Active Brownian particles: From individual to collective stochastic dynamics

P Romanczuk, M Bär, W Ebeling, B Lindner… - The European Physical …, 2012 - Springer
We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

Lévy flights and superdiffusion in the context of biological encounters and random searches

GM Viswanathan, EP Raposo, MGE Da Luz - Physics of Life Reviews, 2008 - Elsevier
We review the general problem of random searches in the context of biological encounters.
We analyze deterministic and stochastic aspects of searching in general and address the …

A novel method for identifying behavioural changes in animal movement data

E Gurarie, RD Andrews, KL Laidre - Ecology letters, 2009 - Wiley Online Library
A goal of animal movement analysis is to reveal behavioural mechanisms by which
organisms utilize complex and variable environments. Statistical analysis of movement data …

The accuracy of Fastloc‐GPS locations and implications for animal tracking

AM Dujon, RT Lindstrom… - Methods in Ecology and …, 2014 - Wiley Online Library
Over recent years, a major breakthrough in marine animal tracking has occurred with the
advent of Fastloc‐GPS that provides highly accurate location data even for animals that only …

The Lévy flight paradigm: random search patterns and mechanisms

AM Reynolds, CJ Rhodes - Ecology, 2009 - Wiley Online Library
Over recent years there has been an accumulation of evidence from a variety of
experimental, theoretical, and field studies that many organisms use a movement strategy …

Understanding movements of organisms: it's time to abandon the Lévy foraging hypothesis

GH Pyke - Methods in Ecology and Evolution, 2015 - Wiley Online Library
Interest in L évy walks within the context of movement of organisms has recently soared, with
some now referring to this approach as the L évy walk/flight paradigm. The principal …

Fractal reorientation clocks: Linking animal behavior to statistical patterns of search

F Bartumeus, SA Levin - Proceedings of the National …, 2008 - National Acad Sciences
The movement ecology framework depicts animal movement as the result of the combined
effects of internal and external constraints on animal navigation and motion capacities …

[HTML][HTML] The evolutionary origins of Lévy walk foraging

ME Wosniack, MC Santos, EP Raposo… - PLoS computational …, 2017 - journals.plos.org
We study through a reaction-diffusion algorithm the influence of landscape diversity on the
efficiency of search dynamics. Remarkably, the identical optimal search strategy arises in a …

Logging, linear features, and human infrastructure shape the spatial dynamics of wolf predation on an ungulate neonate

SM Johnson‐Bice, TD Gable, AT Homkes… - Ecological …, 2023 - Wiley Online Library
Humans are increasingly recognized as important players in predator–prey dynamics by
modifying landscapes. This trend has been well‐documented for large mammal …

Towards a general formalization of encounter rates in ecology

E Gurarie, O Ovaskainen - Theoretical ecology, 2013 - Springer
Although encounters between organisms are fundamental to many ecological processes, a
general theory of encounters that accounts for random movements and probabilistic events …