The Quota System and the Stableford System are two common
methods for tournament scoring. In the
Quota System a player is given a quota equal to 36 minus his handicap (e.g., a
15 handicap would have a quota of 21).
As shown in the table below, a player earns points based on his gross
score on each hole. A player’s
tournament score is the total of points earned minus his quota. For example, if a player earned 24 points
with a quota of 21, his tournament score would be +3. In the Stableford System, a player earns
points on his net score as shown in the table. The total number of points
earned is his tournament score.
Table
Points for Quota System and Stableford
System
Quota System

Stableford System


Gross Double Eagle

5

Net Double Eagle

5

Gross Eagle

4

Net Eagle

4

Gross Birdie

3

Net Birdie

3

Gross Par

2

Net Par

2

Gross Bogey

1

Net Bogey

1

Gross Double Bogey

0

Net Double Bogey

0

It would seem a system based on gross scores would not
necessarily produce the same winners as one based on net scores. A closer analysis reveals that is not the
case. (For simplicity, eagles and double
eagles have been excluded from the proof.)
The Quota System is described by equation 1):
1)
Q= 3∙(X_{s} + X_{n}) + 2∙
(P_{s} + P_{n}) +1∙(B_{s} +B_{n}) –
(36H)
Where,
Q= Quota Score
X_{s} = Number of
birdies on stroke holes
X_{n} = Number of
birdies on nonstroke holes
P_{s} = Number of pars
on stroke holes
P_{n} = Number of pars
on nonstroke holes
B_{s} = Number of Bogeys
on stroke holes
B_{n} = Number of Bogeys
on nonstroke holes
The Stableford system is described by equation 2):
S = 4∙X_{s} + 3∙X_{n} + 3∙P_{s}
+2∙P_{n} + 2∙B_{s} + 1∙B_{n} + 1∙D_{s}
Where,
S = Stableford Score
D_{s}
= Number of Double Bogeys on stroke holes
Now a player’s handicap must equal:
H = X_{s} +P_{s} + B_{s }+ D_{s}
Substituting equation 3) into equation 2):
S = H + 3∙X_{s} + 3X_{n }+ 2∙P_{s} + 2∙P_{n}
+ 1∙B_{s}
+1∙B_{n}
The difference between a player's Stableford score and his Quota score is shown in equation 5):
S – Q = H + 3∙(X_{s} + X_{n}) 2∙(P_{s}
+ P_{n}) + 1∙(B_{s} +B_{n}) – (3∙(X_{s} +X_{n})
+ 2∙(P_{s}
+ P_{n}) + 1∙(B_{s} +B_{n})  (36 – H)) = 36
In summary, a player’s Stableford score will be 36 points
higher than his Quota score. The rank
order of player scores, however, will be the same under both systems.