Unified scaling law for earthquakes

Unified scaling law for earthquakes

We propose and verify a unified scaling law that provides a framework for viewing the probability of the occurrence of earthquakes in a given region and for a given cutoff magnitude. The law shows that earthquakes occur in hierarchical correlated clusters, which overlap with other spatially separate...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS 2002-02, Vol.99 (Suppl 1), p.2509-2513
Hauptverfasser: Christensen, Kim, Danon, Leon, Scanlon, Tim, Bak, Per
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 2513
container_issue Suppl 1
container_start_page 2509
container_title Proceedings of the National Academy of Sciences - PNAS
container_volume 99
creator Christensen, Kim
Danon, Leon
Scanlon, Tim
Bak, Per
description We propose and verify a unified scaling law that provides a framework for viewing the probability of the occurrence of earthquakes in a given region and for a given cutoff magnitude. The law shows that earthquakes occur in hierarchical correlated clusters, which overlap with other spatially separated correlated clusters for large enough time periods and areas. For a small enough region and time-scale, only a single correlated group can be sampled. The law links together the Gutenberg–Richter Law, the Omori Law of aftershocks, and the fractal dimensions of the faults. The Omori Law is shown to be the short time limit of general hierarchical phenomenon containing the statistics of both “main shocks” and “aftershocks,” indicating that they are created by the same mechanism.
doi_str_mv 10.1073/pnas.012581099
format Article
fullrecord <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_pubmed_primary_11875203</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>71501737</sourcerecordid><originalsourceid>FETCH-LOGICAL-c479t-1cc2da4014250c6a99dc48862e752c923f9a079ce9d5489b75548c3dfb2a4cf93</originalsourceid><addsrcrecordid>eNpVkD1PwzAQhi0EoqWwMqJIldhSzo4d-wYGVPElVWKhs-U6ThtIkzROQPx7EjUUmN7hnvfu9BBySWFGQUY3VWH8DCgTigLiERl3QcOYIxyTMQCToeKMj8iZ928AgELBKRlRqqRgEI3JdFlkaeaSwFuTZ8U6yM1nkJZ14EzdbHateXf-nJykJvfuYsgJWT7cv86fwsXL4_P8bhFaLrEJqbUsMRwoZwJsbBATy5WKmetuWWRRigYkWoeJ4ApXUnRhoyRdMcNtitGE3O73Vu1q6xLriqY2ua7qbGvqL12aTP-fFNlGr8sPTZkScd-_Hvp1uWudb_Q289bluSlc2XotqQAqI9mBsz1o69L72qWHGxR0r1X3WvVBa1e4-vvZLz547IDpAPTFnzGi9m1V5ZrqTglG37mff-w</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>71501737</pqid></control><display><type>article</type><title>Unified scaling law for earthquakes</title><source>Jstor Complete Legacy</source><source>PubMed Central</source><source>Alma/SFX Local Collection</source><source>Free Full-Text Journals in Chemistry</source><creator>Christensen, Kim ; Danon, Leon ; Scanlon, Tim ; Bak, Per</creator><creatorcontrib>Christensen, Kim ; Danon, Leon ; Scanlon, Tim ; Bak, Per</creatorcontrib><description>We propose and verify a unified scaling law that provides a framework for viewing the probability of the occurrence of earthquakes in a given region and for a given cutoff magnitude. The law shows that earthquakes occur in hierarchical correlated clusters, which overlap with other spatially separated correlated clusters for large enough time periods and areas. For a small enough region and time-scale, only a single correlated group can be sampled. The law links together the Gutenberg–Richter Law, the Omori Law of aftershocks, and the fractal dimensions of the faults. The Omori Law is shown to be the short time limit of general hierarchical phenomenon containing the statistics of both “main shocks” and “aftershocks,” indicating that they are created by the same mechanism.</description><identifier>ISSN: 0027-8424</identifier><identifier>EISSN: 1091-6490</identifier><identifier>DOI: 10.1073/pnas.012581099</identifier><identifier>PMID: 11875203</identifier><language>eng</language><publisher>United States: National Acad Sciences</publisher><ispartof>Proceedings of the National Academy of Sciences - PNAS, 2002-02, Vol.99 (Suppl 1), p.2509-2513</ispartof><rights>Copyright © 2002, The National Academy of Sciences 2002</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c479t-1cc2da4014250c6a99dc48862e752c923f9a079ce9d5489b75548c3dfb2a4cf93</citedby><cites>FETCH-LOGICAL-c479t-1cc2da4014250c6a99dc48862e752c923f9a079ce9d5489b75548c3dfb2a4cf93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://www.pnas.org/content/99/Suppl%201.cover.gif</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC128569/pdf/$$EPDF$$P50$$Gpubmedcentral$$H</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC128569/$$EHTML$$P50$$Gpubmedcentral$$H</linktohtml><link.rule.ids>230,314,724,777,781,882,27905,27906,53772,53774</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/11875203$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Christensen, Kim</creatorcontrib><creatorcontrib>Danon, Leon</creatorcontrib><creatorcontrib>Scanlon, Tim</creatorcontrib><creatorcontrib>Bak, Per</creatorcontrib><title>Unified scaling law for earthquakes</title><title>Proceedings of the National Academy of Sciences - PNAS</title><addtitle>Proc Natl Acad Sci U S A</addtitle><description>We propose and verify a unified scaling law that provides a framework for viewing the probability of the occurrence of earthquakes in a given region and for a given cutoff magnitude. The law shows that earthquakes occur in hierarchical correlated clusters, which overlap with other spatially separated correlated clusters for large enough time periods and areas. For a small enough region and time-scale, only a single correlated group can be sampled. The law links together the Gutenberg–Richter Law, the Omori Law of aftershocks, and the fractal dimensions of the faults. The Omori Law is shown to be the short time limit of general hierarchical phenomenon containing the statistics of both “main shocks” and “aftershocks,” indicating that they are created by the same mechanism.</description><issn>0027-8424</issn><issn>1091-6490</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNpVkD1PwzAQhi0EoqWwMqJIldhSzo4d-wYGVPElVWKhs-U6ThtIkzROQPx7EjUUmN7hnvfu9BBySWFGQUY3VWH8DCgTigLiERl3QcOYIxyTMQCToeKMj8iZ928AgELBKRlRqqRgEI3JdFlkaeaSwFuTZ8U6yM1nkJZ14EzdbHateXf-nJykJvfuYsgJWT7cv86fwsXL4_P8bhFaLrEJqbUsMRwoZwJsbBATy5WKmetuWWRRigYkWoeJ4ApXUnRhoyRdMcNtitGE3O73Vu1q6xLriqY2ua7qbGvqL12aTP-fFNlGr8sPTZkScd-_Hvp1uWudb_Q289bluSlc2XotqQAqI9mBsz1o69L72qWHGxR0r1X3WvVBa1e4-vvZLz547IDpAPTFnzGi9m1V5ZrqTglG37mff-w</recordid><startdate>20020219</startdate><enddate>20020219</enddate><creator>Christensen, Kim</creator><creator>Danon, Leon</creator><creator>Scanlon, Tim</creator><creator>Bak, Per</creator><general>National Acad Sciences</general><general>National Academy of Sciences</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>20020219</creationdate><title>Unified scaling law for earthquakes</title><author>Christensen, Kim ; Danon, Leon ; Scanlon, Tim ; Bak, Per</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c479t-1cc2da4014250c6a99dc48862e752c923f9a079ce9d5489b75548c3dfb2a4cf93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Christensen, Kim</creatorcontrib><creatorcontrib>Danon, Leon</creatorcontrib><creatorcontrib>Scanlon, Tim</creatorcontrib><creatorcontrib>Bak, Per</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Proceedings of the National Academy of Sciences - PNAS</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Christensen, Kim</au><au>Danon, Leon</au><au>Scanlon, Tim</au><au>Bak, Per</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Unified scaling law for earthquakes</atitle><jtitle>Proceedings of the National Academy of Sciences - PNAS</jtitle><addtitle>Proc Natl Acad Sci U S A</addtitle><date>2002-02-19</date><risdate>2002</risdate><volume>99</volume><issue>Suppl 1</issue><spage>2509</spage><epage>2513</epage><pages>2509-2513</pages><issn>0027-8424</issn><eissn>1091-6490</eissn><abstract>We propose and verify a unified scaling law that provides a framework for viewing the probability of the occurrence of earthquakes in a given region and for a given cutoff magnitude. The law shows that earthquakes occur in hierarchical correlated clusters, which overlap with other spatially separated correlated clusters for large enough time periods and areas. For a small enough region and time-scale, only a single correlated group can be sampled. The law links together the Gutenberg–Richter Law, the Omori Law of aftershocks, and the fractal dimensions of the faults. The Omori Law is shown to be the short time limit of general hierarchical phenomenon containing the statistics of both “main shocks” and “aftershocks,” indicating that they are created by the same mechanism.</abstract><cop>United States</cop><pub>National Acad Sciences</pub><pmid>11875203</pmid><doi>10.1073/pnas.012581099</doi><tpages>5</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0027-8424
ispartof Proceedings of the National Academy of Sciences - PNAS, 2002-02, Vol.99 (Suppl 1), p.2509-2513
issn 0027-8424
1091-6490
language eng
recordid cdi_pubmed_primary_11875203
source Jstor Complete Legacy; PubMed Central; Alma/SFX Local Collection; Free Full-Text Journals in Chemistry
title Unified scaling law for earthquakes
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T20%3A59%3A29IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Unified%20scaling%20law%20for%20earthquakes&rft.jtitle=Proceedings%20of%20the%20National%20Academy%20of%20Sciences%20-%20PNAS&rft.au=Christensen,%20Kim&rft.date=2002-02-19&rft.volume=99&rft.issue=Suppl%201&rft.spage=2509&rft.epage=2513&rft.pages=2509-2513&rft.issn=0027-8424&rft.eissn=1091-6490&rft_id=info:doi/10.1073/pnas.012581099&rft_dat=%3Cproquest_pubme%3E71501737%3C/proquest_pubme%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=71501737&rft_id=info:pmid/11875203&rfr_iscdi=true