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What if...
(I'm a statistics/numbers geek so this whole quota and total thing fascinates me.)
If the idea behind quota and total is to "even" the chapters number wise, then why not use something similar to the Nebraska model presented by BigRedBeta? Maybe at least every five years or so would help even things out.
Some times it helps to visualize these things. So for the sake of simplicity, lets say there are five sororities with total for each at 100. Each chapter is considered excellent and any girl would consider her self lucky to be a member of any of the five. (Just go with it, ok.)
Following is the number of members at the start of recruitment.
ABC: 80 returning members
DEF: 70 returning members
GHI: 60 returning members
JKL: 50 returning members
MNO: 40 returning members
In the "usual" quota system, if 200 PNMs make it to preference night, then quota would be set at 40. (200/5=40) All chapters make quota. Thus after recruitment the membership would be as follows.
ABC: 80 returning members + 40 new members = 120 total members
DEF: 70 returning members + 40 new members = 110 total members
GHI: 60 returning members + 40 new members = 100 total members
JKL: 50 returning members + 40 new members = 90 total members
MNO: 40 returning members + 40 new members = 80 total members
In the "traditional" quota system, all chapters get the same number of new members as each other and MNO will be 40 members less than ABC. Even if MNO and JKL COB up to total, they will still be 20 less than ABC.
Now, using "total as part of quota" might work something like this. (Total = 100)
ABC: 80 returning members with 20 open spots/quota = 100 total members
DEF: 70 returning members with 30 open spots/quota = 100 total members
GHI: 60 returning members with 40 open spots/quota = 100 total members
JKL: 50 returning members with 50 open spots/quota = 100 total members
MNO: 40 returning members with 60 open spots/quota = 100 total members
As before, 200 women go through recruitment. So the breakout in this scenario would be 20+30+40+50+60=200. Each chapter would meet quota and be at total.
Let's say it is a big year at State U. and twice as many women (400) go through formal. 200 is the number needed to get each chapter at total. The remaining 200 PNMs would be divided by the number of chapters. 200/5=20 This number would be considered "quota additions" and would be the same for each chapter.
Thus each chapter's quota/result would be as follows.
ABC: 80 returning members. 20 open spots + 20 quota addition = 40 new members. New chapter total = 120
DEF: 70 returning members. 30 open spots + 20 quota addition = 50 new members. New chapter total = 120
GHI: 60 returning members. 40 open spots + 20 quota addition = 60 new members. New chapter total = 120
JKL: 50 returning members. 50 open spots + 20 quota addition = 70 new members. New chapter total = 120
MNO: 40 returning members. 60 open spots + 20 quota addition = 80 new members. New chapter total = 120
Of course, something could be worked out so that if a chapter doesn't make quota or total, they can COB and snap away up to the new total.
Frankly, if all chapters are *equal* - and that is what the NPC preaches - then why not set up a system that has a better chance of reflecting it number wise?
Once the chapters are "equal" (say within a certain preordained number or within a certain percentage of each other) then the campus can go back to the "standard" system of quota.
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