A Robust Optimization Model for an Invasive Species Management Problem
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Invasive species pose a significant threat to global biodiversity. Managing invasive species often involves modeling the species’ spread pattern, estimating control costs and damage costs due to the invasion, designing control efforts, and accounting for uncertainties in model parameters. Dealing with uncertainty is arguably the most important part of the process, since biological, environmental, and economic factors can cause parameter values to vary greatly. Managers need decision tools that are robust to such limited or variable information. Here, we present a robust spatial optimization model to select treatment sites in a way that maximally reduces the size of an invasive population, given a constraint on financial resources. We develop an integer programming model that includes population dynamics and management costs over space and time. The model incorporates uncertainty in the available budget and the invasive spread rate as sets of discrete scenarios to determine a robust, cost-effective management plan in a novel way.
KeywordsInvasive species management Site selection problem Integer programming Parameter uncertainty Robust optimization
Panos M. Pardalos was partially supported by the Paul and Heidi Brown Preeminent Professorship in ISE at the University of Florida.
The authors thank anonymous reviewers for helpful comments that have enhanced this paper.
- 6.Baker, CM. (2016). Target the source: optimal spatiotemporal resource allocation for invasive species control. Conservation Letters pp n/a–n/a.Google Scholar
- 10.Ben-Tal, A., Ghaoui, LE, Nemirovski, A. (2009). Robust optimization. Princeton series in applied mathematics. Princeton University Press.Google Scholar
- 21.Chalak, M., Pannell, D.J., Polyakov, M. (2011). Economics of controlling invasive species: a stochastic optimisation model for a spatial-dynamic process. In Agricultural and applied economics association 2011 annual meeting. Pittsburgh, Pennsylvania.Google Scholar
- 22.Diamond, C, Davis, D, Schmitz, D.C. (1991). Economic impact statement: the addition of melaleuca quinquenervia to the florida prohibited aquatic plant list. In Proceedings of the symposium on exotic pest plants, US Dept. Interior/National Park Service Washington (pp. 87–110).Google Scholar
- 24.Early, R., Bradley, B.A., Dukes, J.S., Lawler, J.J., Olden, J.D., Blumenthal, D.M., Gonzalez, P., Grosholz, E.D., Ibañez, I, Miller, L.P., et al. (2016). Global threats from invasive alien species in the twenty-first century and national response capacities. Nature Communications, 7.Google Scholar
- 39.Kouvelis, P, & Yu, G. (1996). Robust discrete optimization and its applications (nonconvex optimization and its applications (closed)), 1st edn. Springer.Google Scholar
- 40.Laroche, F. (1994). In Melaleuca management plan for Florida. Exotic Pest Plant Council, 88.Google Scholar
- 41.Leung, B, Lodge, D.M., Finnoff, D, Shogren, J.F., Lewis, M.A., Lamberti, G. (2002). An ounce of prevention or a pound of cure: bioeconomic risk analysis of invasive species. In Proceedings of the royal society b: biological sciences (pp. 2407–2413).Google Scholar
- 43.Mazzotti, F., Ostrenko, W., Smith, A. (1981). Effects of the exotic plants melaleuca quinquenervia and casuarina equisetifolia on small mammal populations in the eastern florida everglades. Florida Science, 44(2), 65–71.Google Scholar
- 46.Moody, M.E., & Mack, R.N. (1988). Controlling the spread of plant invasions: the importance of nascent foci. Journal of Applied Ecology, 1009–1021.Google Scholar
- 52.Schmitz, D., & Hofstetter, R. (1994). Environment, economic and human impact. In Laroche, F.B. (Ed.) Melaleuca management plan for Florida. Exotic Pest Plant Council.Google Scholar
- 54.Serbesoff-King, K. (2003). Melaleuca in florida: a literature review on the taxonomy, distribution, biology, ecology, economic importance and control measures. Journal of Aquatic Plant Management, 41, 98–112.Google Scholar
- 56.Wainger, L.A., King, D.M., Mack, R.N., Price, E.W., Maslin, T. (2008). Prioritizing invasive species management by optimizing production of ecosystem service benefits. Tech. rep., contractor and Cooperator Report No. 44.Google Scholar