Post Estimation - Strength of relationship in specific year

Dear Statalist,

At present I'm currently examining the potential of bias in the trajectory of discretionary capital spending on sports facilities. In my model I've found a significant relationship between clubs located geographically proximate to the Minister of Sport. So a 1km decrease in distance from clubs close to this Minister increases grants awarded by x amount.

However, during the period in question 2002-2015, a number of different Ministers were in charge. Is it possible to carry out some post estimation effect for this specific relationship? I would like to be able to produce a bar chart which shows the magnitude of the effect for different years.

Also is it possible to be able to estimate when the relationship breaks down i.e. after xkm?

Any help would be very much welcome.