Abstract
Ozone is a secondary pollutant that, at high concentrations in urban environment, affects human health. Thus, suitable knowledge of ozone dynamics is essential for avoiding undesirable effects on the population. Ten-minute ozone concentration time series recorded at Córdoba (southern Spain) in 2007, for January, April, July and October, have been analysed by using the strange attractor multifractal formalism with the aim of describing the seasonal pattern of this pollutant. The multifractal nature of ozone concentration was detected in a study of the mass exponent functions for autumn–winter and spring–summer seasons. Multifractal spectra showed a greater heterogeneity in the low values of the time series. The presence of rare values in ozone data sets was also investigated, showing that the multifractal approach provided considerable detailed information on the time series structure that completes the statistical descriptive analysis.
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References
Adame, J. A., Lozano, A., Bolívar, J. P., De la Morena, B. A., Contreras, J., & Godoy, F. (2008). Behavior, distribution and variability of surface ozone at an arid region in the south of Iberian Peninsula (Seville, Spain). Chemosphere, 70, 841–849.
Beig, G., Gunthe, S., & Jadhav, D. B. (2007). Simultaneous measurements of ozone and its precursors on a diurnal scale at a semi urban site in India. Journal of Atmospheric Chemistry, 57, 239–253. doi:10.1007/s10874-007-9068-8.
Chan, L. Y., Chan, C. Y., & Qin, Y. (1998). Surface ozone pattern in Hong Kong. Journal of Applied Meteorology, 37, 1153–1165. doi:10.1175/1520-0450(1998)037<1153:SOPIHK>2.0.CO;2.
Chen, J. L., Islam, S., & Biswas, P. (1998). Nonlinear dynamics of hourly ozone concentrations: Nonparametric short term prediction. Atmospheric Environment, 32, 1839–1848. doi:10.1016/S1352-2310(97)00399-3.
Chhabra, A. B., & Jensen, R. V. (1989). Direct determination of the f(α) singularity spectrum. Physical Review Letters, 62, 1327–1330. doi:10.1103/PhysRevLett.62.1327.
Chhabra, A. B., Meneveau, C., Jensen, R. V., & Sreenivasan, K. R. (1989). Direct determination of the f(α) singularity spectrum and its application to fully developed turbulence. Physical Review A, 40, 5284–5294. doi:10.1103/PhysRevA.40.5284.
Dueñas, C., Fernandez, M. C., Cañete, S., Carretero, J., & Liger, E. (2002). Assessment of ozone variations and meteorological effects in an urban area in the Mediterranean Coast. The Science of the Total Environment, 299, 97–113. doi:10.1016/S0048-9697(02)00251-6.
Evertsz, C. J. G., & Mandelbrot, B. B. (1992). Multifractal measures (Appendix B). In H. O. Peitgen et al. (Eds.), Chaos and fractals (pp. 922–953). New York: Springer.
Feder, J. (1988). Fractals. New York: Plenum.
Fuentes, J. D., & Dann, T. F. (1994). Ground-level ozone in eastern Canada—seasonal-variations, trends, and occurrences of high-concentrations. Journal of the Air & Waste Management Association, 44, 1019–1026.
Gerasopoulos, E., Kouvarakis, G., Vrekoussis, M., Donoussis, C., Mihalopoulos, N., & Kanakidou, M. (2006). Photochemical ozone production in the eastern Mediterranean. Atmospheric Environment, 40, 3057–3069. doi:10.1016/j.atmosenv.2005.12.061.
Grassberger, P. (1983). Generalized dimensions of strange attractors. Physics Letters. [Part A], 97, 227–230. doi:10.1016/0375-9601(83)90753-3.
Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I., & Shraiman, B. I. (1986). Fractal measures and their singularities: The characterization of strange sets. Physical Review A, 33, 1141–1151. doi:10.1103/PhysRevA.33.1141.
Hentschel, H. G. E., & Procaccia, I. (1983). The infinite number of generalized dimensions of fractals and strange attractors. Physica D. Nonlinear Phenomena, 8, 435–444. doi:10.1016/0167-2789(83)90235-X.
Kantelhardt, J. W., Zschiegner, S. A., Koscielny-Bunde, E., Havlin, S., Bunde, A., & Stanley, H. E. (2002). Multifractal detrended fluctuation analysis of nonstationary time series. Physica A-Statistical Mechanics and its Applications, 316, 87–114.
Klement, S., & Kratky, K. W. (1997). Multifractal analysis of airborne particle count data: The influence of data preprocessing. Aerosol Science and Technology, 26, 12–20. doi:10.1080/02786829708965411.
Kocak, K., Saylan, L., & Sen, O. (2000). Nonlinear time series prediction of O3 concentration in Istanbul. Atmospheric Environment, 34, 1267–1271. doi:10.1016/S1352-2310(99)00323-4.
Kravchenko, A. N., Boast, C. W., & Bullock, D. G. (1999). Multifractal analysis of soil spatial variability. Agronomy Journal, 91, 1033–1041.
Lal, S., Naja, M., & Subbaraya, B. H. (2000). Seasonal variations in surface ozone and its precursors over an urban site in India. Atmospheric Environment, 34, 2713–2724. doi:10.1016/S1352-2310(99)00510-5.
Lee, C. K. (2002). Multifractal characteristics in air pollutant concentration time series. Water, Air, and Soil Pollution, 135, 389–409. doi:10.1023/A:1014768632318.
Lee, C. K., Juang, L. C., Wang, C. C., Liao, Y. Y., Yu, C. C., Liu, Y. C., et al. (2006). Scaling characteristics in ozone concentration time series (OCTS). Chemosphere, 62, 934–946. doi:10.1016/j.chemosphere.2005.05.046.
Peña, R. M., Garcia, S., Herrero, C., & Lucas, T. (2000). Spatial and temporal ozone pattern concentrations in a NW region of Spain. Water, Air, and Soil Pollution, 117, 289–303. doi:10.1023/A:1005125910361.
Sebald, L., Treffeisen, R., Reimer, E., & Hies, T. (2000). Spectral analysis of air pollutants. Part 2: Ozone time series. Atmospheric Environment, 34, 3503–3509. doi:10.1016/S1352-2310(00)00147-3.
Sillman, S. (1999). The relation between ozone, NO x and hydrocarbons in urban and polluted rural environments. Atmospheric Environment, 33, 1821–1845. doi:10.1016/S1352-2310(98)00345-8.
Sivakumar, B., Wallender, W. W., Horwath, W. R., & Mitchell, J. P. (2007). Nonlinear deterministic analysis of air pollution dynamics in a rural and agricultural setting. Advances in Complex Systems, 10, 581–597. doi:10.1142/S0219525907001288.
So, K. L., & Wang, T. (2003). On the local and regional influence on ground-level ozone concentrations in Hong Kong. Environmental Pollution, 123, 307–317. doi:10.1016/S0269-7491(02)00370-6.
Tsai, D. H., Wang, M. L., Wang, C. H., & Chan, C. C. (2008). A study of ground-level ozone pollution, ozone precursors and subtropical meteorological conditions in central Taiwan. Journal of Environmental Monitoring, 10, 109–118. doi:10.1039/b714479b.
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Jiménez-Hornero, F.J., Gutiérrez de Ravé, E., Ariza-Villarverde, A.B. et al. Description of the seasonal pattern in ozone concentration time series by using the strange attractor multifractal formalism. Environ Monit Assess 160, 229–236 (2010). https://doi.org/10.1007/s10661-008-0690-y
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DOI: https://doi.org/10.1007/s10661-008-0690-y