Looks like it might be a z axis problem. If the Z axis doesn't move the full layer distance, the plastic will be squished outward and lines will be fatter than they should be. If it moves more than the full layer distance lines will be narrower than they are supposed to be.
Another possibility is that the extruder carriage is shifting - does the concavity go all the way around the print, or does it appear on one side with an overhang on the other side?
What is the printer? What sort of Z axis drive does it have (belt, screw?), what is print layer thickness?
If you make multiple prints- one at a time, do they all come out with the same grooves in the z axis? If you make multiple prints at the same time do they all look the same or are they different?
Ultra MegaMax Dominator 3D printer: [
drmrehorst.blogspot.com]