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Fogarty et al.: Production models for demersal fisheries<br />

253<br />

Environmental effects<br />

Fig. 6. Cumulative frequency distribution of fish<strong>in</strong>g mortality<br />

at maximum susta<strong>in</strong>able yield (F MSY ) levels for s<strong>in</strong>glespecies<br />

production model results for the 12-species system.<br />

Solid vertical l<strong>in</strong>es <strong>in</strong>dicate the values for <strong>in</strong>dividual species<br />

results. The dashed vertical l<strong>in</strong>e <strong>in</strong>dicates the position of the<br />

aggregate species F MSY value<br />

The AMO <strong>in</strong>dex has steadily <strong>in</strong>creased over the<br />

last 3 decades (Fig. 8). The first decade of the standardized<br />

NAO series was dom<strong>in</strong>ated by negative<br />

anomalies, followed by a preponderance of positive<br />

anomalies punctuated by some sharp reversals <strong>in</strong> the<br />

mid-1990s (Fig. 8). The ERSST series reflects generally<br />

low temperature values <strong>in</strong> the 1960s and generally<br />

high values <strong>in</strong> the last decade (Fig. 8). An exam<strong>in</strong>ation<br />

of the cross-correlations between ASP and<br />

each of the 3 environmental variables <strong>in</strong>dicated<br />

potential effects of NAO at a lag of 0 and for ERSST<br />

at a lag of 2 yr (Fig. 9). We <strong>in</strong>cluded these terms both<br />

together and <strong>in</strong>dividually <strong>in</strong> extended production<br />

models to test for environmental effects. The change<br />

<strong>in</strong> AIC c scores (Δ AIC c ) was low <strong>in</strong> all cases (Table 3),<br />

suggest<strong>in</strong>g that further consideration of these environmental<br />

terms was not warranted at this time.<br />

Generally, a decrease <strong>in</strong> the AIC scores greater than<br />

2 is required to be considered mean<strong>in</strong>gful (Burnham<br />

& Anderson 1998), and our results did not meet this<br />

threshold.<br />

DISCUSSION<br />

Substantial progress is now be<strong>in</strong>g made <strong>in</strong> develop<strong>in</strong>g<br />

and implement<strong>in</strong>g approaches for mar<strong>in</strong>e ecosystem-based<br />

fishery management (e.g. L<strong>in</strong>k 2010,<br />

Belgrano & Fowler 2011, Christensen & Maclean<br />

2011). A diverse set of model<strong>in</strong>g tools is be<strong>in</strong>g used to<br />

guide management options as shown <strong>in</strong> these recent<br />

compilations. For the Northeast US Cont<strong>in</strong>ental<br />

Shelf, a long tradition of multispecies and ecosystem<br />

model<strong>in</strong>g efforts has been used to explore aspects of<br />

the dynamics of the system <strong>in</strong> response to exploitation.<br />

Along a cont<strong>in</strong>uum from simple to complex<br />

model structures, these <strong>in</strong>clude aggregate-species<br />

surplus production models (Brown et al. 1976), multispecies<br />

production models (Sissenw<strong>in</strong>e et al. 1982,<br />

Gamble & L<strong>in</strong>k 2009), donor-controlled multispecies<br />

models (Overholtz & Tyler 1986), recipient-controlled<br />

Fig. 7. Relationship between maximum susta<strong>in</strong>able yield<br />

(MSY) and biomass at MSY (B MSY ) estimates based on<br />

Groundfish Assessment Review Meet<strong>in</strong>g (GARM) and hake<br />

assessment results (NEFSC 2008) and s<strong>in</strong>gle-species production<br />

model results. The 1:1 l<strong>in</strong>e is <strong>in</strong>dicated, and (m) represents<br />

the summed estimates for each model<strong>in</strong>g approach.<br />

The <strong>in</strong>sets at the lower right of each panel show only the <strong>in</strong>dividual<br />

species results and not the total. Statistical comparisons<br />

(Spearman rank-order correlations) were done only on<br />

the <strong>in</strong>dividual species results

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