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Skip to Search Results- 87Mathematical and Statistical Sciences, Department of
- 87Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 63Biological Sciences, Department of
- 63Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 3The NSERC TRIA Network (TRIA-Net)
- 3The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 47Lewis, Mark A.
- 14Mark A. Lewis
- 13Kouritzin, Michael
- 10Wang, Hao
- 6Krkošek, Martin
- 4Derocher, Andrew E.
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2024-02-05
Heggerud, Christopher M., Xu, Jingjing, Wang, Hao, Lewis, Mark A., Zurawell, Ron W., Loewen, Charlie J. G., Vinebrooke, Rolf D., Ramazi, Pouria
Abstract (description taken from article) Toxic cyanobacterial blooms (CBs) are becoming more frequent globally, posing a threat to freshwater ecosystems. While making long-range forecasts is overly challenging, predicting imminent CBs is possible from precise monitoring data of the underlying...
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2016-01-01
Qihua Huang, Yu Jin, Mark A. Lewis
One key issue for theory in stream ecology is how much stream flow can be changed while still maintaining an intact stream ecology, instream flow needs (IFNs); the study of determining IFNs is challenging due to the complex and dynamic nature of the interaction between the stream environment and...
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2005
Herein, we analyze an efficient branching particle method for asymptotic solutions to a class of continuous-discrete filtering problems. Suppose that t→Xt is a Markov process and we wish to calculate the measure-valued process t→μt(⋅)≐P{Xt∈⋅|σ{Ytk, tk≤t}}, where tk=kɛ and Ytk is a distorted,...
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Rates of convergence in a central limit theorem for stochastic processes defined by differential equations with a small parameter
Download1992
Kouritzin, Michael, Heunis, A.J.
Let μ be a positive finite Borel measure on the real line R. For t ≥ 0 let et · E1 and E2 denote, respectively, the linear spans in L2(R, μ) of {eisx, s > t} and {eisx, s < 0}. Let θ: R → C such that ∥θ∥ = 1, denote by αt(θ, μ) the angle between θ · et · E1 and E2. The problems considered here...
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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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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...