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Skip to Search Results- 7Invasions
- 3Dispersal
- 2Climate change
- 1Advection–diffusion equations
- 1Allee Effects
- 1Aquatic organisms
- 6Biological Sciences, Department of
- 6Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 3Mathematical and Statistical Sciences, Department of
- 3Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 1Renewable Resources, Department of
- 1Renewable Resources, Department of/Journal Articles (Renewable Resources)
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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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2003
McLachlan, J. S., Lewis, M. A., HilleRisLambers, J., Clark, J. S.
Recent literature on plant population spread advocates quantification of long-distance dispersal (LDD). These estimates could provide insights into rates of migration in response to climate change and rates of alien invasions. LDD information is not available for parameterization of current...
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1994
Veit, R. R., Banks, J. E., Holmes, E. E., Lewis, M. A.
Most of the fundamental elements of ecology, ranging from individual behavior to species abundance, diversity, and population dynamics, exhibit spatial variation. Partial differential equation models provide a means of melding organism movement with population processes and have been used...
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The genetic signature of rapid range expansions: How dispersal, growth and invasion speed impact heterozygosity and allele surfing
Download2014-01-01
Lewis, Mark A. , Coltman, David W. , Goodsman, Devin W., Cooke, Barry
As researchers collect spatiotemporal population and genetic data in tandem, models that connect demography and dispersal to genetics are increasingly relevant. The dominant spatiotemporal model of invasion genetics is the stepping-stone model which represents a gradual range expansion in which...