1. A species has “arrived” when it is present in either natural or agricultural ecosystems. Arrival can occur through natural or human assisted migration, escape, or intentional introduction. A species is considered “established” when it attains a self-sustaining population.
2. A state variable z(t), the rate of subsequent discovery avoided, k(Ea ), and the intrinsic growth rate, g(Q) are assumed to be constant at t = T.
3. An increase in the term F(t)k(Ea ) reduces the rate of species population growth. A reviewer correctly pointed out that there will be one response in the species population conditional on discovery and another on non-discovery. However, the resulting decision tree will be too complicated for modeling purposes. Equation (2) provides an approximation.
4. Ranjan R. Marshall L. and Shortle J. 2003. “Optimal Renewable Resource Management in the Presence of Endogenous Risk of Invasion.” Presented at the annual meetings of the American Agricultural Economics Association, Montreal, Canada, August 3–6.