Fractal analysis of temporal variation of air pollutant concentration by box counting

Fractal analysis of temporal variation of air pollutant concentration by box counting,10.1016/S1364-8152(02)00078-6,Environmental Modelling and Softwa

Fractal analysis of temporal variation of air pollutant concentration by box counting   (Citations: 11)
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The scale-invariant behavior of air pollutant concentration (APC) time structure was investigated by applying the box counting method to APC time series. One-year series of hourly average APC observations, including O3, CO, SO2, NO, NO2, and PM10 which were obtained from urban, traffic, and national park air monitoring station at Taipei (Taiwan), were transferred into a useful compact form through this method, namely, the box-dimension (DB)-threshold (Th) and critical scale (CS)-threshold (Th) plots. The validity of this approach was supported with the result that the practical implications of DB-Th (or CS-Th) plots could be interpreted in terms of traditional statistical parameters. Since the dependences of both DB and CS on the Th values were closely related to the variation of APC in time, they were used to characterize the temporal distribution of APC. The analysis confirmed the existence of scale invariance in those investigated APC time series. Moreover, the DB (CS) was shown to be a decreasing (increasing) function of the threshold level, implying multifractal characteristics, i.e. the weak and intense regions scale differently. Some practical applications based on the box counting method were also discussed.
Journal: Environmental Modelling and Software - ENVSOFT , vol. 18, no. 3-4, pp. 243-252, 2003
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    • ...A large number of methods are available in the literature to analyze and forecast the time series, such as deterministic model (Saarikoski et al. 2007), statistical analysis (Slini et al. 2006; Chen et al. 2001; Horowitz and Barakat 1979), neural networks (Schlink et al. 2006; Gomez-Sanchis et al. 2006; Ibarra-Berastegi et al. 2008; Kurt et al. 2008; Kukkonen et al. 2003), multi-fractal analysis (Ho et al. 2004; Lee 2002; Lee et al. 2003), ...

    Bo Yuet al. A chaotic analysis on air pollution index change over past 10 years in...

    • ...These recent works have been shown that a lot of air pollutants concentrations time series are characterized by self-similarity, scale invariance, long range dependence and multi-fractal scaling [5-9]...

    Shi Kaiet al. The Temporal Variation of PM10 Pollution Indexes: Fractal and Multifra...

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