These days I read in some article about behavior asymmetry coefficient that is calculated from parameters of open field test. However I didn't downloaded that paper. Now I can't find anything about that subject.
Ok - that sounds like what I first mentioned - still having trouble finding the paper but what they did was divide the frequency of entry to the inner zone by the total distance travelled. In your case, I suppose it would be:
Inner zone line crossings / total line crossings
I've yet to apply this to my own data so not really sure how useful it is. I have looked at correlations between distance, duration and frequency of visits to the inner zone, and rearing behaviour. As you can imagine, frequency and duration are strongly correlated, with some correlations between distance and frequency, and little with rearing, which seems more of an exploratory behaviour compared to the risk assessment/thigmotaxis of inner zone activity.
This model uses coefficients of variation (CV) as a measurment for spatial and temporal asymmetry in exploration levels (Initial activity vs activity after habituation; center vs periphery exploration). The relevant paper is attached
Nikola, it might help get consistent results if you can borrow a lux meter and see how strong the lighting is when you do the test - I use around 12lux, which is quite dim, but anywhere between 6-40lux is good for seeing differences in inner zone activity