#40 · Systems biology

Early-warning correlations, cooperation thresholds and penetrance-adaptability trade-offs

The three preprints share a concern with how the structure of a system, rather than its aggregate behavior, constrains what can be inferred or achieved. One shows that soft modes near ecological criticality need not dominate fluctuations, so pairwise correlations can fail as early-warning signals. Another analyzes cooperation on a finite periodic phenotype space, deriving a benefit-cost threshold with nonmonotone effects of phenotype mutation. The third reconstructs the full genotype-phenotype map with a spin model and identifies a trade-off between penetrance and mutational adaptability across environments. The link among these is thematic rather than mechanistic: each examines a constraint imposed by state-space geometry. What is new is the explicit demonstration that standard correlation diagnostics can mislead near criticality, alongside quantified thresholds and trade-offs in phenotype-structured models.