MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Ciência Florestal (Online) |
Texto Completo: | https://periodicos.ufsm.br/cienciaflorestal/article/view/7558 |
Resumo: | http://dx.doi.org/10.5902/198050987558The objective of this work was to estimate the height growth of Eucalyptus using the Chapman-Richards model considering for the errors the distributions normal, Student t (t) and Cauchy. The data set came from a hybrid of Eucalyptus urophylla x Eucalyptus tereticornis x E. pellita (controlled pollination), of the Forestry Experimental Module in the Gypsum Pole of Araripe, established in 2002. Eighty-three trees were used which heights were measured in all trees for six and half years. The fittings consisted on the estimation of the parameters of the Chapman-Richards model maximizing the log-likelihood of the error distributions using the symmetric distributions normal, t and Cauchy. For comparison of the adjusted models were used the criteria of Akaike Information Criterion (AIC) and Bayesian (BIC) and the mean absolute percentage error (MAPE). The model using the t distribution with 2 degrees of freedom (t2) had lower values of AIC and BIC and the model of Cauchy had lower value for MAPE. The results indicate that the model considering the t distribution for the errors presented best estimates of height growth of Eucalyptus clones in Gypsum Pole of Pernambuco. |
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MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONSModelagem do crescimento de clones de Eucalyptus usando o modelo de Chapman-Richards com diferentes distribuições simétricas dos errosmaximum likelihoodsymmetrical modelsrobust distributionsmáxima verossimilhançamodelos simétricosdistribuições robustashttp://dx.doi.org/10.5902/198050987558The objective of this work was to estimate the height growth of Eucalyptus using the Chapman-Richards model considering for the errors the distributions normal, Student t (t) and Cauchy. The data set came from a hybrid of Eucalyptus urophylla x Eucalyptus tereticornis x E. pellita (controlled pollination), of the Forestry Experimental Module in the Gypsum Pole of Araripe, established in 2002. Eighty-three trees were used which heights were measured in all trees for six and half years. The fittings consisted on the estimation of the parameters of the Chapman-Richards model maximizing the log-likelihood of the error distributions using the symmetric distributions normal, t and Cauchy. For comparison of the adjusted models were used the criteria of Akaike Information Criterion (AIC) and Bayesian (BIC) and the mean absolute percentage error (MAPE). The model using the t distribution with 2 degrees of freedom (t2) had lower values of AIC and BIC and the model of Cauchy had lower value for MAPE. The results indicate that the model considering the t distribution for the errors presented best estimates of height growth of Eucalyptus clones in Gypsum Pole of Pernambuco.http://dx.doi.org/10.5902/198050987558Objetivou-se neste trabalho estimar o crescimento em altura de clones de Eucalyptus usando o modelo de Chapman-Richards, considerando para os erros as distribuições: normal, t de Student (t) e Cauchy. Foram utilizados dados de clones de híbrido entre Eucalyptus urophylla x Eucalyptus tereticornis x Eucalyptus pellita (polinização controlada), do Módulo de Experimentação Florestal para o Polo Gesseiro do Araripe, implantado em 2002. Utilizaram-se 83 árvores cujas alturas foram medidas durante seis anos e meio. Os parâmetros do modelo de Chapman-Richards foram obtidos maximizando a função de log-verossimilhança. Para comparação dos modelos foram utilizados os critérios de informação de Akaike (CIA) e Bayesiana (CIB) e o erro percentual absoluto médio (EPAM). O modelo usando a distribuição t de Student com 2 graus de liberdade (t2) obteve menores valores de CIA e CIB enquanto que o modelo de Cauchy obteve menor valor para o EPAM. Os resultados indicam que o modelo, considerando distribuição t para os erros, apresentou melhores estimativas do crescimento em altura de clones híbrido de Eucalyptus no Polo Gesseiro de Pernambuco.Universidade Federal de Santa Maria2012-12-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsm.br/cienciaflorestal/article/view/755810.5902/198050987558Ciência Florestal; Vol. 22 No. 4 (2012); 777-785Ciência Florestal; v. 22 n. 4 (2012); 777-7851980-50980103-9954reponame:Ciência Florestal (Online)instname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMporhttps://periodicos.ufsm.br/cienciaflorestal/article/view/7558/pdf_1Filho, Luiz Medeiros de Araujo LimaSilva, José Antônio Aleixo daCordeiro, Gauss MoutinhoFerreira, Rinaldo Luiz Caracioloinfo:eu-repo/semantics/openAccess2017-04-20T11:24:34Zoai:ojs.pkp.sfu.ca:article/7558Revistahttp://www.ufsm.br/cienciaflorestal/ONGhttps://old.scielo.br/oai/scielo-oai.php||cienciaflorestal@ufsm.br|| cienciaflorestal@gmail.com|| cf@smail.ufsm.br1980-50980103-9954opendoar:2017-04-20T11:24:34Ciência Florestal (Online) - Universidade Federal de Santa Maria (UFSM)false |
dc.title.none.fl_str_mv |
MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS Modelagem do crescimento de clones de Eucalyptus usando o modelo de Chapman-Richards com diferentes distribuições simétricas dos erros |
title |
MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS |
spellingShingle |
MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS Filho, Luiz Medeiros de Araujo Lima maximum likelihood symmetrical models robust distributions máxima verossimilhança modelos simétricos distribuições robustas |
title_short |
MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS |
title_full |
MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS |
title_fullStr |
MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS |
title_full_unstemmed |
MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS |
title_sort |
MODELING THE GROWTH OF Eucalyptus CLONES USING THE CHAPMAN-RICHARDS MODEL WITH DIFFERENT SYMMETRICAL ERROR DISTRIBUTIONS |
author |
Filho, Luiz Medeiros de Araujo Lima |
author_facet |
Filho, Luiz Medeiros de Araujo Lima Silva, José Antônio Aleixo da Cordeiro, Gauss Moutinho Ferreira, Rinaldo Luiz Caraciolo |
author_role |
author |
author2 |
Silva, José Antônio Aleixo da Cordeiro, Gauss Moutinho Ferreira, Rinaldo Luiz Caraciolo |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Filho, Luiz Medeiros de Araujo Lima Silva, José Antônio Aleixo da Cordeiro, Gauss Moutinho Ferreira, Rinaldo Luiz Caraciolo |
dc.subject.por.fl_str_mv |
maximum likelihood symmetrical models robust distributions máxima verossimilhança modelos simétricos distribuições robustas |
topic |
maximum likelihood symmetrical models robust distributions máxima verossimilhança modelos simétricos distribuições robustas |
description |
http://dx.doi.org/10.5902/198050987558The objective of this work was to estimate the height growth of Eucalyptus using the Chapman-Richards model considering for the errors the distributions normal, Student t (t) and Cauchy. The data set came from a hybrid of Eucalyptus urophylla x Eucalyptus tereticornis x E. pellita (controlled pollination), of the Forestry Experimental Module in the Gypsum Pole of Araripe, established in 2002. Eighty-three trees were used which heights were measured in all trees for six and half years. The fittings consisted on the estimation of the parameters of the Chapman-Richards model maximizing the log-likelihood of the error distributions using the symmetric distributions normal, t and Cauchy. For comparison of the adjusted models were used the criteria of Akaike Information Criterion (AIC) and Bayesian (BIC) and the mean absolute percentage error (MAPE). The model using the t distribution with 2 degrees of freedom (t2) had lower values of AIC and BIC and the model of Cauchy had lower value for MAPE. The results indicate that the model considering the t distribution for the errors presented best estimates of height growth of Eucalyptus clones in Gypsum Pole of Pernambuco. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-12-26 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.ufsm.br/cienciaflorestal/article/view/7558 10.5902/198050987558 |
url |
https://periodicos.ufsm.br/cienciaflorestal/article/view/7558 |
identifier_str_mv |
10.5902/198050987558 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicos.ufsm.br/cienciaflorestal/article/view/7558/pdf_1 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Santa Maria |
publisher.none.fl_str_mv |
Universidade Federal de Santa Maria |
dc.source.none.fl_str_mv |
Ciência Florestal; Vol. 22 No. 4 (2012); 777-785 Ciência Florestal; v. 22 n. 4 (2012); 777-785 1980-5098 0103-9954 reponame:Ciência Florestal (Online) instname:Universidade Federal de Santa Maria (UFSM) instacron:UFSM |
instname_str |
Universidade Federal de Santa Maria (UFSM) |
instacron_str |
UFSM |
institution |
UFSM |
reponame_str |
Ciência Florestal (Online) |
collection |
Ciência Florestal (Online) |
repository.name.fl_str_mv |
Ciência Florestal (Online) - Universidade Federal de Santa Maria (UFSM) |
repository.mail.fl_str_mv |
||cienciaflorestal@ufsm.br|| cienciaflorestal@gmail.com|| cf@smail.ufsm.br |
_version_ |
1799944128485654528 |