Search
Skip to Search Results- 45Lewis, Mark A.
- 6Krkošek, Martin
- 4Derocher, Andrew E.
- 4Lutscher, F.
- 4Peacock, Stephanie J.
- 3Bateman, Andrew W.
- 45Biological Sciences, Department of
- 45Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 45Mathematical and Statistical Sciences, Department of
- 45Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
- 1The NSERC TRIA Network (TRIA-Net)
- 1The NSERC TRIA Network (TRIA-Net)/Journal Articles (TRIA-Net)
-
Empirical estimation of R0 for unknown transmission functions: The case of chronic wasting disease in Alberta
Download2015-01-01
Potapov, Alex, Merrill, Evelyn, Pybus, Margo, Lewis, Mark A.
We consider the problem of estimating the basic reproduction number R0 from data on prevalence dynamics at the beginning of a disease outbreak. We derive discrete and continuous time models, some coefficients of which are to be fitted from data. We show that prevalence of the disease is...
-
2015-01-01
Bateman, Andrew W., Neubert, Michael G., Krkošek, Martin, Lewis, Mark A.
Some of the most fundamental quantities in population ecology describe the growth and spread of populations. Population dynamics are often characterized by the annual rate of increase, λ, or the generational rate of increase, R0. Analyses involving R0 have deepened our understanding of disease...
-
2014-01-01
Potts, Jonathan R., Lewis, Mark A.
Territory formation is ubiquitous throughout the animal kingdom. At the individual level, various behaviours attempt to exclude conspecifics from regions of space. At the population level, animals often segregate into distinct territorial areas. Consequently, it should be possible to derive...
-
Integrated step selection analysis: Bridging the gap between resource selection and animal movement
Download2016-01-01
Avgar, Tal, Potts, Jonathan R., Lewis, Mark A., Boyce, Mark S.
A resource selection function is a model of the likelihood that an available spatial unit will be used by an animal, given its resource value. But how do we appropriately define availability? Step selection analysis deals with this problem at the scale of the observed positional data, by matching...
-
2001-01-01
Clark, James S., Lewis, Mark A., Horvath, Lajos
For populations having dispersal described by fat‐tailed kernels (kernels with tails that are not exponentially bounded), asymptotic population spread rates cannot be estimated by traditional models because these models predict continually accelerating (asymptotically infinite) invasion. The...
-
Minimizing invasion risk by reducing propagule pressure: a model for ballast-water exchange
Download2005-01-01
Lewis, Mark A., Wonham, Marjorie J., MacIsaac, Hugh J.
Biological invasions are a major and increasing agent of global biodiversity change. Theory and practice indicate that invasion risk can be diminished by reducing propagule pressure, or the quantity, quality, and frequency of introduced individuals. For aquatic invasions, the primary global...
-
Modeling group formation and activity patterns in self-organizing collectives of individuals
Download2007-01-01
Eftimie, R., Lewis, Mark A., Lutscher, F., de Vries, G.
We construct and analyze a nonlocal continuum model for group formation with application to self-organizing collectives of animals in homogeneous environments. The model consists of a hyperbolic system of conservation laws, describing individual movement as a correlated random walk. The turning...
-
2002-01-01
MacIsaac, H.J., Lewis, Mark A., Robbins, T.C.
The spread of nonindigenous species in aquatic ecosystems provides an opportunity to develop new perspectives on the invasion process. In this paper we review existing invasion models, most of which were developed to describe invasions of terrestrial habitats, and propose an alternative that...
-
2015-01-01
Peacock, Stephanie J., Krkošek, Martin, Bateman, Andrew W., Lewis, Mark A.
There is an increasing realization of the diverse mechanisms by which parasites and pathogens influence the dynamics of host populations and communities. In multi‐host systems, parasites may mediate food web dynamics with unexpected outcomes for host populations. Models have been used to explore...
-
2011-01-01
Molnár, Péter K., Derocher, Andrew E., Klanjscek, Tin, Lewis, Mark A.
Predicting the ecological impacts of climate warming is critical for species conservation. Incorporating future warming into population models, however, is challenging because reproduction and survival cannot be measured for yet unobserved environmental conditions. In this study, we use...