Article Structure

The rest of this article is structured as follows: First, each of the four basic forces of stock dynamics (eqn [1]) is considered in turn. Then, models that include various combinations of those forces are described, starting with relatively simple models, and progressing to more detailed ones. Finally, we discuss extensions of conventional models. Selected content reflects a decided emphasis on marine systems.

Table 1 Common biological reference points (BRPs) and typical applications as target (TRP) or limit (LRP)

BRP

Description

Application

Mortality-based biological reference points

FMSY

Fishing mortality rate (F) at maximum sustainable yield

LRP

X%FMSY

F equal to X% of FMSY; X<100

TRP

Fcrash

F giving stock extinction

LRP

Fmbp

F at maximum biological production

TRP

Fmax

F giving maximum yield per recruit (YPR)

LRP

F0.1

F where slope of YPR curve is 10% that at the origin

TRP

FX%

F giving X% of spawning biomass per recruit at F=0

LRP

Flow

F giving >50% of years with stock replacement

TRP

Fmed

F giving 50% of years with stock replacement

LRP

Fhigh

F giving <50% of years with stock replacement

LRP

Floss

F giving replacement of lowest observed biomass

LRP

Biomass-based biological reference points

bmsy

Biomass (B) at maximum sustainable yield

TRP

x%bmsy

B equal to X% of BMSY; X> 100

TRP

x%bmsy

B equal to X% of BMSY; X< 100

LRP

Bloss

Lowest observed B

LRP

Bpa

B below which expected recruitment is decreased

LRP

B50%R

B at which recruitment is one half its maximum

LRP

BX%

B corresponding to X% of B at F = 0

LRP

Adapted from Collie JS and Glslason H (2001) Biological reference points for fish stocks In a multlspecles context. Canadian Journal of Fisheries and Aquatic Sciences 58: 2167-2176, with permission from NRC Research Press.

Adapted from Collie JS and Glslason H (2001) Biological reference points for fish stocks In a multlspecles context. Canadian Journal of Fisheries and Aquatic Sciences 58: 2167-2176, with permission from NRC Research Press.

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