is there a specific lumens per square foot equation?
No.
It's confusing, I'll admit.
Lumens is the amount of light produced by the source, typically a lamp.
Here's the confusing part....
Foot-candles is defined as "lumens per square foot". (This does NOT mean that you can divide your total lumens by your total square footage.) "Lumens per square foot" is a measure of illuminance, or how much light has fallen on a surface.
In other words, we know how many lumens are produced, in a lab, by a 60w light bulb (approx. 800). But, when we are measuring foot candles, we are measuring how lumens are cast onto a 1'x1' area. They are two completely different things and, almost always, folks get it wrong.
"Lumens" from a lamp is not used in the calculation "Lumens per square foot".
My brain hurts.
CD