Description and Estimate of Parameters for the Deterministic and Stochastic Problem Specifications of Red-cockaded Woodpecker Recovery in the Palmetto Peartree Preserve
| Parameter | Description | Value |
|---|---|---|
| r | Intrinsic growth rate | 0.13 |
| s | Translocation success rate | 0.25 |
| α | Rate of decrease in carrying capacity due to cavity tree mortality, hardcover encroachment, cavity enlargement, etc. | 0.10 |
| KMAX | Upper bound on carrying capacity | 50 |
| X1,MAX | Upper bound on the number of breeding pairs to be translocated per time period | 6 |
| X2,MAX | Upper bound on the number of artificial cavity clusters to be constructed per time period | 10 |
| N0 | Number of breeding pairs at time t =o | 30 |
| K0 | Number of managed cavity clusters at time t =o | 30 |
| c1 | Cost of translocating one breeding pair | $3,000 |
| c2 | Cost of constructing one artificial cavity cluster (four tree cavities) | $800 |
| εt+1 | Random variable | Pr(εt+1 =. 75) = 0.25 Pr(εt+1 = 1) = 0.5 Pr(εt+1 = 1.25) = 0.25 |
| δ | Discount rate | 0.05 |
| ρ | 1/(1+δ) | 0.95 |
| T | Time horizon | 10 |
| NTT | Population target | 42 |
| Q | Unit penalty when NT< NT* | $40,000 |
| R | Unit bonus when NT> NT* | $5,000 |