DOI: 10.1029/2009jb006387. On the relationship between lower magnitude thresholds and bias in epidemic‐type aftershock sequence parameter estimates

On the relationship between lower magnitude thresholds and bias in epidemic‐type aftershock sequence parameter estimates

10.1029/2009jb006387

Crossref journal-article

American Geophysical Union (AGU)

Journal of Geophysical Research: Solid Earth (13)

Abstract

Modern earthquake catalogs are often described using spatial‐temporal point process models such as the epidemic‐type aftershock sequence (ETAS) models of Ogata (1998). Earthquake catalogs often have issues of incompleteness and other inaccuracies for earthquakes of magnitude below a certain threshold, and such earthquakes are typically removed prior to fitting a point process model. This paper investigates the bias in the parameters in ETAS models introduced by the removal of the smallest events. It is shown that in the case of most of the ETAS parameters, the bias increases approximately exponentially as a function of the lower magnitude cutoff.

Bibliography

Schoenberg, F. P., Chu, A., & Veen, A. (2010). On the relationship between lower magnitude thresholds and bias in epidemicâtype aftershock sequence parameter estimates. Journal of Geophysical Research: Solid Earth, 115(B4). Portico.

Authors 3

Frederic Paik Schoenberg (first)
Annie Chu (additional)
Alejandro Veen (additional)

References 22 Referenced 15

{'volume-title': 'Earthquakes', 'year': '1996', 'author': 'Bolt B.', 'key': 'e_1_2_6_2_1'} / Earthquakes by Bolt B. (1996)
{'volume-title': 'An Introduction to the Theory of Point Processes', 'year': '2003', 'author': 'Daley D.', 'key': 'e_1_2_6_3_1'} / An Introduction to the Theory of Point Processes by Daley D. (2003)
10.1111/j.2517-6161.1977.tb01600.x
10.1029/2004JB003247
10.1111/j.2517-6161.1971.tb01530.x / J. R. Stat. Soc., Ser. B / Point spectra of some mutually exciting point processes by Hawkes A. G. (1971)
10.1785/gssrl.73.6.921
10.1016/S0031‐9201(02)00214‐5
{'key': 'e_1_2_6_9_1', 'article-title': 'Earthquake patterns in diverse tectonic zones of the globe', 'author': 'Kagan Y. Y.', 'year': '2010', 'journal-title': 'Pure Appl. Geophys.'} / Pure Appl. Geophys. / Earthquake patterns in diverse tectonic zones of the globe by Kagan Y. Y. (2010)
10.1785/BSSA0870051220
10.1007/BF02480216
10.1109/TIT.1981.1056305
10.2307/2288914
10.1023/A:1003403601725
10.1029/2006JB004697
10.1016/j.tecto.2005.10.016
10.1785/gssrl.78.1.17
10.1029/2005JB003621
10.1029/2004JB003535
10.1198/016214508000000148
10.1007/s00024‐004‐2666‐3
10.1198/016214502760046925
10.1029/2003JB002879

Dates

Type	When
Created	15 years, 4 months ago (April 7, 2010, 4 p.m.)
Deposited	1 year, 3 months ago (May 14, 2024, 6:05 a.m.)
Indexed	1 month, 1 week ago (July 30, 2025, 6:28 a.m.)
Issued	15 years, 5 months ago (April 1, 2010)
Published	15 years, 5 months ago (April 1, 2010)
Published Online	15 years, 4 months ago (April 8, 2010)
Published Print	15 years, 5 months ago (April 1, 2010)

Funders 0

None

BibTeX

@article{Schoenberg_2010, title={On the relationship between lower magnitude thresholds and bias in epidemic‐type aftershock sequence parameter estimates}, volume={115}, ISSN={0148-0227}, url={http://dx.doi.org/10.1029/2009jb006387}, DOI={10.1029/2009jb006387}, number={B4}, journal={Journal of Geophysical Research: Solid Earth}, publisher={American Geophysical Union (AGU)}, author={Schoenberg, Frederic Paik and Chu, Annie and Veen, Alejandro}, year={2010}, month=apr }

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