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2.
Syst Biol ; 72(3): 530-543, 2023 Jun 17.
Artigo em Inglês | MEDLINE | ID: mdl-36331534

RESUMO

Phylogenomic analysis of large genome-wide sequence data sets can resolve phylogenetic tree topologies for large species groups, help test the accuracy of and improve resolution for earlier multi-locus studies and reveal the level of agreement or concordance within partitions of the genome for various tree topologies. Here we used a target-capture approach to sequence 1088 single-copy exons for more than 200 labrid fishes together with more than 100 outgroup taxa to generate a new data-rich phylogeny for the family Labridae. Our time-calibrated phylogenetic analysis of exon-capture data pushes the root node age of the family Labridae back into the Cretaceous to about 79 Ma years ago. The monotypic Centrogenys vaigiensis, and the order Uranoscopiformes (stargazers) are identified as the sister lineages of Labridae. The phylogenetic relationships among major labrid subfamilies and within these clades were largely congruent with prior analyses of select mitochondrial and nuclear datasets. However, the position of the tribe Cirrhilabrini (fairy and flame wrasses) showed discordance, resolving either as the sister to a crown julidine clade or alternatively sister to a group formed by the labrines, cheilines and scarines. Exploration of this pattern using multiple approaches leads to slightly higher support for this latter hypothesis, highlighting the importance of genome-level data sets for resolving short internodes at key phylogenetic positions in a large, economically important groups of coral reef fishes. More broadly, we demonstrate how accounting for sources of biological variability from incomplete lineage sorting and exploring systematic error at conflicting nodes can aid in evaluating alternative phylogenetic hypotheses. [coral reefs; divergence time estimation; exon-capture; fossil calibration; incomplete lineage sorting.].


Assuntos
Peixes , Perciformes , Animais , Filogenia , Perciformes/genética , Genoma
3.
Mol Phylogenet Evol ; 177: 107616, 2022 12.
Artigo em Inglês | MEDLINE | ID: mdl-35998799

RESUMO

Clades of marine fishes exhibit many patterns of diversification, ranging from relatively constant throughout time to rapid changes in the rates of speciation and extinction. The goatfishes (Syngnatharia: Mullidae) are a family of marine, reef associated fishes with a relatively recent origin, distributed globally in tropical and temperate waters. Despite their abundance and economic importance, the goatfishes remain one of the few coral reef families for which the species level relationships have not been examined using genomic techniques. Here we use phylogenomic analysis of ultra-conserved elements (UCE) and exon data to resolve a well-supported, time-calibrated phylogeny for 72 species of goatfishes, supporting a recent crown age of the goatfishes at 21.9 million years ago. We used this framework to test hypotheses about the associations among body shape morphometrics, taxonomy, and phylogeny, as well as to explore relative diversification rates across the phylogeny. Body shape was strongly associated with generic-level taxonomy of goatfishes, with morphometric analyses showing evidence for high phylogenetic signal across all morphotypes. Rates of diversification in this clade reveal a recent sharp increase in lineage accumulation, with 92% of the goatfish species sampled across all clades and major body plans having originated in just the past 5 million years. We suggest that habitat diversity in the early Pliocene oceans and the generalist ecology of goatfishes are key factors in the unusual evolutionary tempo of the family Mullidae.


Assuntos
Perciformes , Somatotipos , Animais , Recifes de Corais , Peixes , Perciformes/genética , Filogenia
4.
Proc Natl Acad Sci U S A ; 119(29): e2122486119, 2022 07 19.
Artigo em Inglês | MEDLINE | ID: mdl-35858316

RESUMO

Body size is an important species trait, correlating with life span, fecundity, and other ecological factors. Over Earth's geological history, climate shifts have occurred, potentially shaping body size evolution in many clades. General rules attempting to summarize body size evolution include Bergmann's rule, which states that species reach larger sizes in cooler environments and smaller sizes in warmer environments, and Cope's rule, which poses that lineages tend to increase in size over evolutionary time. Tetraodontiform fishes (including pufferfishes, boxfishes, and ocean sunfishes) provide an extraordinary clade to test these rules in ectotherms owing to their exemplary fossil record and the great disparity in body size observed among extant and fossil species. We examined Bergmann's and Cope's rules in this group by combining phylogenomic data (1,103 exon loci from 185 extant species) with 210 anatomical characters coded from both fossil and extant species. We aggregated data layers on paleoclimate and body size from the species examined, and inferred a set of time-calibrated phylogenies using tip-dating approaches for downstream comparative analyses of body size evolution by implementing models that incorporate paleoclimatic information. We found strong support for a temperature-driven model in which increasing body size over time is correlated with decreasing oceanic temperatures. On average, extant tetraodontiforms are two to three times larger than their fossil counterparts, which otherwise evolved during periods of warmer ocean temperatures. These results provide strong support for both Bergmann's and Cope's rules, trends that are less studied in marine fishes compared to terrestrial vertebrates and marine invertebrates.


Assuntos
Evolução Biológica , Tamanho Corporal , Tetraodontiformes , Animais , Fósseis , Filogenia , Tetraodontiformes/anatomia & histologia , Tetraodontiformes/classificação , Tetraodontiformes/genética
5.
Heredity (Edinb) ; 129(4): 233-243, 2022 10.
Artigo em Inglês | MEDLINE | ID: mdl-35821279

RESUMO

This study investigates a contact zone between two silverside fish species (marine Odontesthes argentinensis and freshwater O. bonariensis) in the estuarine Mar Chiquita lagoon along the Atlantic coast in Argentina (MChL), in which intermediate morphs had been reported. It has been suggested that admixture and introgression occur in MChL between these two species, but direct genetic evidence is lacking. Leveraging samples collected over several years (n = 676), we document the spatial distribution of both species and intermediate morphs within this habitat and collect landmark-based morphometric and multilocus genetic data (9876 loci for n = 110 individuals) to test the hypothesis of hybridization. Our analysis unambiguously characterizes intermediate morphs as F1 or F2 hybrids. We show that the low frequency of hybrid individuals in MChL may be explained by uneven abundance of parental species, which in turn are strongly affected by water salinity, limiting the size of the contact zone. Although hybrids seem to be fertile, their fitness may be reduced by external and intrinsic factors that may limit their success and suggest that this is an unstable hybrid zone. Genetic distinctiveness of both parental species is strongly supported by genome-wide data, explaining a known pattern of mitonuclear discordance as a consequence of hybridization followed by mitochondrial introgression. A clear signature of population genetic structure was detected in O. argentinensis, distinguishing MChL residents from marine populations of this species, that also was supported by distinctive morphometric features among these groups. Previous hypotheses of speciation in these fishes are discussed in the light of the new findings.


Assuntos
Peixes , Salinidade , Animais , Peixes/genética , Água Doce , Hibridização Genética , Água
6.
Syst Biol ; 71(5): 1032-1044, 2022 08 10.
Artigo em Inglês | MEDLINE | ID: mdl-35041001

RESUMO

Bonytongues (Osteoglossomorpha) constitute an ancient clade of teleost fishes distributed in freshwater habitats throughout the world. The group includes well-known species such as arowanas, featherbacks, pirarucus, and the weakly electric fishes in the family Mormyridae. Their disjunct distribution, extreme morphologies, and electrolocating capabilities (Gymnarchidae and Mormyridae) have attracted much scientific interest, but a comprehensive phylogenetic framework for comparative analysis is missing, especially for the species-rich family Mormyridae. Of particular interest are disparate craniofacial morphologies among mormyrids which might constitute an exceptional model system to study convergent evolution. We present a phylogenomic analysis based on 546 exons of 179 species (out of 260), 28 out of 29 genera, and all six families of extant bonytongues. Based on a recent reassessment of the fossil record of osteoglossomorphs, we inferred dates of divergence among transcontinental clades and the major groups. The estimated ages of divergence among extant taxa (e.g., Osteoglossomorpha, Osteoglossiformes, and Mormyroidea) are older than previous reports, but most of the divergence dates obtained for clades on separate continents are too young to be explained by simple vicariance hypotheses. Biogeographic analysis of mormyrids indicates that their high species diversity in the Congo Basin is a consequence of range reductions of previously widespread ancestors and that the highest diversity of craniofacial morphologies among mormyrids originated in this basin. Special emphasis on a taxon-rich representation for mormyrids revealed pervasive misalignment between our phylogenomic results and mormyrid taxonomy due to repeated instances of convergence for extreme craniofacial morphologies. Estimation of ancestral phenotypes revealed contingent evolution of snout elongation and unique projections from the lower jaw to form the distinctive Schnauzenorgan. Synthesis of comparative analyses suggests that the remarkable craniofacial morphologies of mormyrids evolved convergently due to niche partitioning, likely enabled by interactions between their exclusive morphological and electrosensory adaptations. [Africa; ancestral state estimation; diversity; exon capture; freshwater fishes; Phylogenomics.].


Assuntos
Peixe Elétrico , Animais , Peixe Elétrico/genética , Peixes/genética , Fósseis , Água Doce , Filogenia , Língua
7.
Mol Phylogenet Evol ; 166: 107315, 2022 01.
Artigo em Inglês | MEDLINE | ID: mdl-34537325

RESUMO

There is an extensive collection of literature on the taxonomy and phylogenetics of flatfishes (Pleuronectiformes) that extends over two centuries, but consensus on many of their evolutionary relationships remains elusive. Phylogenetic uncertainty stems from highly divergent results derived from morphological and genetic characters, and between various molecular datasets. Deciphering relationships is complicated by rapid diversification early in the Pleuronectiformes tree and an abundance of studies that incompletely and inconsistently sample taxa and genetic markers. We present phylogenies based on a genome-wide dataset (4,434 nuclear markers via exon-capture) and wide taxon sampling (86 species spanning 12 of 16 families) of the largest flatfish suborder (Pleuronectoidei). Nine different subsets of the data and two tree construction approaches (eighteen phylogenies in total) are remarkably consistent with other recent molecular phylogenies, and show strong support for the monophyly of all families included except Pleuronectidae. Analyses resolved a novel phylogenetic hypothesis for the family Rhombosoleidae as being within the Pleuronectoidea rather than the Soleoidea, and failed to support the subfamily Hippoglossinae as a monophyletic group. Our results were corroborated with evidence from previous phylogenetic studies to outline regions of persistent phylogenetic uncertainty and identify groups in need of further phylogenetic inference.


Assuntos
Linguados , Animais , Evolução Biológica , Éxons , Linguados/genética , Genoma , Humanos , Filogenia
8.
Syst Biol ; 70(6): 1123-1144, 2021 10 13.
Artigo em Inglês | MEDLINE | ID: mdl-33783539

RESUMO

The use of high-throughput sequencing technologies to produce genome-scale data sets was expected to settle some long-standing controversies across the Tree of Life, particularly in areas where short branches occur at deep timescales. Instead, these data sets have often yielded many well-supported but conflicting topologies, and highly variable gene-tree distributions. A variety of branch-support metrics beyond the nonparametric bootstrap are now available to assess how robust a phylogenetic hypothesis may be, as well as new methods to quantify gene-tree discordance. We applied multiple branch-support metrics to a study of an ancient group of marine fishes (Teleostei: Pelagiaria) whose interfamilial relationships have proven difficult to resolve due to a rapid accumulation of lineages very early in its history. We analyzed hundreds of loci including published ultraconserved elements and newly generated exonic data along with their flanking regions to represent all 16 extant families for more than 150 out of 284 valid species in the group. Branch support was typically lower at inter- than intra-familial relationships regardless of the type of marker used. Several nodes that were highly supported with bootstrap had a very low site and gene-tree concordance, revealing underlying conflict. Despite this conflict, we were able to identify four consistent interfamilial clades, each comprised of two or three families. Combining exons with their flanking regions also produced increased branch lengths at the deep branches of the pelagiarian tree. Our results demonstrate the limitations of employing current metrics of branch support and species-tree estimation when assessing the confidence of ancient evolutionary radiations and emphasize the necessity to embrace alternative measurements to explore phylogenetic uncertainty and discordance in phylogenomic data sets.[Concatenation; exons; introns; phylogenomics; species-tree methods; target capture.].


Assuntos
Benchmarking , Atum , Animais , Evolução Biológica , Peixes , Humanos , Filogenia
9.
Mol Ecol Resour ; 21(3): 816-833, 2021 Apr.
Artigo em Inglês | MEDLINE | ID: mdl-33084200

RESUMO

Exon markers have a long history of use in phylogenetics of ray-finned fishes, the most diverse clade of vertebrates with more than 35,000 species. As the number of published genomes increases, it has become easier to test exons and other genetic markers for signals of ancient duplication events and filter out paralogues that can mislead phylogenetic analysis. We present seven new probe sets for current target-capture phylogenomic protocols that capture 1,104 exons explicitly filtered for paralogues using gene trees. These seven probe sets span the diversity of teleost fishes, including four sets that target five hyperdiverse percomorph clades which together comprise ca. 17,000 species (Carangaria, Ovalentaria, Eupercaria, and Syngnatharia + Pelagiaria combined). We additionally included probes to capture legacy nuclear exons and mitochondrial markers that have been commonly used in fish phylogenetics (despite some exons being flagged for paralogues) to facilitate integration of old and new molecular phylogenetic matrices. We tested these probes experimentally for 56 fish species (eight species per probe set) and merged new exon-capture sequence data into an existing data matrix of 1,104 exons and 300 ray-finned fish species. We provide an optimized bioinformatics pipeline to assemble exon capture data from raw reads to alignments for downstream analysis. We show that legacy loci with known paralogues are at risk of assembling duplicated sequences with target-capture, but we also assembled many useful orthologous sequences that can be integrated with many PCR-generated matrices. These probe sets are a valuable resource for advancing fish phylogenomics because targeted exons can easily be extracted from increasingly available whole genome and transcriptome data sets, and also may be integrated with existing PCR-based exon and mitochondrial data.


Assuntos
Biologia Computacional , Evolução Molecular , Éxons , Peixes , Animais , Peixes/genética , Filogenia
10.
Proc Natl Acad Sci U S A ; 117(52): 33396-33403, 2020 12 29.
Artigo em Inglês | MEDLINE | ID: mdl-33328271

RESUMO

Repeatable, convergent outcomes are prima facie evidence for determinism in evolutionary processes. Among fishes, well-known examples include microevolutionary habitat transitions into the water column, where freshwater populations (e.g., sticklebacks, cichlids, and whitefishes) recurrently diverge toward slender-bodied pelagic forms and deep-bodied benthic forms. However, the consequences of such processes at deeper macroevolutionary scales in the marine environment are less clear. We applied a phylogenomics-based integrative, comparative approach to test hypotheses about the scope and strength of convergence in a marine fish clade with a worldwide distribution (snappers and fusiliers, family Lutjanidae) featuring multiple water-column transitions over the past 45 million years. We collected genome-wide exon data for 110 (∼80%) species in the group and aggregated data layers for body shape, habitat occupancy, geographic distribution, and paleontological and geological information. We also implemented approaches using genomic subsets to account for phylogenetic uncertainty in comparative analyses. Our results show independent incursions into the water column by ancestral benthic lineages in all major oceanic basins. These evolutionary transitions are persistently associated with convergent phenotypes, where deep-bodied benthic forms with truncate caudal fins repeatedly evolve into slender midwater species with furcate caudal fins. Lineage diversification and transition dynamics vary asymmetrically between habitats, with benthic lineages diversifying faster and colonizing midwater habitats more often than the reverse. Convergent ecological and functional phenotypes along the benthic-pelagic axis are pervasive among different lineages and across vastly different evolutionary scales, achieving predictable high-fitness solutions for similar environmental challenges, ultimately demonstrating strong determinism in fish body-shape evolution.


Assuntos
Organismos Aquáticos/fisiologia , Evolução Biológica , Peixes/fisiologia , Água , Animais , Ecossistema , Modelos Teóricos , Filogenia , Filogeografia , Incerteza
11.
Mol Ecol ; 29(4): 738-751, 2020 02.
Artigo em Inglês | MEDLINE | ID: mdl-31919910

RESUMO

Rivers and lake systems in the southern cone of South America have been widely influenced by historical glaciations, carrying important implications for the evolution of aquatic organisms, including prompting transitions between marine and freshwater habitats and by triggering hybridization among incipient species via waterway connectivity and stream capture events. Silverside fishes (Odontesthes) in the region comprise a radiation of 19 marine and freshwater species that have been hypothesized on the basis of morphological or mitochondrial DNA data to have either transitioned repeatedly into continental waters from the sea or colonized marine habitats following freshwater diversification. New double digest restriction-site associated DNA data presented here provide a robust framework to investigate the biogeographical history of and habitat transitions in Odontesthes. We show that Odontesthes silversides originally diversified in the Pacific but independently colonized the Atlantic three times, producing three independent marine-to-freshwater transitions. Our results also indicate recent introgression of marine mitochondrial haplotypes into two freshwater clades, with more recurring instances of hybridization among Atlantic- versus Pacific-slope species. In Pacific freshwater drainages, hybridization with a marine species appears to be geographically isolated and may be related to glaciation events. Substantial structural differences of estuarine gradients between these two geographical areas may have influenced the frequency, intensity and evolutionary effects of hybridization events.


Assuntos
DNA Mitocondrial/genética , Evolução Molecular , Peixes/genética , Filogeografia , Animais , Ecossistema , Especiação Genética , Variação Genética , Genômica , Haplótipos/genética , Lagos , Rios , América do Sul , Especificidade da Espécie
12.
Evolution ; 73(2): 329-345, 2019 02.
Artigo em Inglês | MEDLINE | ID: mdl-30426469

RESUMO

Phylogenomic studies using genome-wide datasets are quickly becoming the state of the art for systematics and comparative studies, but in many cases, they result in strongly supported incongruent results. The extent to which this conflict is real depends on different sources of error potentially affecting big datasets (assembly, stochastic, and systematic error). Here, we apply a recently developed methodology (GGI or gene genealogy interrogation) and data curation to new and published datasets with more than 1000 exons, 500 ultraconserved element (UCE) loci, and transcriptomic sequences that support incongruent hypotheses. The contentious non-monophyly of the order Characiformes proposed by two studies is shown to be a spurious outcome induced by sample contamination in the transcriptomic dataset and an ambiguous result due to poor taxonomic sampling in the UCE dataset. By exploring the effects of number of taxa and loci used for analysis, we show that the power of GGI to discriminate among competing hypotheses is diminished by limited taxonomic sampling, but not equally sensitive to gene sampling. Taken together, our results reinforce the notion that merely increasing the number of genetic loci for a few representative taxa is not a robust strategy to advance phylogenetic knowledge of recalcitrant groups. We leverage the expanded exon capture dataset generated here for Characiformes (206 species in 23 out of 24 families) to produce a comprehensive phylogeny and a revised classification of the order.


Assuntos
Caraciformes/genética , Filogenia , Animais , Bases de Dados Genéticas , Genoma , Estudo de Associação Genômica Ampla , Transcriptoma
13.
Proc Natl Acad Sci U S A ; 115(24): 6249-6254, 2018 06 12.
Artigo em Inglês | MEDLINE | ID: mdl-29760103

RESUMO

Our understanding of phylogenetic relationships among bony fishes has been transformed by analysis of a small number of genes, but uncertainty remains around critical nodes. Genome-scale inferences so far have sampled a limited number of taxa and genes. Here we leveraged 144 genomes and 159 transcriptomes to investigate fish evolution with an unparalleled scale of data: >0.5 Mb from 1,105 orthologous exon sequences from 303 species, representing 66 out of 72 ray-finned fish orders. We apply phylogenetic tests designed to trace the effect of whole-genome duplication events on gene trees and find paralogy-free loci using a bioinformatics approach. Genome-wide data support the structure of the fish phylogeny, and hypothesis-testing procedures appropriate for phylogenomic datasets using explicit gene genealogy interrogation settle some long-standing uncertainties, such as the branching order at the base of the teleosts and among early euteleosts, and the sister lineage to the acanthomorph and percomorph radiations. Comprehensive fossil calibrations date the origin of all major fish lineages before the end of the Cretaceous.


Assuntos
Peixes/genética , Genoma/genética , Transcriptoma/genética , Animais , Evolução Molecular , Éxons/genética , Fósseis , Duplicação Gênica/genética , Genômica/métodos , Modelos Genéticos , Filogenia
14.
Ecol Evol ; 7(14): 5258-5268, 2017 07.
Artigo em Inglês | MEDLINE | ID: mdl-28770064

RESUMO

Salinity gradients are critical habitat determinants for freshwater organisms. Silverside fishes in the genus Odontesthes have recently and repeatedly transitioned from marine to freshwater habitats, overcoming a strong ecological barrier. Genomic and transcriptomic changes involved in this kind of transition are only known for a few model species. We present new data and analyses of gene expression and microbiome composition in the gills of two closely related silverside species, marine O. argentinensis and freshwater O. bonariensis and find more than three thousand transcripts differentially expressed, with osmoregulatory/ion transport genes and immune genes showing very different expression patterns across species. Interspecific differences also involve more than one thousand transcripts with nonsynonymous SNPs in the coding sequences, most of which were not differentially expressed. In addition to characterizing gill transcriptomes from wild-caught marine and freshwater fishes, we test experimentally the response to salinity increases by O. bonariensis collected from freshwater habitats. Patterns of expression in gill transcriptomes of O. bonariensis exposed to high salinity do not resemble O. argentinensis mRNA expression, suggesting lack of plasticity for adaptation to marine conditions in this species. The diversity of functions associated with both the differentially expressed set of transcripts and those with sequence divergence plus marked microbiome differences suggest that multiple abiotic and biotic factors in marine and freshwater habitats are driving transcriptomic differences between these species.

15.
Artigo em Inglês | MEDLINE | ID: mdl-27887945

RESUMO

In vertebrates, kisspeptins and their receptors are known to be related to puberty onset and gonadal maturation, however, there are few studies concerning their role in early development. Here, we characterize the kisspeptin system in the pejerrey, Odontesthes bonariensis, a fish with strong temperature-dependent sex determination. We reconstructed the phylogenetic history of the two ligands (kiss1 and kiss 2) and two receptors (kissr2 and kissr3) in pejerrey in the context of recent classifications of bony fishes, determined their tissue distribution and documented the early expression pattern of these ligands and receptors. Phylogenetic analysis of these gene families clearly resolved the percomorph clade and grouped pejerrey with Beloniformes. Paralogous sets of genes putatively arising from the teleost-specific genome duplication event (3R) were not detected. Kisspeptins and their receptors showed a wide tissue distribution in adult pejerrey, including tissues not related to reproduction. In larvae reared at 24°C, the four kisspeptin elements were expressed in the head from week 1 to week 8 of life, with no differences in transcript levels. Larvae kept at a female-producing temperature (17°C) did not show statistically significant differences in the transcript levels of all analyzed genes during the sex determination/differentiation period; however, in those larvae raised at male producing temperature (29°C), kiss2 levels were increased at week 4 after hatching. These results showed that all members of the kisspeptin system are expressed at this early period, and the increase of kiss2 transcripts at week 4 could be interpreted as it would be related to the differentiation of the brain-pituitary axis in male development.


Assuntos
Peixes/metabolismo , Expressão Gênica , Kisspeptinas/metabolismo , Animais , Feminino , Peixes/classificação , Peixes/crescimento & desenvolvimento , Duplicação Gênica , Kisspeptinas/genética , Masculino , Filogenia , RNA Mensageiro/genética , Reação em Cadeia da Polimerase em Tempo Real
16.
Mol Phylogenet Evol ; 86: 8-23, 2015 May.
Artigo em Inglês | MEDLINE | ID: mdl-25769409

RESUMO

Phylogenetic relationships among families within the order Atheriniformes have been difficult to resolve on the basis of morphological evidence. Molecular studies so far have been fragmentary and based on a small number taxa and loci. In this study, we provide a new phylogenetic hypothesis based on sequence data collected for eight molecular markers for a representative sample of 103 atheriniform species, covering 2/3 of the genera in this order. The phylogeny is calibrated with six carefully chosen fossil taxa to provide an explicit timeframe for the diversification of this group. Our results support the subdivision of Atheriniformes into two suborders (Atherinopsoidei and Atherinoidei), the nesting of Notocheirinae within Atherinopsidae, and the monophyly of tribe Menidiini, among others. We propose taxonomic changes for Atherinopsoidei, but a few weakly supported nodes in our phylogeny suggests that further study is necessary to support a revised taxonomy of Atherinoidei. The time-calibrated phylogeny was used to infer ancestral habitat reconstructions to explain the current distribution of marine and freshwater taxa. Based on these results, the current distribution of Atheriniformes is likely due to widespread marine dispersal along the margins of continents, infrequent trans-oceanic dispersal, and repeated invasion of freshwater habitats. This conclusion is supported by post-Gondwanan divergence times among families within the order, and a high probability of a marine ancestral habitat.


Assuntos
Evolução Biológica , Fósseis , Filogenia , Smegmamorpha/classificação , Animais , Teorema de Bayes , Funções Verossimilhança , Modelos Genéticos , Análise de Sequência de DNA
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