Atlantis operating model equations



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3. Fishing mortality

Many different fishing mortality equations were used depending on the scenario of fishery of interest. The general form of the amount caught at time t is given by:



(D.1)

where, is the proportion of FXi at the depth the fishing gear is sweeping, is the proportional escapement (either constant or size-based), the accessibility of FXi for the fishery FC () is given by either simple percentage overlap of the habitats occupied by FXi using :

or the distribution model developed by Ellis and Pantus (2001):



(D.2)

where hFXi is the catchability of the age class i of FX (see equations (D8) to (D12)), FC,FX is the proportional overlap of fishery FC and vertebrate group FX, FC is the cover of the fishery, pattern is the distribution of the fishing within the area, patch is the number of patch types in the area; and finally the effort applied is given by



(D.3)

with mFC,FX the current coefficient of fishing mortality for FX by fishery FC (it can change through time as fishing pressure changes) – it is the percentage of total effort (of the FC fishing fleet) concentrated in cell j if the fleet was allowed to act at will; qFC,FX is the selectivity coefficient of the gear used by fishery FC on FX, and a,j,FC,FX is the adjustment to the final rate due to management actions currently applied in cell j (this can also change through time). As indicated by (D.1) and (D.2) the fishing implemented for is a variation on the simple catch equation.





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