“We don’t do body counts”
General Tommy Franks, US Central Command
Norwegian newspapers report that 750 Iraqi soldiers have been killed in the battle for Najaf so far. There are no official numbers for how many civilians have been killed.
A site that tries to put together information about civilian casualties is the Iraq Body Count site. At the time of this post the site claims the minimum civilian casualties of the war so far has been 213, maximum 292 souls.
The site has published its methodology for gathering its causalities estimates.