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Predictability of the solar cycle over one cycle (1807.01543v1)

Published 4 Jul 2018 in astro-ph.SR

Abstract: The prediction of the strength of future solar cycles is of interest because of its practical significance for space weather and as a test of our theoretical understanding of the solar cycle. The Babcock-Leighton mechanism allows predictions by assimilating the observed magnetic field on the surface. But the emergence of sunspot groups has the random properties, which make it impossible to accurately predict the solar cycle and also strongly limit the scope of cycle predictions. Hence we develop the scheme to investigate the predictability of the solar cycle over one cycle. When a cycle has been ongoing for more than 3 years, the sunspot group emergence can be predicted along with its uncertainty during the rest time of the cycle. The method for doing this is to start by generating a set of random realizations which obey the statistical relations of the sunspot emergence. We then use a surface flux transport model to calculate the possible axial dipole moment evolutions. The correlation between the axial dipole moment at cycle minimum and the subsequent cycle strength and other empirical properties of solar cycles are used to predict the possible profiles of the subsequent cycle. We apply this scheme to predict the large-scale field evolution from 2018 to the end of cycle 25, whose maximum strength is expected to lie in the range from 93 to 155 with a probability of 95\%.

Citations (70)

Summary

Predictability of the Solar Cycle Over One Cycle

The paper conducted by Jiang et al. focuses on developing a robust framework for predicting the solar cycle's variability and strength over one cycle, utilizing both empirical observations and theoretical insights derived from solar dynamo mechanisms. This investigation is pivotal, given its implications for understanding space weather phenomena and predicting solar activities that influence technological systems on Earth.

The solar cycle is characterized by an approximate 11-year period featuring varying amplitudes, which correspond to the frequency of various solar phenomena, including geomagnetic storms. Predicting these cycles is essential both for practical implementations in technological spheres and for testing the reliability of theoretical solar models.

Methodology

The approach hinges on the Babcock-Leighton (BL) dynamo mechanism, a dominant theoretical model to describe solar cycles. This model posits that magnetic fields on the solar surface directly influence the sunspot cycle's evolution. The inherent randomness in sunspot emergence presents significant hurdles to precise predictions. Nonetheless, the authors propose a scheme initiating predictions three years into a cycle to mitigate this.

Key components of the methodology include:

  • Empirical Cycle Analysis: Utilizing historical data on sunspot numbers and solar cycles, empirical functions capture the cycle's shape, accommodating variations in cycle amplitude and phase. This enables medium to long-term forecasts by fitting cycle profiles to known data trends.
  • Monte Carlo Simulations: Introducing randomness, the authors employ Monte Carlo methods to simulate sunspot group emergences by generating random realizations, constrained by statistical relations based on historical data.
  • Surface Flux Transport Model (SFTM): By leveraging this model, the paper simulates the evolution of the solar magnetic field over the solar surface, providing a dynamic view of potential axial dipole moment progressions.

Findings

The authors successfully applied their methodology, predicting the large-scale field evolution from 2018 to the supposed end of cycle 25. Their predictions suggest that cycle 25 will exhibit a peak within the range of 93 to 155, with 95% probability, marking a potential increase from previous cycles. This prediction, poised between empirical fits and model-based forecasts, underscores the intricacies of solar cycle variability and the BL dynamo model's role.

Implications and Future Work

From a theoretical perspective, the advancement in predicting the solar cycle strengthens the validation of BL dynamo models, highlighting how surface observations can dictate broader solar dynamo dynamics. Practically, such predictions aid in mitigating the impacts of space weather on technological infrastructures, as reliable solar forecasts enable better preparation and adaptation strategies.

Future developments may focus on refining the predictive accuracy further by embracing more dynamic models that incorporate chaotic components potentially affecting the solar cycle. Improving initial condition measurements or exploring the overlap between cycles could also enhance prediction reliability. Furthermore, increasing the predictive horizon beyond one cycle would be advantageous for a more comprehensive understanding and preparation for solar phenomena.

Jiang et al.'s work represents a significant step towards understanding and predicting solar dynamics, with implications extending into both scientific inquiry and technological applicability. The continued pursuit of reducing uncertainties in solar cycle predictions remains a necessary endeavor for advancing solar physics and its practical applications.

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