I have a degree in math with a focus on probability and statistics. In the long run, ones odds of eventually hunting a top tier unit in a given span of time is twice as high under a lottery system than under a pp system. I can show you my spreadsheet if you doubt me. The only way a pp system guarantees an eventual draw is in a middle tier unit for which the sum of max point applicants and one-less-than-max-point applicant is less than the number of tags more than 50% of the time. If WY initiated a pp system for all species next year, I could eventually hunt elk in area 100, but my kids would almost certainly never draw. Currently the odds of drawing 100 at least once in the next 20 years are 1:3. That's not bad, and my kids will have those same odds as long as the draw system remains a lottery. The pp system as some have already stated is biased in favor of wy resedents old enough to purchase points at the initiation of the pp system. Future hunters and future WY residents are greatly disadvantaged in the long run. A lottery system is unbiased and incentivizes new WY hunters. If you disincentivize new hunters, you can kiss federal lands goodbye.
I would be interested in looking at your spreadsheet.
I have ran the number before and you are correct about in the long run about top tier units (~10%).
There were a few things that I didn't know how to account for in the numbers and I am curious on how you adjusted for the numbers.
I was not sure what numbers to use to adjust for those entering or exiting the pool (Via points only, switching units, moving, retiring, etc).
I imagine that I could come with an average and standard deviation from the past for the allotment of tags and the number of applicants.
I would be curious to see how you accounted for this.
Also, I would be interest in how you obtained the 1:3 number for the desert.
It is my understanding the each of the twenty years you odds would be independent of the previous years. Which to me means, that you cannot add or multiply them together. Each event is a year by year basis. The example that I have in my head is that if I apply for 10 hunts at 10% then I will draw one of them a year, which is not true. I would only have a 10% chance at drawing each of them. I do have more chances to draw, but each draw is independent of the other and in no way effects the other draw. I would be interested in how you calculated this number, because I cannot wrap my mind around how you obtained the 1:3 number.
The way that I understand that you can calculate the numbers is to take the 20 year tags and divide it by the 20 year applicants. If you take the overall tags using this years number of 71 and multiply by 20, you get 1,420 tags in twenty years. If you take this years applicants 3,007 and multiply it by 20, you get 60,140. 1,420/60,140 is 2% overall.
I may be a little off on these, so feel free to enlighten me.