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Trimmed L-Moments of the Pearson Type III Distribution for Flood Frequency Analysis

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Abstract

Trimmed L-moments (TL-moments) can reduce the undesirable effects of small sample events when estimating large return period events. This study proposes a new method to investigate the TL-moments method for the Pearson type III (P-III) distribution and derives new formulas for the TL-moments of the P-III distribution. The formulas for the TL-moments of the P-III distribution derived by Mat Jan and Shabri (Theor Appl Climatol 127(1–2):213–227, 2015) are also corrected. From the simulation results, the TL-moments method of the P-III distribution proposed in this paper is almost the same as the TL-moments method proposed by Mat Jan and Shabri (Theor Appl Climatol 127(1–2):213–227, 2015), and it can show good parameter estimation performance when the sample size is small and \({C}_{s}>2.0{C}_{v}\). The annual maximum streamflow data in northern Shaanxi, China is used as a case study. The results show that the TL-moments (2, 0) method is the most suitable method for the Zaoyuan and Liujiahe stations and the Huangling station is best fitted with the TL-moments (3, 0) method.

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Acknowledgements

This work is jointly supported by National Natural Science Foundation of China (52079110). The authors would like to thank the editors, and anonymous reviewers for their illuminating comments which have greatly helped improve the quality of this manuscript.

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Authors and Affiliations

  1. College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling, 712100, China

    Yifan Jia, Songbai Song & Liting Ge

  2. Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F University, Yangling, 712100, China

    Yifan Jia, Songbai Song & Liting Ge

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  1. Yifan Jia
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  2. Songbai Song
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Correspondence to Songbai Song.

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Jia, Y., Song, S. & Ge, L. Trimmed L-Moments of the Pearson Type III Distribution for Flood Frequency Analysis. Water Resour Manage 37, 1321–1340 (2023). https://doi.org/10.1007/s11269-023-03435-x

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