FA-65595 / Ecological population dynamics / Member archive

Levins metapopulation with habitat destruction: occupancy ceiling · case 05

Occupancy exceeds the fraction of habitat that still exists.

Member previewVariant 5 · 3 implementations · 7 checks per implementation

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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: overshoot clamp	`[0.68, [0.72, 0.648, 0.69984]]`	`[0.68, [0.7, 0.665, 0.689937]]`	Failed

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