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Initial Results Using a Two-Area Directed Sardine TAC SPSWG Meeting 31 st October 2013 Carryn de Moor Doug Butterworth William Robinson Marine Resource.

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Presentation on theme: "Initial Results Using a Two-Area Directed Sardine TAC SPSWG Meeting 31 st October 2013 Carryn de Moor Doug Butterworth William Robinson Marine Resource."— Presentation transcript:

1 Initial Results Using a Two-Area Directed Sardine TAC SPSWG Meeting 31 st October 2013 Carryn de Moor Doug Butterworth William Robinson Marine Resource Assessment and Management Group (MARAM) Department of Mathematics and Applied Mathematics University of Cape Town

2 Risk Definitions risk A - the probability that total adult anchovy biomass falls below 10% of the average total adult anchovy biomass over November 1984 and November 1999 at least once during the projection period of 20 years. risk S - the probability that total adult sardine biomass falls below the average total adult sardine biomass over November 1991 and November 1994 at least once during the projection period of 20 years. risk S j - the probability that adult sardine biomass of stock j falls below the average adult sardine biomass of stock j over November 1991 and November 1994 at least once during the projection period of 20 years. risk S west2 - the probability that adult “west” stock sardine biomass falls below the average adult “west” stock sardine biomass over November 2004 and November 2011 at least once during the projection period of 20 years.

3 Movement Hypotheses NoMove – no future movement MoveB – future movement is based on a relationship with the ratio of “south” : “west” stock 1+ biomass MoveE – future movement “switches” between increasing and decreasing towards an equilibrium proportion, based on whether a favorable or unfavorable environment exists on the south coast.

4 Single Sardine Stock Management Procedure  S j=1,r βα ns risk A risk S CACA CSCS “New”No Catch 0.45N/A 0.0080.04700 “Old” Interim OMP- 13 v2 (Single- area TAC) 0.400.0900.8710.2470.209275154 “New” 0.450.0900.8710.2260.224290156 Two-area TAC β west β south “New” 0.450.090 0.8710.2260.224290156 “New” 0.4500.0900.8710.2290.15029098 “New” 0.4500.250.8710.2290.185290126

5 Two Sardine Stocks : No Catch Figure 1 Biomass above which maximum recruitment would occur on average

6 Two Sardine Stocks : No Catch NoMove: 1946 105 MoveB: 213 MoveE: 109

7 Two Sardine Stocks : No Catch Figure 2 NoMoveMoveB MoveE Assumption that k covE =1

8 Two Sardine Stocks : No Catch Figure 3 Average 91-94 1+ Biomass NoMoveMoveB MoveE

9 Two Sardine Stocks : No Catch Figure 4 NoMove MoveB MoveE Average 91-94 1+ Biomass

10 Two Sardine Stocks : No Catch Movement Model βα ns risk A risk S risk S west risk S south risk S west2 CACA CSCS C S west C S south NoMoveN/A 0.0080.1830.3280.9970.0680000 Unfavorabl e Environ N/A 0.0080.5420.8890.2470.7970000 MoveBN/A 0.0080.5930.9520.1340.9040000 MoveEN/A 0.0080.7480.9480.4160.9080000 Favorable Environ N/A 0.0080.9350.9910.7900.9790000

11 Two Sardine Stocks : Catch Scenarios Figures 5,10,15 NoMoveMoveB MoveE Single Area (Interim OMP- 13v2) Two Area (same betas) Two Area (no west coast TAC) Comparing Median West SSB Between Alternative Catch Scenarios

12 Two Sardine Stocks : Catch Scenarios Figures 6,11,16 NoMoveMoveB MoveE Single Area (Interim OMP- 13v2) Two Area (same betas) Two Area (no west coast TAC) Comparing Median South SSB Between Alternative Catch Scenarios

13 Two Sardine Stocks: Interim OMP-13 v2 Movement Model βα ns risk A risk S risk S west risk S south risk S west2 CACA CSCS C S west C S south NoMoveN/A 0.0080.1830.3280.9970.0680000 MoveBN/A 0.0080.5930.9520.1340.9040000 MoveEN/A 0.0080.7480.9480.4160.9080000 NoMove 0.0900.8710.2380.3680.5070.9980.2252881651632 MoveB 0.0900.8710.2410.9620.9920.9380.976292261412 MoveE 0.0900.8710.2400.9930.9990.9790.999292251412 No Catch Interim OMP-13 v2

14 Two Sardine Stocks : Two-area MP Movement Model βα ns risk A risk S risk S west risk S south risk S west2 CACA CSCS C S west C S south Single Area TAC (MoveE) 0.0900.8710.2400.9930.9990.9790.999292251412 NoMove 0.09 0.8710.2370.3340.4660.9980.1652881771743 MoveB 0.09 0.8710.2420.9180.9770.8550.952292401526 MoveE 0.09 0.8710.2450.9410.9910.8280.981292451529 NoMove 00.090.8710.2440.2410.3611.0000.092288808 MoveE 00.090.8710.2470.8420.9540.7030.916291410 MoveB 00.090.8710.2500.7640.9650.4970.921291530 MoveE 00.250.8710.2470.8540.9540.7240.916291590 No West Coast Same Betas

15 Two Sardine Stocks : Catch Scenarios Figures 7,12,17 NoMoveMoveB MoveE Single Area (Interim OMP- 13v2) Two Area (same betas) Two Area (no west coast TAC) Comparing Median Total Catch Between Alternative Catch Scenarios

16 Initial Results Using a Two-Area Directed Sardine TAC Thank you for your attention


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