Nikon A1000 has a
16.0MP 1/2.3 (6.17 x 4.55 mm ) sized BSI-CMOS sensor . On the other hand, Panasonic LX10 has a
20.0MP 1″ (13.2 x 8.8 mm ) sized BSI-CMOS sensor .
Below you can see the A1000 and LX10 sensor size comparison.
As seen above, Panasonic LX10 has a 4.1x Larger sensor area than Nikon A1000. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.