Advertisement

Systematics of \(K\) index in the geomagnetic field

  • X. L. Tang
  • H. JiangEmail author
  • J. J. Shen
Original Article
  • 42 Downloads

Abstract

In this paper we study the systematics of \(K\) index in fourteen Chinese stations in the 2009–2017 time interval. We find that the frequency distribution of \(K\) index (\(K=0\mbox{--}9\)) follows a Gaussian function with \(K\) values, while its rank-ordered frequency distribution follows a modified power function of the rank. We investigate empirical correlation between the annual frequency of \(K \geq 4\) (denoted by \(M\)) and that of geomagnetic storm (denoted by \(m\)), and predict (\(M\), \(m\)) values in 2018 and 2019, respectively. We find that \(M\) follows a mixture of several Gaussian functions of year, and predict the 24th solar cycle length to be 11.4 years, which is consistent with the prediction of the auto-regressive processes (AR) model.

Keywords

\(K\) index Statistical laws Geomagnetic storm Solar cycle Auto-regressive processes (AR) model 

Notes

Acknowledgements

We thank the National Natural Science Foundation of China for supporting this work under grant No. 11875188. This work is also supported by Open Project Fund of Shanghai Key Laboratory of Particle Physics and Cosmology (Grant No. 18DZ2271500-2).

References

  1. Abdussamatov, H.I.: Kinemat. Phys. Celest. 31, 54 (2015) Google Scholar
  2. Adekoya, B.J., Chukwuma, V.U.: J. Atmos. Sol.-Terr. Phys. 138, 136 (2016) ADSCrossRefGoogle Scholar
  3. Adekoya, B.J., Chukwuma, V.U., Reinisch, B.W.: J. Geophys. Res. 120, 8066 (2015) CrossRefGoogle Scholar
  4. Baran, L.W., Ephishov, I.I., Shagimuratov, I.I., Ivanov, V.P., Lagovsky, A.F.: Adv. Space Res. 31, 989 (2003) ADSCrossRefGoogle Scholar
  5. Benford, F.: Proc. Am. Philos. Soc. 78, 551 (1938) Google Scholar
  6. Chen, Y.G., Huang, L.S.: Chaos Solitons Fractals 109, 303 (2018) ADSCrossRefGoogle Scholar
  7. Gabaix, X., Gopikrishnan, P., Plerou, V., Stanley, H.E.: Nature 423, 267 (2003) ADSCrossRefGoogle Scholar
  8. Guan, J., Liang, C., Zhao, L., Cui, N.B., Wang, C.Y.: Res. Soil Water Conserv. 25, 122 (2018) Google Scholar
  9. Hill, T.P.: Stat. Sci. 10, 354 (1996) CrossRefGoogle Scholar
  10. Jiang, H., Shen, J.J., Zhao, Y.M.: Chin. Phys. Lett. 28, 032101 (2011) ADSCrossRefGoogle Scholar
  11. Jung, H.K., Heon, Y.G.: J. Atmos. Sol.-Terr. Phys. 172, 107 (2018) ADSCrossRefGoogle Scholar
  12. Kim, J., Chang, H.: Adv. Space Res. 61, 2040 (2018) ADSCrossRefGoogle Scholar
  13. Kurtz A.K., Mayo, S.T.: Statistical Methods in Education and Psychology p. 192 (1979) CrossRefGoogle Scholar
  14. Li, S.H., Shi, S.X.: J. Seismol. Res. 28, 236 (2005) Google Scholar
  15. Malin, S.R.C., Özcan, O., Tank, S.B., Tunçer, M.K., Yazici-Çakin, O.: Geophys. J. Int. 140, 13 (2000) ADSCrossRefGoogle Scholar
  16. Mora, T., Walczak, A.M., Bialek, W., Callan, C.G.: Proc. Natl. Acad. Sci. USA 107, 5405 (2010) ADSCrossRefGoogle Scholar
  17. National Geomagnetic Networks Center. http://www.geomag.org.cn/dataProduct (2019). Accessed 28 January 2019
  18. Panovska, S., Constable, C.G.: Geochem. Geophys. Geosyst. 18, 1366 (2017) ADSCrossRefGoogle Scholar
  19. Paola, D.M., Giuseppe, C.: Ann. Geophys. 46, 661 (2003) Google Scholar
  20. Sambridge, M., Tkalčić, H., Jackson, A.: Geophys. Res. Lett. 37, 1 (2010) CrossRefGoogle Scholar
  21. Space Environment Prediction Center. http://www.sepc.ac.cn/ (2019). Accessed 30 September 2019
  22. Sun, Y.F., Zhu, Y.F.: Seismol. Res. Northeast China 25, 9 (2009) Google Scholar
  23. Wang, C.Q., Du, D., Zhang, X.X., Zhao, M.X., Jiang, Y.: Chin. J. Space Sci. 35, 26 (2015) Google Scholar
  24. Zeng, L.Y., Cao, J.B., Wei, X.H.: Prog. Geophys. 29, 116 (2014) Google Scholar
  25. Zipf, G.K.: An Introduction to Human Ecology, 1st edn. Hafner/Addison-Wesley, New York/Cambridge (1949) Google Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.School of Arts and SciencesShanghai Maritime UniversityShanghaiChina

Personalised recommendations