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Skip to Search Results- 81Mark A. Lewis
- 13Jonathan R. Potts
- 7Hao Wang
- 6Andrew E. Derocher
- 6Andrew W. Bateman
- 6Russell Greiner
- 81Biological Sciences, Department of
- 80Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 55Mathematical and Statistical Sciences, Department of
- 55Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 12The NSERC TRIA Network (TRIA-Net)
- 12The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 6Animal movement
- 6animal movement
- 5Mathematical ecology
- 5partial differential equations
- 4Integrodifference equations
- 4Machine learning
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2021-01-05
Pouria Ramazi, Mélodie Kunegel-Lion, Russell Greiner, Mark A. Lewis
Although ecological models used to make predictions from underlying covariates have a record of success, they also suffer from limitations. They are typically unable to make predictions when the value of one or more covariates is missing during the testing. Missing values can be estimated but...
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2016-01-01
Marie Auger-Méthé, Mark A. Lewis, Andrew E. Derocher
Home range size estimates are often used to assess the amount of space required for animals to perform the activities essential for their survival and reproduction. However, in moving environments, traditional home range estimates may be ill suited to this task. In particular, traditional home...
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2015-01-01
Short-term and long-term population growth rates can differ considerably. While changes in growth rates can be driven by external factors, we consider another source for changes in growth rate. That is, changes are generated internally by gradual modification of population structure. Such...
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2016-01-01
Jonathan R. Potts, Mark A. Lewis
Mechanistic home range analysis (MHRA) is a highly effective tool for understanding spacing patterns of animal populations. It has hitherto focused on populations where animals defend their territories by communicating indirectly, e.g. via scent marks. However, many animal populations defend...
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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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2020-01-14
Nathan G. Marculis, Mark A. Lewis
The method of inside dynamics provides a theory that can track the dynamics of neutral gene fractions in spreading populations. However, the role of mutations has so far been absent in the study of the gene flow of neutral fractions via inside dynamics. Using integrodifference equations, we...
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Integrodifference equations in the presence of climate change: persistence criterion, travelling waves and inside dynamics
Download2018-01-01
Mark A. Lewis, Nathan G. Marculis, Zhongwei Shen
To understand the efects that the climate change has on the evolution of species as well as the genetic consequences, we analyze an integrodifference equation (IDE) models for a reproducing and dispersing population in a spatio-temporal heterogeneous environment described by a shifting...