Understanding the evolution of individuals which live in a structured 
and fluctuating population is of central importance in mathematical population
biology. Two types of structure are important.  First individuals live 
in a particular spatial location and their rate of reproduction depends 
on where they are and who is living near them. Second, if we are to make 
inferences from genetic data then we must understand how genes evolve 
as they pass through different genetic backgrounds.

In this lecture we focus on spatial structure and consider some 
of the mathematical challenges associated with analysing models of evolving
populations in which an individual's reproductive success is governed 
by the local population density.