Birna, thank you for the tip!
Keith, I am sure that the camera did not move. The subject apparently didn't, as far as I can tell.
Reading some of Zerene's documentation, I had a hunch. The software apparently does not mind whether it stacks from front to back or vice versa. What if a rookie photographed from front to back and then forward some in case he missed a few spots? Would that cause trouble? It turns out that it would! Here is the result using DMax on the frames that start at the front and stop at the back.