2013/05/03 by A. M. Selvam, Selvam, A. M.
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Complex Systems and Time Series Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.1305.1188
openalex publication_date 2013/05/03 · openalex created_date 2022/08/20 · openalex updated_date 2026/07/28
Meteorological parameters, such as temperature, rainfall, pressure etc., exhibit selfsimilar space-time fractal fluctuations generic to dynamical systems in nature such as fluid flows, spread of forest fires, earthquakes, etc. The power spectra of fractal fluctuations display inverse power-law form signifying long-range correlations. The author has developed a general systems theory which predicts universal inverse power-law form incorporating the golden mean for the fractal fluctuations of all size scales, i.e., small, large and extreme values. The model predicted distribution is in close agreement with observed fractal fluctuations in the historic month-wise temperature (maximum and minimum) and rainfall in the UK region. The present study suggests that fractal fluctuations result from the superimposition of an eddy continuum fluctuations. The observed extreme values result from superimposition of maxima (or minima) of dominant eddies (waves) in the eddy continuum.