The Lévy flight paradigm: random search patterns and mechanisms.

By A. Reynolds, Christopher J. Rhodes. Ecology, 2009

316 citations recorded by the source corpus.

Subfields: Molecular Biology, Public Health, Environmental and Occupational Health, Sensory Systems

View Paper: https://www.semanticscholar.org/paper/be08d6c54a9f7b80f2ce9451c2de8bd9d9103cb3

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Citations in the corpus

Phylogeography takes a relaxed random walk in continuous space and time. (2010, background): “For ν 2, the Student's t distribution emits infinite variance and derives motivation from Lévy flight models (Viswanathan et al. 1996; Reynolds and Rhodes 2009), while not strictly enforcing power-law tail distributions that remain contentious in animal movement studies (Okubo and Levin 1989;…”
Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains (2015, background): “These stochastic processes play an important role in probability and have been used in recent years to model prices in finance [26,59] and anomalous diffusions in physics [52,55], biology, and ecology [44, 56], among others.”
Understanding movements of organisms: it's time to abandon the Lévy foraging hypothesis (2015, methodology): “…movements of organisms Despite all the above issues and difficulties, the L evy hypothesis has been labelled a ‘paradigm’ (Plank & James 2008; Reynolds & Rhodes 2009; Reynolds 2010; Lundy et al. 2013), an apt description because this approach has been dictating the ways in which research…”
Turn designation, sampling rate and the misidentification of power laws in movement path data using maximum likelihood estimates (2011, background): “Testing for superdiffusive characteristics may be useful, and it is certainly sensible to use more than one test on a particular dataset to be more certain of any conclusions drawn (Reynolds et al. 2007; Reynolds and Rhodes 2009).”
Air pollutants degrade floral scents and increase insect foraging times (2016, methodology): “167 From all the possible random walk models, Lévy walks have received significant attention 168 (Viswanathan et al., 1999; Reynolds and Rhodes, 2009; Reynolds, 2010).”