1. Introduction
Methods of determining the location of lightning discharges are broadly classified in two ways [
1]. One uses ground-based observation networks to determine the location of lightning discharges by measuring the generated radio waves (i.e., sferics). The other discerns the location optically from satellites. In the former way, VLF/LF radio waves are often measured to estimate their location, as the lightning discharge generates the highest intensity of radio waves in the VLF/LF band and the VLF/LF radio waves propagate for several thousand kilometers. The intersection method, which is based on magnetic direction-finding measurements exploiting the vector nature of radio waves, was the major method of determining the location. Nonetheless, after the popularization of the Global Navigation Satellite System, the method of the time of arrival (TOA) [
2] or the time of group arrival (TOGA) [
3] was used. In the latter way, satellite measurements were conducted using low-earth-orbit satellites for suborbital observation [
4,
5]. In recent years, observations have been conducted using geostationary orbit satellites that enable a hemispheric view from a single satellite [
6].
Space-based satellite observations were conducted with the Optical Transient Detector (OTD) onboard the OrbView-1/MicroLab satellite (observation range: ±75° latitude) and with the Lightning Imaging Sensor (LIS) onboard the TRMM satellite (observation range: ±35° latitude), which collected data from May 1995 to March 2000 and from 1998 to 2010, respectively. In total, 16-year data from these satellites were statistically processed. Consequently, statistical data, such as the flash rate defined later, are available [
5].
Ground-based radio observation networks provide 2D lightning location catalogs that include information on latitude, longitude, occurrence time, type of lightning, polarity, and peak current. The World Wide Lightning Location Network (WWLLN), operated by the University of Washington, is known as a global network [
7]. It has more than 80 stations around the world. The TOGA method is used to decide the location of VLF radio waves propagating over long distances in waveguide mode between the Earth and the ionosphere. The location can be found when sferics are detected with at least five receiving stations, even if there is no global dense coverage of signal receiving stations, such as more than thousands of receiving stations. Another well-known example is the Earth Networks Total Lightning Network (ENTLN) [
8], which has approximately 1,800 observation points around the world. For regional observation networks, for example, in Japan, there are the Japanese Lightning Detection Network (JLDN) operated by Franklin Japan [
9,
10,
11], the Lightning Location System (LLS) network operated by several electric power companies [
12], and the LIghtning DEtection Network system (LIDEN) operated by the Japan Meteorological Agency [
13].
Blitzortung.org (hereafter,
Blitzortung) is a network for locating lightning discharges in the atmosphere with VLF-band radio receivers based only on the TOA method [
14,
15]. The network aims to establish a lightning location network constructed only by volunteer participants with many stations at a low budget. The price of VLF-band radio receivers as electronic parts kits is about 300 euros, but the completed product is not sold. Therefore, participants must assemble kits, prepare housing for antennas and the Internet connection for sending the measured signal data, and install them. Blitzortung prepares servers that compute the times and locations of lightning discharges from several signal-receiving stations. Participants can use the lightning catalog free of charge. Due to the low cost and simple installation of the system, approximately 5,000 systems are currently installed worldwide. In Japan, the University of Shizuoka and the Shonan Institute of Technology mainly deployed these systems [
16]. Thus far, the University of Shizuoka has installed about 30 receiving stations. Although the number of Blitzortung receiving stations has continued to increase globally and regionally, their detection efficiency and location accuracy have not yet been sufficiently evaluated. In this study, we evaluated the properties of Blitzortung’s lightning location catalog in Japan by comparing it with other catalogs.
2. Observation and Lightning Catalog
The signal receiver uses an inexpensive electronic parts kit sold by Blitzortung [
14]. The antenna for measuring the horizontal component of the magnetic field can be one antenna or a combination of two (recommended) or three antennas. If needed, one vertical component of the electric field is added. Blitzortung’s data server systematically assigns participating receiving stations to several computation domains, such as Europe 1, Oceania, North America 1, Asia, Africa, South America, Japan, North America 2, Europe 2, and Europe 3. The computational domains are expanded as needed. To determine lightning discharge locations, data are required from at least eight receiving stations in sparse network areas or from 12 stations in dense network areas [
15]. In addition, the maximal circular gap (MCG) in a degree in the largest sector of no-signal receiving stations from the perspective of the lighting discharge location must be less than 270 degrees. In other words, signal receiving stations must be in a sector of more than 90 degrees from the viewpoint of the lightning discharge location. After the sferic is observed, each receiver at the receiving station sends data to the server via the Internet immediately after receiving the signal. Each data statement contains the exact arrival time of the received sferic and the geographic location of the receiving station. The computation on the server was processed in the following two steps. In the first step, the starting point is computed using the method [
17] applied to the initial six to 12 first timestamps. Subsequently, a numeric method minimizes the sum of all squared distances on the hyperbola. In addition, spherical coordinates were used to calculate the lightning discharge location. These calculated lightning discharge locations are available for non-commercial purposes to all participants who send data to the server. Since measurement data are not currently exchanged across computational domains, lightning discharge locations are calculated within the range of each domain. At this stage, the latitude and longitude of the lightning discharge, its date and time, and the list of receiving stations used for the calculation are provided for the catalog. However, thus far, polarity and peak current values are not provided. The measured radio waveforms and the operational status at each receiving station can be shown on the web.
The number of receiving stations always fluctuates because prompt and continuous maintenance is practically difficult for the volunteer participants in Blitzortung due to the increased installation numbers. For example, as shown in
Figure 1, Japan had about 40 receiving stations as of January 1, 2023. However, for various reasons, not all receiving stations are active at each receiving station. In this study, six-year data from January 1, 2017, to December 31, 2022, were used for the analysis because many lightning detections have been sufficiently achieved since 2017 (
Figure 2). In addition, in this study, data from 20–50°N and 120–150°E, which contain Japan, are discussed in the statistical analysis.
As a new computational domain, the Asian domain, in addition to the Oceania domain, was introduced for the Japan region after December 12, 2018. Furthermore, the Japanese domain was added after January 1, 2022. These three computational domains for the lightning discharge location in Japan produced three catalogs because the receiving stations were registered in the computational domains. Since one computation domain provided one catalog, we compiled two and three catalogs as one catalog when the two lightning discharges that occurred within 0.1-ms intervals were regarded as identical.
3. Statistical studies
For a statistical evaluation of the number of lightning discharges, the number of flashes per square kilometer for a certain period, called the
flash rate, was introduced. In this analysis, data from OTD/LIS (which mainly detects intra-cloud lightning), WWLLN (which mainly detects cloud-to-ground (CG) strokes), and Blitzortung were used and calculated on grids of 0.5, 0.1, and 0.1 degrees, respectively.
Figure 3a–c illustrate the number of flashes per square kilometer per year in OTD/LIS, WWLLN, and Blitzortung.
Figure 4a,b demonstrate the number of flashes per square kilometer per day in summer (June–August) and winter (December–February), respectively.
Figure 5a,b depict the difference between Blitzortung and WWLLN for the one-degree grid regarding the number of flashes per square kilometer per day in summer (June–August) and winter (December–February), respectively. Notably, this difference is positive when the flash rate of Blitzortung is larger than that of WWLLN.
It is expected that the flash rate calculated from OTD/LIS, which can detect lightning discharges almost globally, would not cause a detection efficiency that is spatially inhomogeneous to that of ground-based WWLLN and Blitzortung, the ground stations of which are located inhomogenously. Accordingly, we compared the flash rates of Blitzortung and WWLLN with those of OTD/LIS (
Figure 3). The flash rate of WWLLN in the Nansei Islands around Okinawa appears greater than in other areas (
Figure 3c). The OTD/LIS data for the land areas of Russia and northern China in
Figure 3a show a larger flash rate than the WWLLN and Blitzortung data. Importantly, the period of the OTD/LIS observation was not 2017–2022, which was used for the Blitzortung and WWLLN data. It can be inferred that the detection efficiency of WWLLN is also inhomogeneous due to the receiving station’s configuration. These differences can be attributed to the influence of the configurations of the receiving stations for both Blitzortung and WWLLN, which is clear in the case of Blitzortung.
In Japan, significant lightning discharge activities occur in the Kanto region in the summer [
18]. In this region, the flash rate in Blitzortung was higher than that in WWLLN (
Figure 5a). In contrast, in the Pacific Ocean off the Kanto region, significant lightning discharges [
12,
13] are consistent with the data from OTD and WWLLN but not from Blitzortung. This may be because measurable receiving stations were found outside this area for Blitzortung. Since summer thunderstorms dominate annual thunderstorm activity, these features are also observable in
Figure 4a,b.
In Japan, the features of winter lightning differ from those of summer lightning [
19]. The former is characterized by a single lightning discharge, the number of lightning instances regardless of the local time, several lightning discharges with high energy, a high rate of occurrence of positive CG strokes, and a high rate of occurrence of CG strokes initiated by an upward leader.
Figure 4 reveals that the number of flashes per square kilometer of winter lightning is about one-third that of summer lightning and that winter lightning is more pronounced in the Hokuriku region and off the Kanto region.
Figure 5b depicts that WWLLN had a higher flash rate in both regions than Blitzortung in winter.
4. Event Studies
Summer lightning events in the Kanto area and winter lightning events in the Hokuriku area were analyzed using the lightning catalogs of JLDN, WWLLN, and Blitzortung. JLDN is a lightning discharge catalog specialized for Japan. Its detection efficiency is estimated to be 100% in summer when the peak current is more than 5 kA [
9] and its location accuracy is 0.4 km in summer [
10]. Since other detailed evaluations of the false identification rate of positive CG strokes [
11] have been conducted, the characteristics of the catalog are well known, which makes it a suitable reference for comparisons similar to those in this study. In this analysis, only the CG stroke in the JLDN catalog was used.
For summer lightning, four days of intense lightning activity were selected from the period between 2017 and 2022, which corresponded to the beginning, middle, last, and last terms of the analyzed period 2017-2022, respectively. The analysis domains were 139.1–140.1°E and 35.1–36.0°N. The universal times and dates were 4:00–7:00 UTC on July 18, 2017; 4:30–7:00 UTC on May 4, 2019; 2:00–6:00 UTC on June 3, 2022; and 4:00–7:00 UTC on August 3, 2022. For all these dates, lightning discharge locations were shown only for the CG strokes of JLDN, Blitzortung, and WWLLN (
Figure 6). Next, two days with intense winter lightning activities in 2020 and 2021 were selected (
Figure 7). The analysis domains were 136–137°E and 36.5–37.5°N. The universal times and dates were 11:00–12:00 UTC on December 18, 2020, and 22:30–23:30 UTC on December 18, 2021.
The detection efficiencies of WWLLN and Blitzortung relative to JLDN were calculated for summer lightning and winter lightning, respectively. When the time interval between Blitzortung or WWLLN and JLDN was within 0.1 ms, the lightning discharges were regarded as the same (
Table 1 and
Table 2). For summer lightning, WWLLN has a detection efficiency relative to JLDN of roughly 10% on any day. However, the detection efficiency of Blitzortung ranged from 25% to 95%, as depicted in
Table 1. In the last two cases of June 3 and August 3, 2022, corresponding to the last terms, the detection efficiency was roughly 90%. Because the CG stroke detection efficiency of JLDN is 100% when the peak current is more than 5 kA [
9], Blitzortung’s is estimated at 25–95%. The results for winter lightning in
Table 2 diverge from those for summer lightning in
Table 1. It is known that the 2D winter lightning location is difficult to measure in the determination and identification of CG strokes and intracloud (IC) lightning discharges. Thus, winter lightning evaluations are difficult to compare, even with JLDN.
The distribution of the relative distances of the WWLLN and Blitzortung locations to the location of the JLDN was then obtained (
Figure 8). Importantly, all the data in
Figure 6 and
Table 1 were used to produce
Figure 8. The results convey that Blitzortung had a mode of 2 km, a mean of 5.3 km, and a median of 2.9 km, whereas WWLLN had a mode of 3 km, a mean of 5.4 km, and a median of 3.6 km. In the Kanto region, Blitzortung had a slightly smaller deviation than the WWLLN. This is understandable because Blitzortung has more receiver points deployed around the Kanto area, as revealed in
Figure 1, and a higher relative detection efficiency than WWLLN, as shown in
Table 1. Since the location accuracy of JLDN in summer was 0.31 km on average [
10], the latest mean location accuracy was roughly inferred to be up to 5.6 km.
5. Discussion
Lightning location networks based on VLF/LF radio wave measurement are operating globally and regionally. The main purpose of these networks is to identify the 2D locations of CG strokes by measuring return strokes. Typical IC lightning discharges and related phenomena, such as step leaders, dirt leaders, K-events, and recoil streamers, are emitted mainly in the VHF band. Therefore, radio interferometry measurements [
20] and TOA measurements [
21] in the VHF band that allow for tracking leaders are useful for observing the detailed features of lightning, such as for identifying IC discharges and upward or downward leader directions. Hence, in this study, the detailed structure of lightning was depicted in three dimensions so CG strokes and IC lightning discharges could be clearly identified in the VHF radio wave measurement. Conversely, 2D lightning detection networks using VLF/LF radio wave measurements have traditionally separated CG strokes from IC lightning discharges by considering the shape, amplitude, and duration of the pulse waveform [
22]. However, numerous cases have noted that a certain percentage of detected lightning discharges cannot be adequately identified as CG strokes or IC lightning discharges [
11,
23,
24]. To solve these problems, a pseudo-3D calculation method has been proposed that attempts to separate CG strokes from IC lightning discharge by calculating the altitude of the discharge from the VLF band [
25]. Thus, it is assumed that both Blitzortung and WWLLN mainly detect CG strokes. Nonetheless, their identification as CG strokes and IC discharge lightning, as was done with WWLLN [
26], is a future issue.
In Blitzortung, polarity and peak current values have not been provided thus far. Considering that waveform data for each receiving station are currently available on the web, polarity and peak current values are expected to be provided probably soon. Similarly, the identification of CG strokes and IC lightning discharges is expected to be introduced, although false positives are expected to some extent. In addition, since a dense receiving station has been prepared, a pseudo-3D observation [
25] can be applied to enable the novel identification of CG strokes and IC lightning discharges.
As shown in
Figure 5, Blitzortung detected more CG strokes than WWLLN in areas where its receiving stations were more densely installed than those of WWLLN, such as the Kanto area. In contrast, Blitzortung did not sufficiently detect CG strokes outside areas where its receiving stations were more densely installed, such as off Kanto, which differed from WWLLN. This discrepancy originates from the introduction of the MCG condition. If the MCG were set up to be smaller, the detection number outside the dense receiving stations might increase.
6. Conclusion
This study conducted a catalog evaluation of Blitzortung in Japan. The results suggest that when an area is surrounded by receiving stations, such as the Kanto area, the latest detection efficiency of Blitzortung for CG strokes is roughly 90%. In terms of lightning location accuracy, Blitzortung can determine the location accuracy of a mode of 2 km, a mean of 5.3 km, and a median of 2.9 km relative to JLDN. Compared with the mean location accuracy of JLDN, the latest mean location accuracy of Blitzortung was roughly inferred at up to 5.6 km. We conclude that Blitzortung can be used for a rough discussion of scientific research on lightning, although it does not reach commercial use.
Author Contributions
Conceptualization, M.K. and T.S.; methodology, M.K. and T.S.; software, M.K. and T.S.; validation, M.K., T.S., T.N., and E.W.; formal analysis, M.K. and T.S.; investigation and observation, M.K., T.S., H.F., T.N., E.W., K.M., T.K., J.I., A.M., N.T., and Y.M.; resources, M.K., T.N., E.W., T.N., A.M., and N.T.; data curation, M.K.; writing—original draft preparation, M.K. and T.S; writing—review and editing, M.K., T.S., H.F., T.N., E.W., K.M., T.K., J.I., A.M., N.T., and Y.M.; visualization, M.K. and T.S.; supervision, M.K.; project administration, M.K. and T.S.; funding acquisition, M.K., T.N., and A.M. All authors have read and agreed to the published version of the manuscript.
Funding
The installation of receiving stations around Mt. Fuji in this study was supported by the JSPS Grant-in-Aid for Scientific Research (20H02419 and 22H03720), Fiscal 2023 Support Funding for Activities to Prevent and Mitigate Disasters of the Yahoo Japan Foundation, and the Sasakawa Scientific Research Grant of the Japan Science Society (2023-8012). The installation of receiving stations around Hokuriku in this study was supported by the cooperative research program of the Institute of Nature and Environmental Technology of Kanazawa University (16004, 17008, 18013, 19018, 21067, 23060).
Data Availability Statement
Blitzortung.org data were provided by Blitzortung.org only when users participated in the measurement. The WWLLN data were provided by the University of Washington (
http://wwlln.net/) at nominal cost. The OTD/LIS dataset was provided by the NASA Earth Science Data and Information System project and the Global Hydrology Resource Center Distributed Active Archive Center. The JLDN data were provided by Franklin Japan Co., Ltd. (
https://www.franklinjapan.jp/), at a cost.
Acknowledgments
The authors are deeply grateful to Etsuo Arakawa of Tokyo Gakugei University, Tatsuo Torii of the University of Fukui and Fukushima University, Toyoshi Shimomai of Shimane University, Aoyama Civil Engineering, and the KIKAI Institute for Coral Reef Sciences for the installation of the system. The authors also deeply thank Mt. Fuji Research Station for installing the system at the summit of and around Mt. Fuji. The Blitzortung.org data set was supported by the contributions of many volunteers who constructed receiving stations. The authors express their appreciation for WWLLN, a collaboration between more than 50 universities and research institutions, for providing the lightning location data used in this paper.
Conflicts of Interest
The authors declare no conflict of interest.
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