A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time

Abstract Using the order parameter of seismicity defined in natural time, we suggest a simple model for the explanation of Båth law, according to which a mainshock differs in magnitude from its largest aftershock by approximately 1.2 regardless of the mainshock magnitude. In addition, the validity o...

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Main Authors: Konstantina A. Papadopoulou, Efthimios S. Skordas, Nicholas V. Sarlis
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2016-11-01
Series:Earthquake Science
Subjects:
Online Access:http://link.springer.com/article/10.1007/s11589-016-0171-2
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author Konstantina A. Papadopoulou
Efthimios S. Skordas
Nicholas V. Sarlis
author_facet Konstantina A. Papadopoulou
Efthimios S. Skordas
Nicholas V. Sarlis
author_sort Konstantina A. Papadopoulou
collection DOAJ
description Abstract Using the order parameter of seismicity defined in natural time, we suggest a simple model for the explanation of Båth law, according to which a mainshock differs in magnitude from its largest aftershock by approximately 1.2 regardless of the mainshock magnitude. In addition, the validity of Båth law is studied in the Global Centroid Moment Tensor catalogue by using two different aftershock definitions. It is found that the mean of this difference, when considering all the pairs mainshock-largest aftershock, does not markedly differ from 1.2 and the corresponding distributions do not depend on the mainshock’s magnitude threshold in a statistically significant manner. Finally, the analysis of the cumulative distribution functions provides evidence in favour of the proposed model.
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spelling doaj.art-5b36fbd55ce944c4be9240ccaf29b1fa2023-01-02T20:04:46ZengKeAi Communications Co., Ltd.Earthquake Science1674-45191867-87772016-11-0129631131910.1007/s11589-016-0171-2A tentative model for the explanation of Båth law using the order parameter of seismicity in natural timeKonstantina A. Papadopoulou0Efthimios S. Skordas1Nicholas V. Sarlis2Section of Solid State Physics, Department of Physics, School of Science, National and Kapodistrian University of AthensSection of Solid State Physics, Department of Physics, School of Science, National and Kapodistrian University of AthensSection of Solid State Physics, Department of Physics, School of Science, National and Kapodistrian University of AthensAbstract Using the order parameter of seismicity defined in natural time, we suggest a simple model for the explanation of Båth law, according to which a mainshock differs in magnitude from its largest aftershock by approximately 1.2 regardless of the mainshock magnitude. In addition, the validity of Båth law is studied in the Global Centroid Moment Tensor catalogue by using two different aftershock definitions. It is found that the mean of this difference, when considering all the pairs mainshock-largest aftershock, does not markedly differ from 1.2 and the corresponding distributions do not depend on the mainshock’s magnitude threshold in a statistically significant manner. Finally, the analysis of the cumulative distribution functions provides evidence in favour of the proposed model.http://link.springer.com/article/10.1007/s11589-016-0171-2Båth lawAftershocksOrder parameterNatural time
spellingShingle Konstantina A. Papadopoulou
Efthimios S. Skordas
Nicholas V. Sarlis
A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time
Earthquake Science
Båth law
Aftershocks
Order parameter
Natural time
title A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time
title_full A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time
title_fullStr A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time
title_full_unstemmed A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time
title_short A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time
title_sort tentative model for the explanation of bath law using the order parameter of seismicity in natural time
topic Båth law
Aftershocks
Order parameter
Natural time
url http://link.springer.com/article/10.1007/s11589-016-0171-2
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