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Skip to Search Results- 15Animal movement
- 5Mechanistic models
- 3Mathematical ecology
- 2Advection–diffusion
- 2Movement ecology
- 2Partial differential equations
- 13Biological Sciences, Department of
- 13Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 5Graduate and Postdoctoral Studies (GPS), Faculty of
- 5Graduate and Postdoctoral Studies (GPS), Faculty of/Theses and Dissertations
- 5Mathematical and Statistical Sciences, Department of
- 5Mathematical 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
- 1Leung, Juliana (Department of Civil and Environmental Engineering)
- 1Lewis, Mark (Mathematical and Statistical Sciences)
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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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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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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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Numerical Investigation of Water Loss Mechanisms During Hydraulic Fracturing Flow-Back Operation in Tight Oil Reservoirs
DownloadSpring 2016
Multi-stage hydraulic fracturing is widely applied in tight reservoir exploitation. Production is enhanced significantly if hydraulic fractures can connect to regions with enhanced permeability due to the presence of micro (and induced) fractures. However, less than 50% of fracturing fluids are...
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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...