<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.nonlin-processes-geophys.net/inc/npg/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>Nonlinear Processes  in Geophysics</journal_title>
		<journal_url>www.nonlin-processes-geophys.net</journal_url>
		<issn>1023-5809</issn>
		<eissn>1607-7946</eissn>
		<volume_number>15</volume_number>
		<issue_number>2</issue_number>
		<publication_year>2008</publication_year>
	</journal>
	<doi>10.5194/npg-15-245-2008</doi>
	<article_url>http://www.nonlin-processes-geophys.net/15/245/2008/</article_url>
	<abstract_html>http://www.nonlin-processes-geophys.net/15/245/2008/npg-15-245-2008.html</abstract_html>
	<fulltext_pdf>http://www.nonlin-processes-geophys.net/15/245/2008/npg-15-245-2008.pdf</fulltext_pdf>
	<start_page>245</start_page>
	<end_page>263</end_page>
	<publication_date>2008-03-13</publication_date>
	<article_title content_type="html">Loading rates in California inferred from aftershocks</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>C. Narteau</name>
			<email>narteau@ipgp.jussieu.fr</email>
		</author>
		<author numeration="2" affiliations="2">
			<name>P. Shebalin</name>
		</author>
		<author numeration="3" affiliations="3">
			<name>M. Holschneider</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Laboratoire de Dynamique des Fluides Géologiques,  Institut de Physique du Globe de Paris, 75252 Paris Cedex 05, France</affiliation>
		<affiliation numeration="2" content_type="html">International Institute of Earthquake  Prediction Theory and Mathematical Geophysics, Warshavskoye shosse,  79, korp 2, Moscow 113556, Russia</affiliation>
		<affiliation numeration="3" content_type="html">Institutes of Applied and Industrial Mathematics,  Universität Potsdam, P.O. Box 601553, 14115 Potsdam, Germany</affiliation>
	</affiliations>
	<abstract content_type="html">We estimate the loading rate
in southern California and the change in stress induced by a
transient slip event across the San Andreas fault (SAF)
system in central California,
using a model of static fatigue.
We analyze temporal properties of aftershocks
in order to determine the time delay
before the onset of the power law aftershock decay rate.
In creep-slip and stick-slip zones, we show that the rate
of change of this delay is related to seismic and aseismic
deformation across the SAF system.
Furthermore, we show that this rate of change is
proportional to the deficit of slip rate along the SAF.
This new relationship between geodetic and seismological data is in
good agreement with predictions from a Limited Power Law model
in which the evolution of the duration of a linear aftershock
decay rate over short time results from variations
in the load of the brittle upper crust.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Argus, D. and Gordon, R.: Present tectonic motion across the Coast Ranges and San Andreas fault system in central California, Geol. Soc. Am. Bull., 113, 1580&amp;ndash;1592, 2001. </reference>
		<reference numeration="2" content_type="text"> Atkinson, B K.: Subcritical crack growth in geological materials, J. Geophys. Res., 89, 4077&amp;ndash;4114, 1984. </reference>
		<reference numeration="3" content_type="text"> Atkinson, B K. and Meredith, P G.: The theory of subcritical crack growth with applications to minerals and rocks, in: Fracture Mechanics of rock, edited by Atkinson, B K., Geology series, 111&amp;ndash;166, Academic Press, 1987. </reference>
		<reference numeration="4" content_type="text"> Bakun, W H., Aagaard, B., Dost, B., Ellsworth, W L., Hardebeck, J L., Harris, R A., Ji, C., Johnston, M. J S., Langbein, J., Lienkaemper, J J., Michael, A J., Murray, J R., Nadeau, R M., Reasenberg, P A., Reichle, M S., Roeloffs, E A., Shakal, A., Simpson, R W., and Waldhauser, F.: Implications for prediction and hazard assessment from the 2004 Parkfield earthquake, Nature, 437, 969&amp;ndash;974, 2005. </reference>
		<reference numeration="5" content_type="text"> Bennett, R A., Rodi, S., and Reilinger, R E.: System constraints on fault slip rates in southern California and northern Baja Mexico, J. Geophys. Res., 101, 21 943&amp;ndash;21 960, 10.1029/96JB02488, 1996. </reference>
		<reference numeration="6" content_type="text"> Charles, R.: The static fatigue of glass, J. Appl. Phys., 29, 1549&amp;ndash;1560, 1958. </reference>
		<reference numeration="7" content_type="text"> Charles, R. and Hillig, W B.: The kinetics of Glass Failure by Stress Corrosion, in: Symposium on the Mechanical Strength of Glass and Ways of Improving It, edited by Union Scientifique Continentale~du Verre and Charleroi, B., 511&amp;ndash;527, 1962. </reference>
		<reference numeration="8" content_type="text"> Cook, R.: Crack propagation thresholds: A measure of surface energy, J. Mater. Res., 29, 862&amp;ndash;866, 1986. </reference>
		<reference numeration="9" content_type="text"> Deng, J., Hudnut, K., Gurnis, M., and Hauksson, E.: Stress loading from viscous flow in the lower crust and triggering of aftershocks following the 1994 Northridge, California, Earthquake, Geophys. Res. Lett., 26, 3209&amp;ndash;3212, 1999. </reference>
		<reference numeration="10" content_type="text"> Dragert, H., Wang, K., and James, T.: A silent slip event on deeper Cascadia subduction interface, Science, 292, 1525&amp;ndash;1528, 2001. </reference>
		<reference numeration="11" content_type="text"> Enescu, B., Mori, J., and Miyasawa, M.: Quantifying early aftershock activity of the 2004 mid-Niigata Prefecture earthquake ($M_w 6.6$), J. Geophys. Res., B04310, doi:10.1029/2006JB004629, 2007. </reference>
		<reference numeration="12" content_type="text"> Fialko, Y.: Interseismic strain accumulation and the earthquake potential on the southern San Andreas fault system, Nature, 441, 968&amp;ndash;971, 2006. </reference>
		<reference numeration="13" content_type="text"> Gao, S S., Silver, P G., and T., L A.: Analysis of deformation data at Parkfield, California: detection of a long-term strain transient, J. Geophys. Res., 105, 2955&amp;ndash;2967, 2000. </reference>
		<reference numeration="14" content_type="text"> Gardner, J. and Knopoff, L.: Is the sequence of earthquakes in southern California with aftershocks removed Poissonian?, Bull. Seismol. Soc. Am., 5, 1363&amp;ndash;1367, 1974. </reference>
		<reference numeration="15" content_type="text"> Gutenberg, B. and Richter, C.: Frequency of earthquakes in California, Bull. Seismol. Soc. Am., 34, 185&amp;ndash;188, 1944. </reference>
		<reference numeration="16" content_type="text"> Hanks, T C.: Earthquake stress drops, ambient tectonic stresses ans stresses that drives plate motions, Pure Appl. Geophys., 115, 441&amp;ndash;458, 1977. </reference>
		<reference numeration="17" content_type="text"> Kagan, Y. and Houston, H.: Relation between mainshock rupture process and Omori&apos;s law for aftershock moment release rate, Geophys. J. Int., 163, 1039&amp;ndash;1048, 2005. </reference>
		<reference numeration="18" content_type="text"> Langbein, J., Burford, R., and Slater, L.: Variations in fault slip and strain accumulation at Parkfield, California: Initial results using two-color geodimeter measurements, 1984&amp;ndash;1988, J. Geophys. Res., 95, 2533&amp;ndash;2552, 1990. </reference>
		<reference numeration="19" content_type="text"> Langbein, J., Gwyther, R L., Hart, R. H G., and Gladwin, M T.: slip-rate increase at Parkfield in 1993 detected by high precision EDM and borehole tensor strainmeters, Geophys. Res. Lett., 26, 2529&amp;ndash;2532, 1999. </reference>
		<reference numeration="20" content_type="text"> Langbein, J O.: Post-seismic slip on the San Andreas Fault at the northwestern end of the 1989 Loma Prieta earthquake rupture zone, Geophys. Res. Lett., 17, 1223&amp;ndash;1226, 1990. </reference>
		<reference numeration="21" content_type="text"> Murray, J R. and Segall, P.: Spatiotemporal evolution of a transient slip event on the San Andreas fault near Parkfield, California, J. Geophys. Res., B09407, doi:10.1029/JB003651, 2005. </reference>
		<reference numeration="22" content_type="text"> Nadeau, R M. and McEvilly, T V.: Fault slip rates at depth from recurrence intervals of repeating microearthquakes, Science, 285, 718&amp;ndash;721, 1999. </reference>
		<reference numeration="23" content_type="text"> Nadeau, R M. and McEvilly, T V.: Periodic pulsing of characteristic microearthquakes on the San Andreas Fault, Science, 303, 220&amp;ndash;222, 2004. </reference>
		<reference numeration="24" content_type="text"> Narteau, C.: Classification of seismic patterns in a hierarchical model of rupture: a new phase diagram for seismicity, Geophys. J. Int., 168, 710&amp;ndash;722, 2007. </reference>
		<reference numeration="25" content_type="text"> Narteau, C., Shebalin, P., and Holschneider, M.: Temporal limits of the power law aftershock decay rate, J. Geophys. Res., 107, 2359, doi:10.1029/2002JB001868, 2002. </reference>
		<reference numeration="26" content_type="text"> Narteau, C., Shebalin, P., Zöller, G., Hainzl, S., and Holschneider, M.: Emergence of a band-limited power law in the aftershock decay rate of a slider-block model of seismicity, Geophys. Res. Lett., 30, 1568, doi:10.1029/2003GL017110, 2003. </reference>
		<reference numeration="27" content_type="text"> Narteau, C., Shebalin, P., and Holschneider, M.: Onset of power law aftershock decay rates in Soutern California, Geophys. Res. Lett., 32, L22312, doi:10.1029/2005GL023951, 2005. </reference>
		<reference numeration="28" content_type="text"> Nur, A. and Booker, J.: Aftershocks caused by pore fluid flow?, Science, 175, 885&amp;ndash;887, 1972. </reference>
		<reference numeration="29" content_type="text"> Omori, F.: On after-shocks of earthquakes, J. Coll. Sci. Imp. Univ. Tokyo, 7, 111&amp;ndash;200, 1894. </reference>
		<reference numeration="30" content_type="text"> Peltzer, G., Crampé, F., Hensley, S., and Rosen, R.: Transient strain accumulation and fault interaction in the Eastern California shear zone, Geology, 29, 975&amp;ndash;978, 2001. </reference>
		<reference numeration="31" content_type="text"> Peng, Z G., Vidale, J E., and Houston, H.: Anomalous early aftershock decay rate of the 2004 Mw6.0 Parkfield, California, earthquake, Geophys. Res. Lett., 33, L17307, doi:10.1029/2006GL026744, 2006. </reference>
		<reference numeration="32" content_type="text"> Peng, Z G., Vidale, J E., Ishii, M., and Helmstetter, A.: Seismicity rate immediatly before and after main shock rupture from high frequency waveforms in Japan, J. Geophys. Res., 112, B03306, doi:10.1029/2006JB004386, 2007. </reference>
		<reference numeration="33" content_type="text"> Press, W H., Teulosky, S A., Vetterling, W T., and Flannery, B P.: Numerical recipes in C, Cambridge University Press, 1992. </reference>
		<reference numeration="34" content_type="text"> Reasenberg, P.: Second-order moment of central California seismicity, 1969-1982, J. Geophys. Res., 90, 5479&amp;ndash;5495, 1985. </reference>
		<reference numeration="35" content_type="text"> Sammis, C. and Rice, J.: Repeating Earthquakes as Low-Stress-Drop Events at a Border between Locked and Creeping Fault Patches, Bull. Seismol. Soc. America, 81, 532&amp;ndash;537, 2001. </reference>
		<reference numeration="36" content_type="text"> Sauber, J., Solomon, S C., and Thatcher, W.: Geodetic measurement of deformation in the central Mojave Desert, California, J. Geophys. Res., 91, 12 683&amp;ndash;12 693, 1986. </reference>
		<reference numeration="37" content_type="text"> Savage, J. and Burford, R.: Geodetis determination of relative plate motion in central California, J. Geophys. Res., 78, 832&amp;ndash;845, 1973. </reference>
		<reference numeration="38" content_type="text"> Schmidt, D A., Bürgmann, R., Nadeau, R M., and d&apos;Alessio, M.: Distribution of aseismic slip rate on the Hayward fault inferred from seismic and geodetic data, J. Geophys. Res., 110, B08406, doi:10.1029/2004JB003397, 2005. </reference>
		<reference numeration="39" content_type="text"> Scholz, C.: Microfractures, aftershocks, and seismicity, Bull. Seismol. Soc. Am., 58, 1117&amp;ndash;1130, 1968. </reference>
		<reference numeration="40" content_type="text"> Scholz, C H.: The Mechanism of Earthquakes and Faulting, Cambridge University Press, 1990. </reference>
		<reference numeration="41" content_type="text"> Schorlemmer, D. and Wiemer, S.: Microseismicity data forecast rupture area, Nature, 434, 1086&amp;ndash;1086, 2005. </reference>
		<reference numeration="42" content_type="text"> Schorlemmer, D., Wiemer, S., and Wyss, M.: Variations in earthquake-size distribution across different stress regimes, Nature, 437, 539&amp;ndash;542, 2005. </reference>
		<reference numeration="43" content_type="text"> Shcherbakov, R., Turcotte, D L., and Rundle, J B.: A generalized Omori&apos;s law for earthquake aftershock decay, Geophys. Res. Lett., 31, L11613, doi:10.1029/2004GL019808, 2004. </reference>
		<reference numeration="44" content_type="text"> Sieh, K.: Lateral offset and revised dates of large prehistoric earthquakes at Pallet Creek, southern California, J. Geophys. Res., 89, 7641&amp;ndash;7670, 1984. </reference>
		<reference numeration="45" content_type="text"> Simpson, R W., Lienkaemper, J J., and Galehouse, J S.: Variations in creep rate along the Hayward Fault, California, interpreted as changes in depth of creep, Geophys. Res. Lett., 28, 2269&amp;ndash;2272, 2001. </reference>
		<reference numeration="46" content_type="text"> Titus, S., DeMets, C., and Tikoff, B.: New slip rates estimates for the creeping segment of the San Andreas fault, California, Geology, 33, 205&amp;ndash;208, 2005. </reference>
		<reference numeration="47" content_type="text"> Utsu, T., Ogata, Y., and Matsu&apos;ura, R.: The centenary of the Omori formula for a decay law of aftershocks activity, J. Phys. Earth, 43, 1&amp;ndash;33, 1995. </reference>
		<reference numeration="48" content_type="text"> Vidale, J E., Peng, Z., and Ishii, M.: Anomalous aftershock decay rates in the first hundred seconds revealed from the Hi-net borehole data, AGU Fall Meeting Abstracts, S51C&amp;ndash;0170X, 2004. </reference>
		<reference numeration="49" content_type="text"> Wesnousky, S G.: Predicting the endpoints of earthquake ruptures, Nature, 444, 358&amp;ndash;360, doi:10.1038/nature05275, 2006. </reference>
		<reference numeration="50" content_type="text"> Wiederhorn, S. and Bolz, L.: Stress corrosion and static fatigue of glass, J. Am. Ceram. Soc., 50, 543&amp;ndash;553, 1970. </reference>
		<reference numeration="51" content_type="text"> Wiemer, S. and Katsumata, K.: Spatial variability of seismicity parameters in aftershock zones, J. Geophys. Res., 104, 13 135&amp;ndash;13 151, 1999. </reference>
		<reference numeration="52" content_type="text"> Wiemer, S. and Wyss, M.: Minimum magnitude of completeness in earthquake catalogs: examples from Alaska, the western United States, and Japan, Bull. Seismol. Soc. Am., 90, 859&amp;ndash;869, 2000. </reference>
	</references>
</article>

