I was playing with some Slic3r settings today and stumbled across some pretty interesting relationships.
I'll start with the default settings, 0.40mm layer height, 0.35mm first layer, 200% first layer extrusion width.
Calculated extrusion width: 0.53mm
First layer extrusion width: 0.70mm
First layer extrusion volume: 20% more than other layers
Makes sense to me, right? You put a little more down on the first layer to help it stick right? Well what happens when we change parameters to a 0.3mm layer height for both?
Calculated extrusion width: 0.70mm
First layer extrusion width: 0.60mm
First layer extrusion volume: 13% less than other layers
It gets even worse as the layers get smaller, 0.2mm layer height:
Calculated extrusion width: 0.85mm
First layer extrusion width: 0.4mm
First layer extrusion volume: 59% less than other layers
The reason for this is the percentage is a multiplier on layer height, but the extrusion volume cross section is a square function (actually an ellipsoid). If you want 20% more plastic to be laid down on the first layer regardless of layer height, there is no value you can put in the "first layer extrusion width" that does that.
What's really odd about the first layer extrusion volume, if you set it to 0 for "default" you don't get the same extrusion width or volume you do on the other layers. You actually get about <1% less than other layers. I think this might be due to rounding errors, and this error decreases as the layer height gets smaller-- <0.1% at 0.2mm layer height.
But I bet the number of first layer passes is also increasing. If not, you would have gaps in between adjacent passes. I would think that the software is essentially increasing the packing density so that there is more surface contact between the bed and the first layer.
Just my theory, but you would have to check that.