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More on spatial spread

We have discussed so far the diffusion equation and its application on relatively small spatial and temporal scales.  What we need to do next is to understand how robust the model is to the assumptions that are made, and what are some of the issues that arise.

We will discuss the application of the model to a variety of different cases, and examine the robgustness of the model to changes in the assumptions -- particularly assumptions about the age structure of the system under consideration, and about the uniformity of the population.  This examination will naturally lead into a discussion of assumptions that will segue into the next lecture on integrodifference equations.


* means required reading (I'd ask you to read all 3, but I think that is asking a bit much of you.)

*Modeling Stratified Diffusion in Biological Invasions.  Nanako Shigesada, Kohkichi Kawasaki, Yasuhiko Takeda American Naturalist, Vol. 146, No. 2. (Aug., 1995), pp. 229-251.

Analysing the Velocity of Animal Range Expansion (in Mobile Species).  F. van den Bosch, R. Hengeveld, J. A. J. Metz  Journal of Biogeography, Vol. 19, No. 2. (Mar., 1992), pp. 135-150.

*Andow et al.,  1990 Spread of invading organisms.  Landscape Ecol. 4: 177-188
(to be sent as a pdf)