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- 149Mathematical and Statistical Sciences, Department of
- 149Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 109Biological Sciences, Department of
- 109Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 12The NSERC TRIA Network (TRIA-Net)
- 12The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 55Mark A. Lewis
- 48Lewis, Mark A.
- 31Kouritzin, Michael
- 7Jonathan R. Potts
- 6Krkošek, Martin
- 6Stephanie J. Peacock
Step selection techniques uncover the environmental predictors of space use patterns in flocks of Amazonian birdsDownload
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...
State-space models' dirty little secrets: Even simple linear Gaussian models can have parameter and state estimation problemsDownload
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....
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...
How growth, mortality, and dispersal in a species affect the species' spread and persistence constitutes a central problem in spatial ecology. We propose impulsive reaction-diffusion equation models for species with distinct repro- ductive and dispersal stages. These models can describe a...
Spatially-explicit matrix models: A mathematical analysis of stage-structured integrodifference equations.Download
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...
Movement influences a myriad of ecological processes operating at multiple spatial and temporal scales. Yet our understanding of animal movement is limited by the resolution of data that can be obtained from individuals. Traditional approaches implicitly assume that movement decisions are made at...
Memory is critical to understanding animal movement but has proven challenging to study. Advances in animal tracking technology, theoretical movement models and cognitive sciences have facilitated research in each of these fields, but also created a need for synthetic examination of the linkages...
Mathematical models of spatial population dynamics typically focus on the interplay between dispersal events and birth/death processes. However, for many animal communities, significant arrangement in space can occur on shorter timescales, where births and deaths are negligible. This phenomenon...
Second-generation stoichiometric mathematical model to predict methane emissions from oil sands tailingsDownload
Microbial metabolism of fugitive hydrocarbons produces greenhouse gas (GHG) emissions from oil sands tailings ponds (OSTP) and end pit lakes (EPL) that retain fluid tailings from surface mining of oil sands ores. Predicting GHG production, particularly methane (CH4), would help oil sands...
A key problem in environmental flow assessment is the explicit linking of the flow regime with ecological dynamics. We present a hybrid modeling approach to couple hydrodynamic and biological processes, focusing on the combined impact of spatial heterogeneity and temporal variability on...