APPENDIX 1.

We conducted a literature survey by searching ISI Web of Knowledge and Google Scholar with the search phrase “living fossil”. In total we read 56 papers, chapters and books. Below we list all the references from which we found an explicit or implied definition.

A1 REFERENCES

Amemiya, C.T. et al., 2013. The African coelacanth genome provides insights into tetrapod evolution. Nature, 496(7445):311-6.

Batten, R.L. 1984. Neopilina, Neomphalus and Neritopsis, living fossil molluscs, p. 218-225. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Biernat, G. and Emig, C.C. 1993. Anatomical distinctions of the Mesozoic lingulide brachiopods. Acta Palaeontologica Polonica, 38:1-20.

Biton, R. Geffen, E., Vences, M., Cohen, O., Bailon, S., Rabinovich, R., Malka, Y., Oron, T., Boistel, R. Brumfeld, V. and Gafny S. 2013. The rediscovered Hula painted frog is a living fossil. Nature Communications, 4:1959. https://doi.org/0.1038/ncomms2959

Buckley, G., Brochu, C., Krause, D. W. and Pol D. 2000. A pug-nosed crocodyliform from the Late Cretaceous of Madagascar. Nature, 405(6789):941-4. https://doi.org/10.1038/35016061s://doi.org/10.1038/35016061

Casane, D. and Laurenti, P. 2013. Why coelacanths are not “living fossils”: a review of molecular and morphological data. BioEssays: News and Reviews in Molecular, Cellular and Developmental Biology, 35(4):332-8. https://doi.org/10.1002/bies.201200145

Colgan, M.W. 1984. Cretaceous coral Heliopora (Octocorallia, Conothecalia) - A Common Indo-Pacific Reef Builder, p. 266-272. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Cracraft, J. 1984. Conceptual and Methodological Aspects of the Study of Evolutionary Rates, with some Comments on Bradytely in Birds, p. 95-104. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Darwin, C., 1858. Letter 2384: Darwin, C.R. to Hooker, J.D. In Darwin Correspondence Project. Cambridge University Press, Cambridge, 1-4. https://www.darwinproject.ac.uk/

Darwin, C., 1859. On the origin of species by means of natural selection (first edition). John Murray, London.

Delson, E. & Rosenberger, A.L. 1984. Are There Any Anthropoid Primate Living Fossils?, p. 50-61. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Eisner, T. 2003. Living Fossils: On Lampreys, Baronia, and the Search for Medicinals. BioScience, 53(3):265-269. https://doi.org/10.1641/0006-3568(2003)053[0265:LFOLBA]2.0.CO;2

Eldredge, N. 1979. Alternative approaches to evolutionary theory, p. 7-19. In Schwartz, J.H. and Rolins, H.B. (eds.), Models and Methodologies in Evolutionary Theory. Bulletin Carnegie Museum of Natural History, Pittsburgh.

Eldredge, N. 1984. Simpson’s inverse: bradytely and the phenomenon of living fossils, p. 272-277. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Emery, R.J. and Thorington, R.W.J. 1984. The tree squirrel Sciurus (Sciuridae, Rodentia) as a living fossil, p. 23-31. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Fisher, D.C. 1984. The Xiphosurida: archetypes of bradytely?, p. 196-214. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Fisher, D.C. 1990. Rates of evolution - living fossils, p. 152-159. In Briggs, D.E.G. and Crowther, P.R. (eds.), Paleobiology: A Synthesis, Blackwell Science.

Forey, P. 1984. The Coelacanth as living fossil, p. 166-170. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Friedman, M. and Coates, M.I. 2006. A Newly Recognized Fossil Coelacanth Highlights the Early Morphological Diversification of the Clade. Proceedings. Biological sciences, The Royal Society, 273(1583):245-50. https://doi.org/10.1098/rspb.2005.3316

Gardiner, B.G. 1984. Sturgeons as living fossils, p.148-153. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Ghislin, M.T. 1984. Peripatus as a living fossil, p. 214-218. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Greenwood, P.H. 1984. Denticeps clupeiodes Clausen (1959), p. 140-143. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Greenwood, P.H. 1984. Polypterus and Erpetoichthys : anachronistic Osteichthyans, p. 143-148. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Hay, J. M., Subramanian, S., Millar, C. D., Mohandesan, E. and Lambert, D. M. 2008. Rapid molecular evolution in a living fossil. Trends in Genetics, 24:106-109. https://doi.org/10.1016/j.tig.2007.12.002

Hessler, R.R. 1984. Cephalocarida: Living Fossil without a Fossil Record, p. 181-187. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Hessler, R.R. and Schram, F.R. 1984. Leptostraca as living fossils, p. 187-192. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Hickman, C.S. 1984. Pleurotomaria: Pedigreed Perseverance?, p. 225-232. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Houbrick, R.S. 1984. Diamstoa melaniodes (Reeve) a Relict Snail from South Australia, 236-240. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Houbrick, R.S. 1984. The Giant Creeper, Campanile symbolicum Iredale, an Australian Relict Marine Snail, p. 232-236. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Houbrick, R.S. 1984. The Relict Cerithiid Prosobranch, Gourmya gourmyi (Creese), p. 240-243. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Isaac, N. J. B., Turvey, S. T., Collen, B., Waterman, C., and Baillie, J. E. M. 2007. Mammals on the EDGE: conservation priorities based on threat and phylogeny. PloS One, 2(3):e296. https://doi.org/10.1371/journal.pone.0000296

Janis, C. 1984. Tapirs as living fossils, p. 80-87. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Janis, C. 1984. Tragulids as living fossils, p. 87-95. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Kano, Y., Kimura, S., Kimura, T. and Warén, A. 2012. Living Monoplacophora: morphological conservatism or recent diversification? Zoologica Scripta, 41(5):471-488. https://doi.org/10.1111/j.1463-6409.2012.00550.x

Maisey, J.G. and Wolfram, K.E. 1984. “Notidanus.”, p. 170-181. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Mathers, T. C., Hammond, R. L., Jenner, R. a, Hänfling, B. and Gómez, A. 2013. Multiple global radiations in tadpole shrimps challenge the concept of “living fossils”. PeerJ, 1, e62. https://doi.org/10.7717/peerj.62

Meyer, E.R. 1984. Crocodilians as living fossils, p. 105-131. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Nagalingum, N.S., Marshall, C. R., Quental, T. B., Rai, H. S. Little, D. P. and Mathews, S. 2011. Recent Synchronous Radiation of a Living Fossil. Science, 334(6057):796-799. https://doi.org/10.1126/science.1209926

Novack, M. 1984. Evolutionary statsis in the elephant shrew, Rhynchocyon, p. 4-23. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Obst, M., Faurby, S. Bussarawit, S. and Funch, P. 2012. Molecular phylogeny of extant horseshoe crabs (Xiphosura, Limulidae) indicates Paleogene diversification of Asian species. Molecular phylogenetics and evolution, 62(1):21-6. https://doi.org/10.1016/j.ympev.2011.08.025

Parsons, P. 1994. Habitats, stress, and evolutionary rates. Journal of Evolutionary Biology, 397(3):387-397. https://doi.org/10.1046/j.1420-9101.1994.7030387.x

Patterson, C. 1984. Family Chanidae and other Teleostean fishes as living fossils, p. 132-140. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Royer, D. L., Hickey, L. J., and Wing, S. L. 2003. Ecological conservatism in the “living fossil” Ginkgo. Paleobiology, 29(1):84-104. https://doi.org/10.1666/0094-8373(2003)029

Rudkin, D. M., Young, G. A. and Nowlan, G. S. 2008. The oldest horseshoe crab: a new xiphosurid from late Ordovician Konservat-Lagerstätten deposits, Manitoba, Canada. Palaeontology, 51(1):1-9. https://doi.org/10.1111/j.1475-4983.2007.00746.x

Schopf, T. J. M. 1984. Rates of evolution and the notion of “living fossils.” Annual Review of Earth Planetary Science, 12:245-292. https://doi.org/10.1146/annurev.ea.12.050184.001333

Schram, F.R. and Hessler, R.R. 1984. Anapisida Syncarida, p. 192-196. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Schultze, H.-P. and Wiley, E.O. 1984. Neopterygian Amia as a living fossil, p. 153-160. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Schwarze, K. and Burmester, T. 2013. Conservation of globin genes in the “living fossil” Latimeria chalumnae and reconstruction of the evolution of the vertebrate globin family. Biochimica et Biophysica Acta - Proteins and Proteomics, 1834:1801-1812. https://doi.org/10.1016/j.bbapap.2013.01.019

Schwartz, J.H. 1984. What is a tarsier?, p. 38-50. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Stanley, S.M., 1984. Does bradytely exist?, p. 278-280. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Stanley, S.M. 1984. Neotrigonia, the sole surviving genus of the Trigoniidae (Bivalvia, Mollusca), p. 243-247. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Stanley, S.M. 1998. Macroevolution: Pattern and Process, The Johns Hopkins University Press, Baltimore.

Tattersall, I. 1984. The tree-shrew, Tupaia: a “living model” of the ancestral primates, p. 32-38. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Venkatesh, B., Lee, A. P., Ravi, V., Maurya, A. K., Lian, M. M., Swann, J. B.,... Warren, W. C. 2014. Elephant shark genome provides unique insights into gnathostome evolution. Nature, 505(7482):174-9. https://doi.org/10.1038/nature12826

Vrba, E. 1984. Evolutionary pattern and process in the sister-group Alcelaphini-Aepycerotini (Mammalia: Bovidae), p. 62-79. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Ward, P., 1984. Is Nautilus a living fossil?, p. 257-266. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Wiley, E.O. and Schultze, H.-P. 1984. Family Lepisosteida (Gars) as living fossils, p. 160-165. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Winston, J.E. and Cheetham, A.H. 1984. The Bryozoan Nellia tenella as a living fossil, p. 257-266. In Eldredge, N. and Stanley, S.M. (eds.), Living Fossils (Casebooks in Earth Sciences), Springer-Verlag, New York.

Wray, C., Landman, N. H., Saunders, W. B. and Bonacum, J. 1995. Genetic Divergence and Geographic Diversification in Nautilus. Paleobiology, 21(2):220-228. https://doi.org/10.1017/S009483730001321X

Yoshida, K. 2002. Long survival of “living fossils” with low taxonomic diversities in an evolving food web. Paleobiology, 28(4):464-473. https://doi.org/10.1666/0094-8373(2002)028<0464:LSOLFW>2.0.CO;2

APPENDIX 2.

Identifying commonly cited aspects of the living fossil and the inconsistency of their use. Here we demonstrate how our nine aspects of the living fossil are represented by examples taken from the casebook of living fossils (Eldredge and Stanley 1984).

APPENDIX 3.

Estimated divergence times of top living fossil vetrebrates according to pEPI using the timetree method and looking-up in fossilcalibration.org.

APPENDIX 4

We used maximum parsimony reconstruction (MPR) (Narushima and Hanazawa, 1997) for estimating the states of internal nodes. This requires that all character traits provided are numeric integers. We, therefore, converted all continuous traits (such as body mass) by binning into ten equally spaced units. For traits that were non-numeric, we made them numeric by randomly assigning numbers. Because trait states are not available for all parts of a tree, we reduce the tree by dropping absent tips and estimated ancestral states for this subset (Appendix 5.1).

MPR estimates upper and lower internal node states (Farris, 1970). We used these numbers to estimate a change score (score) defined as one plus the absolute difference between the summed upper and lower estimates for the ascending and descending nodes that define a branch (eq. 1), see Appendix 5.2.

(A1)

Values of one indicate no change has occurred, values between one and two indicate that change must have occurred for some of the most parsimonious trees, values above two indicate more than one change must have occurred. The score begins at one to prevent zero division errors when calculated contrasted change.

The change scores for each trait were then mapped to the full tree using name matching based on descendants. Scores per trait were equally shared between additional branches that are represented in the full tree (Appendix 5.3). Finally, when calculating the contrasted change score by node, the mean score is calculated for all descendent branches from a node and its previous branch (Appendix 5.4). The sister contrasted change (score c) is then calculated from these data as the mean of contrasted mean changes for all (n) shared traits (t) between a clade (a) and its sister (b). Because traits are non-independent, and some show more possibility of variance than others, our mean was weighted based on the absolute mean of Spearman’s R for shared traits between a clade and its sister (r), and the number of states represented by a trait (s) (eq. 2). Score c was only calculated for clades with estimated change scores for more than four contrastable characters.

(A2)

Farris, J.S. 1970. Methods for Computing Wagner Trees. Systematic Biology, 19(1):83-92. https://doi.org/10.1093/sysbio/19.1.83

Narushima, H. and Hanazawa, M. 1997. A more efficient algorithm for MPR problems in phylogeny. Discrete Applied Mathematics, 80:231-238. https://doi.org/10.1016/S0166-218X(97)00088-7

APPENDIX 5.

Calculating amount of change that has occurred for a single trait. (S1.1) Use maximum parsimony reconstruction to estimate upper and lower states of trait at internal nodes. (S1.2) Calculate change score based on the absolute difference of upper and lower states between previous and next node. (S1.3) Map changes onto larger original tree by equally splitting scores for all branch parts. (S1.4) Calculate score for every node and its sister by calculating mean scores from parental and descendant branches.

APPENDIX 6.

Information and statistics for all clades for which pEPI, EPI and ED scores were calculated. Clades are ordered by pEPI. Common names are not available for all clades, these are automatically taken from NCBI. If you are looking for a specific clade, you may not find it because we only calculate values for clades that split. For example, lungfishes are represented by the clade "Ceratodontimorpha" even though they are more commonly known as "Dipnoi". This is because, according to NCBI taxonomy, the Dipnoi group only has a single child, Ceratodonitmorpha, which from the perspective of evolutionary performance make them the same clade. To find a clade, first search for it at the NCBI taxonomy website (www.ncbi.nlm.nih.gov/taxonomy) to ensure it is splitting. Additionally, many clades were ommitted if their "Success" was greater than 0.01 and/or their parent had fewer than 500 descendent species. This file is available in a zipped file with Appendix 7 as a CSV file for download.

APPENDIX 7.

Contrasted change by character for bottom 250 clades most likely to be living fossils according to pEPI. Values below one indicate character has changed more in sister clade, above one indicate the inverse.  This file is available in a zipped file with Appendix 6 as a CSV file for download.