Main

The rate of discovery of Devonian tetrapods accelerated greatly during the late twentieth and early twenty-first centuries. The description of Ichthyostega in 1932 was followed by Acanthostega in 1952, Metaxygnathus in 1977 and Tulerpeton in 1984; all other descriptions or identifications of genera (Hynerpeton, Ventastega, Elginerpeton, Obruchevichthys, Densignathus, Sinostega, Jakubsonia, Ymeria, Webererpeton, Tutusius and Umzantsia) as Devonian tetrapods have occurred since 19941,2,3,4,5,6,7,8,9,10,11,16,17. Unnamed Devonian tetrapod material has previously been described from Belgium12,13 and the USA14,15. However, the fossils of Ichthyostega and Acanthostega from East Greenland9,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31 remain by far the most complete material for Devonian tetrapods, followed by Ventastega fossils from Latvia4,31,32 and Tulerpeton fossils from Russia2,33,34. All of these date to the final stage of the Devonian period (the late Famennian), by which point tetrapods had been in existence for about 30 million years (judging by evidence from trackways35,36) and had colonized both equatorial and polar environments11. Substantial differences between these four genera hint at long, divergent evolutionary histories; notably, the Ichthyostega and Acanthostega fossils have braincases that are fundamentally dissimilar to each other20.

The tetrapod material described here is securely dated to the earliest Famennian age, and is comparable to that of Ventastega in its degree of completeness. It is derived from the Sosnogorsk Formation of the southern part of Timan Ridge (Komi Republic, Russia)37, which straddles the boundary between the Frasnian age (about 382–372 million years ago) and the Famennian age; vertebrate remains occur only in the part of the Sosnogorsk Formation that dates to the Famennian age (Extended Data Fig. 1). The material described here is thus only marginally younger than the oldest known tetrapods Elginerpeton, Obruchevichthys and Webererpeton, which are known only from fragmentary material5,10. The quality of the material described here, which consists of numerous isolated bones and some articulated skull regions, is excellent. Multiple examples of the same bone all show the same distinctive features (Extended Data Fig. 2), which indicates that only a single tetrapod species is present (Extended Data Fig. 3). These fossils give a detailed picture of an animal from the earliest part of the known body-fossil record of the tetrapods.

Systematic palaeontology

Tetrapoda Jaekel, 1909

Parmastega aelidae gen. et sp. nov.

Remarks. The term Tetrapoda is used here in its traditional, apomorphy-based sense of limbed vertebrates.

Etymology. The generic name derives from parma, a word in the Komi language describing the landscape of hills covered by coniferous forest, typical for South Timan, and stégi (Greek) meaning roof, understood here as the skull roof; aelidae honours Aelida I. Popova (Syktyvkar State University) (1929–2011), who first inspired P.A.B.’s interest in the natural sciences.

Holotype. Institute of Geology, Komi Science Centre (IG KSC) 705/1, an articulated snout region (Fig. 1a–c).

Fig. 1: Skull roof, cheek and palate of P. aelidae.
figure 1

ac, Specimen IG KSC 705/1 (all numerical codes in the figure legends refer to specimen numbers in the IG KSC collections), the holotype of P. aelidae. Articulated ethmosphenoid with associated prefrontal in ventral (a), dorsal (b) and lateral (c) views. d, e, 705/2. Skull table in dorsal (d) and ventral (e) views. f, g, 705/17. Skull table and partial braincase in ventral view. g, False-colour image identifying the components of 705/17. h, 705/18. Right frontal, dorsal view. i, 705/19. Left postorbital, external view. j, 705/20. Left jugal, external view. k, 705/25. Left lacrimal, lateral (top) and dorsal (bottom) views. l, 705/26. Right squamosal, external view. m, 705/5. Right prefrontal, external view. n, 705/4. Left postfrontal, lateral (top) and dorsal (bottom) views. o, 705/28. Right maxilla in internal (top), ventral (middle) and external (bottom) views. p, 705/29 (left dermopalatine), 705/30 (ectopterygoid) and 705/31 (pterygoid) in ventral view. q, 705/32. Left dermopalatine in lateral (top) and ventral (bottom) views. cho, choana; fr, frontal; jo, jugal overlap; mr, median rostrals; na, nasal; om, orbital margin; pa, parietal; pc, preopercular contact; pi, pineal foramen; pmx, premaxilla; pll, postorbital lateral line; poo, postorbital overlap; pp, postparietal; prf, prefrontal; psp, parasphenoid; ptf, posttemporal fossa; qjc, quadratojugal contact; sc, semicircular canals; socc, supraoccipital; sn, spiracular notch; sr, spiracular recess; su, supratemporal; ta, tabular; te, tectal; vo, vomer. Scale bars, 10 mm (scale bar below f applies to f, g; the scale bar below c applies to all other panels).

Referred material. One hundred and six individual bones or bone assemblies (Supplementary Table 1).

Locality and horizon. Sosnovskiy Geological Monument, on the right bank of the Izhma River opposite Sosnogorsk (Komi Republic, Russia); Sosnogorsk Formation, lowermost Famennian age (Extended Data Fig. 1).

Diagnosis. A stem tetrapod diagnosed by the following unique combination of characters: dermal ornament of preorbital region developed into transverse parallel ‘wave crests’ with a spacing of a few millimetres; ornament present on dorsal blade of cleithrum and on anocleithrum; orbit strongly raised above skull roof, framed by an anterodorsal crest and a vertical anterior ridge carried on prefrontal; internasal fontanelle absent; median rostral paired; lacrimal excluded from orbit by prefrontal–jugal contact; intertemporal absent; pterygoids separated in midline by parasphenoid; interpterygoid vacuities absent; pterygoid dentition restricted to two lines of denticles, running anteriorly and anterolaterally from growth centre; ectopterygoid making large contribution to lateral wall of subtemporal fossa; middle part of otic capsule narrow, occupying approximately half of skull table width; posttemporal fossa wide, triangular; fang pair and row of marginal teeth on adsymphysial plate; middle part of prearticular with large muscle scar; interclavicle rounded with short posterior process.

Description

The Parmastega material comprises the entire dermal skull (apart from the preopercular and the posterior part of the quadratojugal), the entire ethmoid and dorsal part of the otoccipital braincase, the entire lower jaw, the dermal pectoral girdle and the partly ossified scapulocoracoid (Figs. 1, 2). The material consists of a total of 106 numbered specimens (Supplementary Tables 1, 2), which represents a minimum of 11 individuals; these individuals show a wide range of sizes (Extended Data Figs. 2, 4), but were found within a small area of the site (Extended Data Fig. 1). Most specimens are isolated bones, but an articulated ethmoid (Fig. 1a–c) and several skull tables (Fig. 1d–g) are also present. The bones are three-dimensionally preserved in limestone with little or no distortion, and have been freed from the matrix using dilute acetic acid (Methods). Bones from the same individual can sometimes be identified by matching size and sutural fit (Extended Data Fig. 3). This allows us to reconstruct the skull, lower jaw and pectoral girdle with a high degree of confidence, except for the posterior part of the suspensorium (Fig. 3). Assuming proportions similar to those of Acanthostega19, the maximum length of Parmastega was approximately 130 cm.

Fig. 2: Lower jaw and pectoral girdle of P. aelidae.
figure 2

a, 705/21. Right adsymphysial plate in mesial (top) and dorsal (bottom) views. b, 705/22. Right anterior coronoid in mesial (top) and dorsal (bottom) views. c, 705/33. Right middle coronoid in mesial (top) and dorsal (bottom) views. d, 705/36. Left posterior coronoid in mesial (top) and dorsal (bottom) views. e, 705/37. Articulated left splenial and adsymphysial plate in ventrolateral (top) and mesial (bottom) views. f, 705/34. Articulated left postsplenial, angular and surangular in lateral view. g, 705/76. Left prearticular in mesial view. h, 705/67. Right dentary in lateral (top), dorsal (middle) and mesial (bottom) views. ik, 705/15. Left cleithrum and partial scapulocoracoid in mesial (i), anterior (j) and lateral (k) views. l, 705/95 (right cleithrum) and 705/98 (anocleithrum) in lateral view. m, 705/98. Right anocleithrum in lateral view. no, 705/92 (right clavicle) and 705/89 (interclavicle) in anterior (n) and ventral (o) views. p, 705/102. Left coracoid in lateral view. Scale bars, 10 mm (scale bar between ad applies to these four panels; ep are all shown at the same scale).

Fig. 3: Reconstructions of P. aelidae.
figure 3

a, Skull, lower jaw and pectoral girdle of Parmastega in right lateral view. b, Skull in dorsal view. c, Skull and pectoral girdle in anterior view. d, Skull in ventral view. e, Right lower jaw ramus in mesial view. ac, anterior coronoid; adsym, adsymphysial plate; an, anocleithrum; ang, angular; art, articular; cla, clavicle; clei, cleithrum; cor, coracoid; de, dentary; dpal, dermopalatine; ect, ectopterygoid; eth, ethmoid; gle, glenoid; icl, interclavicle; ju, jugal; la, lacrimal; mc, middle coronoid; mx, maxilla; no, nostril; orb, orbit; ob, otoccipital braincase; po, postorbital; poc, posterior coronoid; pof, postfrontal; pospl, postsplenial; preart, prearticular; pter, pterygoid; qj, quadratojugal; scap, scapula; spl, splenial; sq, squamosal; suf, subtemporal fossa; sur, surangular. Vertical hatching indicates a missing element with unknown outline; horizontal hatching indicates a damaged object with known outline. Scale of reconstruction determined by largest individual. Scale bars, 10 mm (ad are all shown to the same scale, which is given in a).

The shape of the skull is broadly similar to that of Ventastega and Acanthostega, although the orbits of Parmastega are raised higher above the skull table and the snout has a distinctly concave profile (Extended Data Fig. 4). The strongly raised orbits and relatively narrow snout are reminiscent of the elpistostegids Elpistostege and Tiktaalik38,39. However, the orbits of Parmastega are proportionately larger than those in the elpistostegids (Extended Data Fig. 5).

The dermal bone pattern of the skull roof and cheeks is, with a single exception, characteristic of Devonian tetrapods. There is no postrostral mosaic or internasal fontanelle. The median rostral is paired as in Acanthostega, Ventastega and Elpistostege, but unlike in Ichthyostega and Elginerpeton in which it is single5,18,26,32,38. A tectal bone forms the dorsal margin of the naris, which lies very close to the jaw margin and faces ventrally; the ventral margin of the naris is formed by the maxilla, as there is no lateral rostral. The lacrimal is excluded from the orbit by a long suture between the jugal and prefrontal. The latter is elongate and carries two bony crests, one forming the anterior part of the ‘eyebrow’ and the other an oblique ridge in front of the orbit; both are more strongly developed in large specimens (Figs. 1m, 3a–c). The frontals are elongate with a distinct transverse ‘step’ on the posterior part of the dorsal surface, marking the transition from snout to skull table. Intertemporals are absent. The lateral margins of the supratemporal and tabular form a raised spiracular margin; the tabular horn has distinct dorsal and ventral components. A small part of the dorsal surface of the braincase is exposed posterior to the tabulars. The dermal ornament of the preorbital region includes areas of irregular transverse ripples (Fig. 1h, m, Extended Data Fig. 2), somewhat similar to the ornament of Umzantsia11 but much coarser; elsewhere, the ornament grades into the conventional tetrapod ‘starburst’ ornament. Partly enclosed sensory-line canals are well-developed on the premaxilla, cheek bones and the anterior part of the nasals, but are absent from the skull table (Fig. 1d).

Between the anterior suture for the jugal and the posterior suture for the preopercular, the ventral margin of the squamosal presents two distinct sutural margins that appear to be contacts for two bones (Fig. 1l). The posterior of these margins must be for the quadratojugal; as the jugal lacks a posterior process, we tentatively infer that the anterior segment of the ventral margin of the squamosal contacts the maxilla (Fig. 3a). A squamosal–maxillary contact is characteristic for ‘fish’ members of the tetrapod stem-group (such as Eusthenopteron40) and its presence in Parmastega is unique among tetrapods.

The palatal morphology of Parmastega is intermediate between that of the elpistostegids and that of Devonian tetrapods. In the elpistostegids Panderichthys and Tiktaalik, the pterygoids are separated in the midline by a long denticulated parasphenoid41,42. The vomer has a transverse posterior margin; in Panderichthys, this margin ends mesially in a short posterior process that extends along the lateral margin of the parasphenoid41. This condition is broadly similar to that observed in Eusthenopteron40. By contrast, in Ichthyostega, Acanthostega and Ventastega, the pterygoids meet in the midline (separating the parasphenoid from the vomers) and the most-posterior point of the vomer is its posterolateral corner4,18,23. In Parmastega, the parasphenoid separates the pterygoids but is not denticulated anteriorly, and the vomeral morphology is intermediate between that of Panderichthys and Devonian tetrapods (Figs. 1a, 3d). The pterygoid carries a longitudinal row or narrow band of denticles, and a shorter oblique band that extends anterolaterally. Uniquely, the ectopterygoid extends posteriorly past its contact with the pterygoid to contribute to the lateral margin of the subtemporal fossa (Fig. 3d). This relationship is demonstrated by a sutural fit of three bones from one individual (Fig. 1p).

Two parts of the braincase are preserved: the ethmoid and part of the sphenoid in IG KSC 705/1, and the dorsal part of the otoccipital in IG KSC 705/17 (Fig. 1a, f, g). An ossified ethmoid is shared only with Ichthyostega among known Devonian tetrapods18. The otoccipital has a strongly developed pro-otic buttress, a narrow cranial cavity with small inner ears and a posttemporal fossa that is bounded laterally by a crista parotica that extends onto the tabular horn. In ventral view, the outline of the occipital resembles that of Tiktaalik42, but is proportionately broader in Parmastega. Otoccipitals that are previously known from Devonian tetrapods show one of two radically different morphologies. In Acanthostega and Ventastega, the narrow posttemporal fossa is open laterally and the braincase occupies almost the whole ventral surface of the skull table; by contrast, the narrow braincase in Ichthyostega is flanked by large cavities under the skull table that probably housed spiracular diverticula20,24,25,32. The otoccipital of Parmastega provides a plausible ancestral groundplan for both of these morphologies (Extended Data Fig. 6).

The construction of the lower jaw is typical for tetrapods30, although it is unusually slender and delicate (Figs. 2a–h, 3e). The only ossified parts of the Meckelian element are the articular and the symphysis. The prearticular carries very few denticles but bears a large ventral muscle scar on its middle part. The contact between the prearticular and the mesial lamina of the splenial is not a tight suture, as in other known Devonian tetrapods30, but is instead a loose overlap that must have contained a ligamentous component and allowed a degree of flexibility. Fang pairs—positioned mesial to the tooth row—are present on the adsymphysial plate, dentary, and anterior and middle coronoids. Postsplenial and surangular pit lines are present. The dentary is splint-like and loosely attached.

The pectoral girdle is U-shaped in anterior view, and the dorsal blades of the cleithra are approximately parallel (Figs. 2i–o, 3a, c). The dorsal orientation of the anocleithrum, which we determined from well-preserved contact surfaces, makes the girdle notably tall. The cleithrum and anocleithrum both carry a dermal ornament, a characteristic that is otherwise absent in known tetrapods (except for Umzantsia11). The clavicle is narrow, and the interclavicle has a rounded corpus with a short posterior process (Fig. 2n, o); both of these bones somewhat resemble the corresponding elements in Ichthyostega18, whereas Acanthostega and Ventastega have broader clavicles and lozenge-shaped interclavicles29,32. The scapulocoracoid is ossified in two parts: a dorsal scapular part that is co-ossified with the cleithrum (Fig. 2i) and a posterior coracoid ossification that carries the glenoid (Fig. 2p). As in Ichthyostega, Elginerpeton and Hynerpeton, the subscapular fossa is deep and has a narrow apex; by contrast, in Acanthostega and Ventastega the fossa is shallow and broad3,18,29,32,43. The limbs, pelvis, vertebrae and ribs are not preserved in the material from Sosnogorsk.

Phylogenetic analysis

We evaluated the phylogenetic position of Parmastega with maximum parsimony and Bayesian inference analyses, applied to a data matrix of 26 taxa and 113 characters (Methods). The character list and data matrix are provided in the Supplementary Information.

The resolution of the strict-consensus, unweighted parsimony analysis was poor: all of the Devonian tetrapods (including Parmastega) formed a polytomy together with ‘whatcheeriid-grade’ Carboniferous taxa (Extended Data Fig. 7a). However, in 70% of the trees, Parmastega was the sister group to all other tetrapods. We used a range of approaches (character reweighting by rescaled consistency index and K values, and the calculation of agreement subtrees from consensus trees) to investigate the phylogenetic signal in the dataset (Extended Data Fig. 7b, c, e–h), which revealed consistent patterns. If the position of Parmastega was resolved, it was always placed as the sister group to all other tetrapods; if Ventastega was resolved, it was placed immediately crownward of Parmastega. Ichthyostega was resolved crownward of Acanthostega in the Adams consensus of unweighted trees, but in the reweighted analyses Acanthostega was crownward of Ichthyostega. The Bayesian tree (Extended Data Fig. 7d) also recovered these positions for Parmastega and Ventastega, but did not resolve Ichthyostega and Acanthostega.

Discussion

Parmastega is morphologically intermediate between the elpistostegids Tiktaalik, Elpistostege and Panderichthys on the one hand, and previously known Devonian tetrapods on the other—but primitive and derived characters are not evenly distributed across its anatomy. The lower jaw, pectoral girdle, external dermal bone pattern of the snout region, the absence of gular plates and the relative size of the orbits are all tetrapod-like, whereas elpistostegid-like characteristics persist in the palate and the dermal ornamentation of the cleithrum and anocleithrum. Although no appendage bones are known, the morphology of the pectoral girdle strongly suggests that Parmastega possessed limbs rather than paired fins. The scapulocoracoid, which forms the proximal attachment for many forelimb muscles and undergoes substantial changes in shape from elpistostegids44,45 to tetrapods3,18,29,32,34, is particularly informative in this regard: Parmastega conforms to the tetrapod pattern. The shape and construction of the lower jaw, and the absence of gular plates, suggest that gill ventilation and prey capture worked in the same way as in more-crownward Devonian tetrapods. The reconfiguration of the palate and the loss of dermal ornament on the shoulder girdle evidently lagged behind these transformations.

Until now, one of the most puzzling aspects of the anatomy of Devonian tetrapods has been the specialized ear region of Ichthyostega, which differs markedly from the ear regions in other early tetrapods18,20. The braincase of Parmastega is morphologically intermediate between that of Ichthyostega and those of Acanthostega and Ventastega, providing a plausible hypothetical ancestor for both patterns (Extended Data Fig. 6a). However, these transformations cannot be mapped parsimoniously onto the phylogeny, indicating the presence of non-trivial homoplasy either in the braincases or in other parts of the skeleton (Extended Data Fig. 6b).

The three-dimensional preservation and apparent absence of post-mortem transport makes the Parmastega fossils palaeobiologically informative. The environment of preservation, which was probably also the living environment of Parmastega, was a coastal lagoon with brackish water and a rich fish fauna including the placoderm Bothriolepis and various sarcopterygians46. The concentration of the tetrapod remains in a small area of the site (Extended Data Fig. 1) suggests that Parmastega may have been a schooling animal. The vertebrate-bearing bed (bed 40, the ‘fish dolomite’) is composed of two consecutive tempestites; possibly a school of Parmastega was killed by the first storm event and their skeletons partly disarticulated by the second. Schooling behaviour is also implied by the mass occurrence of Acanthostega on Stensiö Bjerg (East Greenland)47.

Raised orbits and a lack of lateral line canals on the skull table in Parmastega (Fig. 3a, b) suggests it adopted a surface-skimming position in the water, with emergent eyes, similar to that of extant crocodilians (Extended Data Fig. 8). The increase in orbit size across the transition between fish and tetrapods has previously been linked to a shift from aquatic to aerial vision48; the relative orbit size of Parmastega falls well within the tetrapod range (Extended Data Fig. 5) and its eyes were thus probably adapted for use in air. Although all known Devonian tetrapods have dorsally positioned eyes, Parmastega shows the most extreme condition (Extended Data Fig. 4). The nostrils of Parmastega face ventrally, which suggests that the nose was not used for breathing air (Extended Data Fig. 8). The dorsally placed spiracles may have taken on this function, as has previously been argued for Panderichthys49 and more-crownward Devonian tetrapods20,22. Similar to the condition in Ventastega, Acanthostega31 and Ichthyostega18, the lower jaw does not match the upper jaw in curvature in lateral or in ventral view (Extended Data Fig. 9).

The Parmastega material contains no vertebrae, ribs, pelvic girdles or limb bones. The lack of evidence for post-mortem transport, the partially ossified nature of the scapulocoracoid even in the largest individuals and the preservation of the delicate isolated coracoid ossifications (Fig. 2i–l, p) suggest that this absence is not a taphonomic artefact but that it instead reflects a very lightly ossified, or even cartilaginous, axial and appendicular skeleton. Ventastega may also have had a lightly ossified postcranial skeleton32. Acanthostega and Ichthyostega became fully ossified as adults17,18,19,21,27,29, but Acanthostega appears to have had a long juvenile stage with non-ossified endoskeleton47. Functionally, the poor ossification of Parmastega suggests little or no capacity for terrestrial locomotion. This contrasts strangely with the cranial morphology, which suggests that the eyes were habitually held above the surface of the water—and thus implies some kind of engagement with the terrestrial environment. Even more puzzling is the fact that this poorly ossified postcranial skeleton is apomorphic: elpistostegids are well-ossified, as are the majority of tetrapodomorph fishes39, 40,45.

Parmastega gives us the earliest detailed glimpse of a tetrapod: an aquatic, surface-skimming predator, just over a metre in length, living in a lagoon on a tropical coastal plain. Parmastega is phylogenetically the least-crownward of all of the non-fragmentary tetrapods, but it is not necessarily representative of the primitive conditions for the group. The slightly earlier Elginerpeton—which was also probably aquatic and was even larger than Parmastega (Extended Data Fig. 4)—had well-ossified girdles and limb bones, as well as a distinctive head shape with a narrow snout5,30,43. Moreover, the trackway record shows that tetrapods originated at least 20 million years before Parmastega35,36, and the very existence of the trackways—which implies weight-bearing limbs, even if the prints were made in water—points to these forms having well-ossified postcranial skeletons. Together with the evidence for considerable morphological homoplasy among Devonian tetrapods, this hints at a tangled and still-unknown early history for limbed vertebrates.

Methods

Preparation and illustration of specimens

The specimens were collected from the Sosnovskiy Geological Monument, on the right bank of the river Izhma opposite Sosnogorsk Town (Komi Republic, Russia), during a series of field seasons from 2002 to 2012. The bulk of the material was collected during a large-scale excavation in 2009–2012, during which approximately 50 m2 of the bone-bearing ‘fish dolomite’ bed was dug out and then broken into small blocks using hammers, chisels, an angle grinder, drill and portable jackhammer. Blocks that contained parts of the same bone were glued together. The bones were freed from the limestone matrix using dilute (7–10%) acetic acid, alternating with drying and covering with the consolidants PVB (before 2010) and paraloid B-72 (after 2010). The reconstructions of the skull and lower jaw were assembled by hand on the basis of photographs of individual bones, taken at appropriate angles. The reconstruction of the pectoral girdle was produced by sticking together the right anocleithrum, cleithrum, clavicle and interclavicle of one individual, making a three-dimensional virtual model of the assembly using photogrammetry (Agisoft PhotoScan), and importing this model into 3-matic (Materialise), in which it was duplicated, mirrored and assembled into a complete girdle. The drawings of the girdle in Fig. 3 were traced directly from lateral and anterior projections of the model.

Phylogenetic analysis

The phylogenetic position of Parmastega was evaluated with maximum parsimony and Bayesian-inference analyses applied to a data matrix of 26 taxa and 113 characters (Supplementary Information), on the basis of a recently published matrix50 with the addition of four characters (character numbers 7, 27, 28 and 29). Before all analyses, we explored the occurrence of possible ‘taxonomic equivalents’51 by subjecting the matrix to safe taxonomic reduction using the Claddis package52 in the R environment for statistical computing and graphics (https://cran.r-project.org). No taxon was identified as being suitable for safe deletion.

For all parsimony analyses, we used PAUP* version 4.0a (build 164)53 with the following search settings. The ‘collapse branch’ option was enforced for branches that could possibly attain a minimum length of zero. Tree searches used a heuristic option with a tree bisection–reconnection branch-swapping algorithm, and saving no more than a single tree of length greater than or equal to 1 step in each replicate, and using a maximum of 5,000 random step-wise taxon addition replicates while holding a single tree in memory at each step. Following this initial round of tree searches, an additional branch-swapping round was conducted on all trees saved in the memory—this time with the option of saving multiple trees in effect. This second round of tree searches was repeated ten times. No shorter or additional trees were found at the end of this second round in any of the parsimony analyses. Three analyses were carried out under maximum parsimony, each with the settings specified above.

In the first analysis, all characters were treated as unordered and of equal unit weight. We obtained 23 shortest trees at 278 steps, with an ensemble consistency index of 0.5 (0.4908 excluding 5 parsimony-uninformative characters), an ensemble retention index of 0.6911 and an ensemble rescaled consistency index of 0.3456. A permutation-tail probability test54 using 1,000 replicates showed that the length of the shortest trees differed significantly from random (P ~ 0.001). The strict consensus tree (Extended Data Fig. 7a) was poorly resolved. The Adams consensus tree (Extended Data Fig. 7b) had greater resolution, and placed Parmastega and Elginerpeton as the joint (unresolved) sister groups to all other tetrapods. The agreement subtree (a pruned topology that included only those taxa for which all most-parsimonious trees agreed upon mutual relationships) included 19 out of the 26 original taxa (Extended Data Fig. 7e): Acanthostega, Dendrerpeton, Densignathus, Elginerpeton, Greererpeton, Ossinodus and Tantallognathus were deleted. The node support value was evaluated via bootstrapping55 and jackknifing56 in PAUP*, in each case using 50% character resampling and 50,000 random resampling replicates with the fast step-wise addition. In both cases, very few nodes received support—namely post-Panderichthys taxa, post-elpistostegalian taxa, baphetids and a clade of Eoherpeton plus Proterogyrinus.

In the second analysis, characters were re-weighted by the largest values of their rescaled consistency indexes from the initial analysis. PAUP* yielded a single tree (Extended Data Fig. 7c) that was 112.3561 steps long, with an ensemble consistency index of 0.6804 (0.6655 excluding uninformative characters), an ensemble retention index of 0.8297 and an ensemble rescaled consistency index of 0.5645. This tree was three steps longer than the trees from the unweighted analysis and did not represent a significantly better fit for the data, in terms of tree length, than the unweighted trees (based upon Templeton, Kishino–Hasegawa, and winning-sites tests in PAUP*). The weighted analysis confirmed the status of Parmastega as the most-basal tetrapod.

In the third analysis, we used implied weighting57, experimenting with different integer values for Goloboff’s constant of concavity K. We ran analyses with 1 ≤ K ≤ 10 (for example, ref. 58). For each K value, we saved all trees that were generated at the end of the analysis. The separate tree files obtained from all K-weighted analyses were stored in PAUP* after filtering out duplicated tree topologies. This process resulted in five K-weighted trees, which were summarized with a strict consensus (Extended Data Fig. 7f), an agreement subtree (Extended Data Fig. 7g) and an Adams consensus (Extended Data Fig. 7h). The agreement subtree included 22 taxa: Densignathus, Elginerpeton, Metaxygnathus and Ossinodus were deleted.

For the Bayesian inference analysis, we used MrBayes v. 3.2.6 (ref. 59), with the following settings: variable coding; gamma-distributed rate model; 107 generations and four chains; and discarding the first 25% of sampled trees. The convergence diagnostic was evaluated through inspection of the potential scale reduction factor values60 output by MrBayes. These values approached or were identical to 1, indicating successfully convergent runs (Supplementary Information). Credibility values for nodes in the Bayesian results (Extended Data Fig. 7d) were moderate-to-strong for most nodes.

Reporting summary

Further information on research design is available in the Nature Research Reporting Summary linked to this paper.