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J. Choy, L. Broemeling (1980)
Some Bayesian Inferences for a Changing Linear ModelTechnometrics, 22
N. Draper, Harry Smith (1998)
Applied Regression Analysis: Draper/Applied Regression Analysis
D. Sornette, L. Knopoff, Y. Kagan, C. Vanneste (1995)
Rank‐ordering statistics of extreme events: Application to the distribution of large earthquakesJournal of Geophysical Research, 101
A. Koehler, E. Murphree (1988)
A Comparison of the Akaike and Schwarz Criteria for Selecting Model OrderApplied statistics, 37
N. Jaspen, Norman Draper, Harry Smith (1968)
Applied Regression AnalysisMathematics of Computation, 22
R. Quandt (1958)
The Estimation of the Parameters of a Linear Regression System Obeying Two Separate RegimesJournal of the American Statistical Association, 53
H. Akaike (1978)
A Bayesian analysis of the minimum AIC procedureAnnals of the Institute of Statistical Mathematics, 30
C. Renshaw, J. Park (1997)
Effect of mechanical interactions on the scaling of fracture length and apertureNature, 386
C. Hatton, I. Main, P. Meredith (1994)
Non-universal scaling of fracture length and opening displacementNature, 367
Scaling laws for fault and fracture populations : Introduction to the special issue
C. Scholz, P. Cowie (1990)
Determination of total strain from faulting using slip measurementsNature, 346
The scaling of displacement as a function of length is important for a variety of applications which depend on the mechanical and hydraulic properties of faults and fractures. Recently it has been suggested that the power‐law exponent ν which has been found to characterise this relationship may change significantly at a characteristic length for a variety of reasons, for example when cracks begin to interact, or when faults grow to a length comparable to a characteristic size in the brittle layer. Such a break of slope requires a second straight line, requiring two extra model parameters. Here we present a new method for analysing such data, which penalises the extra parameters using a modified form of Schwarz's Information Criterion, and a Bayesian approach which represents uncertainty in the unknown parameters. We apply the method to data from the Krafla fissure zone in the north of Iceland, and find a significant break of slope, from ν ≈ 3/2 to ν ≈ 2/3, at a characteristic length of 12m.
Geophysical Research Letters – Wiley
Published: Sep 15, 1999
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