Finally, a descrption of the rules to be used for the National Assembly elections set for December 15, from the Middle East Media Research Institute:

For the elections in December, there will be two groups of parliamentary seats for a total of 275 seats – the major group of 230 seats are referred to as the Seats of the National Assembly (maqa’id majlis al-nuwwab) and the remaining 45 seats are referred to as the compensatory seats (al-maqa’id al-ta’widhiyah). The 230 seats are distributed to the provinces based on the number of registered voters in the January elections: [it then provides the district magnitude of each governorate, ranging from 5 to 59]

[...] While all slates will compete nationally, under the new system each candidate, whether running as an individual or as a member of an alliance, must declare his/her candidacy in one of the 18 provinces.

[...] Even if a slate does not receive enough votes in terms of the provincial quotient to qualify for a seat in a province, the total number of votes cast for that slate nationwide may be sufficient to make the slate eligible for a seat.

In other words, the system is still nationwide PR, as in January, 2004, but with regional lists, unlike in the previous election. While this system will increase regional representation somewhat compared to the January elections, the reliance on voter registration data from an election that was largely boycotted by Sunnis will continue to under-represent that part of the electorate. So will any continuing turnout suppression resulting from violence in their regions.

As best I can tell, the regional element would affect only which candidates are elected among those of any given party or alliance (because candidates on lists in governorates where a party/alliance performs better will win a larger share of its seats). It does not appear that the establishment of a regional tier will affect a party’s or alliance’s overall seat total.