Decustering , Rates, and b -values or Declustering : the Necessary Evil of Statistical Seismology

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Decustering, Rates, and b-values or ustering: the Necessary Evil of Statistical Seismol Andy Michael

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Decustering , Rates, and b -values or Declustering : the Necessary Evil of Statistical Seismology. Andy Michael. Gardner and Knopoff Declustering. Method: Gardner and Knopoff (BSSA, 1974): Magnitude-dependent spatial circles and time windows - PowerPoint PPT Presentation

Transcript of Decustering , Rates, and b -values or Declustering : the Necessary Evil of Statistical Seismology

Page 1: Decustering , Rates, and  b -values or Declustering : the Necessary Evil of Statistical Seismology

Decustering, Rates, and b-valuesor

Declustering: the Necessary Evil of Statistical Seismology

Andy Michael

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Gardner and Knopoff DeclusteringMethod:

Gardner and Knopoff (BSSA, 1974):Magnitude-dependent spatial circles and time windows

Problem: Spatial circles too small for large earthquakesSolution: Use radii based on fault rupture lengths from

Wells and Coppersmith (BSSA, 1994)

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Christophersen et al. Declustering Radii Choices

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SCSN M≥2 1984-2010 Radii = Uhrhammer ΔT = 1 day

Nmain=32490, p=0

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SCSN M≥2 1984-2010 Radii = G-K ΔT = 1 day

Nmain=26992, p=3*10^-7

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SCSN M≥2 1984-2010 Radii = G-K ΔT = 3 days

Nmain=19494, p=0.002

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SCSN M≥2 1984-2010 Radii = G-K ΔT = 7 days

Nmain=12892, p=0.56

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SCSN M≥2 1984-2010 Radii = G-K ΔT = 100 days

Nmain=1185, p=0.89

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N=79661

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N=13529

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N=8124

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Issues for UCERF3:Decluster and then estimate rates orEstimate rates using an ETAS model directly.

If declustering then which method or how many methods?

National Maps use Gardner-Knopoff which lowers b-valueETAS uses the same b-value for background and clusters

Could decluster with a stochastic ETAS approach and maintainthe same b-value, good for ETAS but bad for National Maps

Could decluster with Gardner-Knopoff and then do ETASwith a different magnitude-frequency distributionthat combines to the correct total distribution.

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