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Skip to Search Results- 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
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Second-generation stoichiometric mathematical model to predict methane emissions from oil sands tailings
Download2019-07-31
Jude D. Kong, Hao Wang, Tariq Siddique, Julia Foght, Kathleen Semple, Zvonko Burkus, Mark A. Lewis
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...
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2013-01-01
William F. Fagan, Mark A. Lewis, Marie Auger-Meth, Tal Avgar, Simon Benhamou, Greg Breed, Lara LaDage, Ulrike E. Schl€agel, Wen-wu Tang, Yannis P. Papastamatiou, James Forester, Thomas Mueller
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...
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2019-06-04
Jonathan R. Potts, Mark A. Lewis
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...
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Spatial scales of habitat selection decisions: implications for telemetry-based movement modeling
Download2017-04-01
Guillaume Bastille-Rousseau, Dennis L. Murray, James A. Schaefer, Mark A. Lewis, Shane P. Mahoney, Jonathan R. Potts
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...
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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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Spreading Speed, Traveling Waves, and Minimal Domain Size in Impulsive Reaction-di®usion Models
Download2012-01-01
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...
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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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1995
Suppose {εk, −∞ < k < ∞} is an independent, not necessarily identically distributed sequence of random variables, and {cj}∞j=0, {dj}∞j=0 are sequences of real numbers such that Σjc2j < ∞, Σjd2j < ∞. Then, under appropriate moment conditions on {εk, −∞ < k < ∞}, View the MathML source, View the...