Distribution of volcanic earthquake recurrence intervals

We analyze the distribution of volcanic earthquake recurrence intervals in the
Vesuvio, Campi Flegrei, and Hawaii regions and compare it with tectonic recurrence rates
in California. We find that the distribution behavior is similar for volcanic and tectonic
seismic events. In both cases, the recurrence interval distributions collapse onto the same
master curve if time is rescaled by the average occurrence rate. This implies that both
phenomena have the same temporal organization, and it is possible to adopt for volcanic
areas that the same occurrence models used for tectonic regions.

Bak, P., K. Christensen, L. Danon, and T. Scanlon (2002), Unified scaling
law for earthquakes, Phys. Rev. Lett., 88, 178501.
Corral, A. (2003), Local distributions and rate fluctuations in a unified
scaling law for earthquakes, Phys. Rev. E, 68, 035102.
Corral, A. (2004), Long-term clustering, scaling, and universality in the
temporal occurrence of earthquakes, Phys. Rev. Lett., 92, 108501.
Corral, A. (2006), Modelling critical and catastrophic phenomena in
Geoscience: A statistical physics approach, in Lecture Notes in Physics,
vol. 705, edited by P. Bhattacharyya and B. K. Chakrabarti, pp. 191– 221,
Springer, Berlin.
Corral, A., and K. Christensen (2006), Comment on ‘‘Earthquakes descaled:
On waiting time distributions and scaling laws’’, Phys. Rev. Lett.,
96, 109801.
Davidsen, J., and C. Goltz (2004), Are seismic waiting time distributions
universal?, Geophys. Res. Lett., 31, L21612, doi:10.1029/
2004GL020892.
Diodati, P., F. Marchesoni, and S. Piazza (1991), Acoustic emission from
volcanic rocks: An example of self-organized criticality, Phys. Rev. Lett.,
67(17), 2239–2243.
Gutenberg, B., and C. F. Richter (1944), Frequency of earthquakes in
California, Bull. Seismol. Soc. Am., 34, 185– 188.
Helmstetter, A. (2003), Is earthquakes triggering driven by small earthqukes?,
Phys. Res. Lett., 91, 058501.
Lemarchand, N., and J. Grasso (2007), Interaction between earthquakes
and volcano activity, Geophys. Res. Lett., 34, L24303, doi:10.1029/
2007GL031438.
Lindman, M., K. Jonsdottir, R. Roberts, B. Lund, and R. Bdvarsson (2005),
Earthquakes descaled: On waiting time distributions and scaling law,
Phys. Rev. Lett., 94, 108501.
Lippiello, E., C. Godano, and L. de Arcangelis (2007), Dynamical scaling
in branching models for seismicity, Phys. Rev. Lett., 98, 98,501– 98,504.
Lippiello, E., L. de Arcangelis, and C. Godano (2008), Influence of time
and space correlations on earthquake magnitude, Phys. Rev. Lett., 100,
038501– 038504.
Molchan, G. (2005), Interevent time distribution in seismicity: A theoretical
approach, Pure Appl. Geophys., 162, 1135–1150, doi:10.1007/s00024-
0004-2664-5.
Ogata, Y. (1988), Statistical models for earthquakes occurrence and residual
analysis for point processes, J. Am. Stat. Assoc., 83, 9– 27.
Omori, F. (1894), On the after-shocks of earthquakes, J. Coll. Sci., Imp.
Univ. Tokyo, 7, 111– 200.
Saichev, A., and D. Sornette (2006), Universal distribution of interearthquake
times explained, Phys. Rev. Lett., 97, 079501.
Saichev, A., and D. Sornette (2007), Theory of earthquake recurrence times,
J. Geophys. Res., 112, B04313, doi:10.1029/2006JB004536.
Shcherbakov, R., G. Yacovlev, D. L. Turcotte, and J. B. Rundle (2005a),
Model for distribution of aftershocks interoccurrence times, Phys. Rev.
Lett., 95, 218501.
Shcherbakov, R., D. L. Turcotte, and J. B. Rundle (2005b), Aftershock
statistics, Pure Appl. Geophys., 162, 1051– 1076, doi:10.1007/s00024-
004-2661-8.
Utsu, T. (2002), Statistical features of seismicity, in International Handbook
of Earthquake and Engineering Seismology, Int’l Assoc. Seismol. and
Phys. Earth’s Interior, Committee on Education., edited by W. K. Lee et
al., Part A, pp. 719– 732, Academic Press, Amsterdam.
Vere-Jones, D. (2005), A class of self-similar random measure, Adv. Appl.
Prob., 37, 908– 914.