Comparative evaluation of five height–diameter models developed for black spruce and jack pine stand-types in terms of goodness-of-fit, lack-of-fit and predictive ability

Newton, Peter F.; Amponsah, I.G.

doi:10.1016/j.foreco.2007.04.029

Cited by 58 publications

(44 citation statements)

References 26 publications

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“…Group II models performed better than the Group I models for tree height prediction. Previous studies have shown that including stand characteristics as independent variables in height-diameter models improve the prediction accuracy of tree height estimation (Sáncheza et al 2003, Sharma and Zhang 2004, Temesgen and von Gadow 2004, Newton and Amponsah 2007. Stand variables reported in the literature include dominant diameter, dominant height, age, number of trees per hectare, stand basal area, the basal area in larger trees (BAL), density stress, developmental status and the combination of density stress and developmental status.…”

Section: Resultsmentioning

confidence: 99%

“…The second type (Group II) includes DBH and other individual tree and stand level variables such as tree age, site index, stand basal area, stand density and dominant and mean height. These are also known as composite models (Newton and Amponsah 2007). Group I models require only low sampling effort (Sáncheza et al 2003) and are usually locally applied (Soares and Tome 2002), whereas Group II models demand high sampling effort and are often applied regionally.…”

Section: Introductionmentioning

confidence: 99%

“…Group I models require only low sampling effort (Sáncheza et al 2003) and are usually locally applied (Soares and Tome 2002), whereas Group II models demand high sampling effort and are often applied regionally. Many comparisons between different models or ecoregions have been carried out to identify appropriate height-diameter relationships within stands (Curtis 1967, Arabatzis and Burkhart 1992, Huang et al 1992, Lynch and Murphy 1995, Fang and Bailey 1998, Peng 1999, Peng et al 2001, Sáncheza et al 2003, Sharma and Zhang 2004, Newton and Amponsah 2007; however, only a few studies have been conducted to develop height-diameter models for young stands (Dolph et al 1989, Soares and Tome 2002, Ganda 2004. In Canada, although height-diameter models have been developed for many tree species within mature stands (Huang et al 1992, Peng et al 2001, Zhang et al 2002, Peng et al 2004, Sharma and Zhang 2004, Temesgen and von Gadow 2004, Liu and Zhang 2005, Newton and Amponsah 2007, Sharma and Parton 2007, few have been calibrated for young forests.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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show abstract

“…In biological terms, α means the asymptotically maximum height, and β/2 corresponds to the infl exion point, in which the lower the coeffi cient, the smaller the diameters in which the asymptote is reached. Also, the model has a fi xed intercept of 1.3, which means that height is 1.3 when diameter equals zero, so this model could be characterized as constrained (NEWTON;AMPONSAH, 2007). Where: h is total tree height (m); d is tree diameter at breast height (cm); α and β are parameters estimated.…”

Section: Model Adjustedmentioning

confidence: 99%

“…As model developers, we expect to provide as much information about models errors (ZHANG, 1997;NEWTON;AMPONSAH, 2007) as possible, making a distinction between model accuracy (mean prediction error) and precision (model standard error) (VANCLAY et al, 1997), especially for model's end users (BRAND;HOLDAWAY, 1983). In order to do so, we provide the determination coeffi cient (R 2 ) [5] and root mean standard error (RMSE) [6] as precision measures.…”

Section: Model Assessmentmentioning

confidence: 99%

HEIGHT-DIAMETER RELATIONSHIPS FOR Araucaria angustifolia (BERTOL.) KUNTZE IN SOUTHERN BRAZIL

Costa

Schröder

Finger

2016

CERNE

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Height-diameter relationships are used in order to make forest inventories less expensive and to assess growth and yield. This study aimed to develop heightdiameter models for individual trees of Araucaria angustifolia (Bertol.) Kuntze for different locations and growth conditions in Southern Brazil. Our data include locations of at least one third of this species natural geographical distribution. We used Michailoff's model, and compared height-diameter tendency through analytical methods. The model showed good overall precision and accuracy. Trees growing in forest conditions had a higher asymptotic height, and reached it at smaller diameters than open-grown trees. Different regions had contrasting height-diameter tendency indicating site potential, especially for natural forests. Individual tree asymptotic height was correlated with site altitude and mean annual precipitation. This study represents a source of parameters for heightdiameter relationships in a large geographical span, for a species with high cultural and timber value in Southern Brazil. RELAÇÃO ALTURA-DIÂMETRO PARA Araucaria angustifolia (BERTOL.) KUNTZE NO SUL DO BRASIL RESUMO:A relação entre a altura-diâmetro são usualmente empregadas com intuito de obter inventários florestais menos custosos e para avaliar o crescimento e a produção. Este estudo teve como objetivo desenvolver modelos de altura-diâmetro para árvores individuais de Araucaria angustifolia (Bertol.) Kuntze para diferentes locais e condições de crescimento no Sul do Brasil. Os dados incluem localização de pelo menos um terço da distribuição geográfica natural da espécie. Foi utilizado o modelo de Michailoff e a comparação das tendências de altura-diâmetro por meio de métodos analíticos. O modelo mostrou de forma geral boa precisão e acurácia. Árvores que crescem em condições de floresta tem uma altura maior assintótica, alcançando em diâmetros menores do que as árvores crescendo livre de competição. Diferentes regiões tem contrastantes tendência altura-diâmetro indicando potencial local, especialmente para florestas naturais. A assíntota do modelo de altura das árvores apresentou correlação com a altitude local e precipitação média anual. Este estudo representa uma fonte de parâmetros das relações altura-diâmetro em uma ampla extensão geográfica, para uma espécie com alto valor cultural e potencial madeireiro no Sul do Brasil.

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Bibliography

2011

Forest Growth and Yield Modeling

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Comparative evaluation of five height–diameter models developed for black spruce and jack pine stand-types in terms of goodness-of-fit, lack-of-fit and predictive ability

Cited by 58 publications

References 26 publications

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

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

HEIGHT-DIAMETER RELATIONSHIPS FOR Araucaria angustifolia (BERTOL.) KUNTZE IN SOUTHERN BRAZIL

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