Marc Benford wrote on 09/01/14 at 11:30:45:
After thinking about it for a while I came up with these penalties and bonus for pawns:
An isolated pawn gets a penalty of -0.25
A passed pawn gets a bonus of +0.5
A doubled exchangeable pawn gets a penalty of -0.25
A doubled inexchangeable pawn gets a penalty of -0.5
And concerning doubled pawns: when you have two pawns on the same file, only one of them is considered doubled and gets a penalty, the other one is not considered as a doubled pawn and doesn't receive a penalty for this.
Using this system we find all the exact same values as in the Wikipedia article (except for the h3 pawn which the Wikipedia article say is worth 0.33 while with my system we get a value of 0.25 which is pretty close anyway).
Sorry, but to me this seems to be to artificial. I can't use this as i don't think this way.
As Smyslov-Fan asks: What are you heading for?
May I cite John Nunn ("John Nunn's Chess Course", p. 116)? "Doubled pawns are in general a slight weakness, and players will normally expect some sort of compensation before accepting them [...] There are also cases in which doubled pawns are almost irrelevant."
Sounds clear but isn't. Take the opening-variation 1.e4 d6 2.d4 Nf6 3.Nc3 e5 4.dxe5 dxe5 5.Qxd8+ Kxd8 6.Bc4 Be6 7.Bxe6 fxe6: Black's doubled pawns in the e-file are by far not pretty, but they cover important central squares. This variation isn't clear after all. And that shows that doubled pawns can't be judged in Quarter-pawns manner. It's just to difficult and depends on the very position.
Axel Smith ("Pump up your rating", p. 25) gave a nice example:
White Kf3, Re1, Nd3, Ne5, Ba2, b2, c2, f4, g3, h2
Black Kg8, Rd8, Nc6, Ng6, Ba7, b6, c7, d7, g7, h7
(I'm not able to create those pretty diagrams, soory)
Here it's worse to double the pawns on g6, despite this looks most ugly (as the g6/g7-pawns hold up White's 3:2 at least as good as the g7/h7-pawns). Better is 1.Nxc6! doubling the pawns in a seemingly more compact way, but keeping the 3:2 majority on the King's side in a more flexible shape.
1... dxc6 2.f5 Nf8 3.Re7 Rd7 4.Re8 with a huge advantage for White acc to Smith.
After all: It all depends...