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Animal movements have been related to optimal foraging strategies whereself-similar trajectories are central. Most of the experimental studies done sofar have focused mainly on fitting statistical models to data in order to testfor movement patterns described by power-laws. Here we show by analyzing overhalf a million movement displacements that isolated termite workers actuallyexhibit a range of very interesting dynamical properties --including L\'evyflights-- in their exploratory behaviour. Going beyond the current trend ofstatistical model fitting alone, our study analyses anomalous diffusion andstructure functions to estimate values of the scaling exponents describingdisplacement statistics. We evince the fractal nature of the movement patternsand show how the scaling exponents describing termite space explorationintriguingly comply with mathematical relations found in the physics oftransport phenomena. By doing this, we rescue a rich variety of physical andbiological phenomenology that can be potentially important and meaningful forthe study of complex animal behavior and, in particular, for the study of howpatterns of exploratory behaviour of individual social insects may impact notonly their feeding demands but also nestmate encounter patterns and, hence,their dynamics at the social scale.

L\'evy flights and self-similar exploratory behaviour of termite workers: beyond model fitting