The question and desiderata
I'm looking for a specific number here, even an equation. At what # of reported coronavirus cases (or estimated actual cases) within a population should the members of that population start self-quarantine measures (e.g. isolating themselves, avoiding contact with elderly, wearing masks)? Please state your reasoning, cite your sources, and/or show your math.
I know that being excessive in viral response is a good thing, and we should err on the side of doing too much, but I'm trying to be optimal in accounting for the behavioral costs of such measures.
Utah as a case study
Utah has 1 reported case. (source) It has a population of 3.161 million. The transmission rate of coronavirus in the US is around X (I don't actually know if there's a good source for this). Given these numbers for Utah, what is the "trigger point"- the ratio of (COVID-19 cases / population) at which we should self-quarantine? For example, we should begin self-quarantining when the number of CV cases reaches 1% of the population or 316,100 cases.
Or more fine-grained, what are the specific series of trigger points at which specific measures (mask-wearing, self-isolation, eliminating public gatherings) should begin?
I suspect someone else can come up with a more formal equation but I would say look at the local estimate of R-0 and then perhaps consider the old 6 degrees of separation claim.
However, I think a slightly different, non-quantitative way is carefully associating and knowing something about how those you associate are acting in this context. As soon as you start feeling like your exposure may no longer be based on secondary or tertiary sources it would be time to self quarantine.
[Edit -- I think it might be worth defining your population as well. Might not need to be the entire urban area/city/county but closer to neighborhood or apartment complex.)