A classical problem in enumerative geometry asks to "count" the number of plane rational curves through a given collection of points. Over base fields which are not algebraically closed, we have to understand "counting" in much more loose sense in order to obtain enumerative invariants which do not depend on the configuration of point conditions. Such invariants were recently defined by Levine for any perfect base field of characteristic not 2 or 3 and Jaramillo-Puentes-Pauli allow us to express these invariants as tropical enumerative invariants. In this talk I will present how the tropical approach readily implies some structural properties for the arithmetic enumerative invariants.