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Rates of Dinosaur Body Mass Evolution Indicate 170 Million Years of Sustained Ecological Innovation on the Avian Stem Lineage

Roger B. J. Benson, Nicolás E. Campione, Matthew T. Carrano and 4 more

PLoS Biology · 2014

doi:10.1371/journal.pbio.1001853

Abstract

Large-scale adaptive radiations might explain the runaway success of a minority of extant vertebrate clades. This hypothesis predicts, among other things, rapid rates of morphological evolution during the early history of major groups, as lineages invade disparate ecological niches. However, few studies of adaptive radiation have included deep time data, so the links between extant diversity and major extinct radiations are unclear. The intensively studied Mesozoic dinosaur record provides a model system for such investigation, representing an ecologically diverse group that dominated terrestrial ecosystems for 170 million years. Furthermore, with 10,000 species, extant dinosaurs (birds) are the most speciose living tetrapod clade. We assembled composite trees of 614-622 Mesozoic dinosaurs/birds, and a comprehensive body mass dataset using the scaling relationship of limb bone robustness. Maximum-likelihood modelling and the node height test reveal rapid evolutionary rates and a predominance of rapid shifts among size classes in early (Triassic) dinosaurs. This indicates an early burst niche-filling pattern and contrasts with previous studies that favoured gradualistic rates. Subsequently, rates declined in most lineages, which rarely exploited new ecological niches. However, feathered maniraptoran dinosaurs (including Mesozoic birds) sustained rapid evolution from at least the Middle Jurassic, suggesting that these taxa evaded the effects of niche saturation. This indicates that a long evolutionary history of continuing ecological innovation paved the way for a second great radiation of dinosaurs, in birds. We therefore demonstrate links between the predominantly extinct deep time adaptive radiation of non-avian dinosaurs and the phenomenal diversification of birds, via continuing rapid rates of evolution along the phylogenetic stem lineage. This raises the possibility that the uneven distribution of biodiversity results not just from large-scale extrapolation of the process of adaptive radiation in a few extant clades, but also from the maintenance of evolvability on vast time scales across the history of life, in key lineages.

Full text

From PubMed Central, U.S. National Library of Medicine, as current on Oct 20, 2026. Paragraph numbers are ours, so an answer can point at one.

Introduction

Much of extant biodiversity may have arisen from a small number of adaptive radiations occurring on large spatiotemporal scales –. Under the niche-filling model of adaptive radiation, ecological opportunities arise from key innovations, the extinction of competitors, or geographic dispersal,,. These cause rapid evolutionary rates in ecologically relevant traits, as diverging lineages exploit distinct resources. Rates of trait evolution then decelerate as niches become saturated, a pattern that has been formalised as the “early burst” model (e.g.,,).

Most phylogenetic studies of adaptive radiations focus on small scales such as island radiations and other recently diverging clades, including Anolis lizards, cichlid fishes, and geospizine finches,,–. Detailed study of these model systems has demonstrated the importance of ecological and functional divergence as drivers of speciation early in adaptive radiations (e.g.,,). Surprisingly though, early burst patterns of trait evolution receive only limited support from model comparison approaches for these and other adaptive radiations occurring in geographically restricted areas and on short timescales (<50 million years [Ma]; most <10 Ma) (but see,).

Studies of morphological evolution on longer timescales, unfolding over 100 Ma or more, are central to establishing whether niche-filling or early burst patterns of trait evolution are important evolutionary phenomena on large phylogenetic scales. A small number of recent studies quantified patterns of trait evolution on large scales using neontological phylogenies. For example, diversification rates and morphological rates are positively correlated in actinopterygians (∼400 Ma); rapid rates of both morphological and molecular evolution occur on deep, Cambrian, nodes of the arthropod tree of life (∼540 Ma); and the early evolution of placental mammals was characterised by rapid rates of diversification (100–65 Ma) and perhaps body size evolution (but see ).

However, even the largest neontological studies –,, are limited to explaining the rise of important extant groups. A more complete characterisation of macroevolutionary processes on long timescales should also explain the ascent and demise of important extinct groups (e.g., ), which in fact represent most of life's diversity. Substantial evidence for the dynamics of past adaptive radiations might have been erased from the neontological archive, and macroevolutionary models for extinct or declining/depauperate clades may be tested most effectively using deep time data from the fossil record,.

Palaeontologists often quantify patterns of morphological radiation using time series of disparity (e.g.,,). However, few phylogenetic studies including fossil data have attempted to explain patterns of morphological radiation in large clades on timescales >100 Ma, and most have individually targeted either the roots of exceptional modern clades such as birds or mammals (e.g.,,,) or extinct/depauperate clades (e.g., –; studies based on discrete characters). Thus, patterns of morphological evolution in major extinct clades, and their links to successful modern clades, are not well understood.

Non-avian dinosaurs are an iconic group of terrestrial animals. They were abundant and ecologically diverse for most of the Mesozoic, and included extremely large-bodied taxa that challenge our understanding of size limits in terrestrial animals. The first dinosaurs appeared more than 230 Ma ago in the Triassic Period, as small-bodied (10–60 kg), bipedal, generalists. By the Early Jurassic (circa 200 Ma), they dominated terrestrial ecosystems in terms of species richness,, and Cretaceous dinosaurs (145–66 Ma) had body masses spanning more than seven orders of magnitude (Figure 1A). Non-avian dinosaurs became extinct at the catastrophic Cretaceous/Paleogene (K/Pg) boundary event, at or near the peak of their diversity,. In contrast, extant dinosaurs (neornithine birds) comprise around 10,000 species and result from one of the most important large-scale adaptive radiations of the Cenozoic,.

The proposed drivers of early dinosaur diversification are controversial. Although various causal factors have been suggested to underlie a presumed adaptive radiation, few studies have tested the predictions of niche-filling models, and these have yielded equivocal results. An upright, bipedal gait, rapid growth, and possible endothermy have been proposed as key innovations of Triassic dinosaurs (reviewed by ), and mass extinctions during the Triassic/Jurassic boundary interval removed competing clades, perhaps leading to ecological release and rapid rates of body size evolution in Early Jurassic dinosaurs (but see ). However, quantitative studies using body size proxies and discrete morphological characters have found only weak support for the niche-filling model during early dinosaur evolution, instead favouring gradualistic evolutionary rates. These studies focussed on the Late Triassic–Early Jurassic, so it is unclear whether Early Jurassic dinosaur evolution differed from later intervals (consistent with radiation following a mass extinction), or how the Middle Jurassic–Cretaceous radiation of birds and their proximate relatives relates to overall patterns of dinosaur diversification.

We used phylogenetic comparative methods,,, to analyse rates of dinosaur body mass evolution ( Materials and Methods; Appendix S1). For this study, we compiled a large dataset of dinosaur body masses (441 taxa; Dataset S1) using the accurate scaling relationship of limb robustness (shaft circumference) derived from extant tetrapods (Appendix S1; Dataset S1). Body mass affects all aspects of organismal biology and ecology (e.g.,,), including that of dinosaurs (e.g., –). Because of its relationship with animal energetics and first-order ecology, understanding the evolution of body mass is fundamental to identifying the macroevolutionary processes underlying biodiversity seen in both ancient and modern biotas. Therefore, by studying body mass evolution, we assess the broad pattern of niche filling in the assembly of dinosaur diversity through 170 Ma of the Mesozoic.

In many hypotheses of adaptive radiation, ecological speciation is an important process generating both morphological and taxonomic diversity (e.g.,; but see ), according to which ecological differentiation is essentially simultaneous with lineage splitting. In consequence, many large-scale studies of adaptive radiation have focussed on diversification rates (e.g.,,,). A correlation between diversification rates and morphological rates is consistent with adaptive radiation (e.g., ). However, even when this can be demonstrated, the occurrence of ecological speciation is difficult (perhaps impossible) to test in clades even only a few Ma old. Methods for estimating diversification rates on non-ultrametric trees (e.g., those including deep time data) have recently become available. However, these methods require accurate estimates of sampling probability during discrete time intervals, and it is not clear that it is possible to obtain such estimates from the dinosaur fossil record, which contains many taxa known only from single occurrences. Therefore, our study focuses on the predictions of niche-filling models of morphological evolution during adaptive radiation, as done in some previous studies (e.g.,,).

Results

Most of the earliest dinosaurs weighed 10–35 kg (Figure 1); Herrerasaurus was exceptionally large at 260 kg. Maximum body masses increased rapidly to 1,000–10,000 kg in sauropodomorphs, with especially high masses in early sauropods such as Antetonitrus (5,600 kg; Norian, Late Triassic) and Vulcanodon (9,800 kg; Early Jurassic), whereas minimum body masses of 1–4 kg were attained by Late Triassic ornithischians and theropods (Figure 1). Jurassic Heterodontosauridae (∼0.7 kg ), Middle Jurassic and younger Paraves (e.g., Epidexipteryx, 0.4 kg; Anchiornis, 0.7 kg), and Cretaceous Avialae (birds: 13–16 g to 190 kg ) extended this lower body size limit (Table 1). Archaeopteryx weighed 0.99 kg (the largest, subadult specimen ) and the Cretaceous sauropod Argentinosaurus weighed approximately 90,000 kg (Table 1). Our full set of mass estimates is available in Dataset S1 and a summary is presented in Table 1.

Our node height tests indicate that evolutionary rate estimates at phylogenetic nodes (standardised phylogenetically independent contrasts ) vary inversely with log-transformed stratigraphic age for most phylogenies (Figure 2). This relationship is significant (based on robust regression,) for most phylogenies of non-maniraptoran dinosaurs, and for ornithischians and non-maniraptoran theropods when analysed separately (Figure 2B). This result is weakened, and becomes non-significant, when Triassic nodes are excluded (Figure S1).

Declining evolutionary rates through time are not found in any analyses including maniraptorans. Indeed, when maniraptorans are added to analyses of Dinosauria, a burst of high nodal rate estimates is evident in lowess lines spanning the Middle Jurassic–Early Cretaceous interval of maniraptoran diversification (Figure 2A). Maniraptorans have a weakly positive (non-significant) relationship between evolutionary rates and body mass, and do not show diminishing evolutionary rates through time (Figure 2B–C). This contrasts with non-maniraptoran dinosaurs, in which evolutionary rates vary inversely with body mass (Figure 2C).

Maximum-likelihood models, were fitted to phylogenies calibrated to stratigraphy using the “equal” and “mbl” (minimum branch length) methods (see Materials and Methods ), and complement the results of our node height tests in showing support for early burst models only in analyses excluding Maniraptora (Table 2; Figure S2). Note, however, that the maximum-likelihood method has less statistical power to detect early burst patterns than does the node height test when even a small number of lineages escape from the overall pattern of declining rates through time. Two models that predict saturation of trait variance through a clade's history were commonly supported in our analyses: the early burst model of exponentially declining evolutionary rates through time, and the Ornstein–Uhlenbeck (OU) model of attraction to a “trait optimum” value. Other models (e.g., Brownian motion, stasis) had negligible AICc weights in all or most (directional trend model) analyses (AICc is Akaike's information criterion for finite sample sizes).

Early burst models received high AICc weights for analyses of ornithischians, non-maniraptoran theropods, and non-maniraptoran dinosaurs when using the “equal” branch length calibration method (Table 2; Figure S2). Early burst models had comparable AICc weights to Ornstein–Uhlenbeck models for sauropodomorphs when using the “equal” branch length calibration method, and for ornithischians and non-maniraptoran theropods when using the “mbl” method. Early burst models had generally lower AICc weights for non-maniraptoran dinosaurs and for sauropodomorphs when using the “mbl” branch length calibration method (Table 2; Figure S2). Support from some phylogenies for Ornstein–Uhlenbeck models of attraction to a large body size optimum from small ancestral body sizes, in ornithischians, non-maniraptoran theropods, and especially sauropodomorphs and non-maniraptoran dinosaurs (Table 2; Figure S2), suggests the occurrence of Cope's rule in dinosaurs. All phylogenies provide strong support for this pattern in maniraptorans (Table 2).

Exceptionally high rates at individual nodes in our phylogenies were identified as down-weighted datapoints in robust regression analyses,. Five sets of exceptional nodes in the Triassic–Early Jurassic represent rapid evolutionary shifts from primitive masses around 10–35 kg to large body masses in derived sauropodomorphs (>1,000 kg), armoured ornithischians (Thyreophora; Figure 1B) and theropods (Herrerasaurus, and derived taxa such as Liliensternus (84 kg) and Dilophosaurus (350 kg)), and to smaller body sizes in heterodontosaurid ornithischians (Figure 3; Table 3). Rapid body size changes were rare in later ornithischians and sauropodomorphs, which each show only one exceptional Jurassic node, marking the origin of body sizes greater than 1,000 kg in derived iguanodontians, and of island dwarfism in the sauropod Europasaurus. By contrast, up to six exceptional Jurassic nodes occur in theropod evolution, with especially high contrasts at the origins of body sizes exceeding 750 kg in Tetanurae, and marking phylogenetically nested size reductions on the line leading to birds: in Coelurosauria (e.g., Ornitholestes, 14 kg; Zuolong, 88 kg) and in Paraves, which originated at very small body masses around 1 kg.

The contrast between theropods and other dinosaurs is even greater in the Cretaceous, when no exceptional nodes occur in Sauropodomorpha, and only two in Ornithischia: at the origins of large-bodied Ceratopsidae and island dwarf rhabdodontid iguanodontians (e.g., Mochlodon ). At least nine shifts occurred during the same interval of theropod evolution, including seven in maniraptorans (Figure 3; Table 3).

Niche-filling Patterns of Dinosaur Body Size Evolution

Patterns of dinosaur body size evolution are consistent with the niche-filling model of adaptive radiation,,. Early dinosaurs exhibit rapid background rates of body size evolution, and a predominance of temporally rapid, order-of-magnitude shifts between body size classes in the Triassic and Early Jurassic. These shifts reflect radiation into disparate ecological niches such as bulk herbivory in large-bodied sauropodomorphs (e.g., ) and thyreophoran ornithischians, herbivory using a complex masticating dentition in small-bodied heterodontosaurids (e.g.,,), and increasing diversity of macropredation in large theropods (Table 3). Subsequently, rates of body size evolution decreased, suggesting saturation of coarsely defined body size niches available to dinosaurs in terrestrial ecosystems, and increasingly limited exploration of novel body size space within clades.

The early burst pattern of dinosaurian body size evolution is substantially weakened when Triassic data are excluded (Figure S1). This suggests that key innovations of Triassic dinosaurs (e.g.,,), and not the Triassic/Jurassic extinction of their competitors, drove the early radiation of dinosaur body sizes. Indeed, phylogenetic patterns indicate that many basic ecomorphological divergences occurred well before the Triassic/Jurassic boundary.

It is not clear which innovations allowed dinosaurs to radiate, or whether the pattern shown here was part of a larger archosaurian radiation. However, the evolution of rapid growth rates may have been important, especially in Sauropodomorpha, and the erect stance of dinosaurs and some other archosaurs might have been a prerequisite for body size diversification via increased efficiency/capacity for terrestrial weight support.

Maniraptoran theropods are an exception to the overall pattern of declining evolutionary rates through time: exhibiting numerous instances of exceptional body size shifts, maintaining rapid evolutionary rates, and generating high ecological diversity,, including flying taxa. Although a previous study found little evidence for directional trends of body size increase in herbivorous maniraptoran clades, this does not conflict with our observation that some body size shifts in maniraptorans (and other coelurosaurs) coincide with the appearance of craniodental, or other, evidence for herbivory (Table 3; e.g.,,,).

Much of our knowledge of Late Jurassic and Early Cretaceous maniraptorans comes from a few well-sampled Chinese Lagerstätten, such as the Jehol biota. Without information from these exceptional deposits, we would have substantially less knowledge of divergence dates and ancestral body sizes among early maniraptorans. However, this is unlikely to bias comparisons between maniraptorans and other groups of dinosaurs for two reasons: (1) these deposits provide equally good information on the existence and affinities of small-bodied taxa in other clades, such as Ornithischia; and (2) exceptional information on early maniraptoran history should bias analyses towards finding an early burst pattern in maniraptorans. Inference of high early rates in Maniraptora would be more likely, due either to concentration of short branch durations at the base of the tree (especially using the “mbl” stratigraphic calibration method), or observation of additional body size diversity at the base of the tree that would remain undetected if sampling was poor. We cannot speculate as to the effects on our analyses of finding comparable Lagerstätten documenting early dinosaur history. However, there is currently little positive evidence that the general patterns of body size evolution documented here are artefactual.

Many stratigraphically younger dinosaurs, especially non-maniraptorans, exhibit large body size and had slow macroevolutionary rates, possibly due to scaling of generation times (e.g.,,). Scaling effects are observed across Dinosauria, but show substantial scatter (non-significant; Figure 2C) within Ornithischia and Sauropodomorpha, consistent with previous suggestions that scaling effects should be weak in dinosaurs because of the life history effects of oviparity. Small dinosaurs (10–50 kg) had the highest evolutionary rates, and rates attenuated only weakly, or not at all, at sizes below 10 kg (Figure S3). This might have been key to maniraptoran diversification from small-bodied ancestors, and also explains the origins of fundamentally new body plans and ecotypes from small-bodied ancestors later in ornithischian history (Iguanodontia, Ceratopsidae; Figure 1).

Body Size, Ecological Diversity, and Cenozoic Survival

Maniraptora includes Avialae, the only dinosaur clade to frequently break the lower body size limit around 1–3 kg seen in other dinosaurs. It is likely that more niches are available to birds (and mammals) around 100 g in mass,, so obtaining smaller body sizes might have contributed to the ecological radiation of Mesozoic birds (e.g.,,). If the K/Pg extinction event was ecologically selective, vigorous ecological diversification may have given maniraptoran lineages a greater chance of survival: Avialae was the only dinosaurian clade to survive, perhaps because of the small body sizes of its members. Although the fossil record of birds is inadequate to test hypotheses of K/Pg extinction selectivity, it is clear that smaller-sized squamates and mammals selectively survived this event,. Therefore, our results suggest that rapid evolutionary rates within Maniraptora paved the way for a second great adaptive radiation of dinosaurs in the wake of the K/Pg extinction event: the diversification of neornithine birds.

Implications for Adaptive Radiation Theory

Our findings complement recent studies of diversification rates in the avian crown group,, and suggest that birds, the most speciose class of tetrapods, arose from a long evolutionary history of continual ecological innovation. Our most striking finding is of sustained, rapid evolutionary rates on the line leading to birds (i.e., in maniraptorans) for more than 150 Ma, from the origin of dinosaurs until at least the end of the Mesozoic. Rates of evolution declined through time in most dinosaurs. However, this early burst pattern, which characterises the niche-filling model of adaptive radiation,, does not adequately describe evolution on the avian stem lineage. The recovered pattern of sustained evolutionary rates, and the repeated generation of novel ecotypes, suggests a key role for the maintenance of evolvability, the capacity for organisms to evolve, in the evolutionary success of this lineage. Evolvability might have also played a central role in the evolution of other major groups such as crustaceans and actinopterygians, supporting its hypothesised importance in organismal evolution.

Rapid evolutionary rates observed during the early evolutionary history of Dinosauria, which decelerated through time in most subclades, indicate that much of the observed body size diversity of dinosaurs was generated by an early burst pattern of trait evolution. However, this pattern becomes difficult to detect when data from early dinosaurian history are not included in analyses (Figure S1), consistent with the observation that deep time data improve model inference in simulations. The pruning of lineages by extinction might also overwrite the signals of ancient adaptive radiation in large neontological datasets. For example, Rabosky et al. recovered slow evolutionary rates at the base of the actinopterygian tree, but the fossil record reveals substantial morphological and taxonomic diversity of extinct basal actinopterygian lineages,. Although it has not yet been tested quantitatively, this diversity might have resulted from early rapid rates across Actinopterygii, as observed here across Dinosauria.

If our results can be generalised, they suggest that the unbalanced distribution of morphological and ecological diversity among clades results from the maintenance of rapid evolutionary rates over vast timescales in key lineages. These highly evolvable lineages may be more likely to lead to successful modern groups such as birds, whereas other lineages show declining evolutionary rates through time. Declining evolutionary rates in dinosaurian lineages off the line leading to birds indicate large-scale niche saturation. This might signal failure to keep pace with a deteriorating (biotic) environment (the Red Queen hypothesis,), with fewer broad-scale ecological opportunities than those favouring the early radiation of dinosaurs. There is strong evidence for Red Queen effects on diversification patterns in Cenozoic terrestrial mammals, and it is possible that a long-term failure to exploit new opportunities characterises the major extinct radiations of deep time (and depauperate modern clades), whether or not it directly caused their extinctions.

Materials and Methods

We used phylogenetic comparative methods to analyse rates of dinosaur body mass evolution,,, (Appendix S1). Body mass, accompanied by qualitative observations (Table 3), was used as a general ecological descriptor. Body mass was estimated for all dinosaurs for which appropriate data were available (441 taxa; Dataset S1) using the empirical scaling relationship of limb robustness (stylopodial circumference) with body mass, derived from extant tetrapods (Appendix S1). We analysed log10-transformed data (excluding juveniles), which represent proportional changes in body mass.

Stylopodial shaft circumferences are infrequently reported in the literature, so many were taken from our own measurements, or were calculated from shaft diameters (Appendix S1). Previous large datasets of dinosaurian masses were based on substantially less accurate methods, using the relationship between linear measurements (e.g., limb bone lengths) and volumetric models of extinct dinosaurs (–; reviewed by ).

Quantitative macroevolutionary models were tested on composite trees compiled from recent, taxon-rich cladograms of major dinosaur groups (Appendix S1; Figure S4, Figure S5, Figure S6, Figure S7). Phylogenetic uncertainty was reflected by analysing alternative topologies and randomly resolved polytomies (Appendix S1). Tip heights and branch durations were stratigraphically calibrated, and zero-length branches were “smoothed” using two methods: (1) by sharing duration equally with preceding non-zero length branches (the “equal” method ); and (2) by imposing a minimum branch length of 1 Ma (the “mbl” method ).

We used maximum-likelihood model comparison, and “node height” test, methods (Appendix S1) to test the prediction of the niche-filling hypothesis: that rates of morphological evolution diminish exponentially through time after an adaptive radiation,,. The node height test treats standardised independent contrasts as nodal estimates of evolutionary rate and tests for systematic deviations from a uniform rate Brownian model, using regression against log-transformed geological age (robust regression,). We also regressed standardised contrasts against nodal body mass estimates (a proxy for generation time and other biological processes that might influence evolutionary rates). As well as testing for a “background” model of declining evolutionary rates through time, robust regression identifies and down-weights single nodes deviating substantially from the overall pattern,. These nodes represent substantial, temporally rapid, niche-shift events, following the macroecological principle that organisms in different body size classes inhabit different niches and have different energetic requirements. We used lowess lines to visualise non-linear rate variation with time and body mass.

Exponentially declining rates of evolution through time, predicted by the niche-filling model of adaptive radiation –, were also tested by comparing the fit of an early burst model, with other commonly used models: Brownian motion, directional evolution (“trend”), the Ornstein–Uhlenbeck model of evolution attracted to an optimum value, and stasis (“white noise”),, (Appendix S1). Explicit mathematical models of trait evolution on our phylogenies were fitted using the R packages GEIGER version 1.99–3 and OUwie version 1.33 (for Ornstein–Uhlenbeck (OU) models only), and compared using AICc,. Unlike GEIGER, OUwie allows estimation of a trait optimum (θ) that is distinct from the root value (Z0) in OU models. Values from GEIGER and OUwie are directly comparable: identical log likelihood, AICc, and parameter estimates are obtained for test datasets when fitting models implemented in both packages (Brownian motion in all instances; and OU models when θ = Z0 for ultrametric trees); although note that comparable standard error values entered to the OUwie function of OUwie 1.33 are the square of those entered to the fitContinuous function of Geiger 1.99–3. The algorithm used to fit OU models in GEIGER 1.99–3 is inappropriate for non-ultrametric trees (personal communication, Graham Slater to R. Benson, December 2013). This problem is specific to OU models implemented by GEIGER 1.99–3, and does not affect the other models that we tested. GEIGER 1.99–3 fits models of trait evolution using independent contrasts, after rescaling the branch lengths of the phylogenetic tree according to the model considered. For all models, except the OU model in the case of non-ultrametric trees, the covariance between two taxa i and j can be written as a function of the path length sij shared between the two taxa (e.g.,,). The tree can thus easily be rescaled by applying this function to the height of each node before computing independent contrasts. In the case of the OU model, the covariance between two taxa i and j is a function of both the shared (pre-divergence) portion of their phylogenetic history and the non-shared (post-divergence) portion. In the case of an ultrametric tree, the non-shared portion can also be written as a function of sij (it is simply the total height T of the tree, minus sij,), and the corresponding scaling function can be applied to the tree (this is what is performed in GEIGER 1.99.3). However, in the case of a non-ultrametric tree, the post-divergence portion of the covariance cannot be written as a function of sij, so there is no straightforward scaling function to apply. Instead, it is necessary to fit the model by maximum likelihood after computing the variance–covariance matrix. This is what is implemented in OUwie, and now in GEIGER 2.0 (personal communication, Josef Uyeda to R. Benson, January 2014).

Our data and analytical scripts are available at DRYAD.

References 95

  1. 1.

    Simpson GG (1953) The Major Features of Evolution. New York: Columbia University Press. 434 p.

    Not in our library

  2. 2.

    Schluter D (2000) The Ecology of Adaptive Radiation. Oxford: Oxford University Press. 288 p.

    Not in our library

  3. 3.

    Alfaro ME, Santini F, Brock C, Alamillo H, Dornburg H, et al (2009 ) Nine exceptional radiations plus high turnover explain species diversity in jawed vertebrates. Proc Natl Acad Sci USA 106: 13410–13414.

    Not in our library10.1073/pnas.0811087106

  4. 4.

    Etienne RS, Haegemann B (2012 ) A conceptual and statistical framework for adaptive radiations with a key role for diversity dependence. Am Nat 180: E75–E89.

    Not in our library10.1086/667574

  5. 5.

    Glor RE (2010 ) Phylogenetic insights on adaptive radiation. Annu Rev Ecol Syst 41: 251–270.

    Not in our library

  6. 6.

    Harmon LJ, Losos JB, Davies TJ, Gillespie RG, Gittleman JL, et al (2010 ) Early bursts of body size and shape evolution are rare in comparative data. Evolution 64: 2385–2396.

    Not in our library10.1111/j.1558-5646.2010.01025.x

  7. 7.

    Blomberg SP, Garland T, Ives AR (2003 ) Testing for phylogenetic signal in comparative data: behavioural traits are more labile. Evolution 57: 717–745.

    Not in our library10.1111/j.0014-3820.2003.tb00285.x

  8. 8.

    Losos JB. 2009. Lizards in an Evolutionary Tree. Berkeley: University of California Press. 507 p.

    Not in our library

  9. 9.

    Kornfield I, Smith PF (2000 ) African cichlid fishes: model systems for evolutionary biology. Annu Rev Ecol Syst 31: 163–196.

    Not in our library

  10. 10.

    Grant PR, Grant BR (2008) How and Why Species Multiply: the Radiation of Darwin's Finches. Princeton: Princeton University Press. 218 p.

    Not in our library

  11. 11.

    Streelman JT, Danley PD (2003 ) The stages of vertebrate evolutionary radiation. Trends Ecol Evol 18: 126–131.

    Not in our library

  12. 12.

    Rundle HD, Nosil P (2005 ) Ecological speciation. Ecol Lett 8: 336–352.

    Not in our library

  13. 13.

    Slater GJ, Price SA, Santini F, Alfaro ME (2010 ) Diversity versus disparity and the radiation of modern cetaceans. Proc R Soc B 277: 3097–3104.

    Not in our library10.1098/rspb.2010.0408

  14. 14.

    Slater GJ, Pennell MW (2013 ) Robust regression and posterior predictive simulation increase power to detect early bursts of trait evolution. Syst Biol

    Not in our library10.1093/sysbio/syt066

  15. 15.

    Rabosky DL, Santini F, Eastman J, Smith SA, Sidlauskas B, et al (2013 ) Rates of speciation and morphological evolution are correlated across the largest vertebrate radiation. Nat Commun 4: 1958.

    Not in our library10.1038/ncomms2958

  16. 16.

    Lee MS, Soubrier J, Edgecombe GD (2013 ) Rates of phenotypic and genomic evolution during the Cambrian explosion. Curr Biol 23: 1889–1895.

    Not in our library10.1016/j.cub.2013.07.055

  17. 17.

    Bininda-Emonds ORP, Cardillo M, Jones KE, MacPhee RDE, Beck RMD, et al (2007 ) The delayed rise of present-day mammals. Nature 446: 507–512.

    Not in our library10.1038/nature05634

  18. 18.

    Cooper N, Purvis A (2010 ) Body size evolution in mammals: complexity in tempo and mode. Am Nat 175: 727–738.

    Not in our library10.1086/652466

  19. 19.

    Slater GJ (2013 ) Phylogenetic evidence for a shift in the mode of mammalian body size evolution at the Cretaceous-Palaeogene boundary. Methods Ecol Evol 4: 734–744.

    Not in our library

  20. 20.

    Harmon LJ, Schulte JA 2nd, Larson A, Losos JB (2003 ) Tempo and mode of evolutionary radiation in iguanian lizards. Science 301: 961–964.

    Not in our library10.1126/science.1084786

  21. 21.

    Jetz W, Thomas GH, Joy JB, Hartmann K, Mooers AO (2012 ) The global diversity of birds in space and time. Nature 491: 444–448.

    Not in our library10.1038/nature11631

  22. 22.

    Quental TB, Marshall CR (2013 ) How the Red Queen drives terrestrial mammals to extinction. Science 341: 290–292.

    Not in our library10.1126/science.1239431

  23. 23.

    Losos JB (2010 ) Adaptive radiation, ecological opportunity, and evolutionary determinism. Am Nat 175: 623–639.

    Not in our library10.1086/652433

  24. 24.

    Slater GJ, Harmon LJ, Alfaro ME (2012 ) Integrating fossils with molecular phylogenies improves inference of trait evolution. Evolution 66: 3931–3944.

    Not in our library10.1111/j.1558-5646.2012.01723.x

  25. 25.

    Foote M (1994 ) Morphological disparity in Ordovician–Devonian crinoids and the early saturation of morphological space. Paleobiology 20: 320–344.

    Not in our library

  26. 26.

    Wills MA, Briggs DEG, Fortey RA (1994 ) Disparity as an evolutionary index: a comparison of Cambrian and Recent arthropods. Paleobiology 20: 93–130.

    Not in our library

  27. 27.

    Benson RBJ, Choiniere JN (2013 ) Rates of dinosaur limb evolution provide evidence for exceptional radiation in Mesozoic birds. Proc R Soc B 280: 20131780.

    Not in our library10.1098/rspb.2013.1780

  28. 28.

    Ruta M, Wagner PJ, Coates MI (2006 ) Evolutionary patterns in early tetrapods. 1. Rapid initial diversification followed by decrease in rates of character change. Proc R Soc B 273: 2107–2111.

    Not in our library10.1098/rspb.2006.3577

  29. 29.

    Westoll (1949) On the evolution of the Dipnoi. Jepsen GL, Simpson GG, Mayr E, editors. Genetics, Paleontology and Evolution. Princeton: Princeton University Press. pp. 121–184.

    Not in our library

  30. 30.

    Lloyd GT, Wang SC, Brusatte SL (2012 ) Identifying heterogeneity in rates of morphological evolution: discrete character change in the evolution of lungfish (Sarcopterygii; Dipnoi). Evolution 66: 330–348.

    Not in our library10.1111/j.1558-5646.2011.01460.x

  31. 31.

    Wagner P (1997 ) Patterns of morphological diversification among the Rostroconchia. Paleobiology 23: 115–150.

    Not in our library

  32. 32.

    Carrano MT (2006) Body-size evolution in the Dinosauria. Carrano MT, Gaudin TJ, Blob RW, Wible JR, editors. Amniote Paleobiology. Chicago: University of Chicago Press. pp. 225–268

    Not in our library

  33. 33.

    Brusatte SL, Benton MJ, Ruta M, Lloyd GT (2008 ) The first 50 Myr of dinosaur evolution: macroevolutionary pattern and morphological disparity. Biol Lett 4: 733–736.

    Not in our library10.1098/rsbl.2008.0441

  34. 34.

    Irmis RB (2011 ) Evaluating hypotheses for the early diversification of dinosaurs. T Roy Soc Edin—Earth 101: 397–426.

    Not in our library

  35. 35.

    Fastovsky DE, Sheehan (2005 ) The extinction of the dinosaurs in North America. GSA Today 15: 4–10.

    Not in our library

  36. 36.

    Upchurch P, Mannion PD, Benson RBJ, Butler RJ, Carrano MT (2011 ) Geological and anthropogenic controls on the sampling of the terrestrial fossil record: a case study from the Dinosauria. Spec Publ Geol Soc Lond 358: 209–240.

    Not in our library

  37. 37.

    Olsen PE, Kent DV, Sues H-D, Koeberl C, Huber H, et al (2002 ) Ascent of dinosaurs linked to an iridium anomaly at the Triassic–Jurassic boundary. Science 296: 1305–1307.

    Not in our library10.1126/science.1065522

  38. 38.

    Pagel M (1999 ) Inferring the historical patterns of biological evolution. Nature 401: 877–884.

    Not in our library10.1038/44766

  39. 39.
  40. 40.
All 95 references

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