Can you explain how/why d3 is equal to d4?
Start position=22
d3 diff= +5 [pawn control (c4, e4)] + [bishop control (f4, g5, h6)]
27/22=0.227 (0.23)
d4 diff=+ 6 [pawn control (c5, e5)] + [bishop control (f4, g5, h6)] + [queen control (d4)]
28/22=0.272 (0.28)
Hey Dan, thanks for your interest and this correction! I calculated quickly and forgot to count d4, controlled by the queen, in the case of 1. d4.
There are engine evaluations as well as statistical evaluations of openings:
https://www.chess.com/forum/view/chess-openings/statistical-sharpness-and-evaluation
In this topic, I wanna introduce the new measure called positional evaluation.
Definition 1. A square on the chessboard is said to be partially controlled by white (resp. black) when this square is under direct attack by a certain white (resp. black) piece.
Example 1. There are 22 squares (b1-g1, a2-h2, a3-h3) partially controlled by white in the initial position. Formally speaking, a1 and h1 are not defended by other pieces and are not considered to be partially controlled (despite the fact that white rooks occupy these squares). In the same manner, black also controls 22 squares in the initial position.
Let W (resp. B) be the number of squares partially controlled by white (resp. black) in a certain position with the equal material for white and black (otherwise the material difference should be added to pev).
Definition 2. The positional evaluation (pev) is defined by the formulas
pev = W/B - 1 if W >= B
pev = 1 - B/W if B >= W
Example 2. In the King's Pawn opening:
we have W=29, B=22, so pev=+0.32.
Positional evaluations of the first move:
Refined positional evaluations, taking into account the effectiveness and kingside/queenside separation, are defined here:
https://www.chess.com/forum/view/chess-openings/refined-positional-evaluation#last_comment