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Here is a recap of the 2012 Chicago Bears season.  Notice anything strange? Trick question!

Score
Week Day Date OT Rec Opp Tm Opp
1 Sun September 9 boxscore W 1-0 Indianapolis Colts 41 21
2 Thu September 13 boxscore L 1-1 @ Green Bay Packers 10 23
3 Sun September 23 boxscore W 2-1 St. Louis Rams 23 6
4 Mon October 1 boxscore W 3-1 @ Dallas Cowboys 34 18
5 Sun October 7 boxscore W 4-1 @ Jacksonville Jaguars 41 3
6 Bye Week
7 Mon October 22 boxscore W 5-1 Detroit Lions 13 7
8 Sun October 28 boxscore W 6-1 Carolina Panthers 23 22
9 Sun November 4 boxscore W 7-1 @ Tennessee Titans 51 20
10 Sun November 11 boxscore L 7-2 Houston Texans 6 13
11 Mon November 19 boxscore L 7-3 @ San Francisco 49ers 7 32
12 Sun November 25 boxscore W 8-3 Minnesota Vikings 28 10
13 Sun December 2 boxscore L OT 8-4 Seattle Seahawks 17 23
14 Sun December 9 boxscore L 8-5 @ Minnesota Vikings 14 21
15 Sun December 16 boxscore L 8-6 Green Bay Packers 13 21
16 Sun December 23 boxscore W 9-6 @ Arizona Cardinals 28 13
17 Sun December 30 boxscore W 10-6 @ Detroit Lions 26 24

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If you don’t play fantasy football, you probably have no idea what this title means. Of course, it’s 2013, so if you don’t play fantasy football, you’re now the oddball. “PPR” stands for points per reception. About half of all fantasy leagues do not give any points for receptions, while the other half includes some sort of PPR format. And while the value of every player is dependent on each league’s scoring system, few players see their value fluctuate between scoring systems quite like Wes Welker. Or, at least, that’s how it seems. Is there a way to measure this effect?

First, a review of Welker’s numbers since he joined the Patriots:

Games Receiving
Rk Player Year Age Draft Tm Lg G GS Rec Yds Y/R TD Y/G
1 Wes Welker 2012 31 NWE NFL 16 12 118 1354 11.47 6 84.6
2 Wes Welker 2011 30 NWE NFL 16 15 122 1569 12.86 9 98.1
3 Wes Welker 2010 29 NWE NFL 15 11 86 848 9.86 7 56.5
4 Wes Welker 2009 28 NWE NFL 14 13 123 1348 10.96 4 96.3
5 Wes Welker 2008 27 NWE NFL 16 14 111 1165 10.50 3 72.8
6 Wes Welker 2007 26 NWE NFL 16 13 112 1175 10.49 8 73.4

Welker doesn’t get many touchdowns, and while he has respectable yardage totals, he is only exceptional when it comes to piling up receptions. Welker has 672 receptions over the last six seasons, easily the most in the NFL (in fact, it’s the most ever over any six-year stretch). Brandon Marshall (592) and Reggie Wayne (578) are the only two players even within 100 catches of Welker. Over that same time frame, he ranks 4th in receiving yards, but only tied for 17th in receiving touchdowns.

Giselle approves of Welker's form

Giselle approves of Welker's form.

So how can we measure how much more valuable Welker is in PPR-leagues than non-PPR leagues? One way is to use VBD, which is a measure of how much value a player provided over the worst starter (or some other baseline). For example, Welker scored 173 fantasy points and ranked as WR12 in non-PPR leagues last season. If you are in a start-three wide receiver league, the worst starter would be WR36, who scored 111 fantasy points. That means Welker provided 62 points of VBD.
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