The Royal Parks Movement Strategy (consultation open)

Edit: and this is a hard thing to argue (where do the restrictions land?), but Richmond Park has an unsustainably high footfall which is permanently changing the landscape there. If some of that footfall is reduced by excluding those who could use public transport to get there but are too lazy to, then honestly that sounds fine

It doesn't to me, parks and spending time in the outdoors/open space/greenery has huge physical and mental health benefits which we are only now starting to better understand.

Given the issues around access to green space living in a big city I feel these benefits outweigh any issues around the park being oversubscribed.

The £10 fee suggested by @hippy is a regressive policy - it won't be a problem for the rich to pay a tenner so it would be the poor who suffer. I agree people shouldn't be rat running through the park, but if you want to enforce that do it with a clear ban and significant fine for doing it, not pay for play.