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Silva Fennica 1926-1997
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Acta Forestalia Fennica
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Articles containing the keyword 'dynamic model'.

Category: Research article

article id 640, category Research article
Jarkko Koskela. (2000). A process-based growth model for the grass stage pine seedlings. Silva Fennica vol. 34 no. 1 article id 640. https://doi.org/10.14214/sf.640
A carbon- and nitrogen-balance model, applying pipe model theory and a modification of functional balance as growth-guiding rules, is presented for the grass stage pine seedlings. Three populations of Pinus merkusii Jungh. et de Vriese, originating from northern and northeastern Thailand, were grown under controlled environment for 47 weeks to obtain parameter information, to evaluate the model performance and to investigate genotypic variation in various characteristics among the populations. Monte Carlo simulations were used to evaluate the sensitivity of the model behaviour to varying parameter values and to calibrate the model for each population. With given sets of parameter values, the simulated biomass development fitted rather well the observed one during the experiment. The two most important parameters determining model performance were within-shoot shading and specific nitrogen uptake rate of fine roots. The fit of simulated versus measured fine roots had a major effect on acceptable model performance in Monte Carlo simulations. Significant variation in biomass growth, nitrogen use efficiency, height, stem diameter, total carbon concentrations of stem and fine roots, and total nitrogen concentrations of needles, transport roots and fine roots was found among the populations. The observed genotypic variation in seedling biomass and stem diameter was consistent with the geographical distribution of the populations while the variation in the rest of the measured characteristics was not. It seems that P. merkusii populations in Thailand are adapted to more site specific conditions rather than climatic conditions alone, and that the variation in biomass growth may result from variation in internal carbon and nitrogen dynamics among the populations.
  • Koskela, Department of Forest Ecology/Tropical Silviculture Unit, P.O. Box 28, FIN-00014 University of Helsinki, Finland ORCID ID:E-mail: jarkko.koskela@helsinki.fi (email)

Category: Review article

article id 411, category Review article
Arthur Groot, Sylvie Gauthier, Yves Bergeron. (2004). Stand dynamics modelling approaches for multicohort management of eastern Canadian boreal forests. Silva Fennica vol. 38 no. 4 article id 411. https://doi.org/10.14214/sf.411
The objective of this paper is to discuss approaches and issues related to modelling stand dynamics for multi-cohort forest management in eastern Canadian boreal forests. In these forests, the interval between wildfires can be rather long, and the development of natural forest stands may include the establishment, growth and mortality of several cohorts of trees. Later cohorts are characterised by increasing structural complexity, including spatial heterogeneity and irregular tree size distribution. A multi-cohort forest management framework has been proposed to maintain this complexity, and associated biodiversity, on the landscape. Multi-cohort forest management planning requires forecasts of the development of stands with complex structure in response to silvicultural treatment and to natural disturbance, but current stand dynamics models in the region are applicable mainly to even-aged mono-specific stands. Possible modelling approaches for complex stands include i) the adaptation of current whole-stand growth and yield models, ii) distance-independent, empirically-derived individual-tree models, such as the USDA Forest Service Forest Vegetation Simulator, and iii) distance-dependent, empirically-derived or process-oriented individual-tree models. We conclude that individual-tree models are needed because observational data for fitting whole-stand models are not available for the full array of silvicultural treatments and natural disturbances encompassed by multi-cohort forest management. Predictive accuracy is a concern with individual-tree models, and the incorporation of coarse-scale constraints into these models is a promising means to control error.
  • Groot, Great Lakes Forestry Centre, Canadian Forest Service, 1219 Queen St. E., Sault Ste. Marie, ON, P6A 2E5, Canada ORCID ID:E-mail: agroot@nrcan.gc.ca (email)
  • Gauthier, Laurentian Forestry Centre, Canadian Forest Service, 1055 du P.E.P.S., P.O. Box 3800, Sainte-Foy, QC, G1V 4C7, Canada ORCID ID:E-mail:
  • Bergeron, University of Quebec at Abitibi-Temiscamingue, 445 Boul de l’Université, Rouyn-Noranda, QC, J9X 5E4, Canada ORCID ID:E-mail:

Category: Article

article id 5583, category Article
Ilkka Leinonen, Heikki Hänninen, Tapani Repo. (1996). Testing of frost hardiness models for Pinus sylvestris in natural conditions and in elevated temperature. Silva Fennica vol. 30 no. 2–3 article id 5583. https://doi.org/10.14214/sf.a9228

Two dynamic models predicting the development of frost hardiness of Finnish Scots pine (Pinus sylvestris L.) were tested with frost hardiness data obtained from trees growing in the natural conditions of Finland and from an experiment simulating the predicted climatic warming. The input variables were temperature in the first model, and temperature and night length in the second. The model parameters were fixed on the basis of previous independent studies. The results suggested that the model which included temperature and photoperiod as input variables was more accurate than the model using temperature as the only input variable to predict the development of frost hardiness in different environmental conditions. Further requirements for developing the frost hardiness models are discussed.

  • Leinonen, ORCID ID:E-mail:
  • Hänninen, ORCID ID:E-mail:
  • Repo, ORCID ID:E-mail:
article id 7190, category Article
Yrjö Kangas. (1968). Beschreibung des Wachstums der Bäume als Funktion ihres Alters : Ein Beitrag zu den methodischen Grundlagen der mathematischen Wachstumsanalyse. Acta Forestalia Fennica no. 90 article id 7190. https://doi.org/10.14214/aff.7190
English title: Describing the growth of a tree as a function of its age: a contribution to the methodological basis of mathematical analysis of the growth.

With developing possibilities to analyse data automatically there is a need to develop the mathematical and statistical practices for calculations. The article presents the basis about the growth of trees and the existing models of growth, the basics on growth functions,   and the construction of a regression model to analysis the growth. The theoretical model development has been tested with three existing data sets.

The analysis of growth should be considered with dynamic models. The model need to take into account various aspects and growth factors. The model should have practical implications.

The PDF contains a summary in German. 

  • Kangas, ORCID ID:E-mail:

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