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Published on: June 30, 2020
Optimal harvesting in forestry: steady-state analysis and climate change impact
Natali Hritonenko1, Yuri Yatsenko, Renan-Ulrich Goetz
1Department of Mathematics, Prairie View A&M University, Box 519, Prairie View, TX 77446, USA. nahritonenko@pvamu.edu
Journal of Biological Dynamics
|October 30, 2012
Summary
This study analyzes forest management strategies to maximize timber profits. It models how climate change impacts optimal harvesting, tree size, and long-term forest benefits.
Area of Science:
- Ecological economics
- Forestry science
- Mathematical modeling
Background:
- Forest management involves complex dynamics influenced by harvesting and ecological factors.
- Optimizing timber production requires understanding long-term economic and ecological impacts.
- Climate change introduces additional variables affecting forest ecosystems and management strategies.
Purpose of the Study:
- To perform a steady-state analysis of a nonlinear partial differential equation model for managed size-structured forests.
- To determine the optimal harvesting policy that maximizes net benefits from timber production over an infinite horizon.
- To estimate the long-term effects of climate change on forest management, harvesting, and economic returns.
Main Methods:
- Development and analysis of a nonlinear partial differential equation model.
- Steady-state analysis to determine equilibrium conditions.
- Mathematical derivation of closed-form solutions for specific scenarios.
- Simulation and analysis of climate change impacts on model parameters.
Main Results:
- Existence and uniqueness of steady-state trajectories were established.
- Closed-form steady states were derived for specific cases.
- Quantified the impact of climate change on optimal harvesting regimes.
- Estimated changes in tree diameter, number of logged trees, and net benefits due to climate change.
Conclusions:
- The study provides a robust framework for analyzing managed forest dynamics under climate change.
- Optimal harvesting strategies and economic outcomes are sensitive to climate change variables.
- Findings inform sustainable forest management practices and policy decisions in a changing climate.
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