(By Jakob Lesage): "Reflexive markers indicate that a participant is coreferential with another participant in the clause or sentence (cf. Haspelmath & The APiCS Consortium 2013). A reflexive marker can be derived from pronouns with reflexive morphology (e.g. him-self in English, lui-même in French). If reflexive meaning is expressed with a body part noun, e.g. a noun meaning ‘body’ or ‘head’ (They are scolding their body to mean ‘They are scolding themselves’), this also counts as 1. Emphatic pronouns (e.g. She cooked it (by) herself.) do not trigger a 1, since they do not express a participant."
The notion of "phonologically independent reflexive pronoun" is not quite clear, but it seems to correspond fairly closely to the notion of a reflexive nominal (= a form that can occur where full nominals and/or independent pronouns occur).