Sony A7R II has a
42.0MP Full frame (35.9 x 24 mm ) sized BSI-CMOS sensor and features Bionz X processor. On the other hand, Panasonic S1R II has a
44.3MP Full frame (36 x 24 mm ) sized CMOS sensor and features Venus Engine processor.
Another similarity between these two cameras is that both Panasonic S1R II and Sony A7R II sensors lack anti-alias (Low-Pass) filters. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the A7R II and S1R II sensor size comparison.
Sensor Size and Resolution Comparison image of Sony A7R II and Panasonic S1R II Cameras
Sony A7R II and Panasonic S1R II have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Sony A7R II
or the
Panasonic S1R II ,
including hyperfocal distance.