Apart from the one you're replying to...
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Sorry to be a pedant, but that doesn't show serious injuries rising. It shows serious injuries as pretty static from 2006 - 2010 and again pretty static from 2011 - 2015.
There are any number of things that could cause this, but top of my list would be a one-off change in methodology of collecting or collating the stats in 2011.
Two other things to bear in mind. First, "serious injuries" in the technical sense aren't actually necessarily "serious" in the colloquial sense. When Mrs W was knocked off her bike and admitted to hospital because she'd been kept waiting in A&E for 4 hours - the hospital didn't want to bugger up their A&E targets - that counted as a "serious injury" even though she walked out of hospital the same day and was pain-free within a couple of weeks. Second, the denominator of the rate - the distance cycled - is incredibly difficult to measure, and the ONS have said that it's possibly unreliable - under-reporting quite a lot.
Oh, and of course 650 per billion kilometres is tiny. Absolutely minute. It's one per 1.5 million kilometres. Steve Abraham is trying to ride 120,000 km in one year, at a pace of something over 300km
per day. If he did that every year it would still take him 12.5 years to ride 1.5 million km.