Indeed, sending a police patrol will only catch the kind of crime that happens in socio-economically disadvantaged communities, which in turn contributes to skewing the data to suggest that more crimes there, which leads to more policing, which leads to more crime, and so on.
Meanwhile, wage theft, over twice the size of all other kinds of theft put together, keeps growing year after year.
Police patrols should be entirely reactive, and not proactive. Proactive policing does not work.
Policing is not causing crime. People committing crime is causing crime.
The vast majority of crime where police should be involved are crimes where the victim can call the police later. For those that don't fit this criteria, either police patrols are already ineffective (targeted assassinations, for example), or the police isn't being called because the victim thinks it will make the situation worse. Which in many cases is true, and I think fixing that problem would be a good step to take.
I assure you mathematicians aren't optimizing the "visbile presence in the community". That's not something you need a mathematician for. Mathematicians are optimizing the ability of police to maximize the number of arrests by deciding which areas they should patrol in order to maximize crime.
You have to ask yourself why there is more crime in poor areas. The answer is that we don't go looking for or don't care about the crime that happens in other areas as much, and that the socio-economic conditions lead to more crime. You can't fix these issues by sending police there to act like an occupying army. You can only fix the root cause.
As a personal anecdote, having grown up in such places, people have so many bad experiences with police that they genuinely don't want to call them when their presence might maybe help. So is sending police patrols to maximize the number of arrests and create ever more negative experiences the solution? No. You have to fix the root cause.
How, is this your line of work?
Removing criminal elements from communities creates safer communities, which is a prerequisite for people thriving.
I'm not sure it's a good idea to assume certain truths based upon intuition.
That is not what occurred in practice and there is no data to suggest this would ever be a probable outcome. At any rate people don’t have a choice on who responds if the call is to 911.
I challenge your assumption. To me it seems intuitive that crimes are committed at higher rates by the socioeconomically advantaged, because they can get away with it.
See for example that immigrants commit crimes at lower rates than the general population.
https://www.cato.org/blog/illegal-immigrants-crime-assessing...
Completely agree on proactive policing. End the drug war and it would cease to be necessary.
The data behind 911 Good Samaritan laws[1] that protect people from being arrested when they call in overdoses would like to have a word with you.
[1] https://www.shatterproof.org/advocacy/state-by-state-informa...
In any case, if you are giving anyone defibrillators and locating them to minimize response time to cardiac incidents, it would be absurd to give it to the police.