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Generalized Statistical Complexity Measure: recent ap p lications.

Generalized Statistical Complexity Measure: recent ap p lications. Dr . Osvaldo A. Rosso Departamento de Física, Instituto de Ciências Exatas , Universidade Federal de Minas Gerais (UFMG ), Belo Horizonte, Brazil Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales,

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Generalized Statistical Complexity Measure: recent ap p lications.

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  1. Generalized Statistical Complexity Measure: recent applications. Dr. Osvaldo A. Rosso Departamento de Física, Instituto de CiênciasExatas, Universidade Federal de Minas Gerais (UFMG), Belo Horizonte, Brazil Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires (UBA), Buenos Aires, Argentina oarosso@gmail.com oarosso@fibertel.com.ar

  2. Alejandra Figliola ( Buenos Aires, Argentina) Eduardo Serrano (Buenos Aires, Argentina) Maria Teresa Martín (La Plata, Argentina) Angel Plastino (La Plata, Argentina) Hilda Larrondo (Mar del Plata, Argentina) Laura Carpi (Newcastle, Australia) Patricia Saco (Newcastle, Australia) MartínGómez-Ravetti (Belo Horizonte, Brazil) Collaborators

  3. Quantifiers • Normalized Shannon Entropy • Fisher Information Measure • MPR – Statistical Complexity • Missing ordinal patterns

  4. Quantifiers

  5. Probability Distribution

  6. Bandt-Pompe Methodology for PDF Ordinal patterns in a simple time series. (A) Ordinal patterns at the dimension d = 3. (B) Illustration of the ordinal procedure for d = 3 for sine and white noise time series. (C) Probability distribution of ordinal patterns π.

  7. EL Niño/Southern Oscillation during the Holocene • We study the dynamics of the Holocene proxy ENSO record corresponding to the Laguna Pallcacocha sedimentary data. • Specifically, we analyse temporal changes in dynamics over the last 11000 years using Information Theory quantifiers. • Data: The proxy record was obtained from the analysis of clasticlaminae deposition in two 8-m sediment cores retrieved from the Pallcacocha Lake in Ecuador. Moy et al. “Variability of El Niño Southern Oscillation activity at millennial times during the Holocene epoch”. Nature 420 (2002) 162-165

  8. EL Niño/Southern Oscillation during the Holocene • Information Theory Quantifiers: H, F, C, missing patterns. • We computed the evolution of the quantifiers through time using a sliding time window of 1000 data values with a lag of 100 data values between successive windows. • A sliding window was used to allow for a better localization of changes in the dynamics of ENSO through time (ENSO period 3 to 7 years). • PDF-Histograms: The N_bins = 100 in the interval [38.06, 243.06] (defined by the minimum and maximum amplitude values of the complete time series). • PDF-Bandt-Pompe: length of patterns of D=5.

  9. EL Niño/Southern Oscillation during the Holocene The grey bands correspond to the major periods of Holocene rapid climate change (RCC).

  10. EL Niño/Southern Oscillation during the Holocene The grey bands correspond to the major periods of Holocene rapid climate change (RCC).

  11. EL Niño/Southern Oscillation during the Holocene The grey bands correspond to the major periods of Holocene rapid climate change (RCC).

  12. EL Niño/Southern Oscillation during the Holocene

  13. EL Niño/Southern Oscillation during the Holocene

  14. Chaos & Noise

  15. Chaos & Noise

  16. Chaos & Noise

  17. Chaos & Noise

  18. Chaos & Noise

  19. Chaos & Noise

  20. Chaos & Noise

  21. Questions & Suggestions • Thanks a lot !!! • Muito obrigado !!! • Muchasgracias !!!

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