Fig. 2

Toy example. For illustrative purposes, we assume the spatio-temporal pattern occurs at 5 spatio-temporal locations. In the first time slot, the events occur three times (\(t_1,t_2,t_3\) depicted in black) and in the second time slot they occur two times (\(t_4,t_5\) depicted in red). The arrows are oriented according to the time-order of events inside each time slot. For each time slot and each distance, spatial motifs are counted. Links generated with the first distance, \(D_1\), are in black and links generated with the second distance, \(D_2\), are in blue. On the right side, we show the vector time series of motif counts for each case. Note that for each distance there is a time series of these vectors. Also, for each time point there is a sequence of vectors that depends on the set of distances. Finally, we show by extension the set of links for each spatial motif for the case \(t'=2,D_2\)