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Rating Curve Development and Validation on Tordzie Watershed

Published in Hydrology (Volume 10, Issue 3)
Received: 20 July 2022    Accepted: 4 August 2022    Published: 15 August 2022
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Abstract

Basin discharge is a crucial hydrological parameter in water resources management. However, its direct measurement is a difficult task to a hydraulic engineer. The quality of the data was examined employing regression analysis to check correlation between the discharge (Q) and stage (H). The mean values of the two variables were then adopted to find the difference of value between zero gauge and level of zero flow, “H0”, and locality constants (“K” and “n”) to fit into rating curve equation and plotted the stage-discharge rating curve. The generated equations for the network stations were Q = 7.4716(H-0.1096)1.024 for Honuta, Q= 8.2105 (H-0.30)1.2415 for Kpetoe and for Tordzinu Q = 3.937 (H-0.48)1.3178. The formulated equations were validated with historical stage and discharge data. The correlation coefficients were 99.78%, 99.85% and 98.73% for Honuta, Kpetoe and Tordzinu respectively. The Correlation coefficients indicated percent of original uncertainty explained by the analysis. The standard deviations (and standard errors) were 1.81% (0.34%), 15.58% (4.50%) and 14.25% (4.11%) for Honuta, Kpetoe and Tordzinu, respectively, on Tordzie watershed. The calculated rating curve has several advantages. Among them, it is able to estimate accurate discharge during the flood based on extrapolation which is difficult to measure directly.

Published in Hydrology (Volume 10, Issue 3)
DOI 10.11648/j.hyd.20221003.11
Page(s) 49-55
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

Discharge, Rating Curve, Stage, Tordzie Basin, Volta Region

References
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[2] Kean, Jason W., & Smith, J. Dungan. (2010). Calculation of stage-discharge relations for gravel bedded channels. Journal of Geophysical Research: Earth Surface, 115(F3), n/a-n/a. doi: 10.1029/2009JF001398.
[3] Jain, SK, & Chalisgaonkar, D. (2000). Setting up stage-discharge relations using ANN. Journal of Hydrologic Engineering, 5 (4), 428-433.
[4] Beven, Keith J. (2011). Rainfall-runoff modelling: the primer: John Wiley & Sons.
[5] Beven, Keith, Smith, PJ, & Wood, Andrew. (2011). On the colour and spin of epistemic error (and what we might do about it). Hydrology and Earth System Sciences, 15 (10), 3123-3133.
[6] Di Baldassarre, Giuliano, & Claps, Pierluigi. (2011). A hydraulic study on the applicability of flood rating curves. Hydrology Research, 42 (1), 10-19.
[7] Di Baldassarre, Giuliano, & Montanari, A. (2009). Uncertainty in river discharge observations: a quantitative analysis. Hydrology and Earth System Sciences, 13 (6), 913.
[8] Mosley, M. P., & McKerchar, A.. (1993). streamflow. New York: McGraw-Hill Inc.
[9] Wu, R. B, & Yang, J. C. (2008). An analytical method of stage–fall–discharge rating. Hydrological Processes, 22, 2959-2973.
[10] Nyatuame, M., Amekudzi, L. K., & Agodzo, S. K. (2020). Assessing the land use/land cover and climate change impact on water balance on Tordzie watershed. Remote Sensing Applications: Society and Environment, 20, 100381.
[11] Ghana Statistical Service (GSS), 2020. National population and housing census.
[12] Nyatuame, M., & Agodzo, S. (2017). Analysis of extreme rainfall events (drought andflood) over Tordzie Watershed in the Volta Region of Ghana. Journal of Geoscience and Environment Protection, 5 (9), 275-295.
[13] Subramanya K. (2007). Engineering Hydrology (second edition ed.). New Delhi: Tata McGraw-Hill Publishing Company Limited.
[14] Guerrero, José-Luis, Westerberg, Ida K, Halldin, Sven, Xu, Chong-Yu, & Lundin, Lars-Christer. (2012). Temporal variability in stage–discharge relationships. Journal of hydrology, 446, 90-102.
[15] Jalbert, Jonathan, Mathevet, Thibault, & Favre, Anne-Catherine. (2011). Temporal uncertainty estimation of discharges from rating curves using a variographic analysis. Journal of hydrology, 397 (1), 83-92.
[16] Johnson, R. (1995). Just the Essentials of Elementary Statistics. California.: Wadsworth.
[17] Mueses-Pérez, Auristela. (2006). Generalized non-dimensional depth-discharge rating curves tested on Florida streamflow. (PhD), University of South Florida, Scholar Commons.
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  • APA Style

    Mexoese Nyatuame, Sampson Agodzo, Leonard Amekudzi, Bismark Mensah-Brako. (2022). Rating Curve Development and Validation on Tordzie Watershed. Hydrology, 10(3), 49-55. https://doi.org/10.11648/j.hyd.20221003.11

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    ACS Style

    Mexoese Nyatuame; Sampson Agodzo; Leonard Amekudzi; Bismark Mensah-Brako. Rating Curve Development and Validation on Tordzie Watershed. Hydrology. 2022, 10(3), 49-55. doi: 10.11648/j.hyd.20221003.11

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    AMA Style

    Mexoese Nyatuame, Sampson Agodzo, Leonard Amekudzi, Bismark Mensah-Brako. Rating Curve Development and Validation on Tordzie Watershed. Hydrology. 2022;10(3):49-55. doi: 10.11648/j.hyd.20221003.11

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  • @article{10.11648/j.hyd.20221003.11,
      author = {Mexoese Nyatuame and Sampson Agodzo and Leonard Amekudzi and Bismark Mensah-Brako},
      title = {Rating Curve Development and Validation on Tordzie Watershed},
      journal = {Hydrology},
      volume = {10},
      number = {3},
      pages = {49-55},
      doi = {10.11648/j.hyd.20221003.11},
      url = {https://doi.org/10.11648/j.hyd.20221003.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.hyd.20221003.11},
      abstract = {Basin discharge is a crucial hydrological parameter in water resources management. However, its direct measurement is a difficult task to a hydraulic engineer. The quality of the data was examined employing regression analysis to check correlation between the discharge (Q) and stage (H). The mean values of the two variables were then adopted to find the difference of value between zero gauge and level of zero flow, “H0”, and locality constants (“K” and “n”) to fit into rating curve equation and plotted the stage-discharge rating curve. The generated equations for the network stations were Q = 7.4716(H-0.1096)1.024 for Honuta, Q= 8.2105 (H-0.30)1.2415 for Kpetoe and for Tordzinu Q = 3.937 (H-0.48)1.3178. The formulated equations were validated with historical stage and discharge data. The correlation coefficients were 99.78%, 99.85% and 98.73% for Honuta, Kpetoe and Tordzinu respectively. The Correlation coefficients indicated percent of original uncertainty explained by the analysis. The standard deviations (and standard errors) were 1.81% (0.34%), 15.58% (4.50%) and 14.25% (4.11%) for Honuta, Kpetoe and Tordzinu, respectively, on Tordzie watershed. The calculated rating curve has several advantages. Among them, it is able to estimate accurate discharge during the flood based on extrapolation which is difficult to measure directly.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Rating Curve Development and Validation on Tordzie Watershed
    AU  - Mexoese Nyatuame
    AU  - Sampson Agodzo
    AU  - Leonard Amekudzi
    AU  - Bismark Mensah-Brako
    Y1  - 2022/08/15
    PY  - 2022
    N1  - https://doi.org/10.11648/j.hyd.20221003.11
    DO  - 10.11648/j.hyd.20221003.11
    T2  - Hydrology
    JF  - Hydrology
    JO  - Hydrology
    SP  - 49
    EP  - 55
    PB  - Science Publishing Group
    SN  - 2330-7617
    UR  - https://doi.org/10.11648/j.hyd.20221003.11
    AB  - Basin discharge is a crucial hydrological parameter in water resources management. However, its direct measurement is a difficult task to a hydraulic engineer. The quality of the data was examined employing regression analysis to check correlation between the discharge (Q) and stage (H). The mean values of the two variables were then adopted to find the difference of value between zero gauge and level of zero flow, “H0”, and locality constants (“K” and “n”) to fit into rating curve equation and plotted the stage-discharge rating curve. The generated equations for the network stations were Q = 7.4716(H-0.1096)1.024 for Honuta, Q= 8.2105 (H-0.30)1.2415 for Kpetoe and for Tordzinu Q = 3.937 (H-0.48)1.3178. The formulated equations were validated with historical stage and discharge data. The correlation coefficients were 99.78%, 99.85% and 98.73% for Honuta, Kpetoe and Tordzinu respectively. The Correlation coefficients indicated percent of original uncertainty explained by the analysis. The standard deviations (and standard errors) were 1.81% (0.34%), 15.58% (4.50%) and 14.25% (4.11%) for Honuta, Kpetoe and Tordzinu, respectively, on Tordzie watershed. The calculated rating curve has several advantages. Among them, it is able to estimate accurate discharge during the flood based on extrapolation which is difficult to measure directly.
    VL  - 10
    IS  - 3
    ER  - 

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Author Information
  • Department of Agricultural and Biosystems Engineering, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana

  • Department of Agricultural and Biosystems Engineering, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana

  • Department of Physics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana

  • Department of Agricultural and Biosystems Engineering, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana

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