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- 5Nathan G. Marculis
- 3Mélodie Kunegel-Lion
- 2Dean Koch
- 2Melodie Kunegel-Lion
- 2Rory L. McIntosh
- 12Biological Sciences, Department of
- 12Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 12The NSERC TRIA Network (TRIA-Net)
- 12The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 10Mathematical and Statistical Sciences, Department of
- 10Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 3Integrodifference equations
- 2Direct control
- 2Founder effect
- 2Insect epidemics
- 2Inside dynamics
- 2Mountain pine beetle
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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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2020-02-01
Melodie Kunegel-Lion, Rory L. McIntosh, Mark A. Lewis
The data presented in this article are related to the research article entitled “Mountain pine beetle outbreak duration and pine mortality depend on direct control effort” [1]. This article provides presence of mountain pine beetle infested trees detected by the Saskatchewan Forest Service on a...
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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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2019-02-01
Mélodie Kunegel-Lion, Rory L. McIntosh, Mark A. Lewis
Insect epidemics such as the mountain pine beetle (MPB) outbreak have a major impact on forest dynamics. In Cypress Hills, Canada, the Forest Service Branch of the Saskatchewan Ministry of Environment aims to control as many new infested trees as possible by conducting ground-based surveys around...
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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...