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Experimental data from the National Air Surveillance Network of Japan from1974 to 1996 and from independent measurements performed simultaneously in theregions of Ljubljana (Slovenia), Odessa (Ukraine) and the Ukrainian"Academician Vernadsky" Antarctic station (64{\deg}15'W; 65{\deg}15'S), wherethe air elemental composition was determined by the standard method ofatmospheric particulate matter (PM) collection on nucleopore filters andsubsequent neutron activation analysis, were analyzed. Comparative analysis ofdifferent pairs of atmospheric PM element concentration data sets, measured indifferent regions of the Earth, revealed a stable linear (on a logarithmicscale) correlation, showing a power law increase of every atmospheric PMelement mass and simultaneously the cause of this increase - fractal nature ofatmospheric PM genesis. Within the framework of multifractal geometry we showthat the mass (volume) distribution of atmospheric PM elemental components is alog normal distribution, which on a logarithmic scale with respect to therandom variable (elemental component mass) is identical to normal distribution.This means that the parameters of two-dimensional normal distribution withrespect to corresponding atmospheric PM-multifractal elemental componentsmeasured in different regions, are a priory connected by equations of directand inverse linear regression, and the experimental manifestation of this factis the linear correlation between the concentrations of the same elementalcomponents in different sets of experimental atmospheric PM data.

atmospheric and climate science

On the Fractal Mechanism of Interrelation Between the Genesis, Size and  Composition of Atmospheric Particulate Matters in Different Regions of the  Earth