Table A1.
Indexes, Variables, Functions, and Parameters in the Social Planner Problem.
| Category | Label | Description |
|---|---|---|
| Index | i | Moderate-value forest types in accessible regions |
| j | Low-value forest types (inaccessible regions) in temperate and boreal zones | |
| k | Low-value forest types (semi-accessible type) in temperate and boreal zones | |
| l | Low-value forest types(inaccessible regions)in tropical zones | |
| m | Low-value forest types (semi-accessible regions) in tropical zones | |
| n | High-value forest type | |
| t | Time | |
| a | Age class | |
| P | Pulpwood | |
| S | Sawtimber | |
| b | Biomass | |
| res | Residues | |
| Variable | H | The area of timber harvested (hectares) |
| N | Brand new area planted (hectares) | |
| G | The area of timber regenerated (hectares) | |
| X | Total timber area | |
| Za,t | Stock of management intensity for age class a at time t | |
| Za = 1,t | Management intensity determined at time of planting (a = 1) | |
| q or Q | Timber harvested (cubic meter) | |
| Y | The quantity of other good consumed (measured by gross domestic product (GDP) per capita) | |
| λ | The proportion of timbers for each wood product | |
| Function | V(.) | Yield function |
| D(.) | Inverse demand function | |
| C(.) | Cost of harvesting, accessing, and transporting timberland | |
| MC(.) | Marginal cost function of harvesting, accessing, and transporting timberland | |
| PLANTC(.) | Total cost function of regenerating forests including new plantation | |
| RENT(.) | The opportunity cost of holding timberland by maintaining forests rather than agricultural land use | |
| Δ . | The hectares of area changed when converted from inaccessible into semi-accessible type | |
| RESCOST(.) | Cost of collecting residues on accessible lands | |
| Parameter | φ, τ, δ, π | Parameter in yield function |
| ∅ | Constant in inverse demand functions | |
| θ | Income elasticity of demand functions | |
| ω | Price elasticity of demand functions | |
| α, β | Constant in marginal cost functions for type i, k, m, n | |
| ξ | Constant in marginal cost functions for type n (associated with transportation cost for biomass) | |
| μ, ε | Constant in marginal cost for types j, l | |
| ca, cb, cc | Constant in cost of collecting residues function | |
| e | Establishment cost for new plantation in type n | |
| r | Constant price for a unit of management intensity (Sedjo and Lyon, 1990) | |
| A, η, z | Constant in rental function | |
| d | Decadal discount factor | |
| ρ | Discounting factor |