L�vy walk patterns in the foraging movements of spider monkeys (Ateles geoffroyi)

Ramos‐Fernández, Gabriel; Mateos, José L.; Miramontes, Octavio; Cocho, G.; Larralde, Hernán; Ayala-Orozco, Bárbara

doi:10.1007/s00265-003-0700-6

Cited by 396 publications

(86 citation statements)

References 30 publications

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“…In the case of long-distance correlations that are characterized by power laws, the MSD grows faster, and the exponent value can be estimated as a slope of the MSD on a double-log scale (e.g. Ramos-Fernandes et al 2004). In black bean aphids, a power law relationship between MSD and time was found for the time intervals up to about 20 s, which is indicated by a straight line when plotted on the double-log scales ( figure 3a).…”

Section: Resultsmentioning

confidence: 99%

Evidence for intermittency and a truncated power law from highly resolved aphid movement data

Mashanova

Oliver

Jansen

2009

J. R. Soc. Interface.

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Power laws are increasingly used to describe animal movement. Despite this, the use of power laws has been criticized on both empirical and theoretical grounds, and alternative models based on extensions of conventional random walk theory (Brownian motion) have been suggested. In this paper, we analyse a large volume of data of aphid walking behaviour (65 068 data points), which provides a highly resolved dataset to investigate the pattern of movement. We show that aphid movement is intermittent-with alternations of a slow movement with frequent change of direction and a fast, relatively directed movement-and that the fast movement consists of two phases-a strongly directed phase that gradually changes into an uncorrelated random walk. By measuring the mean-squared displacement and the duration of non-stop movement episodes we found that both spatial and temporal aspects of aphid movement are best described using a truncated power law approach. We suggest that the observed spatial pattern arises from the duration of non-stop movement phases rather than from correlations in turning angles. We discuss the implications of these findings for interpreting movement data, such as distinguishing between movement and non-movement, and the effect of the range of data used in the analysis on the conclusions.

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Section: Resultsmentioning

confidence: 99%

Evidence for intermittency and a truncated power law from highly resolved aphid movement data

Mashanova

Oliver

Jansen

2009

J. R. Soc. Interface.

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“…The monkeys do not generally continue in the same ranging direction after exploiting a resource: travel paths are likely to deviate at the site of resource exploitation rather than between such sites [49]. Ramos-Fernández et al [29] reported that a power-law with m % 2 provides a good fit to the distribution of distances travelled by spider monkeys between successive foraging bouts. Each of these observations is consistent with model expectations and with the emergence of LW with m ¼ 2.…”

Section: Discussionmentioning

confidence: 99%

“…These marine predators feed on patchily distributed prey. Spider monkeys (Ateles geoffroyi), fruit flies (Drosophila), microzooplankton (Oxyrrhis marina), and bacteria (Escherichia coli) appear to use the same movement strategy when foraging [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

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

Reynolds

2012

J. R. Soc. Interface.

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Optimal foraging theory shows how fitness-maximizing foragers can use information about patch quality to decide how to search within patches. It is amply supported by empirical studies. Nonetheless, the theory largely ignores the fact that foragers may need to search for patches as well as for the targets within them. Here, using an exact but simple mathematical argument, it is shown how foragers can use information about patch quality to facilitate the execution of Lévy walk movement patterns with m ¼ 2 at inter-patch scales. These movement patterns are advantageous when searching for patches that are not depleted or rejected once visited but instead remain profitable. The analytical results are verified by the results of numerical simulations. The findings bring forth an innovative theoretical synthesis of searching for and within patches and, suggest that foragers' memories may be adaptive under spatially heterogeneous reward schedules.

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“…Since human dispersal was able to be tracked at the level of individuals (Brockmann et al, 2006;Eagle and Pentland, 2006) it has been found that our trajectories are similar to those of animals such as albatrosses (Viswanathan et al, 1996), monkeys (Ramos-Fernández et al, 2004), and a range of marine predators (Sims et al, 2008). All of these studies showed that trajectories are approximated by a Levy flight-a random walk for which step size follows a power-law distribution (y = x −k ) with the FIGURE 2 | Comparison of output from animal movement and human mobility research.…”

Section: Technology As a Driver For The Development Of Tracking Animamentioning

confidence: 97%

How Big Data Fast Tracked Human Mobility Research and the Lessons for Animal Movement Ecology

et al. 2018

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The rise of the internet coupled with technological innovations such as smartphones have generated massive volumes of geo-referenced data (big data) on human mobility. This has allowed the number of studies of human mobility to rapidly overtake those of animal movement. Today, telemetry studies of animals are also approaching big data status. Here, we review recent advances in studies of human mobility and identify the opportunities they present for advancing our understanding of animal movement. We describe key analytical techniques, potential bottlenecks and a roadmap for progress toward a synthesis of movement patterns of wild animals.

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L�vy walk patterns in the foraging movements of spider monkeys (Ateles geoffroyi)

Cited by 396 publications

References 30 publications

Evidence for intermittency and a truncated power law from highly resolved aphid movement data

Evidence for intermittency and a truncated power law from highly resolved aphid movement data

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

How Big Data Fast Tracked Human Mobility Research and the Lessons for Animal Movement Ecology

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