The Pope himself has not clarified this. There are two arguments out there. One is that he does not want to use the title, but he continues to hold the office.
The other is that he is hoping to subdivide the Roman Church into different patriarchies. Personally, I have no idea how this would work.
The only thing that he did make clear is that he is hoping for a reunificatioin with the Orthodox where there is a different definition of the papacy, which will allow the Orthodox to reunite with their Eastern Catholic counterparts and retain their autonomy at the same time. Ven. John Paul II had also spoken about a redefinition of the papacy that would allow the Eastern Churches to reunite with the Orthodox and retain autonomy. This came up when Pope Benedict dropped the title of Patriarch of the West. My guess is that they may be moving toward a new paradigm where there is a Patriarch of the West, but it would not be the pope. This way, all of the patriarchs would be equal and they are in communion with each other through the Successor of Peter. It would work, because Patriarchs do not have to be popes and popes do not have to be patriarchs. This just happened to evolve this way. Don’t take that to the bank. That’s just my guess.
Fraternally,
Br. JR, OSF