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Skip to Search Results- 45Lewis, Mark A.
- 6Krkošek, Martin
- 4Derocher, Andrew E.
- 4Lutscher, F.
- 4Peacock, Stephanie J.
- 3Bateman, Andrew W.
- 45Biological Sciences, Department of
- 45Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 45Mathematical and Statistical Sciences, Department of
- 45Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 1The NSERC TRIA Network (TRIA-Net)
- 1The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
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2007-01-01
Nisbet, Roger, Anderson, Kurt E., McCauley, Edward, Lewis, Mark A.
Much ecological research involves identifying connections between abiotic forcing and population densities or distributions. We present theory that describes this relationship for populations in media with strong unidirectional flow (e.g., aquatic organisms in streams and rivers). Typically,...
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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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2002-01-01
Lewis, Mark A., Bingtuan Li, Hans F. Weinberger
One crucial measure of a species' invasiveness is the rate at which it spreads into a competitor's environment. A heuristic spread rate formula for a spatially explicit, two-species competition model relies on `linear determinacy' which equates spread rate in the full nonlinear model with spread...
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State-space models' dirty little secrets: Even simple linear Gaussian models can have parameter and state estimation problems
Download2016-01-01
Auger-Méthé, Marie, Field, Chris, Albertsen, Christopher M., Derocher, Andrew E., Lewis, Mark A., Jonsen, Ian D., Mills Flemming, Joanna
State-space models (SSMs) are increasingly used in ecology to model time-series such as animal movement paths and population dynamics. This type of hierarchical model is often structured to account for two levels of variability: biological stochasticity and measurement error. SSMs are flexible....
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Step selection techniques uncover the environmental predictors of space use patterns in flocks of Amazonian birds
Download2014-01-01
Potts, Jonathan R., Mokross, Karl, Stouffer, Philip C., Lewis, Mark A.
Understanding the behavioral decisions behind animal movement and space use patterns is a key challenge for behavioral ecology. Tools to quantify these patterns from movement and animal–habitat interactions are vital for transforming ecology into a predictive science. This is particularly...
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2016-01-01
Peacock, Stephanie J., Krkošek, Martin, Lewis, Mark A., Lele, Subhash
The statistical tools available to ecologists are becoming increasingly sophisticated, allowing more complex, mechanistic models to be fit to ecological data. Such models have the potential to provide new insights into the processes underlying ecological patterns, but the inferences made are...
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Temperature-dependent Allee effects in a stage-structured model for Bythotrephes establishment
Download2011-01-01
Young, J. D., Yan, N. D., Lewis, Mark A., Wittmann, M. J.
Whether the invasive freshwater cladoceran Bythotrephes longimanus can establish after introduction into a water body depends on several biotic and abiotic factors. Among these, water temperature is important because both development rates and mode of reproduction (parthenogenetic or sexual) in...
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2017-01-01
Schlägel, Ulrike E., Merrill, Evelyn H., Lewis, Mark A.
Identifying behavioral mechanisms that underlie observed movement patterns is difficult when animals employ sophisticated cognitive‐based strategies. Such strategies may arise when timing of return visits is important, for instance to allow for resource renewal or territorial patrolling. We...