Appendix S5 – Case study application 1. Action portfolios Every combination of invasive species on each island was considered as a potential action, except in the case of Macquarie Island. In consultation with experts, we determined that on Macquarie Island, eradication of mice but not rats would be impossible (as rats would consume the bait, depleting available bait to below a critical density require for mouse eradication). We therefore did not allow any package that contained mouse eradication in the absence of rat eradication. 2. Ecological benefit We estimated the island population of each species of concern using a combination of a literature review and expert elicitation. Two of the invasive-species states we consider have been observed on these case study islands: all invasive species present, and no invasives present (because all islands in our case study have had all invasives successfully eradicated). The other potential states of the islands (all possible combinations of invasive species) is more complex to estimate. Here we estimated abundances of species of concern in these alternative invasive-species states using expert estimation and observed invasive-threatened species interaction effects from the literature (see Appendix 1). 3. Feasibility Gregory et al. (2014) found a number of univariate relationships between island attributes and the probability of successful eradication on islands for various types of invasive species. We used their formula relating island size to probability of success to calculate the feasibilities of eradicating each invasive species from each island (see Appendix 2). Future applications of this framework could incorporate managers’ confidence in the feasibilities of the proposed eradication. 4. Costs of action packages We used the relationship found by Martins, Brooke et al. (2006) relating the size of an island with the cost of eradicating various invasive vertebrate species (see Appendix 3). We recognize that this statistical estimator will underestimate the costs of eradication from Macquarie Island due to its isolation, however since this is an illustrative prioritization, we accept this difference. Unfortunately, these models do not consider how the cost of actions will increase when multiple actions (an action package) are performed on one island. We used expert advice to determine how the costs of individual actions combine on each island. For example, since rat and mouse eradication on Macquarie Island can share costs of both baits and helicopter time, eradicating both at once costs less than the sum of the costs of the two individual actions. Gregory, S. D., Henderson, W., Smee, E., Cassey, P. (2014). Eradications of vertebrate pests in Australia: A review and guidelines for future best practice. PestSmart Toolkit publication. Canberra, Australia, Invasivse Animals Cooperative Research Centre: 76. Martins, T. L. F., et al. (2006). "Costing eradications of alien mammals from islands." Animal Conservation 9(4): 439-444.
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