Predicting the growth of stands of trees of mixed species and size: A matrix model for Norway

Bollandsås, Ole Martin; Buongiorno, Joseph

doi:10.1080/02827580801995315

Cited by 88 publications

(191 citation statements)

References 24 publications

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“…In addition, in I, we also study the more general individual tree model. In all papers, we apply a growth model based on Norwegian national forest inventories, published in Bollandsås et al (2008).…”

Section: Models and Numerical Optimization Methodsmentioning

confidence: 99%

“…We utilize the same empirically estimated growth functions (Bollandsås et al 2008), and a size-structured transition matrix model. We show that the optimal steady state is independent of the initial state of the stand.…”

Section: Economics Of Harvesting Boreal Uneven-aged Mixed-species Formentioning

confidence: 99%

“…By dividing the diameter increment with the width of the size class w (Bollandsås et al 2008), we obtain the fraction of trees moving to the next size class, i.e., Size-structured transition matrix models include the information on the stand structure (cf. biomass models (Getz and Haight 1989, p. 228)), but as they do not require the size of the trees in each age class as a variable, they are computationally less demanding than individual tree models (Getz and Haight 1989, p. 241).…”

Section: Stand-level Growth Modelsmentioning

confidence: 99%

“…and B. pubescens Ehrh.). We apply a size-structured transition matrix model and an individual tree model with empirically estimated growth functions presented in Bollandsås et al (2008). The harvesting interval is fixed to 15 years, and we use speciesspecific stumpage prices for both sawlog and pulpwood.…”

Section: Economics Of Harvesting Uneven-aged Forest Stands In Fennoscmentioning

confidence: 99%

“…To prevent the trees from growing more than one size class, the width of the size class is often set to a level that exceeds the maximum growth of a tree (see e.g., Bollandsås et al (2008)). This approach, however, may result in some issues, as some of the trees are assumed to grow the width of the size class.…”

Section: ∋ ( ∋ (mentioning

confidence: 99%

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On the economics of continuous cover forestry

Rämö¹

2017

Diss. For.

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This dissertation examines the economics of continuous cover forestry. The analysis is based on an economic description of continuous cover forestry using empirically estimated growth functions, with both size-structured and individual tree models. The optimization problem is solved in its general dynamic form using gradient-based interior point methods. Sensitivity analyzes are conducted for both the ecological and economical parameters.The thesis consists of a summary section and four separate studies, in which we solve economically optimal continuous cover forestry in single and mixed species stands. We present results for optimal harvests and stand structure, with and without biodiversity consideration, transition toward the optimal steady state, the effect of interest rate and harvesting cost on stand structure, density and optimal harvest timing, and how the optimal results compare to the limitations found in Finnish and Swedish forest legislation. It is found that harvests typically target the largest trees in the stand. In mixed species stands at more productive sites, species diversity increases with the interest rate, with an optimal steady state being a mixed species forest. Taking biodiversity into account in forest management increases species diversity. The harvest timing and intensity are dependent on both the interest rate and the fixed harvesting cost, and if the initial stand is far from the optimal steady state, the legal limitations are violated at least during the transition period.

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Section: Models and Numerical Optimization Methodsmentioning

confidence: 99%

Section: Economics Of Harvesting Boreal Uneven-aged Mixed-species Formentioning

confidence: 99%

Section: Stand-level Growth Modelsmentioning

confidence: 99%

Section: Economics Of Harvesting Uneven-aged Forest Stands In Fennoscmentioning

confidence: 99%

Section: ∋ ( ∋ (mentioning

confidence: 99%

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