Yoga poses increase strength and promote flexibility. We all know that muscles need to be limber to avoid running-related injuries. With the numerous yoga poses focusing on relaxing and stretching the tight muscles you often use when you run, you can avoid getting injured, especially if you do long-distance running.
Breath work in yoga will also help you breathe easily when you run. You will improve your aerobic capacity, which is very important in long distance running.
Most important (at least for me) when you are injured, yoga can help you recover sooner!
I am banking on this to help me get back to running again. At the moment, I am doing Bikram Yoga twice a week, and although I have just started, I think I am beginning to notice some benefits. My back pain is lesser and I am more limber.
So before you get injured like I did, take up yoga!