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Comparison of Frequency Calculation Methods for Precipitation Series Containing Zero Values

Author

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  • Ting Wei

    (Taiyuan University of Technology)

  • Songbai Song

    (Northwest A&F University)

Abstract

The Muskingum-based (MK-based) distributions and their probability weighted moments (PWMs) have been used for frequency calculation of hydrological data that contain zero values. However, the performance of different MK-based distributions have not been compared and evaluated. Moreover, the partial L-moments (PLMs), which are used for analyzing censored samples, have not been used for frequency calculation of such hydrological data. To obtain the most effective method, this study compares and evaluates the performance of four MK-based distributions by fitting 64 monthly precipitation series and using the ordinary least square (OLS) criterion, Akaike information criterion (AIC), residual square sum criterion (RSS), and the Quasi-optimal Deterministic coefficient (QD). The distributions include ​exponential distribution combines with Dirac delta function (M-like), two-parameter gamma distribution (GA2) combines with Dirac delta function (DGA2), two-parameter generalized Pareto distribution combines with Dirac delta function (DGP2), and two-parameter Weibull distribution (WB2) combines with Dirac delta function (DWB2). The applicability of PLMs were also tested and PLMs of four traditional distributions, including GA2, WB2, generalized extreme value distribution (GEV) and three-parameter generalized Pareto distribution (GP3) were used in application. Results showed that the PLMs are feasible for frequency calculation of hydrological data with zeros. The DGP2 and GP3 are superior to the other MK-based distributions and traditional distributions, respectively. The DGP2 distribution is the optimal choice in most cases and is more universal than the other distributions.

Suggested Citation

  • Ting Wei & Songbai Song, 2022. "Comparison of Frequency Calculation Methods for Precipitation Series Containing Zero Values," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(2), pages 527-550, January.
    • Handle: RePEc:spr:waterr:v:36:y:2022:i:2:d:10.1007_s11269-021-03038-4
    DOI: 10.1007/s11269-021-03038-4
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    References listed on IDEAS

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    1. Brunella Bonaccorso & David Peres & Antonio Castano & Antonino Cancelliere, 2015. "SPI-Based Probabilistic Analysis of Drought Areal Extent in Sicily," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 459-470, January.
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    1. Wen-chuan Wang & Wei-can Tian & Dong-mei Xu & Kwok-wing Chau & Qiang Ma & Chang-jun Liu, 2023. "Muskingum Models’ Development and their Parameter Estimation: A State-of-the-art Review," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(8), pages 3129-3150, June.

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