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Aquatic Environment and Biodiversity Annual Review 2012

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AEBAR <strong>2012</strong>: Protected species: Sea lions<br />

The BFG model is sensitive to several key parameters. Some relate mostly to uncertainty about the<br />

productivity of the NZ sea lion population (including maximum population growth rate, abundance<br />

relative to carrying capacity, maximum rate of pup production, <strong>and</strong> density dependence), whereas<br />

others relate to how the fishery works <strong>and</strong> is managed (including strike rates <strong>and</strong> the survival of NZ<br />

sea lions that interact with SLEDs but are not retained in the net). Conclusions drawn from the BFG<br />

model results are sensitive to prior assumptions about how fast this NZ sea lion population is able to<br />

grow. The maximum population growth rate (lambda, λ) for this population of NZ sea lions is not<br />

known. Fitting the model to the observed data with an uninformative prior led to an estimated<br />

maximum rate of less than 1% per year, potentially as a consequence of attempting to estimate λ for a<br />

declining population. This is a very low maximum growth rate for a pinniped (some suggest a default<br />

value of 12% per year, Wade 1998), so a prior of 8% was applied to the base model. In a sensitivity<br />

run, the model was fitted using a prior of 5% per year, <strong>and</strong> the results were more consistent with the<br />

observed data than when 8% was used.<br />

The estimated abundance of NZ sea lions relative to the carrying capacity of mature individuals at the<br />

Auckl<strong>and</strong> Isl<strong>and</strong>s (K) is another source of uncertainty. When the model is run in the absence of<br />

fishing, the median numbers of mature animals after 100 years was only 94.4% of K as estimated<br />

from the model. Although the population is not presently near K, over this timescale, the population<br />

would normally be expected to approach K. This is thought to be an artefact of the parameterisation of<br />

survival rates in the model, which renders the model conservative when assessing performance<br />

against K (Breen et al. 2010).<br />

The density dependent response for this population of NZ sea lions is largely unknown, although there<br />

is presently no evidence of a density dependent response in life-history traits such as pup mass, pup<br />

survival or female fecundity (Chilvers <strong>2012</strong>b). Ecological principles suggest that, as numbers in a<br />

population decline, individuals compete less with one another for resources. Less competition may<br />

result in NZ sea lions growing faster as well as having lower mortality rates <strong>and</strong> higher rates of pup<br />

production <strong>and</strong> survival. The effect of this type of response is that populations tend to recover from<br />

events that reduce their numbers, <strong>and</strong> populations with strong density dependence recover more<br />

strongly than those with weak density dependence. In the BFG model, the shape of the density<br />

dependent response was “hard wired” in the model <strong>and</strong> assumed to occur entirely in the mortality rate<br />

of pups. The strength of this response is unknown, <strong>and</strong> there was no information to support a strong<br />

preference for any of the assumed values used in sensitivity runs. This means the base model results<br />

may be either conservative or optimistic.<br />

The maximum rate of pup production for this population is not known but can be estimated in the<br />

population model. Other modelling conducted for DOC (albeit using different assumptions, Breen et<br />

al. 2010) suggests that the maximum rate of pup production is

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