Table 2 Criteria and equations used to calculate the conservation prioritization score, Wt, for each species of Sebastidae and for each taxa of structural corals.

From: Hotspots for rockfishes, structural corals, and large-bodied sponges along the central coast of Pacific Canada

Taxonomic group

Criteria

Proxy variable

Score

Sebastidae (rockfish and thornyheads)

Vulnerability

Intrinsic population growth rate, r

\(Score_{1} = x_{1} \left( {\frac{\frac{1}{r}}{{max\left( \frac{1}{r} \right)}}} \right),\)

where \(x_{1} = 4\)

 

Depletion level

By/B0

(median estimate of spawning biomass during year y, divided by the “unfished” biomass)

\({Score}_{2}={x}_{2}\left(\frac{1-\left(\frac{{B}_{y}}{{B}_{0}}\right)}{max\left(1-\left(\frac{{B}_{y}}{{B}_{0}}\right)\right)}\right),\)

where \({x}_{2}=4\)

 

Ecological role

Trophic Level, TL

\({Score}_{3}={x}_{3}\left(\frac{TL-\mathrm{min}(TL)}{\mathrm{max}(TL)-\mathrm{min}(TL)}\right),\)

where \({x}_{3}=2\). A min–max normalization is used to highlight differences between planktivores and upper-level predators within the relatively narrow range of TL values for Sebastidae

 

Evolutionary distinctiveness, ED

None (direct measure14)

\({Score}_{4}={x}_{4}\left(\frac{ED}{\mathrm{max}(ED)}\right),\)

where \({x}_{4}=2\)

 

Overall species score, Wt

 

\({W}_{t}=\frac{\sum_{i=1}^{4}{Score}_{i}}{\sum_{i=1}^{4}{x}_{i}}\)

Where \({x}_{i}=0\) if \({Score}_{i}\) cannot be calculated for that species (i.e., missing data for proxy variable)

Structural corals

Overall species score, Wt

Mean height, h (cm)

\({W}_{t}=\frac{h}{\mathrm{max}(h)}\)