## Problem 214 — rank:309

**Title:** Household-to-community scaling

**Added binding assumptions (LaTeX):**

```latex
When household and fuller next-generation operators have different type spaces, specify a projection, aggregation or common comparison representation before using matrix perturbation bounds. Spectral-radius sensitivity depends on matrix structure and conditioning, not merely an elementwise error tolerance. The household types, early-phase independence and importation conventions must match across models; repeated contacts in overlapping groups cannot be counted as independent new households.
```

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