Contribution of low-frequency climatic–oceanic oscillations to streamflow variability in small, coastal rivers of the Sierra Nevada de Santa Marta (Colombia)
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"Contribution of low-frequency clima..." refers background or methods in this paper
...The global wavelet spectrum provides an ad-15 equate estimation of the long-term processes’ characteristics (Torrence and Compo, 1998; Labat, 2005)....
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...Analysis of monthly streamflow data was performed using generalized local base functions with CWT. Mother wavelets were translated and stretched in time resolution and frequency (Torrence and Compo, 1998)....
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...…of 6 was defined for the frequency localization of the Morlet wavelet (ωo) to fulfill the admissibility condition (localization in time and frequency, zero mean, and to acquire a proper balance be- 50 tween frequency and time) (Torrence and Compo, 1998; Grinsted et al., 2004; Nalley et al., 2016)....
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...…with a non-normal distribution were transformed prior to applying the XWT and WTC analyses, using a widely used standardization procedure (zero mean, unit standard deviation) (e.g., Torrence and Compo, 1998; Grin- 25 sted et al., 2004; Labat, 2005). www.hydrol-earth-syst-sci.net/23/1/2019/ Hydrol....
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...The 95 % confidence level was calculated for contours and edge effects’ area following the method of Torrence and Compo (1998)....
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4,586 citations
"Contribution of low-frequency clima..." refers background or methods or result in this paper
...Such a consistent varying phase lag implies a phase-locked relationship and suggests a physical link (i.e., not a casual relationship) between the streamflow25 variability and each of the climatic–oceanographic indices (Grinsted et al., 2004; Labat, 2005)....
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...Spectral analyses such as wavelet transform (WT) and the Hilbert–Huang transform (HHT) (Grinsted et al., 2004; Labat et al., 2005; Tor- 90 rence and Compo, 1998; Massei and Fournier, 2012; Schulte et al., 2016) have proven useful for identifying the timing of important features of non-stationary…...
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...…high common powers and relative phases in a time–frequency space, whereas the WTC finds significant coherence even with a low common power and shows confidence levels against red noise, highlighting locally phase-locked patterns 15 (Shumway and Stoffer, 2004; Grinsted et al., 2004; Labat, 2005)....
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...The WTC spectrum highlights the intensity of the covariance of these signals, regardless of the highpower display (Grinsted et al., 2004; Nalley et al., 2016)....
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...The Morlet wavelet also allows us to describe the hydrological 45 data structure as well as to have better frequency resolution (Grinsted et al., 2004; Labat, 2005)....
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3,227 citations
"Contribution of low-frequency clima..." refers background in this paper
...These fluvial systems possess low streamflow buffering capacity because of their topographic setting (Milliman and Syvitski, 1992), and they are exposed to regional-scale atmospheric– oceanographic processes (Hastenrath, 1990; Enfield and Al- 75 faro, 1999)....
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2,025 citations
"Contribution of low-frequency clima..." refers background in this paper
...In the past several decades, streamflow variability has in- 40 creased (Milliman et al., 2008; Dai et al., 2009), causing frequent and pronounced flood–drought cycles (Huntington, 2006)....
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1,945 citations
"Contribution of low-frequency clima..." refers background or methods in this paper
...In order to determine the frequency25 and energy of each of the signal modes, we define the average frequency (f (n)) and average energy (En) of each mode (Huang et al., 1999, 2009): f (n)= ∞∫ 0 fEn(f )df ∞∫ 0 En(f )df , (7) En = T∫ 0 C2n(t)dt, (8)30 where En is the Fourier power density spectrum....
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...The HHT is an adaptive empirical method used to obtain 65 modes of variability with nonlinear and non-stationary data (Huang et al., 1999)....
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...6), which represents the sum of all ampli-20 tudes (energy) over all data (Barnhart, 2011): h(w)= T∫ 0 H(w,t)dt. (6) The Hilbert marginal spectrum corresponds to the energy associated with each of the frequencies that make up the signal (Huang et al., 1999)....
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...A combination of the algorithm to obtain the functions of intrinsic modes, together with the Hilbert spectral analysis, is called the Hilbert–Huang transform (Huang et al., 1999; Barnhart, 2011).35...
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