Department
of Mathematics
TWENTY SECOND ANNUAL T.G. OSTROM LECTURE
WEDNESDAY, MARCH 12, 2003
7:30PM
CUE 219
Title
Mathematical models for carnivore territories
by
Mark Lewis
Canada Research
Chair in Mathematical Biology
University of Alberta
Abstract
Social carnivores, such as wolves and coyotes, have distinct and well-defined
home ranges. During the formation of these home ranges scent marks provide
important cues regarding the use of space by familiar and foreign packs.
In this talk I will propose a set of mechanistic rules that can be used to
understand the process of territorial pattern formation through interactions
with scent marks.
I will consider different model formulations, with and without the den
site as an organizing centre for spatial movement. Under
realistic assumptions the resulting territorial patterns include spontaneous
formation of `buffer zones' between territories which act refuges for prey
such as deer. This is supported by detailed radiotracking studies.
The model will also be
analysed using game theory, where the objective of each pack is to maximize
its fitness by increasing intake of prey (deer) and by decreasing interactions
with hostile neighboring packs. Predictions will compared with radio
tracking data for
wolves and coyotes.
Selected References:
Briscoe, B., Lewis, M.A, Parrish, S.: Home range formation in wolves due
to scent marking. Bull. Math. Biol. 64:261--284 (2002).
Lewis, M.A., Moorcroft, P.R.: ESS analysis of mechanistic home range
models: the value of signals in spatial resource partitioning. Journal of
Theoretical Biology 210:449--461 (2001).
Moorcroft, P.R., Lewis, M.A., Crabtree R.:Home range analysis using a mechanistic
home range model. Ecology 80: 1656--1665 (1999).
Lewis, M.A., White, K.A.J., Murray, J.D.:Analysis of a model for wolf territories
J. Math. Biol. 35: 749--774 (1997).
Lewis, M.A., Murray, J.D. Modelling territoriality and wolf-deer interactions,
Nature 366:738--740 (1993).