## Problem 145 — rank:149

**Title:** Maintenance of recombination

**Added binding assumptions (LaTeX):**

```latex
All perturbed recombination fractions remain in $[0,1/2]$, with a consistent multilocus meiosis model when several intervals change together. Normalize rare-modifier growth against resident growth and specify linkage, initial association and environmental law. A positive invasion exponent is not itself a finite-population fixation probability. Boundary modifiers require one-sided derivatives rather than an inadmissible perturbation outside the parameter space.
```

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

