This essay introduces a special section of this issue containing a set of papers on the dynamics of coupled human and natural systems. We frame this introduction by setting out some of the major issues confronting researchers who wish to incorporate both economic and biophysical dynamics in their analysis. We contrast the three papers contained in this section in terms of how they respond to these different issues. We conclude that these papers provide important new insights on both how to model and analyze dynamic coupled human and natural systems and how to define policies that will lead to improved human well being and environmental conditions.