Tree diameter, height and stocking in even-aged forests

Vanclay, Jerome K.

doi:10.1051/forest/2009063

Cited by 30 publications

(30 citation statements)

References 18 publications

(15 reference statements)

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“…A third parameter, which measures the rate of stand stocking, is needed to complete the description and stand density (expressed here as number of trees per hectare) is an appropriate variable to be added to the state vector. The density decrease model can be derived by using a relationship suggested in a study by Vanclay (2009), according to which the mean diameter of trees in pure even-aged forests tends to remain a constant proportion of stand height divided by the logarithm of stand density (N, trees ha -1 ):…”

Section: Density Decrease Modelmentioning

confidence: 99%

A dynamic whole-stand growth model, derived from allometric relationships

Stankova¹

2016

Silva Fenn.

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A dynamic whole-stand growth model, derived from allometric relationships Stankova T.V. (2016). A dynamic whole-stand growth model, derived from allometric relationships. Silva Fennica vol. 50 no. 1 article id 1406. 21 p. Highlights• A dynamic whole-stand model was derived from simple allometries and biological rationale.• The state-space modelling approach was applied, suggesting several novelties to overcome scarcity of longitudinal data.• The model consists of a three-dimensional state vector, defined by dominant stand height, stand density and mean stem volume, and three transition functions.• It was tested with data from Scots pine plantations. AbstractGrowth and yield tables are constrained by a standard production regime and the stand-level dynamic models are an attractive alternative for the even-aged monospecific stands. The objective of this study is to derive a parsimonious and biologically sound whole-stand dynamic growth model and to validate its consistency and relevance for prediction of stand growth and yield. The state-space modelling approach was employed, introducing several novelties in comparison with its current usage. The model consists of a three-dimensional state vector, defined by dominant stand height, number of trees per hectare and mean stem volume, and three transition functions. A site index model was incorporated for height growth projection and transition functions for stand density and mean stem volume with respect to dominant height increase were derived from simple allometries and biological rationale. The model was examined with data from 79 permanent sample plots in Scots pine plantations. Nonlinear Seemingly Unrelated Regression was used to account for cross-equation correlations, and the Base-Height-Invariant dummy variable method was employed to estimate dynamic-form equations. Model consistency was validated in terms of accuracy of predictions and applicability to both thinned and unthinned stands. The new dynamic growth model is a parsimonious biometric whole-stand model that simulates the expected stand development for a broad spectrum of potential management alternatives and can be incorporated in a computer program for further use. It may be especially useful for application when a scarcity of longitudinal data prevents the use of more complicated modelling approaches.

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Section: Density Decrease Modelmentioning

confidence: 99%

A dynamic whole-stand growth model, derived from allometric relationships

Stankova¹

2016

Silva Fenn.

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“…As reported by Vanclay (2009), these relationships have several potential applications in the evaluation of forest resources and forest management, with the variables N, h and d being easily determined. Also, because the relationship is stable over time, it can be used to forecast future growth, to evaluate existing growth models, and, as an additional constraint in estimating simultaneous constraints, to describe tree growth.…”

Section: Discussionmentioning

confidence: 92%

“…It is related to the crown width and is a reflection of the resources potentially available to a tree. Thus (N) reflects the competition for this resource and the interaction h -ln (N) can provide a useful expression of the potential growth of individual trees (Vanclay, 2009). …”

Section: Discussionmentioning

confidence: 99%

Morphometric Relationships as Indicative of Silvicultural Interventions for Brazilian Pine in Southern Brazil

Hess¹,

Loiola²,

Minatti³

et al. 2018

JAS

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Silvicultural interventions are necessary to control the competition and to maintain the forest structure. Thus, this work aimed to know the interactions between dendro/morphometric variables to indicate density interventions in Brazilian pine Forest. Dendrometric and morphometric variables were measured from 186 individual trees of this species, which were distributed in diametric classes at three sites. With the variables were fitted models for the relationships between the degree of slenderness and the potential crown diameter as a function of the number of trees per hectare. The fit indicated that the variables showed interaction and the relationship can be described by linear function explaining between 51.9 and 99.3% of the variance between morphometry and forest density. This adjustment and information can be used to indicate the optimum density according to the amplitude of each index. The results show that the morphometric indexes and their interaction indicate the period of the interventions, having relation with the characteristics of the site, the diametric structure and the dynamics of the forest growth.

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“…Earlier reports based on this trial include an examination of early growth pasture production within the Nelder plot (Lamb and Borschmann 1998;Woldring 1998), and soil and foliar analyses (Lamb and Borschmann 1998). This work showed that maple suppressed grasses more than hoop, even at relatively low densities (Costantini 1989;Woldring 1998;Xu et al 2002), and that the height-diameter-density relationship remained stable over time (Vanclay 2009). …”

Section: Literaturementioning

confidence: 91%

Spatially explicit competition in a mixed planting of Araucaria cunninghamii and Flindersia brayleyana

Vanclay

Lamb

Erskine

et al. 2013

Annals of Forest Science

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Context: A 20 year old Nelder wheel planted with hoop pine (Araucaria cunninghamii Aiton ex D.Don) and Queensland maple (Flindersia brayleyana F.Muell.) in 18 spokes and 8 rings represents nominal point densities of 3580, 2150, 1140, 595, 305, 158, 82 and 42 stems/ha and offers an opportunity to examine competition and spatial interaction between these two species.Aims: To evaluate the intra-and inter-specific competition between two contrasting tree species, and determine the distance over which competition can be observed.Methods: Competition was estimated using Hegyi's index, implemented using the Simile visual modelling environment, and calibrated using non-linear least squares with PEST.

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Tree diameter, height and stocking in even-aged forests

Cited by 30 publications

References 18 publications

A dynamic whole-stand growth model, derived from allometric relationships

A dynamic whole-stand growth model, derived from allometric relationships

Morphometric Relationships as Indicative of Silvicultural Interventions for Brazilian Pine in Southern Brazil

Spatially explicit competition in a mixed planting of Araucaria cunninghamii and Flindersia brayleyana

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