The evolutionary origins of Lévy walk foraging

Punctuated equilibrium as an emergent process and its modified thermodynamic characterization

(2017) M.E. Wosniack et al.   JOURNAL OF THEORETICAL BIOLOGY

Foraging success under uncertainty: search tradeoffs and optimal space use

(2016) Frederic Bartumeus et al.   ECOLOGY LETTERS

Lévy patterns in seabirds are multifaceted describing both spatial and temporal patterning

(2016) Andrew M. Reynolds et al.   Frontiers in Zoology

Interfacial Molecular Searching Using Forager Dynamics

(2016) Jon H. Monserud et al.   PHYSICAL REVIEW LETTERS

Effects of Land Cover on the Movement of Frugivorous Birds in a Heterogeneous Landscape

(2016) Natalia Stefanini Da Silveira et al.   PLoS One

Subjective expectation of rewards can change the behavior of smart but impatient foragers

(2016) Marcos Gomes Eleuterio da Luz et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Rationalizing spatial exploration patterns of wild animals and humans through a temporal discounting framework

(2016) Vijay Mohan K. Namboodiri et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Swarm dynamics may give rise to Lévy flights

(2016) Andrew M. Reynolds et al.   Scientific Reports

Signatures of chaos in animal search patterns

(2016) Andy M Reynolds et al.   Scientific Reports

Signatures of a globally optimal searching strategy in the three-dimensional foraging flights of bumblebees

(2016) Mathieu Lihoreau et al.   Scientific Reports

A parallel algorithm for random searches

(2015) M.E. Wosniack et al.   COMPUTER PHYSICS COMMUNICATIONS

Life in the Aftermath of Mass Extinctions

(2015) Pincelli Hull   CURRENT BIOLOGY

Composite random search strategies based on non-directional sensory cues

(2015) Ben C. Nolting et al.   Ecological Complexity

Optimal Levy-flight foraging in a finite landscape

(2015) K. Zhao et al.   Journal of the Royal Society Interface

Ultimate failure of the Lévy Foraging Hypothesis: Two-scale searching strategies outperform scale-free ones even when prey are scarce and cryptic

(2015) Simon Benhamou et al.   JOURNAL OF THEORETICAL BIOLOGY

Robustness of optimal random searches in fragmented environments

(2015) M. E. Wosniack et al.   PHYSICAL REVIEW E

First-passage times in multiscale random walks: The impact of movement scales on search efficiency

(2015) Daniel Campos et al.   PHYSICAL REVIEW E

Efficient search of multiple types of targets

(2015) M. E. Wosniack et al.   PHYSICAL REVIEW E

Inferring Lévy walks from curved trajectories: A rescaling method

(2015) R. M. Tromer et al.   PHYSICAL REVIEW E

Venturing beyond the Lévy flight foraging hypothesis: Reply to comments on “Liberating Lévy walk research from the shackles of optimal foraging”

(2015) Andy Reynolds   Physics of Life Reviews

Answer (in part) blowing in the wind

(2015) Ken Cheng   Physics of Life Reviews

What future for Lévy walks in animal movement research?

(2015) Denis Boyer   Physics of Life Reviews

Why Lévy Foraging does not need to be ‘unshackled’ from Optimal Foraging Theory

(2015) Nicolas E. Humphries   Physics of Life Reviews

Behavioural ecology cannot turn its back on Lévy walk research

(2015) Frederic Bartumeus   Physics of Life Reviews

Divorcing physics from biology? Optimal foraging and Lévy flights

(2015) Octavio Miramontes   Physics of Life Reviews

Do the albatross Lévy flights below the spandrels of St Mark?

(2015) Stefano Focardi   Physics of Life Reviews

And yet it optimizes

(2015) M.G.E. da Luz et al.   Physics of Life Reviews

At the edge of chaos – error tolerance and the maintenance of Lévy statistics in animal movement

(2015) Andrew J.J. MacIntosh   Physics of Life Reviews

Liberating Lévy walk research from the shackles of optimal foraging

(2015) Andy Reynolds   Physics of Life Reviews

A spatial theory for characterizing predator–multiprey interactions in heterogeneous landscapes

(2015) Daniel Fortin et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Experimental evidence for inherent Levy search behaviour in foraging animals

(2015) A. Kolzsch et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Pelagic seabird flight patterns are consistent with a reliance on olfactory maps for oceanic navigation

(2015) Andrew M. Reynolds et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Emergent long-range synchronization of oscillating ecological populations without external forcing described by Ising universality

(2015) Andrew E. Noble et al.   Nature Communications

Swarming bacteria migrate by Lévy Walk

(2015) Gil Ariel et al.   Nature Communications

Inherent noise appears as a Lévy walk in fish schools

(2015) Hisashi Murakami et al.   Scientific Reports

A neural coding scheme reproducing foraging trajectories

(2015) Esther D. Gutiérrez et al.   Scientific Reports

Survival in patchy landscapes: the interplay between dispersal, habitat loss and fragmentation

(2015) Bernardo B. S. Niebuhr et al.   Scientific Reports

Lévy Walks Suboptimal under Predation Risk

(2015) Masato S. Abe et al.   PLoS Computational Biology

Evidence for a pervasive 'idling-mode' activity template in flying and pedestrian insects

(2015) A. M. Reynolds et al.   Royal Society Open Science

The extinction of the dinosaurs

(2014) Stephen L. Brusatte et al.   BIOLOGICAL REVIEWS

Signatures of active and passive optimized Levy searching in jellyfish

(2014) A. M. Reynolds   Journal of the Royal Society Interface

Optimal foraging strategies: Lévy walks balance searching and patch exploitation under a very broad range of conditions

(2014) Nicolas E. Humphries et al.   JOURNAL OF THEORETICAL BIOLOGY

The fossil record of bird behaviour

(2014) D. Naish   JOURNAL OF ZOOLOGY

The origins of crown group birds: molecules and fossils

(2014) Gerald Mayr   PALAEONTOLOGY

Stochastic Optimal Foraging: Tuning Intensive and Extensive Dynamics in Random Searches

(2014) Frederic Bartumeus et al.   PLoS One

Hierarchical random walks in trace fossils and the origin of optimal search behavior

(2014) D. W. Sims et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Levy flight movement patterns in marine predators may derive from turbulence cues

(2014) A. M. Reynolds   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Understanding movements of organisms: it's time to abandon the Lévy foraging hypothesis

(2014) Graham H. Pyke   Methods in Ecology and Evolution

Mussels realize Weierstrassian Lévy walks as composite correlated random walks

(2014) Andy M. Reynolds   Scientific Reports

Beating the Odds in the Aerial Lottery: Passive Dispersers Select Conditions at Takeoff That Maximize Their Expected Fitness on Landing

(2013) Andy M. Reynolds   AMERICAN NATURALIST

Of scales and stationarity in animal movements

(2013) Simon Benhamou   ECOLOGY LETTERS

Effective leadership in animal groups when no individual has pertinent information about resource locations: How interactions between leaders and followers can result in Lévy walk movement patterns

(2013) A. M. Reynolds   EPL

The Lévy flight foraging hypothesis in a pelagic seabird

(2013) Stefano Focardi et al.   JOURNAL OF ANIMAL ECOLOGY

Unveiling a mechanism for species decline in fragmented habitats: fragmentation induced reduction in encounter rates

(2013) M. E. Wosniack et al.   Journal of the Royal Society Interface

Selection pressures give composite correlated random walks Lévy walk characteristics

(2013) A.M. Reynolds   JOURNAL OF THEORETICAL BIOLOGY

Does the Australian desert ant Melophorus bagoti approximate a Lévy search by an intrinsic bi-modal walk?

(2013) Andy M. Reynolds et al.   JOURNAL OF THEORETICAL BIOLOGY

Evidence of Levy walk foraging patterns in human hunter-gatherers

(2013) D. A. Raichlen et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

How superdiffusion gets arrested: ecological encounters explain shift from Levy to Brownian movement

(2013) M. de Jager et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Olfactory search behaviour in the wandering albatross is predicted to give rise to Lévy flight movement patterns

(2012) A.M. Reynolds   ANIMAL BEHAVIOUR

Distinguishing between Lévy walks and strong alternative models

(2012) A. M. Reynolds   ECOLOGY

The universality class of random searches in critically scarce environments

(2012) C. L. Faustino et al.   EPL

The influence of the environment on Lévy random search efficiency: Fractality and memory effects

(2012) A.S. Ferreira et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Conditions under which a superdiffusive random-search strategy is necessary

(2012) S. A. Sotelo-López et al.   PHYSICAL REVIEW E

The Effects of Spatially Heterogeneous Prey Distributions on Detection Patterns in Foraging Seabirds

(2012) Octavio Miramontes et al.   PLoS One

Incorrect Likelihood Methods Were Used to Infer Scaling Laws of Marine Predator Search Behaviour

(2012) Andrew M. Edwards et al.   PLoS One

Foraging success of biological Levy flights recorded in situ

(2012) N. E. Humphries et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Comment on "Levy Walks Evolve Through Interaction Between Movement and Environmental Complexity"

(2012) V. A. A. Jansen et al.   SCIENCE

Response to Comment on "Levy Walks Evolve Through Interaction Between Movement and Environmental Complexity"

(2012) M. de Jager et al.   SCIENCE

Critical Truths About Power Laws

(2012) M. P. H. Stumpf et al.   SCIENCE

Intermittent Motion in Desert Locusts: Behavioural Complexity in Simple Environments

(2012) Sepideh Bazazi et al.   PLoS Computational Biology

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

(2011) Andrew M. Edwards   ECOLOGY

On the Levy-Walk Nature of Human Mobility

(2011) Injong Rhee et al.   IEEE-ACM TRANSACTIONS ON NETWORKING

Lévy flight and Brownian search patterns of a free-ranging predator reflect different prey field characteristics

(2011) David W. Sims et al.   JOURNAL OF ANIMAL ECOLOGY

The roles of the Moran effect and dispersal in synchronizing oscillating populations

(2011) Eli E. Goldwyn et al.   JOURNAL OF THEORETICAL BIOLOGY

Habitat area trumps fragmentation effects on arthropods in an experimental landscape system

(2011) Kimberly A. With et al.   LANDSCAPE ECOLOGY

High activity and Levy searches: jellyfish can search the water column like fish

(2011) G. C. Hays et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Levy Walks Evolve Through Interaction Between Movement and Environmental Complexity

(2011) M. de Jager et al.   SCIENCE

How Landscape Heterogeneity Frames Optimal Diffusivity in Searching Processes

(2011) E. P. Raposo et al.   PLoS Computational Biology

Animals That Randomly Reorient at Cues Left by Correlated Random Walkers Do the Lévy Walk

(2010) A. M. Reynolds   AMERICAN NATURALIST

Ant search strategies after interrupted tandem runs

(2010) N. R. Franks et al.   JOURNAL OF EXPERIMENTAL BIOLOGY

Evolutionary optimality in stochastic search problems

(2010) M. D. Preston et al.   Journal of the Royal Society Interface

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

Balancing the competing demands of harvesting and safety from predation: Lévy walk searches outperform composite Brownian walk searches but only when foraging under the risk of predation

(2010) A.M. Reynolds   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

On the origin of bursts and heavy tails in animal dynamics

(2010) A.M. Reynolds   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Markovian embedding of non-Markovian superdiffusion

(2010) Peter Siegle et al.   PHYSICAL REVIEW E

Interactions between rate processes with different timescales explain counterintuitive foraging patterns of arctic wintering eiders

(2010) J. P. Heath et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

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

(2009) Andy M. Reynolds   BEHAVIORAL ECOLOGY AND SOCIOBIOLOGY

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

(2009) Michael J. Plank et al.   ECOLOGY

The Lévy flight paradigm: random search patterns and mechanisms

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

Can collective searches profit from Lévy walk strategies?

(2009) M C Santos et al.   Journal of Physics A-Mathematical and Theoretical

Darwin's bridge between microevolution and macroevolution

(2009) David N. Reznick et al.   NATURE

Behavioral intermittence, Lévy patterns, and randomness in animal movement

(2009) F. Bartumeus   OIKOS

Continuous-time multidimensional Markovian description of Lévy walks

(2009) Ihor Lubashevsky et al.   PHYSICAL REVIEW E

Adaptive Lévy Walks in Foraging Fallow Deer

(2009) Stefano Focardi et al.   PLoS One

Power-Law Distributions in Empirical Data

(2009) Aaron Clauset et al.   SIAM REVIEW

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

Woody Species as Landscape Modulators and Their Effect on Biodiversity Patterns

(2008) Moshe Shachak et al.   BIOSCIENCE

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

Optimal foraging: Levy pattern or process?

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

The influence of turning angles on the success of non-oriented animal searches

(2008) F. Bartumeus et al.   JOURNAL OF THEORETICAL BIOLOGY

Scaling laws of marine predator search behaviour

(2008) David W. Sims et al.   NATURE

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