Phylogenomic Evidence for Multiple Losses of Flight in Ratite Birds
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Lecture Notes: the Mathematics of Phylogenetics
Lecture Notes: The Mathematics of Phylogenetics Elizabeth S. Allman, John A. Rhodes IAS/Park City Mathematics Institute June-July, 2005 University of Alaska Fairbanks Spring 2009, 2012, 2016 c 2005, Elizabeth S. Allman and John A. Rhodes ii Contents 1 Sequences and Molecular Evolution 3 1.1 DNA structure . .4 1.2 Mutations . .5 1.3 Aligned Orthologous Sequences . .7 2 Combinatorics of Trees I 9 2.1 Graphs and Trees . .9 2.2 Counting Binary Trees . 14 2.3 Metric Trees . 15 2.4 Ultrametric Trees and Molecular Clocks . 17 2.5 Rooting Trees with Outgroups . 18 2.6 Newick Notation . 19 2.7 Exercises . 20 3 Parsimony 25 3.1 The Parsimony Criterion . 25 3.2 The Fitch-Hartigan Algorithm . 28 3.3 Informative Characters . 33 3.4 Complexity . 35 3.5 Weighted Parsimony . 36 3.6 Recovering Minimal Extensions . 38 3.7 Further Issues . 39 3.8 Exercises . 40 4 Combinatorics of Trees II 45 4.1 Splits and Clades . 45 4.2 Refinements and Consensus Trees . 49 4.3 Quartets . 52 4.4 Supertrees . 53 4.5 Final Comments . 54 4.6 Exercises . 55 iii iv CONTENTS 5 Distance Methods 57 5.1 Dissimilarity Measures . 57 5.2 An Algorithmic Construction: UPGMA . 60 5.3 Unequal Branch Lengths . 62 5.4 The Four-point Condition . 66 5.5 The Neighbor Joining Algorithm . 70 5.6 Additional Comments . 72 5.7 Exercises . 73 6 Probabilistic Models of DNA Mutation 81 6.1 A first example . 81 6.2 Markov Models on Trees . 87 6.3 Jukes-Cantor and Kimura Models . -
Phylogeny Codon Models • Last Lecture: Poor Man’S Way of Calculating Dn/Ds (Ka/Ks) • Tabulate Synonymous/Non-Synonymous Substitutions • Normalize by the Possibilities
Phylogeny Codon models • Last lecture: poor man’s way of calculating dN/dS (Ka/Ks) • Tabulate synonymous/non-synonymous substitutions • Normalize by the possibilities • Transform to genetic distance KJC or Kk2p • In reality we use codon model • Amino acid substitution rates meet nucleotide models • Codon(nucleotide triplet) Codon model parameterization Stop codons are not allowed, reducing the matrix from 64x64 to 61x61 The entire codon matrix can be parameterized using: κ kappa, the transition/transversionratio ω omega, the dN/dS ratio – optimizing this parameter gives the an estimate of selection force πj the equilibrium codon frequency of codon j (Goldman and Yang. MBE 1994) Empirical codon substitution matrix Observations: Instantaneous rates of double nucleotide changes seem to be non-zero There should be a mechanism for mutating 2 adjacent nucleotides at once! (Kosiol and Goldman) • • Phylogeny • • Last lecture: Inferring distance from Phylogenetic trees given an alignment How to infer trees and distance distance How do we infer trees given an alignment • • Branch length Topology d 6-p E 6'B o F P Edo 3 vvi"oH!.- !fi*+nYolF r66HiH- .) Od-:oXP m a^--'*A ]9; E F: i ts X o Q I E itl Fl xo_-+,<Po r! UoaQrj*l.AP-^PA NJ o - +p-5 H .lXei:i'tH 'i,x+<ox;+x"'o 4 + = '" I = 9o FF^' ^X i! .poxHo dF*x€;. lqEgrE x< f <QrDGYa u5l =.ID * c 3 < 6+6_ y+ltl+5<->-^Hry ni F.O+O* E 3E E-f e= FaFO;o E rH y hl o < H ! E Y P /-)^\-B 91 X-6p-a' 6J. -
Ratite Molecular Evolution, Phylogeny and Biogeography Inferred from Complete Mitochondrial Genomes
RATITE MOLECULAR EVOLUTION, PHYLOGENY AND BIOGEOGRAPHY INFERRED FROM COMPLETE MITOCHONDRIAL GENOMES by Oliver Haddrath A thesis submitted in confonnity with the requirements for the Degree of Masters of Science Graduate Department of Zoology University of Toronto O Copyright by Oliver Haddrath 2000 National Library Biblioth&que nationale 191 .,,da du Canada uisitions and Acquisitions et Services services bibliographiques 395 Welington Street 395. rue WdKngton Ottawa ON KIA ON4 Otîâwâ ON K1A ûN4 Canada Canada The author has granted a non- L'auteur a accordé une iicence non exclusive licence allowing the exclusive permettant A la National Library of Canada to Bihliotheque nationale du Canada de reproduce, loan, distribute or sell reproduire, @ter, distribuer ou copies of diis thesis in microfonn, vendre des copies de cette thèse sous paper or electronic formats. la forme de microfiche/fïîm, de reproduction sur papier ou sur format 61ectronique. The author retains ownership of the L'auteur conserve la propriété du copyright in this thesis. Neither the droit d'auteur qui protège cette tbése. thesis nor substantial exûacts fiom it Ni la thèse ni des extraits substantiels may be priated or otherwise de celle-ci ne doivent être imprimés reproduced without the author's ou autrement reproduits sans son permission. autorisation. Abstract Ratite Molecular Evolution, Phylogeny and Biogeography Inferred fiom Complete Mitochoncîrial Genomes. Masters of Science. 2000. Oliver Haddrath Department of Zoology, University of Toronto. The relationships within the ratite birds and their biogeographic history has been debated for over a century. While the monophyly of the ratites has been established, consensus on the branching pattern within the ratite tree has not yet been reached. -
Chapter 02 Biogeography and Evolution in the Tropics
Chapter 02 Biogeography and Evolution in the Tropics (a) (b) PLATE 2-1 (a) Coquerel’s Sifaka (Propithecus coquereli), a lemur species common to low-elevation, dry deciduous forests in Madagascar. (b) Ring-tailed lemurs (Lemur catta) are highly social. PowerPoint Tips (Refer to the Microsoft Help feature for specific questions about PowerPoint. Copyright The Princeton University Press. Permission required for reproduction or display. FIGURE 2-1 This map shows the major biogeographic regions of the world. Each is distinct from the others because each has various endemic groups of plants and animals. FIGURE 2-2 Wallace’s Line was originally developed by Alfred Russel Wallace based on the distribution of animal groups. Those typical of tropical Asia occur on the west side of the line; those typical of Australia and New Guinea occur on the east side of the line. FIGURE 2-3 Examples of animals found on either side of Wallace’s Line. West of the line, nearer tropical Asia, one 3 nds species such as (a) proboscis monkey (Nasalis larvatus), (b) 3 ying lizard (Draco sp.), (c) Bornean bristlehead (Pityriasis gymnocephala). East of the line one 3 nds such species as (d) yellow-crested cockatoo (Cacatua sulphurea), (e) various tree kangaroos (Dendrolagus sp.), and (f) spotted cuscus (Spilocuscus maculates). Some of these species are either threatened or endangered. PLATE 2-2 These vertebrate animals are each endemic to the Galápagos Islands, but each traces its ancestry to animals living in South America. (a) and (b) Galápagos tortoise (Geochelone nigra). These two images show (a) a saddle-shelled tortoise and (b) a dome-shelled tortoise. -
Titanis Walleri: Bones of Contention
Bull. Fla. Mus. Nat. Hist. (2005) 45(4): 201-229 201 TITANIS WALLERI: BONES OF CONTENTION Gina C. Gould1 and Irvy R. Quitmyer2 Titanis walleri, one of the largest and possibly the last surviving member of the otherwise South American Phorusrhacidae is re- considered in light of all available data. The only verified phorusrhacid recovered in North America, Titanis was believed to exhibit a forward-extending arm with a flexible claw instead of a traditional bird wing like the other members of this extinct group. Our review of the already described and undescribed Titanis material housed at the Florida Museum of Natural History suggest that Titanis: (1) was like other phorusrhacids in sporting small, ineffectual ratite-like wings; (2) was among the tallest of the known phorusrhacids; and (3) is the last known member of its lineage. Hypotheses of its range extending into the Pleistocene of Texas are challenged, and herein Titanis is presumed to have suffered the same fate of many other Pliocene migrants of the Great American Interchange: extinction prior to the Pleistocene. Key Words: Phorusrhacidae; Great American Biotic Interchange; Florida; Pliocene; Titanis INTRODUCTION men on the tarsometatarsus, these specimens were as- Titanis walleri (Brodkorb 1963), more commonly known signed to the Family Phorusrhacidae (Brodkorb 1963) as the North American ‘Terror Bird’, is one of the larg- and named after both a Titan Goddess from Greek my- est known phorusrhacids, an extinct group of flightless thology and Benjamin Waller, the discoverer of the fos- carnivorous birds from the Tertiary of South America, sils (Zimmer 1997). Since then, isolated Titanis mate- and most likely, the last known member of its lineage rial has been recovered from three other localities in (Brodkorb 1967; Tonni 1980; Marshall 1994; Alvarenga Florida (Table 1; Fig. -
Complete Mitochondrial Genome Sequences of Two Extinct Moas
letters to nature ................................................................. the small amounts of sequence data available, particularly for the Complete mitochondrial genome extinct moa. To resolve this issue we used ancient DNA techniques to generate sequences of two extinct moas contiguous sequences of the complete mitochondrial genomes of two moa genera, Emeus crassus and Dinornis giganteus, as a series of clarify ratite evolution 400±600 base-pair (bp) ampli®cations from subfossil bones 1,300± 1,500 years old (see Methods). Competitive polymerase chain reac- Alan Cooper*², Carles Lalueza-Fox*³, Simon Anderson*, tion (PCR) assays indicated that mtDNA was preserved at around Andrew Rambaut², Jeremy Austin§ & Ryk Ward* 0.3±1.5 million copies per gram of bone in the specimens, roughly three orders of magnitude higher than the Neanderthal (2,500± * Department of Biological Anthropology and Henry Wellcome Ancient 3,750 copies per g) and Ice Man DNA (8,600 copies per g), but Biomolecules Centre, University of Oxford, Oxford OX1 6UE, UK similar to some Hohokam mummies from the US southwest (2 ² Department of Zoology, University of Oxford, Oxford OX2 3PS, UK million copies per g)12,13. The high concentration of moa mtDNA ³ Seccio Antropologia, Facultat de Biologia, Universitat de Barcelona, indicates that ampli®ed sequences are unlikely to be in¯uenced by Barcelona 08028, Spain damage to individual template molecules12,13. This was con®rmed by § Department of Zoology, The Natural History Museum, Cromwell Road, cloning experiments (Table 1) where sequencing discrepancies London SW7 5BD, UK occurred at rates comparable to modern taxa (,2 errors per .............................................................................................................................................. 1,000 bp) and consisted mainly of singletons. -
Convergent Regulatory Evolution and the Origin of Flightlessness in Palaeognathous Birds
bioRxiv preprint doi: https://doi.org/10.1101/262584; this version posted February 8, 2018. The copyright holder for this preprint (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. Convergent regulatory evolution and the origin of flightlessness in palaeognathous birds Timothy B. Sackton* (1,2), Phil Grayson (2,3), Alison Cloutier (2,3), Zhirui Hu (4), Jun S. Liu (4), Nicole E. Wheeler (5,6), Paul P. Gardner (5,7), Julia A. Clarke (8), Allan J. Baker (9,10), Michele Clamp (1), Scott V. Edwards* (2,3) Affiliations: 1) Informatics Group, Harvard University, Cambridge, USA 2) Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, USA 3) Museum of Comparative Zoology, Harvard University, Cambridge, USA 4) Department of Statistics, Harvard University, Cambridge, USA 5) School of Biological Sciences, University of Canterbury, New Zealand 6) Wellcome Sanger Institute, Wellcome Genome Campus, Cambridge, UK 7) Department of Biochemistry, University of Otago, New Zealand 8) Jackson School of Geosciences, The University of Texas at Austin, Austin, USA 9) Department of Natural History, Royal Ontario Museum, Toronto, Canada 10) Department of Ecology and Evolutionary Biology, University of Toronto, Toronto, Canada *correspondence to: TBS ([email protected]) or SVE ([email protected]) bioRxiv preprint doi: https://doi.org/10.1101/262584; this version posted February 8, 2018. The copyright holder for this preprint (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. The relative roles of regulatory and protein evolution in the origin and loss of convergent phenotypic traits is a core question in evolutionary biology. -
Introduction to Phylogenetics Workshop on Molecular Evolution 2018 Marine Biological Lab, Woods Hole, MA
Introduction to Phylogenetics Workshop on Molecular Evolution 2018 Marine Biological Lab, Woods Hole, MA. USA Mark T. Holder University of Kansas Outline 1. phylogenetics is crucial for comparative biology 2. tree terminology 3. why phylogenetics is difficult 4. parsimony 5. distance-based methods 6. theoretical basis of multiple sequence alignment Part #1: phylogenetics is crucial for biology Species Habitat Photoprotection 1 terrestrial xanthophyll 2 terrestrial xanthophyll 3 terrestrial xanthophyll 4 terrestrial xanthophyll 5 terrestrial xanthophyll 6 aquatic none 7 aquatic none 8 aquatic none 9 aquatic none 10 aquatic none slides by Paul Lewis Phylogeny reveals the events that generate the pattern 1 pair of changes. 5 pairs of changes. Coincidence? Much more convincing Many evolutionary questions require a phylogeny Determining whether a trait tends to be lost more often than • gained, or vice versa Estimating divergence times (Tracy Heath Sunday + next • Saturday) Distinguishing homology from analogy • Inferring parts of a gene under strong positive selection (Joe • Bielawski and Belinda Chang next Monday) Part 2: Tree terminology A B C D E terminal node (or leaf, degree 1) interior node (or vertex, degree 3+) split (bipartition) also written AB|CDE or portrayed **--- branch (edge) root node of tree (de gree 2) Monophyletic groups (\clades"): the basis of phylogenetic classification black state = a synapomorphy white state = a plesiomorphy Paraphyletic Polyphyletic grey state is an autapomorphy (images from Wikipedia) Branch rotation does not matter ACEBFDDAFBEC Rooted vs unrooted trees ingroup: the focal taxa outgroup: the taxa that are more distantly related. Assuming that the ingroup is monophyletic with respect to the outgroup can root a tree. -
Avian Evolution, Gondwana Biogeography and the Cretaceous
doi 10.1098/rspb.2000.1368 Avian evolution, Gondwana biogeography and the Cretaceous±Tertiary mass extinction event Joel Cracraft Department of Ornithology, American Museum of Natural History, Central Park West at 79th Street, NewYork, NY 10024, USA ( [email protected]) The fossil record has been used to support the origin and radiation of modern birds (Neornithes) in Laurasia after the Cretaceous^Tertiary mass extinction event, whereas molecular clocks have suggested a Cretaceous origin for most avian orders.These alternative views of neornithine evolution are examined using an independent set of evidence, namely phylogenetic relationships and historical biogeography. Phylogenetic relationships of basal lineages of neornithines, including ratite birds and their allies (Palaeognathae), galliforms and anseriforms (Galloanserae), as well as lineages of the more advanced Neoaves (Gruiformes, Caprimulgiformes, Passeriformes and others) demonstrate pervasive trans- Antarctic distribution patterns.The temporal history of the neornithines can be inferred from fossil taxa and the ages of vicariance events, and along with their biogeographical patterns, leads to the conclusion that neornithines arose in Gondwana prior to the Cretaceous^Tertiary extinction event. Keywords: Neornithes; avian evolution; biogeography; Gondwana; Cretaceous^Tertiary extinction marker of neornithine beginnings.The fact that the 1. INTRODUCTION preponderance of the fossils are found in North America The relationships of modern birds, or Neornithes, to non- and Europe is taken as evidence that most higher taxa of avian theropods and Mesozoic pre-neornithine avian birds diversi¢ed on the Laurasian landmass and had lineages, is now well established (Chiappe 1995; Padian little, if anything, to do with Gondwana (Feduccia 1995). & Chiappe 1998; Chiappe et al. -
The Bony Palate of Birds. Part I the Palaeognathae
520 McDowaLL,Bony Palate of Birds [AukLOct. MIRANDA RIBEIRO, PAULO DE 1929. Da nidifica•o de Chaetura½inereiventris. Bol. Mus. Nac. [Rio], 4: 101-105. RIDGWAY, R. 1911. The birds of North and Middle America. Bull. U.S. Nat. Mus., 50 (5): 684. Stcx, H. 1947a. O ninho de Panyptila cayennehals(Gmelin) e algumas observag6escom- pilat6rias s6bre a ecologiade outros andorinh6esBrasileiros. Rev. Bras. Biologla, 7: 219-246. 1947b. The nesting of Reinarda squamata(Cassin). The Auk, 65 (2): 169-174, pl. 6. WI•)-N•vw•), Paz•z Mix. zv 1821. Reise nach Brasilien, 2: ?$. 1850. Beitraege zur Kenntnls der Vogelwelt Brasiliens,5: 347-$51. Fu•da•5o Brasil Ceutral Av. Nilo Pelauha 25 Rio de Jauei•o, Brazil THE BONY PALATE OF BIRDS. PART I THE PALAEOGNATHAE BY SAM MCDOWELL Tins is the first in a seriesof papers in which the author intends to describe the osteologyof the known birds with the end in mind of throwing morelight on their highersystematics. I have chosenas my first topic the bony palate becauseof the stresslaid upon this part of the avian skeletonfrom Cornay to the present in the classification of birds. ACKNOWLEDGMENTS The author is deeply indebted to Dr. Ernst Mayr of the American Museum of Natural History for his generousencouragement and wise advice;to Dr. GeorgeGaylord Simpson,Curator of FossilMammals and Birds of the same institution, for his invaluable suggestionsand commentaries on the preliminary draft of this paper; to Mr. R. deSchauenseeand Mr. James Bond of the Academy of Natural Sciencesof Philadelphiafor generouslyallowing the author the use of the Academy's skeletal material; to Messrs. -
Heterotachy and Long-Branch Attraction in Phylogenetics. Hervé Philippe, Yan Zhou, Henner Brinkmann, Nicolas Rodrigue, Frédéric Delsuc
Heterotachy and long-branch attraction in phylogenetics. Hervé Philippe, Yan Zhou, Henner Brinkmann, Nicolas Rodrigue, Frédéric Delsuc To cite this version: Hervé Philippe, Yan Zhou, Henner Brinkmann, Nicolas Rodrigue, Frédéric Delsuc. Heterotachy and long-branch attraction in phylogenetics.. BMC Evolutionary Biology, BioMed Central, 2005, 5, pp.50. 10.1186/1471-2148-5-50. halsde-00193044 HAL Id: halsde-00193044 https://hal.archives-ouvertes.fr/halsde-00193044 Submitted on 30 Nov 2007 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. BMC Evolutionary Biology BioMed Central Research article Open Access Heterotachy and long-branch attraction in phylogenetics Hervé Philippe*1, Yan Zhou1, Henner Brinkmann1, Nicolas Rodrigue1 and Frédéric Delsuc1,2 Address: 1Canadian Institute for Advanced Research, Centre Robert-Cedergren, Département de Biochimie, Université de Montréal, Succursale Centre-Ville, Montréal, Québec H3C3J7, Canada and 2Laboratoire de Paléontologie, Phylogénie et Paléobiologie, Institut des Sciences de l'Evolution, UMR 5554-CNRS, Université -
C3020 – Molecular Evolution Exercises #3: Phylogenetics
C3020 – Molecular Evolution Exercises #3: Phylogenetics Consider the following sequences for five taxa 1-5 and the known outgroup O, which has the ancestral states (note that sequence 3 has changed from the earlier version to make computation easier) 1 ACAAACAGTT CGATCGATTT GCAGTCTGGG 2 ACAAACAGTT TCTAGCGATT GCAGTCAGGG 3 ACAGACAGTT CGATCGATTT GCAGTCTCGG 4 ACTGACAGTT CGATCGATTT GCAGTCAGAG 5 ATTGACAGTT CGATCGATTT GCAGTCAGGA O TTTGACAGTT CGATCGATTT GCAGTCAGGG 1. Make a distance matrix using raw distances (number of differences) for the five ingroup sequences. | 1 2 3 4 5 1 | - 2 | 9 - 3 | 2 11 - 4 | 4 12 4 - 5 | 5 13 5 3 - 2. Infer the UPGMA tree for these sequences from your matrix. Label the branches with their lengths. /------------1------------- 1 /---1.25 ---| | \------------1------------- 3 /---------3.375------| | | /------------1.5------------4 | \---0.75---| | \------------1.5----------- 5 \---------5.625--------------------------------------------- 2 To derive this tree, start by clustering the two species with the lowest pairwise difference -- 1 and 3 -- and apportion the distance between them equally on the two branches leading from their common ancestor to the two taxa. Treat them as a single composite taxon, with distances from this taxon to any other species equal to the mean of the distances from that species to each of the species that make up the composite (the use of arithmetic means explains why some branch lengths are fractions). Then group the next most similar pair of taxa -- here* it is 4 and 5 -- and apportion the distance equally. Repeat until you have the whole tree and its lengths. 2 is most distant from all other taxa and composite taxa, so it must be the sister to the clade of the other four taxa.