Dynamic growth model for Scots pine (Pinus sylvestris L.) plantations in Galicia (north-western Spain)

Diéguez-Aranda, Ulises; Castedo‐Dorado, Fernando; González, Juan Gabriel Álvarez; Alboreca, Alberto Rojo

doi:10.1016/j.ecolmodel.2005.04.026

Cited by 51 publications

(44 citation statements)

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“…This procedure has been widely used in diameter distribution modelling in which the parameter recovery approach is used (e.g., [14,20,59]). A diagram of the disaggregation system including all the components proposed in the present study is reported by Diéguez-Aranda et al [40].…”

Section: Diameter Distributionmentioning

confidence: 98%

“…Considering that forest management decisions require more detailed information about stand structure and volume, as classified by merchantable products, whole-stand models can be disaggregated mathematically using a diameter distribution function, which may be combined with a generalized height-diameter equation and with a taper function to estimate commercial volumes that depend on certain specified log dimensions. Similar methodologies have been used by Cao et al [20], Burk and Burkhart [14], Clutter et al [32], Knoebel et al [59], Zarnoch et al [104], Uribe [97], Río [85], Mabvurira et al [68], Kotze [60], Trincado et al [96], and Diéguez-Aranda et al [40] in the development of forest growth models, mainly for plantations.…”

Section: Introductionmentioning

confidence: 99%

“…The site quality system, which combines compatible site index and dominant height growth models in one common equation, was developed by Diéguez-Aranda et al [40]. The authors (op.…”

Section: Transition Function For Dominant Height Growthmentioning

confidence: 99%

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A growth model for Pinus radiata D. Don stands in north-western Spain

2007

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-A dynamic whole-stand growth model for radiata pine (Pinus radiata D. Don) stands in north-western Spain is presented. In this model, the initial stand conditions at any point in time are defined by three state variables (number of trees per hectare, stand basal area and dominant height), and are used to estimate total or merchantable stand volume for a given projection age. The model uses three transition functions derived with the generalized algebraic difference approach (GADA) to project the corresponding stand state variables at any particular time. These equations were fitted using the base-age-invariant dummy variables method. In addition, the model incorporates a function for predicting initial stand basal area, which can be used to establish the starting point for the simulation. Once the state variables are known for a specific moment, a distribution function is used to estimate the number of trees in each diameter class by recovering the parameters of the Weibull function, using the moments of first and second order of the distribution. By using a generalized height-diameter function to estimate the height of the average tree in each diameter class, combined with a taper function that uses the above predicted diameter and height, it is then possible to estimate total or merchantable stand volume.whole-stand growth model / radiata pine plantations / generalized algebraic difference approach / basal area disaggregation / Galicia Résumé -Un modèle de croissance pour des peuplements de Pinus radiata D. Don du nord ouest de l'Espagne. Un modèle dynamique de croissance de peuplement est présenté pour Pinus radiata D. dans le nord ouest de l'Espagne. Dans ce modèle, les conditions initiales du peuplement en tout point et temps sont définies par trois variables d'état (nombre d'arbres à l'hectare, surface terrière et hauteur dominante) et sont utilisées pour estimer le volume total ou marchand du peuplement pour un âge donné. Le modèle utilise trois fonctions de transition dérivées avec une approche par différence algébrique généralisée (GADA) pour projeter les variables d'état correspondantes du peuplement à n'importe quel moment. Ces équations ont été ajustées en utilisant la méthode des variables indicatrices indépendantes de l'âge. En plus, le modèle incorpore une fonction de prédiction de la surface terrière initiale du peuplement qui peut être utilisée pour établir le point de départ de la simulation. Une fois que les variables d'état sont connues à un instant donné, une fonction de distribution est utilisée pour estimer le nombre d'arbres dans chaque classe de diamètre en récupérant les paramètres de la fonction de Weibull, en utilisant les moments de premier et de second ordre de la distribution. En utilisant une fonction généralisée hauteur-diamètre pour estimer la hauteur de l'arbre moyen de chaque classe de diamètre, combinée avec une fonction qui utilise la prédiction précédente du diamètre et de la hauteur, il est alors possible d'estimer le volume total ou marchand du peuplement. modèl...

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Section: Diameter Distributionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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A growth model for Pinus radiata D. Don stands in north-western Spain

2007

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“…These functions have been widely used in modelling stand height and stand basal area growth (e.g., Álvarez Barrio Anta et al, 2006;Cieszewski, 2002;Diéguez-Aranda et al, 2006;Monserud, 1984).…”

Section: Transition Functions For Height and Basal Areamentioning

confidence: 99%

“…Castedo-Dorado et al, 2007a;Diéguez-Aranda et al, 2006;Nord-Larsen and Johannsen, 2007). Usually, each transition function is fitted separately, however the transition functions for dominant height, basal area and number of trees reduction together define a system of three regression equations and the random errors of the equations could be correlated.…”

Section: Model Fittingmentioning

confidence: 99%

Estimating growth in beech forests: a study based on long term experiments in Switzerland

2010

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Abstract• This contribution presents a dynamic stand growth model for Beech (Fagus sylvatica L.) forests, based on a dataset provided by the Swiss Federal Institute for Forest, Snow and Landscape Research WSL, Birmensdorf. The dataset includes 143 research plots, covering a wide range of growing sites and providing up to 16 interval measurements per research plot.• The objective of this research is to complement the range of existing beech growth models by bridging the gap between the historical yield tables and the single tree growth models. The specific aim is to develop transition functions which will project three state variables (dominant height, basal area and number of trees per hectare) at any particular time, in response to any arbitrary silvicultural treatment.• Two of the transition functions were derived using the generalized algebraic difference approach (GADA), the third one was derived with the algebraic difference approach (ADA). All the functions were fitted simultaneously using iterative seemingly unrelated regression and a base-age-invariant method. The influence of thinnings on basal area growth was included by fitting different transition functions for thinned and unthinned stands.• The overall model provides satisfactory predictions for time intervals up to 20 years. The new model is robust and its relatively simple structure makes it suitable for economic analysis and decision support.Mots-clés : effet de l'éclaircie / ajustement simultané / GADA / Fagus sylvatica Résumé -Estimation de la croissance dans les hêtraies : une étude basée sur des expérimenta-tions à long terme en Suisse.• Cette contribution présente un modèle dynamique de croissance des peuplements de hêtres (Fagus sylvatica L.), basé sur un ensemble de données fournies par l'Institut Fédéral Suisse de Recherche sur la Forêt, la Neige et le Paysage, WSL à Birmensdorf. L'ensemble des données comprend 143 parcelles de recherche, couvrant un large éventail de sites et fournissant jusqu'à 16 intervalles de mesures par parcelle de recherche.• L'objectif de cette recherche est de compléter la gamme de modèles de croissance du hêtre existants, en jetant un pont entre les tables de production historiques et les modèles de croissance d'arbre. L'objectif spécifique est de développer des fonctions de transition qui projeterons trois variables d'état (hauteur dominante, surface terrière et nombre d'arbres par hectare) à n'importe quel moment déter-miné, en réponse à n'importe quel traitement sylvicole arbitraire.• Deux des fonctions de transition ont été calculées en utilisant l'approche différence algébrique gé-néralisée (GADA), la troisième a été dérivée de l'approche différence algébrique (ADA). Toutes les fonctions ont été ajustées en utilisant simultanément une régression itérative sans lien apparent et une méthode basée sur l'invariance de l'âge. L'influence des éclaircies sur la croissance de la surface terrière a été inclue en ajustant différentes fonctions de transition pour les peuplements éclaircis et les peuplements non éclair...

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Modeling diameter distribution of Austrian black pine (Pinus nigra Arn.) plantations: a comparison of the Weibull frequency distribution function and percentile-based projection methods

Stankova

Zlatanov

2010

Eur J Forest Res

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The main purpose of the present investigation is to examine and compare three methods for diameter distribution modeling in terms of their fitness to predict from stand level variables the diameter distributions of even-aged Austrian black pine (Pinus nigra Arn.) plantations in Bulgaria. The percentile-based projection method involving empirical probability density function based on 12 percentiles was the first method tested. A new modified approach based on the first method was proposed as the second alternative. The third method was the 2-parameter Weibull functional model in which parameters were recovered from the first and the second raw moments and the second central moment of the empirical distributions. The KolmogorovSmirnov test was applied to compare the experimental distributions with the predicted ones, and estimation of the error indices was employed to evaluate the total absolute deviation of the predicted numbers from the actual ones by diameter class. The two-parameter Weibull function proved superior to the examined alternative percentile-based projection methods and the newly proposed percentile method, without a driver percentile showed improved precision compared to the classical percentile method (with a driver percentile). The parameters of the Weibull frequency distribution function can be easily recovered from the stand quadratic mean diameter. Consequently, this diameter distribution model could be incorporated as a sub-model for stand horizontal structure characterization within the Stand Density Management Diagram modeling framework.

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Dynamic growth model for Scots pine (Pinus sylvestris L.) plantations in Galicia (north-western Spain)

Cited by 51 publications

References 40 publications

A growth model for Pinus radiata D. Don stands in north-western Spain

A growth model for Pinus radiata D. Don stands in north-western Spain

Estimating growth in beech forests: a study based on long term experiments in Switzerland

Modeling diameter distribution of Austrian black pine (Pinus nigra Arn.) plantations: a comparison of the Weibull frequency distribution function and percentile-based projection methods

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