Abstract
Seismic catalogs are vital to understanding and analyzing the progress of active fault systems. The background seismicity rate in a seismic catalog, strongly associated with stressing rate, is the critical parameter in seismic hazard analysis. Estimating background seismicity is a complex task due to the high correlation with aftershock sequences which may dominate the background seismicity rate. In this paper, identification of the significant earthquake aftershocks and independent background events is performed using a two-stage clustering approach. It works in two phases: Self-Organized Map and Density-based Temporal Clustering. The event’s location and depth information in the earthquake catalog is used to identify the major hot spots (SOM prototypes) in the region (Spatial domain). Later, density-based temporal clustering is applied to decipher the neighborhood events of each SOM prototype. The proposed two-level clustering approach performs effective spatio-temporal analysis and identifies the aftershock clusters and background. The experimental study is carried out on the prominent earthquake catalogs of Taiwan, Afghanistan, California, the Himalayas, Indonesia, Chile, and Japan. The statistical parameters: Coefficient of Variation (time-domain) and m-Morisita index (spatial domain) justify and validate the accuracy of the presented approach. The proposed model is compared with benchmark de-clustering algorithms for mainshock and background detection.

















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The datasets (seismic catalogs) analysed during the current study are available at the official website of United State Geological Survey [https://earthquake.usgs.gov/earthquakes/search/].
References
Ben-Zion Y (2008) Collective behavior of earthquakes and faults: continuum-discrete transitions, progressive evolutionary changes, and different dynamic regimes. Rev Geophys 46:RG4006. https://doi.org/10.1029/2008RG000260
Kisslinger C (1996) Aftershocks and fault-zone properties. Adv Geophys 38:1–36
Utsu T, Ogata Y et al (1995) The centenary of the Omori formula for a decay law of aftershock activity. J Phys Earth 43(1):1–33
Shcherbakov R, Turcotte DL, Rundle JB (2005) Aftershock statistics. Pure Appl Geophy 162(6):1051–1076
Ellsworth W (2019) From foreshocks to mainshocks: mechanisms and implications for earthquake nucleation and rupture propagation. Mech Earthq Faulting 202:95
Ellsworth WL, Giardini D, Townend J, Ge S, Shimamoto T (2019) Triggering of the Pohang, Korea, earthquake (mw 5.5) by enhanced geothermal system stimulation. Seismol Res Lett 90(5):1844–1858
Seif S, Zechar JD, Mignan A, Nandan S, Wiemer S (2019) Foreshocks and their potential deviation from general seismicityforeshocks and their potential deviation from general seismicity. Bull Seismol Soc Am 109(1):1–18
Gardner J, Knopoff L (1974) Is the sequence of earthquakes in southern California, with aftershocks removed, poissonian? Bull Seismol Soc Am 64(5):1363–1367
Ellsworth WL, Llenos AL, McGarr AF, Michael AJ, Rubinstein JL, Mueller CS, Petersen MD, Calais E (2015) Increasing seismicity in the us midcontinent: implications for earthquake hazard. Lead Edge 34(6):618–626
Hammond W, Kreemer C, Zaliapin I, Blewitt G (2019) Drought-triggered magmatic inflation, crustal strain, and seismicity near the long valley caldera, central walker lane. J Geophys Res Solid Earth 124(6):6072–6091
Johnson CW, Fu Y, Burgmann R (2017) Stress models of the annual hydrospheric, atmospheric, thermal, and tidal loading cycles on California faults: Perturbation of background stress and changes in seismicity. J Geophys Res Solid Earth 122(12):10–605
Abolfathian N, Martinez-Garzn P, Ben-Zion Y (2019) Spatiotemporal variations of stress and strain parameters in the San Jacinto fault zone. Pure Appl Geophys 176(3):1145–1168
Dawood HM, Rodriguez-Marek A, Bayless J, Goulet C, Thompson E (2016) A flatfile for the KiK-net database processed using an automated protocol. Earthq Spectra 32(2):1281–1302
Schaefer A, Daniell J, Wenzel F (2016) EGU general assembly conference abstracts, pp EPSC2016–7830
Reasenberg P (1985) Second-order moment of central california seismicity, 1969–1982. J Geophys Res Solid Earth 90(B7):5479–5495
Reasenberg PA, Jones LM (1989) Earthquake hazard after a mainshock in California. Science 243(4895):1173–1176
Reasenberg P, Jones L (1994) Earthquake aftershocks: update. Science 265(5176):1251–1253
Tibi R, Blanco J, Fatehi A (2011) An alternative and efficient cluster-link approach for declustering of earthquake catalogs. Seismol Res Lett 82(4):509–518
Ogata Y (1988) Statistical models for earthquake occurrences and residual analysis for point processes. J Am Stat Assoc 83(401):9–27
Helmstetter A, Sornette D (2003) Predictability in the Epidemic-Type Aftershock Sequence model of interacting triggered seismicity. J Geophys Res 108:2482. https://doi.org/10.1029/2003JB002485
Sornette D, Werner MJ (2005) Constraints on the size of the smallest triggering earthquake from the epidemic-type aftershock sequence model, båth’s law, and observed aftershock sequences. J Geophys Res Solid Earth. https://doi.org/10.1029/2004JB003535
Turcotte DL, Holliday JR, Rundle JB (2007) BASS, an alternative to ETAS. Geophys Res Lett 34:L12303. https://doi.org/10.1029/2007GL029696
Holliday JR, Turcotte DL, Rundle JB (2008) Self-similar branching of aftershock sequences. Phys A Stat Mech Appl 387(4):933–943
Nanda SJ, Tiampo KF, Panda G, Mansinha L, Cho N, Mignan A (2013) A tri-stage cluster identification model for accurate analysis of seismic catalogs. Nonlinear Process Geophys 20(1):143–162
Vijay RK, Nanda SJ (2017) Tetra-stage cluster identification model to analyse the seismic activities of Japan, Himalaya and Taiwan. IET Sig Process 12(1):95–103
Zhuang J, Ogata Y, Vere-Jones D (2002) Stochastic declustering of space-time earthquake occurrences. J Am Stat Assoc 97(458):369–380
Zaliapin I, Gabrielov A, Keilis-Borok V, Wong H (2008) Clustering analysis of seismicity and aftershock identification. Phys Rev Lett 101(1):018501
Bottiglieri M, Lippiello E, Godano C, de Arcangelis L (2009) Identification and spatiotemporal organization of aftershocks. J Geophys Res 114:B03303. https://doi.org/10.1029/2008JB005941
Batac R, Kantz H (2014) Observing spatio-temporal clustering and separation using interevent distributions of regional earthquakes. Nonlinear Process Geophys 21(4):735–744
Cho N, Tiampo KF, Bhattacharya PK, Shcherbakov R, Chen C, Li H, Klein W (2010) Declustering seismicity using the Thirumalai-Mountain metric. 4400 NONLINEAR GEOPHYSICS 2010:NG51A-1195
Davidsen J, Gu C, Baiesi M (2015) Generalized Omori–Utsu law for aftershock sequences in southern California. Geophys J Int 201(2):965–978
Weatherill G, Burton PW (2009) Delineation of shallow seismic source zones using k-means cluster analysis, with application to the Aegean region. Geophys J Int 176(2):565–588
Zheng YJ, Ling HF, Chen SY, Xue JY (2014) A hybrid neuro-fuzzy network based on differential biogeography-based optimization for online population classification in earthquakes. IEEE Trans Fuzzy Syst 23(4):1070–1083
Zaliapin I, Ben-Zion Y (2016) A global classification and characterization of earthquake clusters. Geophys J Int 207(1):608–634
Nanda SJ, Pradhan PM, Panda G, Mansinha L, Tiampo KF (2013) A correlation based stochastic partitional algorithm for accurate cluster analysis. Int J Sig Imaging Syst Eng 6(1):52–58
Morales-Esteban A, Martinez-Alvarez F, Scitovski S, Scitovski R (2014) A fast partitioning algorithm using adaptive Mahalanobis clustering with application to seismic zoning. Comput Geosci 73:132–141
Nanda SJ, Panda G (2014) A survey on nature inspired metaheuristic algorithms for partitional clustering. Swarm Evolut Comput 16:1–18
Cho N, Tiampo KF, Mckinnon S, Vallejos J, Klein W, Dominguez R (2010) A simple metric to quantify seismicity clustering. Nonlinear Process Geophys 17(4):293
Vijay RK, Nanda SJ (2019) A quantum grey wolf optimizer based declustering model for analysis of earthquake catalogs in an ergodic framework. J Comput Sci 36:101019
Ester M, Kriegel H.P, Sander J, Xu X (1996) In: Proceedings of the second international conference on knowledge discovery and data mining. AAAI Press, KDD’96, pp 226–231
Birant D, Kut A (2007) ST-DBSCAN: an algorithm for clustering spatial-temporal data. Data Knowl Eng 60(1):208–221
Georgoulas G, Konstantaras A, Katsifarakis E, Stylios CD, Maravelakis E, Vachtseos GJ (2013) Seismic-mass density-based algorithm for spatio-temporal clustering. Expert Syst Appl 40(10):4183–4189
Nanda SJ, Panda G (2015) Design of computationally efficient density-based clustering algorithms. Data Knowl Eng 95:23–38
Scitovski S (2018) A density based clustering algorithm for earthquake zoning. Comput Geosci 110:90–95
Schaefer AM, Daniell JE, Wenzel F (2017) The smart cluster method. J Seismol 21(4):965–985
Cesca S (2020) Seiscloud, a tool for density-based seismicity clustering and visualization. J Seismol 24(3):443–457
Tanzim SM, Yeasmin S, Hussain MA, Tamal TR, Hasan R, Rahman T, Rahman RM (2018) In: Computer science on-line conference. Springer, pp 364–373
Kohonen T (1990) The self-organizing map. Proc IEEE 78(9):1464–1480
Oettli P, Tozuka T, Izumo T, Engelbrecht FA, Yamagata T (2014) The self-organizing map, a new approach to apprehend the Madden–Julian oscillation influence on the intraseasonal variability of rainfall in the southern African region. Clim Dyn 43(5–6):1557–1573
Huang F, Yin K, Huang J, Gui L, Wang P (2017) Landslide susceptibility mapping based on self-organizing-map network and extreme learning machine. Eng Geol 223:11–22
Lopes-Mazzetto JM, Schellekens J, Vidal-Torrado P, Buurman P (2018) Impact of drainage and soil hydrology on sources and degradation of organic matter in tropical coastal podzols. Geoderma 330:79–90
Roige M, McGeoch MA, Hui C, Worner SP, Kurle C et al (2017) Cluster validity and uncertainty assessment for self-organizing map pest profile analysis. Methods Ecol Evolut 8(3):349–357
Du H-k, Cao J-x, Xue Y-j, Wang X-j, (2015) Seismic facies analysis based on self-organizing map and empirical mode decomposition. J Appl Geophys 112:52–61
Allamehzadeh M, Durudi S, Mahshadnia L (2017) Pattern recognition of seismogenic nodes using Kohonen self-organizing map: example in west and south west of Alborz region in Iran. Earthq Sci 30(3):145–155
Yaghmaei-Sabegh S (2017) A novel approach for classification of earthquake ground-motion records. J Seismol 21(4):885–907
Rehman K, Burton PW, Weatherill GA (2014) K-means cluster analysis and seismicity partitioning for Pakistan. J Seismol 18(3):401–419
Konstantaras A, Katsifarakis E, Maravelakis E, Skounakis E, Kokkinos E, Karapidakis E (2012) Intelligent spatial-clustering of seismicity in the vicinity of the hellenic seismic arc. Earth Sci Res 1(2):1
Uhrhammer R (1986) Characteristics of northern and central California seismicity. Earthquake Notes 57(1):21
Van Stiphout T, Zhuang J, Marsan D (2012) Seismicity declustering, community online resource for statistical seismicity analysis. https://doi.org/10.5078/corssa-52382934
Rydelek PA, Sacks IS (1989) Testing the completeness of earthquake catalogues and the hypothesis of self-similarity. Nature 337(6204):251–253
Zuniga FR, Wyss M (1995) Inadvertent changes in magnitude reported in earthquake catalogs: their evaluation through b-value estimates. Bull Seismol Soc Am 85(6):1858–1866
Gutenberg B, Richter CF (1944) Frequency of earthquakes in California. Bull Seismol Soc Am 34(4):185–188. https://doi.org/10.1785/BSSA0340040185
Wiemer S, Wyss M (2000) Minimum magnitude of completeness in earthquake catalogs: examples from Alaska, the Western United States, and Japan. Bull Seismol Soc Am 90(4):859–869
Mignan A, Woessner J (2012) Estimating the magnitude of completeness for earthquake catalogs. Community online resource for statistical seismicity analysis, pp. 1–45
Zamani A, Nedaei M, Boostani R (2009) Tectonic zoning of Iran based on selforganizing map. J Appl Sci 9(23):4099–4114
Kohonen T, Oja E, Simula O, Visa A, Kangas J (1996) Engineering applications of the self-organizing map. Proc IEEE 84(10):1358–1384
Kagan Y, Knopoff L (1980) Spatial distribution of earthquakes: the two-point correlation function. Geophys J Int 62(2):303–320
Polani D (2002) Self-organizing neural networks. Springer, pp 13–44
U.S. Geological Survey. Earthquake lists, maps, and statistic. https://earthquake.usgs.gov/earthquakes/search/
Vijay RK, Nanda SJ (2019) Shared nearest neighborhood intensity based declustering model for analysis of spatio-temporal seismicity. IEEE J Sel Top Appl Earth Obs Remote Sens 12(5):1619–1627
Golay J, Kanevski M, Orozco CDV, Leuenberger M (2014) The multipoint Morisita index for the analysis of spatial patterns. Phys A Stat Mech Appl 406:191–202
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This research work is funded by Ministry of Electronics and Information and IT under Visvesvaraya PhD Scheme with Grant Number-1000110674 and unique awardee number MEITY-PHD-2952.
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Sharma, A., Vijay, R.K. & Nanda, S.J. Identification and spatio-temporal analysis of earthquake clusters using SOM–DBSCAN model. Neural Comput & Applic 35, 8081–8108 (2023). https://doi.org/10.1007/s00521-022-08085-5
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DOI: https://doi.org/10.1007/s00521-022-08085-5