Geomagnetism and Aeronomy

, Volume 58, Issue 8, pp 1097–1102 | Cite as

Reconstruction of the Wolf Numbers Based on Radiocarbon Data from the Early 11th Century until the Middle of the 19th Century with Respect to Climate Changes

  • A. I. KuleshovaEmail author
  • V. A. Dergachev
  • I. V. KudryavtsevEmail author
  • Yu. A. Nagovitsyn
  • M. G. Ogurtsov


The results of the reconstruction of Wolf numbers from the 11th century until the middle of the 19th century A.D. based on radiocarbon data are presented. This time span includes the Oort, Wolf, Spörer, Maunder, and Dalton minima of solar activity, as well as the Medieval Solar Maximum (the 12th century and the first half of the 13th century A.D.) and the Late Medieval Maximum (the second half of the 14th century). It is known that the climate changed appreciably over the studied period: there were changes in the global temperature and in the concentration of carbon dioxide in the Earth’s atmosphere; more precisely, there was the Little Ice Age. This work differs from previous reconstructions of other authors in taking into account the influence of climate changes on the radiocarbon content in examined samples at that time span. During the reconstruction, changes in carbon dioxide content and changes in the regimen of carbon dioxide exchange between the ocean and the atmosphere are considered. It is especially important to consider changes in these parameters for the Little Ice Age, which was accompanied by significant changes in global temperature and the carbon dioxide content in the Earth’s atmosphere.



This work from A.I. Kuleshova and Yu.A. Nagovitsyn was supported in part by the Russian Foundation for Basic Research, grant no. 16-02-00090, and Program of Presidium of RAS no. 28.


  1. 1.
    Clette, F., Svalgaard, L., Vaquero, J.M., and Cliver, E.W., Revisiting the sunspot number: A 400-year perspective on the solar cycle, Space Sci. Rev., 2014, vol. 186, nos. 1–4, pp. 35–103.CrossRefGoogle Scholar
  2. 2.
    Crowley, T.J. and Lowery, T.S., How warm was medieval warm period?, Ambio, 2000, vol. 29, pp. 51–54.CrossRefGoogle Scholar
  3. 3.
    Dergachev, V.A. and Ostryakov, V.M., On the influence of temperature variations on the radiocarbon level in the Earth’s atmosphere, in Trudy 6-go Vsesoyuznogo soveshchaniya po probleme “Astrofizicheskie yavleniya i radiouglerod”, Tbilisi, 13–15 Oktyabrya 1976 g. (Proceedings of the 6th Meeting on the Problem “Astrophysical Phenomena and Radiocarbon”, Tbilisi, October 13–15, 1976), Tbilisi, 1978, pp. 177–182.Google Scholar
  4. 4.
    Dergachev, V.A. and Veksler, V.S., Primenenie radiouglerodnogo metoda dlya izucheniya prirodnoi sredy proshlogo (Application of the Radiocarbon Method for Studies of the Environment in the Past), Leningrad: FTI AN SSSR, 1991. Google Scholar
  5. 5.
    Etheridge, D.M., Steele, L.P., Langenfelds, R.L., Francey, R.J., Barnola, J.-M.I., and Morgan, V.I., Historical CO2 record derived from a spline fit (75 year cutoff) of the Law Dome DSS, DE08, and DE08-2 ice cores. http://cdiac. Scholar
  6. 6.
    Kocharov, G.E., Vasilev, V.A., Dergachev, V.A., and Ostryakov, V.M., An 8000-year sequence of galactic cosmic-ray fluctuations, Sov. Astron. Lett., 1983, vol. 9, no. 4, pp. 110–112.Google Scholar
  7. 7.
    Koudryavtsev, I.V., Dergachev, V.A., Nagovitsyn, Yu.A., Ogurtsov, M.G., and Junger, H., On the influence of climatic factors on the ratio between the cosmogenic isotope 14C and total carbon in the atmosphere in the past, Geohronometria, 2014, vol. 41, no. 3, pp. 216– 222.CrossRefGoogle Scholar
  8. 8.
    Kudryavtsev, I.V., Dergachev, V.A., Kuleshova, A.I., Nagovitsyn, Yu.A., and Ogurtsov, M.G., Reconstructions of the heliospheric modulation potential and Wolf numbers based on the content of the 14C isotope in tree rings during the Maunder and Sporer minimums, Geomagn. Aeron. (Engl. Transl.), 2016, vol. 56, no. 8, pp. 998–1005.Google Scholar
  9. 9.
    Kovaltsov, G.A., Mishev, A., and Usoskin, I.G., A new model of cosmogenic production of radiocarbon 14C in the atmosphere, Earth Planet. Sci. Lett., 2012, vol. 337–338, pp. 114–120.CrossRefGoogle Scholar
  10. 10.
    Kuleshova, A.I., Dergachev, V.A., Kudryavtsev, I.V., Nagovitsyn, Yu.A., and Ogurtsov, M.G., Possible influence of climate factors on the reconstruction of the cosmogenic isotope 14C production rate in the Earth’s atmosphere and solar activity in past epochs, Geomagn. Aeron. (Engl. Transl.), 2015, vol. 55, no. 8, pp. 1071–1075.Google Scholar
  11. 11.
    Licht, A., Hulot, G., Gallet, Y., and Thebault, E., Ensembles of low degree archeomagnetic field models for the past three millennia, Phys. Earth Planet. Int., 2013, vol. 224, pp. 38–67.CrossRefGoogle Scholar
  12. 12.
    Mann, M.E., Bradley, R.S., and Hughes, M.K., Northern hemisphere temperatures during the past millennium: Inferences, uncertainties and limitations, Geophys. Res. Lett., 1999, vol. 26, pp. 759–762.CrossRefGoogle Scholar
  13. 13.
    Moberg, A., Sonechkin, D.M., Holmgren, K., Datsenko, N.M., and Karlen, W., Highly variable Northern Hemisphere temperatures reconstructed from low- and high-resolution proxy data, Nature, 2005, vol. 433, pp. 613–617.CrossRefGoogle Scholar
  14. 14.
    Poluianov, S.V., Kovaltsov, G.A., Mishev, A.L., and Usoskin, I.G., Production of cosmogenic isotopes 7Be, 10Be, 14C, 22Na, and 36Cl in the atmosphere: Altitudinal profiles of yield functions, J. Geophys. Res.: Atmos., 2016, vol. 121, pp. 8125–8136.Google Scholar
  15. 15.
    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., et al., IntCal09 and Marine09 radiocarbon age calibration curves, 0–50 000 years cal BP, Radiocarbon, 2009, vol. 51, pp. 1111–1150.CrossRefGoogle Scholar
  16. 16.
    Usoskin, I.G., Mursula, M., Solanki, S.K., Manfred, S., and Kovaltsov, G.A., A physical reconstruction of cosmic ray intensity since 1610, J. Geophys. Res., 2002, vol. 107, no. A11, pp. SSH 13-1–SSH 13-6.Google Scholar
  17. 17.
    Usoskin, I.G., Hulot, G., Gallet, Y., Roth, R., Licht, A., Joos, F., Kovaltsov, G.A., Thebault, E., and Khokhlov, A., Evidence for distinct modes of solar activity, Astron. Astrophys., 2014, vol. 562, id L10.Google Scholar
  18. 18.
    Zolotova, N.V. and Ponyavin, D.I., The Maunder minimum is not as grand as it seemed to be, Astrophys. J., 2015, vol. 800, no. 1, id 42.Google Scholar

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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Central Astronomical Observatory at Pulkovo, Russian Academy of SciencesSt. PetersburgRussia
  2. 2.Ioffe Institute, Russian Academy of SciencesSt. PetersburgRussia
  3. 3.State University of Aerospace InstrumentationSt. PetersburgRussia

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