723 tocBiases in the study of relationships between biodiversity dynamics and fluctuation of environmental conditions

Stéphane Jouve, Bastien Mennecart, Julien Douteau, and Nour-Eddine Jalil

Article number: 20.1.18A
Copyright Society for Vertebrate Paleontology, April 2017

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Submission: 18 September 2016. Acceptance: 8 April 2017

ABSTRACT

During the last decades, studies testing the correlations between the dynamics of diversity with various environmental variables strongly increased, but numerous biases affecting these analyses have been recognised. Recent studies considering the evolution of marine crocodylomorphs in comparison with the fluctuations of sea surface temperature and sea level found contradictory results. However, we considered a diversity analysis published two years before our work, and noticed several taxonomical issues (new material and species described since the publication of this paper, unidentified thalattosuchians in time bins where previous analyses considered the absence of any marine crocodylomorphs, and some taxonomical corrections). Here we test the impact of updating the dataset on these results. We also tested the consequences of the time range considered and various methods in reconstructing the sea surface temperature curve.

Each of these corrections and modifications impacts strongly the results, and most of them drive to a different conclusion from the original work. These results point out the crucial importance of taxonomical work in diversity studies to provide reliable results, such as the method used to construct the proxies.

The contradictory results obtained here question the reliability of the correlations proposed until now between crocodylomorph evolution and environmental proxies. Deep taxonomic and phylogenetic review should be conducted prior to studying the diversity evolution of a group. This also strongly questions the use of the Paleobiology Database in diversity analyses when the studied group has not yet been reviewed and that numerous, doubtful, nineteenth century species are considered in this dataset.

Stéphane Jouve. Sorbonne Universités, UPMC Univ Paris 06, CNRS, Muséum National d'Histoire Naturelle, Centre de Recherche sur la paléobiodiversité et les Paléoenvironnements (CR2P), 4 Place Jussieu, Tour 56, 5ème étage, F-75005, Paris, France This email address is being protected from spambots. You need JavaScript enabled to view it.
Bastien Mennecart. Muséum National d'Histoire Naturelle, CR2P, CNRS-MNHN-UPMC, Département Histoire de la Terre, CP38, 57 rue Cuvier, 75005 Paris, France; Naturhistorisches Museum Basel, Augustinergasse 2, 4001 Basel, Switzerland This email address is being protected from spambots. You need JavaScript enabled to view it.
Julien Douteau. Le pontet 03160 Franchesse, France, This email address is being protected from spambots. You need JavaScript enabled to view it.
Nour-Eddine Jalil. Muséum National d'Histoire Naturelle, CR2P, CNRS-MNHN-UPMC, Département Histoire de la Terre, CP38, 57 rue Cuvier, 75005 Paris, France; BioDECOS Laboratory, Faculty of Sciences Semlalia, Universiy Cadi Ayyad, Morocco This email address is being protected from spambots. You need JavaScript enabled to view it.

Keywords: Thalattosuchians; diversity curves; biases; evolution; environmental fluctuations

Final citation: Jouve, Stéphane, Mennecart, Bastien, Douteau, Julien, and Jalil, Nour-Eddine. 2017. Biases in the study of relationships between biodiversity dynamics and fluctuation of environmental conditions. Palaeontologia Electronica 20.1.18A: 1-21
palaeo-electronica.org/content/2017/1821-diversity-analysis-biases

Copyright: © April 2017 Society for Vertebrate Paleontology. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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INTRODUCTION

It has long been recognised that the fossil record is incomplete and that biases are heterogeneously distributed across time, space, and environment. So, during the last two decades, numerous biases have been identified impacting the study of the biodiversity dynamic: quality of the fossil record (e.g., Benton et al., 2013), variation of the collection effort (e.g., Alroy, 2010a, 2010b), lithologic sampling (Rook et al., 2013), variation in the availability of fossiliferous rocks (e.g., Lloyd et al., 2012), and taxonomic level used (Lloyd et al., 2012). Testing the correlations of the diversity dynamic with every conceivable environmental variable becomes increasingly popular. Several recent works have been conducted studying the evolution of various groups such as ichthyosaurs (Fischer et al., 2016), Triassic marine reptiles (Kelley et al., 2014), marine or terrestrial tetrapods (Benson et al., 2013; Benson and Drunckenmiller, 2014), and more widely, on marine animals (Purdy, 2008). Three analyses tentatively evaluated the evolution of the continental and marine crocodylomorphs according to the evolution of various environmental factors, such as sea level and temperature (Martin et al., 2014; Mannion et al., 2015; Tennant et al., 2016). Martin et al. (2014) focused their study on the marine forms and found significant correlation between generic diversity of the marine non-metriorhynchoid crocodylomorphs and sea surface temperature, whereas Mannion et al. (2015) and Tennant et al. (2016) found support for correlation with sea level change.

Martin et al. (2014), Mannion et al. (2015), and Tennant et al. (2016) studied the crocodylomorphs mainly as a whole; but are they so homogeneous? Since the beginning of the Mesozoic, four crocodylomorph groups dominated the marine realm: crocodylians, some pholidosaurids, Thalattosuchia, and Dyrosauridae (Martin et al., 2014). These latter two groups were almost exclusively marine. If dyrosaurids and crocodylians have been extensively studied and reviewed, it is not the case for a large part of the thalattosuchians, the teleosauroids. The three previously cited works used different sources for this group. Whereas Martin et al. (2014) used species most usually considered as valid, Mannion et al. (2015) and Tennant et al. (2016) used data from the Palaeobiology Database. The introduction of unreviewed groups in the analyses has potential influence on the result, particularly when the concerned group represents nearly one-third of the dataset analysed.

The objective of this paper is to test the impact of several modifications in the datasets on the reliability of the correlations between the marine crocodylomorph diversity with several variations of environmental conditions. We used the recent work proposed by Martin et al. (2014) as a background to test the effect of these modifications in the datasets on the results and conclusions provided in this work.

We tested the introduction of newly described material and species on the analyses, a number of permutations relating to taxonomic level and unidentified crocodylomorphs not included in previous analyses as they were not identified more precisely than being thalattosuchians. These inclusions have consequences on the phylogenetically corrected diversity. Only data from papers available at the beginning of 2016 have been used. Several new species have been described since this date, but in this study we are testing the impact of weak modifications in the dataset on the results, more than the results themselves.

The time interval considered varies according to the analyses. Some studies considered only the time interval with marine crocodylomorphs, whereas others include the stage before and after which did not contain these taxa. As the chosen interval does not seem to be rational, we tested various intervals and their consequences on the results.

The diversity curves are compared with sea level reconstructions (proposed by Haq et al., 1987 and Miller et al., 2005) and with the sea surface temperature curve established from the oxygen isotope composition of fish teeth. Unfortunately, the latter shows a particularly inconsistent sampling, and several other methods of reconstruction have also been tested herein.

Martin et al. (2014) found a correlation between the evolution of the marine crocodylomorphs and the sea surface temperature only when excluding a part of the thalattosuchians. The thalattosuchians are known from the Lower Jurassic (Sinemurian) to the beginning of the Cretaceous (Hauterivian) and are traditionally divided into two groups: the near-shore teleosauroids and the fully marine metriorhynchoids (see Young et al., 2010). Martin et al. (2014) suggested that the evolution of the metriorhynchoids differs from that of other crocodylomorphs and concluded that they could have had a unique ecology. Consequently, we also test the relationships of the teleosauroids’ diversity through time with sea surface temperature and sea level. This also allows comparing the results obtained between a wide scale study including all marine crocodylomorphs and only a subset of this group.

MATERIALS AND METHODS

New Material and Species

Since the Martin et al. (2014) paper, new material and species with potential impact on the diversity curves, and particularly on their phylogenetically corrected versions, have been published. New teleosauroid material has been described as a snout of “Steneosaurus” obtusidens from the lower Oxfordian of England, whereas this species was previously unknown in this stratigraphic level (Foffa et al., 2015). Previously known from the Callovian to Middle Tithonian, new specimen of blunt-toothed teleosauroids, Machimosaurini (a new Machimosaurus species from the Hauterivian of Tunisia (Fanti et al., 2016) and new specimen of a blunt-toothed teleosauroid from the early Bathonian of Morocco (Jouve et al., 2016)) widely extends the stratigraphic range of these teleosauroids. All have strong consequences on the stratigraphy of blunt-toothed thalattosuchians and the presence of ghost lineages (Appendix 1, Appendix 2; Jouve et al., 2016). Lastly, a new dyrosaurid genus and species, Anthracosuchus balrogus, from the Palaeocene of Colombia (Hastings et al., 2015), increases the number of taxa for this family during the Palaeocene. We thus tested the impact of the addition of these taxa on the statistical results obtained for the correlation between crocodylomorph diversity, sea surface temperature, and sea level.

Unidentifed Thalattosuchians and Ghost Lineages

No Sinemurian to Pliensbachian crocodylomorphs species are included in the analysis of Martin et al. (2014), but thalattosuchians remains are known in this stratigraphic interval (see Bardet et al., 2014). Even poorly preserved and not identified at the generic or specific level, these remains attest that some marine crocodylomorphs (probably teleosauroids) were present during this interval. Their exclusion from diversity analyses does not reflect available data. The same is true for the previously assumed absence of teleosauroids in the phylogenetically uncorrected dataset, during the Aalenian and Bajocian. In both of these stages, no thalattosuchian remains are known, however they are clearly present before and after these stages. The presence of at least one species should, therefore, be considered in diversity analyses, even if its phylogenetic relationships are not considered (Appendix 1, Appendix 2). Thus, they are herein introduced as “unidentified thalattosuchians” for the Sinemurian-Pliensbachian forms and as “ghost lineage” for the Aalenian-Bajocian absent forms.

Taxonomic Corrections

s figure1Similarly the taxonomic status of the studied taxa can also have effects on the results of quantitative analyses at specific or generic levels. It is particularly true for the unreviewed teleosauroid thalattosuchians. Most of them are still awaiting deep review for the validity of numerous species. Nevertheless, part of them, the blunt-toothed Machimosaurini, have recently received a little more attention. In particular, recent debates focused on the number of Machimosaurus species. Based on examination of morphospace occupation, pair-wise significance tests and cluster analysis, Pierce et al. (2009) suggested at least two species for Machimosaurus: M. mosae and M. hugii. This interpretation was challenged by Martin and Vincent (2013) and Martin et al. (2015) who recognized only one species, M. hugii. Young et al. (2014) considered four species: M. nowakianus (upper Oxfordian or lower Kimmeridgian), M. burgensis (=M. buffetauti; lower Kimmeridgian; Martin et al., 2015), M. mosae (upper Kimmeridgian-lower Tithonian), and M. hugii (upper Kimmeridgian-lower Tithonian). Like Foffa et al. (2015) and Fanti et al. (2016), we consider that the weakness of some diagnostic characters pointed out by Martin et al. (2015) do not affect the validity of the species described by Young et al. (2014). The reassessment of the content of Machimosaurus is largely beyond the scope of the present paper, for the above-mentioned reasons, we support the revision of Young et al. (2014) and consider four valid species, plus the recently described Machimosaurus rex (Fanti et al., 2016). The impact of these taxonomic modifications was tested in the original analyses (Appendix 1, Appendix 2). These taxonomic modifications also have strong consequences for the phylogenetically corrected diversity (Figure 1).

Generic or Specific Level

Martin et al. (2014) considered that the use of genera in the dataset allows for the smoothing out of diversity counts across different lineages and reducing taxonomic biases. However, this should be discussed since a species is a natural entity, whereas supraspecific clades, including genera, are arbitrary sets. As such, the genus entity is arbitrary; it is not equivalent across different lineages, but brings another kind of bias, the choice of taxonomists to group more or less large sets of species under the same supraspecific name. Lloyd et al. (2012) demonstrated with one of the best available fossil records (microfossils) that higher taxa cannot be taken as unbiased proxies for species diversity. For our concerned dataset, if most of the marine crocodylomorph taxonomy has been extensively reviewed, such as those of dyrosaurids (Jouve, 2004; Jouve et al., 2005, 2008b; Hastings et al., 2015) and crocodylians (e.g., Brochu, 1999, 2013; Jouve, 2016; Jouve et al., 2008a, 2014), the teleosauroids are far from being seriously reviewed. Only an unpublished thesis proposed a review of the thalattosuchians (Vignaud, 1995), but did not adopt a cladistic analysis of their phylogenetic studies.

s figure2Thus, the number of valid species included in the analyses strongly varies depending on the study. While Martin et al. (2014) considered 11 Steneosaurus species, representing nearly 21% of the number of marine species considered in the analysis (excluding metriorhynchoids), Tennant et al. (2016) and Mannion et al. (2015) included more than 20 species for this genus (Figure 2.1). In the present analyses and those of Martin et al. (2014), the Steneosaurus species represent 10 to 13% of the marine crocodylomorph diversity, and 16 to 21% when the metriorhynchoids are excluded (Figure 2.2). They form 18% of the marine crocodylomorph diversity in Mannion et al. (2015), 27% when the metriorhynchoids are excluded, 24% in Tennant et al. (2016), and 45% without the metriorhynchoids (Figure 2.2). The consequence of the absence of phylogenetic analysis of the teleosauroids is that most of the teleosauroid species have been included in Steneosaurus, underestimating the teleosauroid diversity and the number of existing genera. This could have a strong impact on the analyses, as teleosauroid species represent nearly one-third of the species included in our dataset when the metriorhynchoids are excluded (Figure 2.2). Using the taxonomy provided by Martin et al. (2014), 73% of the teleosauroid species are part of the genus Steneosaurus (Appendix 1, Appendix 3, Appendix 4). However, the taxonomy of the metriorhynchoid thalattosuchians has been recently reviewed (Young et al., 2010) and the most diverse metriorhynchoid genus (Cricosaurus) represents only 22% of the known species. It could be proposed that the teleosauroids were in reality much more generically diverse than suggested and composed of more than just four genera. Recent phylogenetic analyses included several Steneosaurus species. Five to six species were included, and the result suggests that only two form a monophyletic clade (Young et al., 2012), and two are distributed in two different clades in Wilberg (2015a, 2015b).

s figure3The species number is also problematic. Tennant et al. (2016) and Mannion et al. (2015) included 32 and 37 teleosauroids respectively, representing 60 to 85% more than the number of species recognized in the only teleosauroid review (Vignaud, 1995; Figure 2; Appendix 3) and more than twice the number of species included in the Martin et al. (2014) analyses (15 species) (Figure 2.1; Appendix 4). As Tennant et al. (2016) included only Jurassic-Cretaceous forms, the proportion of the teleosauroids is particularly huge (37% and even 68% when the metriorhynchoids are excluded). At the genus level, the differences between the four studies are lesser (Figure 3.1), the teleosauroids constitute 11 to 18% of the marine crocodylomorph diversity, and a larger percentage when metriorhynchoids are excluded (16 to 35%) (Figure 3.2).

The sources of the dataset are thus problematic. Tennant et al. (2016) and Mannion et al. (2015) gathered their data from the Paleobiology Database, a useful database, but not necessarily up-to-date taxonomically. Several species of dyrosaurids such as Dyrosaurus choumovitchi, D. berneti, and D. variabilis are considered valid and were used in diversity analyses by Mannion et al. (2015), while they were synonymised by Jouve (2005) (see Appendix 3). Numerous taxonomic assignments are also particularly doubtful, such as a large number of taxa erected in the nineteenth century on the basis of poorly defined remains. This is the case for a large number of Teleosaurus species considered in this database (7), when Vignaud (1995) recognised only two or even three different species. The same is true for the 22 Steneosaurus species recognised in Mannion et al. (2015) and 21 species in Tennant et al. (2016), when Vignaud (1995) only considered 15 valid species (Figure 2; Appendix 3). Several of these species have been rejected in recent publications such as S. gerthi (Gasparini and Fernandez, 2005) and S. dasycephalus (Woods, 2010). Other nineteenth-century species considered in diversity analyses are also based on isolated teeth such as Thoracosaurus bahiensis Marsh, 1869, and Haematosaurus lanceolatus Sauvage, 1874. This strongly questions the reliability of the results.

Studies based on genus level avoid the problem of the large number of Steneosaurus species and of the doubtful species, but underestimate the number of the teleosauroid genera. The results obtained with the analyses of generic and specific diversity, must be compared, particularly for the teleosauroid diversity analysis.

Phylogenetic Corrections

The analyses of raw data were performed and, following Martin et al. (2014), we also conducted correlation analyses of phylogenetically corrected data. The phylogenetic relationships are thus superimposed on the stratigraphy and ghost lineages of genera and species are filled (Appendix 1, Appendix 2) following the method proposed by Cavin and Forey (2007). Most of the marine crocodylomorphs have been reviewed, and several papers are available to drive phylogenetic corrections on the diversity datasets. Dyrosaurids are phylogenetically corrected following Hastings et al. (2015). Martin et al. (2014) did not correct the eusuchian diversity because of the controversial phylogenetic relationships between gavialoids and tomistomines. We did not correct the eusuchian diversity either. Indeed, if dyrosaurids and most of the thalattosuchians are recognised as almost strictly marine forms, it is not strictly the case for the eusuchians. Most eusuchians were/are fresh water animals. So, it cannot be ensured that the species represented by the ghost lineages were marine forms, and no phylogenetic corrections have been conducted for the eusuchian diversity.

Thalattosuchian diversity has also been phylogenetically corrected. As the teleosauroids are still awaiting a deep revision, no complete phylogeny exists for them and only some analyses include a subset of the teleosauroid (Young et al., 2012; Wilberg, 2015a, 2015b). Mueller-Töwe (2005, 2006) proposed the first phylogenetic analysis of the teleosauroids. However, Jouve (2009) pointed out that, the outgroups used in this analysis were inadequate and could impact on the ingroup relationships, the result should then be considered with caution. Only three recent phylogenetic analyses introduce more than six teleosauroid species (Young et al., 2012; Wilberg, 2012, 2015a, 2015b; Fanti et al., 2016), but they do not consider the same species. Wilberg (2012, 2015a) does not include Machimosaurus nor close species, such as “Steneosaurus” obtusidens, yet later he includes Machimosaurus hugii, but not “Steneosaurus” obtusidens (Wilberg, 2015b). Fanti et al. (2016), based on Young et al. (2012), is the first to include four Machimosaurus species and “Steneosaurus” obtusidens in a phylogenetic analysis. Their result is used as framework for our diversity analysis and phylogenetic corrections are compared to the original data (Martin et al., 2014). Following the same analyses, two taxa are also differently considered herein: “Steneosaurus” edwardsi and “Steneosaurus” obtusidens. The results suggest that these species are more closely related to the blunt-toothed teleosauroids than to the other Steneosaurus. We thus tested “Steneosaurus” edwardsi and “Steneosaurus” obtusidens as different genera in the taxonomical corrections (Appendix 1, Appendix 2). Pelagosaurus typus is attributed to the metriorhynchoid in all previously cited phylogenetic analyses and excluded from teleosauroids. Consequently, as we conducted analyses on the crocodylomorphs diversity excluding metriorhynchoids, this species is not part of our analyses.

Several datasets have been tested for species and genera in relation with various corrections (raw data, new material and species, unidentified taxa and ghost lineages, and including all these corrections). Each of these eight datasets has been phylogenetically corrected and tested (Appendix 1Appendix 2).

Time Intervals

Martin et al. (2014) considered the analyses from Lower Jurassic (Hettangian) to Lower Oligocene (Rupelian). However, since there is no marine crocodylomorph in the time interval from the Hettangian to the Pliensbachian in their dataset, we have tested the correlations for two different time intervals: Pliensbachian-Rupelian and Toarcian-Priabonian. The latter (Toarcian-Priabonian) brackets a time interval that contains marine crocodylomorphs, whereas the first (Pliensbachian-Rupelian) includes a stage before (Pliensbachian) and a stage after (Rupelian) that do not contain marine crocodylomorph. We follow the same strategy for the study of the teleosauroid diversity, using Hettangian-Berriasian and Pliensbachian-Berriasian intervals. Thus, we tested the effect of the time interval used on the results.

Sea Surface Temperature

The sea surface temperature is established from δ18O values of fish teeth from the Western Tethys (Martin et al., 2014) and differs from the δ18O palaeotemperature proxies from the compendium provided by Prokoph et al. (2008) from marine carbonates. Mannion et al. (2015) suggested one possible problem with δ18O values of fish teeth (possible specific differences in isotopic fractionation between phosphate and water), but Leuzinger et al. (2015) demonstrated constant and coherent values between chondrichthyan fauna, with an unusual values for a unique species probably due to a freshwater-influenced isotopic composition. So, no evidence seems to justify this doubt on the methodology used on fish teeth. While the direct use of δ18O from marine carbonates provide a proxy for general temperature and climatic evolution, the sea surface temperature (SST) is a proxy of the evolution of Tethyan sea temperatures (all values originated from Tethyan fishes), and could provide different information from δ18O.

s figure4Most of the problems with these data is bias due to inconsistent sampling across the time span that could impact the means (Kelley et al., 2014), particularly the Palaeocene-Eocene time interval (Figure 4). Only one value is available for the Lutetian-Priabonian interval (nearly 14 My) and 11 are available for the Palaeocene-Eocene (32 My), while the temperature intervals are particularly wide for the periods with numerous data (span of 16°C for the Bathonian). The use of means could, therefore, be inconsistent and problematic. To avoid this problem and limit its impact on the curve used in the analyses, a polynomial curve has been constructed in OpenOffice 4 with the add-on CorelPolyGUI (Gutman et al., 2012) and theoretical values from this polynomial curve are obtained for each interval mid-point with the same add-on (Appendix 5). We also constructed a curve with smoothing spline using Past 3.10 (Hammer et al., 2001), with the optimised smoothing (9.625), and two curves with three-point moving average and with weighted three-point moving average approaches (Appendix 6). In the weighted and non-weighted three-point moving average each value is the mean of the original mean and its two neighbours. The weight is of 0.5 for the neighbours in the weighted three-point moving average.

Statistical Analyses

We calculated the correlation between the sea surface temperature (Martin et al., 2014), the sea level from Haq et al. (1987) and Miller et al. (2005), and the marine crocodylomorph diversity excluding metriorhynchoids (Appendix 7). The first diversity count used is that from Martin et al. (2014) only excluding Pelagosaurus typus compared with the same dataset including new material and species (new Moroccan blunt-toothed teleosauroid [Jouve et al., 2016]; Oxfordian “Steneosaurus” cf obtusidens [Foffa et al., 2015], Machimosaurus rex; Anthracosuchus balrogus [Hastings et al., 2015]). Both datasets have been tested for three time intervals: Hettangian-Rupelian, Pliensbachian-Rupelian, and Toarcian-Priabonian. “Unidentified teleosauroids” and “ghost lineage” have also been added to this dataset and compared with the correlations obtained when new material and species and taxonomic corrections are included (number of Machimosaurus species; “Steneosaurus” edwardsi as a different genus) (Appendix 8). The same comparisons have been conducted for the study of the correlation of the teleosauroid diversity, to environmental factors (sea level and temperature), but the time intervals studied are different and shorter: Hettangian-Berriasian, Pliensbachian-Berriasian, Hettangian-Barremian, and Pliensbachian-Barremian (Appendix 9). For each dataset the results have been studied for the phylogenetically corrected data, log-transformed, time-corrected (divided by duration of time bin), and generalized-differenced data (Appendix 6), similarly to Martin et al. (2014). Finally, all data have been tested with the sea surface temperature calculated with the polynomial curve (Appendix 10, Appendix 11, Appendix 12), the three-point moving average (Appendix 13Appendix 14Appendix 15), smoothing spline (Appendix 16Appendix 17Appendix 18), and weighted three-point moving average (Appendix 19Appendix 20Appendix 21).

Spearman's rho values and 1184 Spearman rank correlations have been calculated (Appendix 7, Appendix 8, Appendix 9, Appendix 10, Appendix 11, Appendix 12, Appendix 13, Appendix 14, Appendix 15, Appendix 16, Appendix 17, Appendix 18, Appendix 19, Appendix 20, Appendix 21) using Past 3.10 (Hammer et al., 2001). Generalized differencing of time series were calculated with R 3.2.1 (R Core Team 2015) and a script provided by Graeme Lloyd (2008).

RESULTS AND DISCUSSION

Marine Crocodylomorph Diversity Dynamics

Similarly to Martin et al. (2014), a correlation is found between the evolution of the crocodylomorph diversity and sea surface temperature when Pelagosaurus is considered as a metriorhynchoid and excluded from the diversity analyses (Spearman’s r =0.36019; p =0.045243; Appendix 7). On the contrary, no correlation is found when some new material and species published after the Martin et al. (2014) paper are included in the analysis (Spearman’s r =0.27493; p =0.13442; Appendix 7). The new specimens and species change the raw diversity count in adding four new occurrences. This seems to impact the correlation analyses provided by Martin et al. (2014) between sea surface temperature and marine crocodylomorphs (excluding metriorhynchoids) with raw data. When we tested some of the data treatments provided by Martin et al. (2014) (phylogenetically corrected data, logarithm, time-corrected, and generalized-differenced data), with only one modification (exclusion of the Pelagosaurus), we found 10 statistically significant correlations with the sea surface temperature (seven in Martin et al., 2014), but only three when the new material and species were introduced (Table 1; Appendix 7). In both cases, whether with or without the new material, six significant correlations are found with the sea level provided by Miller et al. (2005) (five in Martin et al., 2014; Table 1; Appendix 7). With these results, we cannot confirm that marine crocodylomorph evolution is more related to the sea surface temperature than to the sea level. On the contrary, the number of significant correlations with the Miller et al. (2005) sea level data is twice the number of correlations with the sea surface temperature. Introducing four new occurrences (the Moroccan Machimosaurin, “S.” cf. obtusidens, Machimosaurus rex, Anthracosuchus balrogus) strongly changes the diversity counts and the phylogenetic corrections of the diversity (Figure 1), particularly for the thalattosuchians, and strongly impacts the results of the analyses (Table 1).

Testing the Pliensbachian-Rupelian time interval, the difference in correlations is particularly marked when the new material and species are introduced. For this time interval and for the Toarcian-Priabonian, the number of correlations is higher with the sea level data provided by Miller et al. (2005) than with the sea surface temperature (Table 1; Appendix 7). The results strongly vary according to the time bins considered, as well as with the insertion of only four new crocodylomorph occurrences.

Poorly preserved fossils of teleosauroids are known in the Sinemurian and Pliensbachian stratigraphic levels and were not included in the analysis by Martin et al. (2014). When these Lower Jurassic unidentified thalattosuchians and ghost lineage are included in the analyses, eight correlations are found with the sea surface temperature and two with the sea level data from Miller et al. (2005) (Table 1; Appendix 8). When new material and species, ghost lineages, and new taxonomical corrections are introduced in the dataset, only one correlation is found with the sea level of Miller et al. (2005) and none with the sea surface temperature (Table 1). The differences in the latter result is particularly of interest, as we have previously found three correlations with the sea surface temperature and six with sea level when only the new material and species were included. As the phylogenetic analyses can vary according to authors, it could be interesting to use and analyse the diversity raw data (uncorrected diversity), but the “unidentified thalattosuchians” and ghost lineage must be included when the presence of these taxa is certified, even if this presence is attested by poor material and not more precisely identified than the family level. When they are not, the diversity analysed is not the diversity observed. This also underlines the importance of a clear taxonomy and its impact on diversity estimation and analyses.

No correlation is found between the original data and polynomial (Appendix 10), three point moving average (Appendix 13), and smoothing spline curves (Appendix 16) for the sea surface temperature (Table 2). Two correlations were found with the weighted three-points moving average curve (Table 2; Appendix 19). This strongly contrasts with the 10 correlations found with the curve obtained with the sea surface temperature means (Table 1, Table 2). Only one significant correlation has been found with the curve obtained by three-point moving average when unidentified thalattosuchians and ghost lineage were introduced (Appendix 14), and two with the weighted three-point moving average (Table 2; Appendix 20). One correlation only was found (with smoothing spline curve) when unidentified thalattosuchians and ghost lineages were included (Table 2; Appendix 17). No correlation was found with any of the reconstruction methods used when all corrections were added (Table 2). These results strongly question the reliability of the sea surface temperature proxy (means) usually used for comparison with diversity curves. The means for this proxy are particularly biased, and they are not the best way to obtain the best proxy for the sea surface temperature dynamic thought geological times.

Teleosauroid Diversity Dynamics

The number of significant correlations varies according to the modifications in the dataset when the teleosauroid diversity is compared with the sea surface temperature and the sea level. With the original data (P. typus excluded), two correlations were found with the sea surface temperature, whereas none were found with the sea level, both when unidentified thalattosuchians and ghost lineage are included (Table 3; Appendix 9). Similar results are found when the new material and species are included, but no correlations are found with the sea level or the sea surface temperature when all the corrections are included: unidentified thalattosuchians, ghost lineages, taxonomical corrections, and new material and species (Table 3; Appendix 9).

The use of shorter time intervals consistently changes the results, particularly when the new species and material are introduced alone. However, no correlations are found when all corrections are introduced (Table 3; Appendix 9). The same is true for the differences between the results obtained with the genera and species.

A bias must be noted, pertaining to the absence of data for the sea level from the Hettangian-Aalenian in Miller et al. (2005), which represents one-third of the values used for the Hettangian-Barremian time interval. Consequently, the result obtained for the sea level cannot be considered with any confidence and correlation with this parameter cannot be excluded, nor really be tested.

We finally tested the correlation of the teleosauroid diversity with the evolution of the sea surface temperature obtained from the polynomial curve (Appendix 12), smoothing spline (Appendix 18), the three-point moving average (Appendix 15), and weighted three-point moving average (Figure 4; Appendix 21). One significant correlation has been found with the curve obtained with the polynomial curve when the unidentified thalattosuchians and ghost lineage were introduced and two with the weighted three-point moving average with the original data, when the new material and species are added and when unidentified thalattosuchians and ghost lineage were introduced. No correlations were found when all corrections were included (Table 3).

These results, as those discussed above, highlight the impact of the taxonomical modifications in the dataset on the correlation analyses. They also underline the differences in the results obtained with a dataset and its subset. When the marine crocodylomorphs are strongly correlated with sea surface temperatures with the original data (10 correlations), the subset, the teleosauroids, are poorly correlated (two correlations; Table 3). The same is true for the corrected data, when the marine crocodylomorphs are correlated with sea surface temperature or sea level, the correlations of teleosauroids with these proxies are weak.

CONCLUSIONS

Several new crocodylomorph species are described each year. For this reason we tested the impact of the introduction of some new species on a dataset that is only two years old. These insertions in the diversity analyses consistently change the results of the correlation analyses. Moreover, we demonstrate the existence of genus and species of the studied group in time intervals for which previous analyses considered the absence of any taxon. Does the use of raw data make any sense, as the use of unidentified taxa or ghost lineages observed without the use of any phylogenetic correction (using only taxonomy) demonstrated that this data is biased? The inclusion of these specimens in the analyses consistently changes the results herein and should be considered in future works.

The taxonomic and phylogenetic background is also of particular importance when studying the environmental causes for the evolution of a group. If taxonomical debates can sometimes seem pointless, the disagreement on the number of Machimosaurus species changes the teleosauroid diversity for the Late Jurassic from one to four species. In the same way, as the teleosauroids have never been reviewed, the number of valid Steneosaurus species considered in the analyses considerably varies from nine to 22, and the number of the whole teleosauroids from 15 to 37 (Figure 2.1), questioning the reliability of the results.

Little attention has been paid on the possible biases related to the time interval used in diversity analyses. Should the time interval used consider the stages during which the studied group is present, or also add a stage before and after the time interval with occurrences? This point should be more deeply investigated, but it is shown here that this parameter also strongly impacts the results and conclusions.

Quality of the data used to reconstruct the proxy curves should also be considered with attention. The data used to reconstruct the sea surface temperature are particularly inconsistent due to sampling biases. We explored herein several reconstruction methods and demonstrated that the results completely differ from those obtained with the method (means) used in previous publications. So, we consider that the sea surface temperature data cannot be used with enough confidence until the publication of more values, particularly for several geological stages with rare data. Alternatively, future correlation analyses should compare the results obtained with various reconstruction methods to evaluate their reliability.

We also compared the results obtained with the complete dataset and a subset. Why do the results of the subset strongly differ from those obtained with whole datasets? Does this result demonstrate a difference of the subset tested to the environmental fluctuations tested or the influence of the biases observed and described herein in this subset? These strong differences in the conclusions question the reliability of results in their entirety.

To conclude, the result proposed in Martin et al. (2014) should no longer be considered as reliable. The studies provided by Mannion et al. (2015) and Tennant et al. (2016) probably suffer from the same biases, such as the unreviewed taxonomy, that it is increased by the use of unreviewed data from the Paleobiology Database. Nevertheless, it is possible that the more complex statistical method used in both papers corrects some biases discussed here. The same empirical tests than those conducted in the present paper should be conducted on both datasets. The results provided herein should also be considered for the analyses of other clades. We thus suggest that deep taxonomic and phylogenetic review should be conducted prior to statistical analyses of diversity dynamics, as has been done recently on fish-shaped marine reptiles (e.g., Fischer et al., 2012, 2014, 2016), to maximally reduce potential biases.

ACKNOWLEDGEMENTS

BM and JD thank K. Schaffer, L. Leuzinger, N. Bardet, P. Vincent, and S. Daillie for fruitful discussions. We are grateful to D. Hembree and two anonymous reviewers for their comments. They contributed largely to strongly improve the quality of the present work. We also thank J. Jones and T. Fairbanks Freund for the English grammar review.

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