APPENDIX 1.

Species diversity data used in the correlation analyses, with various corrections: addition of the Moroccan machimosaurin, "Steneosaurus" cf. obtusidens (England), Machimosaurus rex, Anthracosuchus balrogus, and unidentified thalattosuchians (Sinemurian and Pliensbachian). In red are the corrected data. Species level. GL: ghost lineages. All appendices included in zipped file for download.

APPENDIX 2.

Genera diversity data used in the correlation analyses, with various corrections: addition of the Moroccan machimosaurin, "Steneosaurus" cf. obtusidens (England), Machimosaurus rex, Anthracosuchus balrogus, and unidentified thalattosuchians (Sinemurian and Pliensbachian). In red are the corrected data. Genera level. GL: ghost lineages. All appendices included in zipped file for download.

APPENDIX 3.

List of the crocodylomorph species considered in various diversity analyses (present work; Martin et al., 2014; Mannion et al., 2015; Tennant et al., 2016). The analyses considered the Hettangian-Rupelian time interval, except Tennant et al. (2016) who used the Jurassic-Cretaceous interval (Hettangian-Maastrichtian). All appendices included in zipped file for download.

APPENDIX 4.

Table of the values used to construct the graphs of the Figure 2 and Figure 3. Number of crocodylomorph species and genera considered in various diversity analyses (present work; Martin et al., 2014; Mannion et al., 2015; Tennant et al., 2016). All the analyses considered the Hettangian-Rupelian time interval, except Tennant et al. (2016) who used the Jurassic-Cretaceous interval (Hettangian-Maastrichtian). All appendices included in zipped file for download.

APPENDIX 5.

Data used to calculate the sea surface temperature polynomial curve. The theoretical values are obtained in OpenOffice 4 with the add-on CorelPolyGUI (Gutman et al., 2012). All appendices included in zipped file for download.

APPENDIX 6.

Data used in correlation analyses: uncorrected diversity, phylogenetically corrected diversity, logarithm, time-corrected (divided by duration of time bin), and generalized-differenced data, sea surface temperature (Martin et al., 2014), sea level (Haq et al., 1987; Miller et al., 2005), sea surface temperature from polynomial curve, sea surface temperature from three-point moving average, sea surface temperature from smoothing spline, sea surface temperature from weighted three-point moving average. All appendices included in zipped file for download.

APPENDIX 7.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014), the sea level from Haq et al. (1987) and Miller et al. (2005) for several time intervals (Hettangian-Rupelian; Pliensbachian-Rupelian; Toarcian-Priabonian). Comparison between the results obtained with the original data (Martin et al., 2014) (in blue) and the original data + the new material and species (in red). All appendices included in zipped file for download.

APPENDIX 8.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014), the sea level from Haq et al. (1987) and Miller et al. (2005) for several time intervals (Hettangian-Rupelian; Pliensbachian-Rupelian; Toarcian-Priabonian). Comparison between the results obtained with the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue) and the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage + new material + taxonomic corrections (in red). All appendices included in zipped file for download.

APPENDIX 9.

Complete result for the calculated correlations between the teleosauroid diversity with the sea surface temperature (Martin et al., 2014), the sea level from Haq et al. (1987) and Miller et al. (2005) for several time intervals (Hettangian-Berriasian; Pliensbachian-Berriasian). Comparison between the results obtained with the original data (Martin et al., 2014) (in blue), the original data (Martin et al., 2014) + the new material and species (in red), the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue), and the original data + unidentified thalattosuchians + ghost lineage + taxonomical corrections + new material and species (in red). All appendices included in zipped file for download.

APPENDIX 10.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014) from polynomial curve. Comparison between the results obtained with the original data (Martin et al., 2014) (in blue) and the original data + the new material and species (in red). All appendices included in zipped file for download.

APPENDIX 11.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014) from polynomial curve. Comparison between the results obtained with the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue) and the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage + new material + taxonomic corrections (in red). All appendices included in zipped file for download.

APPENDIX 12.

Complete result for the calculated correlations between the teleosauroid diversity with the polynomial curve of the sea surface temperature (Martin et al., 2014) for two time intervals: Hettangian-Berriasian and Hettangian-Barremian. Comparison between the results obtained with the original data (Martin et al., 2014) (in blue), the original data (Martin et al., 2014) + new material and species (in red), the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue), and the original data (Martin et al. 2014) + unidentified thalattosuchians + ghost lineage + new material + taxonomic corrections (in red). All appendices included in zipped file for download.

APPENDIX 13.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014) from three-point moving average. Comparison between the results obtained with the original data (Martin et al., 2014) (in blue) and the original data + the new material and species (in red). All appendices included in zipped file for download.

APPENDIX 14.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014) from three-point moving average. Comparison between the results obtained with the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue), and the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage + new material and species + taxonomic corrections (in red). All appendices included in zipped file for download.

APPENDIX 15.

Complete result for the calculated correlations between the teleosauroid diversity with the three-point moving average of the sea surface temperature (Martin et al., 2014) for two time intervals: Hettangian-Berriasian and Hettangian-Barremian. Comparison between the results obtained with the original data (Martin et al., 2014) (in blue), the original data (Martin et al., 2014) + new material and species (in red), the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue) and the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage + new material and species + taxonomic corrections (in red). All appendices included in zipped file for download.

APPENDIX 16.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014) from smoothing spline. Comparison between the results obtained with the original data (Martin et al., 2014) (in blue) and the original data + the new material and species (in red). All appendices included in zipped file for download.

APPENDIX 17.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014) from smoothing spline. Comparison between the results obtained with the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue), and the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage + new material + taxonomic corrections (in red). All appendices included in zipped file for download.

APPENDIX 18.

Complete result for the calculated correlations between the teleosauroid diversity with the smoothing spline of the sea surface temperature (Martin et al., 2014) for two time intervals: Hettangian-Berriasian and Hettangian-Barremian. Comparison between the results obtained with the original data (Martin et al., 2014) (in blue), the original data (Martin et al., 2014) + new material and species (in red), the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue) and the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage + new material and species + taxonomic corrections (in red). All appendices included in zipped file for download.

APPENDIX 19.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014) from weighted three-point moving average. Comparison between the results obtained with the original data (Martin et al., 2014) (in blue) and the original data + the new material and species (in red). All appendices included in zipped file for download.

APPENDIX 20.

Complete result for the calculated correlations between marine crocodylomorph diversity (metriorhynchoids excluded) with the sea surface temperature (Martin et al., 2014) from weighted three-point moving average. Comparison between the results obtained with the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue), and the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage + new material + taxonomic corrections (in red). All appendices included in zipped file for download.

APPENDIX 21.

Complete result for the calculated correlations between the teleosauroid diversity with the weighted three-point moving average of the sea surface temperature (Martin et al., 2014) for two time intervals: Hettangian-Berriasian and Hettangian-Barremian. Comparison between the results obtained with the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage (in blue), and the original data (Martin et al., 2014) + unidentified thalattosuchians + ghost lineage + new material + taxonomic corrections (in red). All appendices included in zipped file for download.