"Elliptical trainer isn't appropriate for cross-training under the FIRST programme, as it's weight-bearing."
Interesting and confusing subject.
They are ambivalent on this point. In the book they say it's weight bearing, so isn't recommended. However in the website FAQ, they say “We recommend aerobic cross-training to supplement your running and to augment your aerobic fitness level. This includes stationary biking, rowing, elliptical, etc. workouts that are performed for the same amount of time as your typical running workout and at a similar intensity”
I mailed them to ask for clarification and they replied:
As for cross training, ellipticals qualify as supplementary aerobic training. Because it is a weight-bearing exercise, it does not provide the same recovery from running as rowing, swimming or biking, which we prefer and recommend. That does not preclude you from doing elliptical if you wish. We provide advice and recommendations but ultimately it is up to you to decide what you want to do...... it is very difficult to have a generic program that fits the training, experience, age and goals of every runner.
Still a bit confusing, but I include elliptical along with stationary biking and rowing, and will continue to do so. Yes it's weight-bearing but it's effectively non-impact, and has none of the joint thumping that running amounts to. I also sometimes use the stepper which is in the same category. Just my view, but I don't regard biking as hugely different from the elliptical. After 15 minutes, both make me feel that my legs have had a good workout. I'd have thought that the weight-bearing element of the elliptical isn't that different from the pressure we exert on the pedals in the cycling.