I'm broadly aware that some health policy people want providers to be paid for caring for patients, not on a per-procedure basis. Get paid more for keeping your patients healthy and living longer, not for racking up more visits.
Does such a thing exist for policing? I think critically we need a mechanism for collecting crime stats that isn't fully dependent on the police themselves -- but at a high level, paying police to reduce actual crime, and shrinking their budget when crime actually increases, seems like a path to at least get what we pay for.
For lesser crimes the numbers can't be trusted. Many victims don't bother to file reports because they're afraid or they don't believe that law enforcement will act. Some police forces even have an unofficial policy of discouraging victims from filing official reports in order to minimize workload and make their statistics look better.