Create experiments plan file

Based on our meeting today, these are the experiments which will be completed

Author: StormKoper

docs/experiments.md

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+# Metrics and measures
+This is what should be measured each run. These runs can then be further aggregated for final metrics.
+### Fixed parameter runs
+- Population count (mean and std after warmup)
+- Cluster size distribution (means and stds after warmup)
+### Evolution runs
+- Population count (over time after warmup)
+- Cluster size distribution (over time after warmup)
+- Prey death rate (mean and std over time after warmup)
+# Experiments
+These phases should be completed sequentially, deepening our understanding at each step. The different experiments in each phase should be completed with data from the same runs.
+### Phase 1: finding the critical point
+- Create bifurcation diagram of mean population count, varying prey death rate
+	- Look for critical transition
+- Create log-log plot of cluster size distribution, varying prey death rate
+	- Look for power-law
+### Phase 2: sensitivity analysis
+- Show correlation between critical prey death rate and post-evolution prey death rate, varying other parameters
+	- Look for self-organized criticality: an SOC-system should move towards the critical point regardless of other parameters
+- Show sensitivity of hydra effect varying other parameters
+### Phase 3: perturbation analysis
+- Create autocorrelation plot of mean population count, following perturbations around the critical point
+	- Look for critical slowing down: perturbations to states closer to the critical point should more slowly return to the steady state
+### Phase 4: model extensions
+- Investigate whether hydra effect and SOC still occur with diffusion and directed movement