FA-65364 / Ecological population dynamics / Member archive

Ricker map trajectory and dynamic regime: superstable boundary · case 04

The superstable case r=1 is labelled damped oscillation.

Member previewVariant 4 · 3 implementations · 7 checks per implementation

Case contract

Regime by r: r<0 decline, r==0 neutral, 0<r<=1 monotone, 1<r<2 damped, 2<=r<2.526 cycle2, else complex; trajectory N[t+1]=N*exp(r*(1-N/K)) rounded 4; None for K<=0 or N0<0.

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: superstable r one	`["damped", [222.5541, 387.6342, 485.3128, 499.78, 500.0]]`	`["monotone", [222.5541, 387.6342, 485.3128, 499.78, 500.0]]`	Failed

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