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Evolution__3rd_Edition

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598 PART 5 / Macroevolution<br />

(a)<br />

5<br />

Beak size<br />

4<br />

3<br />

2<br />

1<br />

0<br />

0 1 2 3 4<br />

Time interval<br />

Figure 21.4<br />

The inverse relation between measured evolutionary rate and<br />

time interval (Figure 21.3) will be found if the direction of<br />

evolution fluctuates through time. (a) Simplified cycle of<br />

evolutionary change. The rate of change measured for short<br />

time units is higher than for the cycle as a whole, there is no<br />

net change over the cycle, and the rate of evolution is zero. The<br />

numbers under “measurement interval” in the table refer to<br />

Other factors may contribute too<br />

Some trends ...<br />

(b)<br />

Character<br />

Time<br />

Measurement interval<br />

Rate of<br />

evolution<br />

change over a cycle, but if there are any fluctuations in evolutionary direction (Figure<br />

21.4b) it will be true that a rate measured over a shorter interval will be higher. Likely<br />

almost all evolutionary lineages show some reversals in the direction of change, and the<br />

pattern illustrated by Darwin’s finches may be quite common. This would explain the<br />

general relation in Figure 21.3.<br />

Other factors may be contributing. For instance, the cases of rapid evolution over<br />

short time intervals are for artificial selection experiments (dataset I) and natural ecological<br />

colonizations (dataset II); it may be that these are extraordinary events and have<br />

higher than average selection intensities. (Alternatively, however, it might be argued<br />

that the rates are high only because the measurement interval is short enough to<br />

catch evolution in its unidirectional phase, and not because the intensity of selection is<br />

peculiar. Opinions differ about how representative the selection intensities in datasets<br />

I and II are of those in the lineages making up datasets III and IV.)<br />

This interpretation, if it is correct, matters for some kinds of generalizations about<br />

evolutionary rates, but not others. It does not invalidate the measurements themselves.<br />

In the 14 million years between Epihippus gracilis and Mesohippus bairdii, horse teeth<br />

evolved at a rate of 0.023–0.037 darwins (Figure 21.1), and that is that. All questions<br />

about individual measurements, and comparisons between them, remain valid. It is<br />

for the more general patterns that Gingerich’s result should make us suspicious. The<br />

generalization that mammals evolve faster than mollusks, for example, is reflected in<br />

Gingerich’s data. He found that vertebrates as a whole tended to evolve faster than<br />

invertebrates (compare the mean rates of evolution for the two groups in Table 21.1).<br />

While it remains true that in the samples measured vertebrates did evolve 1.14 times<br />

as fast as invertebrates, this might mainly be due to the shorter time intervals for the<br />

1 unit<br />

2 units<br />

3 units<br />

4 units<br />

Within<br />

1 or 2 or 3 or 4<br />

1 + 2<br />

2 + 3<br />

3 + 4<br />

1 + 2 + 3<br />

2 + 3 + 4<br />

1<br />

0<br />

1 av. 1/3<br />

0<br />

1/3<br />

1/3<br />

1 + 2 + 3 + 4 0<br />

the time intervals in the x-axis of the graph (the arbitrary<br />

beak size units can be thought of as logarithmic, to make<br />

the rates properly comparable with the formula for<br />

calculating rates in Section 21.1). (b) With a more<br />

realistic pattern of evolution, the inverse relation<br />

between rate and measurement interval will still<br />

be found to some extent if there are any fluctuations<br />

in the direction of change.<br />

..

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