Benford's Law in Time Series Analysis of Seismic Clusters

Mathematical Geosciences

Volumn 44, Issue 5, 2012, Pages 619-634

  Sottili, Gianluca ^a   Palladino, Danilo M ^b   Giaccio, Biagio ^a   Messina, Paolo ^a  

^a CNR   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Random additive process; Random multiplicative process; Seismic hazard; Tidal frequencies

Indexed keywords

BENFORD'S LAW; BROWNIAN DYNAMICS; EARTH TIDE; MT. ETNA; MULTIPLICATIVE PROCESS; NATURAL SYSTEMS; PERIODICAL NOISE; POWER LAW BEHAVIOUR; POWER-LAW; RANDOM ADDITIVE PROCESS; RECURRENCE TIME; SEISMIC EVENT; SEISMIC HAZARDS; TIDAL FREQUENCIES; TIME SEPARATION; VOLCANIC AREAS;

BROWNIAN MOVEMENT; PROBABILITY DISTRIBUTIONS; TIME SERIES ANALYSIS;

EARTHQUAKES;

EARTH TIDE; EARTHQUAKE EVENT; POWER LAW DISTRIBUTION; PROBABILITY; SEISMIC HAZARD; SEISMICITY; TIME SERIES ANALYSIS;

ABRUZZI; CATANIA [SICILY]; ETNA; ITALY; L'AQUILA; SICILY;

AQUILA;

EID: 84862641075     PISSN: 18748961     EISSN: 18748953     Source Type: Journal    
DOI: 10.1007/s11004-012-9398-1     Document Type: Article

References (46)

1. Beeler NM, Lockner DA (2003) Why earthquakes correlate weakly with the solid Earth tides: effects of periodic stress on the rate and probability of earthquake occurrence. J Geophys Res 108(B8): 2391. doi: 10. 1029/2001JB001518.
2. Benford F (1938) The law of anomalous numbers. Proc Am Philos Soc 78: 551-572.
3. Boncio P, Lavecchia G, Pace B (2004) Defining a model of 3D seismogenic source for seismic hazard assessment applications: the case of central Apennines (Italy). J Seismol 8: 407-425.
4. CNR-PFG (1987) Neotectonic map of Italy. Quaderni de La Ricerca Scientifica, 114.
5. Cochran ES, Vidale JE (2007) Comment on "Tidal synchronicity of the 26 December 2004 Sumatran earthquake and its aftershocks" by R. G. M. Crockett et al. Geophys Res Lett 34: L04302. doi: 10. 1029/2006GL028639.
6. CPTI04 (2004) Catalogo Parametrico dei Terremoti Italiani, version 2004. CPTI Working Group, INGV, Bologna. http://emidius. mi. ingv. it/CPTI.
7. Crockett RGM, Gillmore GK, Phillips PS, Gilbertson DD (2006) Tidal synchronicity of the 26 December 2004 Sumatran earthquake and its aftershocks. Geophys Res Lett 33: L19302. doi: 10. 1029/2006GL027074.
8. D'Agostino N, Mantenuto S, D'Anastasio E, Giuliani R, Mattone M, Calcaterra S, Gambino P, Bonci L (2011) Evidence for localized active extension in the central Apennines (Italy) from global positioning system observations. Geology 39: 291-294.
9. D'Alessandro A, Cecere G, Amato A, Selvaggi G (2011). Improving the location performance of a seismic network through the SNES method. Geophys Res Abstr 13: EGU2011-11252, 2011.
10. Emter D (1997) Tidal triggering of earthquakes and volcanic events. In: Wilhelm H, Zürn W, Wenzel H-G (eds) Tidal phenomena. Springer, Berlin, pp 293-309.
11. Falcucci E, Gori S, Peronace E, Fubelli G, Moro M, Saroli M, Giaccio B, Messina P, Naso G, Scardia G, Sposato A, Voltaggio M, Galli P, Galadini F (2009) The Paganica fault and surface coseismic ruptures caused by the 6 April 2009 earthquake (L'Aquila, Central Italy). Seismol Res Lett 80: 940-950.
12. Galadini F, Galli P (2000) Active tectonics in the Central Apennines (Italy)-input data for seismic hazard assessment. Natural Hazards 22: 225-270.
13. Galli P, Galadini F, Pantosti D (2008) Twenty years of paleoseismology in Italy. Earth-Sci Rev 88: 89-117.
14. Galli P, Giaccio B, Messina P (2010) The 2009 central Italy earthquake seen through 0. 5 Myr-long tectonic history of the L'Aquila faults system. Quat Sci Rev 29: 3768-3789.
15. Geyer A, Martì J (2012) Applying Benford's law to volcanology. Geology 40: 331-334.
16. Glasby GP, Kasahara J (2001) Influence of tidal effects on the periodicity of earthquake activity in diverse geological settings with particular emphasis on submarine hydrothermal systems. Earth-Sci Rev 52: 261-297.
17. Gorshkov AI, Panza GF, Soloviev AA, Aoudia A (2002) Morphostructural zonation and preliminary recognition of seismogenic nodes around the Adria margin in peninsular Italy and Sicily. J Seismol Earthq Eng 4: 1-24.
18. Hartzell S, Heaton T (1989) The fortnightly tide and the tidal triggering of earthquakes. Bull Seismol Soc Am 79: 1282-1286.
19. Hirata T, Imoto M (1991) Multifractal analysis of spatial distribution of microearthquakes in the Kanto region. Geophys J Int 107: 155-162.
20. INGV (2010). ©ISIDe Working Group, Italian Seismological Instrumental and parametric database: http://iside. rm. ingv. it.
21. Kasahara J (2002) Tides, earthquakes, and volcanoes. Science 297: 348-349.
22. Kitada S (2006) Power-law distributions in random multiplicative processes with non-Gaussian colored multipliers. Phys A 370: 539-552.
23. Klein FW (1976) Earthquake swarms and the semidiurnal solid earth tide. Geophys J R Astr Soc 45: 245-295.
24. Kobayashi N, Sasaki Y, Moriyama O, Matsushita S, Matsushita M (2006) Nonlinear phenomena in complex systems empirical studies of random multiplicative stochastic processes: revisit to lognormals. Nonlinear Phenom Complex Syst 9: 276-282.
25. Lockner DA, Beeler NM (1999) Premonitory slip and tidal triggering of earthquakes. J Geophys Res 104(20): 133-151.
26. Mandelbrot BB (1982) The fractal geometry of nature. Freeman, New York.
27. McNutt SR, Beavan RJ (1981) Volcanic earthquakes at Pavlof volcano correlated with solid earth tide. Nature 294: 615-618.
28. Melchior P (1983). The tides of the planet Earth. Pergamon, New York, 641 pp.
29. Molchan G (2005) Interevent time distribution in seismicity: a theoretical approach. Pure Appl Geophys 162: 1135-1150. doi: 10. 1007/s00024-004-2664-5.
30. Neuberg J (2000) External modulation of volcanic activity. Geophys J Int 142: 232-240.
31. Nigrini MJ, Miller JS (2007) Benford's law applied to hydrology data-results and relevance to other geophysical data. Math Geol 39: 469-490.
32. Pietronero L, Tosatti E, Tosatti V, Vespignani A (2001) Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf. Phys A 293: 297-304.
33. Pinkham RS (1961) On the distribution of first significant digits. Ann Math Stat 32(4): 1223-1230.
34. Riguzzi F, Panza G, Varga P, Doglioni C (2010) Can Earth's rotation and tidal despinning drive plate tectonics? Tectonophysics 484: 60-73.
35. Roberts GP, Michetti AM (2004) Spatial and temporal variations in growth rates along active normal fault systems: an example from the Lazio-Abruzzo Apennines, central Italy. J Struct Geol 26: 339-376.
36. Saichev A, Sornette D (2006) Universal distribution of interearthquake times explained. Phys Rev Lett 97: 078501.
37. Saichev A, Sornette D (2007) Theory of earthquake recurrence times. J Geophys Res 112: B04313. doi: 10. 1029/2006JB004536.
38. Sambridge M, Tkalčić H, Jackson A (2010) Benford's law in the natural sciences. Geophys Res Lett 37: L22301. doi: 10. 1029/2010GL044830.
39. Sambridge M, Tkalčić H, Arroucau P (2011) Benford's law of first digits: from mathematical curiosity to change detector. Asia Pacific Math News Lett 1(4): 1-6.
40. Scholz CH (2003) Good tiding. Nature 425: 670-671.
41. Sottili G, Palladino DM (2012) Tidal modulation of eruptive activity at open-vent volcanoes: evidence from Stromboli, Italy. Terra Nova. doi: 10. 1111/j. 1365-3121. 2012. 01059. x.
42. Sottili G, Martino S, Palladino DM, Paciello A, Bozzano F (2007) Effects of tidal stresses on volcanic activity at Mount Etna, Italy. Geophys Res Lett 34: L01311. doi: 10. 1029/2006GL028190.
43. w 9. 1). Geophys Res Lett. doi: 10. 1029/2012GL051179.
44. Tsuruoka H, Ohtake M, Sato H (1995) Statistical test of the tidal triggering of earthquakes: contribution of the ocean tide loading effect. Geophys J Int 122: 183-194.
45. Vidale JE, Agnew DC, Johnston MJS, Oppenheimer DH (1998) Absence of earthquakes correlation with Earth tides: an indication of high preseismic fault stress rate. J Geophys Res 103(24): 567-572.
46. Wilcock WSD (2001) Tidal triggering of microearthquakes on the Juan de Fuca Ridge. Geophys Res Lett 28: 3999-4002.