Journal of Interfaces, Thin Films, and Low dimensional systems

Fractal analysis of GISS Earth's surface temperature data

Document Type : Original Article

Authors

1 Department of Condensed Matter Physics, Faculty of Physics, Alzahra University, Tehran, Iran

2 Department of Physics, East Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

Rising temperature plays a significant role in global warming and has consequences on human health conditions, ecosystems, energy etc. Hence, studying and monitoring its states will help scientists seek solutions to prevent its harmful effects. In this study, we investigated the Earth's surface temperature anomaly fluctuations by fractal analysis. We gathered the temperature anomaly dataset including land and sea surface temperatures. The maximum, minimum, and average temperatures of each year were investigated. Furthermore, we used multifractal detrended fluctuation analysis (MF-DFA) to figure out whether these fluctuations appear randomly or follow a rule. By removing the trend and applying the MFDFA on data, the Hurst exponent obtained as H=0.83±0.02, which means a positive long-term correlation exists among data that causes the increasing trend. Besides, the scalability exponent, τ(q), and the singularity spectrum, f(α), were plotted, and both of them approved the multifractality for the temperature dataset. To discover what is the cause of multifractality, the main, shuffling, and surrogating data were evaluated. The results depicted both the long correlation for small and large fluctuations and the distribution deviation from Gaussian distribution have effects on the multifractal behavior of the data, but according to the graph, the long correlation is more effective.

Keywords

Main Subjects

Article Title [Persian]

آنالیز فراکتالی داده های GISS دمای سطح زمین

Authors [Persian]

  • مائده لک 1
  • سکینه حسین آبادی 2
  • امیرعلی مسعودی 1

1 گروه فیزیک ماده چگال، دانشکده فیزیک، دانشگاه الزهرا، تهران، ایران

2 گروه فیزیک، دانشگاه آزاد اسلامی، واحد تهران شرق، تهران، ایران

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Journal of Interfaces, Thin Films, and Low dimensional systems
Volume 7, Issue 1
December 2023
Pages 721-729