"At least above a certain threshold, value becomes non-linear. So you can't compare Pujols' .880 score to Carl Crawford's .760 score and go "yep...Pujols = 8/7 of Crawford!" Well simple kinematics(http://en.wikipedia.org/wiki/Kinematics) will tell you v0+v1dt. Which of course has t being fed a square of itself so yeah their is your non linear value. And you can also say that If you put a entire lineup of Pujols then you can't really pitch around Pujols which will lead to more hits overall. How significant would this be? Well if Pujols never walked, you could estimate a lineup of Pujols ceiling by just taking OBP-AVG*(0.25*2+0.5+0.25*4) and then add to current SLG which would translate the overall slg to 0.89. Factoring in the sb of 0.03986710963455149501661129568106 you would get ~0.902 bases / ab. Oddly enough that's just a 6% difference from his current SLGBBSB. But of course no team can afford a lineup full of pujols. Now keep in mind baseball stats always have at least two players(one for each team). This of course means within this information you are capturing the moves done for each respective side. For example pitcher intentially walks Pujols. Which of course means that if you don't have a lineup stacked with sluggers then the running game on bases needs to be weighed equally(since the pitcher has the choice whether to pitch to pujols). And like hitting, running around the bases always has a non linear dynamic in the sense that if you are 10 percent faster you have a bigger window of oppurtunity. So yeah I think their is the fact that more power will allow the player to have more hr oppurtunity which is the same as the faster runner have the more SB oppurtunity but the baseball data is capturing two moves at once. And even if you eliminated the BB's all together from Pujols(which is a difficult feat) you would only gain 6% which isn't a big amount in the context of the SLGBBSB total. However let's look at one more player that could benifit most from what your trying to describe. 2001 Barry Bonds. Let's assume you have a whole lineup of Barry bonds and you can't pitch around him. .863 + .515-.328 *(0.5*4+0.25*2+0.25+1) ~ 1.19025 bases / AB. In other words, you want to walk bonds because otherwise he will get more then a single base.