There may actually be a "minimum" size for a pond to support paddlefish, but I am definitely aware of a couple of Nebraska sandpits that produced 70 lb+ spoonies. It would seem to me that the fish would need large amounts of plankton to thrive and would need a long enough runway to be able to effectively scoop and filter. If I'm not mistaken that's what paddlefish do--they use the upper half of the water column and cruise for plankton. You would also have to estimate the impact on the plankton population as it relates to other species which are planktivores.
Great link, SHORTY.