Table 5 Mean relative bias for 10, 25, 50 and 100 samples/simulation for each density estimator for each spatial pattern (see Table 3)
| Â | Sample size | Sample size | ||||||
|---|---|---|---|---|---|---|---|---|
| Â | RBIAS | Rank | ||||||
Estimator | 10 | 25 | 50 | 100 | 10 | 25 | 50 | 100 |
| Â | Uniform (n = 5) | |||||||
AO2Q | 0.222 | 0.225 | 0.225 | 0.225 | 8 | 8 | 8 | 8 |
AO3Q | 0.205 | 0.207 | 0.207 | 0.207 | 7 | 7 | 7 | 7 |
BDAV3 | -0.095 | -0.136 | -0.147 | -0.154 | 4 | 4 | 5 | 6 |
KM2P | -0.136 | -0.145 | -0.148 | -0.150 | 6 | 6 | 6 | 5 |
KMP | -0.130 | -0.141 | -0.145 | -0.148 | 5 | 5 | 4 | 4 |
OD2C | -0.051 | -0.077 | -0.091 | -0.097 | 1 | 1 | 2 | 2 |
OD3C | -0.070 | -0.091 | -0.101 | -0.106 | 2 | 3 | 3 | 3 |
VAT | -0.074 | -0.080 | -0.081 | -0.083 | 3 | 2 | 1 | 1 |
| Â | Poisson (n = 2) | |||||||
AO2Q | 0.324 | 0.324 | 0.326 | 0.325 | 8 | 8 | 8 | 8 |
AO3Q | 0.295 | 0.295 | 0.296 | 0.296 | 7 | 7 | 7 | 7 |
BDAV3 | 0.073 | 0.014 | -0.002 | -0.009 | 6 | 2 | 2 | 2 |
KM2P | -0.037 | -0.050 | -0.052 | -0.052 | 3 | 4 | 4 | 3 |
KMP | -0.070 | -0.089 | -0.092 | -0.094 | 5 | 6 | 6 | 6 |
OD2C | -0.045 | -0.065 | -0.070 | -0.071 | 4 | 5 | 5 | 5 |
OD3C | -0.031 | -0.047 | -0.051 | -0.052 | 2 | 3 | 3 | 4 |
VAT | 0.019 | 0.005 | 0.000 | -0.003 | 1 | 1 | 1 | 1 |
| Â | Clumped (n = 10) | |||||||
AO2Q | -0.079 | -0.082 | -0.081 | -0.080 | 2 | 3 | 3 | 3 |
AO3Q | -0.063 | -0.065 | -0.065 | -0.064 | 1 | 2 | 2 | 2 |
BDAV3 | 0.080 | -0.008 | -0.036 | -0.049 | 3 | 1 | 1 | 1 |
KM2P | -0.319 | -0.325 | -0.333 | -0.337 | 4 | 4 | 4 | 4 |
KMP | -0.350 | -0.377 | -0.386 | -0.391 | 5 | 5 | 5 | 5 |
OD2C | -0.410 | -0.435 | -0.444 | -0.447 | 8 | 8 | 8 | 8 |
OD3C | -0.376 | -0.399 | -0.407 | -0.410 | 7 | 7 | 7 | 7 |
VAT | -0.365 | -0.387 | -0.393 | -0.396 | 6 | 6 | 6 | 6 |
| Â | All (n = 17) | |||||||
AO2Q | 0.055 | 0.054 | 0.055 | 0.055 | 2 | 2 | 1 | 1 |
AO3Q | 0.056 | 0.056 | 0.056 | 0.056 | 3 | 3 | 2 | 2 |
BDAV3 | 0.033 | -0.039 | -0.061 | -0.072 | 1 | 1 | 3 | 3 |
KM2P | -0.227 | -0.241 | -0.246 | -0.249 | 4 | 4 | 4 | 4 |
KMP | -0.254 | -0.276 | -0.282 | -0.286 | 7 | 7 | 7 | 7 |
OD2C | -0.266 | -0.290 | -0.300 | -0.304 | 8 | 8 | 8 | 8 |
OD3C | -0.248 | -0.270 | -0.278 | -0.281 | 6 | 6 | 6 | 6 |
VAT | -0.236 | -0.253 | -0.257 | -0.260 | 5 | 5 | 5 | 5 |