Carbon Dioxide Time Series Analysis: A New Methodological Approach for Event Screening Categorisation

  • Stefano BianchiEmail author
  • Wolfango Plastino
  • Alcide Giorgio di Sarra
  • Salvatore Piacentino
  • Damiano Sferlazzo
Part of the Springer INdAM Series book series (SINDAMS, volume 38)


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.


CO2 Time series analysis Hurst exponent 



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 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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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Stefano Bianchi
    • 1
    Email author
  • Wolfango Plastino
    • 1
  • Alcide Giorgio di Sarra
    • 2
  • Salvatore Piacentino
    • 2
  • Damiano Sferlazzo
    • 2
  1. 1.Department of Mathematics and PhysicsRoma Tre UniversityRomeItaly
  2. 2.Laboratory for Observations and Analyses of the Earth and ClimateENEARomeItaly

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