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Skip to Search Results- 10Mark A. Lewis
- 5Nathan G. Marculis
- 2Dean Koch
- 2Mélodie Kunegel-Lion
- 2Subhash Lele
- 1Devin W. Goodsman
- 10Biological Sciences, Department of
- 10Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 10The NSERC TRIA Network (TRIA-Net)
- 10The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 8Mathematical and Statistical Sciences, Department of
- 8Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 3Integrodifference equations
- 2Founder effect
- 2Inside dynamics
- 2Mountain pine beetle
- 2Neutral genetic diversity
- 1Allee effect
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2020-07-31
Dean Koch, Subhash Lele, Mark A. Lewis
When working with contemporary spatial ecological datasets, statistical modellers are often confronted by two major challenges: (I) the need for covariance models with the flexibility to accomodate directional patterns of anisotropy; and (II) the computational effort demanded by high-dimensional...
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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...
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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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2020-01-19
Mélodie Kunegel-Lion, Mark A. Lewis
The efficacy of direct control methods in bark beetle outbreaks is a disputed topic. While some studies report that control reduces tree mortality, others see little effect. Existing models, linking control rate to beetle population dynamics and tree infestations, give insights, but there is a...
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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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2021-10-01
Pouria Ramazi, Mélodie Kunegel-Lion, Russell Greiner, Mark A. Lewis
Planning forest management relies on predicting insect outbreaks such as mountain pine beetle, particularly in the intermediate‐term future, e.g., 5‐year. Machine‐learning algorithms are potential solutions to this challenging problem due to their many successes across a variety of prediction...
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2021-05-01
Dean Koch, Mark A. Lewis, Subhash Lele
The mountain pine beetle (MPB) is among the most destructive eruptive forest pests in North America. A recent increase in the frequency and severity of outbreaks, combined with an eastward range expansion towards untouched boreal pine forests, has spurred a great interest by government, industry...
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2018-07-19
Melodie Kunegel-Lion, Devin W. Goodsman, Mark A. Lewis
In this study, we explore how the functional response framework can be imple- mented in pest management. Here, managers take the role of predators foraging on pests and facing monetary costs for survey and control in a spatial domain where the pest distribution and control strategy do not have to...