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Research Article

Pairwise comparisons across species are problematic when analyzing functional genomic data

View ORCID ProfileCasey W. Dunn, Felipe Zapata, View ORCID ProfileCatriona Munro, Stefan Siebert, and View ORCID ProfileAndreas Hejnol
PNAS January 16, 2018 115 (3) E409-E417; first published January 4, 2018; https://doi.org/10.1073/pnas.1707515115
Casey W. Dunn
aDepartment of Ecology and Evolutionary Biology, Brown University, Providence, RI 02912;
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  • ORCID record for Casey W. Dunn
  • For correspondence: casey.dunn@yale.edu
Felipe Zapata
bDepartment of Ecology and Evolutionary Biology, University of California, Los Angeles, CA 90095;
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Catriona Munro
aDepartment of Ecology and Evolutionary Biology, Brown University, Providence, RI 02912;
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  • ORCID record for Catriona Munro
Stefan Siebert
cDepartment of Molecular and Cellular Biology, University of California, Davis, CA 95616;
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Andreas Hejnol
dSars International Centre for Marine Molecular Biology, University of Bergen, Bergen 5006, Norway
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  • ORCID record for Andreas Hejnol
  1. Edited by David M. Hillis, The University of Texas at Austin, Austin, TX, and approved December 1, 2017 (received for review May 8, 2017)

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    Fig. 1.

    Pairwise and phylogenetic comparative approaches illustrated on an example gene tree with multiple genes per species. The internal nodes of the tree are speciation and gene duplication events. (A) Many comparative functional genomic studies rely on pairwise comparisons, where traits of each gene are compared with traits of other genes across species. This leads to many more comparisons than unique observations, making each comparison dependent on others. (B) Comparative phylogenetic methods, including PICs (2), make a smaller number of independent comparisons, where each contrast measures independent changes along different branches. Phylogenetic approaches are rarely used for functional genomic studies.

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    Fig. 2.

    Pairwise (A, C, and E) and phylogenetic (B, D, and F) analyses of the original data (A and B), data simulated under the null hypothesis (C and D), and data simulated under the ortholog conjecture (E and F). In the pairwise plots, each point indicates the correlation coefficient of tau for a set of pairwise comparisons annotated with a specific node name (e.g., Primates) and event type (speciation or duplication, giving rise to orthologs and paralogs, respectively). The phylogenetic plots show the difference between the density distributions for tau phylogenetic contrasts for speciation and duplication events, where a value above zero indicates an excess of speciation contrasts in the indicated interval. A horizontal line at zero would indicate that the density distributions are identical. A reproduces the pattern presented in figure 2A of the work by KMRR (16) of higher correlation across speciation events than duplication events, which they took as evidence of the ortholog conjecture. The recovery of a similar pattern under both simulations (C and E) indicates that this pairwise approach does not make distinct testable predictions. The phylogenetic analysis of the original data (B) does not show an excess of larger contrasts for duplication events and does not reject the null hypothesis, providing no support for the ortholog conjecture. D and F validate the phylogenetic approach by showing that it does not reject the null when data are simulated under the null (D) but does reject the null when data are simulated under the ortholog conjecture (F). OC, ortholog conjecture.

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    Fig. 3.

    Distributions of pairwise similarity scores for each phase of development. Pairwise scores for the ctenophore are red. Wilcoxon test P values for the significance of the differences between early–mid distributions and late–mid distributions are on the right. Model of variance, which is inversely related to similarity, is on the left. (A) The distributions as published by Levin et al. (19). Low similarity (i.e., high variance) in the midphase of development was interpreted as support for an inverse hourglass model for the evolution of gene expression. The five least similar midphase scores were all from the ctenophore. (Inset) The ctenophore image is by S. Haddock and reproduced from phylopic.org. (B) The distributions after the exclusion of the ctenophore. The early-phase and midphase distributions are not statistically distinct.

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Pairwise comparisons among species are problematic
Casey W. Dunn, Felipe Zapata, Catriona Munro, Stefan Siebert, Andreas Hejnol
Proceedings of the National Academy of Sciences Jan 2018, 115 (3) E409-E417; DOI: 10.1073/pnas.1707515115

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Pairwise comparisons among species are problematic
Casey W. Dunn, Felipe Zapata, Catriona Munro, Stefan Siebert, Andreas Hejnol
Proceedings of the National Academy of Sciences Jan 2018, 115 (3) E409-E417; DOI: 10.1073/pnas.1707515115
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