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 o...
Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions betw...
Many empirical and theoretical studies indicate that Brownian motion and diffusion models as its mea...
Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions betw...
Ecological theory uses Brownian motion as a default template for describing ecological movement, des...
Ecological theory uses Brownian motion as a default template for describing ecological movement, des...
Ecological theory uses Brownian motion as a default template for describing ecological movement, des...
Rate limitation due to encounters is fundamental to many ecological interactions. Since encounter ra...
The origin of fractal patterns is a fundamental problem in many areas of science. In ecological syst...
Summary: 1. Characterization of patterns of animal movement is a major challenge in ecology with app...
Ecological theory predicts that animal movement is shaped by its efficiency of resource acquisition....
Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions betw...
Peculiarities of individual animal movement and dispersal have been a major focus of recent research...
Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions betw...
Many empirical and theoretical studies indicate that Brownian motion and diffusion models as its mea...
Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions betw...
Ecological theory uses Brownian motion as a default template for describing ecological movement, des...
Ecological theory uses Brownian motion as a default template for describing ecological movement, des...
Ecological theory uses Brownian motion as a default template for describing ecological movement, des...
Rate limitation due to encounters is fundamental to many ecological interactions. Since encounter ra...
The origin of fractal patterns is a fundamental problem in many areas of science. In ecological syst...
Summary: 1. Characterization of patterns of animal movement is a major challenge in ecology with app...
Ecological theory predicts that animal movement is shaped by its efficiency of resource acquisition....
Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions betw...
Peculiarities of individual animal movement and dispersal have been a major focus of recent research...
Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions betw...
Many empirical and theoretical studies indicate that Brownian motion and diffusion models as its mea...
Many ecosystems develop strikingly regular spatial patterns because of small-scale interactions betw...