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. 2018 Apr 30;165(5):95. doi: 10.1007/s00227-018-3346-7

Table 3.

Model averaging results for each of the six movement models that included bathymetry, but not distance to coast, slope, and sea-surface temperature due to collinearity

Movement model Parameter name Beta 95% CI w+(j) Mean R2
Lower, upper (min, max)
Speed (m s−1) (Intercept) − 0.223 − 0.239, − 0.207 NA 0.29
Bathymetry 0.051 0.034, 0.068 1 (0.12, 0.32)
Sea-surface salinity − 0.070 − 0.084, − 0.055 1
Sea-surface height 0.010 − 0.255, 0.274 0.16
Sea-surface height2 − 0.041 − 0.353, 0.270
Sea-surface velocity 0.010 − 0.008, 0.028 0.68
Hour of the day − 0.589 − 1.309, 0.131 0.84
Hour of the day2 − 0.332 − 0.959, 0.295
Turning angle (°) (Intercept) 44.61 42.5, 46.9 NA 0.08
Bathymetry − 1.87 − 4.82, 1.09 0.75 (0.02, 0.09)
Sea-surface salinity 5.42 3.31, 7.52 1
Sea-surface height − 3.31 − 27.1, 20.4 0.14
Sea-surface height2 − 2.41 − 23.1, 18.3
Sea-surface velocity − 0.294 − 1.986, 1.398 0.32
Hour of the day − 52.76 − 129.7, 24.2 0.86
Hour of the day2 − 53.78 − 136.1, 28.5
Dive duration (s) (Intercept) 1.672 1.648, 1.696 NA 0.31
Bathymetry 0.045 0.015, 0.075 0.97 (0.14, 0.36)
Sea-surface salinity 0.055 0.030, 0.078 1
Sea-surface height − 0.483 − 1.187, 0.221 0.53
Sea-surface height2 0.456 − 0.210, 1.122
Sea-surface velocity 0.014 − 0.010, 0.038 0.42
Hour of the day 0.447 − 0.249, 1.144 0.26
Hour of the day2 0.271 − 0.486, 1.027
Dive depth (m) (Intercept) 1.096 1.069, 1.121 NA
Bathymetry 0.156 0.122, 0.189 1
Sea-surface salinity 0.014 − 0.010, 0.038 0.6
Sea-surface height 0.063 − 0.304, 0.4313 0.29
Sea-surface height2 0.121 − 0.346, 0.588
Sea-surface velocity − 0.011 − 0.034, 0.012 0.6
Hour of the day 0.010 − 0.235, 0.256 0.17
Hour of the day2 -0.050 − 0.390, 0.289
Dive wiggliness (m) (Intercept) 0.882 0.845, 0.918 NA 0.25
Bathymetry 0.226 0.184, 0.266 1 (0.11, 0.29)
Sea-surface salinity 0.056 0.011, 0.110 0.96
Sea-surface height 0.298 − 1.002, 1.599 0.78
Sea-surface height2 − 1.688 − 2.991, 0.385
Sea-surface velocity 0.045 − 0.006, 0.095 0.78
Hour of the day 1.250 0.018, 2.481 0.56
Hour of the day2 0.533 − 0.728, 1.795
Post-dive duration (s) (Intercept) 1.546 1.513, 1.577 NA 0.23
Bathymetry − 0.001 − 0.023, 0.021 0.27 (0.11, 0.27)
Sea-surface salinity 0.092 0.056, 0.128 1
Sea-surface height − 0.217 − 1.037, 0.602 0.58
Sea-surface height2 0.528 − 0.624, 1.680
Sea-surface velocity − 0.009 − 0.037, 0.020 0.43
Hour of the day 0.149 − 0.567, 0.864 0.23
Hour of the day2 0.019 − 0.481, 0.519

Regression coefficients (Beta) and 95% CI are model-averaged estimates of each environmental variable calculated over the candidate model set. The relative variable importance (w+(j)) is the sum of the Akaike’s weights across all possible models where variable j occurred. The w+(j) is provided for all covariates and those in bold indicate that the 95% CI does not overlap with 0. The mean (min, max) generalized R2 value is provided and calculated from the full set of candidate models. Note that the environmental variables “Sea-surface height” and “Hour of the day” were fitted as second order polynomials, and therefore, two regression coefficients (Beta) and 95% CIs are provided but only one w+(j)