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

James, Alex; Plank, Michael J.; Brown, Richard G.

doi:10.1103/physreve.78.051128

Cited by 72 publications

(70 citation statements)

References 20 publications

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“…First, we evaluated the hypothesis, characteristic of Lévy foraging behaviour, that ARS clusters would occur irrespective of the encounter of food. This hypothesis was contrasted against the alternative hypotheses that (i) ARS clusters would form only in response to food encounter, which is the premise underlying the composite Brownian walk, and that (ii) snails would move straight between food patches (ballistic search) [39,40]. Second, we tested if the ARS clusters showed a long-tailed size distribution irrespective of the landscape configuration.…”

Section: Introductionmentioning

confidence: 99%

Experimental evidence for inherent Lévy search behaviour in foraging animals

et al. 2015

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Recently, Lévy walks have been put forward as a new paradigm for animal search and many cases have been made for its presence in nature. However, it remains debated whether Lévy walks are an inherent behavioural strategy or emerge from the animal reacting to its habitat. Here, we demonstrate signatures of Lévy behaviour in the search movement of mud snails (Hydrobia ulvae) based on a novel, direct assessment of movement properties in an experimental set-up using different food distributions. Our experimental data uncovered clusters of small movement steps alternating with long moves independent of food encounter and landscape complexity. Moreover, size distributions of these clusters followed truncated power laws. These two findings are characteristic signatures of mechanisms underlying inherent Lévy-like movement. Thus, our study provides clear experimental evidence that such multi-scale movement is an inherent behaviour rather than resulting from the animal interacting with its environment.

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Section: Introductionmentioning

confidence: 99%

Experimental evidence for inherent Lévy search behaviour in foraging animals

et al. 2015

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“…In addition, for all cases the Lévy index plays a relevant role in the strategy; specifically, in the Lévy walk case (μ = 2 and SE = 4.10×10 −4 ) where long steps and less backtracking than Brownian random walk (μ = 3 and SE = 1.56 × 10 −4 ) is observed [1]. In contrast, using a ballistic motion (μ → 1) not necessarily implies a better efficiency as intermittent strategy (R1 SE = 1.87×10 −4 and R2 SE = 2.87×10 −4 ) shows, this is because in motion phases there is not any sensing action.…”

Section: Resultsmentioning

confidence: 96%

“…Theoretical arguments and numerical simulations suggest that (μ ≈ 2) is the optimal value for a search in any dimension and the solution to certain optimal foraging problems [1,2,3,4]. Figure 1b shows a plot of a simulated Lévy walk.…”

Section: Random Searchesmentioning

confidence: 99%

“…Several studies suggest that Brownian walks and Lévy walks are commonly used models to fit animal movement [1,2,3,4,5], these strategies represent the standard methods for exploring a given area where there is not available information about where targets are located; a target may be an abstraction from any particular object that must be collected by a random walker (in this study we will refer a random walker as a robotic agent).…”

Section: Introductionmentioning

confidence: 99%

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A Composite Random Walk for Facing Environmental Uncertainty and Reduced Perceptual Capabilities

Piña-García

2011

Intelligent Robotics and Applications

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Abstract. Theoretical and empirical studies in Biology have showed that strategies based on different random walks, such as: Brownian random walk and Lévy random walk are the best option when there is some degree of environmental uncertainty and there is a lack of perceptual capabilities.When a random walker has no information about where targets are located, different systematic or random searches may provide different chances to find them. However, when time consumption, energy cost and malfunction risks are determinants, an adaptive search strategy becomes necessary in order to improve the performance of the strategy. Thus, we can use a practical methodology to combine a systematic search with a random search through a biological fluctuation.We demonstrate that, in certain environments it is possible to combine a systematic search with a random search to optimally cover a given area. Besides, this work improves the search performance in comparison with pure random walks such as Brownian walk and Lévy walk. We show these theoretical results using computer simulations.

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“…A importante e relevante mensagem aqui é o sempre superior desempenho da estratégia LR sobre as outras duas estratégias, dada pela relação linear obtida. Não só no cenário aqui testado a LR tem melhor desempenho, mas também tem melhor desempenho em outros cenários teóricos Bénichou et al 2006;James et al 2008;Reynolds e Bartumeus, 2009). Além disso, num estudo de campo, machos de cascavéis que executam mais movimentos em linha reta acasalam com mais fêmeas do que aqueles que executam trajetórias mais tortuosas (Duvall e Schuett 1997).…”

Section: Resultsunclassified

Modelos de estratégia de busca: será o passeio de Lévy a solução?

Marques¹,

Chauí-Berlink²

2014

revbio

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Recebido 15fev12Aceito 23jul12 Publicado 30jul14Resumo. Na natureza, muitos animais lidam com o problema de encontrar parceiros, comida e abrigo. A estratégia de busca que orienta um organismo pode revelar aspectos importantes do seu comportamento, então, modelos são propostos para tratar deste problema. O passeio de Lévy é o modelo mais discutido, possui algum suporte empírico. Nosso objetivo foi comparar deslocamentos em linha reta com o passeio de Lévy e o movimento Browniano, considerando sobrevivência e probabilidade de recompensa. Os resultados mostram o deslocamento em linha reta com desempenho superior nos ambientes que criamos. Discutimos que a estratégia linha reta deveria ser considerada a mais provável estratégia de busca considerando os argumentos que dão suporte ao passeio de Lévy, contudo, ela não é vista como estratégia. Palavras-chave. Simulação numérica; Modelo baseado no indivíduo; Forrageio.Abstract. In nature, many organisms must cope with the problem of finding mates, food and shelter. The strategy of search that drives an organism can reveal important aspects of its behavior; models have been proposed to address this problem. Lévy walk is the most discussed model and it has some empirical support. Our aim was to compare straight line displacements against Lévy walk and Brownian motion in terms of survival and probability of reward. Our results show that straight line displacements have better performance in all environments we created. We discuss that straight line movements should be considered more probable as a search strategy considering the arguments that support Lévy walk, however, it is not seen like a strategy. Keywords. Numeric simulation; Individual-based model; Foraging. ArtigoQualquer organismo possui reserva energética limitada que é continuamente consumida. Para manter essa reserva dentro de limites adequados para a sobrevivência, muitos organismos necessitam buscar por fontes de energia.Memória, pistas e referências espaciais são muito importantes durante o forrageio (Brown et al. 1997;Howery et al. 2000; Warburton e Mason 2003; Saleh e Chittka 2007), pois indicam regiões com maior probabilidade de ter alimento. Contudo, as pistas não estão sempre localizadas no raio de detecção do organismo e nem sempre há alimento em lugares já visitados. Nessas circunstâncias, a busca por novas fontes de energia pode ser uma tarefa desafiadora e boas estratégias podem aumentar as chances de localizar alimento.Conhecer essas estratégias pode revelar detalhes importantes do comportamento do animal e de sua relação com o ambiente. Descrevê-las é uma tarefa quantitativa e, por vezes, controversa, como veremos adiante.A partir de dados empíricos, são desenvolvidos ou adotados modelos teóricos que tratam da maneira com a qual os animais se deslocam no ambiente durante o forrageio. A relevância de um ou outro modelo está relacionada com sua capacidade de mimetizar a movimentação real dos animais e, além disso, ser eficiente no que se diz respeito à busca-oferecer boas chances de se encontrar o a...

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

Cited by 72 publications

References 20 publications

Experimental evidence for inherent Lévy search behaviour in foraging animals

Experimental evidence for inherent Lévy search behaviour in foraging animals

A Composite Random Walk for Facing Environmental Uncertainty and Reduced Perceptual Capabilities

Modelos de estratégia de busca: será o passeio de Lévy a solução?

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