HR: 1340h
AN: S23A-0302 [Abstracts]
TI: Tossing the Earth: How to Reliably Test Earthquake Prediction Methods
AU: * Zaliapin, I
EM: zal@ess.ucla.edu
AF: Institute of Geophysics and Planetary Physics, 3845 Slichter Hall
University of California, Los Angeles, CA 90095
United States
AU: Molchan, G
EM: molchan@mitp.ru
AF: International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Warshavskoe sh.,
79, korp. 2, Moscow, 113556
Russian Federation
AB:
One of the most consequential issues of the earthquake prediction problem is reliable testing of hypothetical prediction
methods. The danger of self-deception by data overfitting here is especially high due to both the scarceness of large
earthquakes and the absence of a conventional wide-reaching theoretical framework. This talk gives an overview of the methods
currently employed to test prediction algorithms and bridges the commonly accepted approaches to the problem.
The main focus is on the two most widely used approaches to assessing prediction methods. Both of them evaluate the amount of
new information revealed by the prediction method about the impending earthquake activity. The first one starts by
estimating the expected spatio-temporal distribution of seismicity, and uses the classical likelihood paradigm to evaluate
the prediction power. Accordingly, it uses the nomenclature of statistical estimation. The second one applies results of G.
Molchan [Pure Appl. Geophys., 149: 233-247, 1997] that can be considered as a time-dependent analog of the Neyman-Pearson
lemma to make a decision whether or not to expect an earthquake within a given spatio-temporal region. Accordingly, it uses
the nomenclature of hypothesis testing. Importantly, this approach does not require the explicit knowledge of the earthquake
hazard rate; in other words, the correct decision can be made with the realistically imprecise data.
We discuss how the choice of the assessment method depends on a specific prediction situation using the outcomes of real-time
prediction experiments. The best choice happened to depend crucially on the specifics of the prediction problem: set of
target earthquakes; prediction time-span, resolution, etc.
DE: 7223 Seismic hazard assessment and prediction
DE: 7200 SEISMOLOGY
DE: 3200 MATHEMATICAL GEOPHYSICS (New field)
SC: Seismology [S]
MN: 2004 AGU Fall Meeting