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2011 | OriginalPaper | Chapter

Earthquake Clusters over Multi-dimensional Space, Visualization of

Authors : David A. Yuen, Witold Dzwinel, Yehuda Ben-Zion, Ben Kadlec

Published in: Extreme Environmental Events

Publisher: Springer New York

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Article Outline

Glossary
Definition of the Subject
Introduction
Earthquakes Clustering
Multidimensional Feature Space
The Detection and Visualization of Clusters in Multi-Dimensional Feature Space
Description of the Data
Earthquake Visualization by Using Clustering in Feature Space
Remote Problem Solving Environment (PSE) for Analyzing Earthquake Clusters
Future Directions
Acknowledgments
Bibliography

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Literature
2.
go back to reference Andenberg MR (1973) Clusters analysis for applications. Academic Press, New York Andenberg MR (1973) Clusters analysis for applications. Academic Press, New York
3.
go back to reference Bak P, Tang C (1989) Earthquakes as a self‐organized critical phenomena. J Geophys Res 94(B11):15635–15637CrossRef Bak P, Tang C (1989) Earthquakes as a self‐organized critical phenomena. J Geophys Res 94(B11):15635–15637CrossRef
4.
go back to reference Bak P, Christensen K, Danon L, Scanlon T (2002) Unified scaling law for earthquakes. Phys Rev Lett 88:178501CrossRef Bak P, Christensen K, Danon L, Scanlon T (2002) Unified scaling law for earthquakes. Phys Rev Lett 88:178501CrossRef
5.
go back to reference Barabasi AL, Jeong H, Neda Z, Ravasz E, Schubert A, Vicsek T (2002) Evolution of the social network of scientific collaborations. Physica A 311(3–4):590–614CrossRef Barabasi AL, Jeong H, Neda Z, Ravasz E, Schubert A, Vicsek T (2002) Evolution of the social network of scientific collaborations. Physica A 311(3–4):590–614CrossRef
6.
go back to reference Bennett AF (1992) Inverse methods in physical oceanography. Cambridge University Press, Cambridge, pp 346 Bennett AF (1992) Inverse methods in physical oceanography. Cambridge University Press, Cambridge, pp 346
7.
go back to reference Ben-Zion Y (1996) Stress, slip and earthquakes in models of complex single‐fault systems incorporating brittle and creep deformations, J Geophys Res 101:5677–5706CrossRef Ben-Zion Y (1996) Stress, slip and earthquakes in models of complex single‐fault systems incorporating brittle and creep deformations, J Geophys Res 101:5677–5706CrossRef
8.
go back to reference Ben-Zion Y (2001) Dynamic rupture in recent models of earthquake faults. J Mech Phys Solids 49:2209–2244CrossRef Ben-Zion Y (2001) Dynamic rupture in recent models of earthquake faults. J Mech Phys Solids 49:2209–2244CrossRef
9.
go back to reference Ben-Zion Y (2003) Appendix 2, key formulas in earthquake seismology. In: Lee WHK, Kanamori H, Jennings PC, Kisslinger C (eds) International handbook of earthquake and engineering seismology, Part B. Academic Press, pp 1857–1875 Ben-Zion Y (2003) Appendix 2, key formulas in earthquake seismology. In: Lee WHK, Kanamori H, Jennings PC, Kisslinger C (eds) International handbook of earthquake and engineering seismology, Part B. Academic Press, pp 1857–1875
10.
go back to reference Ben-Zion Y, Rice JR (1993) Earthquake failure sequences along a cellular fault zone in a three‐dimensional elastic solid containing asperity and nonasperity regions. J Geophys Res 98:14109–14131CrossRef Ben-Zion Y, Rice JR (1993) Earthquake failure sequences along a cellular fault zone in a three‐dimensional elastic solid containing asperity and nonasperity regions. J Geophys Res 98:14109–14131CrossRef
11.
go back to reference Ben-Zion Y, Rice JR (1995) Slip patterns and earthquake populations along different classes of faults in elastic solids. J Geophys Res 100:12959–12983CrossRef Ben-Zion Y, Rice JR (1995) Slip patterns and earthquake populations along different classes of faults in elastic solids. J Geophys Res 100:12959–12983CrossRef
12.
go back to reference Ben-Zion Y, Eneva M, Liu Y (2003) Large earthquake cycles and intermittent criticallity on heterogeneous faults due to evolving stress and seismicity. J Geophys Res 108(B6):2307–27 Ben-Zion Y, Eneva M, Liu Y (2003) Large earthquake cycles and intermittent criticallity on heterogeneous faults due to evolving stress and seismicity. J Geophys Res 108(B6):2307–27
13.
go back to reference Berman F, Fox GC, Hey AJG (2003) Grid computing – making the global infrastructure a reality. Wiley Series in Communications Networking and Distributed Systems, pp 1007 Berman F, Fox GC, Hey AJG (2003) Grid computing – making the global infrastructure a reality. Wiley Series in Communications Networking and Distributed Systems, pp 1007
14.
go back to reference Boatwright J, Choy GL (1986) Teleseismic estimates of the energy radiated by shallow earthquakes. J Geophys Res 91:2095–2112CrossRef Boatwright J, Choy GL (1986) Teleseismic estimates of the energy radiated by shallow earthquakes. J Geophys Res 91:2095–2112CrossRef
15.
go back to reference Bollig EF, Jensen PA, Lyness MD, Nacar MA, da Silveira PR, Erlebacher G, Pierce M, Yuen DA (2007) VLAB: Web services, portlets, and workflows for enabling cyber infrastructure in computational mineral physics. J Phys Earth Planet Inter 163:333–346CrossRef Bollig EF, Jensen PA, Lyness MD, Nacar MA, da Silveira PR, Erlebacher G, Pierce M, Yuen DA (2007) VLAB: Web services, portlets, and workflows for enabling cyber infrastructure in computational mineral physics. J Phys Earth Planet Inter 163:333–346CrossRef
16.
go back to reference Chen C-C, Rundle JB, Li H-C, Holliday JR, Turcotte DL, Tiampo KF (2006) Critical point theory of earthquakes: Observations of correlated and cooperative behavior on earthquake fault systems. Geophys Res Lett L18302 Chen C-C, Rundle JB, Li H-C, Holliday JR, Turcotte DL, Tiampo KF (2006) Critical point theory of earthquakes: Observations of correlated and cooperative behavior on earthquake fault systems. Geophys Res Lett L18302
17.
go back to reference Chinnery M (1963) The stress changes that accompany strike‐slip faulting. Bull Seismol Soc Am 53:921–932 Chinnery M (1963) The stress changes that accompany strike‐slip faulting. Bull Seismol Soc Am 53:921–932
18.
go back to reference Corral A (2005) Mixing of rescaled data and Bayesian inference for earthquake recurrence times. Nonlinear Process Geophys 12:89–100CrossRef Corral A (2005) Mixing of rescaled data and Bayesian inference for earthquake recurrence times. Nonlinear Process Geophys 12:89–100CrossRef
19.
go back to reference Corral A (2005) Renormalization‐group transformations and correlations of seismicity. Phys Rev Lett 95:028501CrossRef Corral A (2005) Renormalization‐group transformations and correlations of seismicity. Phys Rev Lett 95:028501CrossRef
20.
go back to reference Corral A, Christensen K (2006) Comment on earthquakes descaled: On waiting time distributions and scaling laws. Phys Rev Lett 96:109801CrossRef Corral A, Christensen K (2006) Comment on earthquakes descaled: On waiting time distributions and scaling laws. Phys Rev Lett 96:109801CrossRef
21.
go back to reference da Silva CRS, da Silveira PRC, Karki B, Wentzcovitch RM, Jensen PA, Bollig EF, Pierce M, Erlebacher G, Yuen DA (2007) Virtual laboratory for planetary materials: System service architecture overview. Phys Earth Planet Inter 163:323–332 da Silva CRS, da Silveira PRC, Karki B, Wentzcovitch RM, Jensen PA, Bollig EF, Pierce M, Erlebacher G, Yuen DA (2007) Virtual laboratory for planetary materials: System service architecture overview. Phys Earth Planet Inter 163:323–332
22.
go back to reference Davy P, Sornette A, Sornette D (1990) Some consequences of a proposed fractal nature of continental faulting. Nature 348:56–58CrossRef Davy P, Sornette A, Sornette D (1990) Some consequences of a proposed fractal nature of continental faulting. Nature 348:56–58CrossRef
23.
go back to reference Dzwinel W, Blasiak J (1999) Method of particles in visual clustering of multi‐dimensional and large data sets. Future Gener Comput Syst 15:365–379CrossRef Dzwinel W, Blasiak J (1999) Method of particles in visual clustering of multi‐dimensional and large data sets. Future Gener Comput Syst 15:365–379CrossRef
24.
go back to reference Dzwinel W, Yuen DA, Kaneko Y, Boryczko K, Ben-Zion Y (2003) Multi‐resolution clustering analysis and 3-D visualization of multitudinous synthetic earthquakes. Vis Geosci 8:12–25 Dzwinel W, Yuen DA, Kaneko Y, Boryczko K, Ben-Zion Y (2003) Multi‐resolution clustering analysis and 3-D visualization of multitudinous synthetic earthquakes. Vis Geosci 8:12–25
25.
go back to reference Dzwinel W, Yuen DA, Boryczko K, Ben-Zion Y, Yoshioka S, Ito T (2005) Nonlinear multidimensional scaling and visualization of earthquake clusters over space, time and feature space. Nonlinear Process Geophys 12:117–128CrossRef Dzwinel W, Yuen DA, Boryczko K, Ben-Zion Y, Yoshioka S, Ito T (2005) Nonlinear multidimensional scaling and visualization of earthquake clusters over space, time and feature space. Nonlinear Process Geophys 12:117–128CrossRef
26.
go back to reference Eisen MB, Spellman PT, Brown PO, Botstein D (1998) Cluster analysis and display of genome‐wide expression patterns. Proc Natl Acad Sci USA 95:14863–14868CrossRef Eisen MB, Spellman PT, Brown PO, Botstein D (1998) Cluster analysis and display of genome‐wide expression patterns. Proc Natl Acad Sci USA 95:14863–14868CrossRef
27.
go back to reference Enescu B, Ito K, Struzik ZR (2006) Wavelet‐based multiscale analysis of real and simulated time‐series of earthquakes. Geophys J Int 164:63–74CrossRef Enescu B, Ito K, Struzik ZR (2006) Wavelet‐based multiscale analysis of real and simulated time‐series of earthquakes. Geophys J Int 164:63–74CrossRef
28.
go back to reference Eneva M, Ben-Zion Y (1997) Techniques and parameters to analyze seismicity patterns associated with large earthquakes. J Geophys Res 102(B8):785–795CrossRef Eneva M, Ben-Zion Y (1997) Techniques and parameters to analyze seismicity patterns associated with large earthquakes. J Geophys Res 102(B8):785–795CrossRef
29.
go back to reference Eneva M, Ben-Zion Y (1997) Application of pattern recognition techniques to earthquake catalogs generated by models of segmented fault systems in three‐dimensional elastic solids. J Geophys Res 102:24513–24528CrossRef Eneva M, Ben-Zion Y (1997) Application of pattern recognition techniques to earthquake catalogs generated by models of segmented fault systems in three‐dimensional elastic solids. J Geophys Res 102:24513–24528CrossRef
31.
go back to reference Foster I, Kesselman C (eds) (1998) Building a computational grid: state-of-the art and future directions in high‐performance distributed computing. Morgan‐Kaufmann, San Francisco Foster I, Kesselman C (eds) (1998) Building a computational grid: state-of-the art and future directions in high‐performance distributed computing. Morgan‐Kaufmann, San Francisco
32.
go back to reference Freed AM, Lin J (2001) Delayed triggering of the 1999 Hector Mine earthquake by viscoelastic stress transfer. Nature 411:180–183CrossRef Freed AM, Lin J (2001) Delayed triggering of the 1999 Hector Mine earthquake by viscoelastic stress transfer. Nature 411:180–183CrossRef
33.
go back to reference Frey BJ, Dueck D (2007) Clustering by Passing Messages Between Data Points, Science 315(5814):972–976CrossRef Frey BJ, Dueck D (2007) Clustering by Passing Messages Between Data Points, Science 315(5814):972–976CrossRef
34.
go back to reference Garbow ZA, Erlebacher G, Yuen DA, Sevre EO, Nagle AR, Kaneko Y (2002) Web-based interrogation of large-scale geophysical datasets and clustering analysis of many earthquake events from desktop and handheld devices. American Geophysical Union Fall Meeting, Abstract Garbow ZA, Erlebacher G, Yuen DA, Sevre EO, Nagle AR, Kaneko Y (2002) Web-based interrogation of large-scale geophysical datasets and clustering analysis of many earthquake events from desktop and handheld devices. American Geophysical Union Fall Meeting, Abstract
35.
go back to reference Goltz C (1997) Fractal and chaotic properties of earthquakes. In: Goltz C (ed) Lecture notes in earth sciences, vol. 77. Springer, Berlin, p 3–164 Goltz C (1997) Fractal and chaotic properties of earthquakes. In: Goltz C (ed) Lecture notes in earth sciences, vol. 77. Springer, Berlin, p 3–164
36.
go back to reference Gowda CK, Krishna G (1978) Agglomerative clustering using the concept of nearest neighborhood. Pattern Recognit 10:105CrossRef Gowda CK, Krishna G (1978) Agglomerative clustering using the concept of nearest neighborhood. Pattern Recognit 10:105CrossRef
37.
go back to reference Grossman RL, Karnath Ch, Kegelmeyer P, Kumar V, Namburu RR (2001) Data mining for scientific and engineering applications. Kluwer, Dordrecht Grossman RL, Karnath Ch, Kegelmeyer P, Kumar V, Namburu RR (2001) Data mining for scientific and engineering applications. Kluwer, Dordrecht
38.
go back to reference Guha S, Rastogi R, Shim K (1998) CURE: An efficient algorithm for large databases. In: Proceedings of SIGMOD '98, Seattle, June 1998. pp 73–84 Guha S, Rastogi R, Shim K (1998) CURE: An efficient algorithm for large databases. In: Proceedings of SIGMOD '98, Seattle, June 1998. pp 73–84
39.
go back to reference Gutenberg B (1942) Earthquake magnitude, intensity, energy and acceleration. Bull Seismol Soc Am 32:163–191 Gutenberg B (1942) Earthquake magnitude, intensity, energy and acceleration. Bull Seismol Soc Am 32:163–191
40.
go back to reference Gutenberg B, Richter CF (1954) Seismicity of the earth and associated phenomena. Princeton University Press, Princeton Gutenberg B, Richter CF (1954) Seismicity of the earth and associated phenomena. Princeton University Press, Princeton
41.
go back to reference Haile PM (1992) Molecular Dynamics Simulation. Wiley, New York Haile PM (1992) Molecular Dynamics Simulation. Wiley, New York
43.
go back to reference Hand D, Mannila H, Smyth P (2001) Principles of data mining. MIT Press, Cambridge Hand D, Mannila H, Smyth P (2001) Principles of data mining. MIT Press, Cambridge
44.
go back to reference Hastie T, Tibshirani R, Friedman J (2001) The elements of statistical learning: Data mining, inference and prediction. Springer, New York, pp 533 Hastie T, Tibshirani R, Friedman J (2001) The elements of statistical learning: Data mining, inference and prediction. Springer, New York, pp 533
45.
go back to reference Helmstetter A, Sornette D, Grasso J-R (2003) Mainshocks are aftershocks of conditional foreshocks: How do foreshock statistical properties emerge from aftershock laws. J Geophys Res 108:2046CrossRef Helmstetter A, Sornette D, Grasso J-R (2003) Mainshocks are aftershocks of conditional foreshocks: How do foreshock statistical properties emerge from aftershock laws. J Geophys Res 108:2046CrossRef
46.
go back to reference Helmstetter A, Kagan Y, Jackson D (2005) Importance of small earthquakes for stress transfers and earthquake triggering. J Geophys Res 110:B05S08CrossRef Helmstetter A, Kagan Y, Jackson D (2005) Importance of small earthquakes for stress transfers and earthquake triggering. J Geophys Res 110:B05S08CrossRef
47.
go back to reference Hong H, Kadlec DJ, Yuen DA, Zheng Y, Zhang H, Liu G, Dzwinel W (2004) Fast timescale phenomena at Changbaishan volcano as inferred from recent seismic activity. Eos Trans AGU Fall Meet. 85(47) http://www.agu.org Hong H, Kadlec DJ, Yuen DA, Zheng Y, Zhang H, Liu G, Dzwinel W (2004) Fast timescale phenomena at Changbaishan volcano as inferred from recent seismic activity. Eos Trans AGU Fall Meet. 85(47) http://​www.​agu.​org
48.
go back to reference Ismail MA, Kamel MS (1989) Multi‐dimensional data clustering utilizing hybrid search strategies. Pattern Recognit 22(1):77–89CrossRef Ismail MA, Kamel MS (1989) Multi‐dimensional data clustering utilizing hybrid search strategies. Pattern Recognit 22(1):77–89CrossRef
49.
go back to reference Ito T, Yoshioka S (2002) A dike intrusion model in and around Miyakejima, Niijima and Kozushima. Tectonophysics 359:171–187CrossRef Ito T, Yoshioka S (2002) A dike intrusion model in and around Miyakejima, Niijima and Kozushima. Tectonophysics 359:171–187CrossRef
50.
go back to reference Jajuga K, Sokolowski A, Hermann H (eds) (2002) Classification, clustering and data analysis. Springer, Berlin, pp 497 Jajuga K, Sokolowski A, Hermann H (eds) (2002) Classification, clustering and data analysis. Springer, Berlin, pp 497
51.
go back to reference Jones NC, Pevzner P (2004) An introduction to bioinformatics algorithms. MIT Press, Cambridge Jones NC, Pevzner P (2004) An introduction to bioinformatics algorithms. MIT Press, Cambridge
52.
go back to reference Kadlec BJ, Yang XL, Wang Y, Bollig EF, Garbow ZA, Yuen DA, Erlebacher G (2003) WEB-IS (Integrated System): An overall view. Eos Trans AGU 84(46), Fall Meet. Suppl., Abstract NG11A-0163 Kadlec BJ, Yang XL, Wang Y, Bollig EF, Garbow ZA, Yuen DA, Erlebacher G (2003) WEB-IS (Integrated System): An overall view. Eos Trans AGU 84(46), Fall Meet. Suppl., Abstract NG11A-0163
53.
go back to reference Kalnay E (2003) Atmospheric modeling, data assimilation and predictability. Cambridge University Press, Cambridge, pp 341 Kalnay E (2003) Atmospheric modeling, data assimilation and predictability. Cambridge University Press, Cambridge, pp 341
54.
go back to reference Karypis G, Han E, Kumar V (1999) Chameleon: A hierarchical clustering algorithms using dynamic modeling. IEEE Computer 32(8):68–75 Karypis G, Han E, Kumar V (1999) Chameleon: A hierarchical clustering algorithms using dynamic modeling. IEEE Computer 32(8):68–75
55.
go back to reference Karypis G, Aggarwal R, Kumar V, Shekhar S (1999) Multilevel hypergraph partitioning: applications in VLSI domain. IEEE Trans on Very Large Scale Systems Integration (VLSI) 7(1):69–79 Karypis G, Aggarwal R, Kumar V, Shekhar S (1999) Multilevel hypergraph partitioning: applications in VLSI domain. IEEE Trans on Very Large Scale Systems Integration (VLSI) 7(1):69–79
56.
go back to reference Mehta AP, Dahmen KA, Ben-Zion Y (2006) Universal mean moment rate profiles of earthquake ruptures. Phys Rev E 73:056104CrossRef Mehta AP, Dahmen KA, Ben-Zion Y (2006) Universal mean moment rate profiles of earthquake ruptures. Phys Rev E 73:056104CrossRef
57.
go back to reference Mitra S, Acharya T (2003) Data mining: multimedia, soft computing and bioinformatics. Wiley, New Jersey Mitra S, Acharya T (2003) Data mining: multimedia, soft computing and bioinformatics. Wiley, New Jersey
58.
go back to reference Molchan GM (2005) Interevent time distribution of seismicity: A theoretical approach. Pure Appl Geophys 162:1135–1150CrossRef Molchan GM (2005) Interevent time distribution of seismicity: A theoretical approach. Pure Appl Geophys 162:1135–1150CrossRef
59.
go back to reference National Research Council (2003) Living on an active earth, perspectives on earthquake sciences. The National Academies Press, Washington DC National Research Council (2003) Living on an active earth, perspectives on earthquake sciences. The National Academies Press, Washington DC
60.
go back to reference Newman AV, Okal EA (1998) Teleseismic estimates of radiated seismic energy: the S/M0 discriminant for tsunami earthquakes. J Geophys Res 103(B11):23885–23898CrossRef Newman AV, Okal EA (1998) Teleseismic estimates of radiated seismic energy: the S/M0 discriminant for tsunami earthquakes. J Geophys Res 103(B11):23885–23898CrossRef
61.
go back to reference Ogata Y (1999) Seismicity analysis through point‐process modeling: A review. Pure Appl Geophys 155:471–507CrossRef Ogata Y (1999) Seismicity analysis through point‐process modeling: A review. Pure Appl Geophys 155:471–507CrossRef
62.
go back to reference Ogata Y, Zhuang J (2006) Space-time ETAS models and an improved extension. Tectonophysics 413:13–23CrossRef Ogata Y, Zhuang J (2006) Space-time ETAS models and an improved extension. Tectonophysics 413:13–23CrossRef
63.
go back to reference Okada Y (1992) Internal deformation due to shear and tensile faults in a half space. Bull Seismol Soc Am 82:1018–1040 Okada Y (1992) Internal deformation due to shear and tensile faults in a half space. Bull Seismol Soc Am 82:1018–1040
64.
go back to reference Okal EA, Alasset P-J, Hyvernaud O, Schindele F (2003) The deficient T waves of tsunami earthquakes. Geophys J Int 152:416–432CrossRef Okal EA, Alasset P-J, Hyvernaud O, Schindele F (2003) The deficient T waves of tsunami earthquakes. Geophys J Int 152:416–432CrossRef
65.
go back to reference Rundle JB, Gross S, Klein W, Ferguson C, Turcotte DL (1997) The statistical mechanics of earthquakes. Tectonophysics 277:147–164CrossRef Rundle JB, Gross S, Klein W, Ferguson C, Turcotte DL (1997) The statistical mechanics of earthquakes. Tectonophysics 277:147–164CrossRef
66.
go back to reference Rundle JB, Klein W, Tiampo K, Gross S (2000) Linear pattern dynamics in nonlinear threshold systems. Phys Rev E 61(3):2418–2143CrossRef Rundle JB, Klein W, Tiampo K, Gross S (2000) Linear pattern dynamics in nonlinear threshold systems. Phys Rev E 61(3):2418–2143CrossRef
67.
go back to reference Rundle JB, Turcotte DL, Klein W (eds) (2000) GeoComplexity and the physics of earthquakes. American Geophysical Union, Washington, pp 284 Rundle JB, Turcotte DL, Klein W (eds) (2000) GeoComplexity and the physics of earthquakes. American Geophysical Union, Washington, pp 284
68.
go back to reference Saichev A, Sornette D (2007) Theory of earthquake recurrence times. J Geophys Res 112(B4):1–26CrossRef Saichev A, Sornette D (2007) Theory of earthquake recurrence times. J Geophys Res 112(B4):1–26CrossRef
69.
go back to reference Saichev A, Helmstetter A, Sornette D (2005) Power law distributions of offspring and generation numbers in branching models of earthquake triggering. Pure Appl Geophys 162:1113–1134CrossRef Saichev A, Helmstetter A, Sornette D (2005) Power law distributions of offspring and generation numbers in branching models of earthquake triggering. Pure Appl Geophys 162:1113–1134CrossRef
70.
go back to reference Sander J, Ester M, Krieger H (1998) Density based clustering in spatial databases, The algorithm DBSCAN and its applications. Data Min Knowl Discov 2(2):169–194CrossRef Sander J, Ester M, Krieger H (1998) Density based clustering in spatial databases, The algorithm DBSCAN and its applications. Data Min Knowl Discov 2(2):169–194CrossRef
71.
go back to reference Shcherbakov R, Turcotte DL (2004) A modified form of Bath's law. Bull Seismol Soc Am 94:1968–1975CrossRef Shcherbakov R, Turcotte DL (2004) A modified form of Bath's law. Bull Seismol Soc Am 94:1968–1975CrossRef
72.
go back to reference Shcherbakov R, Turcotte DL, Rundle JB (2005) Aftershock statistics. Pure Appl Geophys 162(6–7):1051–1076CrossRef Shcherbakov R, Turcotte DL, Rundle JB (2005) Aftershock statistics. Pure Appl Geophys 162(6–7):1051–1076CrossRef
73.
go back to reference Siedlecki W, Siedlecka K, Sklanski J (1988) An overview of mapping for exploratory pattern analysis. Pattern Recognit 21(5):411–430CrossRef Siedlecki W, Siedlecka K, Sklanski J (1988) An overview of mapping for exploratory pattern analysis. Pattern Recognit 21(5):411–430CrossRef
74.
go back to reference Sornette D (2006) Critical phenomena in natural sciences. Springer Series in Synergetics, Berlin, pp 528 Sornette D (2006) Critical phenomena in natural sciences. Springer Series in Synergetics, Berlin, pp 528
75.
go back to reference Sornette D, Johansen A, Bauchaud J-P (1996) Stock market crashes, precursors and replicas. J Phys Int Finance 5:167–175 Sornette D, Johansen A, Bauchaud J-P (1996) Stock market crashes, precursors and replicas. J Phys Int Finance 5:167–175
77.
go back to reference Tan P-N, Steinbach M, Kumar V (2005) Introduction to data mining. Addison Wesley, Boston, pp 769 Tan P-N, Steinbach M, Kumar V (2005) Introduction to data mining. Addison Wesley, Boston, pp 769
78.
go back to reference Theodoris S, Koutroumbas K (1998) Pattern recognition. Academic Press, San Diego Theodoris S, Koutroumbas K (1998) Pattern recognition. Academic Press, San Diego
79.
go back to reference Turcotte DL (1997) Fractals and chaos in geology and geophysics, 2nd Edn. Cambridge University Press, New York Turcotte DL (1997) Fractals and chaos in geology and geophysics, 2nd Edn. Cambridge University Press, New York
80.
go back to reference Utsu T (2002) Statistical Features of Seismicity. In: Lee WHK, Kanamori H, Jennings PC, Kisslinger C (eds) International Handbook of Earthquake and Engineering Seismology, Part A. Academic Press, pp 719–732 Utsu T (2002) Statistical Features of Seismicity. In: Lee WHK, Kanamori H, Jennings PC, Kisslinger C (eds) International Handbook of Earthquake and Engineering Seismology, Part A. Academic Press, pp 719–732
81.
go back to reference Van Aalsburg J, Grant LB, Yakovlev G, Rundle PB, Rundle JB, Turcotte DL, Donnellan A (2007) A feasibility study of data assimilation in numerical simulations of earthquake fault systems. Phys Earth Planet Inter 163:149–162CrossRef Van Aalsburg J, Grant LB, Yakovlev G, Rundle PB, Rundle JB, Turcotte DL, Donnellan A (2007) A feasibility study of data assimilation in numerical simulations of earthquake fault systems. Phys Earth Planet Inter 163:149–162CrossRef
82.
go back to reference Vere-Jones D (1976) A branching model for crack propagation. Pure Appl Geophys 114(4):711–726CrossRef Vere-Jones D (1976) A branching model for crack propagation. Pure Appl Geophys 114(4):711–726CrossRef
83.
go back to reference Walker DA, Mc Creery CS, Hiyoshi Y (1992) T-phase spectra, seismic moment and tsunamigenesis. Bull Seismol Soc Am 82:1275–1305 Walker DA, Mc Creery CS, Hiyoshi Y (1992) T-phase spectra, seismic moment and tsunamigenesis. Bull Seismol Soc Am 82:1275–1305
84.
go back to reference Wesnousky SG (1994) The Gutenberg‐Richter or characteristic earthquake distribution, which is it? Bull Seismol Soc Amer 84:1940–1959 Wesnousky SG (1994) The Gutenberg‐Richter or characteristic earthquake distribution, which is it? Bull Seismol Soc Amer 84:1940–1959
85.
go back to reference Yuen DA, Garbow ZA, Erlebacher G (2004) Remote data analysis, Visualization and Problem Solving Environment (PSE) based on wavelet analysis in the geosciences. Vis Geosci 8:83–92. doi:10.1007/x10069-003-0012-z Yuen DA, Garbow ZA, Erlebacher G (2004) Remote data analysis, Visualization and Problem Solving Environment (PSE) based on wavelet analysis in the geosciences. Vis Geosci 8:83–92. doi:​10.​1007/​x10069-003-0012-z
86.
go back to reference Zadeh LA (1996) Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi A Zadeh, World Scientific Series In Advances In Fuzzy Systems. World Scientific Publishing, River Edge, pp 826 Zadeh LA (1996) Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi A Zadeh, World Scientific Series In Advances In Fuzzy Systems. World Scientific Publishing, River Edge, pp 826
87.
go back to reference Zhang Q, Boyle R (1991) A new clustering algorithm with multiple runs of iterative procedures. Pattern Recognit 24(9):835–848 Zhang Q, Boyle R (1991) A new clustering algorithm with multiple runs of iterative procedures. Pattern Recognit 24(9):835–848
90.
go back to reference Ertoz L, Steinbach M, Kumar V (2003) Finding clusters of different size, shapes and densities in noisy, high‐dimensional data. Army High Performance Center, technical report, April 2003 Ertoz L, Steinbach M, Kumar V (2003) Finding clusters of different size, shapes and densities in noisy, high‐dimensional data. Army High Performance Center, technical report, April 2003
Metadata
Title
Earthquake Clusters over Multi-dimensional Space, Visualization of
Authors
David A. Yuen
Witold Dzwinel
Yehuda Ben-Zion
Ben Kadlec
Copyright Year
2011
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4419-7695-6_11