Periodicities of solar activity and the surface temperature variation of the Earth and their correlations

Abstract

Based on the well-calibrated systematiCmeasurements of sunspot numbers, the reconstructed data of the total solar irradiance (TSI), and the observed anomalies of the Earth’s averaged surface temperature (global, ocean, land), this paper investigates the periodicities of both solar activity and the Earth’s temperature variation as well as their correlations on the time scale of centuries using the wavelet and cross correlation analysis techniques. The main results are as follows. (1) Solar activities (including sunspot number and TSI) have four major periodic components higher than the 95% significance level of white noise during the period of interest, i.e. 11-year period, 50-year period, 100-year period, and 200-year period. The global temperature anomalies of the Earth have only one major periodic component of 64.3-year period, which is close to the 50-year cycle of solar activity. (2) Significant resonant periodicities between solar activity and the Earth’s temperature are focused on the 22- and 50-year period. (3) Correlations between solar activity and the surface temperature of the Earth on the long time scales are higher than those on the short time scales. As far as the sunspot number is concerned, its correlation coefficients to the Earth temperature are 0.31-0.35 on the yearly scale, 0.58-0.70 on the 11-year running mean scale, and 0.64-0.78 on the 22-year running mean scale. TSI has stronger correlations to the Earth temperature than sunspot number. (4) During the past 100 years, solar activities display a clear increasing tendency that corresponds to the global warming of the Earth (including land and ocean) very well. Particularly, the ocean temperature has a slightly higher correlation to solar activity than the land temperature. All these demonstrate that solar activity has a non-negligible forcing on the temperature change of the Earth on the time scale of centuries.