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Skip to Search Results- 6Jonathan R. Potts
- 6Mark A. Lewis
- 2Valeria Giunta
- 1Dennis L. Murray
- 1Guillaume Bastille-Rousseau
- 1James A. Schaefer
- 2Animal movement
- 2Mathematical ecology
- 2animal movement
- 2partial differential equations
- 2territoriality
- 1Advection–diffusion
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2014-01-01
Jonathan R. Potts, Karl Mokross, Mark A. Lewis
Collective phenomena, whereby agent –agent interactions determine spatial patterns, are ubiquitous in the animal kingdom. On the other hand, movement and space use are also greatly influenced by the interactions between animals and their environment. Despite both types of interaction...
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Beyond resource selection: emergent spatio–temporal distributions from animal movements and stigmergent interactions
Download2022-01-01
Jonathan R. Potts, Valeria Giunta, Mark A. Lewis
A principal concern of ecological research is to unveil the causes behind observed spatio–temporal distributions of species. A key tactic is to correlate observed locations with environmental features, in the form of resource selection functions or other correlative species distribution models....
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Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species
Download2022-06-13
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...
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2016-01-01
Jonathan R. Potts, Mark A. Lewis
Mechanistic home range analysis (MHRA) is a highly effective tool for understanding spacing patterns of animal populations. It has hitherto focused on populations where animals defend their territories by communicating indirectly, e.g. via scent marks. However, many animal populations defend...
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Spatial scales of habitat selection decisions: implications for telemetry-based movement modeling
Download2017-04-01
Guillaume Bastille-Rousseau, Dennis L. Murray, James A. Schaefer, Mark A. Lewis, Shane P. Mahoney, Jonathan R. Potts
Movement influences a myriad of ecological processes operating at multiple spatial and temporal scales. Yet our understanding of animal movement is limited by the resolution of data that can be obtained from individuals. Traditional approaches implicitly assume that movement decisions are made at...
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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...