The discovery of quasiperiodic and chaotic behaviour of deceptively si
mple discrete population models is a major unexpected development of t
he last few decades. While these complex phenomena are relatively well
accepted and understood in physical sciences, the biological signific
ance of complex dynamics (chaos) is still not acknowledged fully. Inde
ed field data of biological populations has often been thought to some
how avoid the predictions of the mathematical models. Ecologically rea
listic reformulation of these models has now begun to suggest that cha
os is not biologically unrealistic and that ecological processes such
as migration of individuals between populations can appear to suppress
complex oscillations.