FA-65599 / Ecological population dynamics / Member archive
Levins metapopulation with habitat destruction: extinction flow · case 04
Extinctions happen in empty patches.
Case contract
Occupancy p: p += c*p*(1-D-p) - e*p each year, clamped to [0, 1-D]; equilibrium max(0, 1-D-e/c); return [equilibrium rounded 6, trajectory rounded 6]; None for c<=0, e<0 or D outside [0,1).
Why this case matters
Population projections set harvest quotas, conservation status and pest-control timing; a wrong update order, boundary or rate conversion silently changes management advice.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: intact habitat | [0.75, [0.0, 0.0, 0.0, 0.0, 0.0]] | [0.75, [0.064, 0.081562, 0.103369, 0.130106, 0.162367]] | Failed |
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