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Table 3 Table of four simulation tracks (Fig. 1 - see details of data sampling in text) and three segments of the kestrel flight data (Fig. 4) with estimates and 95% confidence intervals of parameters (time scale τ, random rms speed ν, advective speed components μ x and μ y and angular velocity ω). The model selection is based on comparing BIC values for the four models while the reported estimates are only for the selected model. The kestrel portions are numbers VI, VIII and XII - orange, dark blue, and yellow portions in Fig. 1

From: Correlated velocity models as a fundamental unit of animal movement: synthesis and applications

Data Parameter values Model Δ B I C
Simulation True values Estimates (C.I.)   
A τ=5 4.20 (2.65 - 6.03) UCVM 0
  η=3 2.19 (1.75 - 2.63) ACVM 2.00
    RCVM 1.99
    RACVM 4.00
B τ=5 6.3 (3.74 - 10.61) UCVM 1.01
  η=3 2.71 (2.02 - 3.41) ACVM 0
  μ x =2 1.91 (0.54 - 3.28) RCVM 2.17
  μ_y=0 0.08 (-1.29 - 1.46) RACVM 1.08
C τ=5 7.22 (3.39 - 15.35) UCVM 830
  η=3 2.85 (1.78 - 3.92) ACVM 834
  ω=2 2.04 (1.94 - 2.15) RCVM 0
    RACVM 4.79
D τ=5 9.22 (5.0-17.0) UCVM 1300
  η=3 3.30 (2.31 - 4.3) ACVM 1287
  μ x =2 1.99 (1.89 - 2.11) RCVM 629
  μ y =0 0.04 (-0.07 - 0.15) RACVM 0
  ω=2 2.02 (1.95 - 2.09)   
Kestrel Parameters (units)    
Segment VI \(\widehat {\tau }\) (sec) 29.1 (8.7-97.2) UCVM 0
(n=68) \(\widehat {\eta }\) (m/sec) 7.7 (3.1 - 8.7) ACVM 4.4
    RCVM 2.3
    RACVM 6.1
Segment VIII \(\widehat {\tau }\) 38.9 (8.8 - 172.3) UCVM 246
(n=69) \(\widehat {\eta }\) 7.61 (2.02 - 13.2) ACVM 253
  \(\widehat {\mu _{x}}\) (m/sec) 2.77 (2.24 - 3.31) RCVM 68.7
  \(\widehat {\mu _{y}}\) (m/sec) -0.87 (-1.41 - -0.33) RACVM 0
  \(\widehat {\omega }\) (rad/sec) 0.56 (0.52 - 0.60)   
Segment XII \(\widehat {\tau }\) 14.4 (5.3 - 38.6) UCVM 4.8
(n=31) \(\widehat {\eta }\) 4.04 (2.04 - 6.05) ACVM 0
  \(\widehat {\mu _{x}}\) -10.1 (-17.6 - -2.6) RCVM 8.0
  \(\widehat {\mu _{y}}\) -8.8 (-17.3 - -0.35) RACVM 6.8