A mixed nonlinear height-diameter model for pyrenean oak (Quercus pyrenaica Willd.)

A nonlinear mixed-effects modelling approach was used to model the individual tree height-diameter relationship in pyrenean oak (Quercus pyrenaica Willd.). A set of 24,627 pairs of height-diameter measurements were used to fit the model. These were taken at 950 Spanish National Forest Inventory plots embracing six different biogeoclimatic strata. Eleven biparametric nonlinear height-diameter equations were evaluated to find a local model, which only includes the dimensions of the tree as explanatory variables. After selecting the local model, a regional or generalized model was studied. The following stand variables were tested for inclusion in the model as fixed effects stand density, quadratic mean diameter, arithmetic mean diameter, dominant diameter, arithmetic mean height, dominant height and basal area. Dominant height and basal area of the stand were found to produce the most satisfactory fits in the stand model. Interregional variability was studied by including strata effects as dummy categorical variables and was analysed using the non-linear extra sum of squares method and the Lakkis-Jones test. Height-diameter models were found to be similar for the six biogeoclimatic strata. Finally, a mixed nonlinear model technique was applied to fit the definitive model. By calibrating the model it is possible to predict random components of definitive model from height measurements previously taken from a subsample of trees. The different alternatives tested reveal that only two or three trees are necessary to calibrate the model. © 2008 Elsevier B.V. All rights reserved.

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Bibliographic Details
Main Authors: Adame, P., del Río, M., Cañellas, I.
Format: journal article biblioteca
Language:English
Published: Elsevier 2008
Subjects:Individual tree model, Random model, Rebollo oak, Height–diameter relationship,
Online Access:http://hdl.handle.net/20.500.12792/4821
http://hdl.handle.net/10261/293688
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spelling dig-inia-es-10261-2936882023-02-20T10:31:00Z A mixed nonlinear height-diameter model for pyrenean oak (Quercus pyrenaica Willd.) Adame, P. del Río, M. Cañellas, I. Individual tree model Random model Rebollo oak Height–diameter relationship A nonlinear mixed-effects modelling approach was used to model the individual tree height-diameter relationship in pyrenean oak (Quercus pyrenaica Willd.). A set of 24,627 pairs of height-diameter measurements were used to fit the model. These were taken at 950 Spanish National Forest Inventory plots embracing six different biogeoclimatic strata. Eleven biparametric nonlinear height-diameter equations were evaluated to find a local model, which only includes the dimensions of the tree as explanatory variables. After selecting the local model, a regional or generalized model was studied. The following stand variables were tested for inclusion in the model as fixed effects stand density, quadratic mean diameter, arithmetic mean diameter, dominant diameter, arithmetic mean height, dominant height and basal area. Dominant height and basal area of the stand were found to produce the most satisfactory fits in the stand model. Interregional variability was studied by including strata effects as dummy categorical variables and was analysed using the non-linear extra sum of squares method and the Lakkis-Jones test. Height-diameter models were found to be similar for the six biogeoclimatic strata. Finally, a mixed nonlinear model technique was applied to fit the definitive model. By calibrating the model it is possible to predict random components of definitive model from height measurements previously taken from a subsample of trees. The different alternatives tested reveal that only two or three trees are necessary to calibrate the model. © 2008 Elsevier B.V. All rights reserved. 2023-02-20T10:31:00Z 2023-02-20T10:31:00Z 2008 journal article Forest Ecology and Management 256(1-2): 88-98 (2008) 0378-1127 http://hdl.handle.net/20.500.12792/4821 http://hdl.handle.net/10261/293688 10.1016/j.foreco.2008.04.006 1872-7042 en none Elsevier
institution INIA ES
collection DSpace
country España
countrycode ES
component Bibliográfico
access En linea
databasecode dig-inia-es
tag biblioteca
region Europa del Sur
libraryname Biblioteca del INIA España
language English
topic Individual tree model
Random model
Rebollo oak
Height–diameter relationship
Individual tree model
Random model
Rebollo oak
Height–diameter relationship
spellingShingle Individual tree model
Random model
Rebollo oak
Height–diameter relationship
Individual tree model
Random model
Rebollo oak
Height–diameter relationship
Adame, P.
del Río, M.
Cañellas, I.
A mixed nonlinear height-diameter model for pyrenean oak (Quercus pyrenaica Willd.)
description A nonlinear mixed-effects modelling approach was used to model the individual tree height-diameter relationship in pyrenean oak (Quercus pyrenaica Willd.). A set of 24,627 pairs of height-diameter measurements were used to fit the model. These were taken at 950 Spanish National Forest Inventory plots embracing six different biogeoclimatic strata. Eleven biparametric nonlinear height-diameter equations were evaluated to find a local model, which only includes the dimensions of the tree as explanatory variables. After selecting the local model, a regional or generalized model was studied. The following stand variables were tested for inclusion in the model as fixed effects stand density, quadratic mean diameter, arithmetic mean diameter, dominant diameter, arithmetic mean height, dominant height and basal area. Dominant height and basal area of the stand were found to produce the most satisfactory fits in the stand model. Interregional variability was studied by including strata effects as dummy categorical variables and was analysed using the non-linear extra sum of squares method and the Lakkis-Jones test. Height-diameter models were found to be similar for the six biogeoclimatic strata. Finally, a mixed nonlinear model technique was applied to fit the definitive model. By calibrating the model it is possible to predict random components of definitive model from height measurements previously taken from a subsample of trees. The different alternatives tested reveal that only two or three trees are necessary to calibrate the model. © 2008 Elsevier B.V. All rights reserved.
format journal article
topic_facet Individual tree model
Random model
Rebollo oak
Height–diameter relationship
author Adame, P.
del Río, M.
Cañellas, I.
author_facet Adame, P.
del Río, M.
Cañellas, I.
author_sort Adame, P.
title A mixed nonlinear height-diameter model for pyrenean oak (Quercus pyrenaica Willd.)
title_short A mixed nonlinear height-diameter model for pyrenean oak (Quercus pyrenaica Willd.)
title_full A mixed nonlinear height-diameter model for pyrenean oak (Quercus pyrenaica Willd.)
title_fullStr A mixed nonlinear height-diameter model for pyrenean oak (Quercus pyrenaica Willd.)
title_full_unstemmed A mixed nonlinear height-diameter model for pyrenean oak (Quercus pyrenaica Willd.)
title_sort mixed nonlinear height-diameter model for pyrenean oak (quercus pyrenaica willd.)
publisher Elsevier
publishDate 2008
url http://hdl.handle.net/20.500.12792/4821
http://hdl.handle.net/10261/293688
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