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http://europepmc.org/abstract/med/11774068
Suggests otherwise, although is triantelope based and measured with HR.
Sure there was a recent study showing that running improved cycling performance but not vice versa but I couldn't find it in a quick Google.
Of course cycling is best for improving cycling performance, but running (with good form....) is much better than nothing (or swimming it would appear)
This also anecdotally agrees with a few very fast runners who I know of who have switched to cycling and quickly got VERY good.
I appreciate that this question might not be a perfect match for this thread, but the goal is improving my cycle fitness while the main exercise I can do is running. I am currently looking after my 5-month old daughter pretty much full time. She is too young to go in a bike seat, and there's not much room around the edges of our schedule for anything more than the occasional weekend ride. I can take her in the pram for a jog though, as it helps her get to sleep, so I have been doing that mostly every day. So my question is what running is going to help my cycle fitness more : longer runs at a slower pace or shorter runs at a faster pace, or sprint and jog HIIT-type thing? Probably the answer is at least partly contingent on type of riding I want fitness for...ideally would like to not be an embarrassment in a fixed crit, so not looking to be a mile-eating roadie.
If the answer is just "find some way to get on a bike", I could try a turbo trainer possibly. But likely not for more than an hour at a time.