Optimal control of an invasive species using a reaction‐diffusion model and linear programming

• DOI: 10.1002/ecs2.1979
• Publication Date: 2017-10-24T16:12:39Z
• Authors: Mathieu Bonneau; Fred A. Johnson; Brian J. Smith; Christina M. Roma...; Julien Martin; Frank J. Mazzotti
• Keywords: Framing (construction)

Abstract Managing an invasive species is particularly challenging as little generally known about the species’ biological characteristics in its new habitat. In practice, removal of individuals often starts before studied to provide information that will later improve control. Therefore, locations and amount control have be determined face great uncertainty with a limited resources. We propose framing spatial linear programming optimization problem. This formulation, paired discrete reaction‐diffusion model, permits calculation optimal strategy minimizes remaining number invaders for fixed cost or containment protecting specific areas from invasion. computing range possible model parameters, representing current on invasion scenarios. Then, best can identified depending risk attitude decision‐maker. use this framework study Argentine black white tegus ( Salvator merianae ) South Florida. There tegu demography we considered several combinations exhibiting various dynamics For one‐year budget, show risk‐averse strategy, which optimizes worst‐case scenario tegus’ dynamics, risk‐neutral expected scenario, both concentrated close point introduction. A risk‐seeking best‐case focuses more models where eradication cell consists spreading much possible. establishment area, assuming exponential growth methods it might not implement such some considered. Including different allows examination how perform accounts decision‐maker designed.