Ecology chapter - Proceedings of the Royal Society B

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Electronic Supplementary Material –Text and Figure Captions
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Bytebier et al. - Estimating the age of fire in the Cape flora of South Africa from
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an orchid phylogeny
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Expanded Materials and Methods
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Phylogenetic analyses
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Phylogenetic relationships were inferred for 7 outgroup and 136 ingroup taxa,
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representing 70% of all recognised Disa species and infraspecific taxa. One nuclear
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and two plastid gene regions were sequenced and compiled in a matrix with 4094
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characters, 1096 (26.8%) of which were parsimony informative. In a parsimony
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analysis, 87 nodes of 142 (61%) were supported with a bootstrap support values of
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75% or higher, while the topology resulting from a Bayesian inference analysis had
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101 (71%) nodes with a posterior probability of 0.95 or above. The phylogenetic
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analysis is discussed in detail in (Bytebier et al. 2007).
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Molecular dating
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Several methods have been proposed for estimating absolute divergence times in
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phylogenies, ranging from strict molecular clocks to methods that allow each lineage
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to evolve at an own rate (Renner 2005; Rutschmann 2006). Since a robust age
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estimation was critical to this study, we applied two widely used algorithms that make
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different assumptions: Penalized Likelihood (Sanderson 2002) and BEAST
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(Drummond & Rambaut 2007). In all cases phylogenetic uncertainty was taken into
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account.
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A strict molecular clock for the maximum a posteriori (MAP) tree was rejected by a
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likelihood ratio test (Felsenstein 1981). The Penalized Likelihood analysis was run in
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the software r8s v. 1.71 (Sanderson 2002). A cross-validation procedure was
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conducted to identify the best-fitting smoothing value for MAP tree, by testing 14
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different smoothing values ranging from -3.0 to 3.5 log10 (smooth). The optimal value
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found (0.01) was then used for independently dating 1,000 randomly selected trees
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from the stationary Bayesian sample, using the settings num_restarts=3,
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num_time_guesses=3, penalty=yes, maxiter=2000. We then performed 5 independent
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runs in BEAST v. 1.5.4 (Drummond & Rambaut 2007), with 10 million generations
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each, sampling every 500th tree, using a Yule process of speciation as tree prior, an
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uncorrelated lognormal molecular clock, and the same substitution and site
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heterogeneity models (GTR+ +I) as for the MrBayes analysis (Bytebier et al. 2007).
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Convergence of the independent runs and effective sample sizes (>100 for all
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parameters) was assessed in Tracer v 1.5 (Rambaut & Drummond 2007). Summary
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statistics were summarised using TreeAnnotator v 1.5.4 (Drummond & Rambaut
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2007).
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For the PL analysis, the tree with maximum a posteriori score among 45,000 trees
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from a post burn-in Bayesian sample was provided as reference for summarizing the
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results, whereas for the BEAST analysis it was the tree with the highest sum of clade
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probabilities.
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Coding of biomes, habitats and rainfall seasonality
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Disa species occurring in southern Africa were coded for occurrence in biomes and
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habitats by Linder et al. (Linder et al. 2005). The biomes (Rutherford & Westfall
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1986; Rutherford 1997) summarize climatic, edaphic and biotic information into
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broad descriptive units (table S3). Species occurring outside of southern Africa were
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coded to the same biomes according to information in Linder (Linder 1981a; Linder
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1981e; Linder 1981c; Linder 1981b; Linder 1981d), Flora of Tropical East Africa
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(Summerhayes 1968), Flora Zambesiaca (la Croix & Cribb 1995), Flore d’Afrique
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Centrale (Geerinck 1984) and Orchids of Malawi (la Croix et al. 1991), and on the
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personal field experience of the authors.
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Linder et al. (Linder et al. 2005) coded the southern African orchid species to the
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following habitats: Grassland, Woodland, Subalpine, Marsh, Scrub, Mature Heath,
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Postfire, Streambank and Epilithic (table S4). To this, we added Southeast Cloud
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Zone habitat. The importance of southeast clouds as a source of water during the dry
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summers in the CFR was documented by Marloth (Marloth 1904). Although we could
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not trace information on the distribution of these clouds, our field experience indicates
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that they occur frequently along the summits of mountains, within sight of the Indian
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Ocean. As for the biomes, the habitats for the species occurring outside of southern
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Africa were coded based on comments in monographic and floristic treatments as well
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as our field experience.
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All Disa species were scored present or absent for winter, all year, summer or
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bimodal rainfall. For species occurring in southern Africa, the distribution maps from
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Linder & Kurzweil (Linder & Kurzweil 1999) were superimposed on the rainfall
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seasonality map of Schulze (Schulze 1997). For species occurring outside of southern
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Africa, rainfall seasonality data was extracted from Linder (Linder 1981a; Linder
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1981e; Linder 1981c; Linder 1981b; Linder 1981d).
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Character state (presence/absence) for each species and each categorical variables of
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biome, habitat and rainfall seasonality are reported in table S5.
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Character optimisations
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We used binary coding (absence/presence) to allow for polymorphic states at internal
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nodes (Hardy & Linder 2005). Thus each categorical variable was coded as either
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present or absent (e.g. each species was scored as present or absent for fynbos, etc).
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Maximum likelihood optimisation of ancestral states was performed with the
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“asymmetric Markov k-state 2 parameter model” and with “root state frequencies
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same as equilibrium” implemented in Mesquite version 2.6 (Maddison & Maddison
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2009). This model has one parameter for the rate of change from state 0 to 1 (the
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"forward" rate) and another for the rate of change from 1 to 0 (the "backward" rate)
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and thus, allows a bias in gains versus losses. We compared the lnL scores of a two-
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rate (forward and backward rates independent) and a one-rate (forward and backward
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rates constrained to be equal) model for each character. The accuracy of parameter
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estimation depends on the amount of data available as well as model complexity
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(Mooers & Schluter 1999). For several characters (but not all) the two-rate model
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resulted in a significantly improved fit and we therefore preferred this model since it
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makes fewer assumptions (i.e. it does not assume the forward and backward rates of
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characters change to be equal). We are aware, however, that the one-rate model
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handles trees with few transitions and an imbalance of character states better than the
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two-rate model (Mooers & Schluter 1999) and we therefore also checked the
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optimisations with this model. In most cases this did not give a significantly different
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result and if it did, we report these differences explicitly. Initially, all characters were
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optimised using these assumptions over the MAP tree. Then, to take into account
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phylogenetic uncertainty, each character was optimised over a sample of 1,000
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chronograms obtained from the Penalized Likelihood analysis, and average
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frequencies across trees calculated for each node of the MAP tree.
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Randomness of the distribution
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We tested for phylogenetic conservative characters by calculating the number of steps
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each character required for a parsimony reconstruction over the MAP tree, and
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comparing this to the distribution of minimum steps for the same character reshuffled
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1000 times using Mesquite (Maddison & Maddison 2009), while keeping the
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proportions of the states constant. If the number of steps of the observed distribution
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was outside 950 (95%) of the randomised state distributions, then the Null hypothesis
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that the character states were phylogenetically randomly distributed was rejected.
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Supporting References
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Bytebier, B., Bellstedt, D. U. & Linder, P. H. 2007 A molecular phylogeny for the
large African orchid genus Disa. Mol Phylogenet Evol 43, 75-90.
Drummond, A. & Rambaut, A. 2007 BEAST: Bayesian evolutionary analysis by
sampling trees. BMC Evol Biol 7, 214.
Felsenstein, J. 1981 Evolutionary trees from DNA-sequences - a maximum-likelihood
approach. J Mol Evol 17, 368-376.
Geerinck, D. 1984 Orchidaceae (premiere partie). Flore d'Afrique Centrale (ZaireRwanda-Burundi). Meise, Belgium: Jardin botanique national de Belgique.
Hardy, C. R. & Linder, H. P. 2005 Intraspecific variability and timing in ancestral
ecology reconstruction: A test case from the Cape flora. Syst Biol 54, 299-316.
la Croix, I. & Cribb, P. J. 1995 163. Orchidaceae. Flora Zambesiaca. London: Flora
Zambesiaca Managing Committee.
la Croix, I. F., la Croix, E. A. S. & la Croix, T. M. 1991 Orchids of Malawi.
Rotterdam & Brookfield: A.A. Balkema.
Linder, H. P. 1981a Taxonomic Studies in the Disinae (Orchidaceae). IV. A Revision
of Disa Berg. sect. Micranthae Lindl. Bull Jard Bot Natl Belg 51, 255-346.
Linder, H. P. 1981b Taxonomic studies in the Disinae. V. A revision of the genus
Monadenia. Bothalia 13, 339-363.
Linder, H. P. 1981c Taxonomic studies in the Disinae. VI. A revision of the genus
Herschelia. Bothalia 13, 365-388.
Linder, H. P. 1981d Taxonomic studies in the Disinae: 2. A revision of the genus
Schizodium Lindl. J. S. Afr. Bot. 47, 339-371.
Linder, H. P. 1981e Taxonomic studies on the Disinae. III. A revision of Disa Berg.
excluding Sect. Micranthae Lindl. Contr Bolus Herb 9.
Linder, H. P. & Kurzweil, H. 1999 Orchids of southern Africa. Rotterdam/Brookfield:
A.A. Balkema.
Linder, H. P., Kurzweil, H. & Johnson, S. D. 2005 The Southern African orchid flora:
composition, sources and endemism. J Biogeogr 32, 29-47.
Maddison, W. P. & Maddison, D. R. 2009 Mesquite: a modular system for
evolutionary analysis
Marloth, R. 1904 Results of experiments on Table Mountain for ascertaining the
amount of moisture deposited from southeaster clouds. Trans S African Philos
Soc 14, 403-408.
Mooers, A. O. & Schluter, D. 1999 Reconstructing ancestor states with maximum
likelihood: Support for one- and two-rate models. Syst Biol 48, 623-633.
Rambaut, A. & Drummond, A. J. 2007 Tracer
Renner, S. S. 2005 Relaxed molecular clocks for dating historical plant dispersal
events. Trends Plant Sci 10, 550-558.
Rutherford, M. C. 1997 Categorisation of biomes. In Vegetation of Southern Africa
(ed. R. M. Cowling, D. M. Richardson & S. M. Pierce), pp. 91-98. Cambridge,
U.K.: Cambridge University Press.
Rutherford, M. C. & Westfall, R. 1986 Biomes of southern Africa - an objective
categorisation. Mem Bot Surv South Africa 54, 1-98.
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current methods that estimate divergence times. Divers Distrib 12, 35-48.
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Sanderson, M. J. 2002 Estimating absolute rates of molecular evolution and
divergence times: a penalized likelihood approach. Mol Biol Evol 19, 101-109.
Schulze, R. E. 1997 South African atlas of agrohydrology and climatology. Pretoria,
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Summerhayes, V. S. 1968 Orchidaceae (Part I). Flora of Tropical East Africa.
London, U.K.: Crown Agents for Oversea Governments and Administrations.
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Figure Captions
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Figure S1 Maximum a posteriori (MAP) cladogram yielded under a Bayesian
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analysis of phylogeny among 136 taxa within the genus Disa. Dashed lines indicate
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nodes with Bayesian posterior probability < 0.50. Nodes numbers are shown within
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circles and referred to in Table S1. Intrageneric sections within Disa are given
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following the species names. For a fully annotated tree see (Bytebier et al. 2007).
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Figure S2 Molecular chronogram of Disa, as inferred under Penalized Likelihood
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implemented in r8s. Green bars at node intersections indicate 95% confidence
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intervals of ages (N = 1,000). The tree topology is the same as in Fig. S1, but with
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branch lengths equal to mean ages. Ages in million of years from present.
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Figure S3 Molecular chronogram of Disa, as inferred under a relaxed Bayesian clock
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implemented in BEAST. Green bars at node intersections indicate 95% highest
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posterior densities of ages (N = 16,000). Ages in million of years from present.
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Figure S4 Summary of ancestral state optimisations for biome, as inferred using the
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asymmetrical (two-rate) likelihood model implemented in Mesquite over a sample of
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PL chronograms (N = 1,000). Habitat shifts supported by average likelihoods ≥ 0.70
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are indicated by an asterisk; all others have average likelihoods ≥ 0.95.
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Figure S5 Summary of ancestral state optimisations for rainfall, as inferred using the
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asymmetrical (two-rate) likelihood model implemented in Mesquite over a sample of
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PL chronograms (N = 1,000). Habitat shifts supported by average likelihoods ≥ 0.70
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are indicated by an asterisk; all others have average likelihoods ≥ 0.95.
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Figure S6 Summary of ancestral state optimisations for habitat, as inferred using the
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asymmetrical (two-rate) likelihood model implemented in Mesquite over a sample of
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PL chronograms (N = 1,000). Habitat shifts supported by average likelihoods ≥ 0.70
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are indicated by an asterisk; all others have average likelihoods ≥ 0.95.
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