Fig 9. Output distribution of step lengths for a μ = 2.0 Lévy searcher in a super-dense landscape.
In the simulations, lt = 2.5 with Nt = 50000 targets homogeneously placed. The distribution takes into account the first 104 search steps, including non-truncated moves that end up without detecting a target and also a relatively large number of truncated steps due to targets encounters. Numerical simulation data are represented by circles. Dashed and dotted lines are, respectively, best fits to Brownian-like exponential and truncated power-law pdfs. The inset details the large-steps regime. Statistical data inference (MLE and AIC methods) indicates that the output distribution of step lengths in the super-dense regime is not properly described by a superdiffusive power-law (Lévy-like) pdf. Instead, it shows the signature of a Brownian motion.