Proposal of the spatial dependence evaluation from the power semivariogram model

In Geostatistics, the use of measurement to describe the spatial dependence of the attribute is of great importance, but only some models (which have second-order stationarity) are considered with such measurement. Thus, this paper aims to propose measurements to assess the degree of spatial depende...

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Authors: Barbosa, Ismael Canabarro, Appel Neto, Edemar, Seidel, Enio Júnior, Oliveira, Marcelo Silva de
Format: article
Status:Published version
Publication Date:2017
Country:Brasil
Institution:Universidade Federal de Lavras (UFLA)
Repository:Repositório Institucional da UFLA
Language:English
OAI Identifier:oai:repositorio.ufla.br:1/37002
Online Access:https://repositorio.ufla.br/handle/1/37002
Access Level:Open access
Keyword:Geostatistics
Variographic analysis
Semivariogram model
Spatial dependence indexes
Geoestatística
Análise variográfica
Modelo de semivariograma
Índices de dependência espacial
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network_acronym_str BR
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dc.title.pt_BR.fl_str_mv Proposal of the spatial dependence evaluation from the power semivariogram model
dc.title.alternative.pt_BR.fl_str_mv Proposta de avaliação da dependência espacial a partir do modelo de semivariograma potência
title Proposal of the spatial dependence evaluation from the power semivariogram model
spellingShingle Proposal of the spatial dependence evaluation from the power semivariogram model
Barbosa, Ismael Canabarro
Geostatistics
Variographic analysis
Semivariogram model
Spatial dependence indexes
Geoestatística
Análise variográfica
Modelo de semivariograma
Índices de dependência espacial
title_short Proposal of the spatial dependence evaluation from the power semivariogram model
title_full Proposal of the spatial dependence evaluation from the power semivariogram model
title_fullStr Proposal of the spatial dependence evaluation from the power semivariogram model
title_full_unstemmed Proposal of the spatial dependence evaluation from the power semivariogram model
title_sort Proposal of the spatial dependence evaluation from the power semivariogram model
dc.creator.none.fl_str_mv Barbosa, Ismael Canabarro
Appel Neto, Edemar
Seidel, Enio Júnior
Oliveira, Marcelo Silva de
author Barbosa, Ismael Canabarro
author_facet Barbosa, Ismael Canabarro
Appel Neto, Edemar
Seidel, Enio Júnior
Oliveira, Marcelo Silva de
author_role author
author2 Appel Neto, Edemar
Seidel, Enio Júnior
Oliveira, Marcelo Silva de
author2_role author
author
author
dc.subject.por.fl_str_mv Geostatistics
Variographic analysis
Semivariogram model
Spatial dependence indexes
Geoestatística
Análise variográfica
Modelo de semivariograma
Índices de dependência espacial
topic Geostatistics
Variographic analysis
Semivariogram model
Spatial dependence indexes
Geoestatística
Análise variográfica
Modelo de semivariograma
Índices de dependência espacial
description In Geostatistics, the use of measurement to describe the spatial dependence of the attribute is of great importance, but only some models (which have second-order stationarity) are considered with such measurement. Thus, this paper aims to propose measurements to assess the degree of spatial dependence in power model adjustment phenomena. From a premise that considers the equivalent sill as the estimated semivariance value that matches the point where the adjusted power model curves intersect, it is possible to build two indexes to evaluate such dependence. The first one, SPD * , is obtained from the relation between the equivalent contribution (α) and the equivalent sill (C * = C 0 + α), and varies from 0 to 100% (based on the calculation of spatial dependence areas). The second one, SDI * , beyond the previous relation, considers the equivalent factor of model (FM * ), which depends on the exponent β that describes the force of spatial dependence in the power model (based on spatial correlation areas). The SDI * ,for β close to 2, assumes its larger scale, varying from 0 to 66.67%. Both indexes have symmetrical distribution, and allow the classification of spatial dependence in weak, moderate and strong.
publishDate 2017
dc.date.issued.fl_str_mv 2017-09
dc.date.accessioned.fl_str_mv 2019-09-30T16:50:47Z
dc.date.available.fl_str_mv 2019-09-30T16:50:47Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.citation.fl_str_mv BARBOSA, I. C. et al. Proposal of the spatial dependence evaluation from the power semivariogram model. Boletim de Ciências Geodésicas, Curitiba, v. 23, n. 3, p. 461-475, July/Sept. 2017. DOI: 10.1590/s1982-21702017000200031.
dc.identifier.uri.fl_str_mv https://repositorio.ufla.br/handle/1/37002
identifier_str_mv BARBOSA, I. C. et al. Proposal of the spatial dependence evaluation from the power semivariogram model. Boletim de Ciências Geodésicas, Curitiba, v. 23, n. 3, p. 461-475, July/Sept. 2017. DOI: 10.1590/s1982-21702017000200031.
url https://repositorio.ufla.br/handle/1/37002
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal do Paraná (UFPR)
publisher.none.fl_str_mv Universidade Federal do Paraná (UFPR)
dc.source.pt_BR.fl_str_mv Boletim de Ciências Geodésicas
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
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spelling 2019-09-30T16:50:47Z2019-09-30T16:50:47Z2017-09BARBOSA, I. C. et al. Proposal of the spatial dependence evaluation from the power semivariogram model. Boletim de Ciências Geodésicas, Curitiba, v. 23, n. 3, p. 461-475, July/Sept. 2017. DOI: 10.1590/s1982-21702017000200031.https://repositorio.ufla.br/handle/1/37002In Geostatistics, the use of measurement to describe the spatial dependence of the attribute is of great importance, but only some models (which have second-order stationarity) are considered with such measurement. Thus, this paper aims to propose measurements to assess the degree of spatial dependence in power model adjustment phenomena. From a premise that considers the equivalent sill as the estimated semivariance value that matches the point where the adjusted power model curves intersect, it is possible to build two indexes to evaluate such dependence. The first one, SPD * , is obtained from the relation between the equivalent contribution (α) and the equivalent sill (C * = C 0 + α), and varies from 0 to 100% (based on the calculation of spatial dependence areas). The second one, SDI * , beyond the previous relation, considers the equivalent factor of model (FM * ), which depends on the exponent β that describes the force of spatial dependence in the power model (based on spatial correlation areas). The SDI * ,for β close to 2, assumes its larger scale, varying from 0 to 66.67%. Both indexes have symmetrical distribution, and allow the classification of spatial dependence in weak, moderate and strong.Em geoestatística, a utilização de medidas que descrevam a dependência espacial do atributo é de grande importância, porém apenas alguns modelos (que possuem estacionariedade de segunda ordem) são contemplados com tais medidas. Assim, este trabalho tem como objetivo propor medidas para avaliação do grau de dependência espacial em fenômenos com ajuste de modelo potência. A partir de uma premissa que considera o patamar-equivalente como o valor de semivariância que coincide com o ponto em que as curvas ajustadas do modelo potência se interceptam, pode-se construir dois índices para avaliação de tal dependência. O primeiro, DE * , é obtido a partir da relação entre a contribuição-equivalente (α) e o patamar-equivalente (C * = C 0 + α), e varia de 0 a 100% (baseado no cálculo de áreas de dependência espacial). O segundo, IDE * , além da relação anterior, considera um fator de modelo equivalente (FM * ), que depende do expoente β, o qual descreve a força da dependência espacial no modelo potência (baseado em áreas de correlação espacial). O IDE * , para β próximo de 2, assume sua maior escala, variando de 0 a 66.67%. Ambos os índices possuem distribuição simétrica, e permitem a classificação da dependência espacial em fraca, moderada e forte.Universidade Federal do Paraná (UFPR)Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessBoletim de Ciências Geodésicasreponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAGeostatisticsVariographic analysisSemivariogram modelSpatial dependence indexesGeoestatísticaAnálise variográficaModelo de semivariogramaÍndices de dependência espacialProposal of the spatial dependence evaluation from the power semivariogram modelProposta de avaliação da dependência espacial a partir do modelo de semivariograma potênciainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengBarbosa, Ismael CanabarroAppel Neto, EdemarSeidel, Enio JúniorOliveira, Marcelo Silva deCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8907https://repositorio.ufla.br/bitstreams/fa7c225c-3ab5-4fbe-826d-9f57f6c37ca4/downloadc07b6daef3dbee864bf87e6aa836cde2MD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-8953https://repositorio.ufla.br/bitstreams/4e701400-e2f7-4488-80ff-63f378e809ae/download760884c1e72224de569e74f79eb87ce3MD53falseAnonymousREADORIGINALARTIGO_Proposal of the spatial dependence evaluation from the power semivariogram model.pdfARTIGO_Proposal of the spatial dependence evaluation from the power semivariogram model.pdfapplication/pdf802723https://repositorio.ufla.br/bitstreams/5cdf6d72-f5a0-443d-a472-10ab0509fef6/download63c9f5f5beaf9fc3e61b30459e98d6d7MD51trueAnonymousREAD1/370022025-07-18 13:08:05.202http://creativecommons.org/licenses/by/4.0/Attribution 4.0 Internationalopen.accessoai:repositorio.ufla.br:1/37002https://repositorio.ufla.brRepositório InstitucionalPUBhttps://repositorio.ufla.br/server/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2025-07-18T16:08:05Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)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