TT-$\delta$ Plot (Spatial Distance)

The first type of TT-plot introduced here is the TT-$\delta$ plot. It describes intra-dataset distances, i.e. the distance between two locations of an animal at two different times. The general procedure of how to create this plot is outlined above. The Z value is calculated as the Euclidian distance between two locations, where the formula for the TT-$\delta$ plot can be written as:

$$Z_{TT-\delta} = \sqrt{(x_{P_{t_1}} - x_{P_{t_2}})^2+(y_{P_{t_1}} - y_{P_{t_2}})^2}$$ (5.2)

$Z_{TT-\delta}$ = Distance between locations at time-points t₁ and t₂
x_Ptx = x coordinate of object at time-point t_x
y_Ptx = y coordinate of object at time-point t_x