Leica V-Lux 4 has a
12.0MP 1/2.3-inch (6.08 x 4.56 mm ) sized CMOS sensor . On the other hand, Fujifilm XP200 has a
16.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CMOS sensor .
Below you can see the V-Lux 4 and XP200 sensor size comparison.
Sensor Size and Resolution Comparison image of Leica V-Lux 4 and Fujifilm XP200 Cameras
Leica V-Lux 4 and Fujifilm XP200 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
Leica V-Lux 4
or the
Fujifilm XP200 ,
including hyperfocal distance.