Actually, if we’re talking about compression within the cylinder, more compression ≠ more air. Within the cylinder, more compression = higher thermal-conversion efficiency, (which does also increase power). Look at it this way. While the intake valves are open, a given mass of air goes into the cylinders, (which depends on their volume, the pressure at the intake port, valve timing, blah blah blah). Except for blow by, after you close the valves, if you now increase the amount that air is compressed, it doesn’t change the amount of air at all. (This is just conservation of mass.) If anything, the higher residual mass fraction that results when the compression ratio is increased actually reduces the amount of fresh charge that can enter the cylinder, (i.e., a decrease in VE). The compression by the blower definitely increases the amount of air that enters the cylinders, for sure!
This is why I tend not to use the concept of an effective compression ratio…because it combines two completely different mechanisms. I prefer, if anything, to use the concept of an effective displacement, which has a very similar looking equation to the one posted earlier for CReff. But I know we all have our preferred ways of looking at things, and that’s cool. Hope this helps! :thumbsup