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Skip to Search Results- 11Animal movement
- 4Mechanistic models
- 3Mathematical ecology
- 2Advection–diffusion
- 2Partial differential equations
- 2Population dynamics
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A mechanistic model for understanding invasions: using the environment as a predictor of population success
Download2011-01-01
DiBacco, C., Lewis, Mark A., Strasser, C. A.
Aim We set out to develop a temperature-and salinity-dependent mechanistic population model for copepods that can be used to understand the role of environmental parameters in population growth or decline. Models are an important tool for understanding the dynamics of invasive species; our model...
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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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2016-09-01
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....
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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...
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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...
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Predicting local and nonlocal effects of resources on animal space use using a mechanistic step-selection function.
Download2013
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...
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2010
Thiemann, G. W., Molnár, P. K., Derocher, A. E., Lewis, M. A.
Polar bear (Ursus maritimus) populations are predicted to be negatively affected by climate warming, but the timeframe and manner in which change to polar bear populations will occur remains unclear. Predictions incorporating climate change effects are necessary for proactive population...
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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...
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State-space models link elk movement patterns to landscape characteristics in Yellowstone National Park
Download2007
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...
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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...