Great, thanks for the input here. Don’t know if you’ve dealt with this kind of ecological data, but you nailed it on how most folks deal with this kind of data, as far a doing a log-linear transformation and treating this as a decay problem. And many folks do invert the dissimilarity distances (like Bray-Curtis, which I’m using) into similarity measures, mostly to make them more intuitive.
I’ve been sticking to the asymptote function here, in part because I am looking into the patterns of that early portion of the curve. With this and some other data, we’re really interested in the first “jump” from one micro-watershed to the neighboring one.
Anyway, I’ll take this advice into my thinking about this. As far as this thread, you definitely supplied the specific answer to the question above.