Cranial design and function in a large theropod dinosaur.

Finite element analysis (FEA) is used by industrial designers and biomechanicists to estimate the performance of engineered structures or human skeletal and soft tissues subjected to varying regimes of stress and strain. FEA is rarely applied to problems of biomechanical design in animals, despite its potential to inform structure-function analysis. Non-invasive techniques such as computed tomography scans can be used to generate accurate three-dimensional images of structures, such as skulls, which can form the basis of an accurate finite element model. Here we have applied this technique to the long skull of the large carnivorous theropod dinosaur Allosaurus fragilis. We have generated the most geometrically complete and complex FEA model of the skull of any extinct or extant organism and used this to test its mechanical properties and examine, in a quantitative way, long-held hypotheses concerning overall shape and function. The combination of a weak muscle-driven bite force, a very 'light' and 'open' skull architecture and unusually high cranial strength, suggests a very specific feeding behaviour for this animal. These results demonstrate simply the inherent potential of FEA for testing mechanical behaviour in fossils in ways that, until now, have been impossible.

The importance of time/space in diagnosing the causality of phylogenetic events: towards a "chronobiogeographical" paradigm?

A shift from a traditional biogeographical paradigm in cladistic biogeography to a chronobiogeographical paradigm is proposed. The chronobiogeographical paradigm aims to utilize temporal data in conjunction with spatial data in the detection of discrete historical events, such as vicariance and vicariant speciation, in cladograms. The concepts of primary and secondary congruency are introduced in relation to the distinction between repeated area relationships (primary congruency) and common extrinsic causality (secondary congruency). Simple hypothetical examples demonstrate that area cladograms cannot be safely interpreted purely as representing the sequence of area fragmentation; rather, they reflect recency of biotic interaction. Temporal data are shown to have a direct and potentially profound influence on the results of traditional cladistic biogeographical analyses, indicating the necessity of developing a chronobiogeographical approach. The implementation of the paradigm is considered first from a theoretical viewpoint and then in the context of the type of empirical data usually available. An as yet undevised "time/space algorithm" is deemed necessary for the latter, and guidelines are presented for the development of such an algorithm. Finally, we argue that the most rigorous and philosophically justified approach to the detection of phylogenetic causal events can be found only when temporal and spatial data are considered simultaneously. Consequently, the chronobiogeographical paradigm is seen as a logical elaboration of, not a replacement for, the biogeographical paradigm.

A chain is no stronger than its weakest link: double decay analysis of phylogenetic hypotheses.

In decay analyses the support for a particular split in most-parsimonious trees is its decay index, that is, the extra steps required of the shortest trees that do not include the split. By focusing solely on the support for splits, traditional decay analysis may provide an incomplete and potentially misleading summary of the support for phylogenetic relationships common to the most-parsimonious tree or trees. Here, we introduce double decay analysis, a new approach to assessing support for phylogenetic relationships. Double decay analysis is the determination of the decay indices of all n-taxon statements/partitions common to the most-parsimonious tree. The results of double decay analyses are presented in a partition table, but various approaches to graphical representation of the results, including the use of reduced consensus support trees, are also discussed. Double decay analysis provides a more comprehensive summary and facilitates a better understanding of the strengths and weaknesses of complex phylogenetic hypotheses than does traditional decay analysis. The limitations of traditional decay analyses and the utility of double decay analyses are illustrated with both contrived data and real data for sauropod dinosaurs.