While there can be many ways to measure a position player’s offensive value, one method could be to evaluate the proportion of his team’s runs that are attributable to his own offensive contributions, a quantity that might be described as “Run Share”. That approach identifies these players as most valuable to their teams in 2013.

Those selections were based on FanGraphs‘ version of Runs Created (wRC), represented as a proportion of the actual runs that the player’s team scored. After the jump, more on Run Shares as a measure of offensive value.

As neither Trout’s Angels nor Goldschmidt’s D-Backs were serious contenders in 2013, a valid complaint about this method could be that a player’s contribution to a losing season is largely irrelevant in that the team still lost. The rebuttal would be that a player can only work within his own context. If he’s on a lousy team, even his most herculean effort will not make his team a winner. Nonetheless, the contribution a player makes to his team’s success (however modest that success may be) ought to be recognized, and this is one way to do it.

Here are the league leaders in Run Share for each season since 1901 (only seasons played for a single team are considered). First for the AL.

AL0123456789
2010sJose Bautista - 17.7%Jose Bautista - 18.7%Miguel Cabrera - 18.9%Mike Trout - 19.1%
2000sCarlos Delgado - 20.2%Jason Giambi - 18.3%Jim Thome - 19.2%Dmitri Young - 17.9%Ichiro Suzuki - 17.8%Alex Rodriguez - 17.0%David Ortiz - 17.3%David Ortiz - 17.2%Nick Markakis - 15.5%Miguel Cabrera - 16.7%
1990sRickey Henderson - 17.1%Frank Thomas - 19.3%Frank Thomas - 18.7%Ken Griffey Jr. - 19.1%Frank Thomas - 21.8%Edgar Martinez - 19.1%Mark McGwire - 16.5%Frank Thomas - 18.7%Albert Belle - 17.4%Derek Jeter - 16.9%
1980sRickey Henderson - 16.3%Dwight Evans - 17.9%Dwight Evans - 17.9%Wade Boggs - 17.8%Eddie Murray - 17.9%George Brett - 19.5%Don Mattingly - 17.7%Wade Boggs - 17.5%Eddie Murray - 18.9%Robin Yount - 16.7%
1970sFrank Howard - 20.9%Bobby Murcer - 18.4%Dick Allen - 21.7%Frank Robinson - 15.9%Rod Carew - 17.4%John Mayberry - 18.2%Rusty Staub - 16.7%Mitchell Page - 17.7%Jim Rice - 17.7%Ken Singleton - 16.5%
1960sMickey Mantle - 16.2%Norm Cash - 20.0%Norm Siebern - 17.2%Carl Yastrzemski - 17.4%Rocky Colavito - 18.0%Rocky Colavito - 16.6%Frank Robinson - 19.4%Carl Yastrzemski - 19.9%Frank Howard - 20.8%Frank Howard - 19.5%
1950sEddie Yost - 18.1%Ted Williams - 18.2%Eddie Robinson - 17.7%Al Rosen - 19.3%Ted Williams - 18.7%Mickey Mantle - 18.0%Mickey Mantle - 19.1%Mickey Mantle - 21.7%Roy Sievers - 18.6%Harmon Killebrew - 17.1%
1940sHank Greenberg - 18.0%Ted Williams - 20.7%Ted Williams - 22.1%Luke Appling - 18.3%Stan Spence - 19.1%Snuffy Stirnweiss - 17.3%Ted Williams - 21.0%Ted Williams - 23.6%Ted Williams - 17.2%Ted Williams - 20.3%
1930sLou Gehrig - 18.2%Earl Webb - 20.0%Jimmie Foxx - 19.7%Jimmie Foxx - 19.4%Lou Gehrig - 21.6%Jimmie Foxx - 22.1%Jimmie Foxx - 20.9%Harlond Clift - 18.8%Jimmie Foxx - 19.7%Bob Johnson - 19.3%
1920sBabe Ruth - 22.8%Babe Ruth - 22.6%George Sisler - 17.5%Babe Ruth - 25.6%Babe Ruth - 24.2%Al Simmons - 18.1%Babe Ruth - 21.7%Lou Gehrig - 20.4%Babe Ruth - 19.5%Lew Fonseca - 17.9%
1910sNap Lajoie - 24.6%Joe Jackson - 21.9%Joe Jackson - 22.1%Joe Jackson - 21.2%Tris Speaker - 21.1%Burt Shotton - 19.0%Amos Strunk - 21.3%Ty Cobb - 21.8%George Burns - 21.4%Babe Ruth - 22.5%
1900sNap Lajoie - 19.5%Ed Delahanty - 18.0%Sam Crawford - 18.7%Nap Lajoie - 18.9%George Stone - 19.6%George Stone - 22.0%George Stone - 18.6%Charlie Hemphill - 16.8%Ty Cobb - 18.9%
.

And for the NL.

NL0123456789
2010sAlbert Pujols - 18.3%Matt Kemp - 20.2%Andrew McCutchen - 19.0%Paul Goldschmidt - 18.7%
2000sSammy Sosa - 19.1%Barry Bonds - 25.0%Barry Bonds - 23.5%Barry Bonds - 19.6%Barry Bonds - 21.6%Derrek Lee - 21.3%Albert Pujols - 18.2%Albert Pujols - 18.5%Albert Pujols - 18.7%Albert Pujols - 20.8%
1990sLenny Dykstra - 17.3%Jeff Bagwell - 16.5%Ryne Sandberg - 19.1%Barry Bonds - 19.5%Tony Gwynn - 21.1%Barry Bonds - 19.6%Gary Sheffield - 22.8%Mike Piazza - 19.0%Mark McGwire - 21.7%Jeff Bagwell - 19.3%
1980sMike Schmidt - 17.4%Mike Schmidt - 19.1%Mike Schmidt - 17.3%Pedro Guerrero - 17.3%Dale Murphy - 18.9%Dale Murphy - 20.1%Tim Raines - 17.9%Tony Gwynn - 19.5%Andres Galarraga - 17.7%Lonnie Smith - 18.7%
1970sRusty Staub - 17.3%Hank Aaron - 19.3%Nate Colbert - 19.5%Ken Singleton - 18.1%Mike Schmidt - 18.3%Greg Luzinski - 17.0%Bill Madlock - 16.9%George Foster - 17.3%Jeff Burroughs - 19.2%Dave Winfield - 20.7%
1960sWillie Mays - 17.7%Frank Robinson - 17.9%Frank Robinson - 18.8%Hank Aaron - 20.2%Ron Santo - 20.0%Billy Williams - 20.5%Ron Santo - 19.6%Hank Aaron - 19.1%Hank Aaron - 19.8%Rusty Staub - 22.0%
1950sStan Musial - 20.2%Stan Musial - 22.4%Ralph Kiner - 20.8%Stan Musial - 20.1%Willie Mays - 19.3%Willie Mays - 20.4%Willie Mays - 20.6%Willie Mays - 21.3%Willie Mays - 18.8%Hank Aaron - 20.0%
1940sJohnny Mize - 19.3%Nick Etten - 21.0%Bill Nicholson - 18.6%Stan Musial - 20.5%Ron Northey - 19.5%Tommy Holmes - 20.2%Stan Musial - 20.4%Ralph Kiner - 19.5%Stan Musial - 23.5%Ralph Kiner - 22.6%
1930sBabe Herman - 20.7%Wally Berger - 22.3%Babe Herman - 21.0%Chuck Klein - 23.9%Paul Waner - 18.8%Arky Vaughan - 20.4%Mel Ott - 20.1%Joe Medwick - 19.4%Mel Ott - 20.3%Johnny Mize - 19.8%
1920sRogers Hornsby - 20.0%Rogers Hornsby - 20.0%Rogers Hornsby - 21.6%Billy Southworth - 16.9%Rogers Hornsby - 23.6%Rogers Hornsby - 20.9%Hack Wilson - 17.0%Rogers Hornsby - 18.5%Rogers Hornsby - 24.7%Lefty O'Doul - 19.8%
1910sSherry Magee - 18.8%Frank Schulte - 16.9%Bill Sweeney - 17.7%Gavvy Cravath - 17.2%Gavvy Cravath - 16.6%Gavvy Cravath - 18.8%Bill Hinchman - 18.8%Max Carey - 18.8%Jake Daubert - 17.2%Rogers Hornsby - 18.6%
1900sTopsy Hartsel - 22.0%Roy Thomas - 19.8%Jimmy Sheckard - 18.2%Harry Lumley - 18.1%Cy Seymour - 18.6%Harry Lumley - 19.2%Ginger Beaumont - 18.7%Red Murray - 22.6%Al Burch - 16.3%
.

For those keeping score, here are the players to lead their league on multiple occasions.

Leader AL  NL Total
Rogers Hornsby   8 8
Ted Williams 8 8
Babe Ruth 7   7
Barry Bonds 6 6
Stan Musial   6 6
Willie Mays 6 6
Albert Pujols   5 5
Hank Aaron 5 5
Jimmie Foxx 5   5
Frank Thomas 4 4
Mickey Mantle 4   4
Mike Schmidt 4 4
Frank Robinson 2 2 4
Frank Howard 3 3
Gavvy Cravath   3 3
George Stone 3 3
Joe Jackson 3   3
Lou Gehrig 3 3
Nap Lajoie 3   3
Ralph Kiner 3 3
Rusty Staub 1 2 3
Babe Herman 2 2
Carl Yastrzemski 2   2
Dale Murphy 2 2
David Ortiz 2   2
Dwight Evans 2 2
Eddie Murray 2   2
Harry Lumley 2 2
Jeff Bagwell   2 2
Johnny Mize 2 2
Jose Bautista 2   2
Mel Ott 2 2
Miguel Cabrera 2   2
Rickey Henderson 2 2
Rocky Colavito 2   2
Ron Santo 2 2
Tony Gwynn   2 2
Ty Cobb 2 2
Wade Boggs 2   2
Ken Singleton 1 1 2

For consistency in ranking among the league leaders, these are the players appearing most often in their league top 10 in Run Share. First, the top 25 and ties for the AL.

Player 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th Total
Tris Speaker 1 3 2 4 4 1       1 16
Ty Cobb 2 6 1 2 2 1 1 15
Ted Williams 8 2 1     2 1       14
Lou Gehrig 3 4 1 1 2 1 1 13
Mickey Mantle 4 1 1 1 2 1 1   1 1 13
Babe Ruth 7 2 1 1 1 1 13
Eddie Collins   1 1 1 3 3 1 1   1 12
Sam Crawford 1 2 1 1 4 1 1 11
Harmon Killebrew 1 2 2 1 1     1 1 2 11
Jimmie Foxx 5 1 1 1 1 1 10
Luke Appling 1   1 1 2 2 1   1 1 10
Carl Yastrzemski 2 1 1 1 1 2 2 10
Bob Johnson 1   1 1 2 2   1 1 1 10
Al Kaline 2 1 1 2 1 3 10
Charlie Gehringer   1 1   1 4   1 1   9
Rafael Palmeiro 2 2 2 1 2 9
Frank Thomas 4 2 1   1 1         9
Alex Rodriguez 1 2 1 1 1 2 1 9
Edgar Martinez 1 1 2         1 1 2 8
Eddie Yost 1 3 1 1 1 1 8
Eddie Murray 2   1 2     1     2 8
Al Simmons 1 1 2 1 2 1 8
Nap Lajoie 3   1 1 1   2       8
Ken Griffey Jr. 1 1 1 1 3 1 8
Harry Heilmann   1 4       1 1   1 8
George Brett 1 1 1 3 1 1 8

And, the same for the NL.

Player 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th Total
Stan Musial 6 3 1   3 2         15
Hank Aaron 5 2 1 3 1 1 1 1 15
Mel Ott 2 4 2 3 1 1 1       14
Mike Schmidt 4 1 1 4 1 2 13
Barry Bonds 6 1 3 1   1   1     13
Willie Mays 6 2 1 2 1 1 13
Rogers Hornsby 8 2 1 1             12
Paul Waner 1 2 1 2 2 1 1 1 1 12
Honus Wagner   2 1 4 1     1 1 2 12
Eddie Mathews 2 2 1 1 1 1 1 2 11
Zack Wheat   2   1 3 3   1     10
Albert Pujols 5 2 1 1 9
Johnny Mize 2 1 2 1   1   1 1   9
Jeff Bagwell 2 2 1 2 1 1 9
Billy Williams 1 2 3   1 2         9
Chipper Jones 1 2 2 2 1 8
Richie Ashburn   1 1 1   1 1 2 1   8
Ralph Kiner 3 2 1 2 8
Edd Roush     1 1 1   2 1   2 8
Max Carey 1 1 2 3 1 8
Sherry Magee 1 2   1 1 1   1   1 8
Jake Daubert 1 1 2 1 1 1 7
Ron Santo 2   2 1           2 7
Dale Murphy 2 2 2 1 7
Wally Berger 1 2   1 1     1 1   7
Babe Herman 2 1 1 1 2 7
Frank Robinson 2 1     1 1 1 1     7
Pete Rose 2 1 1 1 2 7
Lance Berkman   2 1     2   1 1   7
Cy Williams 1 2 1 1 1 1 7
Willie McCovey   1 1   1   3     1 7
Arky Vaughan 1 3 2 1 7
Tony Gwynn 2   1   1       2 1 7
Joe Morgan 2 3 2 7

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