FA-65587 / Ecological population dynamics / Member archive
Levins metapopulation with habitat destruction: extinction ratio · case 02
Equilibrium occupancy falls as colonisation improves.
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: butterfly network | [0.0, [0.125, 0.154687, 0.18913, 0.227984, 0.27039, 0.314952]] | [0.6, [0.125, 0.154687, 0.18913, 0.227984, 0.27039, 0.314952]] | Failed |
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