Both Nikon D80 and Panasonic ZS1 have 10.0 MP resolution sensors but Nikon D80's sensor is APS-C (23.6 x 15.8 mm ) and Panasonic ZS1's sensor is 1/2.5-inch (5.744 x 4.308 mm ).
Since Nikon D80'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 ZS1.
Below you can see the D80 and ZS1 sensor size comparison.
As seen above, Nikon D80 has a 15.1x Larger sensor area than Panasonic ZS1. 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.