Research Publications (Mathematical and Statistical Sciences)

2011-01-01

Lewis, Mark A., Derocher, Andrew E., Auger-Méthé, Marie, St. Clair, C. C.

2011-01-01

Jin, Yu, Lewis, Mark A.

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...

2014-01-01

Yu Jin, Frank M. Hilker, Peter M. Stefer, Mark A. Lewis

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...

2019-07-31

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...

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...

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...

2017-04-01

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...

2004-01-01

Lewis, Mark A., Lutscher, F.

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...

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...

2012-01-01

Mark A. Lewis, Bingtuan Li

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...