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How superdiffusion gets arrested: ecological encounters explain shift from Lévy to Brownian movement

Ecological encounters explain shift from Lévy to Brownian movement
Authors: de Jager, M.; Bartumeus, F.; Kölzsch, A.; Weissing, F.J.; Hengeveld, G.M.; Nolet, B.A.; Herman, P.M.J.; +1 Authors

How superdiffusion gets arrested: ecological encounters explain shift from Lévy to Brownian movement

Abstract

Ecological theory uses Brownian motion as a default template for describing ecological movement, despite limited mechanistic underpinning. The generality of Brownian motion has recently been challenged by empirical studies that highlight alternative movement patterns of animals, especially when foraging in resource-poor environments. Yet, empirical studies reveal animals moving in a Brownian fashion when resources are abundant. We demonstrate that Einstein's original theory of collision-induced Brownian motion in physics provides a parsimonious, mechanistic explanation for these observations. Here, Brownian motion results from frequent encounters between organisms in dense environments. In density-controlled experiments, movement patterns of mussels shifted from Lévy towards Brownian motion with increasing density. When the analysis was restricted to moves not truncated by encounters, this shift did not occur. Using a theoretical argument, we explain that any movement pattern approximates Brownian motion at high-resource densities, provided that movement is interrupted upon encounters. Hence, the observed shift to Brownian motion does not indicate a density-dependent change in movement strategy but rather results from frequent collisions. Our results emphasize the need for a more mechanistic use of Brownian motion in ecology, highlighting that especially in rich environments, Brownian motion emerges from ecological interactions, rather than being a default movement pattern.

Countries
Netherlands, Germany, Switzerland
Keywords

DYNAMICS, predators, walks evolve, Mytilus edulis, Movement, Population Dynamics, Environment, Levy walk, flight search patterns, MUSSELS, Resource density, search efficiency, Animals, PREDATORS, Brownian motion; Levy walk; Animal movement; Mytilus edulis; Search efficiency; Resource density, success, POWER-LAW DISTRIBUTIONS, Animal movement, Research Articles, Ecosystem, Mytilus edulis, Lévy walk, Brownian motion, resource density, search efficiency, animal movement, info:eu-repo/classification/ddc/570, Population Density, Behavior, Animal, ANIMALS, SUCCESS, dynamics, Lévy walk, environmental complexity, animal movement, Bivalvia, animals, mussels, resource density, power-law distributions, international, Search efficiency, ENVIRONMENTAL COMPLEXITY, WALKS EVOLVE, ddc:570, Brownian motion, FLIGHT SEARCH PATTERNS

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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