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Earthquake Magnitude Conversion Problem

2018; Seismological Society of America; Volume: 108; Issue: 4 Linguagem: Inglês

10.1785/0120170157

1943-3573

Ranjit Das, H. R. Wason, Gabriel González, M. L. Sharma, Deepankar Choudhury, Conrad Lindholm, Narayan Roy, Pablo Salazar,

Earthquake Detection and Analysis

Research Article| April 17, 2018 Earthquake Magnitude Conversion Problem Ranjit Das; Ranjit Das aNational Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Macul, La Florida, Región Metropolitana Santiago, Chile, ranjit244614@gmail.comgAlso at Universidad Catolica del Norte, Avenida Angamos 0610, Antofagasta, Chile. Search for other works by this author on: GSW Google Scholar H. R. Wason; H. R. Wason bEarthquake Engineering Department, Indian Institute of Technology Roorkee, Haridwar 247667, Uttarakhand, India Search for other works by this author on: GSW Google Scholar Gabriel Gonzalez; Gabriel Gonzalez cDepartamento de Ciencias Geológicas, Universidad Católica del Norte, Avenida Angamos 0610, Antofagasta, ChilehAlso at National Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Macul, La Florida, Región Metropolitana Santiago, Chile. Search for other works by this author on: GSW Google Scholar M. L. Sharma; M. L. Sharma bEarthquake Engineering Department, Indian Institute of Technology Roorkee, Haridwar 247667, Uttarakhand, India Search for other works by this author on: GSW Google Scholar Deepankar Choudhury; Deepankar Choudhury dCivil Engineering Department, Indian Institute of Technology Bombay, Powai, Mumbai 400076, Maharashtra, India Search for other works by this author on: GSW Google Scholar Conrad Lindholm; Conrad Lindholm eNorsar Gunnar, Renders Vei, 15N 2007 Kjeller, Norway Search for other works by this author on: GSW Google Scholar Narayan Roy; Narayan Roy fCivil Engineering Department, Jadavpur University Kolkata, 188, Raja S.C. Mallick Road, Kolkata 700032, West Bengal, India Search for other works by this author on: GSW Google Scholar Pablo Salazar Pablo Salazar cDepartamento de Ciencias Geológicas, Universidad Católica del Norte, Avenida Angamos 0610, Antofagasta, ChilehAlso at National Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Macul, La Florida, Región Metropolitana Santiago, Chile. Search for other works by this author on: GSW Google Scholar Author and Article Information Ranjit Das aNational Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Macul, La Florida, Región Metropolitana Santiago, Chile, ranjit244614@gmail.comgAlso at Universidad Catolica del Norte, Avenida Angamos 0610, Antofagasta, Chile. H. R. Wason bEarthquake Engineering Department, Indian Institute of Technology Roorkee, Haridwar 247667, Uttarakhand, India Gabriel Gonzalez cDepartamento de Ciencias Geológicas, Universidad Católica del Norte, Avenida Angamos 0610, Antofagasta, ChilehAlso at National Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Macul, La Florida, Región Metropolitana Santiago, Chile. M. L. Sharma bEarthquake Engineering Department, Indian Institute of Technology Roorkee, Haridwar 247667, Uttarakhand, India Deepankar Choudhury dCivil Engineering Department, Indian Institute of Technology Bombay, Powai, Mumbai 400076, Maharashtra, India Conrad Lindholm eNorsar Gunnar, Renders Vei, 15N 2007 Kjeller, Norway Narayan Roy fCivil Engineering Department, Jadavpur University Kolkata, 188, Raja S.C. Mallick Road, Kolkata 700032, West Bengal, India Pablo Salazar cDepartamento de Ciencias Geológicas, Universidad Católica del Norte, Avenida Angamos 0610, Antofagasta, ChilehAlso at National Research Center for Integrated Natural Disaster Management, Avenue Vicuña Mackenna 4860, Macul, La Florida, Región Metropolitana Santiago, Chile. Publisher: Seismological Society of America First Online: 26 Jul 2018 Online Issn: 1943-3573 Print Issn: 0037-1106 © Seismological Society of America Bulletin of the Seismological Society of America (2018) 108 (4): 1995–2007. https://doi.org/10.1785/0120170157 Article history First Online: 26 Jul 2018 Cite View This Citation Add to Citation Manager Share Icon Share Facebook Twitter LinkedIn MailTo Tools Icon Tools Get Permissions Search Site Citation Ranjit Das, H. R. Wason, Gabriel Gonzalez, M. L. Sharma, Deepankar Choudhury, Conrad Lindholm, Narayan Roy, Pablo Salazar; Earthquake Magnitude Conversion Problem. Bulletin of the Seismological Society of America 2018;; 108 (4): 1995–2007. doi: https://doi.org/10.1785/0120170157 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietyBulletin of the Seismological Society of America Search Advanced Search 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 η=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. You do not have access to this content, please speak to your institutional administrator if you feel you should have access.