Lower compression ratio "*TYPICALLY*" means less pressure. This in turn means less heat. When you apply boost, heat definatly goes up. But 15psi and 9:1 CR is no where near as much pressure as 15psi and 8:1 CR. The thing is, horsepower is made by airflow. Torque is made by cylinder pressure. So, you lose some cylinder pressure, but instead of filling the combustion chamber with metal, you are filling it with air.
So, as you have lower compression chamber temps, you can run higher boost on lower octane fuel thus making more horsepower on lower octane fuel.
Compression ratio is a ratio of BDC combustion chamber volume-to-TDC combustion chamber volume.
http://e30m3performance.com/my...o.htm
Note this is "STATIC COMPRESSION RATIO".
Dynamic compression ratio takes air pressure into account when calculating compression ratio.