Picture quality relative to bitrate vs resolution

Hello.
I want to better understand the tradeoffs between bitrate and resolution.
We know that a 1280x720 frame is 921,600 pixels & a 1920x1080 frame is 2,073,600 pixels — a difference of 2.25x
So when considering what bitrate to encode at, is it true then that the 1080 output bitrate ought to be at least 2.25x greater than the 720 bitrate in order to achieve the same picture quality?
I am thinking about a (new?) metric for picture quality — call it bitrate per pixel per second, bpps.
I don't believe my thinking here is entirely accurate, so hopefully someone can help me.
With 720 output at 5 Mpbs then the video is ~5.6 bpps [ (5 * 1024 * 1024) / 921,600 ]
With 1080 output at 7 Mbps, then the video is ~3.5 bpps [ ( (7 * 1024 * 1024) / 2,073,600) ]
In order for 1080 output to "look the same", does the bitrate need to be at least 2.25x greater than the 720?
Thank you!
-pmod

Try this video bitrate calulator from Adobe to give you a general idea to set the bitrate:
http://www.adobe.com/devnet/flash/apps/flv_bitrate_calculator.html
Set the codec to AVC/H.264.

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From: [email protected]
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Picture quality relative to bitrate vs resolution

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