Skip navigation
Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/6575
Title: Earthquake magnitude conversion problem
Authors: Das R.
Wason H.R.
Gonzalez G.
Sharma, Mukat Lal
Choudhury D.
Lindholm C.
Roy N.
Salazar P.
Published in: Bulletin of the Seismological Society of America
Abstract: General orthogonal regression (GOR) is a superior regression procedure for conversion of different magnitude types into preferred ones. It yields a linear relation between dependent (Yt) and independent variable (Xt) based on observed data (Xobs, Yobs). Recent investigations have shown that the conventional GOR procedure for obtaining Yt by substituting Xobs in the GOR relation is incorrect, because the error in Xobs introduces some bias in Yt. One way to reduce this bias in the Yt estimate is to use Xt (instead of Xobs) given by a standard linear regression (SLR) relation between Xt and Xobs. However, this approach does not have ease of application and does not permit statistical verification. Therefore, we propose a modified procedure in which the derived GOR relationship is used to develop a SLR relation directly between Yt and Xobs to estimate Yt for a given Xobs, thereby eliminating the need to estimate and substitute Xt. We verify the supremacy of the proposed GOR procedure over the conventional procedure (Xt replaced by Xobs) and the SLR procedure by using observed and synthetic datasets. We observe that the proposed GOR procedure provides an improved estimate of Yt compared with both the conventional GOR and SLR. The proposed GOR provides lower errors in slope and intercept compared with SLR and yields improved correlation coefficient (RXY) and standard error values as compared with the other two approaches. The newly developed GOR procedure with ? 1 provides the highest accuracy in Yt estimates as compared with the SLR and conventional GOR approaches. Our analysis also concludes that incorrect application of regression procedure can introduce a bias in the Gutenberg–Richter parameter b in the 5%–42% range. Therefore, we recommend the use of the proposed GOR to develop regression relations for earthquake magnitude conversions. © 2018, Seismological Society of America. All rights reserved.
Citation: Bulletin of the Seismological Society of America (2018), 108(4): 1995-2007
URI: https://doi.org/10.1785/0120170157
http://repository.iitr.ac.in/handle/123456789/6575
Issue Date: 2018
Publisher: Seismological Society of America
ISSN: 371106
Author Scopus IDs: 35784195400
6505940895
56013579600
7403269008
7103392045
7102070745
55643408100
8363774800
Author Affiliations: Das, R., Universidad Catolica del Norte, Avenida Angamos 0610, Antofagasta, Chile, National Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Región Metropolitana Santiago, Macul, La Florida, Chile
Wason, H.R., Earthquake Engineering Department, Indian Institute of Technology Roorkee, Haridwar, Uttarakhand 247667, India
Gonzalez, G., National Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Región Metropolitana Santiago, Macul, La Florida, Chile, Departamento de Ciencias Geológicas, Universidad Católica del Norte, Avenida Angamos 0610, Antofagasta, Chile
Sharma, M.L., Earthquake Engineering Department, Indian Institute of Technology Roorkee, Haridwar, Uttarakhand 247667, India
Choudhury, D., Civil Engineering Department, Indian Institute of Technology Bombay, Powai, Mumbai, Maharashtra 400076, India
Lindholm, C., Norsar, Gunnar Renders Vei 15, Kjeller, N 2007, Norway
Roy, N., Civil Engineering Department, Jadavpur University Kolkata, 188, Raja S.C. Mallick Road, Kolkata, West Bengal 700032, India
Salazar, P., National Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Región Metropolitana Santiago, Macul, La Florida, Chile, Departamento de Ciencias Geológicas, Universidad Católica del Norte, Avenida Angamos 0610, Antofagasta, Chile
Funding Details: The article has benefitted from funding by the FONDAP (Centro Nacional de investigation Para la Gestion Integrada de desastres Naturale [CIGIDEN]) 15110017 Grant. The authors are grateful to all three reviewers for their critical reviews and constructive suggestions, which helped improve technical content significantly. Authors are also thankful to the reviewers for helping in English language improvement. The authors are grateful to Associate Editor Allison Bent and Editor-in-Chief Thomas Pratt for their useful suggestions. Authors are also thankful to Kijko and Mathias for reading the first version of the article and their suggestions.
Corresponding Author: Das, R.; Universidad Catolica del Norte, Avenida Angamos 0610, Chile; email: ranjit244614@gmail.com
Appears in Collections:Journal Publications [EQ]

Files in This Item:
There are no files associated with this item.
Show full item record


Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.