Yellowfin Tuna

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Transcript Yellowfin Tuna

ASSESSMENT OF BIGEYE TUNA
(THUNNUS OBESUS) IN THE
EASTERN PACIFIC OCEAN
January 1975 – December 2006
Outline
• Stock assessment
–
–
–
–
–
Overview of assessment model
Fishery data
Assumptions
Results of base case model
Projections
• Sensitivity analyses
• Summary and conclusions
• Discussion
Overview of assessment
• Age-structured, statistical, catch-at-length
model (Stock Synthesis II).
• Same type of model as A-SCALA or
MULTIFAN-CL
• Differences between SS2 and A-SCALA
Bigeye fishery definitions
Recent FLT (2-5)
Discards (10-13)
Early FLT (1)
Early & Recent UNA (6, 7)
N Longline (8)
S Longline (9)
40
40
40
30
30
30
20
20
20
10
10
0
0
1, 6-7
10
5, 13
10
3, 11
0
10
20
20
20
30
30
30
40
40
150
140
130
120
110
100
90
80
70
9
4, 12
2, 10
10
8
40
150
140
130
120
110
FLT – Floating objects; UNA - Unassociated
100
90
80
70
150
140
130
120
110
100
90
80
70
Data - catch
Fishery -- Pesqueria 13
30000
Disc -N FLT
25000
20000
15000
10000
5000
0
Fishery -- Pesqueria 9
Fishery -- Pesqueria 10
S LL
30000
Fishery -- Pesqueria 11
Disc – coastal FLT
Disc – Eq FLT
Disc - S FLT
25000
Fishery -- Pesqueria 12
Tons -- Toneladas
20000
15000
10000
5000
0
Fishery -- Pesqueria 5
30000
Fishery -- Pesqueria 6
Fishery -- Pesqueria 7
Early UNA
Recent UNA
Fishery -- Pesqueria 1
Fishery -- Pesqueria 2
Fishery -- Pesqueria 3
Fishery -- Pesqueria 4
Early FLT
S Offshore FLT
Equatorial FLT
Coastal FLT
N Offshore FLT
25000
Fishery -- Pesqueria 8
N LL
20000
15000
10000
5000
0
30000
25000
20000
15000
10000
5000
0
75
80
85
90
95
00
05
75
80
85
90
95
00
05
75
80
Year -- Año
85
90
95
00
05
75
80
85
90
95
00
05
Data - discards
0.30
Discards/Retained fish -- Descartes/Peces retenidos
0.25
Fishery -- Pesqueria4/12
0.30
Inshore FLT
0.25
0.20
0.20
0.15
0.15
0.10
0.10
0.05
0.05
0.0
0.0
93 94 95 96 97 98 99 00 01 02 03 04 05 06
0.30
0.25
Fishery -- Pesqueria2/10
Northern FLT
93 94 95 96 97 98 99 00 01 02 03 04 05 06
0.30
0.25
Southern FLT
Fishery -- Pesqueria5/13
0.20
0.20
0.15
0.15
0.10
0.10
0.05
0.05
0.0
0.0
93 94 95 96 97 98 99 00 01 02 03 04 05 06
Year -- Año
Fishery -- Pesqueria3/11
Equatorial FLT
93 94 95 96 97 98 99 00 01 02 03 04 05 06
Data - effort
Fishery -- Pesqueria 13
1.5
Disc -N FLT
1.0
Thousands of days and hundreds of thousands of hooks
Miles de dias y cientos de miles de anzuelos
0.5
0.0
Fishery -- Pesqueria 9
Fishery -- Pesqueria 10
Fishery -- Pesqueria 11
700
S LL
600
Disc - S FLT
1.5
Fishery -- Pesqueria 12
2.0
2.5
Disc – coastal FLT
Disc – Eq FLT
2.0
1.5
500
1.5
1.0
1.0
400
1.0
300
0.5
0.5
0.5
200
0.0
0.0
Fishery -- Pesqueria 5
0.0
Fishery -- Pesqueria 6
Fishery -- Pesqueria 7
Fishery -- Pesqueria 8
140
6
1.5
N Offshore FLT
3
80
60
2
2
0.5
N LL
120
100
4
1.0
Recent UNA
4
Early UNA
40
1
20
0.0
0
0
Fishery -- Pesqueria 1
0
Fishery -- Pesqueria 2
Fishery -- Pesqueria 3
2.5
5
Early FLT
4
S Offshore FLT
1.5
3
Fishery -- Pesqueria 4
2.0
Equatorial FLT
Coastal FLT
2.0
1.5
1.5
1.0
1.0
1.0
2
0.5
0.5
0.5
1
0
0.0
75
80
85
90
95
00
05
0.0
75
80
85
90
95
00
05
0.0
75
Year -- Año
80
85
90
95
00
05
75
80
85
90
95
00
05
Data - CPUE
Fishery -- Pesqueria 13
8
Disc -N FLT
6
4
2
Scaled CPUE -- CPUE escalado
0
Fishery -- Pesqueria 9
1.8
1.6
1.4
1.2
1.0
0.8
0.6
0.4
Fishery -- Pesqueria 10
S LL
5
Fishery -- Pesqueria 11
Disc - S FLT
Fishery -- Pesqueria 12
4
Disc – Eq FLT
4
Disc – coastal FLT
3
4
3
3
1
1
1
0
0
0
Fishery -- Pesqueria 5
3.0
Fishery -- Pesqueria 6
N Offshore FLT
2.5
2
2
2
Early UNA
8
2.0
Fishery -- Pesqueria 7
Fishery -- Pesqueria 8
4
Recent UNA
5
4
6
3
1.5
4
0.0
2
1
1
0
0
0
Fishery -- Pesqueria 1
Early FLT
4
2
2
1.0
0.5
Fishery -- Pesqueria 2
Fishery -- Pesqueria 3
S Offshore FLT
Equatorial FLT
2.5
3
3
Fishery -- Pesqueria 4
1
2
1.5
1
1.0
4
3
2
1
0.5
0
0
75
80
85
90
95
00
05
Coastal FLT
5
2.0
2
N LL
3
0
75
80
85
90
95
00
05
75
Year -- Año
80
85
90
95
00
05
75
80
85
90
95
00
05
Data - Length frequency data
Quarter
1997
2000
2005
Assumptions (base case) - movement
DATA
• Tagging records indicate little exchange of
bigeye between E and W Pacific
• Results from conventional and archival
tagging indicate regional fidelity for bigeye
in EPO
• Different CPUE trends between EPO and WCP
ASSUMPTIONS
• Single stock of bigeye in EPO
• No net movement of fish between the eastern
and western Pacific
• SA for EPO and Pacific wide are consistent
Assumptions (base case) - growth
• Von Bertalanffy – fixed parameters
Assumptions (base case) – M
Assumptions (base case) - cont.
• Age-specific maturity and fecundity indices
• No S-R relationship (steepness = 1)
Results (base case)
•
•
•
•
•
Fit to the length frequency
Fishing mortality
Selectivity
Recruitment
Biomass
Fit to LF data – Pearson residuals
Fit to CPUE data – Floating object
Fishery 2
60000
50000
CPUE
40000
30000
20000
Fishery 5
10000
35000
30000
0
7
2
7
5
7
8
8
1
8
4
8
7
9
0
9
3
9
6
9
9
1
0
2
1
0
5
1
0
8
1
1
1
1
1
4
1
1
7
1
2
0
1
2
3
1
2
6
1
2
9
1
3
2
25000
CPUE
YEAR
Fishery 3
20000
15000
10000
30000
5000
25000
0
7
2
CPUE
20000
7
5
7
8
8
1
8
4
8
7
9
0
9
3
9
6
9
9
1
0
2
YEAR
15000
10000
5000
0
7
2
7
5
7
8
8
1
8
4
8
7
9
0
9
3
9
6
9
9
1
0
2
YEAR
1
0
5
1
0
8
1
1
1
1
1
4
1
1
7
1
2
0
1
2
3
1
2
6
1
2
9
1
3
2
1
0
5
1
0
8
1
1
1
1
1
4
1
1
7
1
2
0
1
2
3
1
2
6
1
2
9
1
3
2
Fit to CPUE data – Longline
Fishery 8
6
5
CPUE
4
3
2
1
0
0
3
6
9
1
2
1
5
1
8
2
1
2
4
2
7
3
0
3
3
3
6
3
9
4
2
4
5
4
8
5
1
5
4
5
7
6
0
6
3
6
6
6
9
7
2
7
5
7
8
8
1
8
4
8
7
9
0
9
3
9
6
9
9
1
0
2
1
0
5
1
0
8
1
1
1
1
1
4
1
1
7
1
2
0
1
2
3
1
2
6
YEAR
Fishery 9
3
2.5
CPUE
2
1.5
1
0.5
0
0
3
6
9
1
2
1
5
1
8
2
1
2
4
2
7
3
0
3
3
3
6
3
9
4
2
4
5
4
8
5
1
5
4
5
7
6
0
6
3
6
6
Quarter
6
9
7
2
7
5
7
8
8
1
8
4
8
7
9
0
9
3
9
6
9
9
1
0
2
1
0
5
1
0
8
1
1
1
1
1
4
1
1
7
1
2
0
1
2
3
1
2
6
Fishing mortality
Ages 5-8 - Edades 5-8
0.15
Average total F - F total media
Average total F - F total media
Ages 1-4 - Edades 1-4
0.20
Ages 1-4
0.10
0.05
0.00
1970
1975
1980
1985
1990
1995
2000
2005
2010
0.20
Ages 5-8
0.15
0.10
0.05
0.00
1970
1975
0.15
Ages 9-12
0.10
0.05
0.00
1970
1975
1980
1985
1990
1995
2000
2005
2010
Average total F - F total media
Average total F - F total media
Ages 17-20
0.05
1975
1980
1985
1990
1995
0.15
2000
2005
2010
Average total F - F total media
Average total F - F total media
Ages 25-28
0.10
0.05
1975
1980
1985
1990
1995
2000
2005
2010
Average total F - F total media
Average total F - F total media
Ages 33-36
0.05
1975
1980
1985
1990
1995
2000
2005
2010
2000
2005
2010
2000
2005
2010
2000
2005
2010
0.05
0.00
1970
1975
1980
1985
1990
1995
0.20
0.15
Ages 21-24
0.10
0.05
0.00
1970
1975
1980
1985
1990
1995
0.20
0.15
Ages 29-32
0.10
0.05
0.00
1970
1975
1980
1985
1990
1995
Ages 37-40 - Edades 37-40
0.10
0.00
1970
2010
0.10
Ages 33-36 - Edades 33-36
0.20
0.15
2005
Ages 29-32 - Edades 29-32
0.20
0.00
1970
2000
Ages 13-16
Ages 25-28 - Edades 25-28
0.15
1995
Ages 21-24 - Edades 21-24
0.10
0.00
1970
1990
0.20
Ages 17-20 - Edades 17-20
0.20
0.15
1985
Ages 13-16 - Edades 13-16
0.20
Average total F - F total media
Average total F - F total media
Ages 9-12 - Edades 9-12
1980
2000
2005
2010
0.20
0.15
Ages 37-40
0.10
0.05
0.00
1970
1975
1980
1985
1990
1995
0.16
0.14
0.12
0.10
1993-2006
0.08
0.06
0.04
1975-1992
0.02
0.00
0
5
10
15
20
25
30
Age in quarters - Edad en trimestres
1975-1992
1993-2006
35
40
Average total F - F total media
Average total F - F total media
Age-specific fishing mortality
Size selectivity
S Offshore FLT
Early FLT
Equatorial FLT
N Offshore FLT
Coastal FLT
Early UNA
N LL
Recent UNA
S LL
Recruitment
Biomass
Biomass of fish 0.75 + years old
700,000
Summary biomass (tons)
600,000
500,000
400,000
300,000
200,000
100,000
0
1975
1980
1985
1990
Year
1995
2000
2005
Spawning biomass
Spawning biomass (tons)
Population fecundity
1,800
4.50
1,600
4.00
1,400
3.50
1,200
3.00
1,000
2.50
800
2.00
600
1.50
400
1.00
200
0.50
0
1975
0.00
1980
1985
1990
Year
1995
2000
2005
No-fishing plot
5,000
4,500
Spawning biomass (mt)
4,000
3,500
3,000
No LL
2,500
No FO
No Dis
2,000
1,500
1,000
500
0
1975
1980
1985
1990
Year
1995
2000
2005
Average weight
80
PS
70
LL
Mean weight (kg)
60
50
40
30
20
10
0
1975
1980
1985
1990
1995
Year
2000
2005
2010
Retrospective analysis - biomass
700,000
Summary biomass (tons)
600,000
500,000
400,000
300,000
2007
200,000
2006
100,000
0
1975
2005
1980
1985
1990
1990
Year
1995
2000
2005
Retrospective analysis - recruitment
6
2007
2006
Relative recruitment
2005
4
2
0
1975
1980
1985
1990
Year
1995
2000
2005
Comparisons with A-SCALA
700,000
Summary biomass (tons)
600,000
500,000
400,000
300,000
SS2 2007
200,000
A-SCALA 2006
A-SCALA 2007
100,000
0
1975
1980
1985
1990
Year
1995
2000
2005
Comparisons with A-SCALA assessments
1,800
Spawning biomass (tons)
1,600
1,400
1,200
1,000
800
600
SS2 2007
A-SCALA 2006
400
A-SCALA 2007
200
0
1975
1980
1985
1990
Year
1995
2000
2005
Comparisons with A-SCALA assessments
6
Relative recruitment
SS2 2007
A-SCALA 2007
4
2
0
1975
1980
1985
1990
Year
1995
2000
2005
Comparisons to reference points
• Spawning biomass depletion (SBR)
Spawning biomass ratio
0.60
Spawning biomass ratio
0.50
0.40
0.30
0.20
SS2 2007
0.10
0.00
1975
1980
1985
1990
Year
1995
2000
2005
SBR comparison with A-SCALA
0.60
Spawning biomass ratio
0.50
0.40
0.30
0.20
SS2 2007
A-SCALA 2006
0.10
0.00
1975
A-SCALA 2007
1980
1985
1990
Year
1995
2000
2005
Time varying indicators
200,000
0.30
0.25
AMSY
SAMSY/S0
150,000
0.20
0.15
100,000
0.10
50,000
0.05
1980
1990
2000
0
1970
2010
1.6
7
1.4
6
1.2
1980
1990
2000
2010
5
F multiplier
Srecent/SAMSY
0.00
1970
1.0
0.8
0.6
4
3
2
0.4
0.2
1
0.0
1970
0
1970
1980
1990
2000
2010
1980
1990
2000
2010
AMSY-quantities
F's 2004 & 2005
Base case
2003-2004
2005-2006
92,758
101,316
86,134
313,767
325,300
300,779
SAMSY
688
700
664
BAMSY/B0
0.27
0.28
0.26
SAMSY/S0
Crecent/AMSY
Brecent/BAMSY
0.22
1.10
1.08
0.90
0.77
0.23
1.03
1.05
0.89
0.75
0.22
1.21
1.13
0.93
0.90
AMSY
BAMSY
Srecent/SAMSY
Fmultiplier
AMSY-quantities – by fishery
All gears
92,758
313,767
PS only
62,566
230,786
LL only
175,340
312,126
SAMSY
688
510
416
BAMSY/B0
0.27
0.20
0.27
SAMSY/S0
Crecent/AMSY
Brecent/BAMSY
0.22
1.10
1.08
0.90
0.77
0.17
1.67
1.47
1.22
1.41
0.14
0.60
1.09
1.49
4.32
AMSY
BAMSY
Srecent/SAMSY
Fmultiplier
1.6
1.4
1.2
1/Fscale
1
0.8
0.6
0.4
0.2
0
0
0.5
1
1.5
2
S/SMSY(t)
2.5
3
3.5
4
Forward simulations
•
•
•
•
Biomass
Spawning biomass depletion
Surface fishery catch
Longline catch
Spawning biomass ratio
Predicted catches – purse-seine
Surface fisheries
35000
30000
Tons
25000
20000
15000
10000
5000
0
1975
1980
1985
1990
1995
Year
2000
2005
2010
2015
Predicted catches – longline
Longline fisheries
35000
30000
Tons
25000
20000
15000
10000
5000
0
1975
1980
1985
1990
1995
Year
2000
2005
2010
2015
Sensitivity analyses
1. Spawner-recruitment relationship (steepness =
0.75)
2. Growth
-
Growth estimated
Linf fixed (171.5 and 201.5)
3. Fitting to the initial equilibrium catch
4. Use of iterative reweighting of data
5. Time blocking of selectivity and catchability for
southern longline fishery
6. Inclusion of new Japanese longline data
Stock-recruitment relationship
(h = 0.75)
Biomass
800,000
Summary biomass (tons)
700,000
600,000
500,000
400,000
300,000
basecase
200,000
h = 0.75
100,000
0
1975
1980
1985
1990
Year
1995
2000
2005
Recruitment
6
Summary biomass (tons)
basecase
h = 0.75
4
2
0
1975
1980
1985
1990
Year
1995
2000
2005
Spawning biomass ratio
0.60
Spawning biomass ratio
0.50
0.40
0.30
0.20
basecase
0.10
h = 0.75
0.00
1975
1980
1985
1990
Year
1995
2000
2005
Spawner-recruitment curve
1.80E+07
1.60E+07
Expect-mean
1.40E+07
Bias-adjust
Recruitment
1.20E+07
Time_series
1.00E+07
8.00E+06
6.00E+06
4.00E+06
2.00E+06
0.00E+00
0.00E+00
5.00E+05
1.00E+06
1.50E+06
2.00E+06
2.50E+06
Female Spbio
3.00E+06
3.50E+06
4.00E+06
Use of CPUE time series for southern
longline fishery only
Spawning biomass ratio
0.70
Spawning biomass ratio
0.60
0.50
0.40
0.30
0.20
basecase
0.10
0.00
1975
cpue 9
1980
1985
1990
Year
1995
2000
2005
Model fit to CPUE data
3
2.5
CPUE
2
1.5
1
0.5
0
0 3 6 9 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 9 1 1 1 1 1 1 1 1 1
2 5 8 1 4 7 0 3 6 9 2 5 8 1 4 7 0 3 6 9 2 5 8 1 4 7 0 3 6 9 0 0 0 1 1 1 2 2 2
2 5 8 1 4 7 0 3 6
YEAR
Assumed value for the asymptotic
length parameter of the VB growth
curve
Growth curves
250
Mean length at age (cm)
200
150
100
Base case
Growth estimated
50
0
0
5
10
15
20
25
30
35
40
Age
250
Mean length at age (cm)
200
150
100
Base case
Lmax = 201.5
Lmax = 171.5
50
0
0
5
10
15
20
Age
25
30
35
40
SBR
1.0
Lmax = 171.5
Spawning biomass ratio
Growth estimated
Lmax = 201.5
0.8
0.5
0.3
0.0
1975
1980
1985
1990
Year
1995
2000
2005
Fit to initial equilibrium catch
Spawning biomass ratio
0.80
basecase
0.70
init_catch
Spawning biomass ratio
0.60
0.50
0.40
0.30
0.20
0.10
0.00
1975
1980
1985
1990
Year
1995
2000
2005
Use of iterative reweighting
Iterative reweighting
Basecase Iteration 1 Iteration 2 Iteration 2
used
used
mse
0.60
0.50
0.63
0.68
Rec
Mean input SE
CPUE
2
3
5
8
9
0.40
0.40
0.40
0.40
0.20
Mean effective sample size
LF
1
3.77
2
15.02
3
13.58
4
1.88
5
9.89
6
6.45
7
2.91
8
4.22
9
14.64
0.38
0.67
0.67
0.52
0.16
0.41
0.73
0.76
0.59
0.36
0.44
0.76
0.80
0.66
0.54
21.75
73.04
67.41
7.28
52.89
30.25
15.26
63.96
222.61
21.86
74.78
64.30
7.05
56.95
31.62
15.66
72.83
255.92
19.82
74.33
62.51
7.43
57.47
31.63
15.51
73.66
258.21
Spawning biomass ratio
0.60
Spawning biomass ratio
0.50
0.40
0.30
0.20
basecase
0.10
iter_reweight
0.00
1975
1980
1985
1990
Year
1995
2000
2005
Fit to CPUE data
4
3.5
3
CPUE
2.5
2
1.5
1
0.5
0
0 3 6 9 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 9 1 1 1 1 1 1 1 1 1
2 5 8 1 4 7 0 3 6 9 2 5 8 1 4 7 0 3 6 9 2 5 8 1 4 7 0 3 6 9 0 0 0 1 1 1 2 2 2
2 5 8 1 4 7 0 3 6
YEAR
Residual plot
Use two time blocks for selectivity and
catchability of the southern longline
fishery
Fit to LF data – base case
Spawning biomass ratio
0.60
Spawning biomass ratio
0.50
0.40
0.30
0.20
basecase
0.10
time blocks
time blocks - iter. rw.
0.00
1975
1980
1985
1990
Year
1995
2000
2005
Fit to CPUE data
Without iterative reweighting
2.5
3
2.5
2
2
CPUE
CPUE
1.5
1.5
1
1
0.5
0.5
0
0
0
3
6
9
1
2
1
5
1
8
2
1
2
4
2
7
3
0
3
3
3
6
3
9
4
2
4
5
4
8
5
1
5
4
5
0
5
7
5
3
5
6
5
9
6
2
6
5
6
8
7
1
7
4
7
7
8
0
8
3
8
6
8
9
9
2
9
5
9
8
1
0
1
Quarter
1
0
4
1
0
7
1
1
0
1
1
3
1
1
6
1
1
9
1
1
9
1
2
2
1
2
5
Quarter
With iterative reweighting
2.5
2.5
2
1.5
1.5
CPUE
CPUE
2
1
1
0.5
0.5
0
5
0
0
0
3
6
9
1
2
1
5
1
8
2
1
2
4
2
7
3
0
Quarter
3
3
3
6
3
9
4
2
4
5
4
8
5
1
5
4
5
7
5
3
5
6
5
9
6
2
6
5
6
8
7
1
7
4
7
7
8
0
8
3
8
6
8
9
Quarter
9
2
9
5
9
8
1
0
1
1
0
4
1
0
7
1
1
0
1
1
3
1
1
6
1
2
2
1
2
5
Residual plot
Inclusion of the new Japanese longline
data
Biomass
700,000
Summary biomass (tons)
600,000
500,000
400,000
300,000
200,000
basecase
new JPN data
100,000
0
1975
1980
1985
1990
Year
1995
2000
2005
Recruitment
6
basecase
Relative recruitment
new JPN data
4
2
0
1975
1980
1985
1990
Year
1995
2000
2005
SBR
0.60
Spawning biomass ratio
0.50
0.40
0.30
0.20
basecase
0.10
new JPN data
0.00
1975
1980
1985
1990
Year
1995
2000
2005
Comparisons between models
Basecase
h = 0.75
cpue9
growth est.
Lmax = 171.5
Lmax = 201.5
iter. rwt
t. blocks
t. blocks (iter. rwt)
Smsy/S0 Srecent/Smsy Fmultiplier
0.22
0.90
0.77
0.31
0.61
0.55
0.22
0.50
0.61
0.21
1.19
0.98
0.21
1.58
1.34
0.22
0.60
0.57
0.23
0.26
0.79
0.25
0.82
1.11
0.23
0.26
0.79
Summary: Main results
• Both total and spawning biomass is
estimated to have substantially declined
since 2000
• Current biomass level is low compared
to average unexploited conditions
• The current effort levels are too high to
maintain the population at level that will
support AMSY
• Yileds could be increased if more of the
catch was taken in the longline fisheries
What is robust
• Fishing mortality levels are greater than that
necessary to achieve the maximum
sustainable yield
• Two exceptions: Lmax fixed and time blocks
Plausible Sensitivities and Uncertainties
• Results are more pessimistic with the
inclusion of a stock-recruitment
relationship
• Biomass trends are sensitive to the
weighting of different datasets
• Recent estimates are uncertain and
subject to retrospective bias
Conclusions
• Current spawning biomass is unlikely to
remain at or above the level required to
produce AMSY.
• In the most recent years the fishing mortality
is greater than that required to produce
AMSY.
• Under average recruitment, the stock is
predicted to be below the level that would
support AMSY unless fishing mortality levels
are reduced further than the current
restrictions.
Comparisons between models
Data
CPUE
Basecase
h = 0.75
cpue 9
All params
Growth estimation
Lmax = 171.5 Lmax = 201.5 Fit init. catch
Iter. reweight
t. blocks
t_blocks (iter. rw)
2
3
5
8
9
-20.72
23.61
21.41
-5.60
-153.53
-20.59
23.53
21.82
-5.83
-154.17
-138.23
-20.16
23.87
22.56
-7.15
-156.17
-19.04
25.01
23.83
-6.49
-156.97
-22.13
22.41
18.99
-7.42
-151.35
-20.24
23.86
22.93
-5.22
-154.22
-13.60
10.76
12.56
9.95
14.02
-20.79
23.69
21.20
-5.15
-160.81
-16.8392
8.9456
10.7926
0.0755354
-107.21
1
2
3
4
5
6
7
8
9
166.84
195.64
246.40
70.93
136.75
132.05
129.59
124.17
272.40
166.73
196.72
246.55
75.51
137.08
132.21
129.00
123.89
274.77
166.11
186.15
236.11
73.64
129.47
131.48
128.32
123.66
276.30
165.71
205.48
251.42
72.02
144.17
133.66
129.50
119.90
244.80
165.29
211.91
258.01
70.70
148.92
134.39
122.77
119.22
222.73
167.37
196.34
243.94
70.10
136.10
132.97
136.08
123.74
289.84
166.79
196.88
246.64
71.93
137.49
130.95
128.03
123.49
286.84
984.33
962.80
1229.45
268.08
724.54
655.15
714.51
1631.91
3695.10
166.70
197.08
245.82
75.36
137.23
131.98
129.65
123.36
236.49
958.902
945.143
1277.03
256.279
688.79
621.809
713.554
1469.02
3417.48
Age at length
-
-
-
103.72
112.73
81.44
-
-
-
-
Recruitment
-24.72
-20.69
-26.70
-30.02
-32.91
-19.84
-21.23
17.30
-20.16
18.9462
Total
1315.22
1326.52
1286.32
1403.29
1400.07
1418.58
1334.92
10916.86
1281.65
10262.72
Size comps.