Optimal harvest cycle on Nothofagus forests including carbon storage in Southern America: An application to Chilean subsidies in temperate forests

Moreno, Norman Breuer; Moreno, Roberto; Molina, Juan Ramón

doi:10.1016/j.landusepol.2018.10.026

Cited by 8 publications

(3 citation statements)

References 31 publications

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“…There are a variety of mathematical models in the literature that study the optimal rotation age in forest plantations (e.g., [14][15][16]). For the present work, we will follow the same ideas of the mathematical model presented in [13], which consists of a system of three ordinary differential equations (ODEs) involving three state variables the live biomass B(t), the intrinsic biomass growth r(t) and the burned area I(t).…”

Section: Mathematical Modelmentioning

confidence: 99%

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Existence of solutions for an optimal control problem in forestry management

Altamirano-Fernández

Rojas‐Palma

Meza

2023

J. Phys.: Conf. Ser.

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Physical, biological, and economic factors remain inexhaustible sources when determining silvicultural management strategies that maximize the net benefit of timber volume. The objective of this paper is to formulate an optimal control problem to maximize the net benefit of timber volume and to demonstrate the existence of optimal solutions to this problem. The optimal control theory will be used, through the formulation of a bioeconomic optimal control problem subjected to a system of three ordinary differential equations that describe the interactions between the living biomass, the intrinsic growth of the biomass, and the burned area. Four control variables are associated with these differential equations, which are reforestation, felling, thinning, and fire prevention. Assuming adequate conditions on the control variables, the existence of optimal solutions to the optimal control problem is obtained using Filippov’s theorem. In conclusion, the optimal control problem is well formulated and solutions exist. This will allow us to define forest management strategies that optimize the economic gain of the process, taking into consideration the physical, biological, and economic phenomena involved in the dynamics of forest plantations.

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Section: Mathematical Modelmentioning

confidence: 99%

“…In addition, it is known from the bounding of the solutions of Equation ( 1), r m = r 0 +νT ρ and B m = K + K βR rm . In Equation ( 14), the constant M is positive, taking M = max(M 1 , M 2 , M 3 , A ) < ∞ which is independent of the state variables, we have Equation (14).…”

Section: Existence Of the Control Problemmentioning

confidence: 99%

Existence of solutions for an optimal control problem in forestry management

Altamirano-Fernández

Rojas‐Palma

Meza

2023

J. Phys.: Conf. Ser.

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“…For example, expansions in reforestation may yield substantial carbon benefits but proper incentives or subsidies need to be provided to cause the expansion and reach the optimal harvest cycle with a reward to all of the extra carbon not a measure relative to gains under small implementations of such practices. Such incentives would also likely gain cobenefits in the form of environmental services [37]. Note however caution would be needed to not get carried away with the cobenefits when they make an alternative look better but if one looks at all alternatives there may be other cases where cobenefits are even greater [38].…”

Section: Conclusion and Policy Implicationsmentioning

confidence: 99%

Unintended Consequences of Agricultural Participation in Voluntary Carbon Markets: Their Nature and Avoidance

et al. 2021

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Greenhouse gas (GHG) trading markets have been widely discussed for climate change mitigation. However in implementation coverage has not been universal. Agriculture, despite being the source of nearly 25% of net emissions, has not commonly been capped. But it has been mentioned as voluntary source of net emission offsets. Such offsets could arise from action reducing GHG emissions, enhancing sequestration, or producing feedstocks for low emitting bioenergy replacements for fossil based energy. This could be harnessed by setting up voluntary carbon markets that producers could join at their discretion. However, such a scheme could have unintended consequences. We conduct theoretical and empirical analyses of a voluntary “carbon” market examining both intended and unintended effects. We find certain participation rules can stimulate rebound effects from emitters and suppress participation from sequestration and bioenergy producing entities. To overcome this we develop and simulate offset participation limitations that could preclude unintended consequences.

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