The nature of the sample

Assessment of the sample's characteristics is an essential first step in evaluating and interpreting patterns of variation seen among specimens belonging to a single species.

Any study must report repository information and comment on the curation state of the material considered. Preferably, an official registration/catalogue number should be available for each specimen, and details of these provided as supplementary material to published studies. Ideally, each specimen analyzed is both identified and stored individually, so that it can be recovered easily when next needed. If that is not the case, readers should be informed. In addition, the systematics of the species, including a clear diagnosis, must be included in the study if not already published. The rationale for uniting presumptive juvenile and adult specimens in the same ontogenetic series should also be made explicit. Photographs of specimens should clearly illustrate relevant features and best results are commonly achieved by applying standard paleontological photographic techniques, such as coating with ammonium chloride sublimate or magnesium oxide (e.g., Feldman, Reference Feldman, Feldman, Chapman and Hannibal1989). Arrows indicating the thoracic/pygidial boundary can be helpful, especially for species with a homonomous trunk condition (Hughes, Reference Hughes2003).

Attention should be paid to the geological context of the material analyzed. This involves documentation of the site information and number of specimens collected, and should also include discussion of key geological indicators concerning the sample. For example, analysis of the stratigraphic interval (including section thickness) from which the specimens have been derived is of critical importance for inferring the span of time over which specimens in the sample accumulated. It is necessary to note whether a sample comes from a single bed (sensu Patzkowsky and Holland, Reference Patzkowsky and Holland2012), from a series of similar bedsets, or from units representing different depositional conditions. Blending of data from specimens occurring in different beds need not invalidate an analysis, but blending of data does place important constraints on the interpretation of patterns revealed. Conversely, where information on precise stratigraphic occurrence is available, it offers valuable opportunity to examine how variation is partitioned among collections with modest environmental or temporal differences. Information on lithology bears on the degree of compaction witnessed in the sample and should be noted (e.g., calcareous mudstones are commonly less compacted than claystones). In addition, the cuticular condition of the specimen (testate, internal mold, external mold, etc.) may also bear on measurements obtained.

For certain studies, the frequency of occurrence of exemplars attributed to any given stage or specific morph is relevant for testing alternative hypotheses regarding the ontogeny and/or demographics of a species. In such cases, consideration of whether specimens can be determined to be exuviae or carcasses is of importance because this strongly affects the expected frequency distribution under each hypothesis (Sheldon, Reference Sheldon1988; Hartnoll and Bryant, Reference Hartnoll and Bryant1990). However, making such a determination, even in cases in which the exoskeleton remains articulated, is commonly challenging. Only in exceptional cases can the majority of a sample's specimens be unambiguously assigned to either category.

Coming to the dataset itself, the vagaries of fossil preservation and recovery mean that often not all specimens containing valuable information are complete in all characters of interest. Accordingly, sample size for each kind of measurement acquired should be specified, and will likely vary within the dataset. For example, it is necessary to state that out of N specimens available, the number of thoracic segments could be counted confidently on X and the number of pygidial segments (often harder to determine) on only Y out of N (or X), or that size measurements, such as body length and cephalic width, were available for W specimens, whereas only for Z specimens was it possible to obtain more comprehensive landmark-based morphometric data.

Studies that contain morphometric data should also include estimates of measurement error in specimen size and, where relevant, shape. The extent to which taphonomy affects morphology depends on the preservational quality of the specimens considered (as noted above). As with blending data from different beds, the taphonomic modification of form need not invariably exclude biologically informative studies, but the effects of taphonomic modification should be carefully gauged. For example, the shapes of articulated but compressed complete specimens (e.g., Hong et al., Reference Hong, Hughes and Sheets2014; Holmes et al., Reference Holmes, Paterson and García-Bellido2020a) are more strongly influenced by taphonomic factors than those of exquisitely preserved silicified sclerites (e.g., Webster, Reference Webster2015), and so the biologically meaningful questions that can be asked of such materials are necessarily different. It is key to ensure that a biologically informative question can be assessed realistically given the material available. Estimates of measurement error assist in this process by identifying patterns that stand out from noise, but do not, in themselves, discriminate biological from taphonomically induced patterns. That task requires consideration of whether patterns observed mimic the expectations of taphonomically induced variance.

Description and interpretation

In approaching the study of the ontogeny of fossil species, it is important, as far as possible, to separate the description of fossils from their developmental interpretation.

Intraspecific data may show variation in size and shape, including in discrete characters, such as segment numbers. Inferring the ontogenetic process that produced the observed pattern of variation is an exercise in probabilistic inference because different processes can commonly produce the same pattern. With respect to trilobite development, terms such as morph, degree, segment, and tagma are morphological terms used to describe the phenotypic condition of a specimen. In contrast, terms such as meraspid, holaspid, anamorphic, epimorphic, stage, and instar are developmental terms and, as such, can be employed only after a given ontogenetic interpretation of the data has been made explicit and justified. In early descriptions of trilobite ontogeny, such categorical differences had limited importance because the principal aim was to reveal the broad outline of how trilobites developed. However, as more subtle aspects of ancient developmental control are dissected, categorical differences become more important.

For arthropod fossil species, which grew in a stepwise fashion, ontogenetic reconstruction often starts from seeking patterns in the variation of form that allow us to partition the study sample in a number of distinct morphological categories: any such categories of form are referred to as morphs. Morphs are established on a strictly descriptive basis, which considers the state of a discrete character, or of a combination of several discrete characters (e.g., the number of thoracic and pygidial segments, the latter counted, conventionally, to exclude the terminal piece). Conversely, the inference that one or a subset of those morphs represents one sequential ‘step’ in development, known in arthropods as a stage or instar, is an interpretative undertaking that must not be confused with the prior, descriptive work of morph recognition. If this critical distinction between morphs and stages is overlooked, an ambiguous ontogenetic series reconstruction can result (e.g., Dai et al., Reference Dai, Zhang, Peng and Yao2017, fig. 7, in which all morphs were presented as sequential stages).

The distinction between description and interpretation may be reflected in the terminology adopted. In trilobite ontogeny, degree constitutes a morph that is defined by the number of thoracic segments. Degrees are generally referred to only during the meraspid period of development (e.g., a “degree X meraspid”). Because the meraspid period is a developmental phase, the terms degree and meraspid are categorically distinct, and not necessary coupled. For instance, in Aulacopleura koninckii (Barrande, Reference Barrande1846), specimens with 18 thoracic segments (i.e., degree 18 specimens) include both meraspid individuals that would subsequently attain 19, 20, 21, or 22 thoracic segments, and the holaspids for which 18 was the mature thoracic segment number (Fusco et al., Reference Fusco, Hughes, Webster and Minelli2004)—these could logically be referred to as “degree 18 meraspids” and “degree 18 holaspids,” respectively.

In some arthropods, it may be difficult to consistently and correctly identify the morphological criteria used to group specimens into morphs or degrees. For example, precise counting of thoracic segment numbers can be difficult, especially during the meraspid period. Comparison with isolated (meraspid) pygidia of approximately the same size range may be necessary for recognizing and describing the articulation separating these regions at different stages. Any criteria used to identify articulations, and thus the partition of the trunk into thoracic and pygidial segments, should be described.

A final note about the term “segment.” The description of trilobite segmentation (as either pattern or process) is typically limited to a dorsal view of the exoskeleton: what is actually observed is the subdivision of the dorsal exoskeleton into sclerites, or tergites, including both the articulated tergites of the thorax and their non-articulated serial homologues within the cephalon (where discernible) and in the pygidium. Pragmatically, in most papers as well as herein, the term segment is applied to all these (articulated or not) serially homologous exoskeletal units (Hughes et al., Reference Hughes, Minelli and Fusco2006). However, because in some arthropods there is a mismatch between dorsal and ventral segmental patterns (Fusco and Minelli, Reference Fusco, Minelli, Minelli, Boxshall and Fusco2013), and the developmental processes forming ventral and dorsal serially homologous structures can operate independently (Janssen et al., Reference Janssen, Prpic and Damen2004), the term segment should not be interpreted as referring to either a modular morphological unit of the whole body or to a developmental unit of the main body axis (Fusco, Reference Fusco, Minelli, Bonato and Fusco2008).

Stage assignment

In arthropods, postembryonic growth occurs mainly in a stepwise manner, in pace with the occurrence of ecdysis (Minelli and Fusco, Reference Minelli, Fusco, Minelli, Boxshall and Fusco2013), and it seems natural to describe the ontogeny based on successive stages. However, it should be noted that the assignment of specimens to developmental stages is a kind of inference that is not always feasible, because stages may lack unique size range or morphological markers that distinguish them.

Formally, two main types of ontogenetic morphometric data may be obtained from fossil series of molting animals, cross-sectional and mixed cross-sectional data (Cock, Reference Cock1966). Cross-sectional data are those for which assignment of a given specimen to a certain developmental stage can be done with confidence on the basis of some morphological criterion (e.g., the number of thoracic segments in immature trilobites, when appropriate, or membership in a distinct size class). Mixed cross-sectional data are those for which a criterion of stage assignment is not available, which is often the case in trilobite specimens with the mature number of segments, or when distinct sizes classes are not evident. Both types of data can be used in studies of fossil ontogeny (e.g., Fusco et al., Reference Fusco, Hong and Hughes2016; Hopkins, Reference Hopkins2020), but each requires different processing. When a criterion for stage assignment is available, both relative (allometric) and absolute (stage-based) growth analyses are possible. When this is not the case, only size-related shape changes can be investigated (e.g., Holmes et al., Reference Holmes, Paterson and García-Bellido2020b), with no possibility to separate static (i.e., within-stage) and ontogenetic (i.e., between-stages) allometry (Klingenberg, Reference Klingenberg2016).

The interpretation of stages is a critical step in any ontogenetic analysis of absolute growth, and care should be paid to justifying any particular staging hypotheses. Justification must be based on some kind of evidence. For example, if using segment numbers (either in the thorax, or in the trunk), the resulting per-stage growth rates or intra-stage size variation should exhibit some properties such as (proportional) regularity among stages. Alternatively, a given staging hypothesis can be supported on the basis of specific morphological features (e.g., exoskeletal ornament) that are seemingly added sequentially from stage to stage. Stage assignments also can be made using a criterion of size and/or shape clustering (e.g., with respect to the cranidium), although reliable assignment of individuals to particular stages is often only possible for the earliest stages. Methods for identifying instars based on size data were reviewed by Webster (Reference Webster2015).

Whether based on qualitative, quantitative-discrete, or quantitative-continuous characters, it is always possible (and often the case) that reliable stage assignment is only feasible for a subset of specimens and/or stages. Beyond that subset, investigation must switch from cross-sectional data analysis to analysis of mixed cross-sectional data. As a result, certain analyses commonly apply only to particular portions of the ontogeny.

Choice of the staging criteria should also consider the study's objectives. For example, if the focus of a particular study is to resolve the ontogenetic dynamics of segment release, then stage assignment should be made using a criterion independent of the number of segments (e.g., a size-clustering based on cranidial size), otherwise the possibility of identifying within-stage variation in thoracic segment number is precluded. Conversely, if the focus is to determine per-stage growth rate and its variation, a criterion of stage assignment independent of any assumptions about growth patterns should be adopted. Whatever the case, the effects of potential confounding factors in stage assignment on the results should be discussed.

Illustration of the inferred ontogeny

Because illustrations effectively present and transmit interpretations, particular care should be taken in the preparation of any diagrammatic representation of the inferred ontogeny and the legend that accompanies it.

Following McNamara et al. (Reference McNamara, Yu and Zhou2003) and Minelli et al. (Reference Minelli, Fusco and Hughes2003), segmentation schedule diagrams have become common in studies of trilobite ontogeny. Their purpose is to illustrate the ontogenetic pathway by which a representative individual developed. Where more than a single developmental pathway apparently existed within a taxon, alternative segmentation schedules can be presented (e.g., Hughes et al., Reference Hughes, Minelli and Fusco2006, fig. 5A). Such diagrams may also illustrate competing developmental hypotheses (Hou et al., Reference Hou, Hughes, Lan, Yang and Zhang2015, fig. 7).

Data analysis might produce an ontogenetic hypothesis for a taxon under study that a researcher could decide to represent through some kind of graphical schematization. There can be several reasons for this: to be consistent with the fact that not all the different details of the hypothesis may have the same evidentiary support, to suitably highlight a specific aspect of development, or simply to provide a sketch of the inferred ontogeny. Figure 1 contrasts two different schematizations (Fig. 1.2, 1.3) of the same ontogenetic hypothesis (Fig. 1.1) for the segmentation of an imaginary trilobite species, based on observed or conjectured morphs. Observations of this species suggest that there were multiple alternative developmental pathways, of which the pathways drawn in Figure 1.1 are plausible candidates. The scheme depicted in Figure 1.2 is made by simply arranging the observed morphs firstly by degree and then by the number of pygidial segments. This generates a confusion between morphs (segmental condition) and stages, and conflates the development of individual trilobites with the pattern of variation in the sample as a whole. If read as the ontogeny of an individual trilobite, as is likely, the scheme clearly does not correspond to the ontogenetic hypothesis one aims to depict (Fig. 1.1). On the contrary, the scheme depicted in Figure 1.3, while showing only one (presumably the most common) of the six segmentation pathways that individual trilobites could have followed in this case, is consistent with the hypothesized ontogeny in Figure 1.1. Information about the existence of variation in the pattern of segment addition (and thus in the number of pygidial segments at each stage), and the existence of more than one pattern of segment addition, can be conveyed with the legend or with other illustrations.

In the theoretical example given above (also in Dai et al., Reference Dai, Zhang, Peng and Yao2017, fig. 7), directly equating the morphological pattern observed with the developmental sequence shown in Figure 1.2 entails an unlikely process of intermittent loss of trunk segments between instars. Such a pattern is not observed in extant arthropods, and is most unlikely to have occurred in trilobites. The same potential problem exists with some other published segmentation schedules for polymerid trilobites in which two instars per meraspid degree are shown (e.g., Dai et al., Reference Dai, Zhang and Peng2014, fig. 6; Lei, Reference Lei2016, fig. 10; Du et al., Reference Du, Peng, Wang, Wen and Liu2020, fig. 9). Although multiple instars evidently did occur within the earliest part of the meraspid period in many trilobites, before the release of any freely articulating segments in the thorax (e.g., Zhang and Clarkson, Reference Zhang and Clarkson1993), it should be reiterated that published accounts of multiple meraspid instars in those trilobites with functional thoracic segments are putative developmental scenarios, and remain hypotheses to be tested using independent evidence (also see Hou et al., Reference Hou, Hughes, Lan, Yang and Zhang2015, p. 508–511).

Use of nomenclature

In describing the ontogeny of an extinct species, the developmental nomenclature of the extant group to which the fossil taxon belongs, or is closely related, should be applied as far as possible.

Careful application of the developmental nomenclature of extant organisms provides the best comparative framework available from which to highlight both the similarities and differences between the ontogenies of living and extinct forms (see Hughes et al., Reference Hughes, Minelli and Fusco2006, p. 621, on the misinterpretation of trilobite development in a major text book in invertebrate zoology resulting from trilobite-specific terminology use). To this aim, reference to a standard manual of the group can be of help (e.g., for arthropods, see Minelli et al., Reference Minelli, Boxshall and Fusco2013).

For instance, in arthropods the term “segmentation” is used to describe both a morphological feature (translational body symmetry) and the developmental process that generates it (Fusco and Minelli, Reference Fusco, Minelli, Minelli, Boxshall and Fusco2013; Dai et al., Reference Dai, Zhang, Peng and Yao2017; Du et al., Reference Du, Peng, Wang, Wen and Liu2020). The term “somitogenesis,” which is sometimes used in trilobite literature to indicate the appearance of new segments in the trunk prior to the onset of maturity (McNamara et al., Reference McNamara, Yu and Zhou2006; Lei, Reference Lei2016), is not normally used for the segmentation process in extant arthropods, especially in the case of post-embryonic segmentation (anamorphic development). What is observed during post-embryonic development in anamorphic arthropods is the appearance of new exoskeletal segmental units in the posterior of the trunk, which may not coincide with other aspects of segment generation. This is the reason why in fossils phrases such as “segment appearance” or “segment morphological expression” should be preferred to phrases such as “segment generation” or “segment proliferation.”

Similarly, “tagmosis” is used to indicate a morphological characteristic (a form of body organization) as well as the developmental processes that generate it (Fusco and Minelli, Reference Fusco, Minelli, Minelli, Boxshall and Fusco2013). Although there is little consensus on how tagmata should be defined in modern arthropods, the process of tagmosis (also called tagmatization) in some way describes the ontogenetic subdivision of the main body axis into major morpho-functional units. In trilobites and their close relatives, the peculiar process of their development known as release, which involved the formation of a new functional segment articulation at the posterior end of the anterior-most segment of the pygidium, has been described as tagmosis (e.g., McNamara et al., Reference McNamara, Yu and Zhou2006). Segment release is not observed in extant arthropods, but in many anamorphic taxa segment “appearance” followed by “maturation” at a later stage (e.g., with regard to the formation of the appendages) occurs and this pattern is not generally regarded as a change in tagmosis. As the segmental boundary between thorax and pygidium shifted posteriorly during part of ontogeny (defining the meraspid period), the trilobite thorax and pygidium have been suggested to be parts of one tagma, the trunk (Minelli et al., Reference Minelli, Fusco and Hughes2003).