Which FOX TV shows will be cancelled or renewed for the 2011-12 season? In large part this depends on a series’ ratings, particularly the 18-49 demographic. The lower the ratings, the more likely a show will be cancelled.

Before we get to the season-to-date averages, here are the winners and losers from March 4th until March 10th — based on the coveted 18-49 demographic, as measured against the last original episode.

Week-to-Week Gains: Cops 1.8/6 (+5.9%), The Simpsons 2.8/8 (+3.7%), Glee 4.6/14 (+4.5%), and American Idol 8.1/23 (+3.8%).

No Change: America’s Most Wanted 1.9/6, Bob’s Burgers 2.2/6, and House 3.8/11.

Week-to-Week Losses: Family Guy 3.1/8 (-6.1%), The Cleveland Show 2.2/6 (-15.4%), The Chicago Code 2.0/6 (-4.8%), Raising Hope 2.7/8 (-18.2%), Traffic Light 1.5/4 (-46.4%, vs Weds ep), American Idol 6.7/19 (-18.3%), and Bones 3.2/9 (-3.0%).

Wonder if your favorite FOX show’s been renewed or cancelled? Check out our comprehensive list. We’ll keep updating it as new info becomes available.

Below is a list of the regular FOX TV shows and their 2010-11 season average ratings to date. It only incorporates the ratings for original episodes that have aired this season, not repeats. The data is sorted by the 18-49 demographic averages, the group that advertisers will pay the most to reach. The “compared to” column reflects whether the demo average has gone up, down, or stayed the same since last week.

The closer a show is to the bottom of the list, the closer it is to being cancelled (if it hasn’t been cancelled already like The Good Guys, Running Wilde, and Lone Star). If it’s closer to the top of the list, it’s more likely to be renewed. Shows that are in the middle (“on the bubble”) can be a little tougher to call. Their future typically comes down to other factors like overall costs, contracts, who produces the show, and what new shows are on the horizon.

The list has been separated into two sections. Of the two, scripted programming is the most expensive. News and reality TV shows are less expensive to produce but the networks can’t program just news/reality (though they might like to since they are less of a financial risk).

It should be noted that Friday and Saturday nights are the least watched evenings of television so ratings for shows on those nights are lower. The networks understand this and take it into account. However, regardless of when a show is aired, its production costs remain the same. Ultimately, it must still be profitable enough for the network to keep ordering more episodes.

Raw data: © The Nielsen Company via Media Week.

What do you think? Any surprises on the lists? Which shows do you think won’t survive to see a new season?

Image courtesy FOX.