Correlation of Time Series of Wolf Numbers and their Derivatives

The results of the study of the correlation of the mean annual Wolf numbers W and their time derivatives W  ' for time shifts of fragments of series W and W  ' relative to each other are presented. The most significant (up to 0.88 and –0.85) correlation and anticorrelation coefficients are...

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Bibliographic Details
Published in:Geomagnetism and Aeronomy 2022-12, Vol.62 (6), p.685-693
Main Authors: Starchenko, S. V., Yakovleva, S. V.
Format: Article
Language:English
Subjects:
Correlation coefficient
Correlation coefficients
Earth and Environmental Science
Earth Sciences
Fragments
Geophysics/Geodesy
Solar cycle
Sunspot numbers
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Summary:The results of the study of the correlation of the mean annual Wolf numbers W and their time derivatives W  ' for time shifts of fragments of series W and W  ' relative to each other are presented. The most significant (up to 0.88 and –0.85) correlation and anticorrelation coefficients are obtained with shifts of 2 or 3 years for fragments covering two 11-year cycles. For longer fragments, the coefficients remain significant (at levels of approximately ±0.8) at the same shifts. Therefore, the phase shift between W and W  ' is approximately one-quarter of the solar cycle, which physically corresponds to the predominant connection of spots with magnetic energy. At the same time, there is also a significant shift by 8–9 years, which corresponds to correlation coefficients at levels of approximately ±0.75 associated with the magnetic energy variability. The prognostic potentials of the obtained correlation dependences are discussed.
ISSN:0016-7932
1555-645X
0016-7940
DOI:10.1134/S0016793222050164