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Flood Frequency Modeling Using Gumbel’s and Powell’s Method for Dudhkumar River

Received: 6 June 2013    Accepted:     Published: 30 June 2013
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Abstract

The results of a study on an international river Dudhkumar (shared by Bhutan, India and Bangladesh) analyzing flood frequency of 14 years using Gumbel and Powell distribution have been presented in this paper. Flash flood occurrence over recent years had washed away fields making vulnerable life safety. It was assumed that, Dudhkmar flood flows obey the Gumbel and Powell distribution. The scale and shape parameters of the distribution were estimated using method of moments. . A Chi-square test results (p =1.000) between observed and predicted flood flows which is considered to be not statistically significant by the conventional criteria. Due to goodness of fit of the Gumbel and Powell distribution, it was assumed to be appropriate for modeling frequency of Dudhkumar River floods. However, the magnitudes of the 100, 200 and 1000 year floods were significantly differed in the two mentioned methods.

Published in Journal of Water Resources and Ocean Science (Volume 2, Issue 2)
DOI 10.11648/j.wros.20130202.13
Page(s) 25-28
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), 2024. Published by Science Publishing Group

Keywords

Dudhkumar River, Flood Frequency Gumbel and Powell Distribution, Recurrence Interval

References
[1] U. N. Ahmad, A. Shabri, and Z. A. Zakaria, "Flood frequency analysis of annual maximum stream flows using L-Moments and TL-Moments." Applied Mathematical Sciences, vol. 5, pp. 243– 253, 2011.
[2] J. R. Stedinger and R. M. Vogel, "Frequency analysis of extreme events." Handbook of Hydrology, chapter 18, McGraw-Hill, New York, 1993.
[3] D. S. Reis and J. R. Stedinger, "Bayesian MCMC flood frequency analysis with historical information." Journal of Hydrology, vol. 313, pp. 97–116, 2005.
[4] M. Khaliq, T. Ouarda, J. Ondo, P. Gachon, and B. Bobée, "Frequency analysis of a sequence of dependent and/or non-stationary hydro-meteorological observations: A review." Journal of Hydrology, vol. 329(3-4), pp. 534–552, 2006.
[5] G. S. Law, and G. D Tasker, "Flood-Frequency prediction methods for unregulated streams of Tennessee." Water Resources Investigations Report 03-4176, Nashville, Tennessee, 2003.
[6] M. Ferdows, M. OTA, R. Jahan , M. Bhuiyan and M. Hossain, "Determination of probability distribution for data on rainfall and flood levels in Bangladesh." , Journal - The Institution of Engineers, Malaysia, vol. 66, pp. 61–72, March 2005
[7] M. Rahman, D. Arya, N. Goel and A. Dhamy, "Design flow and stage computations in the Teesta River, Bangladesh, using frequency analysis and MIKE 11 modeling." Journal of Hydrologic. Engineering.", vol. 16(2), pp. 176–186, 2011.
[8] C. T. Haan, "Statistical Methods in Hydrology." Iowa State University Press, Ames, Iowa. I '. Haefner, Journal of Water, 1997.
[9] S. B. Shaw and S. J.Riha, "Assessing Possible Changes in Flood Frequency Due to Climate Change in Mid-sized Watersheds." School of Civil and Environmental Engineering, Hollister Hall, Cornell University, Ithaca, NY 14853-3501, USA.
[10] N. Mujere, "Flood frequency analysis using the Gumbel distribution." International Journal on Computer Science and Engineering (IJCSE), vol. 3, pp. 2774–2778, July 2011.
Cite This Article
  • APA Style

    Md. Abdullah Asad, Mohammad Ahmeduzzaman, Shantanu Kar, Md. Ashrafuzzaman Khan, Md. Nobinur Rahman, et al. (2013). Flood Frequency Modeling Using Gumbel’s and Powell’s Method for Dudhkumar River. Journal of Water Resources and Ocean Science, 2(2), 25-28. https://doi.org/10.11648/j.wros.20130202.13

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    ACS Style

    Md. Abdullah Asad; Mohammad Ahmeduzzaman; Shantanu Kar; Md. Ashrafuzzaman Khan; Md. Nobinur Rahman, et al. Flood Frequency Modeling Using Gumbel’s and Powell’s Method for Dudhkumar River. J. Water Resour. Ocean Sci. 2013, 2(2), 25-28. doi: 10.11648/j.wros.20130202.13

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    AMA Style

    Md. Abdullah Asad, Mohammad Ahmeduzzaman, Shantanu Kar, Md. Ashrafuzzaman Khan, Md. Nobinur Rahman, et al. Flood Frequency Modeling Using Gumbel’s and Powell’s Method for Dudhkumar River. J Water Resour Ocean Sci. 2013;2(2):25-28. doi: 10.11648/j.wros.20130202.13

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  • @article{10.11648/j.wros.20130202.13,
      author = {Md. Abdullah Asad and Mohammad Ahmeduzzaman and Shantanu Kar and Md. Ashrafuzzaman Khan and Md. Nobinur Rahman and Samiul Islam},
      title = {Flood Frequency Modeling Using Gumbel’s and Powell’s Method for Dudhkumar River},
      journal = {Journal of Water Resources and Ocean Science},
      volume = {2},
      number = {2},
      pages = {25-28},
      doi = {10.11648/j.wros.20130202.13},
      url = {https://doi.org/10.11648/j.wros.20130202.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20130202.13},
      abstract = {The results of a study on an international river Dudhkumar (shared by Bhutan, India and Bangladesh) analyzing flood frequency of 14 years using Gumbel and Powell distribution have been presented in this paper. Flash flood occurrence over recent years had washed away fields making vulnerable life safety. It was assumed that, Dudhkmar flood flows obey the Gumbel and Powell distribution. The scale and shape parameters of the distribution were estimated using method of moments. . A Chi-square test results (p =1.000) between observed and predicted flood flows which is considered to be not statistically significant by the conventional criteria. Due to goodness of fit of the Gumbel and Powell distribution, it was assumed to be appropriate for modeling frequency of Dudhkumar River floods. However, the magnitudes of the 100, 200 and 1000 year floods were significantly differed in the two mentioned methods.},
     year = {2013}
    }
    

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  • TY  - JOUR
    T1  - Flood Frequency Modeling Using Gumbel’s and Powell’s Method for Dudhkumar River
    AU  - Md. Abdullah Asad
    AU  - Mohammad Ahmeduzzaman
    AU  - Shantanu Kar
    AU  - Md. Ashrafuzzaman Khan
    AU  - Md. Nobinur Rahman
    AU  - Samiul Islam
    Y1  - 2013/06/30
    PY  - 2013
    N1  - https://doi.org/10.11648/j.wros.20130202.13
    DO  - 10.11648/j.wros.20130202.13
    T2  - Journal of Water Resources and Ocean Science
    JF  - Journal of Water Resources and Ocean Science
    JO  - Journal of Water Resources and Ocean Science
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    EP  - 28
    PB  - Science Publishing Group
    SN  - 2328-7993
    UR  - https://doi.org/10.11648/j.wros.20130202.13
    AB  - The results of a study on an international river Dudhkumar (shared by Bhutan, India and Bangladesh) analyzing flood frequency of 14 years using Gumbel and Powell distribution have been presented in this paper. Flash flood occurrence over recent years had washed away fields making vulnerable life safety. It was assumed that, Dudhkmar flood flows obey the Gumbel and Powell distribution. The scale and shape parameters of the distribution were estimated using method of moments. . A Chi-square test results (p =1.000) between observed and predicted flood flows which is considered to be not statistically significant by the conventional criteria. Due to goodness of fit of the Gumbel and Powell distribution, it was assumed to be appropriate for modeling frequency of Dudhkumar River floods. However, the magnitudes of the 100, 200 and 1000 year floods were significantly differed in the two mentioned methods.
    VL  - 2
    IS  - 2
    ER  - 

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Author Information
  • Dept. of Civil Engineering, Stamford University Bangladesh, Dhaka 1217, Bangladesh

  • Dept. of Civil Engineering, Stamford University Bangladesh, Dhaka 1217, Bangladesh

  • Dept. of Civil Engineering, Stamford University Bangladesh, Dhaka 1217, Bangladesh

  • Dept. of Civil Engineering, Stamford University Bangladesh, Dhaka 1217, Bangladesh

  • Dept. of Civil Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, Bangladesh

  • Office Engineer, BETS Consulting Services Ltd., Dhaka, Bangladesh

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