Seismic Swarms Occurrence Rate and b-value Mapping at Taupo Volcanic Zone
DOI:
https://doi.org/10.26443/seismica.v5i1.1893Keywords:
ETAS model, b-value tomography, swarm-informed ETAS, Taupo Volcanic ZoneAbstract
We analyze the seismicity of the Taupō Volcanic Zone (TVZ) over a 17-year period (2007-2024) using a swarm-informed ETAS model and high-resolution b-value mapping. To better describe swarm dynamics, marked by rapid, clustered activity without a mainshock, we introduce a modified Epidemic Type Aftershock Sequence (ETAS) kernel with finite memory and exponential tapering, which explicitly accounts for the finite duration of seismic swarm activity. This new model outperforms the classical ETAS, capturing the full temporal evolution of swarm sequences. The inferred rate highlights recurrent swarm episodes and captures known unrest periods in the TVZ (e.g., the 2019 Taupō unrest), illustrating how the proposed kernel can represent multi-swarm, non-Omori temporal clustering. Moreover, using the unstruCtUred B mappIng Tool CUBIT algorithm and the b-more-positive estimator, we map spatial and temporal variations in the b-value. Higher b-values are observed in younger, hotter volcanic centers, while older systems show lower values. A subtle positive skewness in the b-value distribution is linked to local magnitude range effects, underscoring the interplay between catalog completeness and stress heterogeneity. Our results highlight the importance of combining physically informed models with robust statistical tools to understand and monitor volcanic swarm activity.
References
Amitrano, D. Brittle-ductile transition and associated seismicity: Experimental and numerical studies and relationship with the b value. Journal of Geophysical Research: Solid Earth, 108(B1):2044, 2003. doi: 10.1029/2001JB000680. DOI: https://doi.org/10.1029/2001JB000680
Barker, S. J., Wilson, C. J., Illsley-Kemp, F., Leonard, G. S., Mestel, E. R., Mauriohooho, K., and Charlier, B. L. Taupō: an overview of New Zealand’s youngest supervolcano. New Zealand Journal of Geology and Geophysics, 64(2-3):320–346, 2021. doi: 10.1080/00288306.2020.1792515. DOI: https://doi.org/10.1080/00288306.2020.1792515
Bridges, D. L. and Gao, S. S. Spatial variation of seismic b-values beneath Makushin Volcano, Unalaska Island, Alaska. Earth and Planetary Science Letters, 245(1–2):408 – 415, 2006. doi: 10.1016/j.epsl.2006.03.010. DOI: https://doi.org/10.1016/j.epsl.2006.03.010
Cas, R. A. The fatal 9th December 2019 eruption disaster on Whakaari/White Island volcano, New Zealand: Contributing factors, failures, and lessons for volcano tourism. Journal of Volcanologyand Geothermal Research, page 108461, 2025. doi: 10.1016/j.jvolgeores.2025.108461. DOI: https://doi.org/10.1016/j.jvolgeores.2025.108461
Chiba, K. and Shimizu, H. Spatial and temporal distributions of b-value in and around Shinmoe-dake, Kirishima volcano, Japan. earth, planets and space, 70(1):1–9, 2018. doi: 10.1186/s40623-018-0892-7. DOI: https://doi.org/10.1186/s40623-018-0892-7
Cole, J., Thordarson, T., and Burt, R. Magma origin and evolution of White Island (Whakaari) volcano, Bay of plenty, New Zealand. Journal of Petrology, 41(6):867–895, 2000. doi: 10.1093/petrology/41.6.867. DOI: https://doi.org/10.1093/petrology/41.6.867
Collettini, C., Barchi, M. R., De Paola, N., Trippetta, F., and Tinti, E. Rock and fault rheology explain differences between on fault and distributed seismicity. Nature communications, 13(1):5627, 2022. doi: 10.1038/s41467-022-33373-y. DOI: https://doi.org/10.1038/s41467-022-33373-y
Convertito, V., Tramelli, A., and Godano, C. b map evaluation and on-fault stress state for the Antakya 2023 earthquake. Scientific Reports, 2024a. doi: 10.1038/s41598-023-50837-3. DOI: https://doi.org/10.1038/s41598-023-50837-3
Convertito, V., Tramelli, A., and Godano, C. Evaluation of the b Maps on the Faults of the Major (M> 7) South California Earthquakes. Earth and Space Science, 11(6):e2023EA002933, 2024b. doi: 10.1029/2023ea002933. DOI: https://doi.org/10.1029/2023EA002933
Convertito, V., Godano, C., Petrillo, G., and Tramelli, A. Insights from b value analysis of Campi Flegrei unrests. Scientific Reports, 15(1): 14974, 2025. doi: 10.1038/s41598-025-98240-4. DOI: https://doi.org/10.1038/s41598-025-98240-4
D., S., S., W., and M, W. Variations in earthquake-size distribution across different stress regimes. Nature, 437, 2005. doi: 10.1038/na-ture04094. DOI: https://doi.org/10.1038/nature04094
Farrell, J., Husen, S., and Smith, R. B. Earthquake swarm and b-value characterization of the Yellowstone volcano-tectonic system. Journal of Volcanology and Geothermal Research, 188(1-3):260–276, 2009. doi: 10.1016/j.jvolgeores.2009.08.008. DOI: https://doi.org/10.1016/j.jvolgeores.2009.08.008
Gentili, S., Brondi, P., Rossi, G., Sugan, M., Petrillo, G., Zhuang, J., and Campanella, S. Seismic clusters and fluids diffusion: a lesson from the 2018 Molise (Southern Italy) earthquake sequence. Earth, Planets and Space, 76(1):157, 2024. doi: 10.1186/s40623-024-02096-3. DOI: https://doi.org/10.1186/s40623-024-02096-3
Godano, C., Convertito, V., Pino, N. A., and Tramelli, A. An Automated Method for Mapping Independent Spatial b Values. Earth and Space Science, 9(6):e2021EA002205, 2022a. doi: 10.1029/2021EA002205. DOI: https://doi.org/10.1029/2021EA002205
Godano, C., Tramelli, A., Petrillo, G., Bellucci Sessa, E., and Lippiello, E. The dependence on the Moho depth of the b-value of the Gutenberg–Richter law. Bulletin of the Seismological Society of America, 112(4):1921–1934, 2022b. doi: 10.1785/0120210144. DOI: https://doi.org/10.1785/0120210144
Godano, C., Tramelli, A., Mora, M., Taylor, W., and Petrillo, G. An analytic expression for the volcanic seismic swarms occurrence rate. A case study of some volcanoes in the world. Earth and Space Science, 10(2):e2022EA002534, 2023. doi: 10.1029/2022ea002534. DOI: https://doi.org/10.1029/2022EA002534
Godano, C., Petrillo, G., and Lippiello, E. Evaluating the incompleteness magnitude using an unbiased estimate of the b value. Geophysical Journal International, 236(2):994–1001, 2024a. doi: 10.1093/gji/ggad466. DOI: https://doi.org/10.1093/gji/ggad466
Godano, C., Tramelli, A., Papadimitriou, E., Karakostas, V., Petrillo, G., and Convertito, V. b-Value Maps for Some Volcanoes Worldwide: What Do We Learn? Seismological Research Letters, 95(6):3557–3565, 2024b. doi: 10.1785/0220240204. DOI: https://doi.org/10.1785/0220240204
Godano, C., Tramelli, A., Petrillo, G., and Convertito, V. Testing the Predictive Power of b Value for Italian Seismicity. Seismica, 3(1), 2024c. doi: 10.26443/seismica.v3i1.1084. DOI: https://doi.org/10.26443/seismica.v3i1.1084
Godano, C., Lippiello, E., and Petrillo, G. Unsupervised Likelihood Inference of the b-Value via Magnitude Differences. Journal of Geophysical Research: Machine Learning and Computation, 2(4):e2025JH000863, 2025a. doi: 10.1029/2025JH000863. DOI: https://doi.org/10.1029/2025JH000863
Godano, C., Petrillo, G., Tramelli, A., and Convertito, V. The b-Value Tomography of the Calabrian Arc. Earth and Space Science, 12(6): e2024EA004065, 2025b. doi: 10.1029/2024EA004065. DOI: https://doi.org/10.1029/2024EA004065
Gulia, L. and Wiemer, S. The influence of tectonic regimes on the earthquake size distribution: A case study for Italy. Geophysical Research Letters, 37(10), 2010. doi: 10.1029/2010GL043066. DOI: https://doi.org/10.1029/2010GL043066
Gulia, L. and Wiemer, S. Real-time discrimination of earthquake foreshocks and aftershocks. Nature, 574:193–199, 2019. doi: 10.1038/s41586-019-1606-4. DOI: https://doi.org/10.1038/s41586-019-1606-4
Gulia, L., Rinaldi, A. P., Tormann, T., Vannucci, G., Enescu, B., and Wiemer, S. The Effect of a Mainshock on the Size Distribution of the Aftershocks. Geophysical Research Letters, 45(24):13,277–13,287, 2018. doi: 10.1029/2018GL080619. DOI: https://doi.org/10.1029/2018GL080619
Gulia, L., Wiemer, S., and Vannucci, G. Pseudoprospective Evaluation of the Foreshock Traffic-Light System in Ridgecrest and Implications for Aftershock Hazard Assessment. Seismological Research Letters, 91:2828—2842, 2020. doi: 10.1785/0220190307. DOI: https://doi.org/10.1785/0220190307
Gutenberg, B. and Richter, C. Frequency of earthquakes in California. Bulletin of the Seismological Society of America, 34(4):185–188, 1944. doi: 10.1785/bssa0340040185. DOI: https://doi.org/10.1785/BSSA0340040185
Hainzl, S. and Christophersen, A. Testing alternative temporal aftershock decay functions in an ETAS framework. Geophysical Journal International, 210(2):585–593, 2017. doi: 10.1093/gji/ggx184. DOI: https://doi.org/10.1093/gji/ggx184
Helmstetter, A. Is Earthquake Triggering Driven by Small Earthquakes? Phys. Rev. Lett, 91:058501, Jul, 2003. doi: 10.1103/Phys-RevLett.91.058501. DOI: https://doi.org/10.1103/PhysRevLett.91.058501
Illsley-Kemp, F. and Mestel, E. A new consistent and high-precision earthquake catalogue for the Taupō Volcanic Zone, New Zealand. Seismica, 4(1), 2025. doi: 10.26443/seismica.v4i1.1490. DOI: https://doi.org/10.26443/seismica.v4i1.1490
Illsley-Kemp, F., Barker, S. J., Wilson, C. J., Chamberlain, C. J., Hreinsdóttir, S., Ellis, S., Hamling, I. J., Savage, M. K., Mestel, E. R., and Wadsworth, F. B. Volcanic unrest at Taupō volcano in 2019: Causes, mechanisms and implications. Geochemistry, Geophysics, Geosys-tems, 22(6):e2021GC009803, 2021. doi: 10.1029/2021gc009803. DOI: https://doi.org/10.1029/2021GC009803
Jolly, A. D. and McNutt, S. R. Seismicity at the volcanoes of Katmai National Park, Alaska; July 1995–December 1997. Journal of Volcanology and Geothermal Research, 93(3-4):173–190, 1999. doi: 10.1016/s0377-0273(99)00115-8. DOI: https://doi.org/10.1016/S0377-0273(99)00115-8
Kamer, Y. and Hiemer, S. Data-driven spatial b value estimation with applications to California seismicity: To b or not to b. Journal of Geophysical Research: Solid Earth, 120(7):5191–5214, 2015. doi: 10.1002/2014JB011510. DOI: https://doi.org/10.1002/2014JB011510
Kilgour, G., Manville, V., Della Pasqua, F., Graettinger, A., Hodgson, K., and Jolly, G. The 25 September 2007 eruption of Mount Ruapehu, New Zealand: directed ballistics, surtseyan jets, and ice-slurry lahars. Journal of Volcanology and Geothermal Research, 191(1-2):1–14, 2010. doi: 10.1016/j.jvolgeores.2009.10.015. DOI: https://doi.org/10.1016/j.jvolgeores.2009.10.015
Knett, J. Das Erzgebirgische Schwarmbeben zu Hartenberg vom 1. Jänner bis 5. Feber 1824. Mercy, 1899.
Kumazawa, T. and Ogata, Y. Nonstationary ETAS models for nonstandard earthquakes. The Annals of Applied Statistics, 8(3):1825, 2014. doi: 10.1214/14-aoas759. DOI: https://doi.org/10.1214/14-AOAS759
Leonard, G. S., Cole, R. P., Christenson, B. W., Conway, C. E., Cronin, S. J., Gamble, J. A., Hurst, T., Kennedy, B. M., Miller, C. A., Procter, J. N., et al. Ruapehu and Tongariro stratovolcanoes: a review of current understanding. New Zealand Journal of Geology and Geophysics, 64 (2-3):389–420, 2021. doi: 10.1080/00288306.2021.1909080. DOI: https://doi.org/10.1080/00288306.2021.1909080
Lippiello, E. and Petrillo, G. b-more-incomplete and b-more-positive: Insights on a robust estimator of magnitude distribution. Journal of Geophysical Research: Solid Earth, 129(2):e2023JB027849, 2024. doi: 10.1029/2023jb027849. DOI: https://doi.org/10.1029/2023JB027849
Lippiello, E., Petrillo, G., Landes, F., and Rosso, A. Fault Heterogeneity and the Connection between Aftershocks and Afterslip. Bulletin of the Seismological Society of America, 109(3):1156–1163, 04, 2019. doi: 10.1785/0120180244. DOI: https://doi.org/10.1785/0120180244
Lippiello, E., Petrillo, G., Landes, F., and Rosso, A. The Genesis of Aftershocks in Spring Slider Models. Statistical Methods and Modeling of Seismogenesis, 1:131–151, 2021. doi: 10.1002/9781119825050.ch5. DOI: https://doi.org/10.1002/9781119825050.ch5
Lippiello, E., Petrillo, G., Godano, C., and Dal Zilio, L. Toward Recognizing the Waveform of Foreshocks. Geophysical Research Letters, 52(15), 2025a. doi: 10.1029/2025gl115466. DOI: https://doi.org/10.1029/2025GL115466
Lippiello, E., Petrillo, G., Godano, C., Papadimitriou, E., Karakostas, V., and Anagnostou, V. 2025 Santorini-Amorgos crisis triggered by a transition from volcanic to regular tectonic activity. arXiv preprint arXiv:2504.21371, 2025b. doi: 10.48550/arXiv.2504.21371. DOI: https://doi.org/10.21203/rs.3.rs-6509383/v1
Liu, Y., Zhuang, J., Guo, Y., Jiang, C., Tian, Q., Zhang, Y., and Long, F. Background and clustering characteristics of recent seismicity in Southwestern China. Geophysical Journal International, 238(3):1291–1313, 2024. doi: 10.1093/gji/ggae211. DOI: https://doi.org/10.1093/gji/ggae211
Mesimeri, M., Kourouklas, C., Papadimitriou, E., Karakostas, V., and Kementzetzidou, D. Analysis of microseismicity associated with the 2017 seismic swarm near the Aegean coast of NW Turkey. Acta Geophysica, 66:479–495, 2018. doi: 10.1007/s11600-018-0157-7. DOI: https://doi.org/10.1007/s11600-018-0157-7
Mignan, A. Modeling aftershocks as a stretched exponential relaxation. Geophysical Research Letters, 42(22):9726–9732, 2015. doi: 10.1002/2015gl066232. DOI: https://doi.org/10.1002/2015GL066232
Miller, S. A., Collettini, C., Chiaraluce, L., Cocco, M., Barchi, M., and Kaus, B. J. Aftershocks driven by a high-pressure CO2 source at depth. Nature, 427(6976):724–727, 2004. doi: 10.1038/nature02251. DOI: https://doi.org/10.1038/nature02251
Mogi, K. Study of the elastic shocks caused by the fracture of heterogeneous materials and its relation to earthquake phenomena. Bull. Earthq. Res. Inst. Tokyo Univ, 40:125–173, 1962.
Morgenstern, R., Litchfield, N. J., Langridge, R. M., Heron, D. W., Townsend, D. B., Villamor, P., Barrell, D. J. A., Ries, W. F., Van Dis-sen, R. J., Clark, K. J., Coffey, G. L., Zoeller, A., Howell, A., and Easterbrook-Clarke, L. H. New Zealand Active Faults Database: the high-resolution dataset v2.0. New Zealand Journal of Geology and Geophysics, ahead-of-print(ahead-of-print):1–16, 2024. doi: 10.1080/00288306.2024.2427396. DOI: https://doi.org/10.1080/00288306.2024.2427396
Murru, M., Montuori, C., Wyss, M., and Privitera, E. The locations of magma chambers at Mt. Etna, Italy, mapped by b-values. Geophysical research letters, 26(16):2553–2556, 1999. doi: 10.1029/1999gl900568. DOI: https://doi.org/10.1029/1999GL900568
Murru, M., Console, R., Falcone, G., Montuori, C., and Sgroi, T. Spatial mapping of the b value at Mount Etna, Italy, using earthquake data recorded from 1999 to 2005. Journal of Geophysical Research: Solid Earth, 112(B12):n/a–n/a, 2007. doi: 10.1029/2006JB004791. DOI: https://doi.org/10.1029/2006JB004791
Ogata, Y. Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes. Research Memo. (Technical report) Inst. Statist. Math., Tokyo, 288, 1985.
Ogata, Y. Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes. J. Amer. Statist. Assoc, 83:9 – 27, 1988. doi: 10.1080/01621459.1988.10478560. DOI: https://doi.org/10.1080/01621459.1988.10478560
Ogata, Y. A Monte Carlo method for high dimensional integration. Numerische Mathematik, 55(2):137–157, 1989. doi: 10.1007/BF01406511. DOI: https://doi.org/10.1007/BF01406511
Ogata, Y. Space-time point-process models for earthquake occurrences. Annals of the Institute of Statistical Mathematics, 50:379–402, 1998. doi: 10.1023/a:1003403601725. DOI: https://doi.org/10.1023/A:1003403601725
Omori, F. On the after-shocks of earthquakes. J. Coll. Sci. Imp. Univ. Tokyo, 7:111–200, 1894.
Oynakov, E., Aleksandrova, I., and Popova, M. Characteristics of the 2025 Santorini-Amorgos seismic swarm. Geofizika, 42(2):1–18, 2025. doi: 10.15233/gfz.2025.42.6. DOI: https://doi.org/10.15233/gfz.2025.42.6
Papadopoulos, G. A., Charalampakis, M., Fokaefs, A., and Minadakis, G. Strong foreshock signal preceding the L’Aquila (Italy) earthquake (Mw 6.3) of 6 April 2009. Natural Hazards and Earth System Science, 10(1):19–24, 2010. doi: 10.5194/nhess-10-19-2010. DOI: https://doi.org/10.5194/nhess-10-19-2010
Papale, P. Global time-size distribution of volcanic eruptions on Earth. Scientific reports, 8(1):6838, 2018. doi: 10.1038/s41598-018-25286-y. DOI: https://doi.org/10.1038/s41598-018-25286-y
Petrillo, G. and Lippiello, E. Testing of the foreshock hypothesis within an epidemic like description of seismicity. Geophysical Journal International, 225(2):1236–1257, 2021. doi: 10.1093/gji/ggaa611. DOI: https://doi.org/10.1093/gji/ggaa611
Petrillo, G. and Lippiello, E. Incorporating foreshocks in an epidemic-like description of seismic occurrence in Italy. Applied Sciences, 13(8): 4891, 2023. doi: 10.3390/app13084891. DOI: https://doi.org/10.3390/app13084891
Petrillo, G. and Taroni, M. Adding strain rate information into a short-term seismicity model improves forecasting performances: the case of Campi Flegrei, Italy. Seismica, 4(2), 2025. doi: 10.26443/seismica.v4i2.1908. DOI: https://doi.org/10.26443/seismica.v4i2.1908
Petrillo, G. and Zhuang, J. Bayesian earthquake forecasting approach based on the epidemic type aftershock sequence model. Earth, Planets and Space, 76(1):78, 2024. doi: 10.1186/s40623-024-02021-8. DOI: https://doi.org/10.1186/s40623-024-02021-8
Petrillo, G., Landes, F., Lippiello, E., and Rosso, A. The influence of the brittle-ductile transition zone on aftershock and foreshock occur-rence. Nature Communications, 11:1–10, 2020. doi: 10.1038/s41467-020-16811-7. DOI: https://doi.org/10.1038/s41467-020-16811-7
Petrillo, G., Kumazawa, T., Napolitano, F., Capuano, P., and Zhuang, J. Fluids-triggered swarm sequence supported by a nonstationary epidemic-like description of seismicity. Seismological Research Letters, 95(6):3207–3220, 2024a. doi: 10.1785/0220240056. DOI: https://doi.org/10.1785/0220240056
Petrillo, G., Lippiello, E., and Zhuang, J. Including stress relaxation in point-process model for seismic occurrence. Geophysical Journal International, 236(3):1332–1341, 2024b. doi: 10.1093/gji/ggad482. DOI: https://doi.org/10.1093/gji/ggad482
Pino, N. A., Convertito, V., Godano, C., and Piromallo, C. Subduction age and stress state control on seismicity in the NW Pacific subducting plate. Sci. Rep, 12(1):12440, 2022. doi: 10.1038/s41598-022-16076-8. DOI: https://doi.org/10.1038/s41598-022-16076-8
Pure, L. R., Leonard, G. S., Townsend, D. B., Wilson, C. J., Calvert, A. T., Cole, R. P., Conway, C. E., Gamble, J. A., and Bubs’Smith, T. A high resolution 40Ar/39Ar lava chronology and edifice construction history for Tongariro volcano, New Zealand. Journal of Volcanology and Geothermal Research, 403:106993, 2020. doi: 10.1016/j.jvolgeores.2020.106993. DOI: https://doi.org/10.1016/j.jvolgeores.2020.106993
Rodríguez-Pérez, Q., Monterrubio-Velasco, M., Zú niga, F. R., Valdés-González, C. M., and Arámbula-Mendoza, R. Spatial and temporal b-value characterization at Popocatépetl volcano, Central Mexico. Journal of Volcanology and Geothermal Research, 417:107320, 2021. doi: 10.1016/j.jvolgeores.2021.107320. DOI: https://doi.org/10.1016/j.jvolgeores.2021.107320
Sanchez, J. J., McNutt, S. R., Power, J., and Wyss, M. Spatial variations in the frequency-magnitude distribution of earthquakes at Mount Pinatubo Volcano. Bulletin of the Seismological Society of America, 94(2):430–438, 2004. doi: 10.1785/0120020244. DOI: https://doi.org/10.1785/0120020244
Scholz, C. The frequency-magnitude relation of microfracturing in rock and its relation to earthquakes. Bull. seism. Soc. Am, 58:399–415, 1968. doi: 10.1785/bssa0580010399. DOI: https://doi.org/10.1785/BSSA0580010399
Shane, P. and Smith, V. C. Using amphibole crystals to reconstruct magma storage temperatures and pressures for the post-caldera collapse volcanism at Okataina volcano. Lithos, 156:159–170, 2013. doi: 10.1016/j.lithos.2012.11.008. DOI: https://doi.org/10.1016/j.lithos.2012.11.008
Shi, Y. and Bolt, B. A. The standard error of the magnitude-frequency b value. Bulletin of the Seismological Society of America, 72(5): 1677–1687, 1982. doi: 10.1785/bssa0720051677. DOI: https://doi.org/10.1785/BSSA0720051677
Silva, R., Ferreira, T., Medeiros, A., Carmo, R., Luis, R., Wallenstein, N., Bean, C., and Sousa, R. Chapter 17 Seismic activity on S ao Miguel Island volcano-tectonic structures (Azores archipelago). Geological Society, London, Memoirs, 44(1):227–238, 2015. doi: 10.1144/m44.17. DOI: https://doi.org/10.1144/M44.17
Taroni, M., Zhuang, J., and Marzocchi, W. High-Definition Mapping of the Gutenberg–Richter b-Value and Its Relevance: A Case Study in Italy. Seismological Research Letters, XX:1–7, 2021. doi: 10.1785/0220210017. DOI: https://doi.org/10.1785/0220210017
Taroni, M., Petrillo, G., and Lippiello, E. Earthquake Size Distributions of Strong Worldwide Seismicity Are Similar for Background and Triggered Events. Seismological Research Letters, 2025. doi: 10.1785/0220240481. DOI: https://doi.org/10.1785/0220240481
Toda, S., Stein, R. S., and Sagiya, T. Evidence from the AD 2000 Izu islands earthquake swarm that stressing rate governs seismicity. Nature, 419(6902):58–61, 2002. doi: 10.1038/nature00997. DOI: https://doi.org/10.1038/nature00997
Tormann, T., Wiemer, S., and Mignan, A. Systematic survey of high-resolution b value imaging along Californian faults: Inference on asper-ities. Journal of Geophysical Research: Solid Earth, 119(3):2029–2054, 2014. doi: 10.1002/2013JB010867. DOI: https://doi.org/10.1002/2013JB010867
Tramelli, A., Godano, C., Ricciolino, P., Giudicepietro, F., Caliro, S., Orazi, M., De Martino, P., and Chiodini, G. Statistics of seismicity to investigate the Campi Flegrei caldera unrest. Scientific reports, 11(1):7211, 2021. doi: 10.1038/s41598-021-86506-6. DOI: https://doi.org/10.1038/s41598-021-86506-6
Triantafyllou, I., Papadopoulos, G. A., Siettos, C., and Spiliotis, K. Real-time foreshock–aftershock–swarm discrimination during the 2025 seismic crisis near Santorini Volcano, Greece: earthquake statistics and complex networks. Geosciences, 15(8):300, 2025. doi: 10.3390/geosciences15080300. DOI: https://doi.org/10.3390/geosciences15080300
Utsu, T., Ogata, Y., S, R., and Matsu’ura. The Centenary of the Omori Formula for a Decay Law of Aftershock Activity. Journal of Physics of the Earth, 43(1):1–33, 1995. doi: 10.4294/jpe1952.43.1. DOI: https://doi.org/10.4294/jpe1952.43.1
van der Elst, N. J. B-positive: A robust estimator of aftershock magnitude distribution in transiently incomplete catalogs. Journal of Geo-physical Research: Solid Earth, 126(2):e2020JB021027, 2021a. doi: 10.1029/2020jb021027.
van der Elst, N. J. B-positive: A robust estimator of aftershock magnitude distribution in transiently incomplete catalogs. Journal of Geo-physical Research: Solid Earth, 126(2):e2020JB021027, 2021b. doi: 10.1029/2020jb021027. DOI: https://doi.org/10.1029/2020JB021027
Wang, Q., Jackson, D. D., and Zhuang, J. Are spontaneous earthquakes stationary in California? Journal of Geophysical Research: Solid Earth, 115(B8), 2010. doi: 10.1029/2009jb007031. DOI: https://doi.org/10.1029/2009JB007031
Westerhaus, M., Wyss, M., Yilmaz, R., and Zschau, J. Correlating variations of b values and crustal deformations during the 1990s may have pinpointed the rupture initiation of the Mw = 7.4 Izmit earthquake of 1999 August 17. Geophysical Journal International, 148(1):139–152, 2002. doi: 10.1046/j.0956-540x.2001.01554.x. DOI: https://doi.org/10.1046/j.0956-540x.2001.01554.x
Wiemer, S. and McNutt, S. R. Variations in the frequency-magnitude distribution with depth in two volcanic areas: Mount St. Helens, Washington, and Mt. Spurr, Alaska. Geophysical research letters, 24(2):189–192, 1997. doi: 10.1029/96gl03779. DOI: https://doi.org/10.1029/96GL03779
Wiemer, S. and Wyss, M. Mapping the frequency-magnitude distribution in asperities:An improved technique to calculate recurrence times? J. Geophys. Res, 102:15,115–15,128, 1997. doi: 10.1029/97jb00726. DOI: https://doi.org/10.1029/97JB00726
Wiemer, S. and Wyss, M. Mapping spatial variability of the frequency-magnitude distribution of earthquakes. Adv. Geophys, 45:259–302, 2002. doi: 10.1016/s0065-2687(02)80007-3. DOI: https://doi.org/10.1016/S0065-2687(02)80007-3
Wiemer, S., McNutt, S. R., and Wyss, M. Temporal and three-dimensional spatial analyses of the frequency–magnitude distribution near Long Valley Caldera, California. Geophysical Journal International, 134(2):409–421, 1998. doi: 10.1046/j.1365-246x.1998.00561.x. DOI: https://doi.org/10.1046/j.1365-246x.1998.00561.x
Wyss, M. Towards a Physical Understanding of the Earthquake Frequency Distribution. Geophysical Journal of the Royal Astronomical Society, 31(4):341–359, 1973. doi: 10.1111/j.1365-246X.1973.tb06506.x. DOI: https://doi.org/10.1111/j.1365-246X.1973.tb06506.x
Xiong, Z. and Zhuang, J. SETAS: A spherical version of the space–time ETAS model. Seismological Society of America, 94(3):1676–1688, 2023. doi: 10.1785/0220220198. DOI: https://doi.org/10.1785/0220220198
Zaccagnino, D., Michas, G., Telesca, L., and Vallianatos, F. Precursory patterns, evolution and physical interpretation of the 2025 Santorini-Amorgos seismic sequence. Earth and Planetary Science Letters, 671:119656, 2025. doi: 10.1016/j.epsl.2025.119656. DOI: https://doi.org/10.1016/j.epsl.2025.119656
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