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The role of preservation on the quantification of morphology and patterns of disparity within Paleozoic echinoderms

Published online by Cambridge University Press:  28 February 2017

Bradley Deline
Affiliation:
Department of Geosciences, University of West Georgia, Carrollton, GA 30118, USA 〈bdeline@westga.edu〉
James R. Thomka
Affiliation:
Department of Geosciences, University of Akron, Akron, OH 44325, USA 〈jthomka@uakron.edu〉

Abstract

The loss of information resulting from taphonomic degradation could represent a significant bias in the study of morphological diversity. This potential bias is even more concerning given the uneven effect of taphonomy across taxonomic groups, depositional facies, and stratigraphic successions and in response to secular changes through the Phanerozoic. The effect of taphonomic degradation is examined using character-based morphological data sets describing disparity in Paleozoic crinoids and blastozoans. Characters were sequentially excluded from the analyses following progressive taphonomic loss to determine how morphologic metrics, such as the relative distribution of taxa in morphospace and partial disparity, changed with increasing taphonomic alteration. Blastozoans showed very little change in these metrics with decreasing preservational quality, which is a result of characters that create distance in morphospace being recognizable in isolated plates. The opposite result is present in crinoids as the characters that are important in structuring the morphospace require intact modules (i.e., the calyx) to accurately assess. Temporal and stratigraphic trends produced encouraging results in that patterns could be largely recovered even with exaggerated taphonomic biases. However, certain parts of a stratigraphic sequence should be avoided and morphological outliers could potentially play a larger role through time, though both of these biases can be easily identified and avoided. The methods presented in this study provide a way to assess potential taphonomic biases in character-based studies of morphological diversity.

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Articles
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Copyright © 2017, The Paleontological Society 
Figure 0

Table 1 Number of taxa, skeletal types, and number of characters identified as observable in the four taphonomic grades (A–D) of Brett et al. (1997) for the two data sets used in the current study. Data on crinoids from Ausich et al. (2015) and Deline and Ausich (2017); data on blastozoans from Foote (1992).

Figure 1

Figure 1 An example of taphonomic degradation in the Late Ordovician disparid crinoid (skeletal type 2) Ectenocrinus simplex Hall, 1847 from the Kope Formation of the type Cincinnatian. (1) Taphonomic Grade A, an intact specimen with arms and stem showing delicate features such as ramules (x 2.8). (2) Taphonomic Grade B, a disrupted cup with partial arms and limited proximal stem (x 2.6). (3) Taphonomic Grade C, partial crinoid modules including disrupted cups and segments of the arms and column (x 3.6). (4) Taphonomic Grade D, isolated ossicles attributed to E. simplex intermixed with other species of crinoid (x 3.1).

Figure 2

Figure 2 The effect of taphonomic degradation on morphological characterization of blastozoan echinoderms. (1) Mantel statistic comparing the distribution of taxa based on the Gower Dissimilarity Coefficient between the taphonomically altered and original blastozoan data sets. (2–4) Partial disparity, in black, of the three echinoderm skeletal types (Types 1–3 of Brett et al., 1997) as they are progressively degraded taphonomically. Disparity is calculated as the squared distance of taxa within morphospace. Partial disparity as defined by Foote (1992) is the disparity excluding the group in question divided by total disparity. To assess the change in metrics associated with generalized loss of information (reduction of included morphological characters), 1,000 randomized samples with added randomized missing characters and character states matching each taphonomic grade were analyzed and the median (gray line) as well as 5th and 95th percentiles (gray dashed lines) are reported. Error bars are calculated on the basis of the standard error of the resampled data. (5–8) Morphospaces showing the change in morphologic distribution with the loss of information from taphonomic alteration. Skeletal Type 1 blastozoans (some eocrinoids) are indicated by a plus; Skeletal Type 2 blastozoans (some eocrinoids, rhombiferans, diploporitans, and paracrinoids) are indicated by an open circle; Skeletal Type 3 blastozoans (coronoids and blastoids) are indicated by a gray diamond.

Figure 3

Figure 3 The effect of taphonomic degradation on morphological characterization of crinoids. (1) Mantel statistic comparing the distribution of taxa based on the Gower dissimilarity coefficient between the taphonomically altered and original crinoid data sets. (2–4) Partial disparity, in black, of the major groups of crinoids included in the data set (camerates, disparids, and cladids, including flexibles) as they are progressively degraded taphonomically. Error bars and the comparison to randomized character loss follow the methods described for Figure 2. (5–8) Morphospaces showing the change in morphologic distribution with the loss of information from taphonomic alteration. Cladids/flexibles are indicated by an open dash; camerates are indicated by an open circle; protocrinids are indicated by a plus; hybocrinids are indicated by a gray asterisk; disparids are indicated by a gray triangle.

Figure 4

Figure 4 The effect of taphonomic alteration on local crinoid disparity through an idealized stratigraphic sequence. (1) Idealized third-order stratigraphic sequence in a mixed carbonate-siliciclastic system. Even though echinoderms can be preserved throughout the section, four representative datums (transgressive systems tract, early highstand systems tract, late highstand systems tract, falling stage systems tract) were used to illustrate potential changes. (2) Changes in the number of crinoid taxa used at each datum. Note the highest diversity in the transgressive systems tract and the lowest diversity in the falling stage systems tract. (3) Changes in the number of observable characters at each of the stratigraphic datums. (4–7) Changes in observable morphological changes throughout the idealized stratigraphic section. For each datum where all 13 crinoid taxa are unlikely to be recovered, the partial disparity and mantel statistic are based on 1,000 random subsamples of the number of altered crinoids. (4) Partial disparity of the taphonomically altered sample compared to the complete data set of 27 crinoids; the partial disparity of the unaltered data set is shown by the vertical gray line. (5) Mantel statistic comparing the 13 taphonomically altered crinoids to their original morphological distribution. (6) The distribution of the altered (black) and unaltered (gray) crinoids in morphospace for the upper highstand systems tract taphofacies. The morphospaces for the lower highstand systems tract and falling stage systems tract are not shown, but are virtually indiscernible from this morphospace. (7) The distribution of the altered (black) and unaltered (gray) crinoids in morphospace for the transgressive systems tract.

Figure 5

Figure 5 The effect of exaggerating taphonomic alteration on Paleozoic blastozoan disparity. (1) Sample size and the taphonomic proxy through time. The dashed line represents the number of blastozoan genera included in the analysis of temporal trends in disparity. The gray line represents frequency of soft tissue–bearing Lagerstätten through the Paleozoic (Schiffbauer and Laflamme, 2012); although this does not correspond directly to large-scale trends in echinoderm taphonomy, it is used as a proxy to examine how secular trends in taphonomy could potentially bias morphologic trends. This proxy is used to assign taphonomic grades (A–D) to the blastozoans within the data set. (2, 3) Morphological disparity and morphospace of the unaltered blastozoan data set of Foote (1992). (4, 5) Morphological disparity and morphospace of the taphonomically exaggerated data set of Foote (1992). In both morphospaces, Devonian blastozoans are shown in black. Disparity is calculated as the average squared distance between taxa in morphospace, and error bars represent the standard error of bootstrap resampled data.