The Iraqi Dead Body Count Map.

From the reporting here it would appear the Kurds in the north have the right focus but it all falls apart in the center of the county and then abates to some extent in the southern Shi'ite area. I don't believe that is grossly accurate so much as under reported. If there was an accompanying map of journalist distribution the most intense area would be central Iraq. So, it is safe to say "The Lancet" article is more accurate than this estimation.

The reporting is spotty but it is the best at the moment except for the estimate in "The Lancet" that places over 100,000 dead based on a ratio of the number of American soldiers that die.

This is the reporting the USA Commander and Chief uses to follow civilian death toll.