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362<br />

J. Touza, K. Dehnen-Schmutz, and G. Jones<br />

the last unit of prevention equals the additional benefits. This condition<br />

would include the uncertain effects which the measures taken have on the<br />

invasion. Their analysis implies that, when there are a large number of firms,<br />

it is not optimal for any of the firms to undertake biosecurity actions because<br />

chances are that the species will invade anyway. When there is uncertainty,<br />

however, it is optimal to employ more resources in preventing high-damage<br />

events which are considered possible. The key factor is thus the level of surprise<br />

that the decision makers will expect if the invasion takes place, and prevention<br />

expenditures focus on those potential invasions with low levels of<br />

surprise.<br />

From a post-invasion perspective, Olson and Roy (2002) include the uncertainty<br />

of the effects of environmental disturbances on the spread of an<br />

invader when examining the conditions under which it is optimal to eradicate.<br />

They recognise that there may be disturbances which make the invasion<br />

small enough for eradication to be inevitable. They conclude that eradication<br />

is optimal if the marginal costs of controlling a small invasion are less than<br />

the marginal damage (i.e. marginal benefits of controlling), including future<br />

damages due to the expected spread of the invader. Note that because future<br />

damages are included in this condition, eradicating may be optimal even if<br />

the marginal costs of control are larger than the current damages.<br />

Using expert opinions may reduce uncertainty in management decisions.<br />

Eiswerch and van Kooten (2002) identified optimal control management by<br />

consulting experts about the state of the invasion, its spread and its impacts.<br />

Their study of the agricultural weed yellow starthistle (Centaurea solstitialis)<br />

demonstrates that, as the productivity of the land increases, the optimal management<br />

strategy should have higher levels of control activities but, in this<br />

case, it would not be optimal to eradicate the species. Waage et al. (2004) use<br />

Monte Carlo analysis simulation to include uncertainty in a range of biological<br />

and economic parameters (which may reflect a range of expert opinion or<br />

historic evidence). The uncertain parameters include likelihood of entry, the<br />

intrinsic rate of spread, potential yield losses, and export losses. This paper<br />

seeks to develop tools to aid governments in their need to know the identity<br />

and magnitude of future non-native species risks, and uses this information<br />

to anticipate and allocate resources efficiently between IAS.<br />

20.5 Discussion<br />

Given the importance of human interactions in determining the scale and<br />

speed of invasions, economists have become increasingly interested in the<br />

analysis of policies to manage IAS. In this chapter, we surveyed this economic<br />

literature mainly from the perspective of prevention measures. This analysis<br />

shows that, so far, few economic studies have concentrated on the assessment

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