Open Access

Using the IRI, the MAGIC model, and the co-located ground-based GPS receivers to study ionospheric solar eclipse and storm signatures on July 22, 2009

  • Chi-Yen Lin1, 2,
  • Jann-Yenq Liu1, 3, 4Email author,
  • Chien-Hung Lin5,
  • Yang-Yi Sun1, 2,
  • Eduardo A. Araujo-Pradere2 and
  • Yoshihiro Kakinami1
Earth, Planets and Space201264:640060513

Received: 17 June 2010

Accepted: 11 August 2011

Published: 27 July 2012


The longest total solar eclipse in the 21st century occurred in Southeast Asia on 22 July 2009 from 00:55 to 04:15 UT, and was accompanied by a moderate magnetic storm starting at 03:00 UT with a Dst reduction of −78 nT at 07:00 UT. In this study, we use the ionospheric reference model IRI, the data assimilation model MAGIC, and ground-based GPS receivers to simulate and examine the ionospheric solar eclipse and geomagnetic storm signatures in Taiwan and Japan. Cross-comparisons between the two model results and observations show that IRI fails to simulate the two signatures while MAGIC partially reproduces the storm features. It is essential to include ground-based GPS measurements to improve the IRI performance.

Key words

Solar eclipse geomagnetic storm IRI GPS TEC MAGIC

1. Introduction

The ionosphere can be affected by a variety of disturbances, including solar flares, coronal mass ejections (CMEs), geomagnetic storms, solar eclipses, etc. Ionospheric eclipse observations make a worthwhile contribution to study transient properties due to decreasing in the ionizing radiation from the Sun. Scientists have been using the total electron content (TEC) derived from ground-based receivers of the global positioning system (GPS) to monitor the source-response relation between the ambient rates of production, chemical loss, and motion of ionization (see papers listed in Afraimovich et al., 1998; Tsai and Liu, 1999; Jakowski et al., 2002; Le et al., 2009).

On the other hand, geomagnetic storms are powerful sources that disturb the ionosphere. During geomagnetic storms, the ionosphere has often been observed to deviate from its quiet time patterns (Prölss, 1987, 1995; Fesen et al., 1989; Fejer and Scherliess, 1995; Fuller-Rowell et al., 1998, 2002; Buonsanto, 1999; Liu et al., 1999; Kil et al., 2003; Lin et al., 2005, 2007). These storm-generated disturbances in electric field, thermospheric neutral wind, and neutral composition affect the mid- and low-latitude ionosphere significantly during the different phases of the magnetic storm. The ionospheric electron density shows either increase or decrease due to changes of the ionospheric drivers depending on storms, conditions and phases.

To simultaneously observe a larger area of the ionosphere responding to solar eclipses and geomagnetic storms, the TEC derived from a network of ground-based GPS receivers is ideal to be employed (Tsai and Liu, 1999). On the other hand, the International Reference Ionosphere (IRI) project was initiated by the Committee on Space Research (COSPAR) and by the International Union of Radio Science (URSI) in the late sixties with the goal of establishing an international standard for the specification of ionospheric parameters based on all worldwide available data from ground-based as well as satellite observations (Bilitza and Reinisch, 2008). The prime function of IRI is to give a general description of the ionosphere as part of the terrestrial environment. To have a better representation of the ionosphere during the storm periods, an empirical ionospheric correction model STORM was designed and included in IRI-2000 and IRI-2007 to capture the changes in F region electron density during geomagnetic storms (Araujo-Pradere and Fuller-Rowell, 2002; Araujo-Pradere et al., 2002). The model is driven by the previous 33 hours of ap, and the output is used to scale the quiet time F region critical frequency (foF2) to account for increases or decreases in electron density resulting from a storm.

Based on the vertical density profiles from the IRI-95 model, the MAGIC system is developed, which uses ground-based GPS observations to reproduce a four-dimensional model of the electron density in the ionosphere (Araujo-Pradere et al., 2007; Minter et al., 2007). The MAGIC model uses a set of empirical orthogonal functions (EOF) with a Kalman filter to characterize the vertical variation in electron density through the ionosphere.

The solar eclipse of 22 July 2009 (Espennak and Anderson, 2008) is the longest one during the 21st century, not to be surpassed until June 2132. It lasts a maximum of 6 minutes and 39 seconds off the coast of Southeast Asia, through northern Maldives, central China, and the Pacific Ocean. Coincidently, a moderate storm occurs at 03:00 UT during the solar eclipse period. In this study, we use IRI-2007, MAGIC, and the TEC of ground-based GPS receivers to observe ionospheric solar eclipse and magnetic storm effects in the West Pacific region during 22–26 July 2009. IRI simulates the average ionospheric plasma density, while ground-based GPS measurements monitor ionospheric TEC variations. These two provide references to examine the MAGIC performance. Note that this is for the first time MAGIC being used to simulate the ionosphere response to a solar eclipse.

2. Observation and Simulation

The GPS consists of more than 24 satellites, distributed in 6 orbits around the globe at an altitude of 20,200 km. Each satellite transmits two frequencies of signals, f1 = 1575.42 and f2 = 1227.60 MHz. Since the ionosphere is a dispersive medium, scientists are able to evaluate the ionospheric effects on the radiowave propagation or the corresponding ray path TEC with measurements of the modulations on carrier phases and code pseudoranges recorded by dual-frequency receivers (Sardón et al., 1994; Leick, 1995; Liu et al., 1996). Here, the slant TEC (STEC) between a GPS satellite and a ground-based receiver can be written as
where L1 and L2 denote the carrier phases of the two frequencies f1 and f2, and dr and ds are the differential biases for receiver and satellite, respectively. From the broadcast ephemeris (i.e. the satellite time, elevation, location, etc.) and a given ionospheric (shell) height, the slant TEC along the ray path can be converted, usually using a simple cosine function of the satellite zenith, into the vertical TEC (VTEC, for simplicity hereafter, TEC) at its associated longitude and latitude (Tsai and Liu, 1999). Here, the vertical TEC is given as (Sover and Fanselow, 1987),
where h1 and h2 are the lower and upper heights of the ionosphere, R is the mean radius of the Earth, and χ is the zenith angle of a GPS satellite to the receiving station. The TEC is in TEC unit (1 TECu = 1016 electron/m2).
We apply IRI-2007 and the MAGIC model to simulate the ionospheric TEC and the F2-peak electron density NmF2 and height hmF2, as well as employ networks of ground-based GPS receivers in Taiwan and Japan to derive the TEC during 7 days before to 4 days after the solar eclipse of 22 July 2009 (July 15–26, 2009). The average value of 1–7 days before the solar eclipse is computed and considered as the reference which is used to extract the eclipse and storm signatures. Figure 1 displays simulated regions of IRI-2007/MAGIC, locations of ground-based GPS receivers, and the solar eclipse totality path.
Fig. 1.

The assimilation region and locations of GPS stations. Dotted symbols denote the GPS stations used by the data assimilation model MAGIC. Circle symbols stand for the TEC at 8 locations computed from associated GPS receiving station and extracted from the IRI and MAGIC models. The arc trace represents the totality (100% obscuration) of the solar eclipse. STK2 (43.5°N 141.9°E), BJFS (39.6°N 115.9°E), AIRA (31.8°N 130.6°E), SHAO (31.1°N 121.2°E), WUHN (30.5°N 114.4°E), 0729 (29.5°N 129.7°E), TNML (24.8°N 121°E), and PIMO (14.6°N 121.1°E).

The IRI-2007 simulation covers 15–45°N, 115–145°E with a spatial resolution of 1° in both latitude and longitude and a time resolution of 1 hour. To simulate features of the moderate storm occuring at 03:00 UT on the solar eclipse day, the STORM model of the IRI-2007 is turn on and given with the latest ap index. For cross comparisons, MAGIC assimilates the data recorded by 213 GPS receiver stations in Taiwan and Japan within the same IRI simulation region. The MAGIC model computes the TEC and the electron density with 1° latitude by 1° longitude, and 15 km altitude grid every 2 minutes. Meanwhile, based on Liu et al. (1996), the TECs over 8 GPS stations are derived to monitor the ionospheric solar eclipse and storm signatures.

3. Result and Interpretation

The solar eclipse appears in the study region during 00:15–04:15 UT, while a moderate magnetic storm occurs at 03:00 UT following with a Dst reduction of −78 nT at 07:00 UT on 22 July 2009 ( Figure 2 reveals the TECs of the IRI, MAGIC, and GPS observation. Since it is based on the IRI-95 simulations and ground-based GPS observations, the MAGIC TEC somewhat inhabits variations of the two. The IRI TECs are generally similar during the 6 study (i.e. 1-reference + 5-event) days, while the MAGIC TEC and observed TEC both yield the minimum on the average/reference day and maximum on the eclipse/storm day. Note that the IRI systemically obtains the greatest value among the three TECs.
Fig. 2.

The magnetic index Dst and Latitude-Time-TEC plots of IRI, MAGIC, ground-based GPS observation during the average of 15–21 and 22–26 July 2009. (a) Dst, (b) IRI, (c) MAGIC, and (d) GPS observation.

Figure 3 illustrates the TECs of the observation, MAGIC, and IRI during 15–26 July and their differences from the associated references of the 22–26 July 2009 solar eclipse and geomagnetic storm event. The MAGIC TEC agrees well with the observed TEC, while the IRI TEC systemically yield greatest value amount the three (Fig. 3(a)), which agrees with that shown in Fig. 2. A detailed study of the TEC differences reveals that the observation and the MAGIC detect generally eclipse TEC reduction signatures (2–4 TECu) during 00:00–03:00 UT and positive storm (TEC enhancement, about 5 to 15 TECu) features from 03:00 to 10:00–12:00 UT, while IRI fails to detect the two signatures (Fig. 3(b)). Note that the TEC of high mid-latitude stations at STK2 (STK2 and BJFS) of MAGIC fail to capture the eclipse (storm) signature.
Fig. 3.

The TEC and its difference of IRI, MAGIC, and observation GPS TEC at 8 stations STK2, BJFS, AIRA, SHAO, WUHN, 0729, TNML, PIMO during 15–26 July 2009. The average of values during 15–21 July 2009 is computed as a reference. (a) The TEC during 15–26 July 2009 and (b) its difference from the associated reference durig 22–26 July 2009. Dotted, gray, and black curves denote the TEC/difference of IRI, MAGIC, and observed TEC, respectively. Three vertical lines stand for the first contact, maximum obscuration, and last contact of eclipse.

Figure 4(a) shows that the NmF2 of IRI is systematically greater than that of MAGIC. A detailed study by using the NmF2 difference shows that no obvious features are simulated by IRI, while MAGIC successfully reproduces the positive storm signature except at STK2 and BJFS (Fig. 4(b)). The NmF2 reductions in MAGIC are rather small unclear during the eclipse (Fig. 4(b)). Figure 5(a) illustrates that the hmF2 simulated by IRI and MAGIC are similar, expect IRI yielding a greater value near the magnetic equator at PIMO. Figure 5(b) further shows that both IRI and MAGIC fail to simulate the hmF2 eclipse and storm signatures.
Fig. 4.

Similar to Fig. 3, the NmF2 and its difference of IRI and MAGIC at the 8 stations. (a) The NmF2 during 15–26 July 2009, and (b) its difference from the associated reference during 22–26 July 2009.

Fig. 5.

Similar to Fig. 3, the hmF2 and its difference of IRI and MAGIC at the 8 stations. (a) The hmF2 during 15–26 July 2009, and (b) its difference from the associated reference during 22–26 July 2009.

4. Discussion and Conclusion

To identify the eclipse and storm signatures, the standard deviation at each station during the observation period, 15–26 July 2009 is computed. It is found that the standard deviation is about 2–3 TECu. Figure 3 shows that the eclipse signature can be detected, except those three low obscuration stations, STK2 (43.5%), BJFS (74.1%), PIMO (49.8%) where the deviations are less than 2 standard deviations of 4–6 TECu. This might partially explain why MAGIC fails to reproduce the eclipse signature at STK2 (obscuration 43.5%). On the other hand, the storm signatures can be detected by all the 8 stations, because the deviations are greater than 2 standard deviations of 4–6 TECu. However, MAGIC still fails to reproduce the positive storm signature of NmF2 at STK2 and BJFS.

IRI fails to simulate the eclipse and storm features in the TEC, NmF2 and hmF2 during the 22 July 2009 event. However, MAGIC (based on IRI-95) with the ground-based GPS measurements successfully simulates the general eclipse and storm features in the TEC and NmF2. MAGIC fails to reproduce the TEC/NmF2 storm signatures at STK2 and BJFS which are located in high mid-latitudes and near the northern boundary of the assimilation region (Fig. 1). It might also be the boundary effect causing the failure. Meanwhile, MAGIC successfully simulates the TEC eclipse signature but not the NmF2, which might result from the EOFs being improperly used. Moreover, due to the same reason MAGIC fails to reproduce the hmF2 eclipse and storm signatures.

We further study the obscuration and latitudinal effects in the IRI TEC and MAGIC TEC as well as the observed TEC during the solar eclipse and the storm periods. Figures 6 and 7 display the normalized TEC reductions vs. the obscuration/magnetic latitude during the solar eclipse period, and the TEC maximum (minimum) vs. the magnetic latitude during the positive (negative) storm phase, respectively. It can be seen that no clear effects can be found in the IRI TEC, and the two effects in the MAGIC TECs are rather complex during the solar eclipse period (Fig. 6). By contrast, the correlation coefficient rate 0.85 shows that the extreme reduction of the observed TEC is proportional to the obscuration percentage (Fig. 6(a)), which suggests that the photochemical process is essential during the solar eclipse. On the other hand, the greatest value of the extreme reduction appears at 20°N magnetic, where is 5–10 degrees north of the crest of the equatorial ionization anomaly (EIA) (Fig. 6(b)). This suggests the E × B plasma fountain being disturbed during the eclipse period.
Fig. 6.

The obscuration and latitudinal effects of the normalized TEC reduction during the solar eclipse period. The reduction has been normalized by its associated background value. (a) The obscuration and (b) geomagnetic latitude effects. The solid line denotes linear regression between the GPS TEC reduction and obscuration.

Fig. 7.

The latitudinal distribution of the normalized TEC maximum and minimum during the storm period. (a) The normalized TEC maximum vs. the magnetic latitude during the positive storm phase, (b) the normalized TEC minimum vs. the magnetic latitude during the negative storm phase.

Figure 7 reveals that no clear latitudinal effect can be found in the IRI TEC during the two storm phases, which agrees with the results in Figs. 2 and 3. It is found that the MAGIC model and the observation yield the greatest value of the TEC maximum (TEC minimum) at about 15°N magnetic, where is near the EIA crest, during the positive (negative) storm phase. These suggest that the most prominent storm signatures occur in the EIA region.

The results show that MAGIC incorporating with IRI and ground-based GPS TEC observations could correctly reproduce the TEC (the TEC and NmF2) during the eclipse (storm) period. Therefore, ground-based TEC measurements might be worthwhile to be included in the IRI model to have better simulations on ionospheric solar eclipse and storm signatures.



C. Y. Lin wish to thank K. I. Oyama at National Cheng Kung University and S. Watanabe at Hokkaido University for inviting to attend IRI2009 Workshop Kagoshima University, Japan, November 2–7, 2009. This work is partially supported by National Science Council in Taiwan under NSC 98-2111-M-008-008-MY3.

Authors’ Affiliations

Institute of Space Science, National Central University
Cooperative Institute for Research in Environmental Sciences, University of Colorado, and Space Environment Center, NOAA
Center for Space and Remote Sensing Research, National Central University
National Space Program Origination
Department of Earth Science, National Cheng Kung University


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