Model Parameters
Parameter | Description | Value | Unit |
---|---|---|---|
Panel A. Objective Function Parameters | |||
a0 | Intercept of the consumer surplus (CS) function | −2.97a | $/day |
b0 | Intercept of the user days (UD) function | 9.32a | Days/year |
a1 | Linear parameter of the CS function | 0.24a | $/day/healthy tree |
b1 | Linear parameter of the UD function | 0.24a | Days/healthy tree |
a2 | Quadratic parameter of CS function | −0.00017a | Unitless |
b2 | Quadratic parameter of UD function | −0.0002a | Unitless |
p | Timber prices for young and mature trees | 0.11, 0.13b | $/board feet (BF) |
ym,n,t | Timber yields for mature trees | 297c | BF/tree |
cA, cB | Bioinvasion treatment cost | 4d | $/invaded tree |
ρ | Discount factor | 0.961538 | Year−1 |
T | Forward-looking years (> 5 stages) | 5, 10,…, 25e | Years |
Panel B. Spatial-Dynamic Externality Parameters | |||
α | Short distance H to Eu transition rate | 0.69 | Year−1 |
Ni,j,t | Number of contiguous Im or Ih neighbors | 0,…,8 | Cells |
γ | Long-distance power-law parameter | 3 | Unitless |
L1 | Average waiting time between invaded-undetectable and invaded-detectablef | 1 | Years |
L2 | Average waiting time between invaded-detectable to invaded-moderateg | 1 | Years |
L3 | Average waiting time between invaded-moderate to invaded-highh | 2 | Years |
τyoung | Years between juvenile and young if tree and its immediate neighbors are healthy | 10 | Years |
τmature | Years between young and mature | 10 | Years |
I×J | Grid GA dimensions | 49 × 16 = 784 | Rows × columns |
M×N | Grid GB dimensions | 49 × 16 = 784 | (Trees per acre) |
↵a Values are from Rosenberger et al. (2013), adjusting for tree density per acre in the case of a1 and b1.
↵b New Hampshire Department of Revenue Administration (2016).
↵c Hepp et al. (2015); Smalley et al. (2016).
↵d Ending the analysis at 25 years is consistent with landowner demographics and plans (most private forest landowners are above 65 years of age and plan to sell or transfer their land; U.S. Forest Service 2015).
↵e Lee (2017). This assumes repeated cutting in the spring, summer, and fall to avoid regrowth.
↵f .
↵g .
↵h .