1. Introduction
Recently, a month-long earthquake swarm has been occurring in the Tokara Islands, a volcanic archipelago situated in the southern seas, considerably distant from Japan's main islands [1,2]. This has happened over 2000 times to date. This region encompasses the Kikai Caldera, which experienced a supereruption approximately 7,300 years ago [3,4], and represents the southern terminus of the Nankai Trough [5], a zone of significant seismic concern. Consequently, speculation regarding catastrophic eruptions and earthquakes has proliferated across social media platforms, prompting official denials from the Japan Meteorological Agency (JMA). However, a comprehensive explanation of the current seismic activity remains absent. This study attempts to provide such an explanation through the application of Exploratory Data Analysis (EDA), a contemporary statistical methodology. The application of EDA has revealed distinct distributional characteristics for earthquake intervals and magnitudes [6]. Specifically, earthquake intervals demonstrate exponential distribution, whilst magnitudes follow normal distribution, thereby disproving the long-established Gutenberg-Richter law [7]. This discovery enables precise measurement of parameters characterising seismic activity within specific temporal and spatial contexts, facilitating comparative analysis and evaluation.
The Tokara region has historically been characterised by frequent seismic activity. Several islands host active volcanoes, particularly Suwanose Island, which lies in proximity to the epicentral area and exhibits frequent eruptive behaviour. The relationship between volcanic and seismic phenomena is well-established; the energy released during tectonic plate movement may contribute to magma generation [8,9]. Seismic events may enhance volcanic eruption likelihood through induced strain [10], whilst conversely, eruptions may trigger seismic activity. However, the relationship between eruptions and earthquakes at Suwanose Island demonstrates temporal complexity [11]. During 2021, earthquake swarms occurred in April and December, about 300 times each, whilst eruptive activity continued throughout this period. The April swarm commenced approximately one week following a significant eruption, whereas the December swarm occurred several months subsequently. The spatial distribution of seismic events during this period exhibited similarities to the current earthquake swarm pattern. Presently, Suwanose Island has maintained volcanic activity since June 2023, with increased magma accumulation reported in May 2025.
2. Materials and Methods
2.1. Data Collection
The most recent data on earthquake occurrence times and magnitudes were obtained from the Japan Meteorological Agency (JMA) website [13]. Epicentre locations were also acquired from the website [14]. Historical data were obtained from JMA public datasets [12], which included epicentre information.
2.2. Data Distribution Confirmation and Parameter Estimation
All statistical analyses were conducted using R, a statistical computing environment [6,15]. Inter-earthquake intervals were calculated by determining the temporal difference between consecutive events in chronological order. Whilst no specific geographical region was designated for the overall analysis, the data presented in Figure 3 are restricted to the Tokara Islands area. The data were sorted and compared with equivalent numbers of theoretical distributions. Parameters were estimated from these linear relationships using the robust R line function.
3. Results
3.1. Present Parameters
The frequency of this earthquake swarm is exceptionally high, averaging approximately once every 0.19 hours (
Figure 1A). The quantile-quantile (QQ) plot exhibits significant deviation from linearity due to this swarm activity, which occurs 36 times more frequently than the previous baseline frequency of once every 6.8 hours. Prior to the earthquake swarm, the QQ plot demonstrated linearity consistent with exponential distribution (S1A). Such earthquake swarms are frequently observed following major seismic events or during periods of volcanic activity. For instance, similar patterns were documented following the 2000 Miyake Island eruption, where the QQ plot exhibited comparable deviation from linearity (
Figure 1B). In that case, seismic frequency increased from once every 8.3 hours pre-eruption to once every 0.34 hours post-eruption.
The magnitudes recorded during this earthquake cluster were substantially lower than baseline values (
Figure 1C). The graph is curved because there are two different phases (compare with
Figure S1B). The magnitude distribution was similarly affected by this clustering, with the scale (σ) decreasing from σ = 1.2 to σ = 0.37. This contrasts markedly with the Miyake Island case, where σ increased from an initial value of 0.65 to 1.9. This disparity likely reflects fundamental differences in the causal mechanisms underlying the Miyake Island and Tokara seismic events. At Miyake Island, a significant earthquake occurred almost simultaneously with the eruption (
Figure 1D), whereas at Tokara, the temporal relationship between eruptive and seismic activities was not necessarily synchronous.
3.2. Movement of the Epicentral Location
On the morning of 8 July, the seismic swarm characteristics underwent subtle modifications (
Figure 2A). The epicentral location shifted from the seabed between Akuseki and Takara Islands to waters adjacent to Suwanose Island. From 9 July onwards, these parameters have exhibited a tendency to revert towards their pre-swarm values (
Figure 2B and 2C), and the epicentral locations have returned to the previous area.
3.3. Comparison with Previous Earthquakes
The observed parameters for the current 2025 earthquake cluster demonstrate remarkable similarity to those recorded during the two cluster earthquakes of 2021 (
Figure 3). When compared with theoretical ideal distributions, the observed distributions are statistically identical except in the right tail, where both intervals and magnitudes increase. The small right tail might indicate changes in the swarm location (
Figure 2). Rather, it should be noted that the observed parameters in most of the data area demonstrate remarkable consistency between the current 2025 earthquake cluster and the two 2021 cluster events.
4. Discussion
In the month preceding the Tohoku earthquake, the magnitudes’σ reached 1.3 whilst μ was significantly elevated at 3.6 (
Figure S2). The frequency was exceptionally high, averaging 3.7 hours even when cluster earthquakes were excluded from the analysis. This trend was particularly pronounced in the more immediate pre-seismic period, creating conditions conducive to large-magnitude earthquakes (Konishi, 2025). The current situation in the Tokara Islands presents a markedly different pattern, characterised by lower σ values (
Figure 1). Consequently, there are presently no indications of an impending megathrust earthquake of Tohoku-class magnitude. Given that these data encompass the entirety of Japan, this suggests the absence of imminent major seismic activity across the Japanese archipelago.
The magnitude distribution of earthquakes occurring between Akuseki and Takara Islands exhibits consistently low σ values, which have remained stable since 2021 (
Figure 3B). Therefore, high-magnitude earthquakes are not anticipated in this region; although frequent low-magnitude events will continue and σ is expected to increase as the swarm activity diminishes, hence occasional moderate events may occur stochastically. The relatively low energy signatures observed may be attributed to magma movement, which requires less energy than plate displacement due to magma's lower viscosity compared to solid crustal material. In contrast, the earthquake swarms during the Miyake Island eruption may not have been primarily driven by magma movement but rather represented aftershock sequences from a major earthquake, with energy sources attributable to plate tectonics (
Figure 1D).
The current earthquake swarm in the Tokara Islands is most likely caused by magma movement. The temporal correlation between volcanic activity at Suwanose Island and earthquake swarms at this location in both 2021 and 2025, coupled with nearly identical statistical parameters (
Figure 3), suggests the presence of a persistent magma conduit system and a geological structure predisposed to seismic activity. The prolonged nature of current volcanic activity corresponds with the extended duration of the earthquake swarm. However, magma flow patterns appear to vary temporally, potentially triggering swarm activity at alternative locations with correspondingly different seismic parameters (
Figure 2). Given the ongoing volcanic activity at Suwanose Island, magma movement is likely to persist, with earthquake activity continuing until volcanic processes cease.
Whether this activity will remain confined to the existing eruption at Suwanose Island or result in the formation of new eruptive centres [16] remains uncertain. This uncertainty stems from the absence of published quantitative data regarding eruption magnitude [17]. Access to quantitative measurements of the 2021 eruption and their relationship to seismic activity would enable meaningful comparison with current conditions. Observations suggest potential changes in island positions, indicating the possibility of large-scale geological modifications [1]. For predictive purposes, the development of standardised methods for quantifying eruptive activity would be highly beneficial.
5. Conclusions
The seismic activity discussed herein has persisted over an extended period and has occurred with notable frequency. Nevertheless, its parameters and epicentral location closely resemble those documented in 2021, with a particularly low magnitude scale (σ). A recurrent phenomenon associated with these events is the eruption of Suwanose Island, suggesting a strong link between the earthquakes and magmatic movement related to volcanic activity. Given the consistently small magnitude σ, the likelihood of a significant seismic event appears low. Furthermore, no precursory signals indicative of a large-scale earthquake, such as those observed prior to the 2011 Tohoku earthquake, have been detected.
Supplementary Materials
The following supporting information can be downloaded at the website of this paper posted on Preprints.org, Figure S1: Statistical distributions before the earthquake swarm.; Figure S2: Statistical distributions before the earthquake swarm.
Funding
This research received no external funding.
Data Availability Statement
Conflicts of Interest
The author declares no conflicts of interest.
Abbreviations
The following abbreviations are used in this manuscript:
| EDA |
Exploratory Data Analysis |
| JMA |
the Japan Meteorological Agency |
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