The articles that jake337 links to above are ones I myself have read and studied extensively. I think one additional fact from the Atkins article is worth bringing up here: when the focusing distance is close to the hyperfocal distance, with a lens of a focal length of 31.25mm, the above-mentioned 10D Canon or APS-C 1.6x sensor size camera will yield a depth of field that is not merely 1.6x more than a 35mm camera would, but 2.85x more.
As Atkins writes, "Note that as the focus distance approaches the hyperfocal distance, DOF increases rapidly. Since this happens for the a Canon APS-C crop sensor camera with a 31.25mm lens first (because the hyperfocal distance is least), the ratio of the DOF of the a Canon APS-C crop sensor camera to that of 35mm full frame becomes larger than the ~1.6x that you would get if the lens was focused at a distance much shorter than the hyperfocal distance. The plot below shows this graphically. Between about 0.2m and 3m the Canon APS-C crop sensor camera shows about 1.6-1.7x the DOF of 35mm full frame. At very close distances the ratio goes up, and as the distance approaches the hyperfocal distance for a 31.25mm lens at f8 on a Canon APS-C crop sensor camera (6.6m) the ratio rapidly rises - this is because the DOF behind the subject in the Canon APS-C crop sensor camera image is rapidly moving towards infinity."
What this means in PRACTICAL terms is that with short focal length lenses, on any APS-C camera, is that once the short focal length, wider-angle lenses are focused around 25 to 20 feet, the depth of field is so immense that it's almost impossible to make the background be unrecognizable. With shorter focal length lenses, and on farther-away subjects, when one uses an APS-C sized sensor, even areas that are outside of the band of acceptable sharpness, are often quite "recognizable"; even if say, a tree is not rendered in perfect crisp detail, it might very easily be "readable" by a human.