Inside and outside bark volume models for jack pine (Pinus banksiana) and black spruce (Picea mariana) plantations in Ontario, Canada

Accurate estimates of tree stemwood volume are a fundamental requirement for sustainable forest management. As jack pine (Pinus banksiana Lamb.) and black spruce (Picea mariana Mill. BSP) are the primary species harvested in boreal Ontario, Canada, inside and outside bark tree volume models were dev...

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Main Author: Mahadev Sharma
Format: Article
Language:English
Published: Canadian Institute of Forestry 2019-05-01
Series:The Forestry Chronicle
Subjects:
Online Access:https://pubs.cif-ifc.org/doi/10.5558/tfc2019-009
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author Mahadev Sharma
author_facet Mahadev Sharma
author_sort Mahadev Sharma
collection DOAJ
description Accurate estimates of tree stemwood volume are a fundamental requirement for sustainable forest management. As jack pine (Pinus banksiana Lamb.) and black spruce (Picea mariana Mill. BSP) are the primary species harvested in boreal Ontario, Canada, inside and outside bark tree volume models were developed for these species grown in plantations. Data used in this study came from stem analysis of 1135 jack pine and 1189 black spruce trees sampled from 25 even-aged monospecific plantations in the boreal forest region of northern Ontario. Three alternative model forms were considered and the final model was selected based on fit statistics, predictive accuracy, and logical consistency. A tree volume model is considered logically consistent if it produces volume estimates greater than zero and, regardless of tree size, outside bark tree volume exceeds inside bark volume. A nonlinear mixed-effects modelling approach was used to address the three-level (plantation, plot, and tree) hierarchical error structure. However, plantation and plot scale random effects were not significant in the regression. A weighted (power function) was used to address heteroscedasticity in the data. The modified form of the dimensionally compatible volume model outperformed the other two models in terms of fit statistics, predictive accuracy, and logical consistency. Therefore, this model was selected as the inside and outside bark volume model for both species.
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spelling doaj-art-cf3aae9c8b84433f8e46d327cfea12db2025-08-04T19:31:34ZengCanadian Institute of ForestryThe Forestry Chronicle0015-75461499-93152019-05-019501505710.5558/tfc2019-009Inside and outside bark volume models for jack pine (Pinus banksiana) and black spruce (Picea mariana) plantations in Ontario, CanadaMahadev Sharma0Ministry of Natural Resources and Forestry, Ontario Forest Research Institute, 1235 Queen St East, Sault Ste Marie, ON P6A 2E5Accurate estimates of tree stemwood volume are a fundamental requirement for sustainable forest management. As jack pine (Pinus banksiana Lamb.) and black spruce (Picea mariana Mill. BSP) are the primary species harvested in boreal Ontario, Canada, inside and outside bark tree volume models were developed for these species grown in plantations. Data used in this study came from stem analysis of 1135 jack pine and 1189 black spruce trees sampled from 25 even-aged monospecific plantations in the boreal forest region of northern Ontario. Three alternative model forms were considered and the final model was selected based on fit statistics, predictive accuracy, and logical consistency. A tree volume model is considered logically consistent if it produces volume estimates greater than zero and, regardless of tree size, outside bark tree volume exceeds inside bark volume. A nonlinear mixed-effects modelling approach was used to address the three-level (plantation, plot, and tree) hierarchical error structure. However, plantation and plot scale random effects were not significant in the regression. A weighted (power function) was used to address heteroscedasticity in the data. The modified form of the dimensionally compatible volume model outperformed the other two models in terms of fit statistics, predictive accuracy, and logical consistency. Therefore, this model was selected as the inside and outside bark volume model for both species.https://pubs.cif-ifc.org/doi/10.5558/tfc2019-009Nonlinear mixed-effects modelsboreal tree speciesand logical consistencymodèles non linéaires à effets mixtesessences d’arbres boréalescohérence logique
spellingShingle Mahadev Sharma
Inside and outside bark volume models for jack pine (Pinus banksiana) and black spruce (Picea mariana) plantations in Ontario, Canada
The Forestry Chronicle
Nonlinear mixed-effects models
boreal tree species
and logical consistency
modèles non linéaires à effets mixtes
essences d’arbres boréales
cohérence logique
title Inside and outside bark volume models for jack pine (Pinus banksiana) and black spruce (Picea mariana) plantations in Ontario, Canada
title_full Inside and outside bark volume models for jack pine (Pinus banksiana) and black spruce (Picea mariana) plantations in Ontario, Canada
title_fullStr Inside and outside bark volume models for jack pine (Pinus banksiana) and black spruce (Picea mariana) plantations in Ontario, Canada
title_full_unstemmed Inside and outside bark volume models for jack pine (Pinus banksiana) and black spruce (Picea mariana) plantations in Ontario, Canada
title_short Inside and outside bark volume models for jack pine (Pinus banksiana) and black spruce (Picea mariana) plantations in Ontario, Canada
title_sort inside and outside bark volume models for jack pine pinus banksiana and black spruce picea mariana plantations in ontario canada
topic Nonlinear mixed-effects models
boreal tree species
and logical consistency
modèles non linéaires à effets mixtes
essences d’arbres boréales
cohérence logique
url https://pubs.cif-ifc.org/doi/10.5558/tfc2019-009
work_keys_str_mv AT mahadevsharma insideandoutsidebarkvolumemodelsforjackpinepinusbanksianaandblacksprucepiceamarianaplantationsinontariocanada