The remaining place where the transfer is planned, Kabul Province, has a large concentration of security forces, both Afghan and Western, making it one of the best patrolled areas of Afghanistan.
Many of the cases involve allegations of security force collusion.
The gradual transfer of security responsibilities to Afghan forces began in 2011 and was accompanied by a significant reduction in the number of NATO troops.
John Reid, the defense minister of Britain, confirmed the document's authenticity on Sunday but said it was one of a number of papers setting out scenarios for a transfer of security responsibilities to Iraqi forces.
Speaking to the Arabic daily Al Hayat, Ali al-Adeeb, the leader of the Dawa Party, of which Mr. Maliki is a member, said dates for the departure of troops would be set on a city-by-city basis, after a complete transfer of security operations to Iraqi forces.
Among the guests at the hotel on a warm June night were foreign and Afghan officials planning to attend a conference on the transfer of security responsibilities to Afghan forces.
This increase in troop strength would be tied to an accelerated timetable for the training of Afghan security forces and the transfer of security responsibilities from NATO to the Afghan government.
Also on Sunday, the Afghan government announced the beginning of the third phase of the transfer of security authority from international to Afghan forces, a process scheduled to be complete by 2014.
Insurgents have been trying to take advantage of the transfer of security responsibility from foreign to Afghan forces as the international coalition withdraws from Afghanistan.
Secretary of State Colin L. Powell said today that he would travel this week to Israel to try to press for a transfer of security operations in the northern Gaza Strip from Israeli armed forces to the Palestinian forces under the direction of their new security chief, Muhammad Dahlan.
