The evolutionary maintenance of Lévy flight foraging
Fig 1
Four random walks (top) of 104 segments with move lengths pulled from a discrete truncated power-law distribution with exponents u = 1.0, 2.0, 3.0 and 5.0, with random direction from {0, π/2, π, 3π/2}. The walks begin at a random location on a 1000 × 1000 toroidal environment and their power-law distribution (bottom) is shown as a histogram of 104 logged move lengths truncated to half the length of the environment. Walks with exponents near u = 1.0 exhibit ballistic movement, diffusive movement near u = 2.0, and superdiffusion for u ≥ 3.