PEBE 117, Friday February 24th, 2005
Speaker: James Powell
Department of Mathematics and Statistics
Utah State University
Title: Ghost Forests, Global Warming and Mountain Pine Beetles, or
The Mathematical Basis for Modelling Insect Seasonality
Abstract:
In this talk we explore the potential consequence of global warming on the
distribution and outbreak status of mountain pine beetle (Dendroctonus
ponderosae). Mountain pine beetle serve an important ecological role in
western US pine forests, which have evolved with bark beetle disturbance
as an
integral part of an adapted system. The reproductive strategy of mountain
pine beetles requires new hosts each year, and pines under attack defend
themselves strongly. There is thus strong selective pressure for
dispersed
populations of beetles to mature and emerge simultaneously (synchrony),
and at
an appropriate time of year (seasonality). Interestingly, the
development and
timing of mountain pine beetle development seems to be under direct
thermal
control, operating without the benefit of diapause (which often serves to
`time' the development of other insects). A very simple model for insect
development uses a combination of stage-dependent developmental rates and
temperature thresholds below which development can not occur. In
combination
with seasonal temperature swings a natural consequence of this simple
model is
that oviposition and emergence will occur in fixed, attractive cycles
corresponding to one, two, or half generations per year. The dynamical
properties of the thermal habitat are therefore characterized by regions
of
adaptive seasonality separated by regions of maladaptive, asynchronous
seasonality, which (with host availability) set the limits on mountain
pine
beetle habitat. These results are used to analyze the transient
dynamics and
outbreak potential of mountain pine beetle populations in the mountainous
west of North America.