Gould, Trends as Changes in Variance: A New Slant on Progress and Directionality in Evolution

GOULD-PRESIDENTIAL ADDRESS
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FIGURE 7 -- Symmetrical decrease of variation in batting averages to eliminate extreme values at both tails of the distribution. Upper half: difference between five highest averages and league mean averaged by decade. Lower half: difference between average for five lowest hitters and league mean averaged by decade.
STANDARD DEVIATION OF BATTING AVERAGES FOR REGULAR PLAYERS
FIGURE 8 -- Standard deviation of batting averages for an full-time players (two at bats or more per game) by year for the first hundred years of professional baseball, both leagues. Note the regular decline.

that "winning" lineages survived for cause--in particular, that they triumphed in the great Darwinian battle of competition under the metaphor of the wedge. Mass extinction has been read as an unusual stress that only the best designed could weather. The pattern of reduced disparity with constant diversity has been seen as even better evidence for success of anagenetic lineages in Darwinian struggle--for here no externality of catastrophic environmental change interceded, and the gradual disappearance of some must record the progressive triumph of others (but see Benton, 1987).

An alternative--random plucking--provides an interpretation more in accord with my theme that reduction in variance itself (not the predictable virtues of winners) sets the character of trends. The Alvarez hypothesis (Alvarez et al., 1980) has inspired a flood of suspicion that, if extinctions are more rapid, profound, and unusual in their environmental triggers than formerly recognized, then the loss of many groups may be fundamentally nonselective (either truly random in the mathematical sense, or at least fortuitous because features evolved for conventional selective reasons in normal times happened, by exaptive good fortune, to enhance survival in episodes of extraordinary stress). As for the Burgess oddballs, no one (and not for lack of trying) has been able to suggest a shred of evidence that losers were, in any sense, more anatomically inefficient or ultraspecialized than survivors (Conway Morris, 1986). Wind back life's tape to the Burgess (first erasing what actually came later), let it play again, and this time a quite different cast might emerge. If the cast lacked Pikaia, the first chordate, we might not be here--and the world would be no worse.

The obvious objection to random plucking as an alternative to selective success holds that we are trying to explain trends, not just any old pattern--and that random removals should lead to a reestablished fauna different (of course) in specifics but not in directional character from the pre-extinction version. True

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