Brooks et al.: Stock assessment of protogynous fish 
19 
5 
li 
=> v7 N 
1 
2.0 - 
2.0 - 
1.5 - 
1.5 - 
1.0 - 
1.0 - 
0.5 - 
0 . 5 - 
0.0 - 
1 A 1 1 
y 1 y 1 v- 
- 0.5 - 
- 0 . 5 - 
1.0 - 
- 1 . 0 - 
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 
0.2 04 
0.8 
1 6 
0.4 0.8 1.6 
Sloped y 
0.5 0.6 0.7 
Sleepness (k) 
Figure 2 
Box-percentile plots of relative error (RE) in estimates of biological reference points, shown 
across levels of steepness in fertilization (k) and slope of sex transition (/} ). Rows corre- 
spond to the measure of spawningjoiomass (female, male, or both) used in the assessment 
model. (A) RE in F, 
MSY 
(B) RE in S MSY . Values of S MSY were calculated separately for each 
measure of spawning biomass as in Equation 9. Width at each percentile is proportional 
to the percent of observations more extreme than that percentile. The 25 th , 50 th , and 75 th 
percentiles are indicated by horizontal lines within each box-percentile plot. Distributions 
of RE in MSY and SPR msy were qualitatively similar to F MSY , but were less variable 
(typically ±0.5). 
