Using empirical mode decomposition to correlate paleoclimatic  time-series

Solé, Jordi; Turiel, Antonio; Llebot, Josep Enric

doi:10.5194/nhess-7-299-2007

Cited by 20 publications

(15 citation statements)

References 41 publications

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“…The detail description of the method could be seen in Sole et.al (2007) [9] . The degree of synchronization between two IMFs belonging to two different series was assessed by calculating the variance of phase shift (δ), i.…”

Section: Correlation Degree Testmentioning

confidence: 99%

“…The next step has been to calculate the variances of phase shift for all possible couples of IMFs form two series [9] . As mentioned in the methodology section, we select those couples of modes having variance less than 0.4, as they are more likely to exhibit lasting periods synchronization [9] .…”

Section: Association Relationship Of Ocean Biological-physical Variablesmentioning

confidence: 99%

“…To measure the degree of temporal correlation of two variables, we used the method that relates couples of modes from different series by calculating the instantaneous phase differences among the associated modes [9] . The detail description of the method could be seen in Sole et.al (2007) [9] .…”

Section: Correlation Degree Testmentioning

confidence: 99%

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The multi-timescale variability of the ocean physical-biological association in the tropical Pacific

2014

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Here we analyzed the multi-timescale variabilities of the biological ocean parameter (chlorophyll concentration, CHL) and the physical ocean factors i.e. sea surface temperature (SST), sea level anomaly (SLA), precipitation and sea surface wind, as well as the biological-physical association relationships over the tropical Pacific Ocean (120°E-70°W, 20°S-20°N) based on the satellite observation datasets and products. In order to obtain the multi-timescale variabilities of the ocean parameters, we use the Hilbert-Huang Transform (HHT) to the time series of the biological and physical ocean satellite datasets. Based on the above datasets and methods, the results show the trends of the biological and physical ocean parameters, as well as the oscillation modes for each parameter and the association relationships between CHL and other physical factors on seasonal, interannual and interdecadal timescales. On seasonal timescale, CHL generally bloomed in boreal spring and vanished in boreal autumn, associating with warm SST and strong northeasterly trade winds in early boreal spring but cool SST and weak northeasterly trade winds in boreal autumn. On interannual timescale, the quasi-biennial oscillation of CHL was not significantly correlated with that of SLA and precipitation, while the ENSO-related oscillation mode of CHL evolved inversely with that of SST, SLA, precipitation and u wind component. And on interdecadal timescale, the 9 years oscillation of CHL was negatively correlated with the interdecadal oscillations of SST, SLA and u wind component.

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Section: Correlation Degree Testmentioning

confidence: 99%

Section: Association Relationship Of Ocean Biological-physical Variablesmentioning

confidence: 99%

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The multi-timescale variability of the ocean physical-biological association in the tropical Pacific

2014

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“…The EMD has been extensively and successfully used in different fields (Cummings et al, 2004;Terradas et al, 2004;Franzke, 2009;Vecchio et al, 2010aVecchio et al, , b, 2012Capparelli et al, 2011). In the context of paleoclimatic studies, the EMD was used by Solé et al (2007a) to investigate the oscillation patterns in GRIP, Vostok and EPICA time series of temperature proxies.…”

Section: Empirical Mode Decompositionmentioning

confidence: 99%

Natural periodicities and Northern Hemisphere–Southern Hemisphere connection of fast temperature changes during the last glacial period: EPICA and NGRIP revisited

et al. 2014

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Abstract. We investigate both the European Project for Ice Coring in Antarctica Dronning Maud Land (EDML) andNorth Greenland Ice-Core Project (NGRIP) data sets to study both the time evolution of the so-called Dansgaard-Oeschger events and the dynamics at longer timescales during the last glacial period. Empirical mode decomposition (EMD) is used to extract the proper modes of both the data sets. It is shown that the time behavior at the typical timescales of Dansgaard-Oeschger events is captured through signal reconstructions obtained by summing five EMD modes for NGRIP and four EMD modes for EDML. The reconstructions obtained by summing the successive modes can be used to describe the climate evolution at longer timescales, characterized by intervals in which Dansgaard-Oeschger events happen and intervals when these are not observed. Using EMD signal reconstructions and a simple model based on the one-dimensional Langevin equation, it is argued that the occurrence of a Dansgaard-Oeschger event can be described as an excitation of the climate system within the same state, while the longer timescale behavior appears to be due to transitions between different climate states. Finally, on the basis of a cross-correlation analysis performed on EMD reconstructions, evidence that the Antarctic climate changes lead those of Greenland by a lag of ≈ 3.05 kyr is presented.

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“…A time-frequency-energy representation of the data is then constructed from these basis functions. The HHT has seen extensive use in geophysical signal analysis and spectral estimation (Solé et al, 2007;Huang and Wu, 2008;Vecchio et al, 2010;Lee and Ouarda, 2011;Alberti et al, 2014;Huang and Shen, 2014;Tary et al, 2014). The HHT has also been previously employed on SSI datasets (Duffy, 2004;Calif et al, 2013;Bengulescu et al, 2016a, b).…”

Section: Introductionmentioning

confidence: 99%

On the intrinsic timescales of temporal variability in measurements of the surface solar radiation

Bengulescu

Blanc

Wald

2018

Nonlin. Processes Geophys.

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Abstract. This study is concerned with the intrinsic temporal scales of the variability in the surface solar irradiance (SSI). The data consist of decennial time series of daily means of the SSI obtained from high-quality measurements of the broadband solar radiation impinging on a horizontal plane at ground level, issued from different Baseline Surface Radiation Network (BSRN) ground stations around the world. First, embedded oscillations sorted in terms of increasing timescales of the data are extracted by empirical mode decomposition (EMD). Next, Hilbert spectral analysis is applied to obtain an amplitude-modulation-frequencymodulation (AM-FM) representation of the data. The timevarying nature of the characteristic timescales of variability, along with the variations in the signal intensity, are thus revealed. A novel, adaptive null hypothesis based on the general statistical characteristics of noise is employed in order to discriminate between the different features of the data, those that have a deterministic origin and those being realizations of various stochastic processes. The data have a significant spectral peak corresponding to the yearly variability cycle and feature quasi-stochastic high-frequency variability components, irrespective of the geographical location or of the local climate. Moreover, the amplitude of this latter feature is shown to be modulated by variations in the yearly cycle, which is indicative of nonlinear multiplicative cross-scale couplings. The study has possible implications on the modeling and the forecast of the surface solar radiation, by clearly discriminating the deterministic from the quasistochastic character of the data, at different local timescales.

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Using empirical mode decomposition to correlate paleoclimatic time-series

Cited by 20 publications

References 41 publications

The multi-timescale variability of the ocean physical-biological association in the tropical Pacific

The multi-timescale variability of the ocean physical-biological association in the tropical Pacific

Natural periodicities and Northern Hemisphere–Southern Hemisphere connection of fast temperature changes during the last glacial period: EPICA and NGRIP revisited

On the intrinsic timescales of temporal variability in measurements of the surface solar radiation

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