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Regional Frequency Analysis Based on Precipitation Regionalization Accounting for Temporal Variability and a Nonstationary Index Flood Model

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Abstract

Climate change and human activities have led to nonstationarity in hydrological series. To systematically consider nonstationarity in regional frequency analysis (RFA), the features accounting for temporal variability of data series were developed and a nonstationary index flood model considering the trend and jump mutations was proposed in this study. The features extracted by empirical mode decomposition (EMD) were regarded as attributes to identify homogeneous regions. The fuzzy c-means clustering (FCM) and the combination of the self-organizing feature map and Ward’s agglomerative hierarchical clustering (SOM+Ward) were compared. Then the complete nonstationary RFA was applied to the annual maximum daily precipitation (AMDP) of Jiangxi province, China. The results indicate that the regionalization with the attributes reflecting temporal variability of the data series is more detailed. Moreover, the performance of SOM+Ward is better than FCM. The comparison results of precipitation quantiles, which were estimated by stationary and the proposed nonstationary index model, indicate that ignoring nonstationarity in RFA affects the choice of the best-fit distribution and the determination of index flood. In addition, the complete framework of nonstationary RFA developed in this study can provide more proper information when stations with trend and jump mutations exist in the region.

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Acknowledgements

The authors are grateful to the editors and anonymous reviewers for their invaluable comments and suggestions.

Funding

This study was supported by the National Key Research and Development Program of China (Grant Nos. 2018YFC1508200 and 2018YFC1508001), the Fundamental Research Funds for the Central Universities (Grant Nos. B200204029) and the National Natural Science Foundation of China (Grant No. 51479061).

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QG: Methodology, Data Curation, Writing—original draft. GL: Methodology, Editing of the manuscript, Supervision. JB: Data Curation, Validation. JW: Conceptualization, Data Curation.

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Correspondence to Guofang Li.

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Gao, Q., Li, G., Bao, J. et al. Regional Frequency Analysis Based on Precipitation Regionalization Accounting for Temporal Variability and a Nonstationary Index Flood Model. Water Resour Manage 35, 4435–4456 (2021). https://doi.org/10.1007/s11269-021-02959-4

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  • DOI: https://doi.org/10.1007/s11269-021-02959-4

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