| Literature DB >> 22509339 |
Jorge Avaria-Llautureo1, Cristián E Hernández, Dusan Boric-Bargetto, Cristian B Canales-Aguirre, Bryan Morales-Pallero, Enrique Rodríguez-Serrano.
Abstract
At the macroevolutionary level, one of the first and most important hypotheses that proposes an evolutionary tendency in the evolution of body sizes is "Cope's rule". This rule has considerable empirical support in the fossil record and predicts that the size of species within a lineage increases over evolutionary time. Nevertheless, there is also a large amount of evidence indicating the opposite pattern of miniaturization over evolutionary time. A recent analysis using a single phylogenetic tree approach and a bayesian based model of evolution found no evidence for Cope's rule in extant mammal species. Here we utilize a likelihood-based phylogenetic method, to test the evolutionary trend in body size, which considers phylogenetic uncertainty, to discern between Cope's rule and miniaturization, using extant Oryzomyini rodents as a study model. We evaluated body size trends using two principal predictions: (a) phylogenetically related species are more similar in their body size, than expected by chance; (b) body size increased (Cope's rule)/decreased (miniaturization) over time. Consequently the distribution of forces and/or constraints that affect the tendency are homogenous and generate this directional process from a small/large sized ancestor. Results showed that body size in the Oryzomyini tribe evolved according to phylogenetic relationships, with a positive trend, from a small sized ancestor. Our results support that the high diversity and specialization currently observed in the Oryzomyini tribe is a consequence of the evolutionary trend of increased body size, following and supporting Cope's rule.Entities:
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Year: 2012 PMID: 22509339 PMCID: PMC3318010 DOI: 10.1371/journal.pone.0034654
Source DB: PubMed Journal: PLoS One ISSN: 1932-6203 Impact factor: 3.240
Bayes Factors used to test the four molecular clock models.
| Strict | Exponential | Lognormal | Local Clock | |
| Strict | - | 0.0 | 0.0 | 0.1 |
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| Lognormal | 4638.5 | 0.0 | - | 523.3 |
| Local Clock | 9.0 | 0.0 | 0.0 | - |
Values≥3 give support for the model listed in the first column, values≤−3 give support for the row model. Strict = Strict clock model; Exponential = Uncorrelated exponential relaxed clock; Lognormal = Uncorrelated lognormal relaxed clock; and Local clock = Random local clock model.
Figure 1Bayesian consensus tree obtained from 139 ultrametric trees based on an uncorrelated exponential relaxed clock.
Blue branches indicate posterior probability values of a node below 0.5. Horizontal blue bars indicate the 95% HPD of divergence times, and the scale axis shows divergence times as millions of years ago (Mya).
Bayes Factors used to test the observed versus expected values of the phylogenetic scaling parameter λ based on Random Walk model.
| Ln Harmonic mean | Bayes Factor | |
| Observed λ = 0.89 (0.68; 1) | 7.4 | - |
| Forced λ = 0 | −4.9 | 24.6 |
| Forced λ = 1 | 9.3 | −3.8 |
The observed λ (mean; 95% HPD) were contrasted with values expected under the hypotheses of no phylogenetic signal (λ = 0) and the pure Random Walk model (λ = 1).
Bayes Factor (BF)≥3 indicates support for the observed λ parameter. When BF is ≤−3 the other model is chosen. Observed λ was contrasted versus λ = 0, and λ = 1.
Figure 2Bayesian posterior probability distribution for the lambda (λ) parameter based on the ultrametric Bayesian consensus tree.
Vertical blue bars indicate the 95% HPD.
Bayes Factors used to test the speciation rate models taking into account uncertainty of phylogenetic trees.
| Full | Linear | Sigmoidal | Hump | Drift Linear | Drift Sigmoidal | Drift Hump | |
| Full | - | 0.7 | 0.7 | 0.3 | 0.0 | 0.0 | 0.0 |
| Linear | 1.4 | - | 1.0 | 0.4 | 0.0 | 0.0 | 0.0 |
| Sigmoidal | 1.4 | 1.0 | - | 0.3 | 0.0 | 0.0 | 0.0 |
| Hump | 3.9 | 2.9 | 2.9 | - | 0.0 | 0.1 | 0.1 |
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| Drift Sigmoidal | 36.5 | 26.8 | 26.9 | 9.4 | 0.0 | - | 0.6 |
| Drift Hump | 56.8 | 41.7 | 41.9 | 14.6 | 0.1 | 1.6 | - |
Values≥3 give support for the first model listed in the column, values≤−3 give support for the row model. Full = constant speciation rate; Linear, Sigmoidal, Hump = speciation varies as a function of body size, evolving by a diffusion process, with a linear, sigmoidal or hump function, respectively; Drift Linear, Drift Sigmoidal, Drift Hump = speciation varies as a function of body size, evolving by a diffusion process with a directional trend (Drift).
Mean Drift parameter observed for three speciation rate models.
| Drift Linear (θ) | Drift Sigmoidal (θ) | Drift Hump (θ) | |
| Mean Drift | 0.33 | 0.34 | 0.36 |
| 95% HPD | −0.6; 0.7 | −0.5; 0.9 | −0.03; 0.8 |
Parameters were estimated using a maximum likelihood approach in each tree of the Bayesian sample.
Maximum likelihood parameter estimation and Akaike information criterion (AIC) values used to select the best model of speciation rate based on the Bayesian consensus tree.
| Df | Ln Lik | AIC | ChiSq | Drift (θ) | Pr(>[Chi]) | |
| Full | 3 | −70.34 | 146.68 | - | - | - |
| Linear | 4 | −70.11 | 148.23 | 0.45 | - | 0.503 |
| Sigmoidal | 6 | −70.10 | 152.2 | 0.47 | - | 0.925 |
| Hump | 6 | −69.38 | 150.75 | 1.92 | - | 0.589 |
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| 5 | −62.56 |
| 15.56 | 0.48 |
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| Drift Sigmoidal | 7 | −64.28 | 142.56 | 12.11 | 0.48 |
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| Drift Hump | 7 | −61.80 | 137.59 | 17.08 | 0.48 |
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Df = Degrees of freedom of each model; lnLik = Natural logarithm of Maximum Likelihood; AIC = Akaike information criterion; ChiSq = Chi Square value; Drift = tendency of body size evolution; and Pr(>[Chi]) = Chi-square probability value.
Maximum likelihood parameter estimation and Akaike information criterion (AIC) values used to select the best model of speciation rate based on the Maximum likelihood tree.
| Df | Ln Lik | AIC | ChiSq | Drift (θ) | Pr(>[Chi]) | |
| Full | 3 | −71.78 | 149.55 | - | - | - |
| Linear | 4 | −71.49 | 150.98 | 0.57 | - | 0.451 |
| Sigmoidal | 6 | −71.49 | 154.99 | 0.56 | - | 0.906 |
| Hump | 6 | −70.77 | 153.54 | 2.01 | - | 0.570 |
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| 5 | −65.28 |
| 12.99 | 0.45 |
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| Drift Sigmoidal | 7 | −66.57 | 147.13 | 10.42 | 0.45 |
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| Drift Hump | 7 | −65.10 | 144.20 | 13.35 | 0.45 |
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Df = Degrees of freedom of each model; lnLik = Natural logarithm of Maximum likelihood; AIC = Akaike information criterion; ChiSq = Chi Square value; Drift = tendency of body size evolution; and Pr(>[Chi]) = Chi-square probability value.