Results 2: Bunches
Large gap for Stanton
The batters studied had 202 occurrences of hitting HRs in consecutive games. Two HR in two games seemed a little paltry to define a "bunch," however, so we defined a "bunch" as hitting 5 or more HR in a 10-game span.
By this definition, the 23 batters had 22 "bunches" among them in their individual seasons, about 0.6% of all available 10-game spans. But only six of them had more than one bunch in a season:
Three bunches One bunch No bunches
================= ================= =================
Bautista_2011 Beltre_2012 Braun_2012
Cabrera_2012 Encarnacion_2012 Cabrera_2010
Two bunches Granderson_2011 Granderson_2012
================= Hamilton_2012 Konerko_2010
Bautista_2010 Pujols_2010 Pujols_2011
Dunn_2012 Teixeira_2011 Reynolds_2011
Kemp_2011 Uggla_2011 Votto_2010
Jose Bautista might be characterized as prone to homering in bunches, with five occurrences over his two 35+ HR seasons. But no other batter shows any evidence of unusual bunching.
If we reduce the requirements of a "bunch" to 3 or more HR in a six-game span, the number of bunches jumps to 155, but that is still less than 1% of the available three-game spans. Rare, in other words.
Results 3: Droughts
We faced a similar issue with defining a "drought." Somewhat arbitrarily, but probably generously, this research defines a HR drought as a span of 10 games in which a particular player hits no home runs.
By this definition, these 23 batters endured 74 droughts in their high-HR seasons, barely 2% of all available 10-game spans.
On average, the studied batters had maximum gap-day occurrences around 16 days.
The largest gap between HRs was 28, by Albert Pujols in 2011 (Dan Uggla's 24-game drought in 2011, and Giancarlo Stanton's 20-gamer in 2012 were the only other occurrences of gaps greater than 20 games).
The smallest maximum HR gap was 11 days, by Curtis Granderson in 2012, with Ryan Braun and Josh Hamilton both having 12-game droughts in 2012.
In all, the players averaged about 3.2 droughts per year, ranging from five for Kemp_2010, Pujols_2010 and Teixeira_2011 to seven with two droughts apiece.
But this again suggests droughts are relatively rare. Even the high of five droughts in a season is well less than 1% of available 10-game spans, and the average of around three such droughts is likewise vanishingly rare.
Further, there is no evidence that once a hitter ends a drought, he begins a bunch. The average day-gap between the HR that ended a drought and the next HR was 3.7 games. Some players Braun, Encarnacion, Granderson and Stanton averaged 1.5 games or fewer, others were at 6.0 or higher. In 2010, Encarnacion had a 14-game drought, ended it with two swats, then had a second 11-game drought.
In all these seasons and spans, only one hitter followed a drought with a bunch. Stanton went through a 20-game drought near the start of 2012, then hit five HR in his next eight games. Also in 2012, Hamilton had the reverse happen: He had eight HR in five games (including a four-tater eruption in one game), then had a 12-game drought.
The idea that these elite HR achievers follow any kind of drought-bunch pattern is simply not borne out by the evidence.
Results 4: Is There Any Pattern?
Notwithstanding the expert analysis of the former players who grace the sport's broadcast booths, there is no evidence whatever that HR hitters operate in bust-and-boom cycles.
For that reason, it is a mug's game to try to predict either the beginning or the end of either a drought or a bunch, or to assume the end of one presages the beginning of the other.
Simply put, HR hitters hit HRs in what is a random walk, with day-gaps between HR that correspond roughly to their average days per HR. A 27-HR guy will hit one HR about every six games, with random variation to either side of that mean. If he hasn't hit one for eight games, he is still not any more (or less) likely to hit one in the ninth, or the tenth. He will have a few streaks where he goes without longer than expected, and a few streaks where he hits more frequently than expected.
Now, what's all this about rising fastballs and balls that "pick up speed" after they're hit?
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