal of Water, Environment and Pollution, Vol. 1, No. 1-2, 17–28.
[10]
Karn S.K. and Harada, H. (2001). Surface water pollution in three urban territories of Nepal, India, and Bangladesh. Environmental Management, Vol. 28, No. 4, 483–496
[11]
Karim MA and Chowdhury JA. (1995) A comparison of four distributions used in flood frequency analysis in Bangladesh, Hydrological Sciences Journal, 40:1, 55-66, DOI: 10.1080/02626669509491390
[12]
Laio F, Di Baldassarre G, Montanari A (2009) Model selection techniques for the frequency analysis of hydrological extremes. Water Resour Res 45:W07416. doi:10.1029/2007/WR006666
[13]
Markiewicz I, Strupczewski WG, Kochanek K, Singh V (2006) Discussion of Non-stationary pooled flood frequency analysis. J Hydrol 276:210–223
[14]
Mitosek HT, Strupczewski WG, Singh VP (2006) Three procedures for selection of annual flood peak distribution. J Hydrol 323: 57–73
[15]
Rahman AS., Rahman A., Zaman MA., Haddad K., Ahsan A., Imteaz M. (2013), A study on selection of probability distributions for at-site flood frequency analysis in Australia, Nat Hazards (2013) 69:1803–1813 DOI 10.1007/s11069-013-0775-y
[16]
Rahman S. and Hossain, F., (2007). Spatial Assessment of Water Quality in Peripheral Rivers of Dhaka City for Optimal Relocation of Water Intake Point. Water Resources Management, Vol. 1, No. 22, 377-391.
[17]
Rakesh Kumar and Chandranath Chatterjee,(2005), Regional Flood Frequency Analysis Using L-Moments for North Brahmaputra Region of India, J. Hydrol. Eng, ASCE, Vol. 10, No. 1, 1-7, DOI:10.1061/(ASCE)1084-0699(2005)10:1(1)
[18]
Stedinger JR (1980) Fitting lognormal distributions to hydrologic data. Water Resour Res 16(3):481–490
[19]
Stedinger JR, Vogel RM, Foufoula-Georgiou E (1992) Frequency analysis of extreme events. In: Maidment DR (ed) Handbook of hydrology. McGraw-Hill, New York
[20]
Vogel RM, McMahon TA, Chiew FHS (1993) Flood flow frequency model selection in Australia. J Hydrol 146(421):449
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186