Actually the probability equation would be an estimate to determine δ for a given populace, which would then be substituted into the above equation. That would be more of an auxiliary equation whereas the above attempts to define the variables at play. I think the categorical imperative should be added but I'm not sure how to define that one yet... I was taking a break from this to let it sink in some more and decide whether this was worth further pursuit.
I was hoping Spider would weigh in at some point, but alas. :-)