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Multifractal analysis of air temperature in Brazil

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  • da Silva, Hérica Santos
  • Silva, José Rodrigo Santos
  • Stosic, Tatijana

Abstract

In view of current concerns over global warming and climate change, in order to contribute to a better geographically explicit understanding of complexity of temperature dynamics over the territory of Brazil over the last three decades, in this work we investigate multifractal properties of daily means of air temperature recorded at 265 meteorological stations, by using multifractal detrended fluctuation analysis. All series exhibit persistent long-term correlations (indicated by a Hurst exponent larger than 0.5), and multifractality with dominance of small fluctuations (indicated by right skewed multifractal spectrum). Northern and northeastern parts of this continental size country (that belong to tropical and semi-arid climate zone) exhibit stronger persistency and weaker multifractality, while southern part of the country (that belongs to sub-tropical climate zone) exhibits opposite characteristics, weaker persistency and stronger multifractality. This study contributes to a better understanding of the stochastic processes that generate air temperature variability in Brazil over the last decades.

Suggested Citation

  • da Silva, Hérica Santos & Silva, José Rodrigo Santos & Stosic, Tatijana, 2020. "Multifractal analysis of air temperature in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    • Handle: RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437120301114
    DOI: 10.1016/j.physa.2020.124333
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    3. Gómez-Gómez, Javier & Carmona-Cabezas, Rafael & Ariza-Villaverde, Ana B. & Gutiérrez de Ravé, Eduardo & Jiménez-Hornero, Francisco José, 2021. "Multifractal detrended fluctuation analysis of temperature in Spain (1960–2019)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    4. Farhang Rahmani & Mohammad Hadi Fattahi, 2021. "A multifractal cross-correlation investigation into sensitivity and dependence of meteorological and hydrological droughts on precipitation and temperature," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 109(3), pages 2197-2219, December.
    5. Gómez-Gómez, Javier & Carmona-Cabezas, Rafael & Sánchez-López, Elena & Gutiérrez de Ravé, Eduardo & Jiménez-Hornero, Francisco José, 2022. "Multifractal fluctuations of the precipitation in Spain (1960–2019)," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    6. Jessica B. Moraes & Henderson S. Wanderley & Rafael C. Delgado, 2023. "Areas susceptible to desertification in Brazil and projected climate change scenarios," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 116(2), pages 1463-1483, March.
    7. Milena Kojić & Petar Mitić & Marko Dimovski & Jelena Minović, 2021. "Multivariate Multifractal Detrending Moving Average Analysis of Air Pollutants," Mathematics, MDPI, vol. 9(7), pages 1-17, March.

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