Journal of Atmospheric and Solar–Terrestrial Physics 270 (2025) 106477
Available online 24 March 2025
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Journal of Atmospheric and Solar–Terrestrial Physics
journal homepage: www.elsevier.com/locate/jastp
Research paper
Simultaneous evaluation of solar activity proxies during geomagnetic storms
using principal component analysis: Case study of the African low and
mid-latitude regions
Jean Claude Uwamahoro
a,h ,∗
, John Bosco Habarulema
b,c,d
, Dalia Buresova
a
,
Nigussie Mezgebe Giday
e
, Valence Habyarimana
f
, Kateryna Aksonova
a,g
,
Joseph Ntahompagaze
h
, Theogene Ndacyayisenga
h
, Ange Cynthia Umuhire
h
a
Institute of Atmospheric Physics of the Czech Academy of Sciences, Bocni II 1401, 14100 Prague 4, Czech Republic
b
South African National Space Agency (SANSA), Space Science, 7200, Hermanus, South Africa
c
Department of Physics and Electronics, Rhodes University, 6140, Makhanda, South Africa
d
Centre for Space Research, Physics Department, North-West University, 2520, Potchefstroom, South Africa
e
Space Science and Geospatial Institute, Space and Planetary Science Department, Addis Ababa, Ethiopia
f
Department of Physics, Mbarara University of Science and Technology, Mbarara, Uganda
g
Institute of ionosphere, National Technical University ‘‘Kharkiv Polytechnic Institute’’, 16 Kyrpychova Str., Kharkiv 61002, Ukraine
h
Department of Physics, University of Rwanda, College of Science and Technology, P.O. Box 3900, Kigali, Rwanda
A R T I C L E I N F O
Keywords:
Solar activity indices
Geomagnetic storms
Total electron content
Principal component analysis
A B S T R A C T
We simultaneously evaluate the contributions of the mostly used solar activity indices to the modelling of
geomagnetic storms using principal component analysis (PCA). The selected indices are the sunspot number
(SSN), solar radio flux at a wavelength of 10.7 cm ( 10.7), 12-month running average of SSN (12), 81-day
running average of 10.7 ( 10.7
81
), and the modified 10.7 index herein referred to as 10.7. The assessment
of these indices was accomplished by first developing five storm-time empirical models of the ionosphere
with ionospheric total electron content (TEC) as dependent variable, and each of the five solar proxies as the
independent variable. As the energy from the Sun differs from one latitudinal region to another on Earth, two
locations at different latitudes were considered for the analysis. Based on their long data coverage periods,
Hartebeesthoek (HRAO, geographic coordinates: 25.89
◦
S, 27.69
◦
E; geomagnetic coordinates: 36.32
◦
S, 94.69
◦
E), South Africa; and Mbarara (MBAR, geographic coordinates: 0.60
◦
S and 30.74
◦
E, geomagnetic coordinates:
10.22
◦
S and 102.36
◦
E), Uganda, were chosen to represent the middle and low latitude ionospheric regions,
respectively. Their data coverage periods are 27 September 1996 to 30 March 2024 (HRAO) and 17 July
2001 to 30 March 2024 (MBAR) and only storm-time TEC data within these periods selected based on the
criterion ⩽ −50 nT or
⩾ 4 were considered for the statistical analysis. Through PCA decomposition,
TEC data were broken up into a matrix of principal directions of the maximum variances in the dataset (or
matrix of eigenvectors of the covariance matrix) and a matrix of principal components (PCs) which represent
the projection of data onto the principal directions. For each model, PCs were thereafter modelled in terms
of the corresponding solar activity index and the modelled quantities were further combined with the original
PC vectors to get the reconstructed TEC for the entire period of the study. With reference to the ionospheric
storm-time model implemented using SSN as solar activity representation, a statistical analysis revealed that,
overall, the storm-time empirical models developed using either 10.7, 10.7
81
, 12, or 10.7, perform about
8%, 15%, 18%, 22%, respectively, better in reconstructing actual TEC than the SSN based model for HRAO,
and 11%, 23%, 19%, 24% for MBAR. Validating the models over selected four storms, results showed that
running average based indices led to more accurate TEC predictions compared to the usual daily Wolf’s SSN
and 10.7.
∗
Corresponding author.
E-mail addresses: uwajclaude@gmail.com, uwajcl@gmail.com (J.C. Uwamahoro), jhabarulema@sansa.org.za (J.B. Habarulema), buresd@ufa.cas.cz
(D. Buresova), nmezgebe1@gmail.com (N.M. Giday), valencehabyarimana@gmail.com (V. Habyarimana), aksonova@ufa.cas.cz (K. Aksonova),
ntahompagazej@gmail.com (J. Ntahompagaze), ndacyatheogene@gmail.com (T. Ndacyayisenga), angelaciany@gmail.com (A.C. Umuhire).
https://doi.org/10.1016/j.jastp.2025.106477
Received 19 November 2024; Received in revised form 15 January 2025; Accepted 18 February 2025