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Skip to Search Results- 5Critical domain size
- 5Integrodifference equations
- 2Dispersal
- 2Drift paradox
- 2Founder effect
- 2Nonlocal dispersal
- 5Mark A. Lewis
- 4Lewis, Mark A.
- 3Nathan G. Marculis
- 2Lutscher, F.
- 1Elizaveta Pachepsky
- 1Frithjof Lutscher
- 9Biological Sciences, Department of
- 9Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 8Mathematical and Statistical Sciences, Department of
- 8Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 3The NSERC TRIA Network (TRIA-Net)
- 3The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
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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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1996-01-01
Mark Kot, Mark A. Lewis, P. van den Driessch
Models that describe the spread of invading organisms often assume that the dispersal distances of propagules are normally distributed. In contrast, measured dispersal curves are typically leptokurtic, not normal. In this paper, we consider a class of models, integrodifference equations, that...
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2019-05-10
Nathan G. Marculis, Jimmy Garnier, · Roger Lui, Mark A. Lewis
A stage-structured model of integrodifference equations is used to study the asymptotic neutral genetic structure of populations undergoing range expansion. That is, we study the inside dynamics of solutions to stage-structured integrodifference equations. To analyze the genetic consequences for...
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2020-03-21
Nathan G. Marculis, Maya L. Evenden, Mark A. Lewis
Trade-offs between dispersal and reproduction are known to be important drivers of population dynamics, but their direct influence on the spreading speed of a population is not well understood. Using integrodifference equations, we develop a model that incorporates a dispersal–reproduction...
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2016-01-01
Nathan G. Marculis, Roger Lui, Mark A. Lewis
We investigate the inside dynamics of solutions to integrodifference equations to understand the genetic consequences of a population with nonoverlapping generations undergoing range expansion. To obtain the inside dynamics, we decompose the solution into neutral genetic components. The inside...
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2011-01-01
The critical domain size problem determines the size of the region of habitat needed to ensure population persistence. In this paper we address the critical domain size problem for seasonally fluctuating stream environments and determine how large a reach of suitable stream habitat is needed to...
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Spatially-explicit matrix models: A mathematical analysis of stage-structured integrodifference equations.
Download2004-01-01
This paper is concerned with mathematical analysis of the ‘critical domain-size’ problem for structured populations. Space is introduced explicitly into matrix models for stage-structured populations. Movement of individuals is described by means of a dispersal kernel. The mathematical analysis...
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2005-01-01
Pachepsky, E., Lewis, Mark A., Lutscher, F.
Individuals in streams are constantly subject to predominantly unidirectional flow. The question of how these populations can persist in upper stream reaches is known as the “drift paradox.” We employ a general mechanistic movement-model framework and derive dispersal kernels for this situation....
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2005-01-01
Frithjof Lutscher, Elizaveta Pachepsky, Mark A. Lewis
Individuals in streams are constantly subject to predominantly unidirectional flow. The question of how these populations can persist in upper stream reaches is known as the “drift paradox.” We employ a general mechanistic movement-model framework and derive dispersal kernels for this situation....