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It depends on the weather conditions you live in. Using plastic may not be a good idea as there is nothing for the clay to adhere to. Wood is best but make sure to seal the wood, don't use a piece that is too thin as it will warp and score the surface to give the cell u clay a footing. And make sure you use a goodly amount of Elmer's white glue to help it all bond. A dash of liquid hand soap is recommended in the general mix. The amount of water used in the mix is also important. Plenty of web sites with tips on this very topic.
As an addendum to this good advice, one additional technique I have seen used in a number of step-by-step accounts is to put a number of screws into the base, screwing them in just far enough for them to hold securely, leaving the shaft and head standing up from the base like a mushroom, with the ground material is packed in tight around the screws so that they act as anchors to hold the ground material and keep it from warping and lifting.
On a plastic base, that would be problematic for screws, given the thinness of the plastic, but if the base isn't flush on the underside small bolts could be used to the same purpose, with the nut on the underside epoxied to the underside of the base.