Advances and applications of empirical mode decomposition and its variants in hydrology: A review
Hydrological series are influenced by climate change, ecological succession, and human activities, containing complex, multi-layered, and interactive information that reflects highly non-linear and non-stationary characteristics. Effectively extracting and analyzing hidden information, while underst...
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Science Press
2025-02-01
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| Series: | Guan'gai paishui xuebao |
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| Online Access: | https://www.ggpsxb.com/jgpxxben/ch/reader/view_abstract.aspx?file_no=20250212&flag=1 |
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| author | CHEN Yunfei LIU Zuyu LIU Xiuhua HE Junqi ZHENG Ce MA Yandong |
| author_facet | CHEN Yunfei LIU Zuyu LIU Xiuhua HE Junqi ZHENG Ce MA Yandong |
| author_sort | CHEN Yunfei |
| collection | DOAJ |
| description | Hydrological series are influenced by climate change, ecological succession, and human activities, containing complex, multi-layered, and interactive information that reflects highly non-linear and non-stationary characteristics. Effectively extracting and analyzing hidden information, while understanding temporal variation in hydrological data, remains a challenge. Empirical Mode Decomposition (EMD) has garnered increasing attention due to its ability to analyze non-linear and non-stationary data. This paper reviews the theory and application of EMD in hydrology, including its advantages and limitations. The review explores extensions and adaptations of EMD aimed at improving hydrological sequence analysis. We provide a comprehensive overview of the fundamental theory, methodological characteristics, and current challenges of EMD, covering five EMD-based methods: Hilbert-Huang Transform (HHT), Ensemble Empirical Mode Decomposition (EEMD), Multivariate Empirical Mode Decomposition (MEMD), Extreme Point Symmetric Mode Decomposition (ESMD), and Variational Mode Decomposition (VMD). The pros and cons of each method are analyzed. Additionally, we review the progress of EMD and its variants, particularly in the context of multi-spatiotemporal scale analysis, trend detection, and predictive modeling of hydrological series. Key insights are drawn from the use of EMD in detecting trends, identifying temporal variation features, and improving model predictions for hydrological data across different spatial and temporal scales. Despite the advancements in application of EMD and its variants in hydrology, challenges remain, including issues related to method robustness and efficiency in handling large-scale datasets. We conclude by offering recommendations for future research, including advancing EMD theory and enhancing techniques for analyzing hydrological variability at multi-temporal and multi-spatial scales under changing environmental conditions. |
| format | Article |
| id | doaj-art-421f4a585bb0483f95e9edcf10130d36 |
| institution | OA Journals |
| issn | 1672-3317 |
| language | zho |
| publishDate | 2025-02-01 |
| publisher | Science Press |
| record_format | Article |
| series | Guan'gai paishui xuebao |
| spelling | doaj-art-421f4a585bb0483f95e9edcf10130d362025-08-20T02:02:57ZzhoScience PressGuan'gai paishui xuebao1672-33172025-02-0144210111210.13522/j.cnki.ggps.2024049Advances and applications of empirical mode decomposition and its variants in hydrology: A reviewCHEN Yunfei0LIU Zuyu1LIU Xiuhua2HE Junqi3ZHENG Ce4MA Yandong51. School of Water and Environmental, Chang’an University, Xi’an 710054, China; 2. Key Laboratory of Subsurface Hydrology and Ecological Effects in Arid Region of Ministry of Education, Xi’an 710054, China; 3. Key Laboratory of Ecological Hydrology and Water Security in Arid Areas, Ministry of Water Resources, Xi’an 710054, China1. School of Water and Environmental, Chang’an University, Xi’an 710054, China; 2. Key Laboratory of Subsurface Hydrology and Ecological Effects in Arid Region of Ministry of Education, Xi’an 710054, China; 3. Key Laboratory of Ecological Hydrology and Water Security in Arid Areas, Ministry of Water Resources, Xi’an 710054, China1. School of Water and Environmental, Chang’an University, Xi’an 710054, China; 2. Key Laboratory of Subsurface Hydrology and Ecological Effects in Arid Region of Ministry of Education, Xi’an 710054, China; 3. Key Laboratory of Ecological Hydrology and Water Security in Arid Areas, Ministry of Water Resources, Xi’an 710054, China1. School of Water and Environmental, Chang’an University, Xi’an 710054, China; 2. Key Laboratory of Subsurface Hydrology and Ecological Effects in Arid Region of Ministry of Education, Xi’an 710054, China; 3. Key Laboratory of Ecological Hydrology and Water Security in Arid Areas, Ministry of Water Resources, Xi’an 710054, China1. School of Water and Environmental, Chang’an University, Xi’an 710054, China; 2. Key Laboratory of Subsurface Hydrology and Ecological Effects in Arid Region of Ministry of Education, Xi’an 710054, China; 3. Key Laboratory of Ecological Hydrology and Water Security in Arid Areas, Ministry of Water Resources, Xi’an 710054, China4. Shaanxi Academy of Forestry, Xi’an 710082, ChinaHydrological series are influenced by climate change, ecological succession, and human activities, containing complex, multi-layered, and interactive information that reflects highly non-linear and non-stationary characteristics. Effectively extracting and analyzing hidden information, while understanding temporal variation in hydrological data, remains a challenge. Empirical Mode Decomposition (EMD) has garnered increasing attention due to its ability to analyze non-linear and non-stationary data. This paper reviews the theory and application of EMD in hydrology, including its advantages and limitations. The review explores extensions and adaptations of EMD aimed at improving hydrological sequence analysis. We provide a comprehensive overview of the fundamental theory, methodological characteristics, and current challenges of EMD, covering five EMD-based methods: Hilbert-Huang Transform (HHT), Ensemble Empirical Mode Decomposition (EEMD), Multivariate Empirical Mode Decomposition (MEMD), Extreme Point Symmetric Mode Decomposition (ESMD), and Variational Mode Decomposition (VMD). The pros and cons of each method are analyzed. Additionally, we review the progress of EMD and its variants, particularly in the context of multi-spatiotemporal scale analysis, trend detection, and predictive modeling of hydrological series. Key insights are drawn from the use of EMD in detecting trends, identifying temporal variation features, and improving model predictions for hydrological data across different spatial and temporal scales. Despite the advancements in application of EMD and its variants in hydrology, challenges remain, including issues related to method robustness and efficiency in handling large-scale datasets. We conclude by offering recommendations for future research, including advancing EMD theory and enhancing techniques for analyzing hydrological variability at multi-temporal and multi-spatial scales under changing environmental conditions.https://www.ggpsxb.com/jgpxxben/ch/reader/view_abstract.aspx?file_no=20250212&flag=1data mining; multi-spatiotemporal scale analysis; hydrological variability analysis; trend tests; hydrologic forecasting |
| spellingShingle | CHEN Yunfei LIU Zuyu LIU Xiuhua HE Junqi ZHENG Ce MA Yandong Advances and applications of empirical mode decomposition and its variants in hydrology: A review Guan'gai paishui xuebao data mining; multi-spatiotemporal scale analysis; hydrological variability analysis; trend tests; hydrologic forecasting |
| title | Advances and applications of empirical mode decomposition and its variants in hydrology: A review |
| title_full | Advances and applications of empirical mode decomposition and its variants in hydrology: A review |
| title_fullStr | Advances and applications of empirical mode decomposition and its variants in hydrology: A review |
| title_full_unstemmed | Advances and applications of empirical mode decomposition and its variants in hydrology: A review |
| title_short | Advances and applications of empirical mode decomposition and its variants in hydrology: A review |
| title_sort | advances and applications of empirical mode decomposition and its variants in hydrology a review |
| topic | data mining; multi-spatiotemporal scale analysis; hydrological variability analysis; trend tests; hydrologic forecasting |
| url | https://www.ggpsxb.com/jgpxxben/ch/reader/view_abstract.aspx?file_no=20250212&flag=1 |
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