Given the evident mismatches between income poverty and other kinds of poverty, and given that these are in part due to non-sampling measurement error, this is a potentially problematic identification structure. Persons who are multiply deprived in a set of non-monetary deprivations should have the possibility to be identified as multidimensionally poor unless there is a very good reason for prohibiting this. This is particular the case if, as in Mexico which uses a human rights framework, non-monetary deprivations are interpreted as violations of social rights.