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- 8Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 1The NSERC TRIA Network (TRIA-Net)
- 1The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
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2001-01-01
Holt, R. D., Lewis, Mark A., Keitt, T. H.
All species’ ranges are the result of successful past invasions. Thus, models of species’ invasions and their failure can provide insight into the formation of a species’ geographic range. Here, we study the properties of invasion models when a species cannot persist below a critical population...
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2004-01-01
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...
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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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Integrated step selection analysis: Bridging the gap between resource selection and animal movement
Download2016-01-01
Avgar, Tal, Potts, Jonathan R., Lewis, Mark A., Boyce, Mark S.
A resource selection function is a model of the likelihood that an available spatial unit will be used by an animal, given its resource value. But how do we appropriately define availability? Step selection analysis deals with this problem at the scale of the observed positional data, by matching...
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Minimizing invasion risk by reducing propagule pressure: a model for ballast-water exchange
Download2005-01-01
Lewis, Mark A., Wonham, Marjorie J., MacIsaac, Hugh J.
Biological invasions are a major and increasing agent of global biodiversity change. Theory and practice indicate that invasion risk can be diminished by reducing propagule pressure, or the quantity, quality, and frequency of introduced individuals. For aquatic invasions, the primary global...
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2002-01-01
MacIsaac, H.J., Lewis, Mark A., Robbins, T.C.
The spread of nonindigenous species in aquatic ecosystems provides an opportunity to develop new perspectives on the invasion process. In this paper we review existing invasion models, most of which were developed to describe invasions of terrestrial habitats, and propose an alternative that...
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2007-01-01
Nisbet, Roger, Anderson, Kurt E., McCauley, Edward, Lewis, Mark A.
Much ecological research involves identifying connections between abiotic forcing and population densities or distributions. We present theory that describes this relationship for populations in media with strong unidirectional flow (e.g., aquatic organisms in streams and rivers). Typically,...
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2016-01-01
Goodsman, Devin W., Lewis, Mark A.
Dispersal can push population density below strong Allee thresholds ensuring the demise of small founding populations. As a result, for isolated populations of dispersing organisms, the minimum founding population size that enables establishment can be quite different from the Allee threshold. 2....