Methods for earthquake forecasting generally look for trends or patterns that lead to an earthquake. As these trends may be complex and involve many variables, advanced statistical techniques are often needed to understand them, therefore these are sometimes called statistical methods. These approaches tend to have relatively long time periods, making them useful for earthquake forecasting.
Even the stiffest of rock is not perfectly rigid. Given a large force (such as between two immense tectonic plates moving past each other) the Earth's crust will bend or deform. According to the elastic rebound theory of Reid (1910), eventually the deformation (strain) becomes great enough that something breaks, usually at an existing fault. Slippage along the break (an earthquake) allows the rock on each side to rebound to a less deformed state. In the process, energy is released in various forms, including seismic waves. The cycle of tectonic force being accumulated in elastic deformation and released in a sudden rebound is then repeated. As the displacement from a single earthquake ranges from less than a meter to around 10 meters (for an M 8 quake), the demonstrated existence of large strike-slip displacements of hundreds of miles shows the existence of a long-running earthquake cycle.
At the contact where two tectonic plates slip past each other, every section must eventually slip, as (in the long-term) none get left behind. But they do not all slip at the same time; different sections will be at different stages in the cycle of strain (deformation) accumulation and sudden rebound. In the seismic gap model, the "next big quake" should be expected not in the segments where recent seismicity has relieved the strain, but in the intervening gaps where the unrelieved strain is the greatest. This model has an intuitive appeal; it is used in long-term forecasting, and was the basis of a series of circum-Pacific (Pacific Rim) forecasts in 1979 and 1989–1991.
However, some underlying assumptions about seismic gaps are now known to be incorrect. A close examination suggests that "there may be no information in seismic gaps about the time of occurrence or the magnitude of the next large event in the region"; statistical tests of the circum-Pacific forecasts shows that the seismic gap model "did not forecast large earthquakes well". Another study concluded that a long quiet period did not increase earthquake potential.
The 2015 Uniform California Earthquake Rupture Forecast, Version 3, or UCERF3, is the latest official earthquake rupture forecast (ERF) for the state of California, superseding UCERF2. It provides authoritative estimates of the likelihood and severity of potentially damaging earthquake ruptures in the long- and near-term. Combining this with ground motion models produces estimates of the severity of ground shaking that can be expected during a given period (seismic hazard), and of the threat to the built environment (seismic risk). This information is used to inform engineering design and building codes, planning for disaster, and evaluating whether earthquake insurance premiums are sufficient for the prospective losses. A variety of hazard metrics can be calculated with UCERF3; a typical metric is the likelihood of a magnitude M 6.7 earthquake (the size of the 1994 Northridge earthquake) in the 30 years (typical life of a mortgage) since 2014.
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Kagan 1997b, p. 507. - Kagan, Yan Y. (December 1997b), "Are earthquakes predictable?", Geophysical Journal International, 131 (3): 505–525, Bibcode:1997GeoJI.131..505K, doi:10.1111/j.1365-246X.1997.tb06595.x https://ui.adsabs.harvard.edu/abs/1997GeoJI.131..505K
Geller et al. 1997, p. 1617; Geller 1997, §2.3, p. 427; Console 2001, p. 261. - Geller, Robert J.; Jackson, David D.; Kagan, Yan Y.; Mulargia, Francesco (14 March 1997), "Earthquakes Cannot Be Predicted" (PDF), Science, 275 (5306): 1616, doi:10.1126/science.275.5306.1616, S2CID 123516228, archived from the original (PDF) on 12 May 2019, retrieved 29 December 2016 https://web.archive.org/web/20190512161821/http://moho.ess.ucla.edu/~kagan/Geller_et_al_1997.pdf
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Reid 1910, p. 22; ICEF 2011, p. 329. - Reid, Harry Fielding (1910), "The Mechanics of the Earthquake.", The California Earthquake of April 18, 1906: Report of the State Earthquake Investigation Commission, vol. 2 https://archive.org/details/cu31924004102079
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Zoback 2006 provides a clear explanation. Evans 1997, §2.2 also provides a description of the "self-organized criticality" (SOC) paradigm that is displacing the elastic rebound model. - Zoback, Mary Lou (April–May 2006), "The 1906 earthquake and a century of progress in understanding earthquakes and their hazards" (PDF), GSA Today, 16 (r/5): 4–11, Bibcode:2006GSAT...16d...4Z, doi:10.1130/GSAT01604.1 https://www.geosociety.org/gsatoday/archive/16/4/pdf/i1052-5173-16-4-4.pdf
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These include the type of rock and fault geometry.
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Jackson & Kagan 2006. - Jackson, David D.; Kagan, Yan Y. (September 2006), "The 2004 Parkfield earthquake, the 1985 prediction, and characteristic earthquakes: Lessons for the future" (PDF), Bulletin of the Seismological Society of America, 96 (4B): S397–S409, Bibcode:2006BuSSA..96S.397J, doi:10.1785/0120050821, archived from the original (PDF) on 2014-03-23, retrieved 2016-12-30 https://web.archive.org/web/20140323052332/http://moho.ess.ucla.edu/~kagan/BSSA_S397.pdf
Scholz 2002, p. 284, §5.3.3; Kagan & Jackson 1991, pp. 21, 419; Jackson & Kagan 2006, p. S404. - Scholz, Christopher H. (2002), The Mechanics of earthquakes and faulting (2nd ed.), Cambridge Univ. Press, ISBN 0-521-65223-5
Kagan & Jackson 1991, pp. 21, 419; McCann et al. 1979; Rong, Jackson & Kagan 2003. - Kagan, Yan Y.; Jackson, David D. (10 December 1991), "Seismic Gap Hypothesis: Ten Years After" (PDF), Journal of Geophysical Research: Solid Earth, 96 (B13): 21419–21431, Bibcode:1991JGR....9621419K, doi:10.1029/91jb02210, archived from the original (PDF) on 4 March 2016, retrieved 30 December 2016 https://web.archive.org/web/20160304080738/http://moho.ess.ucla.edu/~kagan/JGR_1991_after.pdf
Lomnitz & Nava 1983. - Lomnitz, Cinna; Nava, F. Alejandro (December 1983), "The predictive value of seismic gaps.", Bulletin of the Seismological Society of America, 73 (6A): 1815–1824
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Kagan & Jackson 1991, Summary. - Kagan, Yan Y.; Jackson, David D. (10 December 1991), "Seismic Gap Hypothesis: Ten Years After" (PDF), Journal of Geophysical Research: Solid Earth, 96 (B13): 21419–21431, Bibcode:1991JGR....9621419K, doi:10.1029/91jb02210, archived from the original (PDF) on 4 March 2016, retrieved 30 December 2016 https://web.archive.org/web/20160304080738/http://moho.ess.ucla.edu/~kagan/JGR_1991_after.pdf
Field et al. 2013, p. 2. - Field, Edward H.; Biasi, Glenn P.; Bird, Peter; Dawson, Timothy E.; Felzer, Karen R.; Jackson, David D.; Johnson, Kaj M.; Jordan, Thomas H.; Madden, Christopher; Michael, Andrew J.; Milner, Kevin R.; Page, Morgan T.; Parsons, Tom; Powers, Peter M.; Shaw, Bruce E.; Thatcher, Wayne R.; Weldon, Ray J. II; Zeng, Yuehua (2013), Uniform California earthquake rupture forecast, version 3 (UCERF3) – The time-independent model, vol. Open-File Report 2013–1165, United States Geological Survey https://pubs.usgs.gov/of/2013/1165/
For a list of evaluation metrics available as of 2013 see Table 11 in Field et al. 2013, p. 52. - Field, Edward H.; Biasi, Glenn P.; Bird, Peter; Dawson, Timothy E.; Felzer, Karen R.; Jackson, David D.; Johnson, Kaj M.; Jordan, Thomas H.; Madden, Christopher; Michael, Andrew J.; Milner, Kevin R.; Page, Morgan T.; Parsons, Tom; Powers, Peter M.; Shaw, Bruce E.; Thatcher, Wayne R.; Weldon, Ray J. II; Zeng, Yuehua (2013), Uniform California earthquake rupture forecast, version 3 (UCERF3) – The time-independent model, vol. Open-File Report 2013–1165, United States Geological Survey https://pubs.usgs.gov/of/2013/1165/
Following standard seismological practice, all earthquake magnitudes here are per the moment magnitude scale. This is generally equivalent to the better known Richter scale. /wiki/Moment_magnitude_scale
Field et al. 2013, p. 2. - Field, Edward H.; Biasi, Glenn P.; Bird, Peter; Dawson, Timothy E.; Felzer, Karen R.; Jackson, David D.; Johnson, Kaj M.; Jordan, Thomas H.; Madden, Christopher; Michael, Andrew J.; Milner, Kevin R.; Page, Morgan T.; Parsons, Tom; Powers, Peter M.; Shaw, Bruce E.; Thatcher, Wayne R.; Weldon, Ray J. II; Zeng, Yuehua (2013), Uniform California earthquake rupture forecast, version 3 (UCERF3) – The time-independent model, vol. Open-File Report 2013–1165, United States Geological Survey https://pubs.usgs.gov/of/2013/1165/