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Multifractal behavior of wild-land and forest fire time series in Brazil

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  • de Benicio, Rosilda B.
  • Stošić, Tatijana
  • de Figueirêdo, P.H.
  • Stošić, Borko D.

Abstract

We examine statistical properties of a daily hot pixel time series recorded in Brazil during the period 1998–2006, using Multifractal Detrended Fluctuation Analysis (MF-DFA). We find that generalized scaling exponent h(q) is a decreasing function of q, indicating multifractal behavior of hot pixel dynamics. We also calculate multifractal spectra f(α) and use fourth-degree polynomial regression to estimate complexity parameters that describe the degree of multifractality of the underlying process. After July 2002, when a significant increase of the number of hot pixel observations is recorded, the complexity of the series is reduced (manifested by the reduction of width of the f(α) spectrum), while small fluctuations increase their dominance over large scale fluctuations (manifested by the increase of skew parameter r). These results should be taken into account when devising ecological and climatic models for Brazil, that contemplate the phenomena of wild-land and forest fires.

Suggested Citation

  • de Benicio, Rosilda B. & Stošić, Tatijana & de Figueirêdo, P.H. & Stošić, Borko D., 2013. "Multifractal behavior of wild-land and forest fire time series in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6367-6374.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:24:p:6367-6374
    DOI: 10.1016/j.physa.2013.08.012
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    2. Correia, J.P. & de Lima, M.M.F. & Silva, R. & Anselmo, D.H.A.L. & Vasconcelos, M.S. & Viswanathan, G.M., 2023. "Multifractal analysis of coronavirus sequences," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Santos, Fábio Sandro dos & Nascimento, Kerolly Kedma Felix do & Jale, Jader da Silva & Stosic, Tatijana & Marinho, Manoel H.N. & Ferreira, Tiago A.E., 2021. "Mixture distribution and multifractal analysis applied to wind speed in the Brazilian Northeast region," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    4. Mali, P. & Sarkar, S. & Ghosh, S. & Mukhopadhyay, A. & Singh, G., 2015. "Multifractal detrended fluctuation analysis of particle density fluctuations in high-energy nuclear collisions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 25-33.
    5. Stošić, Darko & Stošić, Dusan & Stošić, Tatijana & Stanley, H. Eugene, 2015. "Multifractal analysis of managed and independent float exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 13-18.
    6. Stosic, Tatijana & Telesca, Luciano & Lemos da Costa, Simara Lúcia & Stosic, Borko, 2016. "Identifying drought-induced correlations in the satellite time series of hot pixels recorded in the Brazilian Amazon by means of the detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 660-666.
    7. Delbianco, Fernando & Tohmé, Fernando & Stosic, Tatijana & Stosic, Borko, 2016. "Multifractal behavior of commodity markets: Fuel versus non-fuel products," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 573-580.
    8. Fernandes, Leonardo H.S. & Araújo, Fernando H.A. & Silva, Igor E.M. & Leite, Urbanno P.S. & de Lima, Neílson F. & Stosic, Tatijana & Ferreira, Tiago A.E., 2020. "Multifractal behavior in the dynamics of Brazilian inflation indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    9. Stosic, Tatijana & Stosic, Borko, 2024. "Generalized weighted permutation entropy analysis of satellite hot-pixel time series in Brazilian biomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).

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