Table 3.
Model comparison and reduction assessed by the AIC and BIC for the family of inverse Batschelet circular distributions, and maximum-likelihood estimates of the parameters of the corresponding reduced distributions
| Species | Location | Model | AIC | BIC | ξ | Κ | ν | λ |
|---|---|---|---|---|---|---|---|---|
| A. gambiae | Indoors | von Mises | 10926.462 | 10938.583 | 0.494 | 0.704 | 0.000 | 0.000 |
| Symmetric | 10819.187 | 10837.368 | 0.389 | 0.795 | 0.000 | 0.668 | ||
| Skew-von Mises | 10815.291 | 10833.472 | 1.596 | 0.763 | 0.776 | 0.000 | ||
| Full family | 10762.609 | 10786.852 | 1.447 | 0.798 | 0.639 | 0.493 | ||
| A. gambiae | Outdoors | von Mises | 4500.969 | 4512.191 | 0.203 | 2.511 | 0.000 | 0.000 |
| Symmetric | 4467.363 | 4484.195 | 0.197 | 3.077 | 0.000 | −0.237 | ||
| Skew-von Mises | 4500.688 | 4517.521 | 0.095 | 2.514 | −0.074 | 0.000 | ||
| Full family | 4466.847 | 4489.291 | 0.090 | 3.076 | −0.078 | −0.236 | ||
| A. coluzzii | Indoors | von Mises | 2128.405 | 2137.196 | 0.256 | 0.521 | 0.000 | 0.000 |
| Symmetric | 2084.585 | 2097.771 | 0.230 | 0.811 | 0.000 | 1.000 | ||
| Skew-von Mises | 2094.456 | 2107.641 | 1.774 | 0.638 | 1.000 | 0.000 | ||
| Full family | 2080.217 | 2097.798 | 1.394 | 0.816 | 0.633 | 1.000 | ||
| A. coluzzii | Outdoors | von Mises | 977.193 | 985.062 | 0.181 | 1.937 | 0.000 | 0.000 |
| Symmetric | 973.132 | 984.937 | 0.172 | 1.803 | 0.000 | 0.233 | ||
| Skew-von Mises | 975.039 | 986.844 | 0.523 | 1.953 | 0.227 | 0.000 | ||
| Full family | 972.416 | 988.156 | 0.482 | 1.830 | 0.195 | 0.199 | ||
| A. funestus | Indoors | von Mises | 1889.123 | 1897.710 | 0.734 | 0.642 | 0.000 | 0.000 |
| Symmetric | 1877.299 | 1890.179 | 0.619 | 0.717 | 0.000 | 0.614 | ||
| Skew-von Mises | 1867.706 | 1880.586 | 1.977 | 0.717 | 1.000 | 0.000 | ||
| Full family | 1866.160 | 1883.334 | 1.680 | 0.729 | 0.694 | 0.350 | ||
| A. funestus | Outdoors | von Mises | 505.844 | 512.557 | 0.165 | 2.264 | 0.000 | 0.000 |
| Symmetric | 507.109 | 517.178 | 0.164 | 2.406 | 0.000 | −0.098 | ||
| Skew-von Mises | 507.839 | 517.909 | 0.150 | 2.264 | −0.010 | 0.000 | ||
| Full family | 509.106 | 522.533 | 0.153 | 2.406 | −0.007 | −0.098 | ||
| A. pharoensis | Indoors | von Mises | 1083.893 | 1091.533 | −1.130 | 1.070 | 0.000 | 0.000 |
| Symmetric | 1033.532 | 1044.992 | −1.162 | 1.361 | 0.000 | 1.000 | ||
| Skew-von Mises | 1084.185 | 1095.645 | −0.831 | 1.077 | 0.185 | 0.000 | ||
| Full family | 1037.293 | 1052.573 | 0.240 | 1.354 | 0.792 | 1.000 | ||
| A. pharoensis | Outdoors | von Mises | 913.813 | 922.010 | −0.965 | 2.872 | 0.000 | 0.000 |
| Symmetric | 905.687 | 917.981 | −1.076 | 2.415 | 0.000 | 0.304 | ||
| Skew-von Mises | 804.238 | 816.532 | 0.804 | 3.476 | 1.000 | 0.000 | ||
| Full family | 769.283 | 785.676 | 0.704 | 2.580 | 1.000 | 0.499 |
ξ: location parameter; κ: concentration parameter; ν: skewness parameter; λ: peakedness parameter. The lowest AIC and BIC for each combination of species/location is highlighted in boldface.