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Skip to Search Results- 14Mark A. Lewis
- 4Jonathan R. Potts
- 2Andrew W. Bateman
- 2Martin Krkošek
- 2Qihua Huang
- 2Rory L. McIntosh
- 14Biological Sciences, Department of
- 14Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 14Mathematical and Statistical Sciences, Department of
- 14Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 2The NSERC TRIA Network (TRIA-Net)
- 2The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
- 2net reproductive rate
- 2next generation operator
- 2persistence
- 2territoriality
- 1Advection–diffusion
- 1Aggregation
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2002-01-01
Hans F. Weinberger, Mark A. Lewis, Bingtuan Li
The discrete-time recursion system \un+1=Q[\un] with \un(x) a vector of population distributions of species and Q an operator which models the growth, interaction, and migration of the species is considered. Previously known results are extended so that one can treat the local invasion of an...
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2005-01-01
Frithjof Lutscher, Elizaveta Pachepsky, Mark A. Lewis
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....
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2006-01-01
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short range dispersal. For the case of one spatial dimension, we study the steady states analytically and numerically. There exist strongly nonlinear states with compact...
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2014-01-01
Jonathan R. Potts, Karl Mokross, Mark A. Lewis
Collective phenomena, whereby agent –agent interactions determine spatial patterns, are ubiquitous in the animal kingdom. On the other hand, movement and space use are also greatly influenced by the interactions between animals and their environment. Despite both types of interaction...
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2015-01-01
Jonathan R. Potts, Mark A. Lewis
Territoriality is a phenomenon exhibited throughout nature. On the individual level, it is the processes by which organisms exclude others of the same species from certain parts of space. On the population level, it is the segregation of space into separate areas, each used by subsections of the...
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2016-01-01
Marie Auger-Méthé, Mark A. Lewis, Andrew E. Derocher
Home range size estimates are often used to assess the amount of space required for animals to perform the activities essential for their survival and reproduction. However, in moving environments, traditional home range estimates may be ill suited to this task. In particular, traditional home...
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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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2016-01-01
Jonathan R. Potts, Mark A. Lewis
Mechanistic home range analysis (MHRA) is a highly effective tool for understanding spacing patterns of animal populations. It has hitherto focused on populations where animals defend their territories by communicating indirectly, e.g. via scent marks. However, many animal populations defend...
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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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2019-01-01
Yu Jin, Qihua Huang, Julia Blackburn, Mark A. Lewis
The study of population persistence in river ecosystems is key for understanding population dynamics, invasions, and instream flow needs. In this paper, we extend theories of persistence measures for population models in one-dimensional rivers to a benthic-drift model in two-dimensional...