What level of population makes something scarce?

It used to be that for something to be considered scarce it needed to have a single-digit population. However these days, there are very few stars in any sport that still have single-digit populations. Most stars from the 50's and 60's are well into the double digits, with only certain rarely-submitted commons still having single-digit populations.
So how do you definte scarcity when nothing seems to truly be scarce any more?
So how do you definte scarcity when nothing seems to truly be scarce any more?
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If the card you are looking at has less submissions than what is normal for the set and the set itself is scewed heavily to the right there is a good chance the card is just under submitted and more high grade cards are either waiting to come in or sitting out there raw due to the fact it isn't worth the cost sending them in.
For mature sets like say 33 Goudey or 61 Topps where almost every card has 30 to 50 submissions you can really see which cards are not normally distributed compared against the entire sets normal distribution and therefore are truely harder to find in good condition. For young sets where normally only HOF and star cards are submitted you must assume that the only reason for a non stars card to be a low pop is indifference not rarity.
I usely compare the number of high end cards (grades 7 and above for older sets) to the total submitted and take a weighted average (correcting for the difference in sample size for each card) I use this weighted average to tell me which cards might be actual rarities and which ones just are reputation (61 Gibbon anyone?)
55 set,
brooklyn dodgers set
topps 50's run
55 topps/55 bowman dodgers
48-57 decade of dodgers
he was also world series MVP
RB
Buying Vintage, all sports.
Buying Woody Hayes, Les Horvath, Vic Janowicz, and Jesse Owens autographed items
<< <i>So how do you definte scarcity when nothing seems to truly be scarce any more? >>
I consider something scarce relative to demand, when demand outpaces supply. If something has a pop of 20 but no one is selling, while at the same time there are many buyers looking for the item, then buyers would say that the item is scarce, or hard to find.
At the same time if a card is a pop 2 and one is on eBay 24-7. It is not scarce, relative to demand.
I may not have the Webster's definition but that's how I define it.
Mike
Kirby Puckett Master Set