An optimal search theory, the so-called Lévy-flight foraging hypothesis, predicts that
predators should adopt search strategies known as Lévy flights where prey is sparse and …

Many free-ranging predators have to make foraging decisions with little, if any, knowledge of
present resource distribution and availability. The optimal search strategy they should use to …

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

LéVY flights are a special class of random walks whose step lengths are not constant but
rather are chosen from a probability distribution with a power-law tail. Realizations of Lévy …

Search processes play an important role in physical, chemical and biological systems. In
animal foraging, the search strategy predators should use to search optimally for prey is an …

It is an open question how animals find food in dynamic natural environments where they
possess little or no knowledge of where resources are located. Foraging theory predicts that …

We address the general question of what is the best statistical strategy to adapt in order to
search efficiently for randomly located objects ('target sites'). It is often assumed in foraging …

Over recent years there has been an accumulation of evidence from a variety of
experimental, theoretical, and field studies that many organisms use a movement strategy …

Summary 1 Lévy flights are specialized random walks with fundamental properties such as
superdiffusivity and scale invariance that have recently been applied in optimal foraging …