The University of Arizona

Invasive Species Control Based on a Cooperative Game | CLIMAS

Invasive Species Control Based on a Cooperative Game

TitleInvasive Species Control Based on a Cooperative Game
Publication TypeArticles
Year of Publication2013
AuthorsBüyüktahtakin, E, Feng, Z, Frisvold, G, Szidarovszky, F
JournalApplied Mathematics
Volume4
Issue10B
Pagination54-59
KeywordsBuffelgrass, Cooperative Games, Integer Programming, Non-Native Invasive Species, Optimal Control, Shapley Value
Abstract

We develop a long-term dynamic model for controlling invasive species using the theory of cooperative games. The model is applied to control of invasive buffelgrass in the Arizona desert, which directly competes with indigenous species and can increase wildfire risk. Interest groups care about damages to three threatened resources: saguaro, cactus, riparian vegetation, and buildings. The model optimally allocates labor and a budget to protect these resources by controlling the buffelgrass population over a multi-period planning horizon. The solution is based on computing the Shapley values for the interest groups. A homeowner strategy of creating defensible space around structures to protect against wildfire affords less protection to the other resources. A similar result holds for protection of saguaros, which are also spatially concentrated. Under the optimal solution, groups caring about spatially-dispersed, riparian vegetation would compensate homeowners and groups caring about saguaros for a reallocation of resources toward greater protection of dispersed vegetation. Results highlight the importance of the spatial configuration of players and the resources they wish to protect in invasive species control problems.

DOI10.4236/am.2013.410A2005