Journal ArticleDOI
Projecting rates of spread for invasive species
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This work reviews how IDE models are formulated, how they are parameterized, and how they can be analyzed to project spread rates and the impact of those rates to changes in model parameters on invasion risk.Abstract:
All else being equal, the faster an invading species spreads, the more dangerous its invasion. The projection of spread rate therefore ought to be a central part of the determination of invasion risk. Originally formulated in the 1970s to describe the spatial spread of advantageous alleles, integrodifference equation (IDE) models have since been co-opted by population biologists to describe the spread of populations. More recently, they have been modified to include population structure and environmental variability. We review how IDE models are formulated, how they are parameterized, and how they can be analyzed to project spread rates and the sensitivity of those rates to changes in model parameters. For illustrative purposes, we apply these models to Cytisus scoparius, a large shrub in the legume family that is considered a noxious invasive species in eastern and western North America, Chile, Australia, and New Zealand.read more
Citations
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Journal ArticleDOI
Assessing the effects of climate change on aquatic invasive species.
Frank J. Rahel,Julian D. Olden +1 more
TL;DR: This work presents a conceptual framework and empirical review of the interactive effects of climate change and invasive species in freshwater ecosystems and highlights the complex interactions between climatechange and invasivespecies that will influence how aquatic ecosystems and their biota will respond to novel environmental conditions.
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Emergent insights from the synthesis of conceptual frameworks for biological invasions
TL;DR: In this paper, a more inclusive and mechanistic conceptual framework for invasion should facilitate quantitative and testable evaluation of causal factors, and can potentially lead to a better understanding of the biology of invasions.
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Sensitivity analysis of transient population dynamics.
TL;DR: This approach applies not only to linear time-invariant models but also to time-varying, subsidized, stochastic, nonlinear and spatial models, and does not require calculation of eigenvalues or eigenvectors.
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A functional trait perspective on plant invasion
Rebecca E. Drenovsky,Brenda J. Grewell,Carla M. D'Antonio,Jennifer L. Funk,Jeremy J. James,Nicole A. Molinari,Ingrid M. Parker,Christina L. Richards +7 more
TL;DR: It is essential to link trait-based responses of invaders to changes in community and ecosystem properties, and this work suggests a functional trait framework for assessing per capita effects and, ultimately, impacts of invasive plants on plant communities and ecosystems.
References
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
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TL;DR: In this paper, the authors provide a broad overview of Fourier Transform and its relation with the FFT and the Hartley Transform, as well as the Laplace Transform and the Laplacian Transform.
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