Lévy flights are specialized random walks with fundamental properties such as superdiffusivity
and scale invariance that have recently been applied in optimal foraging theory. Lévy …

The study of animal foraging behaviour is of practical ecological importance 1 , and exemplifies
the wider scientific problem of optimizing search strategies 2 . Lévy flights are random …

The hypothesis that the optimal search strategy is a Lévy walk (LW) or Lévy flight, originally
suggested in 1995, has generated an explosion of interest and controversy. Long-standing …

Using the foraging movements of an insectivorous bat, Myotis mystacinus, we describe temporal
switching of foraging behaviour in response to resource availability. These observations …

Background The Lévy flight foraging hypothesis predicts a transition from scale-free Lévy
walk (LW) to scale-specific Brownian motion (BM) as an animal moves from resource-poor …

Some of the strongest empirical support for Lévy search theory has come from telemetry
data for the dive patterns of marine predators (sharks, bony fishes, sea turtles and penguins). …

Background Ecologists are collecting extensive data concerning movements of animals in
marine ecosystems. Such data need to be analysed with valid statistical methods to yield …

The foraging behaviour of the African elephant (Loxodonta africana) along its movement
path has been studied minimally due to lack of detailed movement data. However with …

The Lévy walk hypothesis asserts that the optimal search strategy for a forager under specific
conditions is to make successive movement steps that have uniformly random directions …

Background Theoretical studies predict that Lévy walks maximizes the chance of encountering
randomly distributed targets with a low density, but Brownian walks is favorable inside a …