In how many “man on the street” interviews must we hear something like:

“We’ve had a lot of incidences of violence in our neighborhood lately.”

No. No. No.

I think you mean “incidents.”  Or, maybe you mean “instances.”  Or, “occurrences.”  (You’d be better off saying, “A lot of crime has occurred around here lately.”)

The word “incidence” is seldom used (properly).  For the sake of simplicity, it refers to “the degree or extent of the occurrence of some phenomenon.”  Like:  “The incidence of disease in that area is increasing.”  Or, it may refer to “the angle at which a beam or ray strikes a surface.”

“Incidence” never means “incident.”  Coincidently, “incidences” is never the plural of “incident.”