FA-65743 / Ecological population dynamics / Member archive
Discrete delayed logistic (Hutchinson) with lag: growth base · case 03
Recruitment tracks the lagged population instead of current breeders.
Case contract
hist[0]=N0; N[t+1] = max(0, N[t] + r*N[t]*(1 - N[t-lag]/K)) where values before time 0 equal N0; return [history rounded 4, overshoot max(0, max(history)-K) rounded 4].
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: daphnia with 2 step lag | [[10.0, 17.2, 24.4, 31.6, 42.9933, 57.7504, 75.0419, 94.6492, 114.1686], 14.1686] | [[10.0, 17.2, 29.584, 50.8845, 84.5904, 132.2425, 184.2037, 206.9118, 153.541], 106.9118] | Failed |
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