Both Nikon S1200pj and Panasonic TS10 have 1/2.3-inch sized 14.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the S1200pj and TS10 sensor size comparison.
Sensor Size and Resolution Comparison image of Nikon S1200pj and Panasonic TS10 Cameras
Nikon S1200pj and Panasonic TS10 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
Nikon S1200pj
or the
Panasonic TS10 ,
including hyperfocal distance.