Adaptive management improves decisions about where to search for invasive species
Introduction
A primary concern for invasive species managers is how best to allocate surveillance and control effort through space (Chadès et al., 2011, Epanchin-Niell et al., 2012, Hauser and McCarthy, 2009, Regan et al., 2011). Achieving this requires the predicted location of the invasive species, now and/or in the future. Expert opinion (Williams et al., 2008), species distribution models that correlate occurrence with environmental attributes (Elith et al., 2010, Guisan et al., 2013), or other spatial population and spread models (Adams et al., 2015, Caplat et al., 2012, Coutts et al., 2011, Gallien et al., 2010) can provide these predictions.
However these predictions are made, they will come with some uncertainty. Expert judgements can be biased, although bias can be minimised by using structured elicitation processes (Martin et al., 2012, Sutherland and Burgman, 2015). Predictive models are simplifications that will imperfectly represent biological relationships (Levins, 1966). In addition, imperfect detection means that occupancy or abundance cannot be known perfectly, even if a landscape were comprehensively surveyed (Chen et al., 2013, Garrard et al., 2008, MacKenzie and Kendall, 2002, Moore et al., 2011, Royle et al., 2005). If we ignore this uncertainty and treat our point predictions as the true species distribution, our survey designs may be suboptimal. This increases the risk of missing infestations where they occur, and applying excessive effort where they do not.
While optimal surveillance designs have been developed for a wide range of species invasions, few consider uncertainty in species distribution and abundance. Methods for optimally allocating search effort generally assume that occurrence probabilities are accurately predicted by models (Chadès et al., 2011, Hauser and McCarthy, 2009, Regan et al., 2011) or species abundance is uniform across the landscape (Epanchin-Niell et al., 2012, Rout et al., 2014, Rout et al., 2011). Alternatively, search effort can be allocated to maximise the probability of achieving an acceptable outcome in the face of uncertainty (McCarthy et al., 2010). None of these approaches aim to reduce uncertainty about abundance in different locations. A notable exception is Baxter and Possingham (2011), who modelled the Receiver Operating Characteristic curve of an uncertain distribution map and calculated the trade-off between searching for the species and reducing uncertainty in the distribution map. They found that under long management time frames, initial investment in learning about species distribution increased the likelihood of eradication. Acknowledging and planning for uncertainty in distribution and abundance when designing surveys can, therefore, improve invasive species management outcomes.
Adaptive management is a solution to the problem of managing systems under uncertainty (Parma et al., 1998). This approach to management not only acknowledges uncertainty and its effect on decision-making, but also seizes opportunities to reduce this uncertainty (Walters, 1986). The two types of adaptive management, passive and active, both use the information learned through management to improve future decision-making. Active adaptive management involves planning ahead for future learning opportunities, and may involve decisions that sacrifice current management performance in return for information that will improve management performance in the future (Williams, 2001). In contrast, passive adaptive management takes the best action at each time point given the current state of knowledge, updating that knowledge after the results of the action are observed.
Optimal adaptive management theory has been applied to harvesting of fish (Walters, 1981, Walters et al., 1993, Walters and Hilborn, 1976) and waterfowl (Nichols et al., 1995, Williams and Johnson, 1995), vegetation restoration (McCarthy and Possingham, 2007), reintroduction (McCarthy et al., 2012, Rout et al., 2009), metapopulation management (Southwell et al., 2016), and threatened species management (Chadès et al., 2012, Moore and Conroy, 2006). While it is potentially useful for invasive species management (Shea et al., 2002), there have been no applications thus far.
This paper investigates whether adaptive management is a useful approach for spatially allocating search and management effort for invasive species under uncertainty. We outline a simple illustrative problem of allocating effort between two sites of uncertain habitat suitability for a species, with the aim of finding and removing as many individuals as possible. Searching a site not only finds individuals, but also increases confidence in estimates of total abundance at that site, which should in turn improve future allocation decisions. Although searching for invasive plants usually occurs across a much greater number of sites, condensing this to the simplest two-site problem is necessary to find the optimal active adaptive management strategy. We investigate the extent to which active and passive adaptive management approaches can increase the number of individuals found and removed, as compared to a naïve allocation or common sense rules of thumb. We then discuss the implications for landscape-scale search and removal of invasive plants.
Section snippets
Optimisation framework
We considered two sites to be surveyed for a plant population. Across a series of T surveys, a searcher aims to find as many plants as possible. However, the abundance of plants in each site i is unknown, and could be between 0 and Nimax individuals. We developed an optimisation model to find the best way to allocate search effort between the two sites.
Each survey (t = 1, …, T) has a budget of effort Bt to be allocated between the sites. The decision variable is the amount of effort allocated to
Optimal adaptive strategies
The prevalence of different search allocations (i.e., the percentage of states for which each allocation is optimal) differed under passive and active adaptive management (Fig. 1). In the first survey (t = 1) there has been no prior search of either site, so there is a single possible state (X1 = 0, C1 = 0, C2 = 0). Under passive adaptive management with uninformative priors, the optimal allocation for this state was to split search effort equally between the two sites. Splitting search effort is
Discussion
Our study demonstrates that adaptive management can help allocate search and management effort for invasive species. We found clear benefits to employing an adaptive search strategy over uniform search effort allocation or simple rules of thumb when species abundance and distribution are uncertain, and when aiming to maximise the number of individuals found and removed. However, the benefits of adaptive management will depend on the management objective. A different objective, for example,
Acknowledgements
This work was supported by an Australian Research Council (ARC) Discovery Grant (DP110101499) to TMR and JLM, and the ARC Centre of Excellence for Environmental Decisions (CE110001014). CEH was supported by an ARC Linkage Grant (LP100100441; 40%), the NERP Environmental Decisions Hub (20%), and an ARC Discovery Grant (DP160100745; 40%) to JLM.
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T.M.R. and C.E.H. are both first authors and made equal contributions to the manuscript.