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Power spectrum and Fisher–Shannon information plane analysis of tidal records

Author

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  • Lovallo, Michele
  • Pierini, Jorge O.
  • Telesca, Luciano

Abstract

The time dynamics of tidal fluctuations measured in three sites in Bahia Blanca Estuary (central Argentina), Ingeniero White, Puerto Belgrano and Torre Mareografica, are analyzed. To investigate the time series of the tidal waves we used two different approaches: the power spectral density (PSD) and the Fisher–Shannon (FS) information plane. The PSD permitted: (i) the identification of diurnal, semi-diurnal and higher frequency cycles in all the three tidal signals, and (ii) the detection of two different dynamical regimes (scaling and white-noise), involving respectively timescales lower and higher than about 2–2.5 days. The FS method, which allows to gain insight into the complex structure of a time series, quantifying its degree of organization and order, was applied to the residual tidal series (after removing the main cycles) and permitted to identify a period of low organization in the tidal signal measured at Puerto Belgrano.

Suggested Citation

  • Lovallo, Michele & Pierini, Jorge O. & Telesca, Luciano, 2012. "Power spectrum and Fisher–Shannon information plane analysis of tidal records," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4711-4719.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4711-4719
    DOI: 10.1016/j.physa.2012.05.047
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    References listed on IDEAS

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    1. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook9401, December.
    2. Telesca, Luciano & Lovallo, Michele & Hsu, Han-Lun & Chen, Chien-Chih, 2011. "Analysis of dynamics in magnetotelluric data by using the Fisher–Shannon method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1350-1355.
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    4. Telesca, Luciano, 2007. "Cycles, scaling and crossover phenomenon in length of the day (LOD) time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 459-464.
    5. Telesca, Luciano & Lovallo, Michele & Ramirez-Rojas, Alejandro & Angulo-Brown, Fernando, 2009. "A nonlinear strategy to reveal seismic precursory signatures in earthquake-related self-potential signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2036-2040.
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