

My question (do taller women have a preference for less height difference compared to shorter women) was actually answered by the graph, because the slope of the line is less than 1.
A 1.6m woman seems to most prefer a 1.78m partner (18cm taller), whereas a 1.8m woman seems to prefer a 1.89m partner (9cm taller). I other words, it’s not that they’re less choosy, it’s just that they expect a smaller delta when they themselves are tall.
Of course, the thick line in that graph doesn’t correspond with the headline numbers mentioned (21cm), but I also notice that the thick line isn’t the center of the acceptable range. That is, women seem to be more forgiving of people who are taller than their ideal than they are of people who are shorter than their ideal. That’s an interesting finding, too.
It’s meaningful to the only question I’ve asked, whether tall women prefer as large of an absolute height difference as short women do. The answer is no. Tall women prefer taller partners than short women prefer, but they prefer a smaller gap between themselves and their partners. According to the graph you posted (fig 1, which says it’s the confidence intervals for “preferred partner height”). As the paper explains:
So I think I’m reading that graph correctly and you’re not. Your discussion of fig 2 seems to be talking about the part of the paper on people’s satisfaction with their partner heights, which is a different metric than preferred partner height.
Everything else you’re talking about is not particularly interesting to me, and wasn’t what I was asking about.
Delta just means difference. A change over time is the delta of that variable over delta t.