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Significance When searching for food or conspecifics with whom to interact or merely meandering in a Petri dish, termites perform small displacements interspersed with a few long strides. This is known as Lévy walk, a pervasive movement pattern in animals. The extent to which this pattern is modifiable by the context is still under debate. We show that Lévy walks emerge from collective actions, being modified as the density of individuals in the group changes and absent when individuals interact with inert obstacles. Moreover, our data suggest strongly that preferential attachments, a phenomenon not reported previously, and favorite interactions with a limited number of acquaintances are responsible for the generation of Lévy movement patterns in these social insects.

Scale-free movement patterns in termites emerge from social interactions and preferential attachments