Both Panasonic TS6 and Fujifilm XP130 have 16.0 MP resolution sensors but Panasonic TS6's sensor is 1/2.33' (6.08 x 4.56 mm ) and Fujifilm XP130's sensor is 1/2.3 (6.17 x 4.55 mm ).
Since Fujifilm XP130's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Panasonic TS6.
Below you can see the TS6 and XP130 sensor size comparison.
Panasonic TS6 and Fujifilm XP130 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.