PMCID: PMC3592844This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited

A James

A Mashanova

Aleksei V. Chechkin

AM Edwards

AM Reynolds

B Lindner

C Hawkes

Christof Markus Aegerter

DW Sims

E Kai

EA Codling

F Bartumeus

F Lenz

F Peruani

Friedrich Lenz

GM Viswanathan

L Giuggioli

M Ragwitz

MC Santos

MJ Plank

NE Humphries

O Bénichou

O Miramontes

P Bovet

P Dieterich

P Romanczuk

PM Kareiva

R Friedrich

Rainer Klages

S Benhamou

S Petrovskii

TC Ings

PLoS ONE

English

arXiv

Crossref

Constructing a Stochastic Model of Bumblebee Flights from Experimental Data

Lenz Friedrich

Chechkin Aleksei V.

Klages Rainer

Public Library of Science (PLOS)

Lenz, F

Chechkin, AV

Klages, R

Queen Mary Research Online

Active Brownian particles from individual to collective stochastic dynamics.

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

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Brownian motion with active fluctuations.

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Codling EA

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Efficient or inaccurate? Analytical and numerical modelling of random search strategies.

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How many animals really do the Le´vy walk?

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Indispensable finite time corrections for FokkerPlanck equations from time series data.

Intermittent search strategies.

Le´vy flight and Brownian search patterns of a free-ranging predator reflect different prey field characteristics.

Le´vy flight search patterns of wandering albatrosses.

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Optimizing the success of random searches.

Overturning conclusions of Le´vy flight movement patterns by fishing boats and foraging animals.

Predator crypsis enhances behaviourally mediated indirect effects on plants by altering bumblebee foraging preferences.

Revisiting Le´vy flight search patterns of wandering albatrosses, bumblebees and deer.

Sampling rate effects on measurements of correlated and biased random walks.

Self-propelled particles with fluctuating speed and direction of motion in two dimensions.

Spatial-Analysis of Animals Movements Using a Correlated Random Walk Model.

Spatiotemporal dynamics of bumblebees foraging under predation risk. Phys Rev Lett 108:

Speed-accuracy tradeoffs and false alarms in bee responses to cryptic predators.

The effects of spatially heterogeneous prey distributions on detection patterns in foraging seabirds.

The Fokker-Planck Equation: Methods of Solution and Applications.

The influence of turning angles on the success of non-oriented animal searches.

Top marine predators track Lagrangian coherent structures.

Two-dimensional intermittent search processes: An alternative to Le´vy flight strategies.

The movement of organisms is subject to a multitude of influences of widely varying character: from the bio-mechanics of the individual, over the interaction with the complex environment many animals live in, to evolutionary pressure and energy constraints. As the number of factors is large, it is very hard to build comprehensive movement models. Even when movement patterns in simple environments are analysed, the organisms can display very complex behaviours. While for largely undirected motion or long observation times the dynamics can sometimes be described by isotropic random walks, usually the directional persistence due to a preference to move forward has to be accounted for, e.g., by a correlated random walk. In this paper we generalise these descriptions to a model in terms of stochastic differential equations of Langevin type, which we use to analyse experimental search flight data of foraging bumblebees. Using parameter estimates we discuss the differences and similarities to correlated random walks. From simulations we generate artificial bumblebee trajectories which we use as a validation by comparing the generated ones to the experimental data

Aleksei V Chechkin

Directory of Open Access Journals

Constructing a stochastic model of bumblebee flights from experimental data.

Lenz, F.

Chechkin, A.

Klages, R.

MPG.PuRe

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Constructing a Stochastic Model of Bumblebee Flights from Experimental Data

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Crossref

Public Library of Science (PLOS)

Queen Mary Research Online

Directory of Open Access Journals

MPG.PuRe

Public Library of Science (PLOS)

MPG.PuRe