Interpretation Catalogue for TT- Plots

As we are more used to think in terms of distances than in terms of parallelity patterns, the following start of an interpretation catalogue is limited to the basic forms.

The first catalogue entry (table 5.7a) looks like the first entry in the TT- $\delta$ plot section, although the meaning is quite different. Here the animal is walking continuously along a straight line. When an animal is walking on a path parallel to one used previously the pattern in table 5.7b occurs in the TT- $\pi$ plot. A blue line at an angle of 90 $^\circ$ to the base diagonal line can indicate a more complicated fact. The animal first uses a certain path. Then it uses a path which describes the mirrored shape of the original path used the first time, where the mirroring was done across a line. This is the general interpretation of this pattern. A special case is the inversion of the direction. A simple example would be a circle shape which is used at a different location a later time as the travel path, but this time in the opposite direction (e.g. clockwise and then counterclockwise). The pattern shown in table 5.7d represents an animal which is using the opposite direction used before. (Note: This does not mean that it is walking on a straight line). The last pattern shown in table 5.7e is comparable to the situation in table 5.7c, where the following is true, but now for an anti-parallel walking direction: the further the animal goes, the longer the time has passed since the animal was using the opposite direction to the current one. This pattern can also occur when the direction is inverted.

**Table 5.7:** Basic interpretation catalogue for TT- $\pi$ plots. Blue indicates parallel, red anti-parallel.
$\includegraphics[scale=0.3, trim=0 0 0 -13]{images/ttd_cat1.eps}$	a. The animal is walking a straight line.
$\includegraphics[scale=0.3, trim=0 0 0 -13]{images/ttd_cat3.eps}$	b. The animal is walking parallel to a path used earlier.
$\includegraphics[scale=0.3, trim=0 0 0 -13]{images/ttd_cat2.eps}$	c. The animal walks along a path which is (in terms of parallelity) mirrored at a line.
$\includegraphics[scale=0.3, trim=0 0 0 -13]{images/ttp_cat4.eps}$	d. The animal walks anti-parallel to a path used earlier.
$\includegraphics[scale=0.3, trim=0 0 0 -13]{images/ttp_cat5.eps}$	e. The animal walks anti-parallel to a path used earlier in the opposite direction.