Cross wavelet analysis of the relationship between total solar irradiance and sunspot number

Abstract

Using the observational data of total solar irradiance (TSI) from 1976 to 2006, the evolution of total solar irradiance and the relationship between TSI and sunspot number (SSN) have been analyzed with the wavelet technique. The results of the continuous wavelet transform (CWT) indicate that the TSI has multi-scale evolutionary characteristics. In the low frequency band, the TSI and SSN show similar variation with a significant and steady oscillation period from 8 to 11.4 a. While in the high frequency band, only around the maximum time of solar cycles, both the TSI and SSN present a significant intermittent oscillation period from 2 to 6 months. The results of the cross wavelet transform indicate that there is significant in-phase resonance oscillation between the TSI and SSN in 8-11.4 a band, where the variation of the SSN is 2 months ahead of that of TSI. Those results confirm the SSN as the primary cause for TSI's periodic variation in the time scale of 8-11.4 a. However for the 2-6 month band, significant resonance periodicity is observed only within the maximum time of solar cycle, but the phase relationship between the TSI and SSN is unsteady. Finally, a reliable TSI monthly series from 1878 to 1975 is reconstructed and tested.total solar irradiance, sunspot number, cross wavelet, phase relationship, reconstruction Citation:Yang R W, Cao J, Huang W, et al. Cross wavelet analysis of the relationship between total solar irradiance and sunspot number.

Climate Change and Grain Production Fluctuations

“…SSN affects on Total Solar Irradiance (TSI) seems to call out sun from the causes of climate change (e.g. [48]) even if the complexity of the Sun-Earth system make conclusions still hard to be done (e.g. [13]).…”

Variations of the planet juncture index and heliocentric longitude with spectral analysis for approximately 2000 years

“…众多研究表明, 太阳活动具有周期性变 化规律 [5,6] ; 其中以太阳黑子约11 a的周期 [7,8] 和太阳 磁场极性约22 a的周期性 [9] 变化最为显著. 赵明宇等 人 [10] 、杨若文等人 [11] 对太阳黑子与太阳活动之间的 关系进行了深入的研究, Haigh [12] , Friis-Christensen和 Lassen [13] 、赵新华和冯学尚 [14] 、刘立波等人 [15] 、赵 平等人 [16] 在太阳活动对全球气候及地表环境的影响 取得了可喜的成果; 太阳活动的周期性变化导致了 地球表层环境和全球气候也具有类似的周期性变化 规律 [17] . 多年来关于太阳活动的周期性韵律产生的 机制 [18,19] 逐渐产生多种不同的形成理论, 其中以太 阳质心绕太阳系质心的周期性运动与太阳活动具有 一定的同步性成为当前学者关注的焦点 [20~23] .…”

Contrast analysis between the trajectory of the planetary system and the periodicity of solar activity

“…Yang and Yang (2013) and Li et al (2010) used this index and found an 11-year period for the sunspot and a 22-year period for the magnetic solar activity (Qu, 2007). Yang et al (2010) and conducted much research on the sunspot cycle. Friis-Christensen and Lassen (1991), Haigh (1996), Sharp (2013), Mörner (2010), Zhao and Feng (2014), Liu et al (2011), and Zhao et al (2011) successfully investigated the changes in surface environment and global climate on the basis of solar activity.…”