probit model: partial effects of a one-SD increase on dep. variable

Dear Statalist community,

I'm using a probit model to analyze the determinants of free trade agreements (FTA). The dependent variable FTA is binary: 1, if an FTA between a country pair exists, 0 otherwise.
So far I'm using:
which gives me marginal effects on the response probability of FTA.

However, I would need the partial effect of a one standard deviation change (and not of a marginal change) in the indep. variable on the response probability of FTA.

Can you help me here?
Thank you.