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It's weird, because if you're walking around Richmond Park generally, you're not going to notice how much traffic there is on the road - the place is pretty big and the speedy cyclists perceived to be the problem are only interested in doing laps, so they stick to the Park's main road. So aside from the moment your average pedestrian wishes to cross the road into the park's interior, how is the amount of traffic even an issue?
Different model use in shared spaces:
The default, as ever, is that it is the people on bicycles that are the problem, whereas the truth is probably closer to it being the people that are the problem, irrespective of how they move around.