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Pareto Models for the Energy Released in Earthquakes

2020-05-18Journal article Open access
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datacite.subject.fosEngenharia e Tecnologia::Outras Engenharias e Tecnologias
datacite.subject.fosEngenharia e Tecnologia::Engenharia Eletrotécnica, Eletrónica e Informática
datacite.subject.sdg08:Trabalho Digno e Crescimento Económico
datacite.subject.sdg10:Reduzir as Desigualdades
datacite.subject.sdg12:Produção e Consumo Sustentáveis
dc.contributor.authorFelgueiras, Miguel
dc.contributor.authorSantos, Rui
dc.contributor.authorMartins, João Paulo
dc.date.accessioned2025-10-14T09:58:42Z
dc.date.available2025-10-14T09:58:42Z
dc.date.issued2020-05-18
dc.description.abstractIn this paper we explore Pareto based distributions to deal with the energy released by the major seisms. This is a relevant problem because great earthquakes can cause heavy losses, both human and material. The standard Pareto distribution, despite being usually well fitted to the data concerning the energy released by seisms, reveals some lack of fit when dealing with the energy released by the great earthquakes. Besides the more traditional Pareto and Log-Pareto, we also consider the Extended Slash Pareto (ESP) and the Location-Scale Pareto Mixture (LSPM) distributions in this work. For the less studied ESP and LSPM distributions, we present the parameters estimators and perform a simulation study in order to evaluate the estimators performance under different scenarios. Thenceforth, the four distributions are applied to two datasets (catalogs) containing information on the seisms magnitude, which has a direct connection to the energy released by the earthquakes (seismic moment). The used catalogs are considered as conveniently accurate and updated, and are being used in recent works. In conclusion, the Pareto distribution still is appropriate to fit this kind of data, but other distributions emerge as better models. The Log-Pareto distributions led to higher fitting p-values than the Pareto distribution, and LSPM also emerges as a strong competitor. LSPM is better fitted to the greatest observations and therefore gives a more accurate prevision for the energy released by the greater earthquakes.eng
dc.description.sponsorshipFunded by FCT - Fundação para a Ciência e a Tecnologia through the project UIDB/00006/2020.
dc.identifier.citationMiguel Felgueiras, Rui Santos, Joao Paulo Martins, "Pareto Models for the Energy Released in Earthquakes," WSEAS Transactions on Power Systems, vol. 15, pp. 94-102, 2020, DOI: https://doi.org/10.37394/232016.2020.15.11.
dc.identifier.doi10.37394/232016.2020.15.11
dc.identifier.eissn2224-350X
dc.identifier.issn1790-5060
dc.identifier.urihttp://hdl.handle.net/10400.8/14254
dc.language.isoeng
dc.peerreviewedyes
dc.publisherWorld Scientific and Engineering Academy and Society (WSEAS)
dc.relationCentre of Statistics and its Applications
dc.relation.hasversionhttps://wseas.com/journals/articles.php?id=1157
dc.relation.ispartofWSEAS TRANSACTIONS ON POWER SYSTEMS
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectPareto based models
dc.subjectgreat earthquakes
dc.subjectseismic moment
dc.titlePareto Models for the Energy Released in Earthquakeseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCentre of Statistics and its Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00006%2F2020/PT
oaire.citation.endPage102
oaire.citation.startPage94
oaire.citation.titleWSEAS Transactions on Power Systems
oaire.citation.volume15
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameFelgueiras
person.familyNameSantos
person.familyNameOliveira Martins
person.givenNameMiguel
person.givenNameRui
person.givenNameJoão Paulo
person.identifier1051057
person.identifier.ciencia-id0F1B-DE05-36E5
person.identifier.ciencia-id7610-8B27-8044
person.identifier.orcid0000-0001-5450-7374
person.identifier.orcid0000-0002-7371-363X
person.identifier.orcid0000-0002-0474-1397
person.identifier.ridM-8134-2019
person.identifier.ridC-1873-2015
person.identifier.scopus-author-id50861001200
person.identifier.scopus-author-id56979441000
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
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In this paper we explore Pareto based distributions to deal with the energy released by the major seisms. This is a relevant problem because great earthquakes can cause heavy losses, both human and material. The standard Pareto distribution, despite being usually well fitted to the data concerning the energy released by seisms, reveals some lack of fit when dealing with the energy released by the great earthquakes. Besides the more traditional Pareto and Log-Pareto, we also consider the Extended Slash Pareto (ESP) and the Location-Scale Pareto Mixture (LSPM) distributions in this work. For the less studied ESP and LSPM distributions, we present the parameters estimators and perform a simulation study in order to evaluate the estimators performance under different scenarios. Thenceforth, the four distributions are applied to two datasets (catalogs) containing information on the seisms magnitude, which has a direct connection to the energy released by the earthquakes (seismic moment). The used catalogs are considered as conveniently accurate and updated, and are being used in recent works. In conclusion, the Pareto distribution still is appropriate to fit this kind of data, but other distributions emerge as better models. The Log-Pareto distributions led to higher fitting p-values than the Pareto distribution, and LSPM also emerges as a strong competitor. LSPM is better fitted to the greatest observations and therefore gives a more accurate prevision for the energy released by the greater earthquakes.
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