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Appendix 2.

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Appendix 2. Population viability analysis results for quasi-extinction at time step 50, intrinsic growth rate, and median abundance at time step 50. Simulations were run for six aggregations.

Aggregation K %K Inits Quasi-extinction Median abundance Intrinsic growth rate Ungrazed Grazed Ungrazed Grazed Ungrazed Grazed

Bravo 30 10 3 NA NA NA NA NA NA

25 8 0.59 0.97 0 0 0.012 -0.019

50 15 0.40 0.90 18 0 0.001 -0.037

75 22 0.31 0.85 30 0 -0.005 -0.043

90 27 0.28 0.82 30 0 -0.009 -0.046

100 30 0.26 0.80 30 0 -0.010 -0.047

Cutrale 78 10 8 0.59 0.97 0 0 0.018 -0.019

25 20 0.33 0.86 28 0 0.006 -0.041

50 39 0.22 0.75 57 0 -0.002 -0.049

75 58 0.18 0.67 78 0 -0.007 -0.052

90 70 0.16 0.63 78 0 -0.010 -0.053

100 78 0.15 0.60 78 0 -0.011 -0.054

DeltaOQ 109 10 11 0.63 0.98 0 0 0.003 -0.040

25 27 0.43 0.93 12 0 -0.008 -0.060

50 54 0.30 0.85 28 0 -0.014 -0.068

75 82 0.25 0.79 43 0 -0.018 -0.071

90 98 0.22 0.76 51 0 -0.020 -0.072

100 109 0.21 0.74 58 0 -0.021 -0.073

Echo 303 10 30 0.26 0.80 43 0 0.009 -0.046

25 76 0.15 0.61 113 0 0.002 -0.053

50 152 0.11 0.46 233.5 7 -0.004 -0.056

75 227 0.09 0.38 303 11 -0.009 -0.058

90 273 0.09 0.34 303 13 -0.011 -0.059

100 303 0.08 0.32 303 15 -0.012 -0.059

TLWMA 1250 10 125 0.28 0.97 22 0 -0.033 -0.113

25 312 0.16 0.90 53 0 -0.036 -0.117

50 625 0.10 0.80 107 0 -0.037 -0.119

75 938 0.08 0.73 159 0 -0.039 -0.121

90 1125 0.07 0.69 190 0 -0.039 -0.122

100 1250 0.07 0.67 213.5 0 -0.039 -0.122

KPPSP 1852 10 185 0.08 0.11 1852 176 0.034 -0.002

25 463 0.07 0.07 1852 445 0.021 -0.006

50 926 0.07 0.06 1852 908 0.010 -0.010

75 1389 0.07 0.06 1852 1327 0.002 -0.014

90 1667 0.07 0.06 1852 1614 -0.001 -0.015

100 1852 0.07 0.06 1852 1779 -0.003 -0.016

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