Table 1

Model Parameters

ParameterDescriptionValueUnit
Panel A. Objective Function Parameters
a0Intercept of the consumer surplus (CS) function−2.97a$/day
b0Intercept of the user days (UD) function9.32aDays/year
a1Linear parameter of the CS function0.24a$/day/healthy tree
b1Linear parameter of the UD function0.24aDays/healthy tree
a2Quadratic parameter of CS function−0.00017aUnitless
b2Quadratic parameter of UD function−0.0002aUnitless
pTimber prices for young and mature trees0.11, 0.13b$/board feet (BF)
ym,n,tTimber yields for mature trees297cBF/tree
cA, cBBioinvasion treatment cost4d$/invaded tree
ρDiscount factor0.961538Year−1
TForward-looking years (> 5 stages)5, 10,…, 25eYears
Panel B. Spatial-Dynamic Externality Parameters
αShort distance H to Eu transition rate0.69Year−1
Ni,j,tNumber of contiguous Im or Ih neighbors0,…,8Cells
γLong-distance power-law parameter3Unitless
L1Average waiting time between invaded-undetectable and invaded-detectablef1Years
L2Average waiting time between invaded-detectable to invaded-moderateg1Years
L3Average waiting time between invaded-moderate to invaded-highh2Years
τyoungYears between juvenile and young if tree and its immediate neighbors are healthy10Years
τmatureYears between young and mature10Years
I×JGrid GA dimensions49 × 16 = 784Rows × columns
M×NGrid GB dimensions49 × 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 Embedded Image.

  • g Embedded Image.

  • h Embedded Image.