A STUDY OF LONG-TERM SUNSPOTS AND K-INDEX GEOMETRIC CYCLES USING PROBABILISTIC MODELING

Main Article Content

Danish Hassan Hamza Khan Muhammad Fahim Akhter Muhammad Danish Khan Shaheen Abbas

Abstract

The research work done in this paper comprises the application of different well-known probability distribution models. This includes the understanding of the behavior and dynamics of 24 sunspot cycles with total data. The time-series data sets were selected from 1749 to 2014. To observe the solar activity effects on K-index activity the double cycles from 1932 to 2014 were also incorporated in the study. The comparative study is useful to observe the long-term solar-terrestrial connection. The magnetic field of the sun reverses its polarity after every 11 years of the cycle. So after every 22 years, the north pole becomes again north pole. By using the two well-known tests Kolmogorov-Smirnov (KST) and Anderson-Darling test (ADT) the probability distribution models were obtained for each sunspot cycles and compare. The significant probability models for all the sunspot cycles have been obtained. The fitted probability distribution models on selected data sets may be useful to understand the trend of solar and geomagnetic activity.

Article Details

How to Cite
HASSAN, Danish et al. A STUDY OF LONG-TERM SUNSPOTS AND K-INDEX GEOMETRIC CYCLES USING PROBABILISTIC MODELING. Journal of Mountain Area Research, [S.l.], v. 7, p. 44-55, may 2022. ISSN 2518-850X. Available at: <https://journal.kiu.edu.pk/index.php/JMAR/article/view/141>. Date accessed: 26 apr. 2024. doi: https://doi.org/10.53874/jmar.v7i0.141.
Section
Mathematical Sciences

References

[1] Badalyan, O. & Bludova, N. Relation of the green coronal line intensity to sunspot areas and magnetic fields of different scales. Solar System Research, 48(4), 305-315.
[2] Hassan, D. Quantitative analysis of dynamics of solar activity cycles in the perspective of data distribution and tail analysis. Ph.D. thesis, Federal Urdu University of Arts Sciences & Tech. Islamabad, (2017).
[3] Hassan, D., Abbas, S., Ansari, M. & Akhter, M.F. Study of sunspots cycles using sinusoidal modeling. All papers published in the p. 31, (2017).
[4] Hassan, D., Abbas, S., Ansari, M., & Jan, B. Solar flares data analysis on application of probability distributions and fractal dimensions and a comparative analysis of north south hemispheric solar flares data behavior. Proceedings of the Pakistan Academy of Sciences 51(2014) 345-353.
[5] Hassan, D., Abbas, S., Ansari, M., & Jan, B. The study of sunspots and k-index data in the perspective of probability distributions. International Journal of Physical and Social Sciences 4 (2014) 23-41.
[6] Hussain, M.A. Mathematical aspects of the impact of urban greenhouse gas emissions on global warming. Ph.D. thesis, Federal Urdu University of Arts, Science and Technology, Karachi campus, (2006).
[7] Jilani, S.A., & Zai, M. Variability of solar are duration and its effects on ozone concentration at Pakistan air space. Proceedings of the Pakistan Academy of Sciences 48 (2013) 51-55.
[8] Kilcik, A., Anderson, C., Rozelot, J., Ye, H., Sugihara, G., & Ozguc, A. Nonlinear prediction of solar cycle 24. The Astrophysical Journal 693 (2009) 1173.
[9] Maio, C., Schexnayder, C.: Relationships between input data and goodness-of-t tests
[10] Mariska, J.T., & Oster, L. Solar activity and the variations of the geomagnetic k p-index. Solar Physics 26 (1972) 241-249.
[11] Rathore, B.S., Kaushik, S.C., Firoz, K., Gupta, D., Shrivastava, A., Parashar, K.K., & Bhaduriya, R.M. A correlative study of geomagnetic storms associated with solar wind and imf features during solar cycle 23. International Journal of applied physics and mathematics 1 (2011) 149.
[12] Roshchina, E., & Sarychev, A. Appearance and quantitative characteristics of 11-year solar cycles. Solar System Research 48 (2014) 460-465.
[13] Rykiel Jr, E.J. Testing ecological models, the meaning of validation. Ecological modelling 90 (1996) 229-244.
[14] Thomas, J.H., & Weiss, N.O. Sunspots and star spots, vol. 46. Cambridge University Press Cambridge. (2008) ISBN 978-0-521-86003-1 (HB).
[15] Weiss, N. Sunspot structure and dynamics. In: Solar dynamics and its effects on the heliosphere and Earth, Springer, (2006) 13-22.

Most read articles by the same author(s)