Abstract

Presented here is a review of present knowledge of the long-term behavior of solar activity on a multi-millennial timescale, as reconstructed using the indirect proxy method. The concept of solar activity is discussed along with an overview of the special indices used to quantify different aspects of variable solar activity, with special emphasis upon sunspot number. Over long timescales, quantitative information about past solar activity can only be obtained using a method based upon indirect proxies, such as the cosmogenic isotopes 14C and 10Be in natural stratified archives (e.g., tree rings or ice cores). We give an historical overview of the development of the proxy-based method for past solar-activity reconstruction over millennia, as well as a description of the modern state. Special attention is paid to the verification and cross-calibration of reconstructions. It is argued that this method of cosmogenic isotopes makes a solid basis for studies of solar variability in the past on a long timescale (centuries to millennia) during the Holocene. A separate section is devoted to reconstructions of strong solar energetic-particle (SEP) events in the past, that suggest that the present-day average SEP flux is broadly consistent with estimates on longer timescales, and that the occurrence of extra-strong events is unlikely. Finally, the main features of the long-term evolution of solar magnetic activity, including the statistics of grand minima and maxima occurrence, are summarized and their possible implications, especially for solar/stellar dynamo theory, are discussed.

Highlights

  • The concept of the perfectness and constancy of the sun, postulated by Aristotle, was a strong belief for centuries and an official doctrine of Christian and Muslim countries

  • It is common to use, for this purpose, signatures of terrestrial indirect effects induced by variable solar-magnetic activity, that is stored in natural archives. Such traceable signatures can be related to nuclear or chemical effects caused by cosmic rays (CRs) in the Earth’s atmosphere, lunar rocks or meteorites

  • Quantitative information of past solar activity can only be obtained using the method based upon indirect proxy, i.e., quantitative parameters, which can be measured nowadays but represent the signatures, stored in natural archives, of the different effects of solar magnetic activity in the past

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Summary

Introduction

The concept of the perfectness and constancy of the sun, postulated by Aristotle, was a strong belief for centuries and an official doctrine of Christian and Muslim countries. The behavior of solar activity in the past, before the era of direct measurements, is of great importance for a variety of reasons It allows an improved knowledge of the statistical behavior of the solar-dynamo process, which generates the cyclically-varying solarmagnetic field, making it possible to estimate the fractions of time the sun spends in states of very-low activity, what are called grand minima. Thanks to the recent development of precise technologies, including accelerator mass spectrometry, solar activity can be reconstructed over multiple millennia from concentrations of cosmogenic isotopes 14C and 10Be in terrestrial archives This allows one to study the temporal evolution of solar magnetic activity, and of the solar dynamo, on much longer timescales than are available from direct measurements.

The concept of solar activity
Indices of solar activity
Direct solar indices
Indirect indices
Solar activity observations in the pre-telescopic epoch
Instrumental observations
Naked-eye observations
Quasi-periodicities
A note on solar activity predictions
Summary
The Proxy Method of Past Solar-Activity Reconstruction
Heliospheric modulation of cosmic rays
Geomagnetic shielding
Cosmic-ray–induced atmospheric cascade
Transport and deposition
Radioisotope 14C
Measurements
Production
The Suess effect and nuclear bomb tests
The effect of the geomagnetic field
Atmospheric transport
Effect of the geomagnetic field
Other potential proxy
Towards a quantitative physical model
Regression models
Reconstruction of heliospheric parameters
A link to sunspot numbers
Solar activity reconstructions
Verification of reconstructions
Comparison with direct data
Meteorites and lunar rocks: A direct probe of the galactic cosmic-ray flux
Comparison between isotopes
Composite reconstruction
Quasi-periodicities and characteristic times
Grand minima of solar activity
The Maunder minimum
Grand minima on a multi-millennial timescale
80 Maunder 160 Sporer
The modern episode of active sun
Grand maxima on a multi-millennial timescale
Related implications
Theoretical constrains
Solar-terrestrial relations
Other issues
Solar Energetic Particles in the Past
Cosmogenic isotopes
Lunar and meteoritic rocks
Nitrates in polar ice
Findings
Conclusions

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