I don't know if fat matters, but in my pond 2 or 3 males chase a female pushing her on top of lilies or other pond plants almost completely out of the water to induce her to spawn. The pond is approx 1000 gallons, and in the spawning they use the entire surface of the pond, in the chase.
I've seen this in lakes where large common carp (2-3ft in length)will push the females into a shallow bay, less than a foot of water to spawn. The water looks like it is boiling with all the activity, because there are always 2 or 3 males to every female.