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Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
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A bi-objective mixed-integer linear programming model to optimize thinning schedules in wildfire-prone Pinus
Rafael M Navarro-Cerrillo1, Mauricio Acuna2, Antonio Jesús Ariza-Salamanca1
1Department of Forestry, School of Agriculture and Forestry, University of Córdoba, DendrodatLab-ERSAF; Laboratory of Dendrochronology, Silviculture and Climate Change, Edif. Leonardo da Vinci, Campus de Rabanales s/n, 14071 Córdoba, Spain.
The Science of the Total Environment
|May 1, 2025
Summary
Implementing forest thinning schedules in Canary Islands pine forests can significantly reduce fire risk and improve environmental outcomes. This approach balances economic returns with fire suppression difficulty, offering optimal solutions for forest management.
Area of Science:
- Forestry Science
- Environmental Management
- Operations Research
Background:
- Pinus canariensis forests face frequent fire risks, impacting wood supply and necessitating mitigation strategies.
- Forest managers use multi-objective programming to balance conflicting goals like economic return and fire suppression.
- Silvicultural strategies, such as thinning, are explored to reduce fire's adverse effects.
Purpose of the Study:
- To develop an integrated modelling framework for computing Pareto frontiers in forest management.
- To maximize economic returns while minimizing fire suppression difficulty in Pinus canariensis forests.
- To evaluate the impact of varying thinning schedules on fire risk and economic outcomes across a geographic gradient.
Main Methods:
- Utilized a bi-objective mixed-integer linear programming (ɛ-constrained) approach.
- Developed a modelling framework to compute Pareto frontiers by integrating economic returns and fire suppression difficulty.
- Assessed fire extinction risk and evaluated thinning scenarios across Tenerife, Canary Islands.
Main Results:
- Reduced fire suppression difficulty (SDI) showed limited impact on economic return (under 1.275).
- Thinning schedules and the relative tolerance parameter (β) significantly influenced total SDI and the number of stands thinned.
- Variations in β affected average SDI, thinned area, wood flows, thinning costs, and total return.
Conclusions:
- Effective thinning schedules in fire-prone forests enhance environmental outcomes, even with minor reductions in net economic benefits.
- The Pareto frontier provides multiple optimal solutions, requiring decision-makers to select the most operationally feasible option.
- Integrated modelling frameworks are crucial for balancing competing objectives in sustainable forest management.
Keywords:
Multi-objective linear programmingOptimizationPareto frontier timber managementPine plantationsSuppression difficulty indexThinning schedulingMore Related Videos
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