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Efficacy of Nakagami-m Distribution Function for Deriving Unit Hydrograph

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Listed:
  • R. Rai
  • S. Sarkar
  • Alka Upadhyay
  • V. Singh

Abstract

This paper applies the Nakagami-m distribution for the derivation of unit hydrograph (UH). The applicability of this distribution was verified using the data from 13 watersheds and results were compared with other distributions, viz., Gamma (GM), Beta, normal (NL), log-normal (LN), Weibull (WB), logistic (LG), generalized logistic (GLG) and Pearson type 3 (PT3). Based on visual comparison as well as statistical measures, such as root mean square error (RMSE), coefficient of efficiency (CE), mean absolute percentage error (MAPE), and application efficiency (η dist. ), it was found that the Nakagami-m distribution yielded satisfactory UHs and direct runoff hydrographs for watersheds of various sizes. Copyright Springer Science+Business Media B.V. 2010

Suggested Citation

  • R. Rai & S. Sarkar & Alka Upadhyay & V. Singh, 2010. "Efficacy of Nakagami-m Distribution Function for Deriving Unit Hydrograph," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(3), pages 563-575, February.
    • Handle: RePEc:spr:waterr:v:24:y:2010:i:3:p:563-575
    DOI: 10.1007/s11269-009-9459-5
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    References listed on IDEAS

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    1. R. Rai & M. Jain & S. Mishra & C. Ojha & V. Singh, 2007. "Another Look at Z-transform Technique for Deriving Unit Impulse Response Function," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(11), pages 1829-1848, November.
    2. R. Rai & S. Sarkar & V. Singh, 2009. "Evaluation of the Adequacy of Statistical Distribution Functions for Deriving Unit Hydrograph," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(5), pages 899-929, March.
    3. Dooge, James C. I., 1973. "Linear Theory of Hydrologic Systems," Technical Bulletins 160041, United States Department of Agriculture, Economic Research Service.
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