322 Species
model. In the second case (B), they allowed stochastic extinction, and the surpris-
ing result here is that the clustering, while tighter, still spreads out evenly. In the
third case (C), however, they allowed logistic diversification, equivalent to “niche
packing” according to carrying capacity, and now we see the scatter of clusters that
we do find in genotypic space in asexual lineages. A fourth case (D) allowed devel-
opmental entrenchment, in which the longer the trait (in our case, gene sequence) has
been in the lineage, the less likely it is to go extinct, and the clustering is even more
diverse and tightly packed. Since A and B are stochastic, while the other two cases
answer to selection for niche occupancy and internal cohesion respectively, there is
little help to be garnered from simple stochasticity, and we must consider the other
two cases separately.
However, as this is only a simulation, other realistic factors not included here,
such as differential extinction due to habitat fracturing, may still form clusters in a
stochastic manner. There can be, and must certainly often be, other reasons why the
carpet is not smooth but patchy. Extinction can cause there to be patches in genome
space. Some varieties die out. While this can be because of selection, often it will
be due to plain old genetic drift, and contingency. A lineage of asexual genomes can
stochastically drift due to random biases in mutational direction, for instance, while
earlier forms can go extinct simply because of random drift or random termination
of that clone. Moreover, if a genome evolves in a habitat that is sensitive to sudden
Snapshots of morphospace 1 Separation Clustering
11
1
11
1
1
0.5 0.5
0.5
0.5
0.5 0.5
0.5
0.5
0 0
0
0
(^0000)
(^000)
(^00)
05
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5
55
1
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35
510
10
100200
A
C
B
D
Figure 13.3 Pie and Weitz’ simulation of speciation.
four assumptions. A. Speciation without extinction. B. Speciation and stochastic extinction.
C. Speciation, extinction, and logistic diversification. D. A−C plus developmental entrenchment.
The column “Separation” indicates the mean pairwise distance between taxa (solid line) and
the mean pairwise distance squared (dotted line). The column “Clustering” indicates cluster
size distribution over time. Note that under developmental entrenchment, mean separation
decreases after initial increase.