I think that if it's dug deep enough, it wouldn't be considered a swamp or a wetland. My pond doesn't really drain anywhere, nor does it have a dam. Nobody that I know even remotely considers it a swamp or a wetland.

Look at Cecil's ponds. Same with him. Holes dug in the ground and filled with water.

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3/4 to 1 1/4 ac pond LMB, SMB, PS, BG, RES, CC, YP, Bardello BG, (RBT & Blue Tilapia - seasonal).