Table 1. Parameter definitions and values.
Symbol | Definition | Value | Source |
r | Fecundity of trees | 0.06/yr | [11] |
A | Transmission rate of pest | 6.5×10−4/yr | [7], [11], [15] |
d | Between-patch transmission | 0.05 | – |
ε | Time to fatality for infested trees | 3 yr | [4], [16] |
Cl | Cost of buying local firewood | $6.75 | † |
Ct | Cost of transporting firewood | $5.00 | ‡ |
n | Strength of social norms | – | – |
f | Impact of outbreak on decisions | – | – |
Ki | Carrying capacity in patch i | 5000 | [7] |
σ | Imitation dynamic | – | – |
a | Allee effect threshold | 1 | – |
The cost of local firewood was determined by personal communication with Ontario Parks.
The cost of transporting firewood was determined by observation of costs of firewood available for private sale.