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SAITHE AND HAKE SPATIAL INTERACTIONS
IN THE NORTH SEA
ICES/NAFO Symposium

C.

Loots1 ,

K.

Rabhi1 ,

Xochitl Cormon1,2 ,
M. Rouquette1 , S. Vaz1 , Y. Vermard1 and
P. Marchal1

1 IFREMER Boulogne-sur-Mer
Fishery Science Departement
2 Université

Lille 1
Sciences and Technology

15-18 October 2013, Saint Andrews, NB, Canada
Introduction

Context

The North Sea:
An European area

An ecosytem changing..
Environmental
factors1
Human activity

1

ICES, 2008

X. CORMON

Saithe and hake spatial interactions

October 2013

1/8
Introduction

Context

The North Sea:
An European area

An ecosytem changing..
Environmental
factors1
Human activity
with consequences..
on species
distribution2
and species
interactions3

1
2
3

ICES, 2008
Perry et al., 2005
Klein et al., 2008
X. CORMON

Saithe and hake spatial interactions

October 2013

1/8
Introduction

Context

The North Sea:
An European area

An ecosytem changing..
Environmental
factors1
Human activity
with consequences..
on species
distribution2
and species
interactions3

1
2
3

ICES, 2008
Perry et al., 2005
Klein et al., 2008
X. CORMON

Saithe and hake spatial interactions

October 2013

1/8
Introduction

Species presentation

Two species of interest:
Which species?
Saithe, Pollachius virens

X. CORMON

Hake, Merluccius merluccius

Saithe and hake spatial interactions

October 2013

2/8
Introduction

Species presentation

Two species of interest:
Which species?
Saithe, Pollachius virens

Hake, Merluccius merluccius

600

Historical trends of SSB4

300
0

100

200

SSBS_1000t

400

500

Saithe
(IIIa, IV and VI)
Hake
(IIIa, IV, VI, VII and VIIIa,b,d)

1970

4

1980

1990

2000

2010

ICES, 2013
X. CORMON

Saithe and hake spatial interactions

October 2013

2/8
Introduction

Species presentation

Two species of interest:
Which species?
Saithe, Pollachius virens

Hake, Merluccius merluccius

Presence-absence ratio per statistical rectangles of the area of interest over years
(Data from DATRAS, 1991-2012, Q1)
1.00

1.00

0.75

0.75

0

0.50

0.50

1
0.25

0.00

0.25

1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

0 00

1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Saithe

X. CORMON

Hake

Saithe and hake spatial interactions

October 2013

2/8
Materials and methods

Species presence and overlap

Understand their spatial distribution and overlap
1
2

Data from DATRAS, 1991-2012, Q1
Presence-absence GLM (binomial, logit)

X. CORMON

Saithe and hake spatial interactions

October 2013

3/8
Materials and methods

Species presence and overlap

Understand their spatial distribution and overlap
1
2

Data from DATRAS, 1991-2012, Q1
Presence-absence GLM (binomial, logit)
Response: saithe, hake or overlap

4
5

Bergstad, 1991
Dubuit, 1991
X. CORMON

Saithe and hake spatial interactions

October 2013

3/8
Materials and methods

Species presence and overlap

Understand their spatial distribution and overlap
1
2

Data from DATRAS, 1991-2012, Q1
Presence-absence GLM (binomial, logit)
Response: saithe, hake or overlap
Descriptors:
ENV: temperature, bathymetry and sediment type;
ORG: saithe, hake, cod groups (G. morhua), Norway pout (T.
esmarkii), herring groups (C. harengus) and blue whiting
(M. poutassou) presence-absence4,5 ;

4
5

Bergstad, 1991
Dubuit, 1991
X. CORMON

Saithe and hake spatial interactions

October 2013

3/8
Materials and methods

Species presence and overlap

Understand their spatial distribution and overlap
1
2

Data from DATRAS, 1991-2012, Q1
Presence-absence GLM (binomial, logit)
Response: saithe, hake or overlap
Descriptors:
ENV: temperature, bathymetry and sediment type;
ORG: saithe, hake, cod groups (G. morhua), Norway pout (T.
esmarkii), herring groups (C. harengus) and blue whiting
(M. poutassou) presence-absence4,5 ;
Selection based on parsimony and sensitivity (true positive rate)
calculated on a separate predictive dataset

4
5

Bergstad, 1991
Dubuit, 1991
X. CORMON

Saithe and hake spatial interactions

October 2013

3/8
Materials and methods

Species presence and overlap

Understand their spatial distribution and overlap
1
2

Data from DATRAS, 1991-2012, Q1
Presence-absence GLM (binomial, logit)
Response: saithe, hake or overlap
Descriptors:
ENV: temperature, bathymetry and sediment type;
ORG: saithe, hake, cod groups (G. morhua), Norway pout (T.
esmarkii), herring groups (C. harengus) and blue whiting
(M. poutassou) presence-absence4,5 ;
Selection based on parsimony and sensitivity (true positive rate)
calculated on a separate predictive dataset

3

4
5

Mapping

Bergstad, 1991
Dubuit, 1991
X. CORMON

Saithe and hake spatial interactions

October 2013

3/8
Materials and methods

Species presence and overlap

Understand their spatial distribution and overlap
1
2

Data from DATRAS, 1991-2012, Q1
Presence-absence GLM (binomial, logit)
Response: saithe, hake or overlap
Descriptors:
ENV: temperature, bathymetry and sediment type;
ORG: saithe, hake, cod groups (G. morhua), Norway pout (T.
esmarkii), herring groups (C. harengus) and blue whiting
(M. poutassou) presence-absence4,5 ;
Selection based on parsimony and sensitivity (true positive rate)
calculated on a separate predictive dataset

3

Mapping

4

R software

4
5

Bergstad, 1991
Dubuit, 1991
X. CORMON

Saithe and hake spatial interactions

October 2013

3/8
Materials and methods

Species presence and overlap

Understand their spatial distribution and overlap
1
2

Data from DATRAS, 1991-2012, Q1
Presence-absence GLM (binomial, logit)
Response: saithe, hake or overlap
Descriptors:
ENV: temperature, bathymetry and sediment type;
ORG: saithe, hake, cod groups (G. morhua), Norway pout (T.
esmarkii), herring groups (C. harengus) and blue whiting
(M. poutassou) presence-absence4,5 ;
Selection based on parsimony and sensitivity (true positive rate)
calculated on a separate predictive dataset

3

Mapping

4

R software

4
5

Bergstad, 1991
Dubuit, 1991
X. CORMON

Saithe and hake spatial interactions

October 2013

3/8
Results and discussion

Models fit

Models fit
Some of the relevant descriptors effects
adjR2

Saithe
0.45

Hake
0.38

Overlap
0.29

S

NS

H

NA

TEMP

S

H

O

NA

SAITHE

DEPTH

O

NORWAY POUT

HAKE

NA

NA
HERRING juv

Other descriptors
Sediment type is never significant except for fine sand for all models (´);
Cod is significant for saithe and overlap models (`) while adults herring is only for
hake and overlap ones (`), blue whiting is only significant for hake (`).
X. CORMON

Saithe and hake spatial interactions

October 2013

4/8
Results and discussion

Maps from models output

Saithe presence probability evolution since 1991

Probable habitat at first quarter
(1991-1996)

Changes in presence probability
over the last 15 years

1.0
60

60

0.4

0.8

58

58

0.2

0.6

56

56

0.0

0.4

54

54

−0.2

0.2

52

52

−0.4
0.0
0

X. CORMON

5

0

10

Saithe and hake spatial interactions

5

10

October 2013

5/8
Results and discussion

Maps from models output

Hake presence probability evolution since 1991

Probable habitat at first quarter
(1991-1996)

Changes in presence probability
over the last 15 years

1.0
60

60

0.4

0.8

58

58

0.2

0.6

56

56

0.0

0.4

54

54

−0.2

0.2

52

52

−0.4
0.0
0

X. CORMON

5

0

10

Saithe and hake spatial interactions

5

10

October 2013

6/8
Results and discussion

Maps from models output

Overlap evolution since 1991

Probable overlap at first quarter
(1991-1996)

Changes in overlap probability
over the last 15 years

1.0
60

60

0.4

0.8

58

58

0.2

0.6

56

56

0.0

0.4

54

54

−0.2

0.2

52

52

−0.4
0.0
0

X. CORMON

5

0

10

Saithe and hake spatial interactions

5

10

October 2013

7/8
Outlooks

Outlooks

1

Input efficient spatial autocorrelation consideration (SAC)

2

Stomach content analysis study (in progress)

X. CORMON

Saithe and hake spatial interactions

October 2013

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Outlooks

Outlooks

1

Input efficient spatial autocorrelation consideration (SAC)

2

Stomach content analysis study (in progress)

3

Combination of modeling and experimental results

X. CORMON

Saithe and hake spatial interactions

October 2013

8/8
Outlooks

Outlooks

1

Input efficient spatial autocorrelation consideration (SAC)

2

Stomach content analysis study (in progress)

3

Combination of modeling and experimental results

4

Enter in a predictive mode

X. CORMON

Saithe and hake spatial interactions

October 2013

8/8
Outlooks

Outlooks

1

Input efficient spatial autocorrelation consideration (SAC)

2

Stomach content analysis study (in progress)

3

Combination of modeling and experimental results

4

Enter in a predictive mode

5

Application to management in multispecific and ecosystemic approach
context

X. CORMON

Saithe and hake spatial interactions

October 2013

8/8
Outlooks

Outlooks

1

Input efficient spatial autocorrelation consideration (SAC)

2

Stomach content analysis study (in progress)

3

Combination of modeling and experimental results

4

Enter in a predictive mode

5

Application to management in multispecific and ecosystemic approach
context

X. CORMON

Saithe and hake spatial interactions

October 2013

8/8
The End

The End...

Thank you for your attention.
Any question?

X. CORMON

Saithe and hake spatial interactions

October 2013

8/8
References

References
Bergstad, O. A. (1991). "Distribution and Trophic Ecology of Some Gadoid Fish of the
Norwegian Deep .1. Accounts of Individual-Species." Sarsia 75(4): 269-313.
Borcard, D., Gillet, F. and P. Legendre (2011)."Eigenvector-Based Spatial variables and Spatial
Modelling." Numerical Ecology with R: 243-279. Springer, UseR!
Dubuit, M. H. (1991). "Food and feeding of saithe (Pollachius virens) off Scotland." Fisheries
Research 12(4): 307-323.
ICES (2013). "Saithe in Subareas IV, VI and Division IIIa." Report of the Working Group on the
Assessment of Demersal Stocks in the North Sea and Skagerrak (WGNSSK): ICES
CM/ACOM:13 : 565-609.
ICES (2013). "Hake in Division IIIa, Subareas IV, VI and VII and Divisions VIIIa,b,d (Northern
stock)" Report of the Working Group on the Assessment of Southern Shelf Stocks of Hake,
Monk and Megrim (WGHMM): ICES CM/ACOM:11 : 34-73.
ICES Database of Trawl Surveys (2013). "ICES Database of Trawl Surveys (DATRAS)"
Extraction JUNE 2013 of International Bottom Trawl Survey (IBTS). ICES, Copenhagen”
Klein, D. R., H. H. Bruun, et al. (2008). "Climate change influences on species
interrelationships and distributions in high-Arctic Greenland." Advances in Ecological Research,
Vol 40 40: 81-100.
Perry, A. L., P. J. Low, et al. (2005). "Climate change and distribution shifts in marine fishes."
Science 308(5730): 1912-1915.

X. CORMON

Saithe and hake spatial interactions

October 2013

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Annex

Non-spatial or spatial?

Comparison of non-spatial and spatial models
Saithe
Model type
ENV+ORG
ENV+ORG+MEM

NbTot
11
25

NbORG
6
3

NbENV
5
3

TPR
0.84
0.88

Dev ě 1%
4
7

SAC
5*** 0.25
4*** 0.15

Model type
ENV+ORG
ENV+ORG+MEM

NbTot
13
21

NbORG
5
1

NbENV
8
5

TPR
0.88
0.90

Dev ě 1%
6
10

SAC
9*** 0.35
8*** 0.25

Model type
ENV+ORG
ENV+ORG+MEM

NbTot
10
14

NbORG
4
0

NbENV
6
4

TPR
0.89
0.93

Dev ě 1%
8
8

SAC
5*** 0.30
4*** 0.20

Hake

Overlap

Models without SAC consideration are chosen
X. CORMON

Saithe and hake spatial interactions

October 2013

8/8

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SAITHE AND HAKE SPATIAL INTERACTIONS IN THE NORTH SEA

  • 1. SAITHE AND HAKE SPATIAL INTERACTIONS IN THE NORTH SEA ICES/NAFO Symposium C. Loots1 , K. Rabhi1 , Xochitl Cormon1,2 , M. Rouquette1 , S. Vaz1 , Y. Vermard1 and P. Marchal1 1 IFREMER Boulogne-sur-Mer Fishery Science Departement 2 Université Lille 1 Sciences and Technology 15-18 October 2013, Saint Andrews, NB, Canada
  • 2. Introduction Context The North Sea: An European area An ecosytem changing.. Environmental factors1 Human activity 1 ICES, 2008 X. CORMON Saithe and hake spatial interactions October 2013 1/8
  • 3. Introduction Context The North Sea: An European area An ecosytem changing.. Environmental factors1 Human activity with consequences.. on species distribution2 and species interactions3 1 2 3 ICES, 2008 Perry et al., 2005 Klein et al., 2008 X. CORMON Saithe and hake spatial interactions October 2013 1/8
  • 4. Introduction Context The North Sea: An European area An ecosytem changing.. Environmental factors1 Human activity with consequences.. on species distribution2 and species interactions3 1 2 3 ICES, 2008 Perry et al., 2005 Klein et al., 2008 X. CORMON Saithe and hake spatial interactions October 2013 1/8
  • 5. Introduction Species presentation Two species of interest: Which species? Saithe, Pollachius virens X. CORMON Hake, Merluccius merluccius Saithe and hake spatial interactions October 2013 2/8
  • 6. Introduction Species presentation Two species of interest: Which species? Saithe, Pollachius virens Hake, Merluccius merluccius 600 Historical trends of SSB4 300 0 100 200 SSBS_1000t 400 500 Saithe (IIIa, IV and VI) Hake (IIIa, IV, VI, VII and VIIIa,b,d) 1970 4 1980 1990 2000 2010 ICES, 2013 X. CORMON Saithe and hake spatial interactions October 2013 2/8
  • 7. Introduction Species presentation Two species of interest: Which species? Saithe, Pollachius virens Hake, Merluccius merluccius Presence-absence ratio per statistical rectangles of the area of interest over years (Data from DATRAS, 1991-2012, Q1) 1.00 1.00 0.75 0.75 0 0.50 0.50 1 0.25 0.00 0.25 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 0 00 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 Saithe X. CORMON Hake Saithe and hake spatial interactions October 2013 2/8
  • 8. Materials and methods Species presence and overlap Understand their spatial distribution and overlap 1 2 Data from DATRAS, 1991-2012, Q1 Presence-absence GLM (binomial, logit) X. CORMON Saithe and hake spatial interactions October 2013 3/8
  • 9. Materials and methods Species presence and overlap Understand their spatial distribution and overlap 1 2 Data from DATRAS, 1991-2012, Q1 Presence-absence GLM (binomial, logit) Response: saithe, hake or overlap 4 5 Bergstad, 1991 Dubuit, 1991 X. CORMON Saithe and hake spatial interactions October 2013 3/8
  • 10. Materials and methods Species presence and overlap Understand their spatial distribution and overlap 1 2 Data from DATRAS, 1991-2012, Q1 Presence-absence GLM (binomial, logit) Response: saithe, hake or overlap Descriptors: ENV: temperature, bathymetry and sediment type; ORG: saithe, hake, cod groups (G. morhua), Norway pout (T. esmarkii), herring groups (C. harengus) and blue whiting (M. poutassou) presence-absence4,5 ; 4 5 Bergstad, 1991 Dubuit, 1991 X. CORMON Saithe and hake spatial interactions October 2013 3/8
  • 11. Materials and methods Species presence and overlap Understand their spatial distribution and overlap 1 2 Data from DATRAS, 1991-2012, Q1 Presence-absence GLM (binomial, logit) Response: saithe, hake or overlap Descriptors: ENV: temperature, bathymetry and sediment type; ORG: saithe, hake, cod groups (G. morhua), Norway pout (T. esmarkii), herring groups (C. harengus) and blue whiting (M. poutassou) presence-absence4,5 ; Selection based on parsimony and sensitivity (true positive rate) calculated on a separate predictive dataset 4 5 Bergstad, 1991 Dubuit, 1991 X. CORMON Saithe and hake spatial interactions October 2013 3/8
  • 12. Materials and methods Species presence and overlap Understand their spatial distribution and overlap 1 2 Data from DATRAS, 1991-2012, Q1 Presence-absence GLM (binomial, logit) Response: saithe, hake or overlap Descriptors: ENV: temperature, bathymetry and sediment type; ORG: saithe, hake, cod groups (G. morhua), Norway pout (T. esmarkii), herring groups (C. harengus) and blue whiting (M. poutassou) presence-absence4,5 ; Selection based on parsimony and sensitivity (true positive rate) calculated on a separate predictive dataset 3 4 5 Mapping Bergstad, 1991 Dubuit, 1991 X. CORMON Saithe and hake spatial interactions October 2013 3/8
  • 13. Materials and methods Species presence and overlap Understand their spatial distribution and overlap 1 2 Data from DATRAS, 1991-2012, Q1 Presence-absence GLM (binomial, logit) Response: saithe, hake or overlap Descriptors: ENV: temperature, bathymetry and sediment type; ORG: saithe, hake, cod groups (G. morhua), Norway pout (T. esmarkii), herring groups (C. harengus) and blue whiting (M. poutassou) presence-absence4,5 ; Selection based on parsimony and sensitivity (true positive rate) calculated on a separate predictive dataset 3 Mapping 4 R software 4 5 Bergstad, 1991 Dubuit, 1991 X. CORMON Saithe and hake spatial interactions October 2013 3/8
  • 14. Materials and methods Species presence and overlap Understand their spatial distribution and overlap 1 2 Data from DATRAS, 1991-2012, Q1 Presence-absence GLM (binomial, logit) Response: saithe, hake or overlap Descriptors: ENV: temperature, bathymetry and sediment type; ORG: saithe, hake, cod groups (G. morhua), Norway pout (T. esmarkii), herring groups (C. harengus) and blue whiting (M. poutassou) presence-absence4,5 ; Selection based on parsimony and sensitivity (true positive rate) calculated on a separate predictive dataset 3 Mapping 4 R software 4 5 Bergstad, 1991 Dubuit, 1991 X. CORMON Saithe and hake spatial interactions October 2013 3/8
  • 15. Results and discussion Models fit Models fit Some of the relevant descriptors effects adjR2 Saithe 0.45 Hake 0.38 Overlap 0.29 S NS H NA TEMP S H O NA SAITHE DEPTH O NORWAY POUT HAKE NA NA HERRING juv Other descriptors Sediment type is never significant except for fine sand for all models (´); Cod is significant for saithe and overlap models (`) while adults herring is only for hake and overlap ones (`), blue whiting is only significant for hake (`). X. CORMON Saithe and hake spatial interactions October 2013 4/8
  • 16. Results and discussion Maps from models output Saithe presence probability evolution since 1991 Probable habitat at first quarter (1991-1996) Changes in presence probability over the last 15 years 1.0 60 60 0.4 0.8 58 58 0.2 0.6 56 56 0.0 0.4 54 54 −0.2 0.2 52 52 −0.4 0.0 0 X. CORMON 5 0 10 Saithe and hake spatial interactions 5 10 October 2013 5/8
  • 17. Results and discussion Maps from models output Hake presence probability evolution since 1991 Probable habitat at first quarter (1991-1996) Changes in presence probability over the last 15 years 1.0 60 60 0.4 0.8 58 58 0.2 0.6 56 56 0.0 0.4 54 54 −0.2 0.2 52 52 −0.4 0.0 0 X. CORMON 5 0 10 Saithe and hake spatial interactions 5 10 October 2013 6/8
  • 18. Results and discussion Maps from models output Overlap evolution since 1991 Probable overlap at first quarter (1991-1996) Changes in overlap probability over the last 15 years 1.0 60 60 0.4 0.8 58 58 0.2 0.6 56 56 0.0 0.4 54 54 −0.2 0.2 52 52 −0.4 0.0 0 X. CORMON 5 0 10 Saithe and hake spatial interactions 5 10 October 2013 7/8
  • 19. Outlooks Outlooks 1 Input efficient spatial autocorrelation consideration (SAC) 2 Stomach content analysis study (in progress) X. CORMON Saithe and hake spatial interactions October 2013 8/8
  • 20. Outlooks Outlooks 1 Input efficient spatial autocorrelation consideration (SAC) 2 Stomach content analysis study (in progress) 3 Combination of modeling and experimental results X. CORMON Saithe and hake spatial interactions October 2013 8/8
  • 21. Outlooks Outlooks 1 Input efficient spatial autocorrelation consideration (SAC) 2 Stomach content analysis study (in progress) 3 Combination of modeling and experimental results 4 Enter in a predictive mode X. CORMON Saithe and hake spatial interactions October 2013 8/8
  • 22. Outlooks Outlooks 1 Input efficient spatial autocorrelation consideration (SAC) 2 Stomach content analysis study (in progress) 3 Combination of modeling and experimental results 4 Enter in a predictive mode 5 Application to management in multispecific and ecosystemic approach context X. CORMON Saithe and hake spatial interactions October 2013 8/8
  • 23. Outlooks Outlooks 1 Input efficient spatial autocorrelation consideration (SAC) 2 Stomach content analysis study (in progress) 3 Combination of modeling and experimental results 4 Enter in a predictive mode 5 Application to management in multispecific and ecosystemic approach context X. CORMON Saithe and hake spatial interactions October 2013 8/8
  • 24. The End The End... Thank you for your attention. Any question? X. CORMON Saithe and hake spatial interactions October 2013 8/8
  • 25. References References Bergstad, O. A. (1991). "Distribution and Trophic Ecology of Some Gadoid Fish of the Norwegian Deep .1. Accounts of Individual-Species." Sarsia 75(4): 269-313. Borcard, D., Gillet, F. and P. Legendre (2011)."Eigenvector-Based Spatial variables and Spatial Modelling." Numerical Ecology with R: 243-279. Springer, UseR! Dubuit, M. H. (1991). "Food and feeding of saithe (Pollachius virens) off Scotland." Fisheries Research 12(4): 307-323. ICES (2013). "Saithe in Subareas IV, VI and Division IIIa." Report of the Working Group on the Assessment of Demersal Stocks in the North Sea and Skagerrak (WGNSSK): ICES CM/ACOM:13 : 565-609. ICES (2013). "Hake in Division IIIa, Subareas IV, VI and VII and Divisions VIIIa,b,d (Northern stock)" Report of the Working Group on the Assessment of Southern Shelf Stocks of Hake, Monk and Megrim (WGHMM): ICES CM/ACOM:11 : 34-73. ICES Database of Trawl Surveys (2013). "ICES Database of Trawl Surveys (DATRAS)" Extraction JUNE 2013 of International Bottom Trawl Survey (IBTS). ICES, Copenhagen” Klein, D. R., H. H. Bruun, et al. (2008). "Climate change influences on species interrelationships and distributions in high-Arctic Greenland." Advances in Ecological Research, Vol 40 40: 81-100. Perry, A. L., P. J. Low, et al. (2005). "Climate change and distribution shifts in marine fishes." Science 308(5730): 1912-1915. X. CORMON Saithe and hake spatial interactions October 2013 8/8
  • 26. Annex Non-spatial or spatial? Comparison of non-spatial and spatial models Saithe Model type ENV+ORG ENV+ORG+MEM NbTot 11 25 NbORG 6 3 NbENV 5 3 TPR 0.84 0.88 Dev ě 1% 4 7 SAC 5*** 0.25 4*** 0.15 Model type ENV+ORG ENV+ORG+MEM NbTot 13 21 NbORG 5 1 NbENV 8 5 TPR 0.88 0.90 Dev ě 1% 6 10 SAC 9*** 0.35 8*** 0.25 Model type ENV+ORG ENV+ORG+MEM NbTot 10 14 NbORG 4 0 NbENV 6 4 TPR 0.89 0.93 Dev ě 1% 8 8 SAC 5*** 0.30 4*** 0.20 Hake Overlap Models without SAC consideration are chosen X. CORMON Saithe and hake spatial interactions October 2013 8/8