He Junqi,Guo Xinjia,Chen Yunfei,et al.Multi-time Scale Study of Rainfall Series Based on Hilbert-Huang Transform and Wavelet Analysis[J].Research of Soil and Water Conservation,2024,31(02):130-141.
基于希尔伯特-黄变换与小波分析的降雨序列多时间尺度研究
- Title:
- Multi-time Scale Study of Rainfall Series Based on Hilbert-Huang Transform and Wavelet Analysis
- 文章编号:
- 1005-3409(2024)02-0130-12
- Keywords:
- Multivariate Empirical Mode Decomposition; HHT; wavelet transform; rainfall period; Mu Us Sandy Land
- 分类号:
- P333
- 文献标志码:
- A
- 摘要:
- [目的]对比分析不同方法在多尺度周期计算性能方面的差异,为区域水文周期分析方法的选择提供更多参考。[方法]利用2组已知周期和趋势特征的人工序列,对基于多元经验模态分解(Multivariate Empirical Mode Decomposition,MEMD)改进的希尔伯特—黄变换(Hilbert-Huang Transform,HHT)与小波分析在多尺度周期计算性能差异上进行了测试、对比与分析; 并在此基础上,使用改进的HHT(后称HHT)进一步分析了毛乌素沙地11个站点39年降雨序列的多时间尺度特征。[结果]对于人工序列,小波分析(对称延拓)结果偏大,与预设周期存在显著差异(Sig.=0.003<0.05); 而HHT和小波分析(周期延拓)的周期结果与预设周期没有显著差异,且HHT精度(Sig.=0.142>0.05)要略高于周期延拓小波(Sig.=0.109>0.05)。对于实测降雨序列,HHT显示毛乌素沙地的降雨主周期存在明显区域差异:腹地站点降雨主周期为5.5 a,而边缘站点为2.7～3.3 a; 分解后的残差分量表明了沙地降雨在时间上呈上升趋势,而空间上呈现由东到西逐渐减少的分布状态。[结论]HHT因其自适应性,无需考虑众多参数的选取,在保持精度的同时可以提取更多水文信息,在区域降雨序列多尺度分析上更具优势,因此具有重要的实际应用价值。
- Abstract:
- [Objective] To Compare and analyze the differences in multi-scale periodic calculation performance between different methods can provide more reference for the selection of regional hydrological periodic analysis methods. [Methods] In this study, two groups of artificial sequences with known period and trend characteristics were used to test, compare and analyze the difference between Hilbert-Huang Transform(HHT)based on Multivariate Empirical Mode Decomposition(MEMD)and wavelet analysis in multi-scale period calculation performance. On this basis, the improved HHT was used to analyze further the multi-time scale characteristics of the 39-year rainfall series at 11 stations in Mu Us Sandy Land. [Results] For artificial sequences, the wavelet analysis(symmetric extension)results are relatively large, and there is a significant difference from the preset period(Sig.=0.003<0.05). The periodic results of HHT and wavelet analysis(periodic extension)show no significant difference from the preset period, and the accuracy of HHT(Sig.=0.142>0.05)is slightly higher than that of periodic extension wavelet(Sig.=0.109>0.05). For the measured rainfall series, HHT shows significant regional differences in the main period of rainfall in the Mu Us Sandy Land: the main period of rainfall at the hinterland station is 5.5 years, while at the edge station, it is 2.7～3.3 years. The decomposed residual component indicates that the rainfall at this region showed an upward trend in time and a gradually decreasing distribution state in space from east to west. [Conclusion] This study shows that HHT can extract more hydrological information while maintaining accuracy due to its data-driven, without considering the selection of many parameters, and has more advantages in the multi-scale analysis of regional rainfall series, thus it has important practical application value.
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备注/Memo
收稿日期:2023-03-15 修回日期:2023-06-03
资助项目:国家自然科学基金项目(41877179,41901034,42001033); 陕西水利科技计划项目(2019slkj-18); 中央高校基本科研业务费项目(300102292904)
第一作者:贺军奇(1978—),男,陕西澄城人,博士,副教授,主要从事水文生态学研究。E-mail:hejunqi@chd.edu.cn
通信作者:刘秀花(1968—),女,陕西绥德人,博士,教授,主要从事水文生态与水安全研究。E-mail:Liuxh68@chd.edu.cn