Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City

Sarfaraz Alam; Muhammad Sabbir Mostafa Khan

doi:doi:10.11648/j.wros.20140303.11

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Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City

Sarfaraz Alam, Muhammad Sabbir Mostafa Khan

Published in Journal of Water Resources and Ocean Science (Volume 3, Issue 3)

Received: 26 June 2014 Accepted: 8 July 2014 Published: 20 July 2014

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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.

Published in	Journal of Water Resources and Ocean Science (Volume 3, Issue 3)
DOI	10.11648/j.wros.20140303.11
Page(s)	30-37
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Probability Distribution, Rank, Water Level, Discharge, Dhaka City

References

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[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

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Sarfaraz Alam, Muhammad Sabbir Mostafa Khan. (2014). Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City. Journal of Water Resources and Ocean Science, 3(3), 30-37. https://doi.org/10.11648/j.wros.20140303.11

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ACS Style

Sarfaraz Alam; Muhammad Sabbir Mostafa Khan. Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City. J. Water Resour. Ocean Sci. 2014, 3(3), 30-37. doi: 10.11648/j.wros.20140303.11

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AMA Style

Sarfaraz Alam, Muhammad Sabbir Mostafa Khan. Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City. J Water Resour Ocean Sci. 2014;3(3):30-37. doi: 10.11648/j.wros.20140303.11

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@article{10.11648/j.wros.20140303.11,
  author = {Sarfaraz Alam and Muhammad Sabbir Mostafa Khan},
  title = {Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City},
  journal = {Journal of Water Resources and Ocean Science},
  volume = {3},
  number = {3},
  pages = {30-37},
  doi = {10.11648/j.wros.20140303.11},
  url = {https://doi.org/10.11648/j.wros.20140303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20140303.11},
  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.},
 year = {2014}
}

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TY  - JOUR
T1  - Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City
AU  - Sarfaraz Alam
AU  - Muhammad Sabbir Mostafa Khan
Y1  - 2014/07/20
PY  - 2014
N1  - https://doi.org/10.11648/j.wros.20140303.11
DO  - 10.11648/j.wros.20140303.11
T2  - Journal of Water Resources and Ocean Science
JF  - Journal of Water Resources and Ocean Science
JO  - Journal of Water Resources and Ocean Science
SP  - 30
EP  - 37
PB  - Science Publishing Group
SN  - 2328-7993
UR  - https://doi.org/10.11648/j.wros.20140303.11
AB  - 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.
VL  - 3
IS  - 3
ER  -

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Author Information

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

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APA Style

Sarfaraz Alam, Muhammad Sabbir Mostafa Khan. (2014). Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City. Journal of Water Resources and Ocean Science, 3(3), 30-37. https://doi.org/10.11648/j.wros.20140303.11

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ACS Style

Sarfaraz Alam; Muhammad Sabbir Mostafa Khan. Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City. J. Water Resour. Ocean Sci. 2014, 3(3), 30-37. doi: 10.11648/j.wros.20140303.11

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AMA Style

Sarfaraz Alam, Muhammad Sabbir Mostafa Khan. Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City. J Water Resour Ocean Sci. 2014;3(3):30-37. doi: 10.11648/j.wros.20140303.11

Copy | Download

@article{10.11648/j.wros.20140303.11,
  author = {Sarfaraz Alam and Muhammad Sabbir Mostafa Khan},
  title = {Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City},
  journal = {Journal of Water Resources and Ocean Science},
  volume = {3},
  number = {3},
  pages = {30-37},
  doi = {10.11648/j.wros.20140303.11},
  url = {https://doi.org/10.11648/j.wros.20140303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20140303.11},
  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.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Statistical Characterization of Extreme Hydrologic Parameters for the Peripheral River System of Dhaka City
AU  - Sarfaraz Alam
AU  - Muhammad Sabbir Mostafa Khan
Y1  - 2014/07/20
PY  - 2014
N1  - https://doi.org/10.11648/j.wros.20140303.11
DO  - 10.11648/j.wros.20140303.11
T2  - Journal of Water Resources and Ocean Science
JF  - Journal of Water Resources and Ocean Science
JO  - Journal of Water Resources and Ocean Science
SP  - 30
EP  - 37
PB  - Science Publishing Group
SN  - 2328-7993
UR  - https://doi.org/10.11648/j.wros.20140303.11
AB  - 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.
VL  - 3
IS  - 3
ER  -

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