Stem taper and bark functions for Norway spruce in Norway

Based on data from long-term experimental fields with Norway spruce (Picea abies (L.) H. Karst.), we developed new stem taper and bark functions for Norway. Data was collected from 477 trees in stands across Norway. Three candidate functions which have shown good performance in previous studies (Koz...

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Main Authors: Timo Pukkala, Kjersti Holt Hanssen, Kjell Andreassen
Format: Article
Language:English
Published: Finnish Society of Forest Science 2019-09-01
Series:Silva Fennica
Subjects:
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author Timo Pukkala
Kjersti Holt Hanssen
Kjell Andreassen
author_facet Timo Pukkala
Kjersti Holt Hanssen
Kjell Andreassen
author_sort Timo Pukkala
collection DOAJ
description Based on data from long-term experimental fields with Norway spruce (Picea abies (L.) H. Karst.), we developed new stem taper and bark functions for Norway. Data was collected from 477 trees in stands across Norway. Three candidate functions which have shown good performance in previous studies (Kozak 02, Kozak 97 and Bi) were fitted to the data as fixed-effects models. The function with the smallest Akaike Information Criterion (AIC) was then chosen for additional analyses, fitting 1) site index-dependent and 2) age-dependent versions of the model, and 3) fitting a mixed-effects model with tree-specific random parameters. Kozak 97 was found to be the function with the smallest AIC, but all three tested taper functions resulted in fairly similar predictions of stem taper. The site index-dependent function reduced AIC and residual standard error and showed that the effect of site index on stem taper is different in small and large trees. The predictions of the age-independent and age-dependent models were very close to each other. Adding tree-specific random parameters to the model clearly reduced AIC and residual variation. However, the results suggest that the mixed-effects model should be used only when it is possible to calibrate it for each tree, otherwise the fixed-effects Kozak 97 model should be used. A model for double bark thickness was also fitted as fixed-effects Kozak 97 model. The model behaved logically, predicting larger relative but smaller absolute bark thickness for small trees.
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spelling doaj.art-0401b08b398549e4b1bde0f9bc17d4322022-12-22T00:47:33ZengFinnish Society of Forest ScienceSilva Fennica2242-40752242-40752019-09-0153310.14214/sf.10187Stem taper and bark functions for Norway spruce in NorwayTimo Pukkala0Kjersti Holt Hanssen1Kjell Andreassen2University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, FinlandNorwegian Institute of Bioeconomy Research, P.O. Box 115, NO-1431 Ås, NorwayNorwegian Institute of Bioeconomy Research, P.O. Box 115, NO-1431 Ås, NorwayBased on data from long-term experimental fields with Norway spruce (Picea abies (L.) H. Karst.), we developed new stem taper and bark functions for Norway. Data was collected from 477 trees in stands across Norway. Three candidate functions which have shown good performance in previous studies (Kozak 02, Kozak 97 and Bi) were fitted to the data as fixed-effects models. The function with the smallest Akaike Information Criterion (AIC) was then chosen for additional analyses, fitting 1) site index-dependent and 2) age-dependent versions of the model, and 3) fitting a mixed-effects model with tree-specific random parameters. Kozak 97 was found to be the function with the smallest AIC, but all three tested taper functions resulted in fairly similar predictions of stem taper. The site index-dependent function reduced AIC and residual standard error and showed that the effect of site index on stem taper is different in small and large trees. The predictions of the age-independent and age-dependent models were very close to each other. Adding tree-specific random parameters to the model clearly reduced AIC and residual variation. However, the results suggest that the mixed-effects model should be used only when it is possible to calibrate it for each tree, otherwise the fixed-effects Kozak 97 model should be used. A model for double bark thickness was also fitted as fixed-effects Kozak 97 model. The model behaved logically, predicting larger relative but smaller absolute bark thickness for small trees.Picea abiesforest managementKozak modelvariable-exponent taper function
spellingShingle Timo Pukkala
Kjersti Holt Hanssen
Kjell Andreassen
Stem taper and bark functions for Norway spruce in Norway
Silva Fennica
Picea abies
forest management
Kozak model
variable-exponent taper function
title Stem taper and bark functions for Norway spruce in Norway
title_full Stem taper and bark functions for Norway spruce in Norway
title_fullStr Stem taper and bark functions for Norway spruce in Norway
title_full_unstemmed Stem taper and bark functions for Norway spruce in Norway
title_short Stem taper and bark functions for Norway spruce in Norway
title_sort stem taper and bark functions for norway spruce in norway
topic Picea abies
forest management
Kozak model
variable-exponent taper function
work_keys_str_mv AT timopukkala stemtaperandbarkfunctionsfornorwayspruceinnorway
AT kjerstiholthanssen stemtaperandbarkfunctionsfornorwayspruceinnorway
AT kjellandreassen stemtaperandbarkfunctionsfornorwayspruceinnorway