Used Full-Size SUVs depreciated the least, while compact vans and Subcompact Luxury CUVs fell hardest in the auction lanes during January, according to Black Book's monthly report.

"For the third straight month we have seen the lowest depreciation of all segments in Full-Size Crossover/SUVs,” said Anil Goyal, Black Book's vice president of automotive valuation and analytics. "This trend, combined with continued low gas prices, is a sign that larger vehicles may continue to demonstrate relative strength in their value throughout this year."

Vehicles from model years 2010 to 2014 fell an average of 1.6% in value. Cars declined 1.7%, while trucks fell 1.5%.

Compact vans fell hard at auction. The category has also seen slower demand in the new-vehicle market. The category depreciated 3.6% to $10,101 and has fallen 22.8% since a year ago.

While compact vans struggle, full-size vans have held their value much better, falling 1.6% to $19,738 in January and 6.8% on the year.

Subcompact Luxury CUVs such as the Audi Q3, BMW X3, and Buick Encore fell 4% to $17,314 in January. The category has declined 21.2% from a year ago.

At the other end of the spectrum, Full-Size SUVs such as the Ford Flex, Volkswagen Touraeg, Lincoln MKT, Chevrolet Traverse, and Mazda CX-9 depreciated 0.3% to $25,063. The category is off 1.7% year-over-year.