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Random walk models in biology
Mathematical modelling of the movement of animals, micro-organisms and cells is of great relevance in the fields of biology, ecology and medicine. Movement models can take many different forms, butExpand
How to reliably estimate the tortuosity of an animal's path: straightness, sinuosity, or fractal dimension?
  • S. Benhamou
  • Mathematics, Medicine
  • Journal of theoretical biology
  • 21 July 2004
The tortuosity of an animal's path is a key parameter in orientation and searching behaviours. The tortuosity of an oriented path is inversely related to the efficiency of the orientation mechanismExpand
How many animals really do the Lévy walk?
  • S. Benhamou
  • Computer Science, Medicine
  • Ecology
  • 1 August 2008
Lévy walks are superdiffusive and scale-free random walks that have recently emerged as a new conceptual tool for modeling animal search paths. Expand
Dynamic Approach to Space and Habitat Use Based on Biased Random Bridges
Background Although habitat use reflects a dynamic process, most studies assess habitat use statically as if an animal's successively recorded locations reflected a point rather than a movementExpand
Animal movements in heterogeneous landscapes: identifying profitable places and homogeneous movement bouts.
We propose a new, easy-to-use method to identify intensively used areas based on the time spent in the vicinity of successive path locations. Expand
Memory keeps you at home: a mechanistic model for home range emergence
Despite its central place in animal ecology no general mechanistic movement model with an emergent home-range pattern has yet been proposed. Random walk models, which are commonly used to modelExpand
Spatial analysis of animals' movements using a correlated random walk model*
A probabilistic model was developed that applies to the analysis of erratic movements made by animals foraging in a stochastic environment. This model is a first order correlated random walk model inExpand
Efficiency of area-concentrated searching behaviour in a continuous patchy environment*
In many natural situations involving terrestrial predators, prey items are clustered in patches that have no perceptible boundaries and can only be defined as areas where the local resource densityExpand
Place navigation in the rat is based on an allocentric localization process in which places are recognized in reference to the surrounding environment. However, the nature of the spatial informationExpand
Spatio‐temporal sharing between the European wildcat, the domestic cat and their hybrids
The European wildcat Felis silvestris silvestris, which can hybridize with the domestic cat Felis catus to produce fertile hybrids, is threatened by hybridization. To identify the behaviouralExpand