Determination of the optimum cutting policy for the forest stand by means of dynamic programming

Kilkki, Pekka; Vaisanen, U.

doi:10.14214/aff.7613

Cited by 29 publications

(45 citation statements)

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“…Early studies optimizing the stand management of Scots pine using a whole-stand model include Nyyssönen (1958), and Kilkki and Väisänen (1969). The study by Gong (1998) used a whole-stand model to examine the optimal initial density and stand management of Scots pine stands in northern Sweden.…”

Section: Economics Of Stand-level Forest Managementmentioning

confidence: 99%

On the economics of boreal Scots pine management under climate change

Pihlainen¹

2017

Diss. For.

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To be presented, with the permission of the Faculty of Agriculture and Forestry of the University of Helsinki, for public criticism in room K110, C-building, Latokartanonkaari 5, Helsinki on 15 th December 2017, at 12 o'clock noon. This dissertation aims to develop the economics of even-aged Scots pine (Pinus sylvestris L.) management. In our economic-ecological model, a detailed process-based forest growth model is connected to an economic description of stand management. The process-based growth model is able to describe forest growth in management regimes and climate conditions previously not experienced, because it applies causal relationships and feedbacks instead of statistical correlations. Optimization is carried out with an effective general pattern search algorithm. The optimized variables include rotation length, initial stand density, and the timing, type, intensity, and number of thinnings. Essential model details include the quality pricing of timber and detailed harvesting cost functions. Integration of carbon subsidy systems into the model enables the determination of the economically optimal carbon storage with various carbon price levels. Finally, the growth model is extended to include a direct link between climate change and tree growth, to optimize stand management in a changing climate.The dissertation thesis is composed of a summary section and three articles, which produce a coherent and comprehensive picture on the optimal stand management of Scots pine in the relevant growth conditions of Fennoscandia. The results demonstrate the necessity to simultaneously optimize all stand management variables, and the advantages of having a detailed model. Optimal stand management is shown to be sensitive to growth conditions, interest rate, and management objective, along with the design of the carbon subsidy system and the subsidy level. The stand-level analysis is additionally extended to the national level, and adapting forest management was found to potentially be a cost-efficient method for carbon abatement in Finland. Furthermore, the optimal adaptation of stand management in a changing climate remarkably improves the economic surplus from forestry.

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Section: Economics Of Stand-level Forest Managementmentioning

confidence: 99%

On the economics of boreal Scots pine management under climate change

Pihlainen¹

2017

Diss. For.

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“…An alternative fisheries model, due to Beverton [2], utilizes a growth function of the form F(x, t)= g(t)x. The function F(x,t)=at-bxCe -dx, which has been used in forestry [10] will be discussed in detail later in the paper. Finally the case F(x,t)=O provides a model of exhaustible resources [8].…”

Section: --~ = F(xt) -H(t)mentioning

confidence: 99%

“…In a study of optimal thinning and rotation of pine forests in Finland, Kilkki and Vaisanen [10] developed a nonlinear discrete-time model that could be analyzed numerically by standard techniques of dynamic programming. In this section we shall describe a linearized continuous-time version of the Kilkki-Vaisanen model, which can then be studied by means of the methods described above.…”

Section: Forestry Management: Optimal Thinning and Rotationmentioning

confidence: 99%

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A simple linear model for the optimal exploitation of renewable resources

Clark

Pree

1979

Appl Math Optim

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“…Early scientists used a two-descriptor, i.e., volume and age, dynamic programming model in order to cluster each state (Brodie et al, 1978;Chen et al,1980;Kilkki and Väisänen, 1970). Brodie and Kao (1979) proposed a three descriptor dynamic programming model (number of trees, basal area, and age), using an existing stand growth simulator for Douglas-fir (Pseudotsuga menziesii [Mirb.]…”

Section: Introductionmentioning

confidence: 99%

Efficient Optimization of An Individual Tree Growth Model<sup><i>∗</i></sup>

Yoshimoto

Paredes

Brodie

2016

FORMATH

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Abstract:The PATH algorithm (Paredes and Brodie,1987) is interpreted by means of the calculus of variations. Using the PATH algorithm, a new dynamic programming model called Stand Optimization System (SOS) is developed. The system is incorporated into a growth simulator constructed by Arney (1985). Further limitation of optimality on the PATH algorithm and the relationship between the Lagrange multiplier and the decision variable are discussed.

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Determination of the optimum cutting policy for the forest stand by means of dynamic programming

Cited by 29 publications

References 0 publications

On the economics of boreal Scots pine management under climate change

On the economics of boreal Scots pine management under climate change

A simple linear model for the optimal exploitation of renewable resources

Efficient Optimization of An Individual Tree Growth Model<sup><i>∗</i></sup>

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