Fig. S1. Vulnerability at age for the fishery and maturity at age calculated for Sebastes mentella (upper

panel) and S. fasciatus (lower panel) from the base case operating model. The two time-blocks for the

fishery were calculated from the estimated fraction retained at age and an offset vector (see Fig. A2;

Table S1.C4-C5). Note that a minimum age of vulnerability and maturity were applied to the proportion

at age (see Table A2). These values were based on literature (e.g., maturity) and empirical observations

from the retained catch at length data.

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Fig. S2. Offset input vector (red line) used to calculate the vulnerability at age (green line) based on the

estimated fraction retained at age (blue line) for S. mentella (upper panel) and S. fasciatus (lower panel)

from the base case operating model (see equations S1.C4-C5). Two time-blocks were applied, the first up

to 1993 and the 2nd following 1993. Note that both species had the same offset vector.

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Fig. S3. Input vector for the catch biomass killed to catch biomass retained ratio for S. mentella and S.

fasciatus from the base case operating model (see equation S1.C11). The values were formulated by an

interview-based study on historic discarding practices (see Duplisea 2016 for details).

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Fig. S4. Observed catch at length (bars) for S. mentella from the DFO survey in Unit 1 and fit (red line)

based on the base case operating model (OM1). S. fasciatus cohorts belonging to the Grand Banks

(Valentin et al. 2015) were removed from the composition data. The method employed was relatively

simple. Essentially the abundance in length classes between 7 and 17 cm (inclusive) were set equal to the

mean abundance in those classes for years adjacent to the arrival and departure of the cohorts. For

example, the 2003 year class is present from about 2005-2008 and between lengths of about 7 and 17 cm.

Therefore, the abundance for 7 cm individuals in all years from 2005 to 2008 was set equal to the mean

abundance of 7 cm individuals in 2004 and 2009.

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Fig. S5. Observed catch at length (bars) for S. mentella from the Groundfish Enterprise Allocation

Council (GEAC) survey in Unit 2 and fit (red line) based on the base case operating model (OM1). The

survey was designed for the DFO (Kulka and Atkinson 2016).

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Fig. S6. Observed catch at length retained (bars) for S. mentella from in Unit 1+2 and fit (red line) based

on the base case operating model (OM1). Length compositions for 2017 were not included in the model

because records were incomplete at the time of this study.

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Fig. S7. Observed catch at length (bars) for S. fasciatus from DFO survey in Unit 1 and fit (red line)

based on the base case operating model (OM1). S. fasciatus cohorts belonging to the Grand Banks

(Valentin et al. 2015) were removed from the composition data (see Fig. S4 for a description).

7

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Fig. S8. Observed catch at length (bars) for S. fasciatus from the GEAC survey in Unit 2 and fit (red line)

based on the base case operating model (OM1). The survey was designed for DFO (Kulka and Atkinson

2016).

8

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Fig. S9. Observed catch at length retained (bars) for S. fasciatus from in Unit 1+2 and fit (red line) based

on the base case operating model (OM1). Length compositions for 2017 were not included in the model

because records were incomplete at the time of this study.

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Fig. S10. Recruitment deviates (upper panel) and standardized residuals for fit of the survey biomass

indices in Unit 1 (blue dot) and 2 (red dot) for S. mentella (lower panel) based on the base case operating

model (OM1). Note strong cohorts were defined as recruitment deviates greater than 2.5 in logarithm

space.

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Fig. S11. Recruitment deviates (upper panel) and standardized residuals for fit of the survey biomass

indices in Unit 1 (blue dot) and 2 (red dot) for S. fasciatus (lower panel) based on the base case operating

model (OM1). Note strong cohorts were defined as recruitment deviates greater than 2.5 in logarithm

space.

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Fig. S12. Retrospective analysis for the time series of spawning stock biomass, recruitments, and harvest

rates for S. mentella (upper panel) and S. fasciatus (lower panel), based on the base case operating model

(OM1).

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Fig. S13. Average proportion of the simulations where the ratio of the harvest rate (Ut) to the harvest rate at MSY (Umsy) is less than 1 for S.

mentella and S. fasciatus for the 40 years of projections and the 21 management procedures (MPs) under the core (upper panel) and stress

operating models (lower panel)(see Table A6). Dots show medians. The label on the x-axis indicates: the assigned number for the MP, capped (C)

or uncapped MPs, and the starting year for the HCR (see Tables S4-5). The horizontal line indicates the pass criteria.

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Fig. S14. Average number of years where fish < 22cm represent <15% of the catch over the 40 years of projections for the 21 management

procedures (MPs) under the core (upper panel) and stress operating models (lower panel)(see Table A6). Dots show medians and bars shown the

90% intervals. The label on the x-axis indicates: the assigned number for the MP, capped (C) or uncapped MPs, and the starting year for the HCR

(see Tables S4-5). The horizontal line indicates the pass criteria.

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Fig. S15. Average catch retained (in kt) for the 10-20 and 10-40 year horizon for the 21 management procedures (MPs) under the stress operating

models (see Table A6). Dots show medians and bars shown the 90% intervals. The label on the x-axis indicates: the assigned number for the MP,

capped (C) or uncapped MPs, and the starting year for the HCR (see Tables S4-5).

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130

Fig. S16. Average proportion of the simulations where the catch limit (CL) exceeded 40kt for the 2028-

2057 year horizon for the 21 management procedures (MPs) under the core (upper panel) and stress

operating models (lower panel) (see Table A6). Dots show medians. The label on the x-axis indicates: the

assigned number for the MP, capped (C) or uncapped MPs, and the starting year for the HCR (see Tables

S4-5).

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140

Fig. S17. Average number of years where the catch limit (CL) exceeded 40kt for the 2028-2057 year horizon for the 21 management procedures

(MPs) under stress operating models (see Table A6). Dots show medians and bars shown the 90% intervals. The label on the x-axis indicates: the

assigned number for the MP, capped (C) or uncapped MPs, and the starting year for the HCR (see Tables S4-5).

19

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Fig. S18. Trade off plot between the average catch retained (in kt) for the 2028-2057 year horizon where

the catch limit (CL) exceeded 40kt for the 2028-2057 for the 21 management procedures (MPs) under the

core (see Table A6). Dots show medians. The label on panels indicates: the assigned number for the MP,

capped (C) or uncapped MPs, and the starting year for the HCR (see Tables S4-5).

20

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147

148

149

Fig. S19. Trade off plot between the average catch retained (in kt) for the 2028-2057 year horizon where

the catch limit (CL) exceeded 40kt for the 2028-2057 for the 21 management procedures (MPs) under the

stress test operating models (see Table A6). Dots show medians. The label on panels indicates: the

assigned number for the MP, capped (C) or uncapped MPs, and the starting year for the HCR (see Tables

S4-5).

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Fig. S20. Average proportion of years where the catch limit (CL) change less than 15% between years for the 40 year of projection for the 21

management procedures (MPs) under core (upper panel) and stress operating models (see Table A6). Dots show medians and bars shown the 90%

intervals. The label on the panels indicates: the assigned number for the MP, capped (C) or uncapped MPs, and the starting year for the HCR (see

Tables S4-5).

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