@@ -16,18 +16,22 @@ These phases should be completed sequentially, deepening our understanding at ea
1616 - Look for critical transition
1717- Create log-log plot of cluster size distribution, varying prey death rate
1818 - Look for power-law
19- ### Phase 2: finite-size scaling
19+ ### Phase 2: self-organization
20+ - Measure final prey death rate after evolution
21+ - Look for self-organized criticality: an SOC-system should move towards the critical point
22+ ### Phase 3: finite-size scaling
2023- Sweep of grid sizes at critical point
2124 - Check for power-law cut-offs
22- ### Phase 3: sensitivity analysis
23- - Show correlation between critical prey death rate and post-evolution prey death rate, varying other parameters
24- - Look for self-organized criticality: an SOC-system should move towards the critical point regardless of other parameters
25+ ### Phase 4: sensitivity analysis
2526- Show sensitivity of hydra effect varying other parameters
26- ### Phase 4: perturbation analysis
27+ - Investigate the ubiquity of the critical point across parameter regimes
28+ - Show correlation between critical prey death rate and post-evolution prey death rate, varying other parameters
29+ - Again look for self-organized criticality: an SOC-system should move towards the critical point regardless of other parameters
30+ ### Phase 5: perturbation analysis
2731- Create autocorrelation plot of mean population count, following perturbations around the critical point
2832 - Look for critical slowing down: perturbations to states closer to the critical point should more slowly return to the steady state
2933 - This requires time series data
30- ### Phase 5 : model extensions
34+ ### Phase 6 : model extensions
3135- Investigate whether hydra effect and SOC still occur with diffusion and directed movement
3236
3337# Todo
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