ABSTRACT. Fossilised traces of swimming amphibians, assigned to Batrachichnus delicatulus and Serpentichnus robledoensis igen. et isp. nov., are described from the Lower Permian of the Robledo Mountains, southern New Mexico. The B. delicatulus specimen is interpreted as a trackway of a small`amphibian' (temnospondyl, nectridean, microsaur or juvenile embolomere) swimming straight ahead. S. robledoensis consists of repeated pes imprints separated by discontinuous, L-shaped imprints (body traces). It is interpreted as a trackway of an`amphibian' swimming in a similar manner to the motion of a side-winding snake. The producer of S. robledoensis is more distinctive than in B. delicatulus, and is suggestive of the lysorophian Brachydectes. This is the ®rst locomotory trace to be assigned to this`amphibian' group.KEY WORDS: Tetrapoda, amphibian, trace fossil, swimming, Lower Permian, New Mexico.T H E Lower Permian Robledo Mountains ichnofauna of southern New Mexico is recognised as the most abundant and diverse assemblage of Palaeozoic terrestrial trace fossils in the world (Hunt et al. 1993). Vertebrate trackways dominate this ichnofauna, and are attributed to small and large temnospondyl amphibians, araeoscelid and diadectid amniotes, and small and large pelycosaurs Schult 1995).Amphibian' (i.e. non-amniote tetrapod) traces are rare in the fossil record. The ®sh trail Undichna Anderson, 1976, has long been confused with those of amphibians, although the absence of footprints associated with these sinusoidal trails indicates that it was produced by a ®sh. Recent work has expanded the ichnogenus Undichna, including new ichnospecies from the Cretaceous of Spain (Gibert et al. 1999) and Permian of the Falkland Islands (Trewin 2000). The material described herein cannot be referred to Undichna because of the presence of footprints.Carboniferous and Permian tetrapod traces attributed to amphibians are known from many localities including the Hermit Shale of Arizona (Gilmore 1926(Gilmore , 1927, the Rotliegendes of Central Europe (e.g. Haubold and Katzung 1978;Fichter 1982 Fichter , 1983, the Provenc Ëal and Lode Áve basins of France (Demathieu et al. 1992), and the Keele and Enville beds of Shropshire and Staffordshire in England (Hardaker 1912; Haubold and Sarjeant 1973). These localities have produced various amphibian trackways (walking traces): Anthichnium, Batrachichnus, Gracilichnium, Hyloidichnus, Limnopus, Nanopus, and Parabaropus. These trackways show a variety of forms: well-de®ned manus and pes imprints with individual digits or deep undertracks with poorly preserved foot imprints; some also show a continuous, straight tail drag. A continuum in the morphological variation within these ichnotaxa is apparent , controlled largely by substrate-type and the locomotory behaviour of the producer (e.g. walking, running, or swimming). Tail drags may be associated with walking or swimming (or transitional) traces. Sarjeant (1976) attributed Oklahomaichnus millsii, from the Pennsylvanian of Oklahoma, to the trace of a l...