Table 1. Summary of flight parameters.
| treatment | N.c. | CGE | CS | total | LMM (REML)-variance component analyses | |||||||||||
| mean | −95% C.I. | +95% C.I. | mean | −95% C.I. | +95% C.I. | mean | −95% C.I. | +95% C.I. | mean | −95% C.I. | +95% C.I. | total home vs. total lost | ||||
| home | F | d.d.f. (n.d.f. = 1) | p | |||||||||||||
| sample size | 25 | 28 | 30 | 83 | ||||||||||||
| track length [m]* | 249.00 | 201.40 | 307.90 | 250.10 | 205.50 | 304.30 | 225.40 | 186.60 | 272.30 | - | - | |||||
| homing time [s]* | 105.89 | 75.41 | 148.70 | 90.44 | 65.85 | 124.20 | 88.10 | 64.43 | 120.50 | - | - | |||||
| total flight time [s] | 101.05 | 73.87 | 138.20 | 84.38 | 63.77 | 111.70 | 87.49 | 65.55 | 116.80 | 90.70 | 73.59 | 111.78 | 12.27 | 89.8 | <0.01 | |
| continual flight time [s] | 36.50 | 25.99 | 51.22 | 32.28 | 23.49 | 44.36 | 28.47 | 21.12 | 38.36 | 32.24 | 26.82 | 38.76 | 8.48 | 51.3 | <0.01 | |
| mean stop time [s]** | 22.48 | 8.99 | 54.2 | 36.54 | 15.21 | 85.90 | 20.43 | 8.88 | 45.5 | 25.6 | 15.03 | 43.26 | 0.33 | 83.2 | 0.57 | |
| total stop time [s]** | 31.95 | 11.95 | 32.80 | 59.25 | 22.68 | 152.30 | 29.01 | 11.80 | 69.40 | 38.06 | 22.13 | 65.00 | 0.48 | 86.0 | 0.49 | |
| continual stop time [s] | 41.38 | 26.94 | 63.60 | 70.17 | 46.74 | 105.30 | 76.49 | 51.73 | 113.10 | 60.56 | 46.62 | 78.70 | 6.55 | 112.6 | 0.01 | |
| mean number of stops | 1.24 | 0.79 | 1.80 | 1.43 | 0.96 | 2.00 | 1.12 | 0.73 | 1.59 | 1.26 | 0.99 | 1.55 | 0.01 | 90.0 | 0.94 | |
| continual flight distance [m] | 72.78 | 47.23 | 112.20 | 70.89 | 47.33 | 106.20 | 51.62 | 35.34 | 75.40 | 64.34 | 50.90 | 81.32 | 8.42 | 48.7 | <0.01 | |
| mean flight speed [ms−1] | 2.98 | 2.55 | 3.42 | 3.42 | 3.02 | 3.83 | 3.18 | 2.78 | 3.57 | 3.19 | 2.86 | 3.53 | 0.16 | 89.6 | 0.69 | |
| max flight speed [ms−1] | 7.21 | 6.35 | 8.19 | 7.28 | 6.49 | 8.17 | 7.72 | 6.87 | 8.69 | 7.40 | 6.75 | 8.12 | 0.52 | 89.9 | 0.47 | |
| mean acceleration [ms−2] | 0.98 | 0.83 | 1.13 | 1.16 | 1.02 | 1.30 | 1.06 | 0.92 | 1.19 | 1.07 | 0.96 | 1.17 | 0.04 | 90.0 | 0.84 | |
| max acceleration [ms−2] | 3.22 | 2.75 | 3.76 | 3.40 | 2.96 | 3.91 | 3.68 | 3.18 | 4.26 | 2.56 | 1.96 | 3.38 | 1.00 | 86.6 | 0.32 | |
| approachiness | 0.37 | 0.29 | 0.46 | 0.40 | 0.33 | 0.48 | 0.43 | 0.36 | 0.50 | 0.40 | 0.35 | 0.45 | 39.82 | 89.5 | <0.001 | |
| track straightness* | 0.52 | 0.43 | 0.62 | 0.55 | 0.47 | 0.65 | 0.59 | 0.51 | 0.68 | 0.55 | 0.50 | 0.61 | - | |||
| non-returning | ||||||||||||||||
| sample size | 8 | 2 | 3 | 13 | ||||||||||||
| track length [m]* | - | - | - | - | ||||||||||||
| homing time [s]* | - | - | - | - | ||||||||||||
| total flight time [s] | 47.47 | 28.85 | 78.10 | 9.82 | 3.76 | 25.70 | 131.68 | 49.94 | 347.20 | 39.45 | 24.05 | 64.72 | ||||
| continual flight time [s] | 13.68 | 8.06 | 23.23 | 27.81 | 12.90 | 59.94 | 9.64 | 1.91 | 48.58 | 15.42 | 8.28 | 28.74 | ||||
| mean stop time [s]** | 52.41 | 11.35 | 230.00 | 64.72 | 2.60 | 1199.90 | 5.46 | −0.65 | 116.80 | 27.30 | 5.56 | 121.03 | ||||
| total stop time [s]** | 107.61 | 19.85 | 564.80 | 83.81 | 2.12 | 2300.70 | 6.07 | −0.74 | 190.90 | 39.23 | 6.72 | 280.60 | ||||
| continual stop time [s] | 120.42 | 61.01 | 237.70 | 116.18 | 48.46 | 278.50 | 44.50 | 3.56 | 556.80 | 85.38 | 33.78 | 215.8 | ||||
| mean number of stops | 1.59 | 0.74 | 2.86 | 1.45 | 0.11 | 4.42 | 0.41 | −0.36 | 2.13 | 1.08 | 0.39 | 2.09 | ||||
| continual flight distance [m] | 23.48 | 12.02 | 45.90 | 37.41 | 14.38 | 97.30 | 37.63 | 4.65 | 304.40 | 32.09 | 14.45 | 71.30 | ||||
| mean flight speed [ms−1] | 3.14 | 2.51 | 3.76 | 2.54 | 1.35 | 3.73 | 3.01 | 1.86 | 4.16 | 2.90 | 2.27 | 3.52 | ||||
| max flight speed [ms−1] | 7.87 | 6.50 | 9.53 | 5.31 | 3.71 | 7.60 | 5.82 | 4.04 | 8.40 | 6.24 | 5.17 | 7.55 | ||||
| mean acceleration [ms−2] | 1.07 | 0.84 | 1.30 | 0.79 | 0.34 | 1.24 | 1.05 | 0.61 | 1.49 | 0.97 | 0.74 | 1.20 | ||||
| max acceleration [ms−2] | 3.56 | 2.72 | 4.66 | 2.13 | 1.25 | 3.64 | 2.23 | 1.30 | 3.80 | 3.43 | 3.13 | 3.75 | ||||
| approachiness | −0.16 | −0.29 | −0.03 | 0.20 | −0.05 | 0.46 | 0.40 | 0.15 | 0.66 | 0.15 | 0.02 | 0.28 | ||||
| total | total N.c. vs. total C GE vs. total CS | |||||||||||||||
| sample size | 33 | 30 | 33 | F | d.d.f. (n.d.f. = 2) | p | ||||||||||
| track length [m]* | 249.00 | 201.40 | 307.90 | 250.10 | 205.50 | 304.30 | 225.40 | 186.60 | 272.30 | 0.30 | 77.7 | 0.74* | ||||
| homing time [s]* | 105.89 | 75.41 | 148.70 | 90.44 | 65.85 | 124.20 | 88.10 | 64.43 | 120.50 | 0.28 | 76.4 | 0.75* | ||||
| total flight time [s] | 69.26 | 50.85 | 94.30 | 28.79 | 17.30 | 47.90 | 107.34 | 64.37 | 179.00 | 0.73 | 85.0 | 0.48 | ||||
| continual flight time [s] | 22.34 | 16.32 | 30.59 | 29.96 | 19.77 | 45.40 | 16.57 | 7.28 | 37.70 | 0.30 | 70.1 | 0.75 | ||||
| mean stop time [s]** | 34.41 | 14.02 | 82.50 | 48.67 | 9.90 | 225.30 | 10.77 | 1.60 | 52.20 | 0.36 | 83.2 | 0.55 | ||||
| total stop time [s]** | 58.82 | 22.18 | 153.40 | 70.48 | 11.86 | 396.30 | 13.57 | 1.65 | 79.10 | 0.87 | 86.0 | 0.42 | ||||
| continual stop time [s] | 70.59 | 46.78 | 106.50 | 90.29 | 55.41 | 147.10 | 58.34 | 16.20 | 210.10 | 1.08 | 147.1 | 0.34 | ||||
| mean number of stops | 1.41 | 0.92 | 2.03 | 1.44 | 0.62 | 2.68 | 0.73 | 0.15 | 1.60 | 0.69 | 90.0 | 0.50 | ||||
| continual flight distance [m] | 41.34 | 27.75 | 61.58 | 51.50 | 30.65 | 86.54 | 44.07 | 15.23 | 127.51 | 0.45 | 68.6 | 0.64 | ||||
| mean flight speed [ms−1] | 3.06 | 2.63 | 3.49 | 2.98 | 2.34 | 3.63 | 3.09 | 2.45 | 3.73 | 0.68 | 89.6 | 0.41 | ||||
| max flight speed [ms−1] | 7.53 | 6.65 | 8.53 | 6.22 | 5.12 | 7.56 | 6.71 | 5.51 | 8.16 | 0.49 | 89.9 | 0.49 | ||||
| mean acceleration [ms−2] | 1.02 | 0.88 | 1.17 | 0.97 | 0.74 | 1.21 | 1.05 | 0.82 | 1.30 | 1.35 | 85.3 | 0.27 | ||||
| max acceleration [ms−2] | 3.39 | 2.89 | 3.96 | 2.69 | 2.04 | 3.54 | 2.86 | 2.17 | 3.78 | 0.38 | 88.2 | 0.68 | ||||
| approachiness | 0.11 | 0.03 | 0.19 | 0.30 | 0.17 | 0.44 | 0.42 | 0.28 | 0.55 | 9.98 | 86.3 | 0.001 | ||||
| track straightness* | 0.52 | 0.43 | 0.62 | 0.55 | 0.47 | 0.65 | 0.59 | 0.51 | 0.68 | 0.60 | 77.1 | 0.55* | ||||
Table of sample sizes, predicted means and 95% confidence intervals (C.I.) of the analysed flight characteristics, and statistics for homed bees, non-returning bees and the total dataset. Parameters were compared using linear mixed models (LMM) fitted by restricted maximum likelihood (REML), with a crossed fixed model (treatment × homing success) and a nested random model (tracking day × bee). Denominator degrees of freedom (d.d.f.) are reported individually whereas the test-wide unvaried nominator degree of freedom (n.d.f.) is given in the heading. Parameters marked with an asterisk (*) were only for successfully homed bees (see also Table S1). Parameters marked with two asterisks (**) were assessed excluding composite tracks (n = 3) consisting of two sub-tracks recorded over a long period of time i.e. putative non-returning bees re-emerging on the radar screen after a long period of discontinuous radar-tracking (tracking of other bees interspersed with non-tracking times while bees were prepared and displaced), characterized by one very long putative stop separating the two track-components.