The influence of the environment on Lévy random search efficiency: Fractality and memory effects
Author
Abstract
Suggested Citation
DOI: 10.1016/j.physa.2012.01.028
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- da Luz, M.G.E & Buldyrev, Sergey V & Havlin, Shlomo & Raposo, E.P & Stanley, H.Eugene & Viswanathan, G.M, 2001. "Improvements in the statistical approach to random Lévy flight searches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 89-92.
- Todd M. Scanlon & Kelly K. Caylor & Simon A. Levin & Ignacio Rodriguez-Iturbe, 2007. "Positive feedbacks promote power-law clustering of Kalahari vegetation," Nature, Nature, vol. 449(7159), pages 209-212, September.
- Reynolds, A.M., 2010. "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," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4740-4746.
- G. M. Viswanathan & Sergey V. Buldyrev & Shlomo Havlin & M. G. E. da Luz & E. P. Raposo & H. Eugene Stanley, 1999. "Optimizing the success of random searches," Nature, Nature, vol. 401(6756), pages 911-914, October.
- E P Raposo & F Bartumeus & M G E da Luz & P J Ribeiro-Neto & T A Souza & G M Viswanathan, 2011. "How Landscape Heterogeneity Frames Optimal Diffusivity in Searching Processes," PLOS Computational Biology, Public Library of Science, vol. 7(11), pages 1-8, November.
- H. Eugene Stanley & Sergey V. Buldyrev, 2001. "The salesman and the tourist," Nature, Nature, vol. 413(6854), pages 373-374, September.
- D. Brockmann & L. Hufnagel & T. Geisel, 2006. "The scaling laws of human travel," Nature, Nature, vol. 439(7075), pages 462-465, January.
- Buldyrev, S.V. & Gitterman, M. & Havlin, S. & Kazakov, A.Ya. & da Luz, M.G.E. & Raposo, E.P. & Stanley, H.E. & Viswanathan, G.M., 2001. "Properties of Lévy flights on an interval with absorbing boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 302(1), pages 148-161.
- Sonia Kéfi & Max Rietkerk & Concepción L. Alados & Yolanda Pueyo & Vasilios P. Papanastasis & Ahmed ElAich & Peter C. de Ruiter, 2007. "Spatial vegetation patterns and imminent desertification in Mediterranean arid ecosystems," Nature, Nature, vol. 449(7159), pages 213-217, September.
- Reynolds, A.M., 2009. "Adaptive Lévy walks can outperform composite Brownian walks in non-destructive random searching scenarios," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(5), pages 561-564.
- David W. Sims & Emily J. Southall & Nicolas E. Humphries & Graeme C. Hays & Corey J. A. Bradshaw & Jonathan W. Pitchford & Alex James & Mohammed Z. Ahmed & Andrew S. Brierley & Mark A. Hindell & David, 2008. "Scaling laws of marine predator search behaviour," Nature, Nature, vol. 451(7182), pages 1098-1102, February.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Marina E Wosniack & Marcos C Santos & Ernesto P Raposo & Gandhi M Viswanathan & Marcos G E da Luz, 2017. "The evolutionary origins of Lévy walk foraging," PLOS Computational Biology, Public Library of Science, vol. 13(10), pages 1-31, October.
- Sakiyama, Tomoko, 2023. "Spatial inconsistency of memorized positions produces different types of movements," Ecological Modelling, Elsevier, vol. 481(C).
- Boschetti, Fabio & Vanderklift, Mathew A., 2015. "How the movement characteristics of large marine predators influence estimates of their abundance," Ecological Modelling, Elsevier, vol. 313(C), pages 223-236.
- Qi, Jie & Rong, Zhihai, 2013. "The emergence of scaling laws search dynamics in a particle swarm optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1522-1531.
- Nauta, Johannes & Simoens, Pieter & Khaluf, Yara, 2022. "Group size and resource fractality drive multimodal search strategies: A quantitative analysis on group foraging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
- Ndibatya, Innocent & Booysen, M.J., 2021. "Characterizing the movement patterns of minibus taxis in Kampala's paratransit system," Journal of Transport Geography, Elsevier, vol. 92(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Marina E Wosniack & Marcos C Santos & Ernesto P Raposo & Gandhi M Viswanathan & Marcos G E da Luz, 2017. "The evolutionary origins of Lévy walk foraging," PLOS Computational Biology, Public Library of Science, vol. 13(10), pages 1-31, October.
- E P Raposo & F Bartumeus & M G E da Luz & P J Ribeiro-Neto & T A Souza & G M Viswanathan, 2011. "How Landscape Heterogeneity Frames Optimal Diffusivity in Searching Processes," PLOS Computational Biology, Public Library of Science, vol. 7(11), pages 1-8, November.
- Nauta, Johannes & Simoens, Pieter & Khaluf, Yara, 2022. "Group size and resource fractality drive multimodal search strategies: A quantitative analysis on group foraging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
- Sepideh Bazazi & Frederic Bartumeus & Joseph J Hale & Iain D Couzin, 2012. "Intermittent Motion in Desert Locusts: Behavioural Complexity in Simple Environments," PLOS Computational Biology, Public Library of Science, vol. 8(5), pages 1-10, May.
- LaScala-Gruenewald, Diana E. & Mehta, Rohan S. & Liu, Yu & Denny, Mark W., 2019. "Sensory perception plays a larger role in foraging efficiency than heavy-tailed movement strategies," Ecological Modelling, Elsevier, vol. 404(C), pages 69-82.
- Toman, Kellan & Voulgarakis, Nikolaos K., 2022. "Stochastic pursuit-evasion curves for foraging dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
- Masato S Abe & Masakazu Shimada, 2015. "Lévy Walks Suboptimal under Predation Risk," PLOS Computational Biology, Public Library of Science, vol. 11(11), pages 1-16, November.
- Filippo Radicchi & Andrea Baronchelli & Luís A N Amaral, 2012. "Rationality, Irrationality and Escalating Behavior in Lowest Unique Bid Auctions," PLOS ONE, Public Library of Science, vol. 7(1), pages 1-8, January.
- Toru Nakamura & Toru Takumi & Atsuko Takano & Fumiyuki Hatanaka & Yoshiharu Yamamoto, 2013. "Characterization and Modeling of Intermittent Locomotor Dynamics in Clock Gene-Deficient Mice," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-8, March.
- Danish A. Ahmed & Sergei V. Petrovskii & Paulo F. C. Tilles, 2018. "The “Lévy or Diffusion” Controversy: How Important Is the Movement Pattern in the Context of Trapping?," Mathematics, MDPI, vol. 6(5), pages 1-27, May.
- Meron, Ehud, 2012. "Pattern-formation approach to modelling spatially extended ecosystems," Ecological Modelling, Elsevier, vol. 234(C), pages 70-82.
- King, Elizabeth G. & Franz, Trenton E., 2016. "Combining ecohydrologic and transition probability-based modeling to simulate vegetation dynamics in a semi-arid rangeland," Ecological Modelling, Elsevier, vol. 329(C), pages 41-63.
- Alexander Maye & Chih-hao Hsieh & George Sugihara & Björn Brembs, 2007. "Order in Spontaneous Behavior," PLOS ONE, Public Library of Science, vol. 2(5), pages 1-14, May.
- Toby A. Patterson & Alison Parton & Roland Langrock & Paul G. Blackwell & Len Thomas & Ruth King, 2017. "Statistical modelling of individual animal movement: an overview of key methods and a discussion of practical challenges," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 101(4), pages 399-438, October.
- Xiang Liu & Feicheng Ma, 2013. "Transfer and distribution of knowledge creation activities of bio-scientists in knowledge space," Scientometrics, Springer;Akadémiai Kiadó, vol. 95(1), pages 299-310, April.
- Shinohara, Shuji & Okamoto, Hiroshi & Manome, Nobuhito & Gunji, Pegio-Yukio & Nakajima, Yoshihiro & Moriyama, Toru & Chung, Ung-il, 2022. "Simulation of foraging behavior using a decision-making agent with Bayesian and inverse Bayesian inference: Temporal correlations and power laws in displacement patterns," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
- Pauline Formaglio & Marina E. Wosniack & Raphael M. Tromer & Jaderson G. Polli & Yuri B. Matos & Hang Zhong & Ernesto P. Raposo & Marcos G. E. Luz & Rogerio Amino, 2023. "Plasmodium sporozoite search strategy to locate hotspots of blood vessel invasion," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
- Qi, Jie & Rong, Zhihai, 2013. "The emergence of scaling laws search dynamics in a particle swarm optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1522-1531.
- Convertino, M., 2011. "Neutral metacommunity clustering and SAR: River basin vs. 2-D landscape biodiversity patterns," Ecological Modelling, Elsevier, vol. 222(11), pages 1863-1879.
- Tomassini, Marco, 2016. "Lévy flights in neutral fitness landscapes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 163-171.
More about this item
Keywords
Random search problem; Animal foraging behavior; Fractal search space; Lévy walks;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:391:y:2012:i:11:p:3234-3246. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.