If all parents of every generation rolled a d6 and had that many children then population growth stays constant—at a rate of 1.75x per generation, ignoring for the sake of argument the effect of people failing to live up to their dice roll for various reasons. In this concrete scenario, 6⁄21 children in the general population were born to parents who rolled a 6, 1⁄21 to parents who rolled a 1, etc. So yes, you would be are six times as likely to be born to parents who rolled a 6, but population growth is constant. If an argument says that population growth in falling in this scenario it’s doing something wrong.
This argument seems to be using the fact that you are more likely to have parents who rolled a 6, and somehow taking it to mean that more 6s were rolled for the previous generation in general. This is simply not correct.
I’m honestly not sure whether this is a flaw in your argument, or a flaw in another argument that you’re trying to highlight, so sorry if I’m just stating the obvious here.
If all parents of every generation rolled a d6 and had that many children then population growth stays constant—at a rate of 1.75x per generation, ignoring for the sake of argument the effect of people failing to live up to their dice roll for various reasons. In this concrete scenario, 6⁄21 children in the general population were born to parents who rolled a 6, 1⁄21 to parents who rolled a 1, etc. So yes, you would be are six times as likely to be born to parents who rolled a 6, but population growth is constant. If an argument says that population growth in falling in this scenario it’s doing something wrong.
This argument seems to be using the fact that you are more likely to have parents who rolled a 6, and somehow taking it to mean that more 6s were rolled for the previous generation in general. This is simply not correct.
I’m honestly not sure whether this is a flaw in your argument, or a flaw in another argument that you’re trying to highlight, so sorry if I’m just stating the obvious here.
There are extra subtleties, I’ve realised. I’m working on them now...