Modelling Forest Development

Gadow, Klaus von; Gao, Hui

doi:10.1007/978-94-011-4816-0

Cited by 199 publications

(146 citation statements)

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“…nevertheless, longer time-series data are needed to develop growth models to include stand dynamics and development histories. in a couple of growth modelling studies, advantages and disadvantages of using sample plot inventory and long-term experimental plot data or stem analysis data or combination of both have been discussed (von Gadow, Hui 1999;Pretzsch 2009;crecente-campo et al 2010). furthermore, the effects of competition and facilitation, and abiotic stress on tree growth have also been analysed and described in various studies (Hasenauer 2006;Pretzsch 2009). it would be interesting to test the growth models against longer time-series data that originate either from stem analysis or long-term research sample plots, which show clear growth trends caused by long-term changes in environmental conditions (Martín-Benito et al 2008;sharma et al 2011;yue et al 2014).…”

Section: Discussionmentioning

confidence: 99%

Modelling individual tree diameter growth for Norway spruce in the Czech Republic using a generalized algebraic difference approach

Sharma¹,

Vacek²,

Vacek³

et al. 2017

J. For. Sci.

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Abstractsharma r.P., vacek Z., vacek s., Jansa v., Kučera M. (2017): Modelling individual tree diameter growth for norway spruce in the czech republic using a generalized algebraic difference approach. J. for. sci., 63: 227-238.individual tree-based growth models precisely describe the growth of individual trees irrespective of stand complexity. These models are more useful than the stand-based growth models for effective management of forests. We developed an individual tree diameter growth model for norway spruce (Picea abies /linnaeus/ H. Karsten) using permanent research plot data collected from Krkonoše national Park in the czech republic. The model was tested against a part of the czech national forest inventory (nfi) data that originated from the western region of the country. Among various models derived by a generalized algebraic difference approach (GADA), the GADA model derived from the chapman-richards function best suited to our data. tree-specific parameters unique to each growth series, which describe tree-specific growth conditions, were estimated simultaneously with global parameters common to all growth series using the iterative nested regressions. The model described most of the variations in diameter growth for model calibration data (R 2 adj = 0.9901, rMse = 0.5962), leaving no significant trends in the residuals. A test against nfi data also confirms that the model is precise enough for predictions of diameter growth for ranges of site quality, tree size, age, and growth condition. The model also possesses biologically desirable properties because it produces the curves with growth rates and asymptotes that increase with increasing site quality. The GADA model is path-invariant and therefore applicable for both forward and backward predictions, meaning that the model can precisely predict diameter growth at any past ages of the trees.

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Section: Discussionmentioning

confidence: 99%

Modelling individual tree diameter growth for Norway spruce in the Czech Republic using a generalized algebraic difference approach

Sharma¹,

Vacek²,

Vacek³

et al. 2017

J. For. Sci.

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“…Pienaar et al (1991), Sáncheza et al (2003) 41. Gadow and Hui (1999) 42. Mirkovich (1958), Sáncheza et al (2003) 43.…”

Section: Model Performance Criteriamentioning

confidence: 99%

Individual height–diameter models for young black spruce (Picea mariana) and jack pine (Pinus banksiana) plantations in New Brunswick, Canada

Lei¹,

Peng²,

Wang³

et al. 2009

The Forestry Chronicle

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Historically, height-diameter models have mainly been developed for mature trees; consequently, few height-diameter models have been calibrated for young forest stands. In order to develop equations predicting the height of trees with small diameters, 46 individual height-diameter models were fitted and tested in young black spruce (Picea mariana) and jack pine (Pinus banksiana) plantations between the ages of 4 to 8 years, measured from 182 plots in New Brunswick, Canada. The models were divided into 2 groups: a diameter group and a second group applying both diameter and additional stand-or tree-level variables (composite models). There was little difference in predicting tree height among the former models (Group I) while the latter models (Group II) generally provided better prediction. Based on goodness of fit (R 2 and MSE), prediction ability (the bias and its associated prediction and tolerance intervals in absolute and relative terms), and ease of application, 2 Group II models were recommended for predicting individual tree heights within young black spruce and jack pine forest stands. Mean stand height was required for application of these models. The resultant tolerance intervals indicated that most errors (95%) associated with height predictions would be within the following limits (a 95% confidence level): [-0.54 [-17.1%, 18.6%] for jack pine. The recommended models are statistically reliable for growth and yield applications, regeneration assessment and management planning.Key words: composite model, linear model, model calibration, model validation, prediction interval, tolerance interval RÉSUMÉ Historiquement, les modèles hauteur-diamètre ont été élaborés surtout pour des arbres mûrs; en conséquence, rares sont les modèles hauteur-diamètre qui ont été calibrés pour les jeunes peuplements forestiers. Dans le but d' élaborer des équa-tions prédisant la hauteur d'arbres de petit diamètre, 46 modèles différents de hauteur-diamètre ont été ajustés et mis à l' essai dans des jeunes plantations d' épinette noire (Picea mariana) et de pin gris (Pinus banksiana) âgées entre 4 et 8 ans, dont les données provenaient de 182 parcelles situées au Nouveau-Brunswick au Canada. Les modèles ont été divisés en deux groupes : un groupe basé sur le diamètre et un deuxième groupe utilisant à la fois le diamètre et des variables additionnelles provenant du peuplement ou de l'arbre (modèles composites). Nous avons obtenu peu de différence dans la pré-diction de la hauteur des arbres parmi les modèles antérieurs (Groupe I) tandis que les modèles subséquents (Groupe II) ont permis d' obtenir généralement une meilleure prédiction. En fonction de l'homogénéité de la distribution (R 2 et carré de l' erreur moyenne), de la capacité de prédiction (le biais et ses intervalles associés de prédiction et de tolérance en termes absolus et relatifs) et la facilité d'utilisation, deux modèles du Groupe II sont recommandés pour la prédiction de la hauteur d'arbres individuels dans le cas de jeunes peuplements d' épinette n...

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“…The aim was to detect any obvious dependencies or patterns that indicate systematic discrepancies. To determine the accuracy of model predictions, the bias and precision of the models were calculated [4,10,21]. The absolute and relative biases, and the root mean square error (RMSE) were calculated as follows: (7) (8) (9) (10) where n is the number of observations, and and are observed and predicted values, respectively.…”

Section: Model Evaluationmentioning

confidence: 99%

Using past growth to improve individual-tree diameter growth models for uneven-aged mixtures of Pinus sylvestris L. and Pinus nigra Arn. in Catalonia, north-east Spain

Trasobares

Pukkala

2004

Ann. For. Sci.

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-In this study, growth models of individual tree diameter for uneven-aged mixtures of P. sylvestris and P. nigra in Catalonia were developed using a past growth index as site descriptor. These models were compared to an earlier model, based on the same data, that did not use past growth as a predictor. The growth index was calculated as a ratio of the measured and predicted past growth of sample trees within a given stand, the predictors pertaining to an average site. The models for future growth were based on 7 982 and 5 673 observations, and the models for past growth on 1 997 and 1 686 observations for P. sylvestris and P. nigra, respectively. Due to the applied Snowdon correction, the biases for the diameter growth models were zero. The relative RMSE values were 56.3% for the earlier P. sylvestris model and 52.0% for the new model, and 48.7% for the earlier P. nigra model and 47.1% for the new model. The accuracy of stand-level predictions (10-year change in basal area of living pines in the inventory plots) was better for the new models (Bias % = 2.79 and RMSE % = 34.79) than for the earlier ones (Bias % = 3.27 and RMSE % = 41.54). The results indicate that the new models adapt to specific stand conditions better than models that omit past growth measurements. growth index / mixed models / mixed stand / Scots pine / black pine Résumé -Utilisation de la croissance passée pour l'évaluation du site dans des modèles non spatialisés de croissance en diamètre pour des peuplements irréguliers et mélangés de Pinus sylvestris L. et Pinus nigra Arn. en Catalogne (Nord-Est de l'Espagne). Dans cette étude, des modèles de croissance en diamètre pour des peuplements irréguliers et mélangés de Pinus sylvestris L. et Pinus nigra Arn. en Catalogne ont été développés en utilisant un indice de croissance passée comme prédicteur du site. Ces modèles étaient comparés avec un modèle antérieur, à partir des mêmes valeurs, qui n'utilisait pas la croissance passée comme prédicteur. L'indice de croissance a été calculé comme un rapport de la croissance passée mesurée et la croissance passée prédite des arbres échantillonnées dans une placette donnée, avec des prédicteurs concernant un site moyen. Les modèles pour la croissance future correspondent à 7 982 et 5 673 observations, et les modèles pour la croissance passée à 1 997 et 1 686 observations pour P. sylvestris et P. nigra, respectivement. Les biais pour les modèles de croissance en diamètre sont zéro en raison de l'application de la correction de Snowdon. Les valeurs relatives du RMSE étaient 56.3 % pour le modèle antérieur de P. sylvestris et 52.0 % pour le nouveau modèle, et 48.7 % pour le modèle antérieur de P. nigra et 47.1 % pour le nouveau modèle. La précision des prédictions au niveau des placettes (dérive en surface terrière pour 10-années des arbres vivants dans les placettes d'inventaire) était meilleure pour les nouveaux modèles (Biais % = 2.79 et RMSE % = 34.79) que pour les modèles antérieures (Biais % = 3.27 et RMSE % = 41.54). Les résultats indiquent qu...

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Modelling Forest Development

Cited by 199 publications

References 0 publications

Modelling individual tree diameter growth for Norway spruce in the Czech Republic using a generalized algebraic difference approach

Modelling individual tree diameter growth for Norway spruce in the Czech Republic using a generalized algebraic difference approach

Individual height–diameter models for young black spruce (Picea mariana) and jack pine (Pinus banksiana) plantations in New Brunswick, Canada

Using past growth to improve individual-tree diameter growth models for uneven-aged mixtures of Pinus sylvestris L. and Pinus nigra Arn. in Catalonia, north-east Spain

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