Search
Skip to Search Results- 52Lewis, Mark A.
- 6Derocher, Andrew E.
- 6Krkošek, Martin
- 5Peacock, Stephanie J.
- 4Auger-Méthé, Marie
- 4Lutscher, F.
- 52Biological Sciences, Department of
- 48Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 48Mathematical and Statistical Sciences, Department of
- 48Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 4Biological Sciences, Department of/Research Data and Materials (Biological Sciences)
- 1The NSERC TRIA Network (TRIA-Net)
-
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...
-
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...
-
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....
-
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...
-
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...
-
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...
-
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...
-
2005-01-01
Pachepsky, E., Lewis, Mark A., Lutscher, F.
Individuals in streams are constantly subject to predominantly unidirectional flow. The question of how these populations can persist in upper stream reaches is known as the “drift paradox.” We employ a general mechanistic movement-model framework and derive dispersal kernels for this situation....
-
2001-01-01
Lewis, Mark A., Owen, Markus R.
High-frequency ventilation isa radical departure from conventional lung ventilation, with frequenciesgreater than 2Hz, and volumesp er breath much smaller than the anatomical deadspace. Its use has been shown to benefit premature infants and patients with severe respiratory distress, but a vital...
-
2016-01-01
Goodsman, Devin W., Lewis, Mark A.
Dispersal can push population density below strong Allee thresholds ensuring the demise of small founding populations. As a result, for isolated populations of dispersing organisms, the minimum founding population size that enables establishment can be quite different from the Allee threshold. 2....