This volume contains the proceedings of the U.S. Australia workshop on
Complex Interconnected Biological Systems held in Albany, Western
Australia January 1-5, 1989. The workshop was jointly sponsored by the
Department of Industry, Trade and Commerce (Australia), and the Na-
tional Science Foundation (USA) under the US-Australia agreement.
Biological systems are typically hard to study mathematically. This is
particularly so in the case of systems with strong interconnections,
such as ecosystems or networks of neurons. In the past few years there
have been substantial improvements in the mathematical tools available
for study- ing complexity. Theoretical advances include substantially
improved un- derstanding of the features of nonlinear systems that lead
to important behaviour patterns such as chaos. Practical advances
include improved modelling techniques, and deeper understanding of
complexity indicators such as fractal dimension. Game theory is now
playing an increasingly important role in under- standing and describing
evolutionary processes in interconnected systems. The strategies of
individuals which affect each other's fitness may be incor- porated into
models as parameters. Strategies which have the property of evolutionary
stabilty result from particular parameter values which may be the main
feature of living determined using game theoretic methods. Since systems
is that they evolve, it seems appropriate that any model used to
describe such systems should have this feature as well. Evolutionary
game theory should lead the way in the development of such methods.