The two Life cycle assessment approaches are defined as follows in the UNEP/SETAC Shonan guidance on LCA ( UNEP 2011), italics added:
But in this section we explain what the difference to attributional modelling is and why and when consequential modelling is the right choice for your LCA. The examples on this website are exclusively about consequential LCI modelling. For life cycle inventory analysis (LCI) it is common to distinguish between consequential and attributional modelling.