## Problem 177 — rank:93

**Title:** Coalescent theory with realistic spatial structure

**Added binding assumptions (LaTeX):**

```latex
Give the complete multi-lineage transition mechanism, including simultaneous mergers if reproduction events can affect several sampled lineages. Pairwise coalescence rates alone need not determine its forward dual. Bound or truncate time and haplotype summaries before placing them in a test-function class bounded by one. State discretization, sample-size and recombination dependence of both computational cost and approximation error.
```

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

