LaTeX manuscript and scripts for dynamic optimization and empirical analysis of forest management and carbon policy in Ghana.
# Forest Management Under Carbon Constraints: A Dynamic Optimization Analysis for Ghana
This repository contains the complete LaTeX manuscript, data analysis scripts, and optimization results for a research study investigating optimal forest conservation strategies in Ghana. The project integrates historical tree cover loss data from Global Forest Watch (2001–2024) with a dynamic optimization framework to evaluate the trade-offs between agricultural expansion (predominantly cocoa) and ecosystem services.
## Project Objectives
1. **Quantitative Assessment:** Document and analyze historical deforestation patterns in Ghana over the last two decades, disaggregating by driver and region.
2. **Bio-Economic Modeling:** Develop a 100-year dynamic optimization model that accounts for logistic forest growth, carbon sequestration, amenity values, and agricultural opportunity costs.
3. **Policy Simulation:** Identify optimal trajectories for deforestation and reforestation under various carbon pricing and discount rate scenarios.
4. **Threshold Identification:** Determine the critical carbon price thresholds required to shift incentives toward total forest preservation.
5. **Intervention Strategy:** Evaluate the cost-effectiveness of agricultural intensification as a primary lever for reducing land pressure.
## Methodology
### 1. Data Sources
* **Global Forest Watch (GFW):** Annual tree cover loss and gain (2001–2024) at 30m resolution.
* **Driver Classification:** Machine learning-based attribution (Curtis et al., 2018) identifies 89.7% of loss as commodity-driven agriculture (cocoa).
* **Carbon Flux Model:** IPCC Tier 1 emission factors (average 410 Mg CO₂e/ha for clearing) and sequestration rates (1.5 Mg CO₂e/ha/year for regeneration).
### 2. Econometric & Analytical Framework
* **Trend Analysis:** Decomposes annual loss into distinct phases: early acceleration (2001-2006), stabilization (2007-2015), and the recent surge (2016-2024).
* **Regional Heterog …