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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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    1. Kantelhardt, Jan W. & Rybski, Diego & Zschiegner, Stephan A. & Braun, Peter & Koscielny-Bunde, Eva & Livina, Valerie & Havlin, Shlomo & Bunde, Armin, 2003. "Multifractality of river runoff and precipitation: comparison of fluctuation analysis and wavelet methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 330(1), pages 240-245.
    2. Kaushik Matia & Yosef Ashkenazy & H. Eugene Stanley, 2003. "Multifractal Properties of Price Fluctuations of Stocks and Commodities," Papers cond-mat/0308012, arXiv.org.
    3. Telesca, Luciano & Lasaponara, Rosa, 2010. "Analysis of time-scaling properties in forest-fire sequence observed in Italy," Ecological Modelling, Elsevier, vol. 221(1), pages 90-93.
    4. Drossel, B. & Schwabl, F., 1992. "Self-organized criticality in a forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 47-50.
    5. Tuia, Devis & Lasaponara, Rosa & Telesca, Luciano & Kanevski, Mikhail, 2008. "Emergence of spatio-temporal patterns in forest-fire sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3271-3280.
    6. Zheng, Hongyang & Song, Weiguo & Wang, Jian, 2008. "Detrended fluctuation analysis of forest fires and related weather parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2091-2099.
    7. Zheng, Hongyang & Song, Weiguo & Satoh, Kohyu, 2010. "Detecting long-range correlations in fire sequences with Detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 837-842.
    8. Lasaponara, Rosa & Santulli, Adriano & Telesca, Luciano, 2005. "Time-clustering analysis of forest-fire sequences in southern Italy," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 139-149.
    9. Wang, Jian & Song, Weiguo & Zheng, Hongyang & Telesca, Luciano, 2010. "Temporal scaling behavior of human-caused fires and their connection to relative humidity of the atmosphere," Ecological Modelling, Elsevier, vol. 221(1), pages 85-89.
    10. Kavasseri, Rajesh G. & Nagarajan, Radhakrishnan, 2005. "A multifractal description of wind speed records," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 165-173.
    11. Pinho, Suani T.R. & Andrade, Roberto F.S., 1998. "An Abelian model for rainfall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(3), pages 483-495.
    12. Lin, Jianyi & Rinaldi, Sergio, 2009. "A derivation of the statistical characteristics of forest fires," Ecological Modelling, Elsevier, vol. 220(7), pages 898-903.
    13. Ghermandi, Luciana & Lasaponara, Rosa & Telesca, Luciano, 2010. "Intra-annual time dynamical patterns of fire sequences observed in Patagonia (Argentina)," Ecological Modelling, Elsevier, vol. 221(1), pages 94-97.
    14. Tuia, Devis & Lasaponara, Rosa & Telesca, Luciano & Kanevski, Mikail, 2007. "Identifying spatial clustering phenomena in forest-fire sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 596-600.
    15. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    16. Turcotte, Donald L & Malamud, Bruce D, 2004. "Landslides, forest fires, and earthquakes: examples of self-organized critical behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(4), pages 580-589.
    17. Telesca, Luciano & Song, Weiguo, 2011. "Time-scaling properties of city fires," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 558-568.
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    4. 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).
    5. 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).
    6. 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.
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