Table 4. Summary estimates of when the true population size N = 500 and J = 128 traps, under each of the three trap arrangements: regular, clustered, and sequential, where mean, standard deviation (SD), range, root mean squared error (RMSE), and mean normalized bias (MNB) are given for each scenario (p x σ x configuration).
| σ = 1 km | σ = 5 km | σ = 10 km | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| p0 = 0.20 | Mean | SD | Min | Max | RMSE | MNB | Mean | SD | Min | Max | RMSE | MNB | Mean | SD | Min | Max | RMSE | MNB |
| Regular | 1.00 | 0.07 | 0.80 | 1.22 | 0.07 | 0.35 | 5.00 | 0.04 | 4.89 | 5.16 | 0.04 | -0.04 | 9.99 | 0.06 | 9.84 | 10.17 | 0.06 | -0.06 |
| Clustered | 1.00 | 0.07 | 0.81 | 1.27 | 0.07 | 0.02 | 5.00 | 0.04 | 4.85 | 5.11 | 0.04 | -0.07 | 10.00 | 0.05 | 9.81 | 10.16 | 0.05 | -0.03 |
| Sequential | 1.00 | 0.08 | 0.76 | 1.25 | 0.08 | -0.17 | 5.00 | 0.04 | 4.87 | 5.13 | 0.04 | -0.02 | 10.00 | 0.05 | 9.84 | 10.17 | 0.05 | 0.01 |
| p 0 = 0.10 | ||||||||||||||||||
| Regular | 1.00 | 0.13 | 0.57 | 1.41 | 0.13 | 0.12 | 5.00 | 0.06 | 4.86 | 5.31 | 0.06 | 0.02 | 9.99 | 0.08 | 9.74 | 10.24 | 0.08 | -0.07 |
| Clustered | 1.01 | 0.14 | 0.63 | 1.52 | 0.15 | 1.22 | 5.00 | 0.07 | 4.77 | 5.22 | 0.07 | -0.06 | 10.00 | 0.08 | 9.74 | 10.21 | 0.08 | 0.00 |
| Sequential | 0.99 | 0.14 | 0.67 | 1.45 | 0.14 | -0.81 | 5.00 | 0.07 | 4.83 | 5.20 | 0.07 | -0.02 | 10.00 | 0.07 | 9.80 | 10.26 | 0.07 | 0.03 |
| p 0 = 0.05 | ||||||||||||||||||
| Regular | 0.97 | 0.24 | 0.38 | 1.89 | 0.24 | -3.30 | 5.00 | 0.10 | 4.73 | 5.34 | 0.10 | 0.00 | 10.00 | 0.00 | 9.68 | 10.40 | 0.11 | -0.03 |
| Clustered | 1.06 | 0.28 | 0.59 | 1.98 | 0.28 | 5.91 | 4.99 | 0.10 | 4.66 | 5.47 | 0.10 | 0.02 | 10.00 | -0.15 | 9.58 | 10.33 | 0.11 | -0.03 |
| Sequential | 1.01 | 0.24 | 0.55 | 2.44 | 0.24 | -0.10 | 5.00 | 0.10 | 4.68 | 0.62 | 0.10 | 0.00 | 10.00 | -0.04 | 9.67 | 10.44 | 0.11 | 0.02 |
<500 iterations were used for the italicized estimates, due to the instability of MLE with sparse datasets.
At p0 = 0.05 and σ = 1 km, 496, 498, and 493 iterations were used for the Regular, Clustered, and Sequential configurations, respectively. (4, 2, and 7 iterations were discarded).