Articles | Volume 21, issue 4
Nonlin. Processes Geophys., 21, 797–813, 2014
Nonlin. Processes Geophys., 21, 797–813, 2014

Research article 01 Aug 2014

Research article | 01 Aug 2014

Can irregularities of solar proxies help understand quasi-biennial solar variations?

A. Shapoval1,3,4, J. L. Le Mouël2, M. Shnirman1,2, and V. Courtillot2 A. Shapoval et al.
  • 1IEPT RAS, Profsoyuznaya str. 84/32, 117 997 Moscow, Russia
  • 2IPGP, 1 rue Jussieu, 75005 Paris, France
  • 3Financial University, Leningradsky pr. 49, 125 167 Moscow, Russia
  • 4National Research University Higher School of Economics, 20 Myasnitskaya Ulitsa, 101 000 Moscow, Russia

Abstract. We define, calculate and analyze irregularity indices λISSN of daily series of the International Sunspot Number ISSN as a function of increasing smoothing from N = 162 to 648 days. The irregularity indices λ are computed within 4-year sliding windows, with embedding dimensions m = 1 and 2. λISSN displays Schwabe cycles with ~5.5-year variations ("half Schwabe variations" HSV). The mean of λISSN undergoes a downward step and the amplitude of its variations strongly decreases around 1930. We observe changes in the ratio R of the mean amplitude of λ peaks at solar cycle minima with respect to peaks at solar maxima as a function of date, embedding dimension and, importantly, smoothing parameter N. We identify two distinct regimes, called Q1 and Q2, defined mainly by the evolution of R as a function of N: Q1, with increasing HSV behavior and R value as N is increased, occurs before 1915–1930; and Q2, with decreasing HSV behavior and R value as N is increased, occurs after ~1975. We attempt to account for these observations with an autoregressive (order 1) model with Poissonian noise and a mean modulated by two sine waves of periods T1 and T2 (T1 = 11 years, and intermediate T2 is tuned to mimic quasi-biennial oscillations QBO). The model can generate both Q1 and Q2 regimes. When m = 1, HSV appears in the absence of T2 variations. When m = 2, Q1 occurs when T2 variations are present, whereas Q2 occurs when T2 variations are suppressed. We propose that the HSV behavior of the irregularity index of ISSN may be linked to the presence of strong QBO before 1915–1930, a transition and their disappearance around 1975, corresponding to a change in regime of solar activity.