According to the Galacticopedia thing ehsumrell1 is right in that you need one plant of each type per yard. I noticed far fewer in the base Teekan designs, but I always put that down to standard Teekan design.... excellence.
Lately I started playing the Ikkuro again, supposed master engineers. Their base port designs are 2 plants of each type for 6 yards.
So I have no idea what's going on there...
As for star bases, I've tried and tried and tried in almost every game I play to make viable 'Happy Teekan Rest Stop"'s (meant to sorta be like a deep space 9 kinda place) in deep space, gas clouds, or the odd gas giant between system clusters, or on the edge of them (galaxy map 'clusters'). Private traders only seem interested in trading with colony ports and bases that actually produce something though. Even if you manage to find a caslon gas cloud between two clusters with high trade between them, freighters still just seem to pass them by.
I have tried building them between me and another civ whom I have free trade with, but with whom our closest colonies are too far for freighter fuel reserves. That didn't seem to work. I've also tried building them close to asshole civs no one likes but me, even with me being their only trading partner, other civs private economies don't really understand the principle that they could sorta skirt the law by trading with my station to indirectly supply the embargoed one.
If you allow military refueling (and they're producing fuel), they'll get used by AI fleets at wartime, but I havn't noticed any extra income from this, I think they get it for free.
Interestingly enough though, I had built a Happy Teekan Rest Stop in my last game on the edge of a large cluster on a caslon (87%) gas giant. The Teekans (whom I had free trade, mineing and fuel rights with) went to war with the Shandar. The position of my rest stop put it at a potentially threatening control point for attacks against Shandar core space. I was very surprised to see the Teekan's seemed to understand this. They kept a large fleet parked outside it at all times, and frequently used it to refuel their other fleets.
It really is a shame though, it would be really nice if the private economy were able to treat star bases as star ports when it comes to trading, rather than viewing them as nothing but production sources.
< Message edited by Abraxis -- 4/22/2012 1:37:23 AM >