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The following supplementary material is available for this article.

Fig. S1. The optimal time-invariant harvest decision for a vulnerable population as a function of recovery rate p and discount rate r.

Fig. S2. Optimal adaptive harvest strategies for the ‘no random collapse’ scenario when the population is in the vulnerable state, with a discount rate of r = 0·05.

Fig. S3. Optimal adaptive harvest strategies for the ‘some random collapse’ scenario when the population is in the vulnerable state, with a discount rate of r = 0·05.

This material is available as part of the online article from: http://www.blackwell-synergy.com/doi/full/10.1111/j.1365-2664.2007.01395.x.

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