Three studies are presented that develop mathematical programming methods for addressing sustained optimal management of mobile natural resources. In the first study, a discrete-time reaction-diffusion model for black-footed ferret release, dispersal, and population growth is combined with habitat carrying capacity constraints based on prairie dog population management decisions. The model optimizes the spatial arrangement of a limited number of active prairie dog colonies. In the second study, a wildlife viability optimization model is developed to convert a given set of initial forest conditions, through a combination of natural growth and management treatments, to a sustainable forest system which meets the joint habitat needs of multispecies populations. In the third study, a spatial optimization model is developed for limiting cumulative effects of forest treatments in watersheds by determining treatment schedules and arrangements that satisfy peak stormflow constraints for modeled storm events. |