Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in Serbia

Abstract Key message We applied the generalized algebraic difference approach (GADA) to develop dynamic models of height growth for pedunculate oak (Quercus robur L.) in Serbia. According to the dominant heights, the studied region comprises some of Europe’s most productive sites for pedunculate oak...

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প্রধান লেখক: Marko Kazimirović, Branko Stajić, Nenad Petrović, Janko Ljubičić, Olivera Košanin, Marc Hanewinkel, Dominik Sperlich
বিন্যাস: প্রবন্ধ
ভাষা:English
প্রকাশিত: BMC 2024-03-01
মালা:Annals of Forest Science
বিষয়গুলি:
অনলাইন ব্যবহার করুন:https://doi.org/10.1186/s13595-024-01231-0
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author Marko Kazimirović
Branko Stajić
Nenad Petrović
Janko Ljubičić
Olivera Košanin
Marc Hanewinkel
Dominik Sperlich
author_facet Marko Kazimirović
Branko Stajić
Nenad Petrović
Janko Ljubičić
Olivera Košanin
Marc Hanewinkel
Dominik Sperlich
author_sort Marko Kazimirović
collection DOAJ
description Abstract Key message We applied the generalized algebraic difference approach (GADA) to develop dynamic models of height growth for pedunculate oak (Quercus robur L.) in Serbia. According to the dominant heights, the studied region comprises some of Europe’s most productive sites for pedunculate oak. Therein, we have generated a map showing the current site index class of stands. Such a map could be used to enhance forest management and evaluate climate change impacts. Context Although sustainable forest management requires reliable prediction of forest site productivity, such indicators are currently unavailable for pedunculate oak sites in Serbia. The site index (SI) curves represent the most commonly used indirect scale for site productivity classification. The dynamic equations derived by the Generalized Algebraic Difference Approach (GADA) are the state-of-the-art approach in growth modeling, but they have not been widely applied for studying the height dynamics of pedunculate oak. Aims The main objectives of this study were to develop the first dynamic site index curves for pedunculate oak in Serbia and subsequently to provide stand-level maps with predicted site indices. Methods We have tested five flexible polymorphic equations with variable asymptotes derived by the GADA approach. Models were calibrated using artificially established growth trajectories obtained from 3636 detailed temporary sample plots. The selection of the most suitable model was accomplished according to (1) quantitative measures of goodness of fit, (2) the analysis of residual scattering, and (3) the biological plausibility of obtained height growth curves. Results After correcting the error terms with a continuous first-order autoregressive structure and conducting a three-stage performance analysis, the GADA dynamic site index model derived from the Hossfeld base equation shows the best overall properties. Insight into the oscillations of relative error suggested that 100 years is the most suitable age for site index referencing. Comparison with existing height growth models revealed greater flexibility and a considerably better representation of the height growth dynamic of pedunculate oak in the studied region. Additionally, we have produced a spatially explicit map showing the expected SI100 for 1907 stands with pedunculate oak within 22 management units. Conclusion Dynamic SI-curves based on GADA will serve forest practitioners to update management plans and serve as a reference point for benchmarking the impact of climate change and for developing adaptation strategies. The utilized approach allowed unbiased estimation of SI100 across all age classes so that the results could be mapped at a broader scale. This study provides the second known application of the dynamic model for pedunculate oak in Europe but the first that includes some of the most productive sites in the species distribution range.
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spelling doaj.art-eea91b6c2a7546cbb3104ee23a87a5f42024-03-31T11:38:51ZengBMCAnnals of Forest Science1297-966X2024-03-0181111710.1186/s13595-024-01231-0Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in SerbiaMarko Kazimirović0Branko Stajić1Nenad Petrović2Janko Ljubičić3Olivera Košanin4Marc Hanewinkel5Dominik Sperlich6University of Belgrade, Faculty of ForestryUniversity of Belgrade, Faculty of ForestryUniversity of Belgrade, Faculty of ForestryUniversity of Belgrade, Faculty of ForestryUniversity of Belgrade, Faculty of ForestryChair of Forest Economics and Forest Planning, Faculty of Environment and Natural Resources, University of FreiburgChair of Forest Economics and Forest Planning, Faculty of Environment and Natural Resources, University of FreiburgAbstract Key message We applied the generalized algebraic difference approach (GADA) to develop dynamic models of height growth for pedunculate oak (Quercus robur L.) in Serbia. According to the dominant heights, the studied region comprises some of Europe’s most productive sites for pedunculate oak. Therein, we have generated a map showing the current site index class of stands. Such a map could be used to enhance forest management and evaluate climate change impacts. Context Although sustainable forest management requires reliable prediction of forest site productivity, such indicators are currently unavailable for pedunculate oak sites in Serbia. The site index (SI) curves represent the most commonly used indirect scale for site productivity classification. The dynamic equations derived by the Generalized Algebraic Difference Approach (GADA) are the state-of-the-art approach in growth modeling, but they have not been widely applied for studying the height dynamics of pedunculate oak. Aims The main objectives of this study were to develop the first dynamic site index curves for pedunculate oak in Serbia and subsequently to provide stand-level maps with predicted site indices. Methods We have tested five flexible polymorphic equations with variable asymptotes derived by the GADA approach. Models were calibrated using artificially established growth trajectories obtained from 3636 detailed temporary sample plots. The selection of the most suitable model was accomplished according to (1) quantitative measures of goodness of fit, (2) the analysis of residual scattering, and (3) the biological plausibility of obtained height growth curves. Results After correcting the error terms with a continuous first-order autoregressive structure and conducting a three-stage performance analysis, the GADA dynamic site index model derived from the Hossfeld base equation shows the best overall properties. Insight into the oscillations of relative error suggested that 100 years is the most suitable age for site index referencing. Comparison with existing height growth models revealed greater flexibility and a considerably better representation of the height growth dynamic of pedunculate oak in the studied region. Additionally, we have produced a spatially explicit map showing the expected SI100 for 1907 stands with pedunculate oak within 22 management units. Conclusion Dynamic SI-curves based on GADA will serve forest practitioners to update management plans and serve as a reference point for benchmarking the impact of climate change and for developing adaptation strategies. The utilized approach allowed unbiased estimation of SI100 across all age classes so that the results could be mapped at a broader scale. This study provides the second known application of the dynamic model for pedunculate oak in Europe but the first that includes some of the most productive sites in the species distribution range.https://doi.org/10.1186/s13595-024-01231-0Height growthPedunculate oakSerbiaGADAAge-related trendSite productivity maps
spellingShingle Marko Kazimirović
Branko Stajić
Nenad Petrović
Janko Ljubičić
Olivera Košanin
Marc Hanewinkel
Dominik Sperlich
Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in Serbia
Annals of Forest Science
Height growth
Pedunculate oak
Serbia
GADA
Age-related trend
Site productivity maps
title Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in Serbia
title_full Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in Serbia
title_fullStr Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in Serbia
title_full_unstemmed Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in Serbia
title_short Dynamic height growth models for highly productive pedunculate oak (Quercus robur L.) stands: explicit mapping of site index classification in Serbia
title_sort dynamic height growth models for highly productive pedunculate oak quercus robur l stands explicit mapping of site index classification in serbia
topic Height growth
Pedunculate oak
Serbia
GADA
Age-related trend
Site productivity maps
url https://doi.org/10.1186/s13595-024-01231-0
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