First order complex systems:
These are systems with purely physical components. A tornado, for example, is a complex structure that requires sophisticated non-linear mathematics to model its flow. A supercomputer can crunch the numbers in a natural catastrophe model to estimate the damage caused when a tornado hits a set of buildings in a specific place. But the tornado and the buildings are both physical structures, so this problem is only of first order complexity.
Second order complex systems:
Second order complexity shifts from the physical to the biological realm. In these systems, there is the extra element of adaption as Darwinian evolution becomes a factor. So, a tornado will not become stronger as a result of buildings becoming stronger, but a beaver’s teeth will evolve over time to deal with bigger trees.