{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1362825894868684288.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1029/2003gl018186"}},{"identifier":{"@type":"URI","@value":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2003GL018186"}},{"identifier":{"@type":"URI","@value":"https://onlinelibrary.wiley.com/doi/pdf/10.1029/2003GL018186"}},{"identifier":{"@type":"URI","@value":"https://onlinelibrary.wiley.com/doi/full-xml/10.1029/2003GL018186"}},{"identifier":{"@type":"URI","@value":"https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2003GL018186"}}],"dc:title":[{"@value":"Båth's law derived from the Gutenberg‐Richter law and from aftershock properties"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>The empirical Båth's law states that the average difference in magnitude between a mainshock and its largest aftershock is 1.2, regardless of the mainshock magnitude. Following <jats:ext-link xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"#grl17402-bib-0013\"><jats:italic>Vere‐Jones</jats:italic>' [1969]</jats:ext-link> and <jats:ext-link xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"#grl17402-bib-0002\"><jats:italic>Console et al.</jats:italic> [2003]</jats:ext-link>, we show that the origin of Båth's law is to be found in the selection procedure used to define mainshocks and aftershocks rather than in any difference in the mechanisms controlling the magnitude of the mainshock and of the aftershocks. We use the ETAS model of seismicity, which provides a more realistic model of aftershocks, based on (i) a universal Gutenberg‐Richter (GR) law for all earthquakes, and on (ii) the increase of the number of aftershocks with the mainshock magnitude. Using numerical simulations of the ETAS model, we show that this model is in good agreement with Båth's law in a certain range of the model parameters.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1382825894868684289","@type":"Researcher","foaf:name":[{"@value":"Agnès Helmstetter"}],"jpcoar:affiliationName":[{"@value":"Institute of Geophysics and Planetary Physics University of California  Los Angeles California USA"}]},{"@id":"https://cir.nii.ac.jp/crid/1382825894868684288","@type":"Researcher","foaf:name":[{"@value":"Didier Sornette"}],"jpcoar:affiliationName":[{"@value":"Institute of Geophysics and Planetary Physics University of California  Los Angeles California USA"},{"@value":"Department of Earth and Space Sciences University of California  Los Angeles California USA"},{"@value":"Laboratoire de Physique de la Matière Condensée CNRS UMR 6622 Université de Nice‐Sophia Antipolis, Parc Valrose  Nice France"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00948276"},{"@type":"EISSN","@value":"19448007"}],"prism:publicationName":[{"@value":"Geophysical Research Letters"}],"dc:publisher":[{"@value":"American Geophysical Union (AGU)"}],"prism:publicationDate":"2003-10","prism:volume":"30","prism:number":"20","prism:startingPage":"2069"},"reviewed":"false","dc:rights":["http://onlinelibrary.wiley.com/termsAndConditions#vor"],"url":[{"@id":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1029%2F2003GL018186"},{"@id":"https://onlinelibrary.wiley.com/doi/pdf/10.1029/2003GL018186"},{"@id":"https://onlinelibrary.wiley.com/doi/full-xml/10.1029/2003GL018186"},{"@id":"https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2003GL018186"}],"createdAt":"2003-10-29","modifiedAt":"2023-09-06","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360002216706116224","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Decay of aftershock activity for Japanese earthquakes"}]},{"@id":"https://cir.nii.ac.jp/crid/1360016870539482880","@type":"Article","resourceType":"preprint","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Bayesian updating on time intervals at different magnitude thresholds in a marked point process and its application to synthetic seismic activity"}]},{"@id":"https://cir.nii.ac.jp/crid/1360285708267114624","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Cumulative rate analysis (CURATE): A clustering algorithm for swarm dominated catalogs"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567184543708160","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Constraining the magnitude of the largest event in a foreshock–main shock–aftershock sequence"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567184984493184","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Properties of the probability distribution associated with the largest event in an earthquake cluster and their implications to foreshocks"}]},{"@id":"https://cir.nii.ac.jp/crid/1360846642763652608","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Stability of earthquake clustering models: Criticality and branching ratios"}]},{"@id":"https://cir.nii.ac.jp/crid/2051151842042471296","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Variations in precursory slip behavior resulting from frictional heterogeneity"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1029/2003gl018186"},{"@type":"CROSSREF","@value":"10.1029/2006jb004754_references_DOI_FQfIH2AJjMRNm2nJNFTH0IYzbGk"},{"@type":"CROSSREF","@value":"10.1029/2012jb009222_references_DOI_FQfIH2AJjMRNm2nJNFTH0IYzbGk"},{"@type":"CROSSREF","@value":"10.1093/gji/ggx407_references_DOI_FQfIH2AJjMRNm2nJNFTH0IYzbGk"},{"@type":"CROSSREF","@value":"10.1103/physreve.73.046134_references_DOI_FQfIH2AJjMRNm2nJNFTH0IYzbGk"},{"@type":"CROSSREF","@value":"10.7566/jpsj.93.024001_references_DOI_FQfIH2AJjMRNm2nJNFTH0IYzbGk"},{"@type":"CROSSREF","@value":"10.1103/physreve.88.062109_references_DOI_FQfIH2AJjMRNm2nJNFTH0IYzbGk"},{"@type":"CROSSREF","@value":"10.1186/s40645-018-0201-x_references_DOI_FQfIH2AJjMRNm2nJNFTH0IYzbGk"}]}