## Problem 325 — rank:206

**Title:** Evolution of metamorphosis

**Added binding assumptions (LaTeX):**

```latex
Fix identical demographic normalization and environmental inputs across both strategy subclasses. Optimize only over nonempty feasible sets and report extinction when all strategies have zero spectral radius. Comparing the best strategies establishes an attainable growth advantage, not evolutionary accessibility or historical origin of metamorphosis. Under density-dependent competition, invasion must be evaluated in a shared resident resource state rather than comparing isolated absolute growth rates.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.