Does your culture not talk about your ancestors choices and successes, and extrapolate that your current choices affect your great-great-[etc]-grandchildren?
My ancestors are forgotten to time, as I suspect are most peoples'. How many do you think can name all eight (theoretically) of their great-great grandfathers? I certainly cannot. And that is not exactly ancient history.
As far as extrapolating my current choices effect on my descendants, nothing could be simpler; I have none and so there will be no effect on them. This is something that brings me much peace. I do wish that people with or without children would take better care of this planet, since I find the continued degradation of it to be the most depressing aspect of modern life, but I would think that parents in particular would be more future oriented.