Ecological Archives A21-065-A2

Carey R. McGilliard, André E. Punt, and Ray Hilborn. 2011. Spatial structure induced by marine reserves shapes population responses to catastrophes in mathematical models. Ecological Applications 21:1399–1409.

Appendix B. Non-catastrophic mortality, inter-simulation CV of catch and CPUE in year 100.

TABLE B1. Supplementary performance measures for a population that is initially overfished and in decline.  After an initial period of decline, an NTMR or TAC (producing equal population abundance after 100 time steps of simulation under deterministic conditions) was implemented and subsequently simulations were run for 100 time steps.

  Management
strategy
Temporal
autocorrelation
Non-catastrophic
mortality (b)
Inter-simulation
CV of catch
(year 100)
Inter-simulation
CV of CPUE
(year 100)
Perfect Implementation (CV = 0)  
Deterministic
Model
TAC only 0.00 0.10 N/A N/A
  NTMR only 0.00 0.10 N/A N/A
Global catastrophes
(scat = 50)
TAC only 0.00 0.04 0.25 0.25
  NTMR only 0.00 0.04 0.26 0.26
  TAC only 0.50 0.04 0.29 0.29
  NTMR only 0.50 0.04 0.29 0.29
Local catastrophes
(scat = 10)
TAC only 0.00 0.02 0.17 0.17
  NTMR only 0.00 0.02 0.22 0.22
  TAC only 0.50 0.03 0.21 0.20
  NTMR only 0.50 0.03 0.27 0.27
Error in the implementation of the TAC (CV = 0.5)  
Global catastrophes
(scat = 50)
TAC only 0.00 0.04 0.545 0.288
  NTMR only 0.00 0.04 0.290 0.249
  TAC only 0.50 0.04 0.574 0.330
  NTMR only 0.50 0.04 0.327 0.284
Local catastrophes
(scat = 10)
TAC only 0.00 0.02 0.526 0.226
  NTMR only 0.00 0.02 0.265 0.200
  TAC only 0.50 0.03 0.541 0.253
  NTMR only 0.50 0.03 0.308 0.239

TABLE B2. Supplementary Performance measures for simulations for a population that is initially at NMSY.  In time-step 1, an NTMR or TAC was implemented so that the catch after 100 time-steps of simulation was maximized in the absence of implementation uncertainty.

   Management
strategy
Temporal
autocorrelation
Non-catastrophic
mortality (b)
Inter-simulation
CV of catch
(year 100)
Inter-simulation
CV of CPUE
(year 100)
Perfect Implementation (CV = 0)      
Deterministic model TAC only 0.00 0.10 N/A N/A
   NTMR + TAC 0.00 0.10 N/A N/A
Global catastrophes
(scat = 50)
TAC only 0.00 0.04 0.240 0.239
  NTMR + TAC 0.00 0.04 0.243 0.217
  TAC only 0.50 0.04 0.282 0.280
  NTMR + TAC 0.50 0.04 0.285 0.249
Local catastrophes
(scat = 10)
TAC only 0.00 0.02 0.157 0.160
  NTMR + TAC 0.00 0.02 0.169 0.188
  TAC only 0.50 0.03 0.204 0.194
  NTMR + TAC 0.50 0.03 0.218 0.220
Error in the implementation of the TAC (CV = 0.5)      
Global catastrophes
(scat = 50)
TAC only 0.00 0.04 0.599 0.272
  NTMR + TAC 0.00 0.04 0.606 0.256
  TAC only 0.50 0.04 0.637 0.301
  NTMR + TAC 0.50 0.04 0.647 0.276
Local catastrophes
(scat = 10)
TAC only 0.00 0.02 0.556 0.195
  NTMR + TAC 0.00 0.02 0.560 0.221
  TAC only 0.50 0.03 0.581 0.226
  NTMR + TAC 0.50 0.03 0.593 0.252
 
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