Two 9400-year long 10Be data records from the Arctic and Antarctic and a 14C record of equal length were used to investigate the periodicities in the cosmic radiation incident on Earth throughout the past 9400 years. Fifteen significant periodicities between 40 and 2320 years are observed in the 10Be and 14C records, there being close agreement between the periodicities in each record. We found that the periodic variations in the galactic cosmic radiation are the primary cause for periods < 250 years, with minor contributions of terrestrial origin possible > 250 years. The spectral line for the Gleissberg (87-year) periodicity is narrow, indicating a stability of ≈ 0.5 %. The 9400-year record contains 26 Grand Minima (GM) similar to the Maunder Minimum, most of which occurred as sequences of 2 – 7 GM with intervals of 800 – 1200 years in between, in which there were no GM. The intervals between the GM sequences are characterised by high values of the modulation function. Periodicities < 150 years are observed in both the GM intervals and the intervals in between. The longer-period variations such as the de Vries (208-year) cycle have high amplitudes during the GM sequences and are undetectable in between. There are three harmonically related pairs of periodicities (65 and 130 years), (75 and 150 years), and (104 and 208 years). The long periodicities at 350, 510, and 708 years closely approximate 4, 6, and 8 times the Gleissberg period (87 years). The well-established properties of cosmic-ray modulation theory and the known dependence of the heliospheric magnetic field on the solar magnetic fields lead us to speculate that the periodicities evident in the paleo-cosmic-ray record are also present in the solar magnetic fields and in the solar dynamo. The stable, narrow natures of the Gleissberg and other periodicities suggest that there is a strong “frequency control” in the solar dynamo, in strong contrast to the variable nature (8 – 15 years) of the Schwabe (11-year) solar cycle.
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Abreu, J.A., Beer, J., Steinhilber, F., Christl, M., Kubik, P.W.: 2012a, 10Be in ice cores and 14C in tree rings: separation of production and climate effects. Space Sci. Rev. 1 – 7. doi: 10.1007/s11214-011-9864-y .
Abreu, J.A., Beer, J., Ferriz-Mas, A., McCracken, K.G., Steinhilber, F.: 2012b, Planetary influence on solar activity evidenced by cosmogenic nuclides. Astron. Astrophys. 548, A88. doi: 10.105I/0004-6361/201219997 .
Beer, J., McCracken, K.G., Abreu, J., Heikkila, U., Steinhilber, F.: 2011, Cosmogenic radionuclides as an extension of the neutron-monitor era into the past: potential and limitations. Space Sci. Rev. doi: 10.1007/s11214-011-9843-3 .
Beer, J., McCracken, K., von Steiger, R.: 2012, Cosmogenic Radionuclides: Theory and Applications in the Terrestrial and Space Environments, Springer, Berlin. ISBN 978-3-642-14650-3.
Caballero-Lopez, R.A., Moraal, H.: 2004, Limitations of the force field equation to describe cosmic-ray modulation. J. Geophys. Res. 109, A01101. doi: 10.1029/2003JA010098 .
Charbonneau, P.: 2010, Dynamo models of the solar cycle. Living Rev. Solar Phys. 7(3). http://www.livingreviews.org/lrsp-2010-3 .
Dicke, D.H.: 1978, Is there a chronometer hidden deep in the Sun? Nature 276, 676 – 680.
Forbush, S.E.: 1938, On world-wide changes in cosmic-ray intensity. Phys. Rev. 54(12), 975 – 988.
Forbush, S.E.: 1954, World-wide cosmic-ray variations, 1937 – 1952. J. Geophys. Res. 59, 525 – 542.
Gleeson, L.J., Axford, W.I.: 1968, Solar modulation of galactic cosmic-rays. Astrophys. J. 154, 1011 – 1026.
Gleissberg, W.: 1958, The eighty-year sunspot cycle. J. Br. Astron. Assoc. 68, 148 – 152.
Gleissberg, W.: 1965, The eighty-year solar cycle in auroral frequency numbers. J. Br. Astron. Assoc. 75, 227 – 231.
Heikkila, U., Beer, J., Feichter, J.: 2008, Modeling cosmogenic radionuclides 10Be and 7Be during the Maunder minimum using the ECHAM5-HAM general circulation. Model. Atmos. Chem. Phys. 8, 2797 – 2809.
Jokipii, J.R.: 1991, Variations of the cosmic-ray flux with time. In: Sonett, C.P., Giampapa, H.S., Mathews, M.S. (eds.) The Sun in Time, Univ. Ariz. Press, Tucson, 205 – 220.
Jose, P.D.: 1965, Sun’s motion and sunspots. Astron. J. 70, 193 – 200.
Knudsen, M.F, Riisager, P., Donadini, D., Snowball, I., Muscheler, R., Korhonen, B., Pesonen, L.J.: 2008, Variations in the geomagnetic dipole moment during the Holocene and the past 50 kyr. Earth Planet. Sci. Lett. 272, 319 – 329. doi: 10.1016/j.epsl.2008.04.048 .
Knudsen, M.F., Riisager, P., Holm Jacobsen, B., Muscheler, R., Snowball, I., Seidenkrantz, M.S.: 2009, Taking the pulse of the Sun during the Holocene by joint analysis of 14C and 10Be. Geophys. Res. Lett. 36, L16701. doi: 10.1029/2009GL039439 .
Lal, D.: 1987, 10Be in polar ice: data reflect changes in cosmic-ray flux or polar meteorology. Geophys. Res. Lett. 14, 785 – 788.
Lockwood, M., Stamper, R., Wild, M.N.: 1999, A doubling of the Sun’s coronal magnetic field during the past 100 years. Nature 399, 437 – 439.
Masarik, J., Beer, J.: 1999, Simulation of particle fluxes and cosmogenic nuclide production in the Earth’s atmosphere. J. Geophys. Res. 104, 12099 – 12111.
Masarik, J., Beer, J.: 2009, An updated simulation of particle fluxes and cosmogenic production in the Earth’s atmosphere. J. Geophys. Res. 114, D11103.
McCracken, K.G.: 2004, Geomagnetic and atmospheric effects upon the cosmogenic 10Be observed in polar ice. J. Geophys. Res. 109, A04101. doi: 10.1029/2003JA010060 .
McCracken, K.G., Beer, J.: 2007, Long term changes in the cosmic-ray intensity at Earth, 1428 – 2005. J. Geophys. Res. 112, A10101. doi: 10.1029/2006JA012117 .
McCracken, K., Beer, J., Steinhilber, F.: 2013, Evidence for planetary forcing of the cosmic ray intensity, and solar activity throughout the past 9400 years. Solar Phys. submitted
McCracken, K.G., McDonald, F.B., Beer, J., Raisbeck, G., Yiou, F.: 2004, A phenomenological study of the long-term cosmic-ray modulation, 850 – 1950 AD. J. Geophys. Res. 109, A12103. doi: 10.1029/2004JA010685 .
McCracken, K., Beer, J., Steinhilber, F., Abreu, J.: 2011, The heliosphere in time. Space Sci. Rev. doi: 10:1007/s11214-011-9843-3 .
Muscheler, R., Beer, J., Wagner, G., Laj, C., Kissel, C., Raisbeck, G.M., Yiou, F., Kubik, P.W.: 2004, Changes in the carbon cycle during the last deglaciation as indicated by the comparison of 10Be and 14C records. Earth Planet. Sci. Lett. 219, 325 – 340.
Parker, E.N.: 1958, Dynamics of the interplanetary gas and magnetic fields. Astrophys. J. 128(3), 664 – 676.
Parker, E.N.: 1965, The passage of energetic particles through interplanetary space. Planet. Space Sci. 13, 9 – 13.
Peristykh, A.N., Damon, P.E.: 2003, Persistence of the Gleissberg 88-year solar cycle over the past ∼ 12 000 years: evidence from cosmogenic isotopes. J. Geophys. Res. 108(A1), SSH 1-1. doi: 10.1029/2002JA009390 .
Reimer, P.J., Baillie, M.G.L., Bard, E., Bayliss, A., Beck, J.W., Blackwell, P.G., Ramsey, C.B., Buck, C.E., Burr, G.S., Edwards, R.L., Friedrich, M., Grootes, P.M., Guilderson, T.P., Hajdas, I., Heaton, T.J., Hogg, A.G., Hughen, K.A., Kaiser, K.F., Kromer, B., McCormac, F.G., Manning, S.W., Reimer, R.W., Richards, D.A., Southon, J.R., Talamo, S., Turney, C.S.M., van der Plicht, J., Weyhenmeye, C.E.: 2009, Intcal09 and Marine09 radiocarbon age calibration curves, 0 – 50 000 years Cal Bp. Radiocarbon 51, 1111 – 1150.
Snowball, I., Muscheler, R.: 2007, Paleomagnetic intensity data: an Achilles heel of solar activity reconstructions. Holocene 17, 851 – 859. doi: 10.1177/0959683607080531 .
Sonett, C.P.: 1984, Very long solar periods and the radiocarbon record. Rev. Geophys. 22, 239 – 254.
Steinhilber, F., Abreu, J.A., Beer, J.: 2008. Solar modulation during the Holocene. Astrophys. Space Sci. Trans.. 4, 1 – 6.
Steinhilber, F., Abreu, J.A., Beer, J., McCracken, K.G.: 2010, The interplanetary magnetic field during the past 9300 years inferred from cosmogenic radionuclides. J. Geophys. Res. 115, A01104. doi: 10.1029/2009JA014193 .
Steinhilber, F., Abreu, J.A., Beer, J., Brunner, I., Christl, M., Fischer, H., Heikkilä, U., Kubik, P.W., Mann, M., McCracken, K.G., Miller, H., Miyahara, H., Oerter, H., Wilhelms, H.: 2012, 9400 years of cosmic radiation and solar activity from ice cores and tree rings. Proc. Natl. Acad. Sci. USA 109. doi: 10.1073/pnas1118965109 .
Svalgaard, L., Cliver, E.W.: 2010, Heliospheric magnetic field, 1835 – 2009. J. Geophys. Res. 115, A09111. doi: 10.1029/2009JA015069 .
Usoskin, I.G., Mursala, K., Kovaltsov, G.A.: 2001, Heliospheric modulation of cosmic-rays and solar activity during the Maunder Minimum. J. Geophys. Res. 106, 16039 – 16046.
Usoskin, I.G., Solanki, S.K., Taricco, C., Bhandari, N., Kovaltsov, G.A.: 2006, Long-term solar activity reconstructions: direct test by cosmogenic 44Ti in meteorites. Astron. Astrophys. 457, L25 – L28.
Webber, W.R., Higbie, P.R.: 2010, A comparison of new calculations of 10Be production in the Earth’s polar atmosphere by cosmic-rays with 10Be concentration measurements in polar ice cores between 1939 and 2005 – A troubling lack of concordance, paper 1. arXiv:1003.4989 .
Webber, W.R., Higbie, P.R., Webber, C.W.: 2010, A comparison of new calculations of the yearly 10Be production in the Earth’s polar atmosphere by cosmic rays with yearly 10Be measurements in multiple Greenland ice cores between 1939 and 1994 – A troubling lack of concordance, paper 2. arXiv:1004.2675 .
The research at the University of Maryland was supported by NSF grant 1050002. The Swiss component of this research was supported by NCCR Climate – Swiss climate research and by the Swiss National Science Foundation under grant CRSI122-130642 (FUPSOL). Support of KGMcC by the International Space Science Institute (ISSI) is gratefully acknowledged.
Appendix: Terrestrial Contributions to the Variability of Δ14C
Appendix: Terrestrial Contributions to the Variability of Δ14C
Global-scale climate change affects the interchange and storage of 14C in the atmosphere and the oceans, and hence the concentration in tree rings, which leads to long-term changes as a consequence of climate change (Beer et al. 2011). Mathematical models of the carbon cycle show that this effect is weak (see Section 13.5 of Beer, McCracken, and von Steiger, 2012). As an example, we considered changes in the two most important contributors: the gas-exchange rate between the atmosphere and the upper-most portion of the oceans [k am], and the eddy diffusion constant [K] that quantifies the mixing of the water below the surface layer (Chapter 13.5.3, Beer, McCracken, and von Steiger, 2012). Variations in k am are mainly controlled by the long-term climate-driven changes in the surface winds and by the extent of sea ice. During the past 60 years, the annual mean area of sea ice has varied by ≈ 0.8 % peak-to-peak (compared to the total area of the Earth’s oceans), implying a similar variation in k am. To allow for winds and other factors we quadrupled this to an ≈ 3.2 % peak-to-peak change in k am as a consequence of climate change in correlation with the Gleissberg cycle. Muscheler et al. (2004) used a 30 % change in K to model the carbon-cycle effects during the Younger Dryas transition from the glacial to inter-glacial epochs, and we used a tenth of that for the much smaller changes expected during the Holocene. Using these estimates in a box diffusion carbon-cycle model yields an amplitude of 4.5(1−e−T/(2⋅460)) ‰ for the variation in Δ14C, where T is the period of the climate change in question. For the Gleissberg periodicity, this yields an amplitude of 0.4 ‰. The observed Gleissberg variation in Δ14C is approximately 7 ‰. That is, rather extreme assumptions regarding the variability in the carbon-cycle can only account for ≈ 5.7 % of the observed amplitude of the Gleissberg cycle in Δ14C. The exponential term in the above equation quantifies the rapidity with which the changes in k am and K attain equilibrium, and this clearly means that the longer-period climatic changes will have a greater effect than we derived in the above example.
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McCracken, K.G., Beer, J., Steinhilber, F. et al. A Phenomenological Study of the Cosmic Ray Variations over the Past 9400 Years, and Their Implications Regarding Solar Activity and the Solar Dynamo. Sol Phys 286, 609–627 (2013). https://doi.org/10.1007/s11207-013-0265-0
- Cosmic-ray modulation
- Cosmogenic 10Be and 14C
- Solar periodicities
- Grand Minima
- Solar dynamo