Derivation of a Fokker-Planck equation for generalized Langevin dynamics

A - Papers appearing in refereed journals

Khan, S. and Reynolds, A. M. 2005. Derivation of a Fokker-Planck equation for generalized Langevin dynamics. Physica A: Statistical Mechanics and its Applications. 350, pp. 183-188.

Authors	Khan, S. and Reynolds, A. M.
Year of Publication	2005
Journal	Physica A: Statistical Mechanics and its Applications
Journal citation	350, pp. 183-188
Open access	Published as non-open access
Funder project or code	513
	Project: 4725

Related outputs

Insect swarms can be bound together by repulsive forces

A - Papers appearing in refereed journals

Reynolds, A. M. 2020. Insect swarms can be bound together by repulsive forces. European Physical Journal E. 43, p. 39. https://doi.org/10.1140/epje/i2020-11963-x

Environmental Perturbations Induce Correlations in Midge Swarms

A - Papers appearing in refereed journals

Van Der Vaart, K., Sinhuber, M., Reynolds, A. M. and Ouellette, N. T. 2020. Environmental Perturbations Induce Correlations in Midge Swarms. Journal of the Royal Society Interface. 17 (164), p. 20200018. https://doi.org/10.1098/rsif.2020.0018

Similarities between Insect Swarms and Isothermal Globular Clusters

A - Papers appearing in refereed journals

Gorbonos, D., Van der Vaart, K., Sinhuber, M., Puckett, J. G., Ouellette, N. T., Reynolds, A. M. and Gov, N. S. 2020. Similarities between Insect Swarms and Isothermal Globular Clusters. Physical Review Research.

Linking small-scale flight manoeuvers and density profiles to the vertical movement of insects in the nocturnal stable boundary layer

A - Papers appearing in refereed journals

Wainwright, C. E., Reynolds, D. R. and Reynolds, A. M. 2020. Linking small-scale flight manoeuvers and density profiles to the vertical movement of insects in the nocturnal stable boundary layer. Scientific Reports. 10, p. 1019. https://doi.org/10.1038/s41598-020-57779-0

Do bumblebees have signatures? Demonstrating the existence of a speed-curvature power law in Bombus terrestris locomotion patterns.

A - Papers appearing in refereed journals

James, L., Davies, T. G. E., Lim, K. S. and Reynolds, A. M. 2020. Do bumblebees have signatures? Demonstrating the existence of a speed-curvature power law in Bombus terrestris locomotion patterns. PLOS ONE. 15 (1), p. e0226393. https://doi.org/10.1371/journal.pone.0226393

On the emergence of gravitational-like forces in insect swarms

A - Papers appearing in refereed journals

Reynolds, A. M. 2019. On the emergence of gravitational-like forces in insect swarms. Journal of the Royal Society Interface. 16 (160), p. 20190404. https://doi.org/10.1098/rsif.2019.0404

Investigating vertical motion of small insects in the atmospheric boundary layer using millimetre-wavelength radar and Doppler LIDAR

Conference paper

Wainwright, C. E., Stepanian, P. M., Reynolds, D. R. and Reynolds, A. M. 2019. Investigating vertical motion of small insects in the atmospheric boundary layer using millimetre-wavelength radar and Doppler LIDAR. Institution of Engineering and Technology. https://doi.org/10.1049/joe.2019.0596

Mechanical spectroscopy of insect swarms

A - Papers appearing in refereed journals

Van der Vaart, K., Sinhuber, M., Reynolds, A. M. and Ouellette, N.T. 2019. Mechanical spectroscopy of insect swarms. Science Advances. 5 (7), p. eaaw9305. https://doi.org/10.1126/sciadv.aaw9305

On the origin of the tensile strength of insect swarms

A - Papers appearing in refereed journals

Reynolds, A. M. 2019. On the origin of the tensile strength of insect swarms. Physical Biology. 16 (4), p. 046002. https://doi.org/10.1088/1478-3975/ab12b9

Harmonic radar tracking reveals random dispersal pattern of bumblebee (Bombus terrestris) queens after hibernation

A - Papers appearing in refereed journals

Makinson, J. C., Woodgate, J. L., Reynolds, A. M., Capaldi, E. A., Perry, C. J. and Chittka, L. 2019. Harmonic radar tracking reveals random dispersal pattern of bumblebee (Bombus terrestris) queens after hibernation. Scientific Reports. 9 (4651). https://doi.org/10.1038/s41598-019-40355-6

More on midges

A - Papers appearing in refereed journals

Reynolds, A. M. 2018. More on midges. Physics World. 31 (3), pp. 25-25. https://doi.org/10.1088/2058-7058/31

Current status and future directions of Levy walk research

A - Papers appearing in refereed journals

Reynolds, A. M. 2018. Current status and future directions of Levy walk research. Biology Open. 7 (1), p. bio030106. https://doi.org/10.1242/bio.030106

Fluctuating environments drive insect swarms into a new state that is robust to perturbations

A - Papers appearing in refereed journals

Reynolds, A. M. 2018. Fluctuating environments drive insect swarms into a new state that is robust to perturbations. EPL. 124, p. 38001. https://doi.org/10.1209/0295-5075/124/38001

Incorporating terminal velocities into Lagrangian stochastic models of particle dispersal in the atmospheric boundary layer

A - Papers appearing in refereed journals

Reynolds, A. M. 2018. Incorporating terminal velocities into Lagrangian stochastic models of particle dispersal in the atmospheric boundary layer. Scientific Reports. 8, p. 16843. https://doi.org/10.1038/s41598-018-34924-4

Olfactory-cued navigation in shearwaters: linking movement patterns to mechanisms

A - Papers appearing in refereed journals

Abolaffio, M., Reynolds, A. M., Cecere, J. G., Paiva, V. H. and Focardi, S. 2018. Olfactory-cued navigation in shearwaters: linking movement patterns to mechanisms. Scientific Reports. 8 (11590). https://doi.org/10.1038/s41598-018-29919-0

Passive particles Lévy walk through turbulence mirroring the diving patterns of marine predators

A - Papers appearing in refereed journals

Reynolds, A. M. 2018. Passive particles Lévy walk through turbulence mirroring the diving patterns of marine predators. Journal of Physics Communications. 2 (8), p. 085003. https://doi.org/10.1088/2399-6528/aad498

Levy foraging patterns of rural humans

A - Papers appearing in refereed journals

Reynolds, A. M., Ceccon, E., Baldauf, C., Medeiros, T. K. and Miramontes, O. 2018. Levy foraging patterns of rural humans. PLOS ONE. 13 (6), p. e0199099. https://doi.org/10.1371/journal.pone.0199099

Distinguishing between apparent and actual randomness: a preliminary examination with Australian ants

A - Papers appearing in refereed journals

Reynolds, A. M., Ferdous, M. J. and Cheng, K. 2018. Distinguishing between apparent and actual randomness: a preliminary examination with Australian ants. Behavioral Ecology and Sociobiology. 72 (113). https://doi.org/10.1007/s00265-018-2527-1

Langevin dynamics encapsulate the microscopic and emergent macroscopic properties of midge swarms

A - Papers appearing in refereed journals

Reynolds, A. M. 2018. Langevin dynamics encapsulate the microscopic and emergent macroscopic properties of midge swarms. Journal of the Royal Society Interface. 15. https://doi.org/10.1098/rsif.2017.0806

Continuous Radar Tracking Illustrates the Development of Multi-destination Routes of Bumblebees

A - Papers appearing in refereed journals

Woodgate, J. L., Makinson, J. C., Lim, K. S., Reynolds, A. M. and Chittka, L. 2017. Continuous Radar Tracking Illustrates the Development of Multi-destination Routes of Bumblebees. Scientific Reports. 7 (1), p. 17323. https://doi.org/10.1038/s41598-017-17553-1

Are midge swarms bound together by an effective velocity-dependent gravity?

A - Papers appearing in refereed journals

Reynolds, A. M., Sinhuber, M. and Ouellette, N. T. 2017. Are midge swarms bound together by an effective velocity-dependent gravity? European Physical Journal E. 40 (4), p. 46. https://doi.org/10.1140/epje/i2017-11531-7

The Weierstrassian movement patterns of snails

A - Papers appearing in refereed journals

Reynolds, A. M., Santini, G., Chelazzi, G. and Focardi, S. 2017. The Weierstrassian movement patterns of snails. Royal Society Open Science. 4 (6). https://doi.org/10.1098/rsos.160941

The movement of small insects in the convective boundary layer: linking patterns to processes

A - Papers appearing in refereed journals

Wainwright, C. E., Stepanian, P. M., Reynolds, D. R. and Reynolds, A. M. 2017. The movement of small insects in the convective boundary layer: linking patterns to processes. Scientific Reports. 7 (1), p. 5438. https://doi.org/10.1038/s41598-017-04503-0

Chaotic model for lévy walks in swarming bacteria

A - Papers appearing in refereed journals

Ariel, G., Be’er, A. and Reynolds, A. M. 2017. Chaotic model for lévy walks in swarming bacteria. Physical Review Letters. 118 (22), p. 228102. https://doi.org/10.1103/PhysRevLett.118.228102

The Cahn-Hilliard phase separation principle maybe the tip of an iceberg Comment on "Phase separation driven by density-dependent movement: A novel mechanism for ecological patterns" by Q.-X. Liu et al

A - Papers appearing in refereed journals

Reynolds, A. M. 2016. The Cahn-Hilliard phase separation principle maybe the tip of an iceberg Comment on "Phase separation driven by density-dependent movement: A novel mechanism for ecological patterns" by Q.-X. Liu et al. Physics of Life Reviews. 19, pp. 135-136. https://doi.org/10.1016/j.plrev.2016.09.007

Wind-related orientation patterns in diurnal, crepuscular and nocturnal high-altitude insect migrants

A - Papers appearing in refereed journals

Hu, G., Lim, K. S., Reynolds, D. R., Reynolds, A. M. and Chapman, J. W. 2016. Wind-related orientation patterns in diurnal, crepuscular and nocturnal high-altitude insect migrants. Frontiers in Behavioral Neuroscience. 10. https://doi.org/10.3389/fnbeh.2016.00032

Similarities and differences in path integration and search in two species of desert ants inhabiting a visually rich and a visually barren habitat

A - Papers appearing in refereed journals

Schultheiss, P., Stannard, T., Pereira, S., Reynolds, A. M., Wehner, R. and Cheng, K. 2016. Similarities and differences in path integration and search in two species of desert ants inhabiting a visually rich and a visually barren habitat. Behavioral Ecology and Sociobiology. 70 (8), pp. 1319-1329. https://doi.org/10.1007/s00265-016-2140-0

Life-long radar tracking of bumblebees

A - Papers appearing in refereed journals

Woodgate, J. L., Makinson, J. C., Lim, K. S., Reynolds, A. M. and Chittka, L. 2016. Life-long radar tracking of bumblebees. PLOS ONE. 11 (8). https://doi.org/10.1371/journal.pone.0160333

How far can oak pollen be transported in the atmosphere in a single day?

C1 - Edited contributions to conferences/learned societies

Fernandez-Rodriguez, S., Maya-Manzano, J. M., Smith, M., Tormo-Molina, R., Reynolds, A. M., Silva-Palacios, I., Gonzalo-Garijo, A. and Sadys, M. 2016. How far can oak pollen be transported in the atmosphere in a single day? Proceedings 6th European Symposium in Aerobiology, 18-22 July, Lyon, France, 2016. pp. Poster 2407

Pollen dispersal in a hybrid cereal canopy

C1 - Edited contributions to conferences/learned societies

Sadys, M., West, J. S., Spiller, M., Melichar, G., Stiewe, G. and Reynolds, A. M. 2016. Pollen dispersal in a hybrid cereal canopy. In : Proceedings 6th European Symposium on Aerobiology, At Lyon, France, 18-22 July, 2016 . pp. Oral 2315

Optimal search patterns in honeybee orientation flights are robust against emerging infectious diseases

A - Papers appearing in refereed journals

Wolf, S., Nicholls, E., Reynolds, A. M., Wells, P. M., Lim, K. S., Paxton, R. J. and Osborne, J. L. 2016. Optimal search patterns in honeybee orientation flights are robust against emerging infectious diseases. Scientific Reports. 6, p. 32612. https://doi.org/10.1038/srep32612

Airborne Quercus pollen in SW Spain: Identifying favourable conditions for atmospheric transport and potential source areas

A - Papers appearing in refereed journals

Maya-Manzanoa, J. M., Fernandez-Rodriguez, S., Smith, M., Tormo-Molina, R., Reynolds, A. M., Silva-Palacios, I., Gonzalo-Garijo, A. and Sadys, M. 2016. Airborne Quercus pollen in SW Spain: Identifying favourable conditions for atmospheric transport and potential source areas. Science of the Total Environment. 571, pp. 1037-1047. https://doi.org/10.1016/j.scitotenv.2016.07.094

Orientation in high-flying migrant insects in relation to flows: mechanisms and strategies

A - Papers appearing in refereed journals

Reynolds, A. M., Reynolds, D. R., Sane, S. P., Hu, G. and Chapman, J. W. 2016. Orientation in high-flying migrant insects in relation to flows: mechanisms and strategies. Philosophical Transactions of the Royal Society B-Biological Sciences. 371 (1704), p. 20150392. https://doi.org/10.1098/rstb.2015.0392

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

A - Papers appearing in refereed journals

Lihoreau, M., Ings, T. C., Chittka, L. and Reynolds, A. M. 2016. Signatures of a globally optimal searching strategy in the three-dimensional foraging flights of bumblebees. Scientific Reports. 6, p. Article no 30401. https://doi.org/10.1038/srep30401

Swarm dynamics may give rise to Lévy flights

A - Papers appearing in refereed journals

Reynolds, A. M. and Ouellette, N. T. 2016. Swarm dynamics may give rise to Lévy flights. Scientific Reports. 6, p. 30515. https://doi.org/10.1038/srep30515

Signatures of chaos in animal search patterns

A - Papers appearing in refereed journals

Reynolds, A. M., Bartumeus, F., Kolzch, A. and van de Koppel, J. 2016. Signatures of chaos in animal search patterns. Scientific Reports. 6, p. 23492. https://doi.org/10.1038/srep23492

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

A - Papers appearing in refereed journals

Reynolds, A. M., Paiva, V. H., Cecere. J. G. and Focardi, S. 2016. Levy patterns in seabirds are multifaceted describing both spatial and temporal patterning. Frontiers in Zoology. 13, p. 29. https://doi.org/10.1186/s12983-016-0160-2

Detection of flow direction in high-flying insect and songbird migrants

A - Papers appearing in refereed journals

Chapman, J. W., Nilsson, C., Lim, K. S., Backman, J., Reynolds, D. R., Alerstam, T. and Reynolds, A. M. 2015. Detection of flow direction in high-flying insect and songbird migrants. Current Biology. 25, pp. R751-R752. https://doi.org/10.1016/j.cub.2015.07.074

Searching behavior in social Hymenoptera

A - Papers appearing in refereed journals

Schultheiss, P., Cheng, K. and Reynolds, A. M. 2015. Searching behavior in social Hymenoptera. LEARNING AND MOTIVATION. 50, pp. 59-67. https://doi.org/10.1016/j.lmot.2014.11.002

Tsallis distributions, Levy walks and correlated-type anomalous diffusion result from state-dependent diffusion

A - Papers appearing in refereed journals

Reynolds, A. M. and Geritz, S. A. H. 2015. Tsallis distributions, Levy walks and correlated-type anomalous diffusion result from state-dependent diffusion. Physica A: Statistical Mechanics and its Applications. 424, pp. 317-321. https://doi.org/10.1016/j.physa.2015.01.034

Venturing beyond the Levy flight foraging hypothesis: reply to comments on 'Liberating Levy walk research from the shackles of optimal foraging'

A - Papers appearing in refereed journals

Reynolds, A. M. 2015. Venturing beyond the Levy flight foraging hypothesis: reply to comments on 'Liberating Levy walk research from the shackles of optimal foraging'. Physics of Life Reviews. 14, pp. 115-119. https://doi.org/10.1016/j.plrev.2015.07.013

Beyond optimal searching: recent developments in the modelling of animal movement patterns as Levy walks

B - Book chapters etc edited externally

Reynolds, A. M. 2015. Beyond optimal searching: recent developments in the modelling of animal movement patterns as Levy walks. in: Lewis, M. A., Petrovskii, S. V. and Maini, P. K. (ed.) Dispersal, individual movement and spatial ecology. Lecture Notes in Mathematics 2071 Springer, Berlin. pp. 53-76

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

A - Papers appearing in refereed journals

Reynolds, A. M., Cecere. J. G., Paiva, V. H., Ramos, J. A. and Focardi, S. 2015. Pelagic seabird flight patterns are consistent with a reliance on olfactory maps for oceanic navigation. Proceedings of the Royal Society of London Series B Biological Sciences. 282, p. 20150468. https://doi.org/10.1098/rspb.2015.0468

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

A - Papers appearing in refereed journals

Reynolds, A. M., Jones, H. B. C., Hill, J. K., Pearson, A. J., Wilson, K., Wolf, S., Lim, K. S., Reynolds, D. R. and Chapman, J. W. 2015. Evidence for a pervasive 'idling-mode' activity template in flying and pedestrian insects. Royal Society Open Science. 2, p. 150085. https://doi.org/10.1098/rsos.150085

A priority-based queuing process explanation for scale-free foraging behaviours

A - Papers appearing in refereed journals

Reynolds, A. M., Ropert-Coudert, Y., Kato, A., Chiaradia, A. and Macintosh, A. J. J. 2015. A priority-based queuing process explanation for scale-free foraging behaviours. Animal Behaviour. 108, pp. 67-71. https://doi.org/10.1016/j.anbehav.2015.07.022

Extending Levy search theory from one to higher dimensions: Levy walking favours the blind

A - Papers appearing in refereed journals

Reynolds, A. M. 2015. Extending Levy search theory from one to higher dimensions: Levy walking favours the blind. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471, p. 20150123. https://doi.org/10.1098/rspa.2015.0123

Liberating Levy walk research from the shackles of optimal foraging

A - Papers appearing in refereed journals

Reynolds, A. M. 2015. Liberating Levy walk research from the shackles of optimal foraging. Physics of Life Reviews. 14, pp. 59-83. https://doi.org/10.1016/j.plrev.2015.03.002

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

A - Papers appearing in refereed journals

Reynolds, A. M. 2014. Levy flight movement patterns in marine predators may derive from turbulence cues. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 470 (2171), p. 20140408. https://doi.org/10.1098/rspa.2014.0408

Signatures of active and passive optimized Levy searching in jellyfish

A - Papers appearing in refereed journals

Reynolds, A. M. 2014. Signatures of active and passive optimized Levy searching in jellyfish. Journal of the Royal Society Interface. 11 (99), p. 20140665. https://doi.org/10.1098/rsif.2014.0665

Detecting Levy walks without turn designation

A - Papers appearing in refereed journals

Reynolds, A. M. 2014. Detecting Levy walks without turn designation. Behavioral Ecology and Sociobiology. 68, pp. 1893-1899. https://doi.org/10.1007/s00265-014-1819-3

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

A - Papers appearing in refereed journals

Sims, D. W., Reynolds, A. M., Humphries, N. E., Southall, E. J., Wearmouth, V. J., Metcalfe, B. and Twitchett, R. J. 2014. Hierarchical random walks in trace fossils and the origin of optimal search behavior. Proceedings of the National Academy of Sciences of the United States of America - PNAS. 111, pp. 11073-11078. https://doi.org/10.1073/pnas.1405966111

Scaling laws of ambush predator 'waiting' behaviour are tuned to a common ecology

A - Papers appearing in refereed journals

Wearmouth, V. J., Mchugh, M. J., Humphries, N. E., Naegelen, A., Ahmed, M. Z., Southall, E. J., Reynolds, A. M. and Sims, D. W. 2014. Scaling laws of ambush predator 'waiting' behaviour are tuned to a common ecology. Proceedings of the Royal Society of London Series B Biological Sciences. 281, p. 20132997. https://doi.org/10.1098/rspb.2013.2997

Non-volant modes of migration in terrestrial arthropods

A - Papers appearing in refereed journals

Reynolds, D. R., Reynolds, A. M. and Chapman, J. W. 2014. Non-volant modes of migration in terrestrial arthropods. Animal Migration. 2, pp. 8-28. https://doi.org/10.2478/ami-2014-0002

Towards a mechanistic framework that explains correlated random walk behaviour: correlated random walkers can optimize their fitness when foraging under the risk of predation

A - Papers appearing in refereed journals

Reynolds, A. M. 2014. Towards a mechanistic framework that explains correlated random walk behaviour: correlated random walkers can optimize their fitness when foraging under the risk of predation. Ecological Complexity. 19, pp. 18-22. https://doi.org/10.1016/j.ecocom.2014.02.004

Mussels realize Weierstrassian Levy walks as composite correlated random walks

A - Papers appearing in refereed journals

Reynolds, A. M. 2014. Mussels realize Weierstrassian Levy walks as composite correlated random walks. Scientific Reports. 4, p. 4409. https://doi.org/10.1038/srep04409

Distinguishing between Levy walks and strong alternative models: reply

A - Papers appearing in refereed journals

Reynolds, A. M. 2014. Distinguishing between Levy walks and strong alternative models: reply. Ecology. 95 (4), pp. 1109-1112. https://doi.org/10.1890/13-2212.1

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

A - Papers appearing in refereed journals

Reynolds, A. M., Schultheiss, P. and Cheng, K. 2014. Does the Australian desert ant Melophorus bagoti approximate a Levy search by an intrinsic bi-modal walk? Journal of Theoretical Biology. 340, pp. 17-22. https://doi.org/10.1016/j.jtbi.2013.09.006

Movement patterns of Tenebrio beetles demonstrate empirically that correlated-random-walks have similitude with a Levy walk

A - Papers appearing in refereed journals

Reynolds, A. M., Lepretre, L. and Bohan, D. A. 2013. Movement patterns of Tenebrio beetles demonstrate empirically that correlated-random-walks have similitude with a Levy walk. Scientific Reports. 3, p. 3158. https://doi.org/10.1038/srep03158

Unravelling the mechanisms of trapline foraging in bees

A - Papers appearing in refereed journals

Liboreau, M., Raine, N. E., Reynolds, A. M., Stelzer, R. J., Lim, K. S., Smith, A. D., Osborne, J. L. and Chittka, L. 2013. Unravelling the mechanisms of trapline foraging in bees. Communicative and Integrative Biology. 6, p. e22701. https://doi.org/10.4161/cib.22701

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

A - Papers appearing in refereed journals

Reynolds, A. M. 2013. Effective leadership in animal groups where no individual has pertinent information about resource locations: how interactions between leaders and followers can result in Levy walk movement patterns. EPL. 102, p. 18001. https://doi.org/10.1209/0295-5075/102/18001

Are Levy flight patterns derived from the Weber-Fechner law in distance estimation?

A - Papers appearing in refereed journals

Reynolds, A. M., Schultheiss, P. and Cheng, K. 2013. Are Levy flight patterns derived from the Weber-Fechner law in distance estimation? Behavioral Ecology and Sociobiology. 67, pp. 1219-1226. https://doi.org/10.1007/s00265-013-1549-y

Selection pressures give composite correlated random walks Levy walk characteristics

A - Papers appearing in refereed journals

Reynolds, A. M. 2013. Selection pressures give composite correlated random walks Levy walk characteristics. Journal of Theoretical Biology. 332, pp. 117-122. https://doi.org/10.1016/j.jtbi.2013.04.035

The ontogeny of bumblebee flight trajectories: from naive explorers to experienced foragers

A - Papers appearing in refereed journals

Osborne, J. L., Smith, A. D., Clark, S. J., Reynolds, D. R., Barron, M. C., Lim, K. S. and Reynolds, A. M. 2013. The ontogeny of bumblebee flight trajectories: from naive explorers to experienced foragers. PLOS ONE. 8 (11), p. e78681. https://doi.org/10.1371/journal.pone.0078681

A simple iterative model accurately captures complex trapline formation by bumblebees across spatial scales and flower arrangements

A - Papers appearing in refereed journals

Reynolds, A. M., Lihoreau, M. and Chittka, L. 2013. A simple iterative model accurately captures complex trapline formation by bumblebees across spatial scales and flower arrangements. PLOS Computational Biology. 9, p. e1002938 (10pp). https://doi.org/10.1371/journal.pcbi.1002938

Beating the odds in the aerial lottery: passive dispersers select conditions at takeoff that maximize their expected fitness on landing

A - Papers appearing in refereed journals

Reynolds, A. M. 2013. Beating the odds in the aerial lottery: passive dispersers select conditions at takeoff that maximize their expected fitness on landing. The American Naturalist. 181, pp. 555-561. https://doi.org/10.1086/669677

Incorporating sweeps and ejections into Lagrangian stochastic models of spore trajectories within plant canopy turbulence: modeled contact distributions are heavy-tailed

A - Papers appearing in refereed journals

Reynolds, A. M. 2012. Incorporating sweeps and ejections into Lagrangian stochastic models of spore trajectories within plant canopy turbulence: modeled contact distributions are heavy-tailed. Phytopathology. 102, pp. 1026-1033. https://doi.org/10.1094/PHYTO-01-12-0002

Gusts within plant canopies are extreme value processes

A - Papers appearing in refereed journals

Reynolds, A. M. 2012. Gusts within plant canopies are extreme value processes. Physica A: Statistical Mechanics and its Applications. 391 (21), pp. 5059-5063. https://doi.org/10.1016/j.physa.2012.05.062

Radar tracking and motion-sensitive cameras on flowers reveal the development of pollinator multi-destination routes over large spatial scales

A - Papers appearing in refereed journals

Lihoreau, M., Raine, N. E., Reynolds, A. M., Stelzer, R. J., Lim, K. S., Smith, A. D., Osborne, J. L. and Chittka, L. 2012. Radar tracking and motion-sensitive cameras on flowers reveal the development of pollinator multi-destination routes over large spatial scales. PLOS Biology. 10, p. e1001392. https://doi.org/10.1371/journal.pbio.1001392

Distinguishing between Levy walks and strong alternative models

A - Papers appearing in refereed journals

Reynolds, A. M. 2012. Distinguishing between Levy walks and strong alternative models. Ecology. 93 (5), pp. 1228-1233. https://doi.org/10.1890/11-1815.1

Fitness-maximizing foragers can use information about patch quality to decide how to search for and within patches: optimal Levy walk searching patterns from optimal foraging theory

A - Papers appearing in refereed journals

Reynolds, A. M. 2012. Fitness-maximizing foragers can use information about patch quality to decide how to search for and within patches: optimal Levy walk searching patterns from optimal foraging theory. Journal of the Royal Society Interface. 9, pp. 1568-1575. https://doi.org/10.1098/rsif.2011.0815

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

A - Papers appearing in refereed journals

Reynolds, A. M. 2012. Olfactory search behaviour in the wandering albatross is predicted to give rise to Levy flight movement patterns. Animal Behaviour. 83, pp. 1225-1229. https://doi.org/10.1016/j.anbehav.2012.02.014

Truncated Levy walks are expected beyond the scale of data collection when correlated random walks embody observed movement patterns

A - Papers appearing in refereed journals

Reynolds, A. M. 2012. Truncated Levy walks are expected beyond the scale of data collection when correlated random walks embody observed movement patterns. Journal of the Royal Society Interface. 9, pp. 528-534. https://doi.org/10.1098/rsif.2011.0363

Development and validation of a Lagrangian probability density function model of horizontally-homogeneous turbulence within and above plant canopies

A - Papers appearing in refereed journals

Reynolds, A. M. 2012. Development and validation of a Lagrangian probability density function model of horizontally-homogeneous turbulence within and above plant canopies. Boundary-Layer Meteorology. 142, pp. 193-205. https://doi.org/10.1007/s10546-011-9666-5

Exponential and power-law contact distributions represent different atmospheric conditions

A - Papers appearing in refereed journals

Reynolds, A. M. 2011. Exponential and power-law contact distributions represent different atmospheric conditions. Phytopathology. 101, pp. 1465-1470. https://doi.org/10.1094/PHYTO-01-11-0001

Animal orientation strategies for movement in flows

A - Papers appearing in refereed journals

Chapman, J. W., Klaassen, R. H. G., Drake, V. A., Fossette, S., Hays, G. C., Metcalfe, J. D., Reynolds, A. M., Reynolds, D. R. and Alerstam, T. 2011. Animal orientation strategies for movement in flows. Current Biology. 21, pp. R861-R870. https://doi.org/10.1016/j.cub.2011.08.014

Flight altitude selection increases orientation performance in high-flying nocturnal insect migrants

A - Papers appearing in refereed journals

Aralimarad, P., Reynolds, A. M., Lim, K. S., Reynolds, D. R. and Chapman, J. W. 2011. Flight altitude selection increases orientation performance in high-flying nocturnal insect migrants. Animal Behaviour. 82, pp. 1221-1225. https://doi.org/10.1016/j.anbehav.2011.09.013

Chemotaxis can provide biological organisms with good solutions to the travelling salesman problem

A - Papers appearing in refereed journals

Reynolds, A. M. 2011. Chemotaxis can provide biological organisms with good solutions to the travelling salesman problem. Physical Review E. 83, p. 052901 (4 pp). https://doi.org/10.1103/PhysRevE.83.052901

Chemotaxis can take plant-parasitic nematodes to the source of a chemo-attractant via the shortest possible routes

A - Papers appearing in refereed journals

Reynolds, A. M., Dutta, T. K., Curtis, R. H. C., Powers, S. J., Gaur, H. S. and Kerry, B. R. 2011. Chemotaxis can take plant-parasitic nematodes to the source of a chemo-attractant via the shortest possible routes. Journal of the Royal Society Interface. 8, pp. 568-577. https://doi.org/10.1098/rsif.2010.0417

On the origin of bursts and heavy tails in animal dynamics

A - Papers appearing in refereed journals

Reynolds, A. M. 2011. On the origin of bursts and heavy tails in animal dynamics. Physica A: Statistical Mechanics and its Applications. 390, pp. 245-249. https://doi.org/10.1016/j.physa.2010.09.020

Orientation cues for high-flying nocturnal insect migrants: do turbulence-induced temperature and velocity fluctuations indicate the mean wind flow?

A - Papers appearing in refereed journals

Reynolds, A. M., Reynolds, D. R., Smith, A. D. and Chapman, J. W. 2010. Orientation cues for high-flying nocturnal insect migrants: do turbulence-induced temperature and velocity fluctuations indicate the mean wind flow? PLOS ONE. 5, p. e15758 (6pp). https://doi.org/10.1371/journal.pone.0015758

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

A - Papers appearing in refereed journals

Reynolds, A. M. 2010. Bridging the gulf between correlated random walks and Levy walks: autocorrelation as a source of Levy walk movement patterns. Journal of the Royal Society Interface. 7, pp. 1753-1758. https://doi.org/10.1098/rsif.2010.0292

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

A - Papers appearing in refereed journals

Reynolds, A. M. 2010. Balancing the competing demands of harvesting and safety from predation: Levy walk searches outperform composite Brownian walk searches but only when foraging under the risk of predation. Physica A: Statistical Mechanics and its Applications. 389, pp. 4740-4746. https://doi.org/10.1016/j.physa.2010.06.027

Maze-solving by chemotaxis

A - Papers appearing in refereed journals

Reynolds, A. M. 2010. Maze-solving by chemotaxis. Physical Review E. 81, p. 062901. https://doi.org/10.1103/PhysRevE.81.062901

Animals that randomly reorient at cues left by correlated random walkers do the Levy walk

A - Papers appearing in refereed journals

Reynolds, A. M. 2010. Animals that randomly reorient at cues left by correlated random walkers do the Levy walk. The American Naturalist. 175, pp. 607-613. https://doi.org/10.1086/651617

A single wind-mediated mechanism explains high-altitude 'non-goal oriented' headings and layering of nocturnally migrating insects

A - Papers appearing in refereed journals

Reynolds, A. M., Reynolds, D. R., Smith, A. D. and Chapman, J. W. 2010. A single wind-mediated mechanism explains high-altitude 'non-goal oriented' headings and layering of nocturnally migrating insects. Proceedings of the Royal Society of London Series B Biological Sciences. 277, pp. 765-772. https://doi.org/10.1098/rspb.2009.1221

Can spontaneous cell movements be modelled as Levy walks?

A - Papers appearing in refereed journals

Reynolds, A. M. 2010. Can spontaneous cell movements be modelled as Levy walks? Physica A: Statistical Mechanics and its Applications. 389, pp. 273-277. https://doi.org/10.1016/j.physa.2009.09.027

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

A - Papers appearing in refereed journals

Reynolds, A. M., Swain, J. L., Smith, A. D., Martin, A. P. and Osborne, J. L. 2009. Honeybees use a Levy flight search strategy and odour-mediated anemotaxis to relocate food sources. Behavioral Ecology and Sociobiology. 64, pp. 115-123. https://doi.org/10.1007/s00265-009-0826-2

Levy flight patterns are predicted to be an emergent property of a bumblebee's foraging strategy

A - Papers appearing in refereed journals

Reynolds, A. M. 2009. Levy flight patterns are predicted to be an emergent property of a bumblebee's foraging strategy. Behavioral Ecology and Sociobiology. 64, pp. 19-23. https://doi.org/10.1007/s00265-009-0813-7

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

A - Papers appearing in refereed journals

Reynolds, A. M. 2009. Scale-free animal movement patterns: Levy walks outperform fractional Brownian motions and fractional Levy motions in random search scenarios. Journal of Physics A-Mathematical and Theoretical. 42, p. 434006 (11pp). https://doi.org/10.1088/1751-8113/42/43/434006

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

A - Papers appearing in refereed journals

Reynolds, A. M. and Bartumeus, F. 2009. Optimising the success of random destructive searches: Levy walks can outperform ballistic motions. Journal of Theoretical Biology. 260, pp. 98-103. https://doi.org/10.1016/j.jtbi.2009.05.033

The Levy flight paradigm - random search patterns and mechanisms

A - Papers appearing in refereed journals

Reynolds, A. M. and Rhodes, C. J. 2009. The Levy flight paradigm - random search patterns and mechanisms. Ecology. 90 (4), pp. 877-887. https://doi.org/10.1890/08-0153.1

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

A - Papers appearing in refereed journals

Reynolds, A. M. 2009. Adaptive Levy walks can outperform composite Brownian walks in non-destructive random searching scenarios. Physica A: Statistical Mechanics and its Applications. 388, pp. 561-564. https://doi.org/10.1016/j.physa.2008.11.007

Predator percolation, insect outbreaks and phase polyphenism

A - Papers appearing in refereed journals

Reynolds, A. M., Sword, G. A., Simpson, S. J. and Reynolds, D. R. 2009. Predator percolation, insect outbreaks and phase polyphenism. Current Biology. 19, pp. 20-24. https://doi.org/10.1016/j.cub.2008.10.070

Does a 'turbophoretic' effect account for layer concentrations of insects migrating in the stable night-time atmosphere?

A - Papers appearing in refereed journals

Reynolds, A. M., Reynolds, D. R. and Riley, J. R. 2009. Does a 'turbophoretic' effect account for layer concentrations of insects migrating in the stable night-time atmosphere? Journal of the Royal Society Interface. 6, pp. 87-95. https://doi.org/10.1098/rsif.2008.0173

Aphid aerial density profiles are consistent with turbulent advection amplifying flight behaviours: abandoning the epithet 'passive'

A - Papers appearing in refereed journals

Reynolds, A. M. and Reynolds, D. R. 2009. Aphid aerial density profiles are consistent with turbulent advection amplifying flight behaviours: abandoning the epithet 'passive'. Proceedings of the Royal Society of London Series B Biological Sciences. 276, pp. 137-143. https://doi.org/10.1098/rspb.2008.0880

Bee searching strategies in the landscape

C2 - Non-edited contributions to conferences

Osborne, J. L., Smith, A. D. and Reynolds, A. M. 2008. Bee searching strategies in the landscape. Abstracts 3rd European Conference of Apidology (EurBee3), Belfast,8-11 September 2008 . pp. 79

How many animals really do the Levy walk? Comment

A - Papers appearing in refereed journals

Reynolds, A. M. 2008. How many animals really do the Levy walk? Comment. Ecology. 89 (8), pp. 2347-2351. https://doi.org/10.1890/07-1688.1

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

A - Papers appearing in refereed journals

Reynolds, A. M. 2008. Deterministic walks with inverse-square power-law scaling are an emergent property of predators that use chemotaxis to locate randomly distributed prey. Physical Review E. 78, p. 011906 (5 pages). https://doi.org/10.1103/PhysRevE.78.011906

Particle deposition onto rough surfaces

A - Papers appearing in refereed journals

Lo Iacono, G., Reynolds, A. M. and Tucker, P. G. 2008. Particle deposition onto rough surfaces. Journal of Fluids Engineering. 130, p. 074501 (5 pages). https://doi.org/10.1115/1.2948359

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

A - Papers appearing in refereed journals

Guy, A. G., Bohan, D. A., Powers, S. J. and Reynolds, A. M. 2008. Avoidance of conspecific odour by carabid beetles: a mechanism for the emergence of scale-free searching patterns. Animal Behaviour. 76, pp. 585-591. https://doi.org/10.1016/j.anbehav.2008.04.004

Optimal random Levy-loop searching: new insights into the searching behaviours of central-place foragers

A - Papers appearing in refereed journals

Reynolds, A. M. 2008. Optimal random Levy-loop searching: new insights into the searching behaviours of central-place foragers. EPL-Europhysics Letters. 82, p. 20001 (6pp). https://doi.org/10.1209/0295-5075/82/20001

Modelling of concentrations along a moving observer in an inhomogeneous plume. Biological application: model of odour-mediated insect flights

A - Papers appearing in refereed journals

Lo Iacono, G. and Reynolds, A. M. 2008. Modelling of concentrations along a moving observer in an inhomogeneous plume. Biological application: model of odour-mediated insect flights. Environmental Fluid Mechanics. 8, pp. 147-168. https://doi.org/10.1007/s10652-008-9054-y

The influence of search strategies and homogeneous isotropic turbulence on planktonic contact rates

A - Papers appearing in refereed journals

Rhodes, C. J. and Reynolds, A. M. 2007. The influence of search strategies and homogeneous isotropic turbulence on planktonic contact rates. EPL-Europhysics Letters. 80, p. 60003 (5pp). https://doi.org/10.1209/0295-5075/80/60003

Honeybees perform optimal scale-free searching flights when attempting to locate a food source

A - Papers appearing in refereed journals

Reynolds, A. M., Smith, A. D., Reynolds, D. R., Carreck, N. L. and Osborbe, J. L. 2007. Honeybees perform optimal scale-free searching flights when attempting to locate a food source. Journal Of Experimental Biology. 210, pp. 3763-3770. https://doi.org/10.1242/jeb.009563

Avoidance of conspecific odour trails results in scale-free movement patterns and the execution of an optimal searching strategy

A - Papers appearing in refereed journals

Reynolds, A. M. 2007. Avoidance of conspecific odour trails results in scale-free movement patterns and the execution of an optimal searching strategy. EPL-Europhysics Letters. 79, p. 30006 (5 pages). https://doi.org/10.1209/0295-5075/79/30006

Dissipation conditioned stochastic modeling of scalar concentration fluctuations in turbulent flows

A - Papers appearing in refereed journals

Reynolds, A. M. 2007. Dissipation conditioned stochastic modeling of scalar concentration fluctuations in turbulent flows. Physics Of Fluids. 19, p. 075101 (6pp). https://doi.org/10.1063/1.2747681

Displaced honey bees perform optimal scale-free search flights

A - Papers appearing in refereed journals

Reynolds, A. M., Smith, A. D., Menzel, R., Greggers, U., Reynolds, D. R. and Riley, J. R. 2007. Displaced honey bees perform optimal scale-free search flights. Ecology. 88 (8), pp. 1955-1961. https://doi.org/10.1890/06-1916.1

Appetitive flight patterns of male Agrotis segetum moths over landscape scales

A - Papers appearing in refereed journals

Reynolds, A. M., Reynolds, D. R., Smith, A. D., Svensson, G. P. and Lofstedt, C. 2007. Appetitive flight patterns of male Agrotis segetum moths over landscape scales. Journal of Theoretical Biology. 245, pp. 141-149. https://doi.org/10.1016/j.jtbi.2006.10.007

Free-flight odor tracking in Drosophila is consistent with an optimal intermittent scale-free search

A - Papers appearing in refereed journals

Reynolds, A. M. and Frye, M. A. 2007. Free-flight odor tracking in Drosophila is consistent with an optimal intermittent scale-free search. PLOS ONE. 2, p. e354. https://doi.org/10.1371/journal.pone.0000354

Optimal scale-free searching strategies for the location of moving targets: new insights on visually cued mate location behaviour in insects

A - Papers appearing in refereed journals

Reynolds, A. M. 2006. Optimal scale-free searching strategies for the location of moving targets: new insights on visually cued mate location behaviour in insects. Physics Letters A. 360, pp. 224-227. https://doi.org/10.1016/j.physleta.2006.08.047

Ballooning dispersal in arthropod taxa with convergent behaviours: dynamic properties of ballooning silk in turbulent flows

A - Papers appearing in refereed journals

Reynolds, A. M., Bohan, D. A. and Bell, J. R. 2006. Ballooning dispersal in arthropod taxa with convergent behaviours: dynamic properties of ballooning silk in turbulent flows. Biology Letters. 2, pp. 371-373. https://doi.org/10.1098/rsbl.2006.0486

Stochastic simulation of Lagrangian trajectories in near-wall turbulence

A - Papers appearing in refereed journals

Reynolds, A. M. 2006. Stochastic simulation of Lagrangian trajectories in near-wall turbulence. Physics Of Fluids. 18, p. Art no. 075107. https://doi.org/10.1063/1.2236303

On the intermittent behaviour of foraging animals

A - Papers appearing in refereed journals

Reynolds, A. M. 2006. On the intermittent behaviour of foraging animals. EPL-Europhysics Letters. 75, pp. 517-520. https://doi.org/10.1209/epl/i2006-10157-x

On chirality and turbulent dispersion

A - Papers appearing in refereed journals

Reynolds, A. M. 2006. On chirality and turbulent dispersion. Physica D-Nonlinear Phenomena. 218, pp. 185-190. https://doi.org/10.1016/j.physd.2006.05.008

Cooperative random Levy flight searches and the flight patterns of honeybees

A - Papers appearing in refereed journals

Reynolds, A. M. 2006. Cooperative random Levy flight searches and the flight patterns of honeybees. Physics Letters A. 354, pp. 384-388. https://doi.org/10.1016/j.physleta.2006.01.086

Parameterizations of Lagrangian spin statistics and particle dispersion in the presence of coherent vortices

A - Papers appearing in refereed journals

Veneziani, M., Griffa, A., Reynolds, A. M., Garraffo, Z. D. and Chassignet, E. P. 2005. Parameterizations of Lagrangian spin statistics and particle dispersion in the presence of coherent vortices. Journal Of Marine Research. 63, pp. 1057-1083. https://doi.org/10.1357/002224005775247571

Scale-free movement patterns arising from olfactory-driven foraging

A - Papers appearing in refereed journals

Reynolds, A. M. 2005. Scale-free movement patterns arising from olfactory-driven foraging. Physical Review E. 72, p. Art. no. 041928 (5 pages). https://doi.org/10.1103/PhysRevE.72.041928

A Lagrangian stochastic model for the dispersion and deposition of Brownian particles in the presence of a temperature gradient

A - Papers appearing in refereed journals

Lo Iacono, G. and Reynolds, A. M. 2005. A Lagrangian stochastic model for the dispersion and deposition of Brownian particles in the presence of a temperature gradient. Journal Of Aerosol Science. 36, pp. 1238-1250.

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