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- 77Mathematical and Statistical Sciences, Department of
- 77Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 62Biological Sciences, Department of
- 62Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 3The NSERC TRIA Network (TRIA-Net)
- 3The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 44Lewis, Mark A.
- 14Mark A. Lewis
- 13Kouritzin, Michael
- 6Krkošek, Martin
- 4Derocher, Andrew E.
- 4Jonathan R. Potts
Lewis, Mark A., Proboscsz, S., Orr, C., Krkošek, M., Peacock, S.J.
The resilience of coastal social–ecological systems may depend on adaptive responses to aquaculture disease outbreaks that can threaten wild and farm fish. A nine-year study of parasitic sea lice (Lepeophtheirus salmonis) and pink salmon (Oncorhynchus gorbuscha) from Pacific Canada indicates that...
Bampfylde, Caroline J., Jerde, Christopher L., Lewis, Mark A.
We formalize the establishment process for a sexual, semelparous organism through the use of hierarchical probability modeling from parameters of survival, probability of being female, probability of being fertilized, and expected fecundity.We show how to calculate the expected per capita growth...
Potapov, Alex, Merrill, Evelyn, Pybus, Margo, Lewis, Mark A.
We develop a model of CWD management by nonselective deer harvest, currently the most feasible approach available for managing CWD in wild populations. We use the model to explore the effects of 6 common harvest strategies on disease prevalence and to identify potential optimal harvest policies...
Merrill, E., Lewis, Mark A., Pybus, M., Potapov, A., Coltman, D.
We develop a model for the spread of chronic wasting disease (CWD) in a mule deer (Odocoileus hemionus) population to assess possible mechanisms of disease transmission and parameterize it for the mule deer population in Alberta, Canada. We consider seven mechanisms of disease transmission...
Predictions for climate change include movement of temperature isoclines up to 1000 meters per year, and this is supported by recent empirical studies. This paper considers effects of a rapidly changing environment on competitive outcomes between species. The model is formulated as a system of...
Eftimie, R., De Vries, G., Lewis, Mark A.
We present previously undescribed spatial group patterns that emerge in a one-dimensional hyperbolic model for animal group formation and movement. The patterns result from the assumption that the interactions governing movement depend not only on distance between conspecifics, but also on how...
Computation of tail probability distributions via extrapolation methods and connection with rational and Padé approximants.Download
Safouhi, Hassan, Gaudreau, Philippe J. , Slevinsky, Richard M.
Abstract. We use the recently developed algorithm for the G(1) n transformation to approximate tail probabilities of the normal distribution, the gamma distribution, the student’s t-distribution, the inverse Gaussian distribution, and Fisher’s F distribution. Using this algorithm, which can be...
In the context of simulating the transport of a chemical or bacterial contaminant through a moving sheet of water, we extend a well-established method of approximating reaction-diffusion equations with Markov chains by allowing convection, certain Poisson measure driving sources and a larger...
Melodie Kunegel-Lion, Rory L. McIntosh, Mark A. Lewis
The data presented in this article are related to the research article entitled “Mountain pine beetle outbreak duration and pine mortality depend on direct control effort” . This article provides presence of mountain pine beetle infested trees detected by the Saskatchewan Forest Service on a...
Dispersal, Population Growth, and the Allee Effect: Dynamics of the House Finch Invasion of Eastern North AmericaDownload
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...