Engines ... More power in the winter???

[he7lius]

Hi,
After reading about turbos, superchargers, intercoolers, etc, something crossed my mind.

Turbos and superchargers blow compress the air flowing into the engine, the intercoolers cool the pressurized air.

Nature tells us that as the air temperature goes down the air compresses taking less space.
The outside temperature in the winter is lower than in the summer.

Adding all this together, an engine show have more power in the winter than in the summer because, the devices that enhance the performance combined with a low outside temp produce a bigger explosion.

And in principal this should happen also in natural aspirated engines but only so some extend, I think.

Taking this to extremes shouldn't a car have more power in the North Pole that in the Sahara desert??

If this is true when do the manufactures measure the power of the engines??

I'm not sure all this makes sense guys but can someone clarify this for me??

If this isn't true can anyone explain why???