It used to be that marathoners just ran a whole lot of miles, like 80 -120 a week. They were skinny and looked like skeletons. Now look at the elite marathoners and many (not all) of them have good upper body muscle definition, because it is now known that strength training can help marathoners run faster and avoid injury. So it's good that you want to strength train while training for a marathon. My personal experience is that when I was doing triathlons and cross-training, including weights, I never got hurt. When I started doing primarily running to train for marathons I got hurt. So I think the strength training and cross-training are important.
However, you want periodization in your training, so I think you should modify the NROL workouts while marathon training. In the pre-season you can follow the NROL workouts as written, but during the main training and racing season you probably should only do it once or twice a week and only do 1 or 2 sets of each exercise. Also, do your strength workouts on non-running days, and not the day before or after your long run. Get your main strength gains during the off-season and then just maintain it during the in-season.
Do a google search for strength training for marathoners and you'll find a lot of info.
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