Recent advances in wavelet analyses: Part 1. A review of concepts

Labat, David

doi:10.1016/j.jhydrol.2005.04.003

Cited by 510 publications

(325 citation statements)

References 85 publications

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“…The wavelet transformation is used to follow the time course of the process at different scales in the signal [57]. It has been used for numerous studies in geosciences (e.g., [13,58,59]). In particular, applications of wavelets to discharge time series allow describing signals of climatic oscillation [14,16,60,61].…”

Section: Methodsmentioning

confidence: 99%

Characterization of the Interannual Variability of Precipitation and Streamflow in Tensift and Ksob Basins (Morocco) and Links with the NAO

et al. 2016

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Abstract:The aim of this study is to understand the inter-annual hydrological variability (precipitation and streamflow) in the basins of the High Atlas in Morocco and to determine how climate fluctuations (represented by the North Atlantic Oscillation (NAO) climate index) are expressed in the hydrological system. To reach this objective, time series of precipitation and streamflow are processed as standardized anomalies and studied by continuous wavelet analysis and wavelet coherence analysis, which are particularly suitable for the study of unsteady processes. Wet and dry periods vary from one basin to another between three and five years. The wavelet analysis shows the existence of many bands of energy in most of the sub-basins, from annual to inter-annual scales regarding the precipitation and streamflow time series. These bands correspond to intervals of one year, 2-4 years, 4-8 years and 8-12 years. The wavelet coherence analysis shows a strong coherence between NAO/streamflow and precipitation/NAO identified at the inter-annual scale. Non-stationarity can be observed in the late 1980s, 1990s and 2000s. The contribution of the NAO is different from one basin to another ranging between 67% and 77%.

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Section: Methodsmentioning

confidence: 99%

Characterization of the Interannual Variability of Precipitation and Streamflow in Tensift and Ksob Basins (Morocco) and Links with the NAO

et al. 2016

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“…A continuous wavelet function (CWT) (η) that depends on a non-dimensional time parameter η can be written as (Labat, 2005):…”

Section: Wavelet Analysismentioning

confidence: 99%

The Nonlinear trend of runoff and its response to climate change in the Aksu River, western China

Chen

et al. 2011

Intl Journal of Climatology

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ABSTRACT:The nonlinear trend of runoff and its response to climate change in the Aksu River were identified and evaluated using several selected methods, including grey relation analysis, wavelet analysis, and regression analysis. The time series of runoff and related climate variables from two hydrologic stations and four meteorological stations during 1959-2005 for the Aksu River were used to construct and test empirical models. The key findings of this study indicate that although the time series of the runoff, temperature and precipitation present nonlinear trends, the runoff exhibits a linear correlation with the temperature and precipitation. These results reveal that there is a close relationship between variations in the annual runoff of the Aksu River and regional climate change; in other words, the nonlinear trends of the variations in the runoff is the response to that of regional climate change. The details supporting the key findings are as follows: (1) The annual runoff presented nonlinear trends that depend on time scales, which appeared to have resulted from the regional climate changes that occurred during the study period. (2) The periodicity of changes in runoff, temperature, and precipitation are closely correlated, that of annual runoff occurred on 24-year cycle, whereas annual average temperature and annual precipitation occurred on 23-and 25-year cycles. (3) The annual runoff exhibited a significant, positive correlation with the temperature and precipitation at the 1-, 2-, 4-, and 8-year temporal scales.

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“…Despite being a newly developed mathematical method, the wavelet method has significant advantages compared to other analytical methods in terms of multi-resolution, localization, and multi-level factors [47,48]. Recently, many studies [49][50][51] have been devoted to this method for hydro-meteorological research, producing a string of scientific achievements, especially in multiple-scale climate diagnosis studies [52][53][54][55][56].…”

Section: Methodsmentioning

confidence: 99%

The Effects of Dominant Driving Forces on Summer Precipitation during Different Periods in Beijing

2017

Atmosphere

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Wavelet analysis methods (CWT, XWT, WTC) were employed to evaluate the impact of dominant climatic driving factors on summer precipitation in the Beijing area based on monthly precipitation data of Beijing ranging from 1880 to 2014. The two climatic driving factors, i.e., the East Asian summer monsoon (EASM) and the Northern Limit of Western Pacific Subtropical High (NWPSH) were considered in particular. The relationships between summer precipitation and EASM/NWPSH were also examined. The results revealed similar periods in low-frequency oscillation (76-95 years) and mid-range frequency oscillation (32-60 years) for the summer precipitation in the Beijing area and EASM/NWPSH. The summer precipitation correlated positively with the NWPSH and EASM, especially for periods of 43 years and 33 years, respectively. This indicates that summer precipitation during 1880-1960 and during the years after 1960 was significantly affected by NWPSH and EASM, respectively. Based on the periodic change of 33 years for both summer precipitation and EASM, heavy precipitation can be expected to occur again in Beijing at approximately 2026. Understanding the relationships between summer precipitation and climatic factors is of significant importance for precipitation predictions and water resource variations in the Beijing area.

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Recent advances in wavelet analyses: Part 1. A review of concepts

Cited by 510 publications

References 85 publications

Characterization of the Interannual Variability of Precipitation and Streamflow in Tensift and Ksob Basins (Morocco) and Links with the NAO

Characterization of the Interannual Variability of Precipitation and Streamflow in Tensift and Ksob Basins (Morocco) and Links with the NAO

The Nonlinear trend of runoff and its response to climate change in the Aksu River, western China

The Effects of Dominant Driving Forces on Summer Precipitation during Different Periods in Beijing

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