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There is no year zero in this scheme, so the year AD 1 immediately follows the year 1 BC.
The old Anno Mundi calendar theoretically commenced with the creation of the world based on information in the Old Testament.
Terminology that is viewed by some as being more neutral and inclusive of non-Christian people is to call this the Current or Common Era (abbreviated as CE), with the preceding years referred to as Before the Common or Current Era (BCE).
Astronomical year numbering and ISO 8601 avoid words or abbreviations related to Christianity, but use the same numbers for AD years.
The last year of the old table, Diocletian 247, was immediately followed by the first year of his table, AD 532.
When he devised his table, Julian calendar years were identified by naming the consuls who held office that year—he himself stated that the "present year" was "the consulship of Probus Junior", which was 525 years "since the incarnation of our Lord Jesus Christ".
Thus Dionysius implied that Jesus' incarnation occurred 525 years earlier, without stating the specific year during which his birth or conception occurred.