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They make you carry your bike over some foot high obstacle in the filtering bit.
At least, that's probably how sustrans would design it.
(they actually do this in the Afan valley to prevent motorcross riders from using the cycling facilities - probably has nothing to do with Sustrans but I wouldn't put it past them)
The less facetious answer is you probably can't. But then the problem statement assumes a chase vehicle is a car? Isn't the obvious answer police on motorbikes or mopeds? And assuming the police aren't chasing on bikes, they have so little hope of making a catch as is that a bit of filtering is going to make naff all difference.
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The general problem of all two-wheelers being driven or ridden through filters can't be solved except by more enforcement, but you can't design filtering specifically to address crime. I certainly don't think that it 'facilitates' moped crime. You may think so if you imagine police pursuing suspects only by car and being 'filtered out', but I think recent years have shown that this model is outdated. Obviously, drones are now available and the police have tested them for following fleeing suspects from the air, and police on motorbikes or electric bikes would be better than having them in cars all the time. (Edit: As Howard said.) I haven't spoken to any police officers for a while so don't know what their current stance is on this, though.
@Oliver Schick
How would you design modal filtering to eliminate or significantly reduce the facilitatation of moped crime. Currently anything that allows cycles through also allows mopeds through, thus making them obvious and attractive getaway routes.