# Analyzing insect movement as a correlated random walk

@article{Kareiva2004AnalyzingIM, title={Analyzing insect movement as a correlated random walk}, author={P. Kareiva and Nanako Shigesada}, journal={Oecologia}, year={2004}, volume={56}, pages={234-238} }

SummaryThis paper develops a procedure for quantifying movement sequences in terms of move length and turning angle probability distributions. By assuming that movement is a correlated random walk, we derive a formula that relates expected square displacements to the number of consecutive moves. We show this displacement formula can be used to highlight the consequences of different searching behaviors (i.e. different probability distributions of turning angles or move lengths). Observations of… Expand

#### 662 Citations

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

- Mathematics, Medicine
- Journal of The Royal Society Interface
- 2010

It is shown that autcorrelation inevitably leads to Lévy walk (LW) movement patterns on timescales less than the autocorrelation timescale. Expand

Lévy or not? analysing positional data from animal movement paths

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The Levy walk hypothesis asserts that the optimal search strategy for a forager under specific conditions is to make successive movement steps that have uniformly random directions and lengths drawn… Expand

A random walk description of individual animal movement accounting for periods of rest

- Mathematics, Medicine
- Royal Society Open Science
- 2016

A composite stochastic process where the periods of active dispersal or ‘bouts’ alternate with periods of immobility is considered, and it is shown that in the large-time asymptotics the effect of rests results in a rescaling of the diffusion coefficient. Expand

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- Computer Science
- 2005

This work analyzes the statistical differences between two random-walk models commonly used to fit animal movement data, the Levy walks and the correlated random walks, and quantifies their efficiencies within a random search context. Expand

Analysis of juvenile tuna movements as correlated random walk

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- Fisheries Science
- 2011

We explore how a stochastic model provides the most promising avenue towards predicting fish movement. To construct a stochastic model describing fish movement, trajectories of ten juveniles in a… Expand

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- Biology, Mathematics
- 2020

This study considers three types of shape of 3D traps, which are commonly used in ecological field studies; a spheroidal trap, a cylindrical trap and a rectangular cuboidal trap, and investigates the effect of3D trap shapes and sizes and of movement diffusion on trapping efficiency. Expand

Random walk analysis of ranging patterns of sympatric langurs in a complex resource landscape

- Biology, Medicine
- American journal of primatology
- 2013

The identification of random walk models to characterize the movement patterns of social groups of primates, and the behavioral processes that give rise to such movement patterns, remain open… Expand

Fundamental Insights into the Random Movement of Animals from a Single Distance‐Related Statistic

- Biology, Medicine
- The American Naturalist
- 2009

The model and methodology presented here not only allow the determination of what were previously viewed as independent aspects of animal movements, such as the distribution of angular changes in direction, but also may open up a new set of questions concerning animal movement and related phenomena. Expand

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- Biology, Medicine
- PloS one
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A model in terms of stochastic differential equations of Langevin type is used to analyse experimental search flight data of foraging bumblebees and the differences and similarities to correlated random walks are discussed. Expand

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- Mathematics
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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The random search problem has long attracted continuous interest owing to its broad interdisciplinary range of applications, including animal foraging, facilitated target location in biological… Expand

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