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2022-06-13

Valeria Giunta, Thomas Hillen, Mark A. Lewis, Jonathan R. Potts

Deriving emergent patterns from models of biological processes is a core concern of mathematical biology. In the context of partial differential equations, these emergent patterns sometimes appear as local minimisers of a corresponding energy functional. Here we give methods for determining the...

2016-09-01

Auger‐Méthé, Marie, Derocher, Andrew E, DeMars, Craig A, Plank, Michael J, Codling, Edward A., Lewis, Mark A, Fryxell, John

Searching allows animals to find food, mates, shelter and other resources essential for survival and reproduction and is thus among the most important activities performed by animals. Theory predicts that animals will use random search strategies in highly variable and unpredictable environments....

2011

St. Clair, C. C., Beyer, H. L., Gillies, C. S.

The persistence of forest-dependent species in fragmented landscapes is fundamentally linked to the movement of individuals among subpopulations. The paths taken by dispersing individuals can be considered a series of steps built from individual route choices. Despite the importance of these...

1999

Crabtree, R., Lewis, M. A., Moorcroft, P. R.

The traditional models used to characterize animal home ranges have no mechanistic basis underlying their descriptions of space use, and as a result, the analysis of animal home ranges has primarily been a descriptive endeavor. In this paper, we characterize coyote (Canis latrans) home range...

2013

Schaefer, J., Bastille-Rousseau, G., Murray, D., Lewis, M.A., Potts, J.R.

Predicting space use patterns of animals from their interactions with the environment is fundamental for understanding the effect of habitat changes on ecosystem functioning. Recent attempts to address this problem have sought to unify resource selection analysis, where animal space use is...

2019-06-04

Jonathan R. Potts, Mark A. Lewis

Mathematical models of spatial population dynamics typically focus on the interplay between dispersal events and birth/death processes. However, for many animal communities, significant arrangement in space can occur on shorter timescales, where births and deaths are negligible. This phenomenon...

2007

Smith, D. W., Anderson, D. P., Ives, A. R., Turner, M. G., Beyer, H. L., Boyce, M. S., Forester, J. D., Fortin, D.

Explaining and predicting animal movement in heterogeneous landscapes remains challenging. This is in part because movement paths often include a series of short, localized displacements separated by longer-distance forays. This multiphasic movement behavior reflects the complex response of an...

2017-11-25

Juliana M. Berbert, Mark A. Lewis

Animal search patterns are governed by the various movement strategies undertaken when animals encounter stimuli. The stimuli caused by resource growth and depletion can modify search patterns due to the need to finding resources. In this paper, we investigate the influence of resource depletion...

2015-01-01

Jonathan R. Potts, Mark A. Lewis

Territoriality is a phenomenon exhibited throughout nature. On the individual level, it is the processes by which organisms exclude others of the same species from certain parts of space. On the population level, it is the segregation of space into separate areas, each used by subsections of the...

2016-01-01

Jonathan R. Potts, Thomas Hillen, Mark A. Lewis

Edge effects have been observed in a vast spectrum of animal populations. They occur where two conjoining habitats interact to create ecological phenomena that are not present in either habitat separately. On the individuallevel, an edge effect is a change in behavioral tendency on or near the...