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Clade size is not always an appropriate measure of diversification

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Clade size is not always an

appropriate measure of diversification

Markus Englund

Department of Botany, Stockholm University, SE-10691 Stockholm, Sweden;

E-mail: markus.englund@botan.su.se

Lanfear et al. [1] reported an interesting association between mutation rate and net diversification in birds that had not been as evident in other groups of organisms. More specifically, their data showed a correlation between synonymous substitution rate and net diversification that cannot be explained by selection, effective population size, or some plausibly covarying life-history trait. To arrive at these results, the authors used a sister-pairs approach [adopted from ref. 2] to examine the relationships between rates of molecular evolution, net diversification, and life-history traits across 32 pairs of bird families. Unfortunately, however, Lanfear et al. [1]mistakenly equated clade size with net diversification, which may possibly obscure some of their findings.

The strength of the sister-pairs approach is the ability to control for phylogenetic nonindependence. By pruning the phylogenetic tree so that the two families in each sister-pair are represented by exactly the same number of species, Lanfear et al. [1]

additionally managed to get around the undesirable node- density effect [e.g., ref. 3].

What the authors missed, however, was taking into account how much diversification the remaining species actually represent.

To see how this can be a problem, consider the hypothetical case shown in Fig. 1, with two families being sisters and comprising four and eight species, respectively. Assume that a single species c is arbitrarily chosen to represent family 1, whereas species e is the arbitrary representative of family 2. Even if e represents the largest family, the lineage leading to that species has encountered two fewer net speciation events (net diversification events) since the separation of the families than the lineage leading to c.

Thus, family size (four and eight species, respectively) does in this case not correspond very well to the number of net speciation events that has taken place in each separate lineage (three speciation events and one speciation event, respectively).

The easiest way to overcome the problem is to simply use net speciation events along a lineage as a measure of net diversification instead of clade size. Uncertainty in the number of net speciation events due to phylogenetic uncertainty may, for example, be accounted for by using a Bayesian tree sample or by considering every possible topology.

What implications this may have for the conclusions reached by Lanfear et al. [1] is hard

This is the final draft of a letter to PNAS, published on April 26, 2011 in vol. 108 no. 17 E84; doi:

10.1073/pnas.1100962108

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a b c d e f g h i j k l

Family 1 Family 2

Figure 1. Hypothetical example showing the true relationship of a sister-pair of two monophyletic families. All extant species are included and represented by lowercase letters (a–l ). The filled square indicates the primary speciation event that led to sep- aration into the two families; filled circles represent other speciation events. Selected representative species (c and e, respectively) and the lineages associated with these are shown in black. Refer to the text for a discussion.

to say, but supposing the correlation between molecular rates and net diversification is real, at least that relationship should become more obvious in a reanalysis of their data.

References

[1] Lanfear R, Ho SYW, Love D, Bromham L (2010) Mutation rate is linked to diver- sification in birds. Proc Natl Acad Sci USA 107:20423–20428.

[2] Lanfear R, Welch JJ, Bromham L (2010) Watching the clock: Studying variation in rates of molecular evolution between species. Trends Ecol Evol 25:495–503.

[3] Hugall AF, Lee MS (2007) The likelihood node density effect and consequences for evolutionary studies of molecular rates. Evolution 61:22932307.

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References

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