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Skip to Search Results- 52Lewis, Mark A.
- 6Derocher, Andrew E.
- 6Krkošek, Martin
- 5Peacock, Stephanie J.
- 4Auger-Méthé, Marie
- 4Lutscher, F.
- 52Biological Sciences, Department of
- 48Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 48Mathematical and Statistical Sciences, Department of
- 48Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 4Biological Sciences, Department of/Research Data and Materials (Biological Sciences)
- 1The NSERC TRIA Network (TRIA-Net)
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Differentiating the Lévy walk from a composite correlated random walk - Code
2015
Lewis, Mark A., Auger-Méthé, Marie, Plank, Michael J., Codling, Edward A., Derocher, Andrew E.
Source code for an R package that can be used to simulate and apply various search strategy models to movement data. This is the code used in the manuscript entitled: Differentiating the Lévy walk from a composite correlated random walk. See https://github.com/MarieAugerMethe/CCRWvsLW for any...
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Differentiating the Lévy walk from a composite correlated random walk - Data
2015
Lewis, Mark A., Auger-Méthé, Marie, Plank, Michael J., Codling, Edward A., Derocher, Andrew E.
This the data associated with the manuscript entitled: Differentiating the Lévy walk from a composite correlated random walk. It is the step lengths and turning angles of two bears collared in the Hudson Bay. The data is the step length and turning angle measured at regular time intervals (every...
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Dispersal, Population Growth, and the Allee Effect: Dynamics of the House Finch Invasion of Eastern North America
Download1996-01-01
Since about 1940, when they were first released in the new York City area, house finches (Carpodacus mexicanus) have multiplied explosively and colonized much of eastern North America. We take advantage of the richly detailed documentation of this biological invasion to construct a mathematical...
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2012-02-24
Ecological systems are complex. All too often, complex models are fit to ecological data without consideration of whether parameters are estimable. I present a recent example for a parasite transmission model tracking the diffusion of sea lice from salmon farms in coastal British Columbia, fit...
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1995-01-01
Sherratt, J. A., Lewis, Mark A., Fowler, A. C.
Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reaction-diffusion models for predator-prey interactions. The chaos is...
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2006-01-01
McCauley, E., Lewis, Mark A., Lutscher, F.
The question how aquatic populations persist in rivers when individuals are constantly lost due to downstream drift has been termed the “drift paradox.” Recent modeling approaches have revealed diffusion-mediated persistence as a solution. We study logistically growing populations with and...
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Empirical estimation of R0 for unknown transmission functions: The case of chronic wasting disease in Alberta
Download2015-01-01
Potapov, Alex, Merrill, Evelyn, Pybus, Margo, Lewis, Mark A.
We consider the problem of estimating the basic reproduction number R0 from data on prevalence dynamics at the beginning of a disease outbreak. We derive discrete and continuous time models, some coefficients of which are to be fitted from data. We show that prevalence of the disease is...
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2011
Hilborn, Ray, Ford, Jennifer S., Peacock, Stephanie, Dill, Lawrence M., Morton, Alexandra, Krkosek, Martin, Connors, Brendan, Lewis, Mark A., Volpe, John P., Mages, Paul, Ford, Helen
For some salmon populations, the individual and population effects of sea lice (Lepeophtheirus salmonis) transmission from sea cage salmon farms is probably mediated by predation, which is a primary natural source of mortality of juvenile salmon. We examined how sea lice infestation affects...
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2015-01-01
Bateman, Andrew W., Neubert, Michael G., Krkošek, Martin, Lewis, Mark A.
Some of the most fundamental quantities in population ecology describe the growth and spread of populations. Population dynamics are often characterized by the annual rate of increase, λ, or the generational rate of increase, R0. Analyses involving R0 have deepened our understanding of disease...
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2014-01-01
Potts, Jonathan R., Lewis, Mark A.
Territory formation is ubiquitous throughout the animal kingdom. At the individual level, various behaviours attempt to exclude conspecifics from regions of space. At the population level, animals often segregate into distinct territorial areas. Consequently, it should be possible to derive...