Abstract: During the attempt line up into a dense traffic people have necessarily to share a limited space under turbulent conditions. From the statistical point view it generally leads to a probability distribution of distances between the traffic objects (cars or pedestrians). But the problem is not restricted on humans. It comes up again when we try to describe the statistics of distances between perching birds or moving sheep herd. Our aim is to demonstrate that the spacing distribution is generic and independent on the nature of the object considered. We show that this fact is based on the (mainly unconscious) perception of space that people share with animals. We give a simple mathematical model of this phenomenon and prove its validity on real traffic data. The data include the spacing distributions between cars parked in parallel, the perching birds followed by the car headway distribution, the distribution of distances between walking pedestrians and the distances inside a sheep herd.