Assessing Levy walks as models of animal foraging

Overturning conclusions of Lévy flight movement patterns by fishing boats and foraging animals

(2011) Andrew M. Edwards   ECOLOGY

Bridging the gulf between correlated random walks and Levy walks: autocorrelation as a source of Levy walk movement patterns

(2010) A. M. Reynolds   Journal of the Royal Society Interface

Environmental context explains Lévy and Brownian movement patterns of marine predators

(2010) Nicolas E. Humphries et al.   NATURE

Dispersal in a Statistically Structured Population: Fat Tails Revisited

(2009) Sergei Petrovskii et al.   AMERICAN NATURALIST

Lévy flight patterns are predicted to be an emergent property of a bumblebees’ foraging strategy

(2009) Andy M. Reynolds   BEHAVIORAL ECOLOGY AND SOCIOBIOLOGY

Honeybees use a Lévy flight search strategy and odour-mediated anemotaxis to relocate food sources

(2009) Andrew M. Reynolds et al.   BEHAVIORAL ECOLOGY AND SOCIOBIOLOGY

Underwater and above-water search patterns of an Arctic seabird: reduced searching at small spatiotemporal scales

(2009) Kyle Hamish Elliott et al.   BEHAVIORAL ECOLOGY AND SOCIOBIOLOGY

Efficient or Inaccurate? Analytical and Numerical Modelling of Random Search Strategies

(2009) Alex James et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Sampling rate and misidentification of Lévy and non-Lévy movement paths

(2009) Michael J. Plank et al.   ECOLOGY

Continuous models of population-level heterogeneity inform analysis of animal dispersal and migration

(2009) Eliezer Gurarie et al.   ECOLOGY

The Lévy flight paradigm: random search patterns and mechanisms

(2009) A. M. Reynolds et al.   ECOLOGY

Scale-free animal movement patterns: Lévy walks outperform fractional Brownian motions and fractional Lévy motions in random search scenarios

(2009) A M Reynolds   Journal of Physics A-Mathematical and Theoretical

Lévy flights and random searches

(2009) E P Raposo et al.   Journal of Physics A-Mathematical and Theoretical

Optimising the success of random destructive searches: Lévy walks can outperform ballistic motions

(2009) A.M. Reynolds et al.   JOURNAL OF THEORETICAL BIOLOGY

Avoidance of conspecific odour by carabid beetles: a mechanism for the emergence of scale-free searching patterns

(2008) Adam G. Guy et al.   ANIMAL BEHAVIOUR

HOW MANY ANIMALS REALLY DO THE LÉVY WALK? COMMENT

(2008) Andy Reynolds   ECOLOGY

HOW MANY ANIMALS REALLY DO THE LÉVY WALK? REPLY

(2008) Simon Benhamou   ECOLOGY

ON ESTIMATING THE EXPONENT OF POWER-LAW FREQUENCY DISTRIBUTIONS

(2008) Ethan P. White et al.   ECOLOGY

Optimal random Lévy-loop searching: New insights into the searching behaviours of central-place foragers

(2008) A. M. Reynolds   EPL

Superdiffusion and encounter rates in diluted, low dimensional worlds

(2008) F. Bartumeus et al.   European Physical Journal-Special Topics

Using likelihood to test for Lévy flight search patterns and for general power-law distributions in nature

(2008) Andrew M. Edwards   JOURNAL OF ANIMAL ECOLOGY

Random walk models in biology

(2008) E. A Codling et al.   Journal of the Royal Society Interface

Optimal foraging: Levy pattern or process?

(2008) M.J Plank et al.   Journal of the Royal Society Interface

Anomalous diffusion of heterogeneous populations characterized by normal diffusion at the individual level

(2008) S. Hapca et al.   Journal of the Royal Society Interface

Scaling laws of marine predator search behaviour

(2008) David W. Sims et al.   NATURE

Adaptive Lévy walks can outperform composite Brownian walks in non-destructive random searching scenarios

(2008) A.M. Reynolds   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Optimizing the encounter rate in biological interactions: Ballistic versus Lévy versus Brownian strategies

(2008) A. James et al.   PHYSICAL REVIEW E

Optimization of random searches on defective lattice networks

(2008) M. C. Santos et al.   PHYSICAL REVIEW E

Deterministic walks with inverse-square power-law scaling are an emergent property of predators that use chemotaxis to locate randomly distributed prey

(2008) A. M. Reynolds   PHYSICAL REVIEW E

Lévy flights and superdiffusion in the context of biological encounters and random searches

(2008) G.M. Viswanathan et al.   Physics of Life Reviews

Levy strategies in intermittent search processes are advantageous

(2008) M. A. Lomholt et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Fractal reorientation clocks: Linking animal behavior to statistical patterns of search

(2008) F. Bartumeus et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA