management of datapoor stocks in mixed fisheries the good...
TRANSCRIPT
Helena Geromont
Management of datapoor stocks in mixed fisheries The good, the adequate and the arbitrary
Marine Resource Assessment and Management Group (MARAM), Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa
Introduction
Mixed fishery and bycatch management
Defining realistic metrics
Data-poor methods
MSE: evaluating trade-offs
Some conclusions
Stocks with quantitative assessments: 10% High-value Data-rich
Expertise-rich
Unassessed stocks: 90% Low-value, often inshore, often mixed fisheries
Limited funding, limited monitoring =>Data-poor
Often limited numerical expertise and limited infrastructure
Need for simple quantitative management
Current state of world fisheries
Data-rich assessment methods are not applicable to data-poor fisheries: Lack of funds for extensive data collection/data analyses Insufficient data to estimate model parameters reliably Lack of expertise to apply complex statistical methods annually Complex assessments not always that realiable anyway Require simple approaches: Generic rather than stock-specific (no annual species-specific assessments) Broad-brush rather than optimal (overall multi-stock rebuilding goals) Easily understood by fishery stakeholders (need buy-in to work) Rely on few data (start simple and move towards data-moderate methods) Robust to high levels of uncertainty (precautionary but economically viable)
Keep it simple stupid!
Problems with management system:
Pre-2010: Days-At-Sea (DAS)
Post-2010: Hard Annual Catch Limits (ACL)
Many groundfish stocks remain overfished
Age-based models give biased estimates of abundance (retrospective patterns)
Catches well below optimum yield (OY)
Single species interpretation of multispecies yield
Rothschild (2013):
Define clear and realistic management goals
Adopt simpler stock assessment approaches
Use simpler metrics to measure performance
US: New England groundfish mixed-fishery
Rothschild, BJ, Keiley, EF, and Jiao, Y. 2013. Failure to eliminate overfishing and attain optimum yield in the New England groundfish fishery. ICES Journal of Marine Science. DOI:10.1093/icesjms/fst118
Reducing risk (overall, or a specific species?) Annual catch limits( ACLs) are set much lower than OFLs for each species Choice of precautionary buffer somewhat arbitrary (75% FMSY)
Single-species assessments questionable => unreliable F estimates Continued overfishing for some species despite buffers: biological goals not met
Achieving OY (overall, or a specific species?)
Total landings of all stocks substantially less sum of ACLs
Once species-specific ACLs are reached, the fishery starts choking Loss of revenue: economic goals of fishery not met
“Weakest link” management Multi-species fishery management goals not met
Example: New England groundfishRisk/yield tradeoffs
Cy << ACLy
s
s∑ << OFLy
s
s∑
ACL: Annual Catch Limit < OFL: Overfishing Limit
Directed catch: anchovy, adult sardine
Bycatch: juvenile sardine, horse mackerel
Aim: Limit juvenile sardine and horse mackerel bycatch in small pelagics fishery
=>impacts adult sardine and horse mackerel directed catches
Trade-off: cannot optimise directed sardine and anchovy simultaneously
Joint Management Procedure (JMP):
1) Total Annual Catch for anchovy (TACA)and adult sardine (TACS), and
2) Total Annual Bycatch (TABS) for juvenile sardine
Simple empirical MP based on bi-annual hydroacoustic surveys (data-rich)
Nov: initial TACS/TACA/TABS -> May mid-year update: revise TACA/TABS
Example: SA small pelagics fishery
De Moor CL and DS Butterworth. Incorporating technological interactions in a joint MP for SA sardine and anchovy. In Management Science in Fisheries. An introduction to simulation-based methods. Ed: Edwards, TT and Dankel, DJ. 2016. Routledge. 460pp
Aim: Limit juvenile horse mackerel bycatch in small pelagics fishery
=>impacts adult horse mackerel fishery: threefold Y/R gain
1) Precautionary Upper Catch Limit (PUCL)
Fixed PUCL: Choking of anchovy fishery:
=>avoid areas with high horse mackerel bycatch
=>loss of anchovy catch
2) Flexible PUCL3: three-year allocation
allocationy=PUCL3-bycatchy-1-bycatchy-2
Add restriction to limit annual take:
bycatchy<0.5PUCL3
Need restrictions, with flexibility to deal with high R fluctuations
Example: SA small pelagics: horse mackerel bycatch
Furman, L. B. 2014 Using Management Strategy Evaluation to address problems arising as a result of competing users of the South African horse mackerel resource. MSc Thesis 132 pp.
Inshore/Offshore trawl management:
Hake directed TAC and effort limitation (DAS) to curb bycatch targeting
PUCLs for kingklip and monkfish bycatch
In addition: Limit juvenile kingklip bycatch
Implement time/area restrictions:
Moratorium on trawling in some months in some areas to reduce catch
of species that are known to aggregate in those areas
“kingklip box”: seasonal area closure
Avoid large spawning aggregations of kingklip
Simple solution that works => compliance by industry
Example: SA demersal fishery
PUCL: Precautionary Upper Catch Limit
ePUCLs (experimental Preliminary Catch Limits):
Voluntary limits for minor bycatch species (eg kob, carpenter, panga)
Pilot project: Industry body manages ePUCLs to avoid dumping
Catch limits based on annual stock assessments (ASPM) for key bycatch species
Data: 1995-2011 survey index (government run observer program)
standardised CPUE (likely biased)
catch time series (total landings not well known)
Not so much data-poor but management-poor (lack of government funding/
monitoring/compliance)
Voluntary ePUCLs: Hake trawl industry taking initiative with pressure from MSC: manage bycatch or lose hake certification!
Example: SA inshore trawl fishery
Greenston, JD and Attwood CG. 2013. Assessing the feasibility of a bycatch co-management programme in South Africa’s inshore trawl fishery. Report for he Responsible Fisheries Alliance.
Different productivity levels
Low M stocks more vulnerable to overfishing,
Need more precaution/constraints for vulnerable stocks
Large fluctuations in stock size for shorter-lived species
Different depletion levels
Need rebuilding strategies for depleted stocks
but not waste potential yield from healthy stocks
Different economic value
Catch directed according to market value and availability
Different objectives, different performance indicators
Challenges specific to mixed fisheries
Balance management trade-offs: Maximise future catch (OY) of priority stocks
Reduce risk of overfishing/ undue depletion Avoid underfishing Maintain economic stability: avoid choking
Need a balanced management approach: Select realistic objectives: set attainable targets and limits for each stock Choose simple metrics to measure performance Prioritise stocks/species Balance overall trade-offs and performance of stock group. Need management approach that addresses bioeconomic concerns
Need to formalise an approach to do all that
Aim
OY: Optimum Yield
Metrics to measure performance Example: MSC certification criteria and performance indicators
Certification scores are based on:
Sustainability of stock
Environmental impact of fishery
Effective management of fishery Focus MSE on Principle 1 performance indicators. Principle 3 implicit when adopting an MP approach.
MSC performance indicators
Principle1
Principle 3
Principle 2
SG60: stock biomass “likely” above point where recruitment becomes impaired (PRI ) 30%-ile of probability interval above PRI
SG80: stock biomass ”highly likely” above PRI and fluctuating about MSY level 20%-ile of probability interval above PRI median of probability interval above BMSY
SG100: “certain” that stock above PRI and fluctuating about or above MSY level 5%-ile of probability interval above PRI median of probability interval above BMSY
Limit Reference Point (LRP): PRI=0.5BMSY
Target Reference Point (LRP): BMSY
Apply scoring system to multi-species fishery: SG60 for incidental bycatch, SG80 for
important bycatch species and SG100 for high-value target species
MSC stock status scores
SG60: Rebuilding time twice the generation time, but not longer than 20 years. Monitor to check that rebuilding strategies are effective
SG80: Some evidence (high likelihood) of recovery within generation time
SG100: Short rebuilding time period of between 5 years and one generation time for stock Strong evidence (high likelihood) of recovery within time
Generation time: tgen= t0-1/k ln(1-Lopt/Linf)
Shortcut method: tgen = amat+1/M Select MP and buffer to achieve biomass recovery in a pre-specified time
MSC rebuilding time frames (PI 1.1.2)
Where are we now? Don’t know Data poor, no assessment, or biased
Where do we go? Move stock towards target (BMSY)
Maintain stock above limit
How do we get there?
An MP that requires few but (reliable) data to give directional advice. Dynamic system, fluctuations in stock size unavoidable
Three questions, not so many answers…
Time period
BMSY
BLIM
Account for high levels of uncertainty
Keep control rules simple
Lower expectations
Balance trade-offs between species
Management Strategy Evaluation
Poor Biased Unrealistic data assessments expectations
Step 5: Simulations
MSE: Evaluate performance
Step 3: OPERATING
MODELS
Suite of age/length-structured population
models
Step 4: MPs
Simple harvest control rules that incorporate
stock-specific triggers, target, limits and
buffers
Step 1: Define key objectives
for mixed-fishery
Step 2: Decide on appropriate performance
metrics
TAC/TAE/TAB
DATA
Step 6: Summary statistics: examine
mixed fishery trade-offs
Step 7: Mixed fishery
stakeholders to select best
compromise
Input and output controls: TAC/TAE
Empirical HCR: Life-History parameters Length-based Catch-based Abundance index based
Output: MSY,B, F
Assessment model: estimate model parameters from data
Input: data
HCRs (based on assessment output): B/K-based
F/FMSY-based
Datapoor methods: Model-based vs Empirical
Typical data-poor assessment methods DATA OUTPUT ASSESSMENT HCR
HCRs (based on output from assessment): LB-SPR Target DACS, DCAC B/BMSY, F/FMSY HCRs
Length composition
Life-history parameters
Qualitative Semi-
quantitative
Index of abundance
PSA, SAFE, Caddy’s traffic light
Beverton-Holt, Per-recruit
LB-SPR
AIM, Production models (Schaefer, Fox, Pella)
Reference points
Stock ranking, risk analysis
SPR
Catch
Output: TAC/TAE
Catch-MSY, COM, SSCOM, DB-SRA, CC-SRA
RY/MSY, B/K
RY/MSY, B/K
Data-moderate
Data-poor
Typical empirical methods
Minimum length L-Threshold L-Target, E-target LF=M
DACS, DCAC (no, not really) I-Ratio I-Slope I-Target
Life-history data
L-H+Length
L-H+Catch
Catch+Index Output:
TAC/TAE or Minimum length
DATA OUTPUT HCR
minlen Etarget
Example methods: input controls
Lmin = xLopt 0.7 ≤ x ≤1
Life-history parameters (M, k, b)
Ey+1 = Ey w+ (1− w)
Lyrecent
Lopt
⎛
⎝⎜
⎞
⎠⎟
⎡
⎣⎢⎢
⎤
⎦⎥⎥
Advantages: Simple input control rules can be applied when historic time-series data are lacking. Life-history parameters are widely available. Cost effective management
Lopt is the length at which the biomass of cohort is maximised
Lopt = b / (M /κ + b)
Disdvantages: No historical trend information to track changes in biomass. Does not take dynamic effects into account
0 ≤ w ≤1Length data
Example methods: catch based
DACS DCAC
Catch time series (Cy)
TACy+1 = DCAC =Cy∑
n + Δ / (MSYL × c ×M )
TACy+1 = s (1 / n Cy∑ ) = 2B /K (1 / n Cy∑ )
Catch time-series shown as a percentage of the maximum catch to illustrate the transition phases of a typical fishery (Froese and Kesner-Reyes, 2002).
Advantages: Catch time-series data are available for many fisheries. Disadvantages: Catches are affected by effort regulations, catchability, etc. An estimate of current depletion is not available for most data-poor fisheries.
Example methods: length based Lstep Ltarget
TACy+1 = TACy ± step if Lyrecent > Lupper threshold
< Llower threshold
Mean length index (Ly)
TACy+1 = TAC target w+ (1− w)
Lyrecent − L0
Ltarget − L0
⎛
⎝⎜
⎞
⎠⎟
⎡
⎣⎢⎢
⎤
⎦⎥⎥
Advantages: data easy and cheap to collect. Intuitive HCRs=> Stakeholder participation. Disadvantages: Mean length is an indirect index - not directly proportional to abundance! Delay in feed-back (worse for longer-lived stocks with lower M). Recruitment pulses affect catch profile
Equilibrium mean length in catch as a function of spawning biomass for age-independent natural mortality rates, M, of 0.2, 0.3 and 0.4 yr-1.
Example methods: Index based 8) Islope 9) Itarget 10) Iratio
TACy+1 = TAC target w+ (1− w)
I yrecent − I 0
I target − I 0
⎛
⎝⎜
⎞
⎠⎟
⎡
⎣⎢⎢
⎤
⎦⎥⎥
TACy+1 = TACy(1+ λ slope(Iy ))
CPUE or survey index (Iy)
Iy=qBy
Advantages: Direct index of abundance. Track trends in B. Disadvantages: Scientific surveys can be costly. CPUE data much easier/cheaper to collect, but undetected bias (changes in q) could be problematic.
Surv
ey/C
PUE
1 3
1 12 5
1/ 2 / 1/ 3y y
y y y yy y
TAC TAC I I− −
+ −− −
⎛ ⎞ ⎛ ⎞= ⎜ ⎟ ⎜ ⎟
⎝ ⎠ ⎝ ⎠∑ ∑
Management Strategy Evaluation (MSE): Simulation test 7 datapoor MPs using MSC performance metrics
Group stock-types with similar characteristics in depletion/
productivity baskets. Bayes-like approach to encompass uncertainty
Simulation test MPs for each stock group/basket
Construct Operating Model (OM) baskets
Selection of MPs and precautionary buffers to simulation tested
Data MPs Buffers
minlen0,…,minlen5 0%, 10%, 20%, 30%, 40%, 50%
Lstep0,…,Lstep5 0%, 10%, 20%, 30%, 40%, 50%
Etarget0,…,Etarget5 0%, 10%, 20%, 30%, 40%, 50%
Ltarget0,…,Ltarget5 0%, 10%, 20%, 30%, 40%, 50%
DACS0,…,DACS5 0%, 10%, 20%, 30%, 40%, 50%
Islope0,…,Islope5 0%, 10%, 20%, 30%, 40%, 50%
Itarget0,…Itarget5 0%, 10%, 20%, 30%, 40%, 50%
Catch time series (Cy)
Mean length index (Ly)
CPUE or survey index (Iy)
Life-history pars (L-H)
Automate MSE with DLM Toolkit package developed by Tom Carruthers (2015)
Toolkit V3.2.1 now available on Cran repository
Software:
Carruthers, T. R., Kell, L. T., Butterworth, D. D. S., Maunder, M. N. Geromont, H. F., Walters, C., McAllister, M. K., Hillary, R. Levontin, P., Kitakado, T., and Davies, C. R. Performance review of simple management procedures. – ICES Journal of Marine Science, doi: 10.1093/icesjms/fsv212.
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islop
e0HG_
Islope1
HG_Islop
e2HG_
Islope3
HG_Islop
e4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0
1
2
3
4
5 year B
/BMSY
(a)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islop
e0HG_
Islope1
HG_Islop
e2HG_
Islope3
HG_Islop
e4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0
1
2
3
4
final B/B
MSY
(b)HG_
DACS0
HG_DAC
S1HG_
DACS2
HG_DAC
S3HG_
DACS4
HG_DAC
S5HG_
Etarget0
HG_Etar
get1HG_
Etarget2
HG_Etar
get3HG_
Etarget4
HG_Etar
get5HG_
minlenL
opt0HG_
minlenL
opt1HG_
minlenL
opt2HG_
minlenL
opt3HG_
minlenL
opt4HG_
minlenL
opt5HG_
Lstep0
HG_Lste
p1HG_
Lstep2
HG_Lste
p3HG_
Lstep4
HG_Lste
p5HG_
Ltarget0
HG_Ltar
get1HG_
Ltarget2
HG_Ltar
get3HG_
Ltarget4
HG_Ltar
get5HG_
Islope0
HG_Islop
e1HG_
Islope2
HG_Islop
e3HG_
Islope4
HG_Islop
e5HG_
Itarget0
HG_Itarg
et1HG_
Itarget2
HG_Itarg
et3HG_
Itarget4
HG_Itarg
et5
0
50
100
150
average
TAC
(c)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islop
e0HG_
Islope1
HG_Islop
e2HG_
Islope3
HG_Islop
e4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0.00
0.05
0.10
0.15
0.20
AAV
(d)
MP summary statistics
OM1a (moderately depleted/productivity): 10-year projections Boxplots: whiskers:5%-iles (SG100), boxes:20%-iles (SG80), bars: medians
MSY
1.0 1.5 2.0
2030
4050
6070
lower 20%−ile B/BMSY
median
average
Yield
HG_DACS0
HG_DACS1
HG_DACS2
HG_DACS3
HG_DACS4
HG_DACS5
HG_Etarget0
HG_Etarget1
HG_Etarget2
HG_Etarget3
HG_Etarget4
HG_Etarget5
HG_minlenLopt0HG_minlenLopt1
HG_minlenLopt2
HG_minlenLopt3
HG_minlenLopt4
HG_minlenLopt5
HG_Lstep0
HG_Lstep1
HG_Lstep2
HG_Lstep3
HG_Lstep4
HG_Lstep5
HG_Ltarget0
HG_Ltarget1
HG_Ltarget2
HG_Ltarget3
HG_Ltarget4
HG_Ltarget5
HG_Islope0
HG_Islope1
HG_Islope2
HG_Islope3
HG_Islope4
HG_Islope5
HG_Itarget0
HG_Itarget1
HG_Itarget2
HG_Itarget3
HG_Itarget4
HG_Itarget5
Risk/Yield plot:
OM1a: moderately depleted/medium productivity Risk/Yield tradeoffs after 10 years
0.0 0.5 1.0 1.5 2.0
2040
6080
lower 20%−ile B/BMSY
median
averag
e Yield
HG_DACS0
HG_DACS1
HG_DACS2
HG_DACS3
HG_DACS4
HG_DACS5
HG_Etarget0HG_Etarget1
HG_Etarget2
HG_Etarget3
HG_Etarget4
HG_Etarget5
HG_minlenLopt0
HG_minlenLopt1HG_minlenLopt2
HG_minlenLopt3
HG_minlenLopt4
HG_minlenLopt5
HG_Lstep0
HG_Lstep1
HG_Lstep2
HG_Lstep3
HG_Lstep4
HG_Lstep5
HG_Ltarget0
HG_Ltarget1
HG_Ltarget2
HG_Ltarget3
HG_Ltarget4
HG_Ltarget5
HG_Islope0HG_Islope1
HG_Islope2
HG_Islope3
HG_Islope4
HG_Islope5
HG_Itarget0
HG_Itarget1
HG_Itarget2
HG_Itarget3
HG_Itarget4
HG_Itarget5
Risk/Yield plot:
OM1a: moderately depleted/medium productivity Risk/Yield tradeoffs after 20 years
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islop
e0HG_
Islope1
HG_Islop
e2HG_
Islope3
HG_Islop
e4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
5 year B
/BMSY
(a)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islop
e0HG_
Islope1
HG_Islop
e2HG_
Islope3
HG_Islop
e4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0
1
2
3
4
final B/B
MSY
(b)HG_
DACS0
HG_DAC
S1HG_
DACS2
HG_DAC
S3HG_
DACS4
HG_DAC
S5HG_
Etarget0
HG_Etar
get1HG_
Etarget2
HG_Etar
get3HG_
Etarget4
HG_Etar
get5HG_
minlenL
opt0HG_
minlenL
opt1HG_
minlenL
opt2HG_
minlenL
opt3HG_
minlenL
opt4HG_
minlenL
opt5HG_
Lstep0
HG_Lste
p1HG_
Lstep2
HG_Lste
p3HG_
Lstep4
HG_Lste
p5HG_
Ltarget0
HG_Ltar
get1HG_
Ltarget2
HG_Ltar
get3HG_
Ltarget4
HG_Ltar
get5HG_
Islope0
HG_Islop
e1HG_
Islope2
HG_Islop
e3HG_
Islope4
HG_Islop
e5HG_
Itarget0
HG_Itarg
et1HG_
Itarget2
HG_Itarg
et3HG_
Itarget4
HG_Itarg
et5
0
50
100
150
average
TAC
(c)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islop
e0HG_
Islope1
HG_Islop
e2HG_
Islope3
HG_Islop
e4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0.0
0.1
0.2
0.3
0.4
0.5
AAV
(d)
MP summary statistics
OM1b (severely depleted/medium productivity): 10-year projections Boxplots: whiskers:5%-iles (SG100), boxes:20%-iles (SG80), bars: medians
MSY
0.0 0.5 1.0 1.5
1020
3040
5060
70
lower 20%−ile B/BMSY
median
average
Yield
HG_DACS0
HG_DACS1
HG_DACS2
HG_DACS3
HG_DACS4
HG_DACS5
HG_Etarget0HG_Etarget1
HG_Etarget2HG_Etarget3
HG_Etarget4
HG_Etarget5
HG_minlenLopt0
HG_minlenLopt1
HG_minlenLopt2HG_minlenLopt3
HG_minlenLopt4
HG_minlenLopt5HG_Lstep0
HG_Lstep1
HG_Lstep2
HG_Lstep3
HG_Lstep4
HG_Lstep5
HG_Ltarget0
HG_Ltarget1
HG_Ltarget2
HG_Ltarget3
HG_Ltarget4
HG_Ltarget5
HG_Islope0HG_Islope1HG_Islope2
HG_Islope3HG_Islope4
HG_Islope5
HG_Itarget0
HG_Itarget1
HG_Itarget2
HG_Itarget3
HG_Itarget4
HG_Itarget5
Risk/Yield plot:
Mor
e yi
eld
OM1b: severely depleted/medium productivity Risk/Yield tradeoffs after 20 years
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islo
pe0HG_
Islope1
HG_Islo
pe2HG_
Islope3
HG_Islo
pe4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
5 year B
/BMSY
(a)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islo
pe0HG_
Islope1
HG_Islo
pe2HG_
Islope3
HG_Islo
pe4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0
1
2
3
final B/B
MSY
(b)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islo
pe0HG_
Islope1
HG_Islo
pe2HG_
Islope3
HG_Islo
pe4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0
200
400
600
800
1000
1200
average
TAC
(c)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islo
pe0HG_
Islope1
HG_Islo
pe2HG_
Islope3
HG_Islo
pe4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0.0
0.1
0.2
0.3
0.4
0.5
AAV
(d)
MP summary statistics
OM2a (moderately depleted/low productivity): 20-year projections Boxplots: whiskers:5%-iles (SG100), boxes:20%-iles (SG80), bars: medians
MSY
0.5 1.0 1.5
100200
300400
500600
lower 20%−ile B/BMSY
median
averag
e Yield
HG_DACS0
HG_DACS1
HG_DACS2
HG_DACS3
HG_DACS4
HG_DACS5
HG_Etarget0
HG_Etarget1
HG_Etarget2
HG_Etarget3
HG_Etarget4
HG_Etarget5
HG_minlenLopt0HG_minlenLopt1
HG_minlenLopt2
HG_minlenLopt3
HG_minlenLopt4
HG_minlenLopt5
HG_Lstep0
HG_Lstep1
HG_Lstep2
HG_Lstep3
HG_Lstep4
HG_Lstep5
HG_Ltarget0
HG_Ltarget1
HG_Ltarget2
HG_Ltarget3
HG_Ltarget4
HG_Ltarget5
HG_Islope0
HG_Islope1
HG_Islope2
HG_Islope3
HG_Islope4
HG_Islope5
HG_Itarget0
HG_Itarget1
HG_Itarget2
HG_Itarget3
HG_Itarget4
HG_Itarget5
Risk/Yield plot:
OM2a: moderately depleted/low productivity Risk/Yield tradeoffs after 20 years
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islo
pe0HG_
Islope1
HG_Islo
pe2HG_
Islope3
HG_Islo
pe4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0.0
0.5
1.0
1.5
2.0
2.5
5 year B
/BMSY
(a)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islo
pe0HG_
Islope1
HG_Islo
pe2HG_
Islope3
HG_Islo
pe4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
final B/B
MSY
(b)HG_
DACS0
HG_DAC
S1HG_
DACS2
HG_DAC
S3HG_
DACS4
HG_DAC
S5HG_
Etarget0
HG_Etar
get1HG_
Etarget2
HG_Etar
get3HG_
Etarget4
HG_Etar
get5HG_
minlenL
opt0HG_
minlenL
opt1HG_
minlenL
opt2HG_
minlenL
opt3HG_
minlenL
opt4HG_
minlenL
opt5HG_
Lstep0
HG_Lste
p1HG_
Lstep2
HG_Lste
p3HG_
Lstep4
HG_Lste
p5HG_
Ltarget0
HG_Ltar
get1HG_
Ltarget2
HG_Ltar
get3HG_
Ltarget4
HG_Ltar
get5HG_
Islope0
HG_Islo
pe1HG_
Islope2
HG_Islo
pe3HG_
Islope4
HG_Islo
pe5HG_
Itarget0
HG_Itarg
et1HG_
Itarget2
HG_Itarg
et3HG_
Itarget4
HG_Itarg
et5
0
200
400
600
800
1000
average
TAC
(c)
HG_DAC
S0HG_
DACS1
HG_DAC
S2HG_
DACS3
HG_DAC
S4HG_
DACS5
HG_Etar
get0HG_
Etarget1
HG_Etar
get2HG_
Etarget3
HG_Etar
get4HG_
Etarget5
HG_min
lenLopt0
HG_min
lenLopt1
HG_min
lenLopt2
HG_min
lenLopt3
HG_min
lenLopt4
HG_min
lenLopt5
HG_Lste
p0HG_
Lstep1
HG_Lste
p2HG_
Lstep3
HG_Lste
p4HG_
Lstep5
HG_Ltar
get0HG_
Ltarget1
HG_Ltar
get2HG_
Ltarget3
HG_Ltar
get4HG_
Ltarget5
HG_Islo
pe0HG_
Islope1
HG_Islo
pe2HG_
Islope3
HG_Islo
pe4HG_
Islope5
HG_Itarg
et0HG_
Itarget1
HG_Itarg
et2HG_
Itarget3
HG_Itarg
et4HG_
Itarget5
0.0
0.1
0.2
0.3
0.4
0.5
AAV
(d)
MP summary statistics
OM2b (severely depleted/low productivity): 20-year projections Boxplots: whiskers:5%-iles (SG100), boxes:20%-iles (SG80), bars: medians
MSY
0.0 0.2 0.4 0.6 0.8 1.0
1020
3040
5060
lower 20%−ile B/BMSY
median
averag
e Yield
HG_DACS0
HG_DACS1
HG_DACS2
HG_DACS3
HG_DACS4
HG_DACS5
HG_Etarget0HG_Etarget1
HG_Etarget2
HG_Etarget3
HG_Etarget4
HG_Etarget5
HG_minlenLopt0HG_minlenLopt1
HG_minlenLopt2
HG_minlenLopt3
HG_minlenLopt4
HG_minlenLopt5
HG_Lstep0
HG_Lstep1
HG_Lstep2
HG_Lstep3
HG_Lstep4
HG_Lstep5
HG_Ltarget0
HG_Ltarget1
HG_Ltarget2
HG_Ltarget3
HG_Ltarget4
HG_Ltarget5
HG_Islope0HG_Islope1
HG_Islope2
HG_Islope3
HG_Islope4
HG_Islope5
HG_Itarget0HG_Itarget1
HG_Itarget2
HG_Itarget3
HG_Itarget4
HG_Itarget5
Risk/Yield plot:
Mor
e yi
eld
OM2b: severely depleted/low productivity Risk/Yield tradeoffs after 20 years
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_DACS1
17.7% POF
66.6% FMSY yield
F/FMSY
2 4 6 8
0.00.5
1.01.5
2.0
Index
MSEobj@
B_BMSY
[1, mm, ]
39.4% < BMSY
3% < 0.5BMSY
0% < 0.1BMSY
B/BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Etarget1
39% POF
77.1% FMSY yield
2 4 6 8
0.00.5
1.01.5
2.0
Index
MSEobj@
B_BMSY
[1, mm, ]
54.1% < BMSY
3.2% < 0.5BMSY
0% < 0.1BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_minlenLopt1
55.4% POF
88.4% FMSY yield
2 4 6 8
0.00.5
1.01.5
2.0
Index
MSEobj@
B_BMSY
[1, mm, ]
52.1% < BMSY
2.3% < 0.5BMSY
0% < 0.1BMSY
2 4 6 8
0.51.0
1.5Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Lstep1
33.3% POF
64.5% FMSY yield
2 4 6 8
0.00.5
1.01.5
2.0
Index
MSEobj@
B_BMSY
[1, mm, ]
51.7% < BMSY
9.3% < 0.5BMSY
1.3% < 0.1BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Ltarget1
33.4% POF
60.6% FMSY yield
2 4 6 8
0.00.5
1.01.5
2.0
Index
MSEobj@
B_BMSY
[1, mm, ]
51.3% < BMSY
9.6% < 0.5BMSY
2% < 0.1BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Islope1
49.9% POF
86.3% FMSY yield
2 4 6 8
0.00.5
1.01.5
2.0Index
MSEobj@
B_BMSY
[1, mm, ]
56.6% < BMSY
14.6% < 0.5BMSY
1% < 0.1BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Itarget1
38.3% POF
86.7% FMSY yield
2 4 6 8
0.00.5
1.01.5
2.0
Index
MSEobj@
B_BMSY
[1, mm, ]
49% < BMSY
5.8% < 0.5BMSY
0% < 0.1BMSY
Projection year
MSE
OM1a: Reference case basket 10yr projection plots with MPs using 10% buffers
OM1a: Kobe plots for10-year projections with 10% buffer MPs
0.0 0.5 1.0 1.5 2.0
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
Start
End
14% 0%
4% 82%
HG_DACS1
0.0 0.5 1.0 1.5 2.0
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
29% 6%
17% 48%
HG_Etarget1
0.0 0.5 1.0 1.5 2.0
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
39% 15%
8% 38%
HG_minlenLopt1
0.0 0.5 1.0 1.5 2.0
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
23% 0%
17% 60%
HG_Lstep1
0.0 0.5 1.0 1.5 2.0
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
14% 0%
21% 65%
HG_Ltarget1
0.0 0.5 1.0 1.5 2.0
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
46% 3%
5% 46%
HG_Islope1
0.0 0.5 1.0 1.5 2.0
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
34% 11%
12% 43%
HG_Itarget1
B/BMSY
F/FMS
Y
MSE
OM1a: 10yr projection boxplots with MPs using 10% buffersBoxplots: whiskers:5%-iles (SG100), boxes:20%-iles (SG80), bars: medians
HG_DAC
S1
HG_Etar
get1
HG_min
lenLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islo
pe1
HG_Itarg
et1
0.0
0.5
1.0
1.5
2.0
2.5
3.0
5 year B
/BMSY
(a)
HG_DAC
S1
HG_Etar
get1
HG_min
lenLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islo
pe1
HG_Itarg
et1
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
final B/B
MSY
(b)
HG_DAC
S1
HG_Etar
get1
HG_min
lenLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islo
pe1
HG_Itarg
et1
0
50
100
150
average
TAC
(c)
HG_DAC
S1
HG_Etar
get1
HG_min
lenLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islo
pe1
HG_Itarg
et1
0.0
0.1
0.2
0.3
0.4
0.5
AAV
(d)
MP summary statistics
MSY
Robustness tests: misclassification of stock in generic basket
Not risk prone
2 4 6 8
0.51.0
1.52.0
2.53.0
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_DACS1
83.9% POF
85.2% FMSY yield
F/FMSY
2 4 6 8
0.00.2
0.40.6
0.81.0
Index
MSEobj@
B_BMSY
[1, mm, ]
94% < BMSY
65.4% < 0.5BMSY
12.2% < 0.1BMSY
B/BMSY
2 4 6 8
0.51.0
1.52.0
2.53.0
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Etarget1
86.3% POF
91.2% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.81.0
Index
MSEobj@
B_BMSY
[1, mm, ]
98.2% < BMSY
67.4% < 0.5BMSY
0.1% < 0.1BMSY
2 4 6 8
0.51.0
1.52.0
2.53.0
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_minlenLopt1
91.6% POF
107.7% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.81.0
Index
MSEobj@
B_BMSY
[1, mm, ]
96.9% < BMSY
60.1% < 0.5BMSY
0.1% < 0.1BMSY
2 4 6 8
0.51.0
1.52.0
2.53.0
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Lstep1
63.2% POF
68.2% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.81.0
Index
MSEobj@
B_BMSY
[1, mm, ]
94.9% < BMSY
65.4% < 0.5BMSY
6.5% < 0.1BMSY
2 4 6 8
0.51.0
1.52.0
2.53.0
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Ltarget1
67.5% POF
65.4% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.81.0
Index
MSEobj@
B_BMSY
[1, mm, ]
94.8% < BMSY
66.7% < 0.5BMSY
8.6% < 0.1BMSY
2 4 6 8
0.51.0
1.52.0
2.53.0
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Islope1
77% POF
81% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.81.0
Index
MSEobj@
B_BMSY
[1, mm, ]
96.2% < BMSY
70.1% < 0.5BMSY
10.9% < 0.1BMSY
2 4 6 8
0.51.0
1.52.0
2.53.0
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Itarget1
66.2% POF
94.3% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.81.0
Index
MSEobj@
B_BMSY
[1, mm, ]
95.7% < BMSY
58% < 0.5BMSY
1.5% < 0.1BMSY
Projection year
MSE
OM1b: True B/K lower than expected 10yr projection plots with MPs using 10% buffers
OM1b: Kobe plots for10-year projections with 10% buffer MPs
0.0 0.2 0.4 0.6 0.8 1.0
0.51.0
1.52.0
2.53.0
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
Start
End
74% 0%
12% 14%
HG_DACS1
0.0 0.2 0.4 0.6 0.8 1.0
0.51.0
1.52.0
2.53.0
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
83% 0%
14% 3%
HG_Etarget1
0.0 0.2 0.4 0.6 0.8 1.0
0.51.0
1.52.0
2.53.0
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
91% 2%
3% 4%
HG_minlenLopt1
0.0 0.2 0.4 0.6 0.8 1.0
0.51.0
1.52.0
2.53.0
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
42% 0%
44% 14%
HG_Lstep1
0.0 0.2 0.4 0.6 0.8 1.0
0.51.0
1.52.0
2.53.0
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
46% 0%
39% 15%
HG_Ltarget1
0.0 0.2 0.4 0.6 0.8 1.0
0.51.0
1.52.0
2.53.0
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
71% 1%
21% 7%
HG_Islope1
0.0 0.2 0.4 0.6 0.8 1.0
0.51.0
1.52.0
2.53.0
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
67% 2%
23% 8%
HG_Itarget1
B/BMSY
F/FMS
Y
MSE
HG_DAC
S1
HG_Etar
get1
HG_min
lenLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islo
pe1
HG_Itarg
et1
0.0
0.5
1.0
1.5
2.0
5 year B
/BMSY
(a)
HG_DAC
S1
HG_Etar
get1
HG_min
lenLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islo
pe1
HG_Itarg
et1
0.0
0.5
1.0
1.5
2.0
2.5
final B/B
MSY
(b)
HG_DAC
S1
HG_Etar
get1
HG_min
lenLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islo
pe1
HG_Itarg
et1
0
20
40
60
80
100
120
average
TAC
(c)
HG_DAC
S1
HG_Etar
get1
HG_min
lenLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islo
pe1
HG_Itarg
et1
0.0
0.1
0.2
0.3
0.4
0.5
AAV
(d)
MP summary statistics
OM1b: 10yr projection boxplots with MPs using 10% buffersBoxplots: whiskers:5%-iles (SG100), boxes:20%-iles (SG80), bars: medians
MSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_DACS1
61.1% POF
69.7% FMSY yield
F/FMSY
2 4 6 8
0.40.6
0.81.0
1.21.4
1.6
Index
MSEobj@
B_BMSY
[1, mm, ]
61.7% < BMSY
4.2% < 0.5BMSY
0% < 0.1BMSY
B/BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Etarget1
45.6% POF
61.3% FMSY yield
2 4 6 8
0.40.6
0.81.0
1.21.4
1.6
Index
MSEobj@
B_BMSY
[1, mm, ]
62.7% < BMSY
2.8% < 0.5BMSY
0% < 0.1BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_minlenLopt1
64.3% POF
74.3% FMSY yield
2 4 6 8
0.40.6
0.81.0
1.21.4
1.6
Index
MSEobj@
B_BMSY
[1, mm, ]
62.2% < BMSY
2.5% < 0.5BMSY
0% < 0.1BMSY
2 4 6 8
0.51.0
1.5Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Lstep1
36.9% POF
48.6% FMSY yield
2 4 6 8
0.40.6
0.81.0
1.21.4
1.6
Index
MSEobj@
B_BMSY
[1, mm, ]
61.2% < BMSY
4.4% < 0.5BMSY
0% < 0.1BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Ltarget1
37% POF
56.8% FMSY yield
2 4 6 8
0.40.6
0.81.0
1.21.4
1.6
Index
MSEobj@
B_BMSY
[1, mm, ]
59.9% < BMSY
2.4% < 0.5BMSY
0% < 0.1BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Islope1
56.8% POF
72.7% FMSY yield
2 4 6 8
0.40.6
0.81.0
1.21.4
1.6Index
MSEobj@
B_BMSY
[1, mm, ]
65.8% < BMSY
5.8% < 0.5BMSY
0.2% < 0.1BMSY
2 4 6 8
0.51.0
1.5
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Itarget1
37.9% POF
60% FMSY yield
2 4 6 8
0.40.6
0.81.0
1.21.4
1.6
Index
MSEobj@
B_BMSY
[1, mm, ]
59.4% < BMSY
2.7% < 0.5BMSY
0% < 0.1BMSY
Projection year
MSE
OM2a: True M lower than expected 10yr projection plots with MPs using 10% buffers
OM2a: True M lower than expected Kobe plots for10-year projections with 10% buffer MPs
0.4 0.8 1.2 1.6
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
Start
End
55% 9%
6% 30%
HG_DACS1
0.4 0.8 1.2 1.6
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
36% 3%
28% 33%
HG_Etarget1
0.4 0.8 1.2 1.6
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
44% 20%
15% 21%
HG_minlenLopt1
0.4 0.8 1.2 1.6
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
17% 0%
41% 42%
HG_Lstep1
0.4 0.8 1.2 1.6
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
26% 1%
30% 43%
HG_Ltarget1
0.4 0.8 1.2 1.6
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
48% 7%
21% 24%
HG_Islope1
0.4 0.8 1.2 1.6
0.51.0
1.5
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
29% 11%
26% 34%
HG_Itarget1
B/BMSY
F/FMS
Y
MSE
HG_DAC
S1
HG_Etar
get1
HG_minl
enLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islop
e1
HG_Itarg
et1
0.0
0.5
1.0
1.5
2.0
5 year B
/BMSY
(a)
HG_DAC
S1
HG_Etar
get1
HG_minl
enLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islop
e1
HG_Itarg
et1
0.5
1.0
1.5
2.0
2.5
final B/B
MSY
(b)HG_
DACS1
HG_Etar
get1
HG_minl
enLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islop
e1
HG_Itarg
et1
0
200
400
600
800
1000
average
TAC
(c)
HG_DAC
S1
HG_Etar
get1
HG_minl
enLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islop
e1
HG_Itarg
et1
0.0
0.1
0.2
0.3
0.4
0.5
AAV
(d)
MP summary statistics
OM2a: True M lower than expected 10yr projection boxplots with MPs using 10% buffersBoxplots: whiskers:5%-iles (SG100), boxes:20%-iles (SG80), bars: medians
MSY
2 4 6 8
12
34
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_DACS1
99.8% POF
115.6% FMSY yield
F/FMSY
2 4 6 8
0.00.2
0.40.6
0.8
Index
MSEobj@
B_BMSY
[1, mm, ]
99.2% < BMSY
86.4% < 0.5BMSY
17.2% < 0.1BMSY
B/BMSY
2 4 6 8
12
34
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Etarget1
88.1% POF
81.2% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.8
Index
MSEobj@
B_BMSY
[1, mm, ]
99% < BMSY
77.2% < 0.5BMSY
0.1% < 0.1BMSY
2 4 6 8
12
34
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_minlenLopt1
92.7% POF
100.8% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.8
Index
MSEobj@
B_BMSY
[1, mm, ]
99% < BMSY
72.8% < 0.5BMSY
0.1% < 0.1BMSY
2 4 6 8
12
34
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Lstep1
76.5% POF
68.1% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.8
Index
MSEobj@
B_BMSY
[1, mm, ]
99% < BMSY
74.2% < 0.5BMSY
3% < 0.1BMSY
2 4 6 8
12
34
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Ltarget1
84.1% POF
82.3% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.8
Index
MSEobj@
B_BMSY
[1, mm, ]
99% < BMSY
75.8% < 0.5BMSY
2.6% < 0.1BMSY
2 4 6 8
12
34
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Islope1
90.2% POF
96% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.8Index
MSEobj@
B_BMSY
[1, mm, ]
99% < BMSY
79.2% < 0.5BMSY
4.6% < 0.1BMSY
2 4 6 8
12
34
Index
MSEobj@
F_FMSY
[1, mm, ]
HG_Itarget1
74.9% POF
78.4% FMSY yield
2 4 6 8
0.00.2
0.40.6
0.8
Index
MSEobj@
B_BMSY
[1, mm, ]
99% < BMSY
72.8% < 0.5BMSY
0.9% < 0.1BMSY
Projection year
MSE
OM2b: True M and B/K lower than expected 10yr projection plots with MPs using 10% buffers
OM2b: True M and B/K lower than expected Kobe plots for10-year projections with 10% buffer MPs
0.0 0.2 0.4 0.6 0.8
12
34
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
Start
End
99% 1%
0% 0%
HG_DACS1
0.0 0.2 0.4 0.6 0.8
12
34
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
83% 0%
16% 1%
HG_Etarget1
0.0 0.2 0.4 0.6 0.8
12
34
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
95% 0%
4% 1%
HG_minlenLopt1
0.0 0.2 0.4 0.6 0.8
12
34
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
53% 0%
46% 1%
HG_Lstep1
0.0 0.2 0.4 0.6 0.8
12
34
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
75% 0%
24% 1%
HG_Ltarget1
0.0 0.2 0.4 0.6 0.8
12
34
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
86% 0%
13% 1%
HG_Islope1
0.0 0.2 0.4 0.6 0.8
12
34
c(MSEobj@B_BMSY[1, mm, 1], MSEobj@B_BMSY[1, mm, 2])
c(MSEo
bj@F_F
MSY[1
, mm, 1],
MSEob
j@F_FM
SY[1, m
m, 2])
67% 0%
32% 1%
HG_Itarget1
B/BMSY
F/FMS
Y
MSE
HG_DAC
S1
HG_Etar
get1
HG_minl
enLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islop
e1
HG_Itarg
et1
0.0
0.5
1.0
1.5
5 year B
/BMSY
(a)
HG_DAC
S1
HG_Etar
get1
HG_minl
enLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islop
e1
HG_Itarg
et1
0.0
0.5
1.0
1.5
final B/B
MSY
(b)HG_
DACS1
HG_Etar
get1
HG_minl
enLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islop
e1
HG_Itarg
et1
0
200
400
600
800
1000
average
TAC
(c)
HG_DAC
S1
HG_Etar
get1
HG_minl
enLopt1
HG_Lste
p1
HG_Ltar
get1
HG_Islop
e1
HG_Itarg
et1
0.0
0.1
0.2
0.3
0.4
0.5
AAV
(d)
MP summary statistics
OM2b: True M and B/K lower than expected 10yr projection boxplots with MPs using 10% buffersBoxplots: whiskers:5%-iles (SG100), boxes:20%-iles (SG80), bars: medians
MSY
MP buffers required to achieve 60/80/100 pass score Medium productivity stock (10y) Low productivity stock (20y)
OM1a SG60 SG80 SG100 Minlen 0% 10% 10% Etarget 0% 10% 20% DACS 0% 0% 0% Lstep 0% 20% 50% Ltarget 0% 10% 30% Islope 10% 20% 50% Itarget 0% 10% 20%
OM1b SG60 SG80 SG100 Minlen 20% 40% 50% Etarget 30% NA NA DACS 40% 50% NA Lstep 30% 50% NA Ltarget 10% 30% NA Islope 50% NA NA Itarget 20% 40% NA
OM2a SG60 SG80 SG100 Minlen 0% 10% 10% Etarget 0% 20% 20% DACS 0% 20% 40% Lstep 0% 0% 10% Ltarget 0% 20% 40% Islope 10% 30% 50% Itarget 0% 10% 20%
OM2b SG60 SG80 SG100 Minlen 30% 50% NA Etarget 50% NA NA DACS NA NA NA Lstep 30% NA NA Ltarget 50% NA NA Islope NA NA NA Itarget 40% NA NA
Sev
erel
y de
plet
ed
Mod
erat
ely
depl
eted
S
ever
ely
depl
eted
M
oder
atel
y de
plet
ed Bycatch 1 Bycatch 2 Target Bycatch 1 Bycatch 2 Target
Bycatch 1 Bycatch 2 Target Bycatch 1 Bycatch 2 Target
Prioritise species and organise into stock groups or stock baskets
Define appropriate performance indicators for target and major and minor
bycatch stocks: Different precautionary levels for categories to avoid choking
Develop and tune MPs for target stocks
Incorporate flexible multi-annual allocations for bycatch,
time/area closures where appropriate, and
exceptional circumstance clauses for low/bumper years
Keep buffers within reason- too much precaution is wasteful
Not possible to optimise yield consistently / not possible to avoid risk
completely
=> Decide on acceptable trade-offs with stakeholders
Simulation test (joint) MPs to achieve acceptable performance overall
Some conclusions
Thank you
Many thanks to Doug Butterworth, Carryn de Moor, Jessica Greenstone and Colin Attwood for providing a South African
perspective of bycatch mitigation.