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Skip to Search Results- 15Animal movement
- 3Generalized linear mixed model
- 3Mathematical ecology
- 3Partial differential equations
- 2Advection–diffusion
- 2Mechanistic models
- 11Biological Sciences, Department of
- 11Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 6Graduate and Postdoctoral Studies (GPS), Faculty of
- 6Graduate and Postdoctoral Studies (GPS), Faculty of/Theses and Dissertations
- 4Mathematical and Statistical Sciences, Department of
- 4Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 1Boutin, Stan (Biological Sciences)
- 1De Vries, Gerda (Mathematical and Statistical Sciences)
- 1Dr. Erin Bayne - Department of Biological Sciences
- 1Dr. Troy Wellicome - Department of Biological Sciences
- 1Huang, Biao (Chemical and Materials Engineering)
- 1Lewis, Mark (Mathematical and Statistical Sciences)
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Fall 2015
The boreal ecotype of woodland caribou (Rangifer tarandus caribou) is federally listed as Threatened due to population declines throughout its distribution. High mortality rates of neonate calves (≤ 4 weeks old) due to predation are a key demographic factor contributing to population declines...
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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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Modelling process dynamics by the discovery of partial differential equations using a data-driven and hybrid modelling approach
DownloadFall 2021
The abundance of data and advances in data acquisition technologies have made data-driven approaches attractive to solve a multitude of problems. Differential equations deliver underlying models for most physical processes. Obtaining the fundamental physics underlying any data in the form of...
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Fall 2015
Movement ecology thrives from a successful synergy of data and models. In a field where experiments are difficult or impossible, linking field data with mathematical and statistical models allows us to test hypotheses and increase our quantitative understanding of movement processes. Owing to...
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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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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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2010
Rosychuk, Rhonda J., Torabi, Mahmoud
This paper studies generalized linear mixed models (GLMMs) for the analysis of geographic and temporal variability of disease rates. This class of models adopts spatially correlated random effects and random temporal components. Spatio-temporal models that use conditional autoregressive smoothing...