2020
DOI: 10.1007/s11356-020-09305-y
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A wavelet coherence analysis: nexus between urbanization and environmental sustainability

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Cited by 54 publications
(29 citation statements)
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“…46 As a matter of fact, the traditional correlation coefficient uses a single value to describe the relationship of two time series, while wavelet consistency can present a matrix to show accurate correlation at each time and frequency point. 20 Another important aspect of applying wavelet method is to overcome the problems of non-stationary time series. The wavelet methodology can easily adjust the time window to low or high frequency, thereby detecting a wide range of frequencies and possessing the ability to capture events that are local in time.…”
Section: Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…46 As a matter of fact, the traditional correlation coefficient uses a single value to describe the relationship of two time series, while wavelet consistency can present a matrix to show accurate correlation at each time and frequency point. 20 Another important aspect of applying wavelet method is to overcome the problems of non-stationary time series. The wavelet methodology can easily adjust the time window to low or high frequency, thereby detecting a wide range of frequencies and possessing the ability to capture events that are local in time.…”
Section: Methodsmentioning
confidence: 99%
“…Complex analytic wavelets are ideal for studying oscillations. 44 We employ the most popular Morlet wavelet following Kirikkaleli and Jr 20 study, which provides a good balance between time and frequency localization. 47 The simplified version of Morlet function is written as follows normalω0 denotes the central frequency, empirically determined as 0.6.…”
Section: Methodsmentioning
confidence: 99%
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“…The continuous wavelet is constructed from as a function of k and f have given time series data p ( t ) as follows: whereas k and f show time and frequency, respectively. “The main role of the k is to define a wavelet's particular location in time by exchanging the wavelet while f controls the distended wavelet for localizing various frequencies.” 35 Equation ( 2 ) presents the modified p(t) with the coefficient. This current study employed the wavelet electricity spectrum (WPS) to gather data about the vulnerability of air pollution on renewable energy production.…”
Section: Methodsmentioning
confidence: 99%
“…The continuous wavelet is constructed from ψ as a function of k and f have given time series data p ( t ) as follows: Wp()k,f=p()t1fψ()truetk¯fitalicdt, whereas k and f show time and frequency, respectively. “The main role of the k is to define a wavelet's particular location in time by exchanging the wavelet while f controls the distended wavelet for localizing various frequencies.” 35 Equation () presents the modified p(t) with the ψ coefficient. p()t=1Cψ0.25em0[]Wpa,b2italicdadbb2. This current study employed the wavelet electricity spectrum (WPS) to gather data about the vulnerability of air pollution on renewable energy production. Therefore, WPS allows us to capture the vulnerable periods and frequencies of the time series variables. WPSp()k,f=Wpk,f2. As referenced, the upside of the wavelet coherence approach against the customary relationship and causality tests is that the methodology draws out any connection or causality effect between air pollution and renewable production in consolidated time‐recurrence‐based causalities.…”
Section: Methodsmentioning
confidence: 99%