TABLE 1. List of all extant and extinct lamniform species examined in this study with their family, maximum total length for extant taxa (mTL; in cm; based on Ebert et al., 2021), neurocranial proportion (NP), trunk proportion (TP), and caudal fin proportion (CP) as well as “adjusted neurocranial proportion” (aNP) and “adjusted caudal fin proportion” (aCP) (see Figure 1C and text). This table also gives a median value for each variable.
Species | Family | mTL | NP | TP | CP | aNP | aCP |
†Palaeocarcharias stromeri | †Palaeocarchariidae* | - | 0.108 | 0.670 | 0.222 | 0.161 | 0.331 |
†Scapanorhynchus lewisii | Mitsukurinidae | - | 0.175 | 0.507 | 0.318 | 0.345 | 0.627 |
Mitsukurina owstoni | Mitsukurinidae | 620 | 0.205 | 0.478 | 0.317 | 0.429 | 0.663 |
†Aquilolamna milarcae | †Aquilolamnidae | - | 0.067 | 0.624 | 0.309 | 0.107 | 0.495 |
†Ptychodus sp. | †Ptychodontidae | - | 0.126 | 0.697 | 0.177 | 0.181 | 0.254 |
Carcharias taurus | Carchariidae | 325 | 0.105 | 0.631 | 0.264 | 0.166 | 0.418 |
Odontaspis ferox | Odontaspididae | 450 | 0.131 | 0.607 | 0.262 | 0.216 | 0.432 |
Odontaspis noronhai | Odontaspididae | 427 | 0.122 | 0.606 | 0.272 | 0.201 | 0.449 |
Pseudocarcharias kamoharai | Pseudocarchariidae | 122 | 0.126 | 0.662 | 0.212 | 0.190 | 0.320 |
Megachasma pelagios | Megachasmidae | 820 | 0.097 | 0.588 | 0.315 | 0.165 | 0.536 |
Cetorhinus maximus | Cetorhinidae | 1097 | 0.092 | 0.714 | 0.194 | 0.129 | 0.272 |
Alopias pelagicus | Alopiidae | 428 | 0.059 | 0.400 | 0.541 | 0.148 | 1.353 |
Alopias superciliosus | Alopiidae | 484 | 0.071 | 0.501 | 0.428 | 0.142 | 0.854 |
Alopias vulpinus | Alopiidae | 575 | 0.056 | 0.416 | 0.525 | 0.135 | 1.262 |
Carcharodon carcharias | Lamnidae | 640 | 0.119 | 0.690 | 0.191 | 0.166 | 0.275 |
Isurus oxyrinchus | Lamnidae | 445 | 0.129 | 0.695 | 0.176 | 0.186 | 0.253 |
Isurus paucus | Lamnidae | 430 | 0.108 | 0.681 | 0.211 | 0.159 | 0.310 |
Lamna ditropis | Lamnidae | 305 | 0.107 | 0.695 | 0.198 | 0.154 | 0.285 |
Lamna nasus | Lamnidae | 365 | 0.111 | 0.668 | 0.221 | 0.166 | 0.331 |
MEDIAN VALUES | 0.108 | 0.631 | 0.262 | 0.166 | 0.418 |
* Ordinal and familial assignments of this species are questionable (see Villalobos-Segura et al., 2023).
TABLE 2. List of all extant and extinct orders as well as an operational category examined in this study and their minimum (Min.) and maximum (Max.) “adjusted neurocranial proportion” (aNP) and “adjusted caudal fin proportion” (aCP) as well as median aNP and aCP (see Figure 1C and text; data based on Appendix 3).
Taxon or examined category | Min. aNP | Max. aNP | Median aNP | Min. aCP | Max. aCP | Median aCP |
†Synechodontiformes | na | na | 0.268b | na | na | 0.720b |
Hexanchiformes | 0.058 | 0.233 | 0.173 | 0.391 | 0.559 | 0.464 |
Echinorhiniformes | na | na | 0.214b | na | na | 0.361b |
Squaliformes | 0.086 | 0.336 | 0.189 | 0.190 | 0.493 | 0.302 |
Pristiophoriformes | 0.401 | 0.657 | 0.533 | 0.265 | 0.339 | 0.299 |
Squatiniformes | 0.122 | 0.131 | 0.126 | 0.163 | 0.176 | 0.170 |
†Protospinax annectansa | na | na | 0.234c | na | na | 0.226c |
Heterodontiformes | 0.180 | 0.211 | 0.188 | 0.262 | 0.333 | 0.295 |
Orectolobiformes | 0.106 | 0.305 | 0.166 | 0.186 | 1.130 | 0.327 |
Lamniformes | 0.107 | 0.429 | 0.166 | 0.253 | 1.353 | 0.418 |
Lamniformes minus mitsukurinids and alopiids | 0.107 | 0.216 | 0.166 | 0.253 | 0.536 | 0.326 |
Carcharhiniformes | 0.107 | 0.396 | 0.189 | 0.203 | 0.615 | 0.354 |
ALL EXAMINED SPECIES COMBINED | 0.058 | 0.657 | 0.183 | 0.163 | 1.353 | 0.333 |
a, Order incertae sedis; b, n=1; c, average of n = 3
TABLE 3. Reported cruising speeds (CS; in km h-1; mean value is given if n>1) of select sharks and whales discussed in the text.
Group | Species (common name) | n | CS | Source |
Sharks | ||||
Cetorhinus maximus (basking shark) | 21* | 3.9 | Sims (2000) | |
Megachasma pelagios (megamouth shark) | 1 | 1.5 | Nelson et al. (1997) | |
Rhincodon typus (whale shark) | 12 | 3.1 | Gleiss et al. (2011) | |
Somniosus microcephalus (Greenland shark) | 6 | 1.3 | Watanabe et al. (2012) | |
Whales | ||||
Balaenoptera borealis (sei whale) | 1 | 8.0 | Gough et al. (2021) | |
Balaenoptera musculus (blue whale) | 17 | 7.9 | Gough et al. (2021) | |
Balaenoptera physalus (fin whale) | 2 | 10.4 | Gough et al. (2021) | |
Eubalaena glacialis (North Atlantic right whale) | 29 | 1.9** | Hain et al. (2013) | |
Megaptera novaeangliae (humpback whale) | 29 | 7.5 | Gough et al. (2021) | |
Physeter macrocephalus (sperm whale) | 137 | 6.4 | Aoki et al. (2007) |
* A total of 21 ‘speed determinations’ from six individuals.
** Data of ‘singles and non-mother calf’ that consisted of a group with the fastest CS in their dataset.
TABLE 4. Raw measurements (BN, CR, and BI: from Shimada et al., 2021b, table 1) and derived measurements (pCR, eTL, and eGL) based on the sectioned vertebra of †Otodus megalodon (IRSNB P 9893, “centrum #4”; Figure 1J), where all data come from Shimada et al. (2021b, table 1) except eTL and eGL that are based on the new interpretation that IRSNB P 9893 measured 16.4 m TL when it died. Abbreviations: BN, band number; CR, centrum radius; BI, band interval from the previous band; pCR, percent centrum radius from the center of the vertebra; eTL, extrapolated total length of entire shark; eGL, estimated GL, estimated growth length gain from the previous year.
BN | CR (mm) |
BI (mm) |
pCR (%) |
eTL (cm) |
eGL (cm) |
0 | 16.8 | - | 21.7 | 356 | - |
1 | 18.7 | 1.9 | 24.1 | 395 | 39 |
2 | 20.5 | 1.8 | 26.4 | 433 | 38 |
3 | 22.4 | 1.9 | 28.9 | 474 | 41 |
4 | 24.2 | 1.8 | 31.2 | 512 | 38 |
5 | 25.8 | 1.7 | 33.3 | 546 | 34 |
6 | 27.6 | 1.8 | 35.6 | 584 | 38 |
7 | 29.2 | 1.6 | 37.7 | 618 | 34 |
8 | 30.7 | 1.5 | 39.6 | 649 | 31 |
9 | 32.0 | 1.3 | 41.3 | 677 | 28 |
10 | 33.3 | 1.3 | 43.0 | 705 | 28 |
11 | 34.6 | 1.3 | 44.6 | 731 | 26 |
12 | 35.7 | 1.1 | 46.0 | 754 | 23 |
13 | 36.8 | 1.1 | 47.4 | 777 | 23 |
14 | 37.9 | 1.1 | 48.9 | 802 | 25 |
15 | 39.1 | 1.2 | 50.4 | 827 | 25 |
16 | 40.0 | 1.0 | 51.7 | 848 | 21 |
17 | 41.2 | 1.2 | 53.2 | 872 | 25 |
18 | 42.6 | 1.4 | 55.0 | 902 | 30 |
19 | 43.9 | 1.3 | 56.7 | 930 | 28 |
20 | 45.2 | 1.3 | 58.3 | 956 | 26 |
21 | 46.5 | 1.3 | 60.0 | 984 | 28 |
22 | 47.8 | 1.2 | 61.7 | 1012 | 28 |
23 | 49.1 | 1.3 | 63.3 | 1038 | 26 |
24 | 50.0 | 1.4 | 65.2 | 1069 | 31 |
25 | 51.9 | 1.4 | 67.0 | 1099 | 30 |
26 | 53.4 | 1.5 | 68.9 | 1130 | 31 |
27 | 54.8 | 1.4 | 70.7 | 1159 | 30 |
28 | 56.1 | 1.3 | 72.4 | 1187 | 28 |
29 | 57.5 | 1.4 | 74.2 | 1217 | 30 |
30 | 58.9 | 1.4 | 76.0 | 1246 | 30 |
31 | 59.9 | 1.0 | 77.3 | 1268 | 21 |
32 | 61.0 | 1.1 | 78.7 | 1291 | 23 |
33 | 62.0 | 1.0 | 80.0 | 1312 | 26 |
34 | 63.1 | 1.0 | 81.4 | 1335 | 30 |
35 | 64.3 | 1.2 | 83.0 | 1361 | 23 |
36 | 65.7 | 1.4 | 84.8 | 1391 | 30 |
37 | 66.8 | 1.0 | 86.2 | 1414 | 23 |
38 | 67.8 | 1.0 | 87.4 | 1433 | 20 |
39 | 69.1 | 1.3 | 89.2 | 1463 | 30 |
40 | 70.4 | 1.3 | 90.8 | 1489 | 26 |
41 | 71.6 | 1.2 | 92.4 | 1515 | 26 |
42 | 72.8 | 1.2 | 94.0 | 1542 | 26 |
43 | 74.0 | 1.2 | 95.5 | 1566 | 25 |
44 | 75.1 | 1.1 | 96.9 | 1589 | 23 |
45 | 76.3 | 1.1 | 98.4 | 1614 | 25 |
46 | 77.5 | 1.2 | 100.0 | 1640 | 26 |