The question is actually fairly easy to answer, if you do some math. When you deploy a pony bottle, you are assuming that your primary gas supply has been exhausted or has failed, so you need enough gas to get to the surface from wherever you are. How much gas that is can be calculated, as the link above shows, but it's important to be conservative with your estimates of the time needed to cope with the situation at depth, and with your gas consumption on ascent -- which is not going to be normal at all!
We generally, using conservatively padded numbers, calculate 20 cu ft per diver, to come up from 100 fsw. This allows an ascent which slows as you approach the surface, to minimize decompression risk. You may make a determination that such an ascent isn't necessary (after all, in the good old days, everybody went up at 60 fpm and there was no such thing as a safety stop) and that in a gas emergency, all you want is enough to get to the surface as fast as is not excessively risky.
But as pointed out, the difference between carrying a 13 cf and a 19 cf bottle is negligible, so unless you are worrying about minimizing weight for airline travel, you may as well use the larger one and have bigger reserves.