Statistical tests of simple earthquake cycle models

• Published in: Geophysical research letters Vol. 43; no. 23; pp. 12,036 - 12,045
• Main Authors: DeVries, Phoebe M. R., Evans, Eileen L.
• Format: Journal Article
• Language: English
• Published: Washington John Wiley & Sons, Inc 16-12-2016
• Subjects: Basins; earthquake cycle; Earthquake prediction; Earthquakes; Estimates; Fault lines; Faults; Geological faults; Geology; hypothesis testing; Kolmogorov-Smirnov test; Mathematical models; Modelling; Phenomenology; Physics; Rheological properties; rheology; Seismic activity; Similarity; Slip; Statistical analysis; Statistical tests; Strike-slip faults; Tests; Time measurement; viscoelastic; Viscoelasticity; Viscosity; Turkey; California; Tibet; United States > US; Owens Valley; China, People's Rep., Xizang; INE, USA, California; USA, California, Owens Valley; MED, Turkey
• ISSN: 0094-8276; 1944-8007
• DOI: 10.1002/2016GL070681

A central goal of observing and modeling the earthquake cycle is to forecast when a particular fault may generate an earthquake: a fault late in its earthquake cycle may be more likely to generate an earthquake than a fault early in its earthquake cycle. Models that can explain geodetic observations throughout the entire earthquake cycle may be required to gain a more complete understanding of relevant physics and phenomenology. Previous efforts to develop unified earthquake models for strike‐slip faults have largely focused on explaining both preseismic and postseismic geodetic observations available across a few faults in California, Turkey, and Tibet. An alternative approach leverages the global distribution of geodetic and geologic slip rate estimates on strike‐slip faults worldwide. Here we use the Kolmogorov‐Smirnov test for similarity of distributions to infer, in a statistically rigorous manner, viscoelastic earthquake cycle models that are inconsistent with 15 sets of observations across major strike‐slip faults. We reject a large subset of two‐layer models incorporating Burgers rheologies at a significance level of α = 0.05 (those with long‐term Maxwell viscosities ηM <~ 4.0 × 1019 Pa s and ηM >~ 4.6 × 1020 Pa s) but cannot reject models on the basis of transient Kelvin viscosity ηK. Finally, we examine the implications of these results for the predicted earthquake cycle timing of the 15 faults considered and compare these predictions to the geologic and historical record.
Key Points
We test viscoelastic earthquake cycle models for consistency with 15 sets of observations across major strike‐slip faults
Kolmogorov‐Smirnov hypothesis tests allow the rejection of a large subset of viscoelastic models at a significance level of 0.05
Model predictions of earthquake cycle timing are consistent with geologic and historical records on the Owens Valley and Altyn Tagh faults