Abstract
A new method for time series analysis allowing the description of background evolution and outliers was developed. This approach was tested on CO2 weekly measurements made at Mauna Loa, Hawaii, and Lampedusa, Italy, for a period (1992–2014) longer than the 11-year solar cycle. After the time series was detrended, the Generalised Lomb-Scargle periodogram was computed for frequency domain analysis. All frequencies corresponding to values in the spectrum higher than a threshold were filtered out, and the time series was reduced to residuals. Residuals were analysed principally focusing on persistency, inspected via detrended fluctuation analysis. The analysis allows to highlight similarities and differences between the two stations. Annual and semi-annual periods are present in both the time series, with significantly larger amplitudes at Lampedusa than at Mauna Loa, where however they explain about 83% of the variability, compared to about 62% at Lampedusa. Remarkably, a different Hurst exponent was found, with a value corresponding to pink noise for Mauna Loa, and a smaller value (about 0.80) for Lampedusa. This is attributed to the different characteristics of the two stations.
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Artuso, F., Chamard, P., Piacentino, S., Sferlazzo, D.M., De Silvestri, L., di Sarra, A., Meloni, D., Monteleone, F.: Influence of transport and trends in atmospheric CO2 at Lampedusa. Atmos. Environ. 43, 3044–3051 (2009)
Bianchi, S., Longo, A., Plastino, W., Povinec, P.: Evaluation of 7Be and 133Xe atmospheric radioactivity time series measured at four CTBTO radionuclide stations. Appl. Radiat. Isot. 132, 24–28 (2018)
Chamard, P., Thiery, F., di Sarra, A., Ciattaglia, L., De Silvestri, L., Grigioni, P., Monteleone, F., Piacentino, S.: Interannual variability of atmospheric CO2 in the Mediterranean: measurements at the island of Lampedusa. Tellus 55B, 83–93 (2003)
Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., et al.: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. Lond. A Math. Phys. Eng. Sci. 454 903–995 (1998)
Ihlen, E.A.: Introduction to multifractal detrended fluctuation analysis in Matlab. Fractal Anal. 3, 97 (2012)
Kane, R.P., de Paula, E.R.: Atmospheric CO2 changes at Mauna Loa, Hawaii. J. Atmos. Terr. Phys. 58, 1673–1681 (1996)
Komhyr, W.D., Gammon, R.H., Harris, T.B., Waterman, L.S., Conway, T.J., Taylor, W.R., Thoning, K. W.: Global atmospheric CO2 distribution and variations from 1968–1982 NOAA/GMCC CO2 flask sample data. J. Geophys. Res. 90, 5567–5596 (1985)
Lomb, N.R.: Least-squares frequency analysis of unequally spaced data. Astrophys. Space Sci. 39(2), 447–462 (1976)
Nakazawa, T., Ishizawa, M., Higuchi, K., Trivett, N.B.A.: Two curve fitting methods applied to CO2 flask data. Environmetrics 8, 197–218 (1997)
Peng, C.K., Buldyrev, S.V., Goldberger, A.L., Havlin, S., Simons, M., Stanley, H.E.: Finite-size effects on long-range correlations: implications for analyzing DNA sequences. Phys. Rev. E 47(5), 3730 (1993)
Press, W.H., Rybicki, G.B.: Fast algorithm for spectral analysis of unevenly sampled data. Astrophys. J. 338, 277–280 (1989)
Thoning, K.W., Tans, P.P., Komhyr, W.D.: Atmospheric carbon dioxide at Mauna Loa Observatory, 2. Analysis of the NOAA/GMCC data, 1974–1985. J. Geophys. Res. 94, 8549–8565 (1989)
Varotsos, C., Assimakopoulos, M.N., Efstathiou, M.: Technical note: long-term memory effect in the atmospheric CO2 concentration at Mauna Loa. Atmos. Chem. Phys. 7, 629–634 (2007)
Zeichmeister, M., Kürster, M.: The generalised Lomb-Scargle periodogram: a new formalism for the floating-mean and Keplerian periodograms. Astron. Astrophys. 496(2), 577–584 (2009)
Acknowledgements
Thanks are due to the National Oceanographic and Atmospheric Administration/Earth System Research Laboratory for providing weekly CO2 data at Mauna Loa. Data have been downloaded from ftp://aftp.cmdl.noaa.gov/data/trace_gases/co2. Measurements at Lampedusa have been partly supported by the Italian Ministry for University and Research through the NextData Project, and by the European Union through Projects CarboEurope, IMECC, and GHG-Europe. Contributions by Francesco Monteleone are gratefully acknowledged.
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Bianchi, S., Plastino, W., di Sarra, A.G., Piacentino, S., Sferlazzo, D. (2020). Carbon Dioxide Time Series Analysis: A New Methodological Approach for Event Screening Categorisation. In: Cannarsa, P., Mansutti, D., Provenzale, A. (eds) Mathematical Approach to Climate Change and its Impacts. Springer INdAM Series, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-030-38669-6_7
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DOI: https://doi.org/10.1007/978-3-030-38669-6_7
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