Journal of Water Resources and Ocean Science

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Ranking of Plotting Position Formula in Frequency Analysis of Annual and Seasonal Rainfall at Gariyaband, Chhattisgarh

Received: 8 August 2023    Accepted: 25 August 2023    Published: 8 January 2024
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Abstract

The frequency of recurrence of observed distributions is crucial in frequency analysis of hydrologic data for the purpose of plotting observed data, often known as "plotting positions." The appropriate determination of plotting positions has consistently been a contentious topic of conversation. Throughout time, a variety of methods for computing plotting positions have been presented. Through error statistics such as Mean Square Error (MSE), Root Mean Square Error (RMSE), and Mean Absolute Error (MAE), eight plotting position functions, which involves Hazen, California, Weibull, Beard, Chegodayev, Blom, Gringorten, and Cunnane, have been evaluated in this study for whether they could accurately estimate the magnitudes of annual and seasonal rainfall at Gariyaband district in Chhattisgarh state. Rankings are given to the methods for plotting position based on the that comes before error statistics. In accordance with an evaluation of the effectiveness of different plotting positions investigated in the study in terms of best estimation of magnitudes of seasonal and annual rainfall at Gariyaband District, Chhattisgarh, it is observed that the Cunnane method achieves the overall ranking "1," followed by the Gringorten method. Subsequently, the Cunnane technique is suggested as the best plotting position formula in frequency analysis of hydrologic data in Gariyaband District of Chhattisgarh State.

DOI 10.11648/j.wros.20241301.11
Published in Journal of Water Resources and Ocean Science (Volume 13, Issue 1, February 2024)
Page(s) 1-5
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

Rainfall, Chhattisgarh, Plotting Position, Rainfall Analysis, Frequency Analysis

References
[1] Adamowski, K. (1981). “Plotting Formula for Flood Frequency.” Water Resource. Bulletin, 17 (2): 197-202.
[2] Adeboye, O. B., and Alatise, M. O. (2007). Performance of probability distributions and plotting positions in estimating the flood of River Osun at Apoje Sub-basin, Nigeria. Agric. Eng. Int.: CIGR J., 9.
[3] Ani shabri. (2002). “A comparison of plotting position formulas for the Pearson Type III distribution”, Jurnal Teknologi, 36 (C) Jun. 2002: 61–74, Universiti Teknologi Malaysia.
[4] Anonymous. (2014), Agriculture Contigency plan for District – Gariyaband, ICAR, http://www.nicraicar.in/nicrarevised/images/statewiseplans/Chattisgarh/CHH23-Gariyaband-30.08.2014.pdf.
[5] Anonymous. (2021), District socio-economic data brochure, District Planning and Statistics, Gariyaband, 3-4B.
[6] Bulmer, M. G. (1979). “Principle of Statistics”. Dover Publications, 252 pp.
[7] Cook, N. (2011) Comments on Plotting Positions in Extreme Value Analysis. J. Appl. Meteorol. Climatol, 50, 255-266.
[8] Cunnane, C. (1978). “Unbiased Plotting Positions- A Review.” Journal of Hydrology, 37: 205-222.
[9] Guo, S. L. 1990. A Discussion On Unbiased Plotting Positions For The General Extreme Value Distribution, Journal of Hydrology. 121: 33-44.
[10] Harris, R. I. (1996). “Gumbel re-visited—A new look at extreme value statistics applied to wind speeds”, J. Wind Eng. Ind. Aerodyn., 59, 1–22.
[11] Kim, S., Shin, H., Joo, K., and Heo, J. H. (2012) Development of plotting position for the general extreme value distribution. J. Hydrol., 475, 259-269.
[12] Lozano-Aguilera, E. D., Estudillo-Martínez, M. D., and Castillo-Gutiérrez, S. (2014) A proposal for plotting positions in probability plots. J. Appl. Stat., 41, 118-126.
[13] Makkonen, L. (2006). “Plotting Positions in Extreme Value Analysis”, Journal of Appl. Meteorol. and Climatol., 45, pp. 334 – 340.
[14] Makkonen, L. (2008) Problems in the extreme value analysis. Struct. Saf., 30, 405-419.
[15] Murugappan, A., Sivaprakasam, S. and Mohan. S. (2017) Ranking of plotting position formulae in frequency analysis of annual and seasonal rainfall at Puducherry, South India, Global Journal of Engineering Science and Researches, July 2017: 67-76.
[16] Rigdon, S. E., and Basu, A. P. (1989) The power law process: a model for the reliability of repairable systems. J. Qual. Technol., 21, 251-260.
[17] Singh, V. P. (1994). “Elementary Hydrology”. Prentice Hall. 973 pp.
[18] Stedinger, J. R., Vogel, R. M., and Foufoula, G. E. (1993). “Frequency Analysis of Extreme Events.” Handbook of Applied Hydrology. Mc-Graw Hill Book Co., New York, Chapter 18.
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  • APA Style

    Deo, R. K., Sinha, B. L., Sharma, K. K. (2024). Ranking of Plotting Position Formula in Frequency Analysis of Annual and Seasonal Rainfall at Gariyaband, Chhattisgarh. Journal of Water Resources and Ocean Science, 13(1), 1-5. https://doi.org/10.11648/j.wros.20241301.11

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    ACS Style

    Deo, R. K.; Sinha, B. L.; Sharma, K. K. Ranking of Plotting Position Formula in Frequency Analysis of Annual and Seasonal Rainfall at Gariyaband, Chhattisgarh. J. Water Resour. Ocean Sci. 2024, 13(1), 1-5. doi: 10.11648/j.wros.20241301.11

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    AMA Style

    Deo RK, Sinha BL, Sharma KK. Ranking of Plotting Position Formula in Frequency Analysis of Annual and Seasonal Rainfall at Gariyaband, Chhattisgarh. J Water Resour Ocean Sci. 2024;13(1):1-5. doi: 10.11648/j.wros.20241301.11

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  • @article{10.11648/j.wros.20241301.11,
      author = {Rajendra Kumar Deo and Bhuwan Lal Sinha and Kamal Kishor Sharma},
      title = {Ranking of Plotting Position Formula in Frequency Analysis of Annual and Seasonal Rainfall at Gariyaband, Chhattisgarh},
      journal = {Journal of Water Resources and Ocean Science},
      volume = {13},
      number = {1},
      pages = {1-5},
      doi = {10.11648/j.wros.20241301.11},
      url = {https://doi.org/10.11648/j.wros.20241301.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20241301.11},
      abstract = {The frequency of recurrence of observed distributions is crucial in frequency analysis of hydrologic data for the purpose of plotting observed data, often known as "plotting positions." The appropriate determination of plotting positions has consistently been a contentious topic of conversation. Throughout time, a variety of methods for computing plotting positions have been presented. Through error statistics such as Mean Square Error (MSE), Root Mean Square Error (RMSE), and Mean Absolute Error (MAE), eight plotting position functions, which involves Hazen, California, Weibull, Beard, Chegodayev, Blom, Gringorten, and Cunnane, have been evaluated in this study for whether they could accurately estimate the magnitudes of annual and seasonal rainfall at Gariyaband district in Chhattisgarh state. Rankings are given to the methods for plotting position based on the that comes before error statistics. In accordance with an evaluation of the effectiveness of different plotting positions investigated in the study in terms of best estimation of magnitudes of seasonal and annual rainfall at Gariyaband District, Chhattisgarh, it is observed that the Cunnane method achieves the overall ranking "1," followed by the Gringorten method. Subsequently, the Cunnane technique is suggested as the best plotting position formula in frequency analysis of hydrologic data in Gariyaband District of Chhattisgarh State.
    },
     year = {2024}
    }
    

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    AU  - Rajendra Kumar Deo
    AU  - Bhuwan Lal Sinha
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    AB  - The frequency of recurrence of observed distributions is crucial in frequency analysis of hydrologic data for the purpose of plotting observed data, often known as "plotting positions." The appropriate determination of plotting positions has consistently been a contentious topic of conversation. Throughout time, a variety of methods for computing plotting positions have been presented. Through error statistics such as Mean Square Error (MSE), Root Mean Square Error (RMSE), and Mean Absolute Error (MAE), eight plotting position functions, which involves Hazen, California, Weibull, Beard, Chegodayev, Blom, Gringorten, and Cunnane, have been evaluated in this study for whether they could accurately estimate the magnitudes of annual and seasonal rainfall at Gariyaband district in Chhattisgarh state. Rankings are given to the methods for plotting position based on the that comes before error statistics. In accordance with an evaluation of the effectiveness of different plotting positions investigated in the study in terms of best estimation of magnitudes of seasonal and annual rainfall at Gariyaband District, Chhattisgarh, it is observed that the Cunnane method achieves the overall ranking "1," followed by the Gringorten method. Subsequently, the Cunnane technique is suggested as the best plotting position formula in frequency analysis of hydrologic data in Gariyaband District of Chhattisgarh State.
    
    VL  - 13
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Author Information
  • Department of Soil and Water Engineering, Indira Gandhi Krishi Vishvavidyalaya, Raipur, Chhattisgarh, India

  • Department of Soil and Water Engineering, Indira Gandhi Krishi Vishvavidyalaya, Raipur, Chhattisgarh, India

  • ICAR-Indian Institute of Soil and Water Conservation, Research Centre, AGRA (UP), India

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