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Fig. 1 | Movement Ecology

Fig. 1

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

Fig. 1

Four sample trajectories (left panels) and corresponding velocity auto-covariance functions (right panels) of CVM movement models. In all trajectories, the characteristic time scale τ=5, the random mean squared speed η=3 and the sampling intervals are 0.01. Start and end of each trajectory is represented with filled circles and x’s, respectively. Regions of darker and lighter grey within the track indicate locations where the speed is slower or faster. In panel a, the mean velocity and rotation are equal to 0, in panels b and d, there is a mean component of velocity μ x =2, and in panels c and d there is a rotational component ω=2. In the right panels, black lines are the empirical estimates of the velocity auto-covariance function (EVAF), the red dashed line is the theoretical prediction (Equation A15), and the horizontal dashed grey line is the predicted asymptote |μ 2|, reflecting the advective term in the process

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