We use Geographical Information Systems (GIS) to map the current and future populations of an invasive species, Miconia calvescens, on the island of Oahu, Hawaii, and the potential damages to water quantity, water quality, endangered bird habitat, and native habitat housing endangered plants, snails, and insects. We develop a control cost function that includes locating and treating Miconia plants. Using optimal control theory, we find the spatially dependent optimal population levels of Miconia and the paths to these populations over time.
Published: Burnett, K. M., Kaiser, B. A., and Roumasset, J. A., 2007. Invasive Species Control over Space and Time: Miconia calvescens on Oahu, Hawaii. Journal of Agricultural and Applied Economics, 39 (October 2007), 125-132.