Reassessment of the possible size, form, weight, cruising speed, and growth parameters of the extinct megatooth shark, Otodus megalodon (Lamniformes: Otodontidae), and new evolutionary insights into its gigantism, life history strategies, ecology, and extinction
Article number: 28.1.a12
https://doi.org/10.26879/1502
Copyright Society of Vertebrate Paleontology, March 2025
Author biographies
Plain-language and multi-lingual abstracts
PDF version
Submission: 19 October 2024. Acceptance: 4 Febuary 2025.
ABSTRACT
Otodus megalodon (Lamniformes: Otodontidae) is an iconic Neogene shark, but the lack of well-preserved skeletons has hampered our understanding of various aspects of its biology. Here, we reassess some of its biological properties using a new approach, based on known vertebral specimens of O. megalodon and 165 species of extinct and extant neoselachian sharks across ten orders. Using the median neurocranial and caudal fin proportions relative to the trunk proportion among non-mitsukurinid/non-alopiid lamniforms, we show that O. megalodon could have had a slender body and possibly reached about 24.3 m in length. Allometric considerations indicate that a stout body plan like the extant white shark (Carcharodon carcharias) for O. megalodon could have incurred excessive hydrodynamic costs, further supporting the interpretation that O. megalodon likely had a slenderer body than C. carcharias. A 24.3-m-long O. megalodon may have weighed around 94 t, with an estimated cruising speed of 2.1–3.5 km h-1. A reanalysis of vertebral growth bands suggests a size at birth of 3.6–3.9 m for O. megalodon, supporting the previous interpretations of its ovoviviparity and embryos’ intrauterine oophagous behavior, but less likely the need for nursery areas. Additional inferred growth patterns corroborated by the known fossil record support the hypothesis that the emergence of C. carcharias during the Early Pliocene is at least partly responsible for the demise of O. megalodon due to competition for resources. These interpretations are working hypotheses expected to serve as reasonable reference points for future studies on the biology of O. megalodon.
Kenshu Shimada. Department of Biological Sciences, DePaul University, Chicago, Illinois, USA, Department of Environmental Science and Studies DePaul University, Chicago, Illinois, USA, and Sternberg Museum of Natural History, Fort Hays State University, Hays, Kansas, USA. Corresponding author. kshimada@depaul.edu
Ryosuke Motani. Department of Earth and Planetary Sciences, University of California Davis, Davis, California, USA. rmotani@ucdavis.edu
Jake J. Wood. Department of Biological Sciences, Florida Atlantic University, Boca Raton, Florida, USA. chondrichthyic@gmail.com
Phillip C. Sternes. Education and Conservation Department, SeaWorld, San Diego, CA, USA, and Shark Measurements, London, UK. philsternes77@gmail.com
Taketeru Tomita. Okinawa Churashima Research Center, Okinawa Churashima Foundation, Motobu-cho, Okinawa, Japan and Okinawa Churaumi Aquarium, Okinawa Churashima Foundation, Motobu-cho, Okinawa, Japan. t-tomita@okichura.jp
Mohamad Bazzi. Department of Earth and Planetary Sciences, Stanford University, Stanford, California, USA. bazzi@stanford.edu
Alberto Collareta. Dipartimento di Scienze della Terra, Università di Pisa, Pisa, PI, Italy. alberto.collareta@unipi.it
Joel H. Gayford. Department of Marine Biology and Aquaculture, James Cook University, Townsville, Australia, and Shark Measurements, London, UK. joelgayford@yahoo.co.uk
Julia Türtscher. Department of Palaeontology, University of Vienna, Vienna, Austria. tuertscher.julia@gmail.com
Patrick L. Jambura. Department of Palaeontology, University of Vienna, Vienna, Austria. patrick.jambura@gmail.com
Jürgen Kriwet. Department of Palaeontology, University of Vienna, Vienna, Austria and Vienna Doctoral School of Ecology and Evolution (VDSEE), University of Vienna, Vienna, Austria. juergen.kriwet@univie.ac.at
Romain Vullo. Université de Rennes, CNRS, Géosciences Rennes, UMR 6118, Rennes, France. romain.vullo@univ-rennes.fr
Douglas J. Long. Department of Ichthyology, California Academy of Sciences, San Francisco, California, USA. dlong@calacademy.org
Adam P. Summers. Friday Harbor Laboratories, Department of Biology and SAFS, University of Washington, Seattle, Washington, USA. fishguy@uw.edu
John G. Maisey. Department of Vertebrate Paleontology, American Natural History Museum, New York, New York, USA. maisey@amnh.org
Charlie Underwood. School of Natural Sciences, Birkbeck College, London, UK. c.underwood@bbk.ac.uk
David J. Ward. Department of Earth Sciences, Natural History Museum, London, UK. david@fossil.ws
Harry M. Maisch IV. Department of Marine and Earth Sciences, Florida Gulf Coast University, Fort Myers, Florida, USA. hmaisch@fgcu.edu
Victor J. Perez. Environmental Studies Department, St. Mary’s College of Maryland, St. Mary’s City, Maryland, USA. vjperez@smcm.edu
Iris Feichtinger. Geological-Palaeontological Department, Natural History Museum, Vienna, Austria. iris.feichtinger@nhm.at
Gavin J.P. Naylor. Florida Museum of Natural History, University of Florida, Gainesville, Florida, USA. gnaylor@flmnh.ufl.edu
Joshua K. Moyer. Department of Ecology and Evolutionary Biology, Yale University, New Haven, Connecticut, USA, and Atlantic Shark Institute, Wakefield, Rhode Island, USA. joshua.k.moyer@gmail.com
Timothy E. Higham. Department of Evolution, Ecology, and Organismal Biology, University of California Riverside, Riverside, California, USA. thigham@ucr.edu
João Paulo C.B. da Silva. Departamento de Sistemática e Ecologia, Centro de Ciências Exatas e da Natureza, Universidade Federal da Paraíba, Castelo Branco, João Pessoa, PB, Brazil. jpzoologia@dse.ufpb.br
Hugo Bornatowski. Center for Marine Studies, Universidade Federal do Paraná, Brazil. anequim.bio@gmail.com
Gerardo González-Barba. Museo de Historia Natural-UABCS, Colonia El Mezquitito, CP, La Paz, Baja California Sur, Mexico. gerardo@uabcs.mx
Michael L. Griffiths. Department of Environmental Science, William Paterson University of New Jersey, Wayne, New Jersey, USA. GRIFFITHSM@wpunj.edu
Martin A. Becker. Department of Environmental Science, William Paterson University of New Jersey, Wayne, New Jersey, USA. BECKERM2@wpunj.edu
Mikael Siversson. Department of Earth and Planetary Sciences, Western Australian Museum, Welshpool, WA, Australia, and School of Molecular and Life Sciences, Curtin University, Bentley, WA, Australia. mikael.siversson@museum.wa.gov.au
Keywords: body length; body mass, body reconstruction, Neogene, ontogeny
Final citation: Shimada, Kenshu, Motani, Ryosuke, Wood, Jake J., Sternes, Phillip C., Tomita, Taketeru, Bazzi, Mohamad, Collareta, Alberto, Gayford, Joel H., Türtscher, Julia, Jambura, Patrick L., Kriwet, Jürgen, Vullo, Romain, Long, Douglas J., Summers, Adam P., Maisey, John G., Underwood, Charlie, Ward, David J., Maisch, Harry M. IV, Perez, Victor J., Feichtinger, Iris, Naylor, Gavin J.P., Moyer, Joshua K., Higham, Timothy E., da Silva, João Paulo C.B., Bornatowski, Hugo, González-Barba, Gerardo, Griffiths, Michael L., Becker, Martin A., and Siversson, Mikael. 2025. Reassessment of the possible size, form, weight, cruising speed, and growth parameters of the extinct megatooth shark, Otodus megalodon (Lamniformes: Otodontidae), and new evolutionary insights into its gigantism, life history strategies, ecology, and extinction. Palaeontologia Electronica, 28(1):a12.
https://doi.org/10.26879/1502
palaeo-electronica.org/content/2025/5450-biology-of-otodus-megalodon
Copyright: March 2025 Society of 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
Body size impacts various aspects of the life and mortality risks of every animal, including the outcome of ecological interactions with other organisms (e.g., predation vulnerability and foraging success), dispersal capabilities and speed, energy reserve storage capacity, body heat retention capacity, and tolerance of environmental change (e.g., Bergmann, 1847; Peters, 1986; Kram and Taylor, 1990; Cohen et al., 1993; Hone and Benton, 2005; Speakman, 2005; Brown and Sibly, 2006; Healy et al., 2013). Assessments of the body size of large extinct carnivores typically include elucidation of their life history traits such as growth parameters and patterns, and the ecological niches they may have filled (Cailliet and Goldman, 2004; Goldman et al., 2012; Shimada et al., 2021b). Yet, deciphering these key biological properties, sometimes as simple as body size itself, can be difficult, particularly for species that are known from incomplete fossil specimens (e.g., Gayford et al., 2024b, and references therein). The iconic prehistoric shark †Otodus megalodon (Lamniformes: †Otodontidae) is an excellent example of such a taxon, the biological properties of which have long been the subject of debate in the scientific literature (Figure 1A; dagger [†] symbol indicates extinct).
†Otodus megalodon is represented primarily by its gigantic teeth measuring up to at least 16 cm and possibly as much as about 20 cm in height from Neogene (specifically mid-Miocene–Early Pliocene) marine deposits nearly worldwide (Cappetta, 2012; Pimiento et al., 2016; Shimada, 2019; Pollerspöck et al., 2023). Some vertebrae, placoid scales, and fragments of tessellated cartilage of †O. megalodon have also been reported up to now (e.g., Bendix-Almgreen, 1982, 1983; Uyeno and Sakamoto 1984; Gottfried et al., 1996; Kent, 2018; Cooper et al., 2022; Shimada et al., 2024a, 2024b). However, the lack of complete fossil specimens has resulted in uncertainty regarding the true size of this prehistoric shark (Sternes et al., 2023, 2024). This paucity of fossil material has hampered our understanding of the biology and ecology of †O. megalodon, despite its presumed significant role in shaping the modern-day marine ecosystem as one of the largest carnivores that ever existed (Shimada, 2019; Shimada et al., 2024a).
Previously, the total length (TL: see Ebert et al., 2021, figure 68) of †Otodus megalodon was estimated based on comparisons between the vertebral or tooth sizes of †O. megalodon with those of the extant white shark, Carcharodon carcharias (Randall, 1973; Gottfried et al., 1996; Shimada, 2003, 2019; Perez et al., 2021). These studies estimated the maximum TL of †O. megalodon to be at least 15 m and as much as about 20 m (e.g., Shimada, 2019; Perez et al., 2021), with a TL at birth of about 2 m (Shimada et al., 2021b). Likewise, estimates of body weight (BW) for †O. megalodon were conducted using the extant white shark as a proxy, with maximum estimates ranging up to about 103 metric tons (t) for a hypothetical 20.3-m-TL individual (Gottfried et al., 1996; Cooper et al., 2022). The use of C. carcharias as a modern analog for †O. megalodon was historically considered logical, particularly in earlier studies (e.g., Randall, 1973; Gottfried et al., 1996). This is because the species was assigned to the genus Carcharodon (Lamnidae) with the interpretation that “Carcharodon” megalodon was the direct ancestor or a sister taxon of the extant C. carcharias due to their large, triangular serrated teeth (e.g., Applegate and Espinosa-Arrubarrena, 1996; Purdy, 1996). Whilst †O. megalodon is now generally considered to belong to †Otodus within the extinct lamniform family †Otodontidae rather than Carcharodon or Lamnidae (Cappetta, 2012; Shimada et al., 2017; Figure 1A), the use of extant C. carcharias or other extant lamnids as a proxy to infer the body size or other aspects of the biology of †O. megalodon has continued simply because of a perceived lack of any suitable modern alternatives (e.g., Reolid and Molina, 2015; Razak and Kocsis, 2018; Shimada, 2019; Perez et al., 2021; Cooper et al., 2020, 2022).
However, the practice of using extant Carcharodon carcharias or other lamnids to infer the biology of †Otodus megalodon, including its body size and form, has recently been called into question (Sternes et al., 2023, 2024). Sternes et al. (2024) pointed out that the total combined length of an incomplete vertebral column of †O. megalodon from the Miocene of Belgium (IRSNB P 9893 housed in the Royal Belgian Institute of Natural Sciences in Brussels) mostly consisting of trunk vertebrae was 11.1 m (Cooper et al., 2022; Figure 1B), but the same fossil individual was previously estimated to be 9.2 m TL (Gottfried et al., 1996). This apparently contradictory estimate included the head and the caudal fin and was based on the comparison of vertebral diameters in 16 individuals of the extant C. carcharias (Gottfried et al., 1996). This discrepancy indicates that the extant lamnids, including C. carcharias, may not serve as appropriate modern analogs for †O. megalodon as they most likely result in underestimated TL values for †O. megalodon. In point of fact, Sternes et al. (2024) suggested that †O. megalodon likely had a slenderer body than the extant white shark.
The corollary of Sternes et al.’s (2024) study is that it is better not to make any a priori assumption that any single extant shark taxon (e.g., Carcharodon carcharias or any other lamnid) would provide adequate estimates of †Otodus megalodon’s biological parameters. Therefore, with the assumption that IRSNB P 9893 largely represents the entire length of the trunk vertebrae, here we take a novel approach to reassess the body length of †O. megalodon. Specifically, we survey the proportional relationship of the trunk length to the neurocranial length (NL) as well as that of the trunk length to the caudal fin length (CL) (Figure 1B) across a wide range of Mesozoic–Cenozoic neoselachians to infer the anteroposterior length of the neurocranium (a proxy for the head length) and the caudal fin in †O. megalodon. Based on the newly estimated TL, we reassess the body form of †O. megalodon by addressing the question “Could it indeed have had a slender body?”. Along with the body form reassessment, we also re-evaluate its body weight, cruising speed, and ontogenetic growth parameters, which in turn offer new insights into its gigantism, life history strategies, ecology, and extinction.
MATERIALS AND METHODS
Examined Taxa and Samples
The key specimen for this study, an incomplete vertebral specimen of †Otodus megalodon from the Miocene of Belgium (IRSNB P 9893; previously referred to as “IRSNB 3121”: Gottfried et al. 1996), consists of 141 associated, but disarticulated, centra up to 15.5 cm in diameter from one individual shark (Cooper et al., 2022). This specimen was found near Antwerp, but specific stratigraphic or locality information is not available (see Gottfried et al., 1996, for additional historical accounts and relevant references, including Leriche, 1926). In addition, to further reassess various biological aspects of †O. megalodon, this study refers to one of Bendix-Almgreen’s (1982, 1983) approximately 20 associated gigantic (as large as 23 cm in diameter) vertebrae from the Upper Miocene Gram Formation in Gram, Denmark, based on photographic evidence. Both IRSNB P 9893 and the specimen from Denmark were not associated with any teeth, but they are assumed to have come from †O. megalodon based on 1) their exceptionally gigantic sizes; 2) the fact that teeth of †O. megalodon are known from Miocene deposits at each respective area; and 3) the fact that the vertebral morphology is consistent with that of the order Lamniformes which †O. megalodon belongs but differs from that of another large lamniform taxon, the basking shark Cetorhinus (Leriche, 1926; Bendix-Almgreen, 1982, 1983; Gottfried et al., 1996; see also Shimada et al., 2021b, 2024a; Cooper et al., 2022). It should be noted that they are likely not from another large, contemporaneous, enigmatic lamniform, †Parotodus benedenii, known only from rarer teeth because the tooth-based maximum estimated TL for †P. benedenii (i.e., ca. 7.6 m by Kent, 1999; Collareta et al., 2023a) is substantially shorter than the vertebral length of 11.1 m known for IRSNB P 9893 (Figure 1B; see also Shimada et al., 2021a, table 3).
†Otodus megalodon belongs to †Otodontidae, but the exact systematic position of the family within Lamniformes is uncertain (Shimada, 2022; Sternes et al., 2023, 2024; Figure 1A). Therefore, we chose not to make any a priori assumption as to what lamniform taxon or taxa could have resembled the extinct shark. Furthermore, to identify lamniform-specific trends in body size and proportions, we examined taxa from a range of extant sharks in other clades. In all, our dataset comprises 145 extant species in nine orders (including Lamniformes), 38 families, and 103 genera (Appendix 1; taxonomy and classification follow Ebert et al., 2021, except Dichichthys bigus [Dichichthyidae], which is based on White et al., 2024). In addition, our dataset includes 20 species of Jurassic and Cretaceous (extinct) neoselachians known from complete specimens (i.e., only those fully articulated axial skeletons with preserved body outlines, particularly their head and caudal fin), including four lamniform genera, based on published illustrations of specimens (Appendix 2). These extinct taxa add one order, eight families, and 17 genera to the aforementioned taxa, resulting in a combined (extant and extinct) total dataset of ten neoselachian orders (Figure 1A) consisting of 46 families, 120 genera, and 165 species (Appendix 3).
We compiled the neurocranium length (NL; i.e., anteroposterior distance of the skull between the rostral tip and occipital centrum) data from illustrations in the literature in which scale bars and specimen orientation allowed linear calculation of NL as well as radiographic (X-ray or computed tomography) images or neurocranial specimens from non-embryonic shark individuals, each with a known TL. Specifically, we gathered data from the following papers: White (1895), Cappetta (1980), Compagno (1988, 1990), Duffin (1988), Shirai (1992), Goto (2001), Kriwet and Klug (2004), Thies and Leidner (2011), Mollen et al. (2012, 2016), Denton et al. (2018), Weigmann et al. (2020), Pfeil (2021), Vullo et al. (2021, 2024), Jambura et al. (2023), Staggl et al. (2023), Viana and Soares (2023), and White et al. (2024) (Appendix 1–Appendix 2; note that incomplete fossil specimens or privately owned specimens are not included: e.g., many specimens in Pfeil, 2021). Extant individuals without TL or NL data as well as fossil specimens with missing body parts or unmeasurable TL or NL were not included. These include cases of neurocranial illustrations without scales such as those in many or all illustrations by Compagno (1990), Crawford (2014), and Villalobos-Segura et al. (2022), including occasional inadvertent omissions of scales (e.g., Shirai, 1992, plate 3A-B for Echinorhinus brucus; Goto, 2001, figure 13B-C for Stegostoma tigrinum).
The radiographically examined samples and physical neurocranial specimens used in this study are housed in the following 14 institutions: Academy of Natural Sciences of Drexel University (ANSP), Philadelphia, Pennsylvania, USA; Bernice P. Bishop Museum (BPBM), Honolulu, Hawaii, USA; Commonwealth Scientific and Industrial Research Organisation (CISRO), Hobart Tas, Australia; Field Museum of Natural History (FMNH), Chicago, Illinois, USA; Florida Museum of Natural History, University of Florida (UF), Gainesville, Florida, USA; Hokkaido University Museum (HUMZ), Sapporo, Hokkaido, Japan; Museum of Comparative Zoology (MCZ), Harvard University, Cambridge, Massachusetts, USA; National Museum of Natural History (USNM), Washington D.C., USA; Natural History Museum of Los Angeles County (LACM), Los Angeles, California, USA; Scripps Institution of Oceanography (SIO), University of California, San Diego, La Jolla, California, USA; University of Michigan Museum of Zoology (UMMZ), Ann Arbor, Michigan, USA; Yale Peabody Museum (YPM), New Haven Connecticut, USA; Zoological Museum Hamburg (ZMH), Hamburg, Germany; and Natural History Museum of Denmark (ZMUC), Copenhagen, Denmark. While there are 107 extant shark genera known to date (Ebert et al., 2021; White et al., 2024), the examined taxa account for 96.3% of all known extant shark genera. The remaining 3.7% of the genera not included in this study are: Akheilos (Carcharhiniformes: Scyliorhinidae), Euprotomicroides (Squaliformes: Dalatiidae), Nebrius (Orectolobiformes: Ginglymostomatidae), and Scymnodon (Squaliformes: Somniosidae).
Examined Comparative Variables and Methods for TL Estimations
The units of length measurements used in this study are either centimeters (cm) or meters (m). The first main objective of this study was to determine neurocranial length (NL) and caudal fin length (CL) of †Otodus megalodon from the known precaudal vertebral column length, which would represent the trunk length (Figure 1B). This process includes two discrete steps. The first step (“Step 1” in Figure 1C) was to determine the neurocranial proportion (NP), trunk proportion (TP), and caudal fin proportion (CP) relative to TL, where the combination of the three “body part proportions” was considered 1 (= 100%). Based on published neurocranial illustrations or radiographic images of neurocrania of extant shark specimens with known TL, NP for each sample was calculated as NL/TL ratio (Appendix 1). For lamniforms, multiple samples of each species, if available, were measured to minimize the effects of intraspecific variation, where the average NP value for each species was calculated and used for the analysis. Ebert et al.’s (2021) illustration for each extant species was used to calculate CP by dividing CL by TL as measured on each page of the book (Appendix 3). Each TP value was obtained by first adding NP and CP and then subtracting the sum from 1 (Appendix 3). In the case of extinct taxa, NP, TP, and CP of each sample were directly determined based on “TL” as measured in each published illustration, where the average NP, TP, and CP values for each species were calculated and used for the analysis when multiple conspecific samples were available (Appendix 2). The determination of NP, TP, and CP for each species allowed the second step (“Step 2” in Figure 1C), which was to scale TP to be 100% (or “adjusted trunk proportion” [aTP] in Figure 1C) and then calculated the proportionately “adjusted neurocranial proportion” (aNP) and “adjusted caudal fin proportion” (aCP), accordingly (Appendix 3). For this study, the median aNP and aCP values were compared across taxa or operational categories as proxies to ultimately calculate the inferred NL and CL of †O. megalodon from the known precaudal vertebral length (Figure 1B). It should be noted that, for this specific purpose, isometric scaling of body proportions with total length is assumed by taking the median proportions (but see also the importance of allometric consideration and allometry-based analysis in the Discussion).
Comparisons of Body Part Proportions
We addressed the question “Is it possible for †Otodus megalodon to have had similar body part proportions to sharks with a slender body?” to examine if there would be any possible validity to Sternes et al.’s (2024) proposition. To do so, the aNP, aTP, and aCP values for estimating the respective body part sizes of †O. megalodon for TL estimation (see above) were readjusted to NP, TP, and CP by considering that the combined total of the three proportional variables would add up to 1 (= 100%). These three values for †O. megalodon were then combined with the dataset comprising NP, TP, and CP of every examined species listed in Appendix 3 to conduct a cluster analysis using the computer software PAST (PAleontological STatistics: Hammer et al., 2001) under the Unweighted Pair Group Method with Arithmetic Means (UPGMA). This was to generate a Euclidean distance dendrogram, namely a cluster tree, to determine the taxon with the most similar body part (NP, TP, and CP) proportional relationship to our interpretation of the body part proportional relationship of †O. megalodon. Specifically, under similar body proportional values, we examined if †O. megalodon would cluster with the lamnid taxa typically used as body form proxies (e.g., Gottfried et al., 1996; Cooper et al., 2020, 2022) or another, more slender species (e.g., Sternes et al., 2024).
Comparisons of Fineness Ratios
Once a taxon possessing a slender body with similar body part proportions with †Otodus megalodon was identified, the question of whether †O. megalodon could have had a slenderer body than lamnids was further examined from a hydrodynamic viewpoint. The body fineness ratio is a comparative index of the body slenderness sometimes used for aquatic vertebrates calculated by dividing the “body length” by the body depth, where the larger the value, the slenderer the body is (e.g., Ahlborn et al., 2009; Porter et al., 2009, 2011). Ahlborn et al. (2009) examined the fineness ratios of many cetacean taxa, and although they did not specify exactly what they meant by “body length”, it is interpreted to be the fork length that is commonly used for cetaceans. In this study, we also used the fork length and compared the body fineness ratios among sharks of interest, including previously reconstructed body forms of †O. megalodon as well as data from cetaceans presented by Ahlborn et al. (2009). It should be noted that Ahlborn et al.’s study (2009) did not cover some notable mysticete taxa such as the humpback and right whales. The humpback whale (Megaptera novaeangliae) and North Atlantic right whale (Eubalaena glacialis) were thus added to our dataset for comparisons and discussion of their fineness ratios as presented by Woodward et al. (2006, table 3).
The body of sharks, including †Otodus megalodon, is covered with dermal denticles (= placoid scales; e.g., Shimada et al., 2024a, and references therein) that are typically thrust-enhancers by reducing drag (Oeffner and Lauder, 2012), whereas whales mostly have tight smooth skin although some cetaceans have cutaneous dermal ridges or tubercles that may act to somewhat control flow (Fish and Rohr, 1999; Miklosovic et al., 2004; Fish et al., 2008; but see also Wainwright et al., 2019). However, in aquatic vertebrates (or at least in whales), the major determinant of drag is said to be body shape rather than body surface texture (Fish and Rohr, 1999), where body depth, along with large-amplitude body movements, is regarded as a major factor determining maximum acceleration (Webb, 1978). Although the magnitude of amplitude of body movements in †O. megalodon is uncertain, we thus consider the comparison between large sharks and whales in terms of body fineness ratios (which in turn reflects body depth) to be reasonable with the assumption that †O. megalodon as a gigantic marine vertebrate was likely subject to similar hydrodynamic constraints on morphology and locomotion as the similar-sized largest living whales.
The specific shark taxa and relevant references are given in the Discussion, but we note the procedure here. First, we obtained orthogonal silhouettes of the body of selected shark species from the literature. Second, using these silhouettes, we volumetrically estimated their body masses (= BW) at different total lengths for respective species, using the Paleomass R program (Motani, 2023; for further detail, see Methods for BW Estimations below). Third, we found the TL at which the volumetric body mass estimate matched the mean body mass expected for respective species based on published regression equations between body mass and fork length, and between fork length and total length. Fourth, for the remaining TL, we matched the volumetric and regression-based BW estimates by making the silhouettes more slender or stouter depending on the computation outcome by multiplying both lateral and dorsoventral body diameters uniformly across the body. Using such a factor, a likely body fineness ratio was calculated at each length for each species. The regression equations we used were based on Natanson et al.’s (2022) species-specific quantitative relationships between the fork length (their “FLOTB”) and body mass, whereas our values are based on the total length spanning from the rostral tip to the posterior tip of the caudal fin (their “TLSL”). Nevertheless, the difference is considered to have negligible effects on the overall results, because the total length and fork length are tightly correlated with each other in these sharks (Natanson et al., 2022).
Methods for BW Estimations
The units of BW (or body mass) used in this paper are either kilograms (kg) or metric tons (t), where U.S. tons for the BW of †Otodus megalodon occasionally used in literature (e.g., Gottfried et al., 1996) are converted to metric tons. Our method of calculating the BW of any given shark entailed first generating a 3D computer reconstruction of the body from the outlines or silhouettes of its body in lateral and dorsoventral views based on literature (e.g., Ebert, 2014; Ebert et al., 2021; Figure 1D). Body mass was estimated from the volume of the 3D body space, but to estimate the body mass more accurately for better comparisons with reported body masses of other marine vertebrates, all non-caudal fins and non-muscular portions of the caudal fin (laterally bulged or thickened portion demarcated by a line on the lateral face of the caudal fin in published drawings) were excluded from body silhouettes (Figure 1E). Then, serial superelliptical sections were generated based on the two body silhouettes (Motani, 2023; Figure 1F). Subsequently, a 3D mesh combining all superelliptical slices was generated to allow body mass extrapolations from the volume within the 3D mesh (Figure 1G), following Motani’s (2023) methods. The calculations were made using the Paleomass package in R (R Core Team, 2024), along with the following assumptions as recommended (Motani, 2023). The mean body density was assumed to be that of the surface seawater, which is 1.027 g/cm3 (Stewart, 2008), which would give †O. megalodon near-neutral buoyancy in seawater. Although liver volume is known to exhibit positive allometry with a possible implication that “larger sharks evolved bulkier body compositions by adding lipid tissue to lean tissue rather than substituting lean for lipid tissue, particularly in the liver” (Gleiss et al., 2017, p. 1), we consider any departure from this value (1.027 g/cm3) to be negligibly small in free-swimming marine vertebrates for this study (see Motani, 2023). A superelliptical component range of 1.8 to 2.0 was used, following an observation that sharks tend to fit within this range (Motani, 2023). Body silhouette images were given 3,000 pixels along the body length to minimize systematic errors (Motani, 2023).
Assessment of Cruising Speed
Cruising speeds are species-specific in sharks (Ryan et al., 2015). However, meaningful comparisons of the swimming speeds of sharks are difficult to perform due to the wide variation range in reported speeds stemming from measurements taken from individuals of different sizes or ontogenetic stages, intraspecific behavioral differences, water currents, the use of different (e.g., two-dimensional vs. three-dimensional) tracking approaches, and the duration of tracked time of each measured individual (Kai and Fujinami, 2020). In addition, reported swimming speeds of sharks also vary in distance, time unit, and/or types of speed measurements used, such as “maximum speed”, “burst speed”, and “body lengths per second”. For this study, we used published “cruising speeds” (i.e., distance per unit time: sensu Watanabe et al. 2015, which were interpreted to be equivalent to the “routine swimming speeds” of Lauder and Di Santo, 2015) as a proxy for the ordinary swimming state of each shark species. Following the approach of Shimada et al.’s (2024a) study, unit conversions were made on published cruising speeds where necessary in terms of “km per hour” (km h-1) to standardize our comparative speed data.
Ontogenetic Analysis
Shimada et al. (2021b) analyzed the growth parameter of †Otodus megalodon using micro-computed tomography to radiographically render the incrementally deposited growth bands interpreted to have formed annually in the well-calcified body (corpus calcareum) of the vertebrae in IRSNB P 9893 (Figure 1H–J). In this present study, a new ontogenetic analysis was also conducted after the reassessment of the possible TL to emend Shimada et al.’s (2021b) growth parameter estimates. The band count of the vertebrae was 46, represented by the outermost growth band, where the largest vertebral centrum (“vertebra #4”) in the specimen measured 155 mm in diameter and was assumed to have formed when the shark was 921 cm TL and 46 years old. The 921-cm-TL estimate was based on a linear regression function describing the quantitative relationship between the maximum vertebral width and TL from 16 extant white sharks, Carcharodon carcharias (Gottfried et al., 1996). Each band was sequentially assigned a band number (BN), where the band at age 0 was identified by the “angle change” recognized along the inner and outer rims of the corpus calcareum (Shimada et al., 2021b; Figure 1J). Each band interval (BI) from one band to the successive band between BN 0 to BN 46, and the percent centrum radius (pCR) at each BN was calculated by treating the last BN that marked the centrum radius (CR) of 77.5 mm as 100%. Then, each extrapolated TL (eTL) from each pCR at each BN was computed by considering the estimated TL of 921 cm for the individual as 100%, and an estimated growth length (eGL) gain from one band to the next was also determined from the eTL data (Shimada et al., 2021b). The BN and eTL then formed the primary analysis using the von Bertalanffy growth function (VBGF) (von Bertalanffy, 1938) as an exploratory tool to fit the BN-TL data using the least squares method under a hypothetical supposition that each BN-TL pair (including BN 0) was obtained from a randomly sampled individual of a population even though the BN and eTL values represent dependent measurements from a single individual–a technique that has been applied to several extinct and extant elasmobranchs to elucidate their growth pattern and life history strategy (Shimada, 2008; Jacobs and Shimada, 2018; Sternes and Shimada, 2018; Shimada and Everhart, 2019; Jambura and Kriwet, 2020).
In this present study, the same BN, CR, BI, and pCR values from Shimada et al.’s (2021b) study was used to reassess the VBGF parameters for †Otodus megalodon using the newly extrapolated TL for IRSNB P 9893 (see Discussion). The parameters were calculated using the Desmos Inc. graphing software (www.desmos.com, v1.9.0) based on the following form of VBGF describing the length (L) as a function of the age of the shark (t):
L(t) = L∞ (1 ‒ e‒k(t ‒ t0))
where L∞ is the estimate of asymptotic (= maximum) length, k the rate constant with units of reciprocal time (i.e., the time it takes for a fish in a population to reach near its mean maximum length), and t0 the theoretical time at zero length. The obtained VBGF curve allowed us to determine the body length at birth (L0) represented by its y-intercept. We also tentatively estimated the longevity of the shark using a published equation (Natanson et al., 2006) for the estimated age at 95% of L∞, i.e.:
Longevity = (1/k)ln{(L∞ – L0)/[L∞ (1 – x)]} with x = L(t)/L∞ = 0.95.
RESULTS
Among the extant taxa (Appendix 3), the lowest NP values are found in Chlamydoselachus anguineus (4.0%; Hexanchiformes: Chlamydoselachidae) followed by two of the three alopiids (5.6–5.9%; Lamniformes: Alopias pelagicus and A. vulpinus), whereas those with the highest NP values are pristiophorids (23.6–32.9%; Pristiophoriformes: Pliotrema spp. and Pristiophorus spp.) followed by Apristurus laurussonii (21.0%; Carcharhiniformes: Pentanchidae) and Mitsukurina owstoni (20.5%; Lamniformes: Mitsukurinidae). The smallest TP was found in Alopias pelagicus (40%), followed by Stegostoma tigrinum (41.4%; Orectolobiformes: Stegostomatidae) as well as in most of the taxa with the largest NP (e.g., A. vulpinus, Apristurus, Mitsukurina, Pliotrema, and Pristiophorus) besides Alopias superciliosus and Pentanchus profundicolus (Carcharhiniformes: Pentanchidae) ranging 41.6–55.0%. On the other hand, the largest TP values are found in Squatina japonica and S. africana (Squatiniformes: Squatinidae) and Euprotomicrus bispinatus (Squaliformes: Dalatiidae) ranging from 76.5 to 77.8%. The lowest CP values are found in Squatina africana and S. japonica (12.3 and 13.5%), followed by Pliotrema kajae, Dichichthys bigus (Carcharhiniformes: Dichichthyidae), and Euprotomicrus bispinatus (14.6–14.7%), whereas those with the highest CP values are Alopias spp. and Stegostoma tigrinum (42.8–54.1%). The median NP, TP, and CP among all the extant taxa analyzed are 12.0, 65.3, and 22.2%, respectively, and it is notable that these median values are practically identical even if all the examined extinct taxa are included (12.0, 65.4, and 22.2%, respectively: Appendix 3).
Considering only extinct and extant Lamniformes (Table 1), the lowest NP values are found in Alopias spp. and †Aquilolamna milarcae (†Aquilolamnidae) ranging 5.6–7.1%, whereas those with the highest NP values are represented by the two mitsukurinids, Mitsukurina owstoni and †Scapanorhynchus lewisii, measuring 20.5% and 17.5%, respectively. Alopias spp., M. owstoni, and †S. lewisii represent lamniform taxa with the lowest TP values ranging 40.0–50.7%. The TP values of the remaining lamniforms range from 58.8% (Megachasma pelagios) to 71.4% (Cetorhinus maximus). Whereas Alopias spp. have the highest CP values (42.8–54.1%) among all the examined extinct and extant taxa (not only among lamniforms), lamniforms with the lowest CP values are represented by Isurus oxyrinchus (17.6%) and †Ptychodus sp. (†Ptychodontidae: 17.7%). The median NP, TP, and CP among all the extinct and extant lamniforms combined are 10.8, 63.1, and 26.2%, respectively.
If the TP values of all the examined lamniforms are considered 1 (= 100%) for standardization (“Step 2” of Figure 1C; Table 1), the lowest aNP is found in †Aquilolamna milarcae (10.7%), followed by Cetorhinus maximus (12.9%) and Alopias spp. (13.5–14.8%), whereas the highest aNP values are found in mitsukurinids (34.5–42.9%: Mitsukurina and †Scapanorhynchus) and odontaspidids (20.1–21.6%: Odontaspis spp.). The lowest aCP values among lamniforms are represented by Isurus oxyrinchus (17.6%) and †Ptychodus sp. (†Ptychodontidae: 17.7%), whereas alopiids (85.4–135.3%: Alopias spp.) and mitsukurininds (62.7–66.3%: Mitsukurina and †Scapanorhynchus) have the highest aCP values. The median aNP and aCP in lamniforms are 16.6 and 41.8%, respectively.
Table 2 shows the comparative aNP and aCP data by taxonomic order. The lowest and highest aNP values among all examined neoselachians are 5.8% in Hexanchiformes (specifically Chlamydoselachus anguineus: Appendix 3) and 65.7% in Pristiophoriformes (specifically Pliotrema warreni: Appendix 3), whereas the lowest and highest aCP values recorded are 16.3% in Squatiniformes (specifically Squatina africana: Appendix 3) and 135.3% in Lamniformes (specifically Alopias pelagicus: Appendix 3). By taxonomic order, the largest median aNP (53.3%) is found in pristiophoriforms with an elongated rostrum. Only one taxon of †Synechodontiformes (as well as Echinorhiniformes and †Protospinacidae) was examined in this study (see Appendix 3), and there are taxa in some other neoselachian orders with higher aNP values; however, if the single aNP is regarded as a typical (or “median”) value for the †synechodontiforms, its aNP of 26.8% represents the next highest aNP value in the “Median aNP” column. The smallest median aNP is represented by Squatiniformes (12.6%). Likewise, although only one taxon represents †Synechodontiformes (as well as Echinorhiniformes and †Protospinacidae) and there are taxa with a caudal fin that even exceeds the trunk length (e.g., Alopias spp.), the highest and lowest aCP values in the “Median aCP” column are also represented by †Synechodontiformes (72.0%) and Squatiniformes (17.0%), respectively. The median aNP and aCP of all the examined neoselachian species listed in Appendix 3 are 18.3% and 33.3%, respectively.
Figure 2 shows a cluster tree that graphically depicts the degree of differences (or similarity) in the relationship of NP, TP, and CP values across all the examined taxa (in Appendix 3), and we here note a couple of major observations. First, the most distinctive body part proportions are exhibited by Alopiidae (Lamniformes) and Stegostoma tigrinum (Orectolobiformes) with an exceptionally elongated caudal fin, by Pristiophoriformes with an exceptionally elongated spinous rostrum, and to a lesser extent by Mitsukurinidae (Lamniformes) with an exceptionally elongated non-spinous rostrum (“a”, “b”, and “c” in Figure 2). Second, there are no specific taxonomic, phylogenetic, ecological, or functional trends in body part proportions as exemplified by the fact that all lamniform species are largely scattered throughout the rest of the cluster tree (see distributions of arrows pointing lamniforms in Figure 2). For example, even though one branch of the tree containing †Otodus megalodon (“d” in Figure 2) includes two other lamniform taxa (Lamna nasus and †Palaeocarcharias stromeri: note that the lamniform attribution of †P. stromeri in this study is tentative: see Underwood, 2006; Landemaine et al., 2018; Jambura et al., 2019; Villalobos-Segura et al., 2023; Guinot et al., 2025), they are not only interspersed with carcharhiniforms in different families (the carcharhinid Negaprion brevirostris, triakid Triakis megalopterus, and hemigaleid Paragaleus tengi) but the members of the branch are also represented by diverse forms, such as the fast-cruising pelagic Lamna nasus with regional endothermy, the slower-cruising pelagic Negaprion brevirostris, demersal Triakis megalopterus and Paragaleus tengi, and even seemingly benthic †Palaeocarcharias stromeri (see Compagno, 1988; Duffin, 1988; Ebert et al., 2021; Shimada et al., 2024a, and references therein). Among the aforementioned taxa, L. nasus and N. brevirostris have the most similar body part proportions to †O. megalodon (Figure 2; see Discussion below).
DISCUSSION
Total Length of †Otodus megalodon
Teeth and vertebrae of †Otodus megalodon measure up to at least 16 cm in total vertical (apicobasal) height and 23 cm in diameter, respectively (Bendix-Almgreen, 1982, 1983; Shimada, 2019), which are gigantic. Whereas TL extrapolations based on tooth sizes or vertebral diameters are now regarded to produce underestimated or otherwise unreliable TL values, particularly by comparing them with those of extant Carcharodon carcharias (Sternes et al., 2024), one empirical piece of information about the length of †O. megalodon is that an incomplete vertebral column fossil from the Miocene of Belgium putatively belonging to †O. megalodon (IRSNB P 9893) measures about 11.1 m when all the vertebrae are put together (Cooper et al., 2022). Although the vertebral column is considered to include a few caudal vertebrae, most of them are interpreted to represent precaudal vertebrae (Sternes et al., 2024). By assuming that the combined anteroposterior length of a few caudal vertebrae is negligible, that the vertebral column may be missing some precaudal vertebrae, and that the vertebral column was most likely slightly arched or curved in life (see various published CT scan images despite variable specimen conditions: e.g., Kim et al., 2021, figure 16; Sternes et al., 2024, figure 3), we consider 11 m to be a simplistic, reasonable, and most likely conservative precaudal vertebral column length for that specific †O. megalodon individual. Therefore, the lengths that are not accounted for estimating its TL are the “head” and “tail” lengths (Figure 1B).
This study shows that NP, TP, and CP values as well as aNP and aCP values vary across neoselachian sharks, where exceptionally high NP and aNP values are observed in taxa with an elongated rostrum (e.g., pristiophorids, mitsukurinids, and pentanchids, particularly Apristurus), and exceptionally high CP or aCP values are marked by taxa with an elongated caudal fin (e.g., alopiids). Whereas the median aNP and aCP values of all the neoselachian species examined are 18.3% and 33.3%, respectively, the median aNP and aCP values of lamniforms comprising four extinct genera and all the 15 extant species in the dataset are slightly lower (16.6%) and higher (41.8%) than those respective median values (see above; Table 2). If mitsukurinids with a uniquely elongated neurocranium and alopiids with a uniquely elongated caudal fin are excluded from the dataset of Lamniformes to minimize the effects of such uniquely extreme forms, the median aNP and aCP values are 16.6% and 32.6%, respectively (Table 2), which are comparable to, or slightly lower than, the corresponding values for all the examined neoselachian species combined. Because there is no evidence or reason presently to suggest that †Otodus megalodon had an exceptionally elongated rostrum or caudal fin like in the mitsukurinids and alopiids, respectively (Sternes et al., 2023), the median aNP of 16.6% and the median aCP of 32.6% attained for non-mitsukurinid/non-alopiid lamniforms are considered to serve as reasonable conservative proxies for "head" and "tail" proportions to extrapolate the TL of †O. megalodon, under the assumption that body proportions scale isometrically with TL (but see further discussion below).
By considering the vertebral column length of 11 m based on IRSNB P 9893 as 100%, 16.6% and 32.6% of 11 m would, respectively, yield a neurocranial length of 1.826 m and a caudal fin length of 3.586 m for that specific individual of †Otodus megalodon. If all three body part measurements (1.826 m + 11 m + 3.586 m) are added, the individual would have measured about 16.4 m TL. This new TL estimate is drastically larger than the previous estimate of 9.2 m TL made for the individual based on the maximum width of its largest centrum (“vertebra #4” measuring 155 mm in width) applied to a linear regression function characterizing the quantitative relationship between the maximum vertebral width and TL measurements from 16 extant white sharks (Gottfried et al., 1996).
Whereas the largest vertebra in IRSNB P 9893 measures 15.5 cm in width (or “diameter”), the largest putative vertebra of †Otodus megalodon on record is a specimen reported from the Miocene of Denmark (Bendix-Almgreen, 1982, 1983). According to Bendix-Almgreen (1983), the vertebra measures about 23 cm in diameter. This means that the vertebra is 1.484 times larger than the largest vertebra in IRSNB P 9893, and if this ratio is applied to the estimated TL of 16.4 m for IRSNB P 9893, the †O. megalodon individual from the Miocene of Denmark would have measured 24.3 m TL.
It must be noted that our 16.4-m-TL estimate for IRSNB P 9893 and the larger estimate of 24.3 m TL are hypothetical because our choice of median aNP (0.166) and aCP (0.326) values among non-mitsukurinid/non-alopiid lamniforms along with the assumption of isometry of the NP and CP with TL is arbitrary even though it is not necessarily unreasonable. Similarly, the larger estimate of 24.3 m assumes isometric scaling between TL and vertebral width through †Otodus megalodon ontogeny, a relationship which has not been assessed empirically. The lowest and highest aNP values in our dataset (Appendix 3) are 0.058 in Chlamydoselachus anguineus (Hexanchiformes: Chlamydoselachidae) and 0.657 in Pliotrema warreni (Pristiophoriformes: Pristiophoridae), respectively, and the lowest and highest aCP values are 0.143 in †Pseudorhina acanthoderma (Squatiniformes: Squatinidae) and 1.353 Alopias pelagicus (Lamnformes: Alopiidae). If these proportions are applied to the trunk length of IRSNB P 9893 (11 m), the neurocranial lengths and caudal lengths of that †O. megalodon individual are calculated to range 0.638–7.227 m and 1.573–14.883 m, respectively, which would yield the minimum and maximum possible estimates of 13.2 m TL (= 0.638 m + 11 m + 1.573 m) and 33.1 m TL (= 7.227 m + 11 m + 14.883 m), respectively. If these extreme estimates are applied to Bendix-Almgreen’s (1982, 1983) vertebral specimen, that individual could have measured as little as 19.6 m TL (= 13.2 m × 1.484) and as much as (unrealistically) 49.1 m TL (= 33.1 m × 1.484), again assuming isometry between vertebral width and TL. If we exclude taxa with an exceptionally elongated rostrum (Mitsukurinidae and Pristiophoriformes) or caudal fin (Alopiidae and Stegostomatidae) (i.e., taxa in branches “a”, “b”, and “c” in Figure 2), the largest aNP and aCP in our dataset are 0.396 in Apristurus laurussonii (Carcharhiniformes: Pentanchidae) and 0.720 in †Paraorthacodus sp. (†Synechodontiformes: †Paraorthacodontidae), respectively, which give the neurocranial and caudal fin lengths of 4.356 m and 7.920 m, respectively. If so, †O. megalodon represented by IRSNB P 9893 and Bendix-Almgreen’s (1982, 1983) specimen could have measured as much as 23.3 m TL (= 4.356 m + 11 m + 7.920 m) and 34.6 m TL (= 23.3 m × 1.484), respectively.
The fact that the aNP and aCP values vary significantly among neoselachians suggests that they have exploited a wide range of body part proportions through the Mesozoic–Cenozoic, including the exceptional elongation of the neurocranium or caudal fin due to unique adaptations (e.g., Alopiidae, Mitsukurinidae, and Pristiophoriformes; additional evidence for the independent evolution of elongated neurocrania in multiple neoselachian lineages is presented in Gayford et al., 2024a). Hence, we strongly recommend that all the minimum and maximum possible values given for the two specimens here should not be referenced unless their use can be justified based on empirical evidence. Rather, we regard the median aNP and aCP values to be reasonable reference points than considering the extreme values, because we do not wish to make any a priori assumptions about its body form without any direct fossil evidence beyond its unique gigantism specialization (see Shimada et al., 2021a). The remaining discussions in this paper therefore assume the 16.4-m-TL estimate for IRSNB P 9893 and the 24.3-m-TL estimate for Bendix-Almgreen’s (1982, 1983) specimen.
Could †Otodus megalodon Have Had a Slender Body from a Standpoint of Body Part Proportions?
Sternes et al. (2024) suggested that †Otodus megalodon must have had a slenderer body than lamnids, but they did not specify exactly how slender the body was. In this study, we examined whether there are any examples of “slenderer sharks” with similar body part proportions estimated for †O. megalodon. For this examination, the aNP of 0.166, aTP of 1.000, and aCP of 0.326 for estimating the TL of †O. megalodon (see above) were readjusted to NP, TP, and CP by considering the combined total of the three body part proportions to be 1 or 100%, where the attained NP, TP, and CP of †O. megalodon were 0.1113, 0.6702, and 0.2185, respectively. By including these values of †O. megalodon to the dataset (Appendix 3), our cluster analysis indicated that Lamna nasus and Negaprion brevirostris have the most similar body part proportions to †O. megalodon among the taxa examined (Figure 2). It must be noted that the body part proportions of †O. megalodon are based on the median values of non-mitsukurinid/non-alopiid lamniforms, and thus, it is not necessarily unexpected that one of the lamniforms, L. nasus in this case, would be clustered close to †O. megalodon. However, although they belong to the same broad body form category (“Group B” sharks of Sternes and Shimada, 2020), the clustering of L. nasus (with a deeper body and a tall, lunate caudal fin) and N. brevirostris (with a rather elongate body and a highly asymmetrically caudal fin) suggests that sharks with different body plans and lifestyles may still have similar body part proportions. This observation is even more cogent when considering that Triakis megalopterus, Paragaleus tengi, and †Palaeocarcharias stromeri also closely cluster together with L. nasus, N. brevirostris, and †O. megalodon (i.e., taxa in branch “d” in Figure 2).
The clustering of long-tailed forms (Alopias and Stegostoma), that of long-snouted extinct and extant mitsukurinids, and that of pristiophoriforms (branches “a”, “b”, and “c” in Figure 2) suggest that the proportional data do have credibility. However, the topology among the vast majority of remaining neoselachian taxa in the cluster tree shows little phylogenetic congruency (e.g., Figure 1A; Naylor et al., 2012). This is interpreted to be due to the fact that the “remaining taxa” are dominated by those with a “conventional shark design”, where the range of ways in which “100%” can be divided up into three parts (NP, TP, and CP) under the “conventional” body plan is simply limited. Regardless, one major observation that can be gleaned from Figure 2 is the scattering of lamniforms throughout the dendrogram (Figure 2), likely indicating that Lamniformes exploited wide-ranging combinations of body part proportions, which in turn seems to reflect their broad morphological and ecological diversity (e.g., Compagno, 1990; Ebert et al., 2021; Vullo et al., 2021, 2024). More importantly in the context of this present study, the close clustering of †Otodus megalodon with Negaprion brevirostris indicates that the slender body plan for †O. megalodon as suggested by Sternes et al. (2024) is indeed plausible.
One may ask whether †Otodus megalodon could have resembled Lamna nasus in body form, which was clustered equally close to it with Negaprion brevirostris. However, as Sternes et al. (2024) pointed out, a lamnid-like shark the size of †O. megalodon would make the vertebral column represented by IRSNB P 9893 disproportionately and unrealistically narrow (e.g., Cooper et al., 2022). Figure 3A demonstrates that TL estimates of IRSNB P 9893 based on the relationship between the TL and vertebral diameter in Carcharodon carcharias (e.g., Gottfried et al., 1996) do indeed yield underestimated TL compared to the actual vertebral column length of IRSNB P 9893 reported by Cooper et al. (2022) that does not even account for the head nor for much of the caudal fin. Likewise, Figure 3B shows that the use of vertebral diameters in L. nasus would also result in similar TL underestimations for IRSNB P 9893, strongly suggesting that L. nasus too is an inappropriate comparative model for inferring the TL and body form of †O. megalodon. Below, we further explore the plausibility of †O. megalodon possessing a slenderer body compared to previous body form reconstructions (Gottfried et al., 1996; Cooper et al., 2020, 2022).
Could †Otodus megalodon Have Had a Slender Body from a Hydrodynamic Standpoint?
Body size and shape affect the hydrodynamic efficiency of aquatic vertebrates, where swimming in fish-shaped vertebrates has been studied extensively (e.g., Pettigrew, 1874; Breder, 1926). Yet, most of these studies have concerned the size range of the animals typically corresponding to the order of about 103 to 106 in Reynolds number (Re; see Vogel, 1994). The larger size range is less well understood, although it has been pointed out that the typical body designs seen in the order of 103 to 106 in Re are not optimal for Re in the order of 107 to 108, as in large whales (Vogel, 1994). The optimum fineness ratio for minimum drag is about 4.5 (von Mises, 1945; Schlichting, 1979). Ahlborn et al. (2009) showed that a typical body fineness ratio of about 4.5 or lower was not utilized by these whales, which instead have more elongated bodies with higher fineness ratios reaching 8. They presented a numerical model suggesting that this shift in the optimal body fineness ratio with size reflects the scaling of friction and pressure drag characteristics. With the estimated maximum length between 16.4 and 24.3 m, large individuals of †Otodus megalodon would have had a Re in the order of 107 to 108 with similar constraints on optimal body fineness ratio as in whales. If so, the body design of extant lamnids with stouter bodies than whales is probably not expected in these species which in turn most likely had an elongated body.
Based on the regression line for each species presented by Natanson et al. (2022, tables 16A, 20A, 20B, 31A), we tested if any of the sharks of interest–namely, the carcharhinid Negaprion brevirostris as well as two lamnids, Lamna nasus and Carcharodon carcharias–had a mean growth trajectory that results in such an elongated body at very large sizes. Orthogonal silhouettes (e.g., Figure 1D, 1E) of each species were generated to estimate the volumetric mass (Figure 1F, 1G), and the calculated volumetric mass was fitted to the regression-based mass estimate at different lengths for each species. If larger individuals had volumetric estimates that were larger than regression-based estimates, it was determined that the silhouettes would be too stout for these larger sizes, and the opposite was true for smaller individuals. The results are that the three species exhibit strong allometric relationships between body mass and length, suggesting that their body fineness ratio changes with growth, either positively or negatively depending on the species. In the case of N. brevirostris, the theoretical individuals that were experimentally fit to the regression line between the total length and body weight (TL-BW) become slender with the increase in fineness ratios because BW exhibits negative allometry as TL increases (Figure 4A). On the other hand, in L. nasus and C. carcharias, the fineness ratio decreases as TL increases because BW exhibits positive allometry as TL increases (Figure 4A; see also Hunt et al., 2024). We should note that, even if the original silhouettes used are slightly inaccurate compared to the outlines of the actual sharks, they will not affect the overall observed allometric trend of each species.
Figure 4B shows the fineness ratio plotted against body length for 41 individuals of whales consisting of 20 species in 11 genera based on Ahlborn et al.’s (2009, table 1) study combined with two additional taxa that were not included in their work (see Materials and Methods). The plots show that large migratory cetaceans tend to have a fineness ratio as high as 8, where larger body mass is compensated for to continue providing minimum drag helping to reduce the energy cost of swimming (Ahlborn et al. 2009). An 8-m-long individual of Orcinus orca with an unusually slender body for the species is a clear outlier (Ahlborn et al. 2009), but it would not affect the overall trend seen in the remaining taxa. The gray region in the graph represents the area mostly not utilized by the whales due to hydrodynamic disadvantages, which was implied by Ahlborn et al.’s (2009) study. Although body fineness ratios can approach as low as about 4, such as for Eubalaena glacialis and Megaptera novaeangliae, the graph illustrates that those cetaceans with stout bodies would come with hydrodynamic disadvantages. Based on this graph, we then addressed the question of where in the graph the following three sets of sharks of interest would fall: 1) Negaprion brevirostris, Lamna nasus, and Carcharodon carcharias that are artificially enlarged to the size of †Otodus megalodon under their respective allometric growth (Figure 4A); 2) previous reconstructions of †O. megalodon (Gottfried et al., 1996; Cooper et al., 2020, 2022); and 3) the largest extant sharks (Cetorhinus maximus [basking shark: Lamniformes], Megachasma pelagios [megamouth shark: Lamniformes], Rhincodon typus [whale shark: Orectolobiformes], and Somniosus microcephalus [Greenland shark: Squaliformes]). Figure 4C shows the same cetacean plots as in Figure 4B, but these sets of sharks of interest are added.
The relationships between the fineness ratios and body lengths of the three extant shark taxa (Negaprion brevirostris, Lamna nasus, and Carcharodon carcharias: Figure 4A) in Figure 4C reveal two major contrasting trends. The trajectory of N. brevirostris continues parallel to the general plot distribution of whales, whereas the trajectories of both L. nasus and C. carcharias extend to the region of “hydrodynamic disadvantages”. Although the exact TL-BW relationship of †Otodus megalodon is uncertain, Figure 4C highlights the importance of the consideration of possible allometry when assessing the body form of large extinct organisms like †O. megalodon (see also Gayford et al., 2024b). For instance, it clearly demonstrates that positive allometry leads to an excessively stout body (e.g., Figure 4A), which would increase drag and reduce hydrodynamic efficiency. Whereas there is a general size limit of 7 m TL for non-planktivorous sharks with †O. megalodon representing an outlier (Pimiento et al., 2019; Shimada et al., 2021a), more significantly, Figure 4C appears to suggest that L. nasus and C. carcharias larger than 3.7 and 6.4 m TL, respectively (i.e., their maximum known length: Ebert et al., 2021), would lead to a body too stocky to account for energetically sustainable swimming. It must be emphasized that these allometric curves (represented by broken lines in Figure 4C) are extrapolations, and the reality is that there is no reason to assume the gradient of these allometric curves will remain consistent through ontogeny where data do not exist. Nevertheless, perhaps the most profound implication of Figure 4C is that sharks showing negative allometry (e.g., N. brevirostris) can potentially achieve gigantism while maintaining hydrodynamic efficiency, whereas those with strong positive allometry (e.g., L. nasus) are doomed to become inefficient swimmers if their size reaches the range of the hydrodynamically disadvantageous zone unless the allometric scaling coefficient changes through ontogeny to avoid it.
Figure 4C also shows the plots representing the relationships between the fineness ratio and body length for the three previous reconstructions of †Otodus megalodon (Gottfried et al., 1996; Cooper et al., 2020, 2022). All three previous works relied on or made an a priori assumption that the biology of †O. megalodon, including its body form, must have been similar to that of extant Carcharodon carcharias. While Gottfried et al. (1996) simply speculated †O. megalodon to have had a slightly more massive body than the extant C. carcharias, Cooper et al. (2020, 2022) incorporated other extant lamnid taxa to reconstruct †O. megalodon, which resulted in their reconstructions being slightly stockier than the extant C. carcharias (however, it should be noted that the exact procedure of lamnid-based “model adjustments” is not described adequately in either paper by Cooper et al.). The artificial increase in stoutness in all three studies may mimic the effects of positive allometry seen in Lamna nasus and C. carcharias (e.g., Figure 4A); thus, it is not surprising that the three †O. megalodon plots occur on or between the trajectory lines of the two extant lamnids (Figure 4C). The fact that they are closely clustered with the plots of extant Eubalaena glacialis and Megaptera novaeangliae, which in turn comprise some of the stockiest-bodied large cetaceans, implies that the body forms represented by the three †O. megalodon reconstructions are theoretically viable. However, because the three †O. megalodon plots occur within the hydrodynamic disadvantageous region, our findings based on Figure 4C do not support Cooper et al.’s (2022) contention that †O. megalodon resembled C. carcharias or stocky lamnids in body form and was a fast or hydrodynamically efficient swimmer at the same time.
Figure 4C additionally shows the plots of the following four largest non-alopiid extant shark taxa at their maximum known lengths (Cetorhinus maximus, Megachasma pelagios, Rhincodon typus, and Somniosus microcephalus: see Ebert et al., 2021; Shimada et al., 2021a). Not only do the four extant shark taxa have relatively high fineness ratios (>5) and occur within the plot distribution of the vast majority of cetaceans, but also their plots are situated between the trajectory line of Negaprion brevirostris and the lines of the two extant lamnids (Lamna nasus and Carcharodon carcharias) as well as outside of the hydrodynamically disadvantageous region. Effectively, this finding indicates the interpretation that †Otodus megalodon could have had a more elongated body compared to the extant C. carcharias and other lamnids (Sternes et al., 2024) is quite plausible. More significantly, the four plots line up linearly almost perfectly, suggesting that pathways to gigantism are conserved across phylogenetically disparate neoselachians at least based on the present data. If this interpretation is taken at face value, †O. megalodon at 16.4 m and 24.3 m TL would have had a fineness ratio of 6.01 and 6.15, respectively, based on the linear relationship through the four plots in Figure 4C.
Figure 5A shows the body form of Negaprion brevirostris, Carcharodon carcharias, and Lamna nasus (left half), and how they would appear if a fineness ratio of 6.15 is hypothetically applied (right half). It visually shows that the body form of N. brevirostris requires the least amount of morphometric transformation among the three species as it already has a fineness ratio of about 6. It coincidently implies that the general body form of †Otodus megalodon could have indeed somewhat resembled that of N. brevirostris (e.g., Figure 2), even though the fineness ratio of approximately 6 for †O. megalodon was derived completely independently from the trendline running through the four large extant taxa (Cetorhinus maximus, Megachasma pelagios, Rhincodon typus, and Somniosus microcephalus: Figure 4C). Based on this result, Figure 5C illustrates a highly tentative, conceptualized reconstruction of †O. megalodon with a fineness ratio of about 6.08 (i.e., about halfway between 6.01 and 6.15 calculated), respectively, for 16.4-m-TL and 24.3-m-TL †O. megalodon (see above). It is superimposed with a silhouette of IRSNB P 9893 (Figure 1B), with a slight curvature added based on published CT images of extant shark skeletons, including N. brevirostris (e.g., McQuiston et al., 2017, figure 1; Sternes et al., 2024, figure 3). Although the position of fins in sharks is known to be relatively consistent across taxa (Thomson and Simanek, 1977), the exact sizes and shapes of all the fins of †O. megalodon remain uncertain. It must be emphasized that the NP and CP relative to the trunk proportion remain inferential based on this present study. In addition, this reconstruction (and this entire study for this matter) assumes that IRSNB P 9893 (Figure 1B) consists of a complete set of precaudal vertebrae. If more precaudal vertebrae were originally present in the individual, it would mean that the body was likely even more elongated than depicted in Figure 5C assuming that the neurocrania length and caudal fin length used remain consistent.
It must also be emphasized that practically every aspect of the reconstructed body form of †Otodus megalodon in Figure 5C remains uncertain, and the discovery of a well-preserved complete skeleton of †O. megalodon in the fossil record is still needed to decipher its exact body form. Although there is some evidence that intraspecific variation in morphology, including in the neurocranium, does not obscure interspecific differences (de Oliveira Lana et al., 2021), it should also be noted that most of the taxa listed in Appendix 3 do not account for possible intraspecific variations (e.g., individual, sexual, and ontogenetic differences) in body part proportions even if they are present, where the three proportional values (NP, TP, and CP) with a sum of 1 or 100% are interdependent from one another as a change in one value affects the other two values. Nevertheless, also from the hydrodynamic standpoint, our study strongly indicates Sternes et al.’s (2024) interpretation that “†O. megalodon was more elongated than C. carcharias” is more parsimonious than the previous view that †O. megalodon resembled closely C. carcharias (Gottfried et al., 1996; Cooper et al., 2020, 2022). In fact, our findings confirm that TL extrapolations based on dental or vertebral measurements from extant C. carcharias (e.g., Randall, 1973; Shimada, 2003, 2019; Pimiento et al., 2010; Pimiento and Balk, 2015; Reolid and Molina, 2015; Razak and Kocsis, 2018; Herraiz et al., 2020; Perez et al., 2021) yield underestimated values (Sternes et al., 2024).
Whereas the origin of the genus †Otodus can be traced back to the Danian (lower Paleocene), it is worth noting that the tendency towards gigantism in the †Otodus clade began with the evolution of the geologically oldest chronospecies, †O. obliquus, as exemplified by the fact that its anterior teeth attained as tall as 9 cm in total tooth height by the Ypresian (Early Eocene: Cappetta, 2012). Even though this is too likely underestimated as the TL extrapolation relied on the relationship between the tooth size and TL of extant macrophagous lamniforms, including Carcharodon carcharias, †O. obliquus is thought to have reached at least 8 m TL (Shimada et al., 2021a). The subsequent chronospecies further increased their overall tooth size, developed serrations, and reduced the size of lateral cusplets, and they are generally understood to consist of: †O. auriculatus in the Late Eocene; †O. angustidens in the Oligocene; †O. chubutensis in the Early to mid-Miocene; and ultimately †O. megalodon in the mid-Miocene through Early Pliocene (e.g., Pimiento and Balk, 2015; Trif et al., 2016; Perez et al., 2019; Ballell and Ferrón, 2021; Shimada et al., 2021a). If Shimada et al.’s (2024a) inferences about the range of the maximum TL of the chronospecies in-between †O. obliquus and †O. megalodon are applied, they (i.e., †O. auriculatus, †O. angustidens, and †O. chubutensis) must have minimally attained the body size of †O. obliquus (at least 8 m TL: Shimada et al., 2024a) without reaching that of †O. megalodon (24.3 m TL: this study). Regardless of their exact maximum attainable body sizes, it seems clear that all members of the †Otodus clade consistently overcame the general size limit of 7 m TL recognized for non-planktivorous sharks (Pimiento et al., 2019; Shimada et al., 2021a) by the Early Eocene. The trend of gigantism in †Otodus also corresponds well with the elevated tropic position through the clade that began with †O. obliquus (Kast et al., 2022).
Body Weight of †Otodus megalodon
Most prominent previous BW estimates of †Otodus megalodon are those presented by Gottfried et al. (1996, table 1) and Cooper et al. (2022, table 1). Gottfried et al.’s (1996, table 1) BW estimates included those of the “largest fetus”, “smallest neonate”, largest immature male and female, smallest mature male and female, “largest mature female”, and “large male”, where the smallest and largest estimated BW values were 430 kg (0.4 t) for the “smallest neonate” (3.6 m TL) and 103,197 kg (103 t) for the “largest mature female?” (20.3 m TL). On the other hand, Cooper et al. (2022) gave the BW of 61,560 kg (62 t) at 15.9 m TL. However, the validity of these previous estimates (Gottfried et al., 1996; Cooper et al., 2022) is questionable, because they were based on the a priori assumption that †O. megalodon resembled the extant Carcharodon carcharias or lamnids (see above).
Although we tentatively infer †Otodus megalodon to have had a fineness ratio of about 6.01–6.15 (Figure 5C), the exact BW remains difficult to decipher because of many uncertainties and assumptions (see above). Nevertheless, the hypothetical Negaprion brevirostris, Carcharodon carcharias, and Lamna nasus with a fineness ratio of 6.01 and a TL of 16.4 m would have weighed about 30.3 t, 33.7 t, and 26.9 t, respectively (average of roughly 30 t), while those with a fineness ratio of 6.15 (Figure 5B, left half) and a TL of 24.3 m would have weighed about 94.2 t, 104.7 t, and 83.6 t, respectively (average of roughly 94 t). Therefore, the individual with an estimated TL of 16.4 m represented by IRSNB P 9893 could have weighed about 30 t and the currently largest estimated †O. megalodon (24.3 m TL) about 94 t. These estimates are roughly comparable with those of extant blue whales (Balaenoptera musculus) measuring 17 m (37 t) and 25 m (119 t) in fork length, respectively (Motani and Pyenson, 2024, table 1; see also Paul and Larramendi, 2025) as well as the largest extant whale shark (Rhincodon typus) measuring up to about 18.8 m TL and weighing close to 34 t (McClain et al., 2015, and references therein).
Cruising Speed of †Otodus megalodon
†Otodus megalodon was traditionally characterized as a fast-swimming shark, with previously estimated cruising speeds ranging from 4.8 to 5.1 km h-1 (Jacoby et al., 2016; Ferrón, 2017; Cooper et al., 2022). However, it was reinterpreted to be a slower-cruising shark (1–3 km h-1) compared to extant lamnids overall (from the slowest Carcharodon carcharias of 3.2 km h-1 to the fastest shortfin mako [Isurus oxyrinchus] of 6.7 km h-1) (Shimada et al., 2024a) on the basis of the morphological property of its placoid scales, specifically interkeel distances maintained through ontogeny in sharks with keeled scales (see Raschi and Elsom, 1986). Subsequently, Sayama et al. (2024) examined the keel properties of placoid scales sampled from various body positions of a 3.2-m-TL C. carcharias and mathematically arrived at relatively similar “migration speeds” (which is interpreted to be equivalent to cruising speed) for C. carcharias (8.3 km h-1) and †O. megalodon (9.7 km h-1), which were drastically slower than that of I. oxyrinchus (17.7 km h-1). It should be pointed out that Sayama et al.’s (2024) calculations assumed the estimate of 11.7 m TL for the †O. megalodon individual based on C. carcharias, and if their method is used, a 24.3-m-TL †O. megalodon would have had a migration speed of 10.8 km h-1. However, speed estimates based on Sayama et al.’s (2024) theoretical method appear to generate overestimations, considering that the mean of the mean observed cruising speeds of C. carcharias and I. oxyrinchus are only 3.5 km h-1 (range of 1.7–8.1 km h-1; n = 38) and 3.3 km h-1 (range of 1.0–6.7 km h-1; n = 26), respectively, based on data from numerous studies compiled by Cooper et al. (2022, data S1; but also note potential problems with Cooper et al.’s dataset as discussed by Shimada et al., 2024a). Because the reported cruising speeds of Lamna spp. (3.6–3.9 km h-1: Cooper et al., 2022, data S1) are also faster than reported for C. carcharias, therefore, even if the estimated cruising speed of †O. megalodon could have reached a level comparable with C. carcharias (Sayama et al., 2024), it would still have been an overall slower swimmer than lamnids as a whole based on the presently available cruising speed data (Cooper et al., 2022, data S1; Shimada et al., 2024a, table 1).
Rhincodon and Cetorhinus are the two largest extant sharks or fishes (Ebert et al., 2021; Figure 4C) and have cruising speeds that are much faster (3.1–3.9 km h-1) than the other two sharks, Megachasma and Somniosus (1.3–1.5 km h-1) (Table 3). The ability of Rhincodon and Cetorhinus to achieve relatively high cruising speeds is interpreted to be due to their planktivory near the sea surface where larger spatial coverages are needed for filter-feeding (Shimada et al., 2024a). The lack of any modern examples of macrophagous (= non-planktivorous) sharks that reach or exceed the sizes of the two aforementioned planktivores complicates the inferences about the cruising speed of †Otodus megalodon. Unlike Rhincodon, which is ectothermic and Cetorhinus which is inferentially endothermic (e.g., see Dolton et al., 2023), †O. megalodon was endothermic based on geochemical evidence (Griffiths et al., 2023). However, its warm-bloodedness is interpreted to have been possibly used largely for facilitating digestion compared to promoting fast-swimming like lamnids because its placoid scales suggested its cruising to be overall slower than the extant lamnids collectively (Shimada et al., 2024a; see above). Whereas the cosmopolitan occurrences of †O. megalodon fossils even to include deep oceans far from continental shorelines indicate that †O. megalodon was capable of long-distance swimming, whether the wide geographic distribution was due to a migratory behavior (e.g., Pollerspöck et al., 2023, and references therein) cannot be ascertained decisively from the fossil record. However, if †O. megalodon was capable of at least cruising as fast as the slowest lamnid, Carcharodon carcharias (Sayama et al., 2024; see above), it is possible that †O. megalodon could have exhibited a migrating behavior like the extant C. carcharias (e.g., Skomal et al., 2017, and references therein), which has an average cruising speed (3.5 km h-1; see above) comparable to Rhincodon and Cetorhinus.
The three largest cetacean taxa in Figure 4C are Balaenoptera borealis (sei whale), B. musculus (blue whale), and B. physalus (fin whale) (“2”–“4” in Figure 4B). These are all migratory baleen whales that filter feed near the sea surface (Mizroch et al., 1984a, 1984b, 1984c) with mean cruising speeds ranging between 7.9 and 10.4 km h‑1 (Table 3). The next largest cetacean in Figure 4C is Physeter macrocephalus (sperm whale), a toothed whale that actively hunts for prey in deep waters (e.g., Aoki et al., 2012) with a mean cruising speed of 6.4 km h-1 (Table 3). On the other hand, the other two cetaceans in Figure 4C, Eubalaena glacialis (North Atlantic right whale) and Megaptera novaeangliae (humpback whale), have stocky bodies and are in the region of hydrodynamic disadvantages, and they indeed record slower mean cruising speeds than at least the three Balaenoptera taxa (Table 3). Whereas E. glacialis is particularly slow (1.9 km h-1), however, M. novaeangliae is considerably fast (7.5 km h-1) (Table 3). This could be explained by the fact that, while M. novaeangliae is quite migratory, its pectoral fins are highly enlarged for its unique maneuvering behavior during feeding (Hain et al., 1982), which would require a stocky build to reinforce the rigidity of the body trunk. Nevertheless, it is important to note that the cruising speeds of the gigantic whales outside of the hydrodynamically disadvantageous region are much faster than those of the two large planktivorous sharks (Rhincodon and Cetorhinus) and even lamnids (see above). This fact could be simply due to the difference in swimming modes between sharks (lateral strokes) and aquatic mammals (vertical strokes) as well as to the fact that the skeleton of sharks is cartilaginous whereas that of whales is osseous. Therefore, the use of cruising speeds observed in whales is interpreted to be inappropriate for inferring the cruising speed of †O. megalodon.
Our allometric analysis suggests that it is unlikely that †Otodus megalodon could have been stout and gigantic at the same time because such a body form would have imposed excessive energetic costs for swimming (Figure 4C; see above). The fact that the known size ranges of both Carcharodon carcharias and Lamna nasus do not extend to the region of hydrodynamic disadvantages in Figure 4C suggests that the graph appears credible. Whereas Megaptera novaeangliae could achieve relatively high cruising speeds despite its stocky body (see above), sharks are less likely to be able to defy such hydrodynamic constraints because of their cartilaginous skeleton. It is noteworthy that the range of interkeel distances of placoid scales in †O. megalodon completely overlaps with the common interkeel distance in Negaprion brevirostris that has a typical cruising speed of 2.1 km h-1 (based on the middle number of “0.44–0.71 m s−1 ” reported by Sundström and Gruber, 1998; see Shimada et al., 2024a) or a mean of the mean cruising speeds of 2.4 km h-1 (range of 2.1–2.7 km h-1: Cooper et al., 2022, data S1). Even if †O. megalodon was able to cruise as fast as the slowest lamnid, C. carcharias (Sayama et al., 2024; see above), there is currently no empirical evidence to support that †O. megalodon had a typical cruising speed as high as 4.8–5.1 km h-1 (e.g., Jacoby et al., 2016; Ferrón, 2017; Cooper et al., 2022). Rather, it seems reasonable to assert from the presently available data that the typical cruising speed of †O. megalodon ranged around 2.1–3.5 km h-1. If so, †O. megalodon would have typically needed to resort to burst swimming for prey capture (Shimada et al., 2024a). Sayama et al.’s (2024) placoid scale-based theoretical model suggested the “hunting speed” of †O. megalodon to be about 21 km h-1; however, because of the discrepancies between the estimated and observed cruising speeds of C. carcharias in their study (see above), the validity of their various speed estimates remains questionable. In our view, estimating the maximum burst or hunting speed of †O. megalodon would be too speculative at least at the present time. However, regardless of its exact cruising speed, we contend that the cruising speed of †O. megalodon possibly stayed relatively constant throughout ontogeny, considering that interkeel distances of placoid scales indicative of relative swimming speeds in sharks remain relatively constant throughout their life (Raschi and Elsom, 1986). If so, as for cetaceans (Ahlborn et al., 2009), larger body mass could have been compensated for by increasing the fineness ratio as †O. megalodon grew larger, which concomitantly helped maintain minimum drag to continuously reduce the energy cost of swimming. If this is indeed the case, it also implies that the body form of †O. megalodon underwent at least some degree of allometric changes through ontogeny, and it is in the realm of possibility that the body growth pattern could have followed the allometric trend seen across the four large extant shark taxa (Megachasma, Somniosus, Cetorhinus, and Rhincodon) in Figure 4C.
Growth Model and Life History Strategies of †Otodus megalodon
Shimada et al. (2021b) assessed the life history traits of †Otodus megalodon based on a growth parameter analysis using IRSNB P 9893 (Figure 1B, H–J) and assuming that it came from a 9.2-m-TL individual. In this study, we reassessed the ontogenetic parameters based on the new estimated TL of 16.4 m for IRSNB P 9893, where the outermost growth band (BN 46) was assumed to have formed when the shark was 16.4 m TL and died (Figure 6A). The estimated TL at the time of each grown band formation was then back-calculated based on the percentage distance from the center of the vertebral centrum (eTL in Table 4, Figure 6A). Forty-seven pairs of BN-TL values (including TL at BN 0) were obtained, and Figure 6B shows the VBGF fitted to correlate BN values with TL values. The VBGF parameters of the non-linear regression line (r2 = 99.9%; p < 0.001) are L0 = 385.794 cm TL, L∞ = 5,920.160 cm TL, and k = 0.00556 yr–1, and the longevity of the shark is calculated to be about 526.681 years (note that at least some of these values should not be taken at face value: see below). If each BN formed annually, other noticeable observations are that the estimated growth length gains (eGL in Table 4) in the first seven years (BN 0 through BN 7) range from 34 to 41 cm/yr with an average of 37.4 cm/yr, whereas the estimated growth length gains in the remaining 39 years (BN 8 through BN 46) range from 20 to 31 cm/yr with an average of 26.5 cm/yr.
The re-interpretation that IRSNB P 9893 measured about 16.4 m TL in life in this present study concomitantly alters some aspects of the proposed growth model of †Otodus megalodon significantly. Most notably, Shimada et al.’s (2021b) work suggested that the size at birth for †O. megalodon (or at least the individual represented by IRSNB P 9893) was about 2 m TL, but our back-calculation suggests that its size at birth was about 3.6 m TL (356 cm at BN 0 in Table 2) and possibly as much as about 3.9 m TL based on our new VBGF analysis (specifically L0 = 385.794 cm TL). The inferred large size at birth suggests that, like modern lamniforms (e.g., Gilmore et al., 2005), †O. megalodon practiced ovoviviparity with oophagous intrauterine cannibalism for embryonic nourishment (possibly besides lipid-rich uterine secretions or lipid histotrophy: see Sato et al., 2016; Shimada et al., 2021a), and neonates born with a competitive advantage and reduced predation risk, where one of the consequences of ovoviviparity with embryos’ oophagous behavior is low fecundity (generally one or two fetuses per each of the paired uteri: Shimada et al., 2021b). Although the exact size at sexual maturity can only be speculated for †O. megalodon at present, the fact that neonates of extant lamniforms are about 20‒45% of the size of their mother depending on the species (Shimada et al., 2021a) suggests that the sexual maturity of female †O. megalodon may have been somewhere between 8 and 19.5 m TL to produce neonates measuring 3.6–3.9 m TL. Regardless, although neonates of whales can also be quite large with those of the extant blue whale (Balaenoptera musculus) measuring 7 m TL (Mizroch et al., 1984a), †O. megalodon may well represent the largest neonatal size at birth in the evolutionary history of non-tetrapod fishes, if its estimated size at birth of 3.6–3.9 m TL is indeed true.
Like this present study, Shimada et al. (2021b) suggested that the then-inferred size at birth of 2 m TL was large enough for neonates to have a highly competitive advantage and a low predation risk. This contention is even more true given our revised 3.6–3.9 m TL estimate for neonatal †Otodus megalodon. Curiously, the 3.6–3.9-m-TL neonatal size range corresponds to the size range of when extant Carcharodon carcharias undergoes a dietary shift from a predominantly fish diet to a largely marine mammal diet (see Tricas and McCosker, 1984; Klimley, 1985, 1994; McCosker, 1985; Long and Jones, 1996; Long et al., 1996; Estrada et al., 2006; Hussey et al., 2012). Therefore, it is conceivable that †O. megalodon was capable of taking large prey such as marine mammals upon birth. Furthermore, such a large neonatal size range, which would have already provided a competitive advantage and reduced predation risk relative to most other contemporaneous animals, seems to refute the hypothesis that †O. megalodon neonates utilized nursery areas (Purdy, 1996; Pimiento et al., 2010; Herraiz et al., 2020; for further discussion, see also Shimada et al., 2022).
The growth parameters based on a VBGF correlating BN values with TL values (Figure 6B) must be viewed as highly tentative or even improbable at least in part, not only because it is based on a single specimen but also because the VBGF curve beyond BN 46 is purely theoretical. This is particularly true considering that, where taxon-specific exceptions do exist, there is evidence to suggest that growth bands may simply record growth or vertebral size–i.e., not necessarily age or time–that may have led to systemic age underestimation in past growth studies of elasmobranchs (Passerotti et al., 2014; Harry, 2018; Natanson et al., 2018; Natanson and Deacy, 2019). The questionable nature of our VBGF parameters includes our L∞ value (5,920.160 cm), implying that †Otodus megalodon could have reached up to nearly 60 m TL with a longevity of about 527 years. Although the BN of 46 in this study may be underestimated and may not reflect the true age of IRSNB P 9893 at death, and although the oldest extant shark (Greenland shark: Somniosus microcephalus) ever recorded is estimated to be nearly 400 years old (Nielsen et al., 2016), our calculated longevity of over 500 years is most certainly an overestimation given that the maximum TL calibrated in this present study does not even exceed 25 m (see above). However, at least our estimated largest TL of 24.3 m TL would place the †O. megalodon individual to be about 83 years old (Figure 6B).
Like in Shimada et al.’s (2021b) study, our k value (0.00556 yr–1) is exceptionally low. The value must be interpreted with caution as with other VBGF parameters (see above), but if taken at face value, it suggests that it took a very long time for †Otodus megalodon to attain the mean maximum theoretical length. Shimada et al. (2021b) used lamnid sharks (e.g., Isurus oxyrinchus and Lamna nasus) that have the lowest k values (as low as 0.05‒0.06) among extant lamniforms (Shimada, 2008) as a point of reference, which are still ten-fold greater than the k value obtained for †O. megalodon even in the present study. Even if †O. megalodon never achieved the maximum theoretical length (e.g., L∞ = 5,920.160 cm), our nearly linear VBGF curve (Figure 6B) suggests that †O. megalodon showed relatively steady, indeterminate growth throughout its life, particularly after when BN 7 formed, with an average of 26.5 cm/yr (see above).
Ecological and Evolutionary Implications
It must be emphasized that the findings and interpretations of the paleobiology of †Otodus megalodon presented here must be regarded as working hypotheses. This is 1) because they primarily rest on a single partial skeletal specimen from the Miocene of Belgium (IRSNB P 9893); and 2) because the general body size and morphology of †O. megalodon may have varied through time and space, where larger individuals appeared to have been more common in cooler waters compared to warmer waters (Shimada et al., 2022 vs. Pimiento and Balk, 2015). Additionally, the analytical approaches used in this study required us to make several assumptions about ontogenetic and evolutionary scaling of body and vertebral proportions with TL, which are at present untested. Furthermore, the present fossil record of †O. megalodon reveals practically nothing about its intraspecific, ontogenetic, and sexual variations of body properties, except the wide range of dental size and morphology. Nevertheless, it represents the only specimen suggesting that the species minimally attained 11.1 m, which does not even account for its head with a most likely massive jaw apparatus (e.g., Goto, 1989), nor for much of the caudal fin (Sternes et al., 2024). The fact that IRSNB P 9893 physically measures 11.1 m in length (Cooper et al., 2022), compared to the extrapolation based on the extant Carcharodon carcharias (Gottfried et al., 1996), led Sternes et al. (2024) to conclude that †O. megalodon must have had an elongated body relative to C. carcharias. This interpretation, in turn, implies that its pleuroperitoneal cavity was also elongated (Sternes et al., 2024), and as large ingested food items passed through its elongated digestive tract, its endothermic metabolism (Ferrón, 2017; Griffiths et al., 2023) likely facilitated their digestion, absorption, and further nutrient processing (Shimada et al., 2024a).
Along with its chronospecific predecessors (e.g., †Otodus chubutensis: Perez et al., 2019), †O. megalodon occupied a trophic position similar to (McCormack et al., 2022), or possibly even higher than (Kast et al., 2022), extant Carcharodon carcharias based on geochemical evidence, where the trace fossil record (e.g., tooth marks; sensu Zonneveld et al., 2022) suggests that its diet included marine mammals such as pinnipeds and cetaceans (e.g., Aguilera et al., 2008; Collareta et al., 2017a; Godfrey et al., 2018, 2021; Godfrey and Beatty, 2022; see also Paredes-Aliaga and Herraiz, 2024). If each growth band (Figure 6A) formed annually, our results show that the growth rate during the first seven years was relatively consistent with an average estimated rate of 37.4 cm/yr, and subsequently the relatively constant growth decreased to an average of 26.5 cm/yr. Although the rather constant gradual increase of TL in the first seven years is difficult to characterize as a “growth spurt”, the timing of the slightly reduced growth rate (around BN 7–8) marks shortly after the †O. megalodon individual had reached 6 m TL (Table 4; Figure 6B). Conclusions based only on a single specimen should be taken carefully; however, if IRSNB P 9893 is assumed to typify the growth rate of †O. megalodon, this TL-wise timing is intriguing ecologically and evolutionarily because it coincides well with the general size limit of 7 m TL throughout the history of macrophagous lamniforms (Shimada et al., 2021a). Macrophagous lamniforms over 6 m TL are considered “gigantic” where the only other possible genera contemporaneous with †O. megalodon (mid-Miocene–Early Pliocene) that could have included one or more members attaining such gigantic sizes are limited to Alopias, Carcharodon, Isurus, and †Parotodus (Kent, 1999; Shimada et al., 2021a, table 3, figure 4). Whereas †O. megalodon, which attained well beyond 6 m TL, is regarded as an extreme outlier not only for macrophagous lamniforms (Shimada et al., 2021a) but also for elasmobranchs in general (Pimiento et al., 2019), the fact that the aforementioned stock includes Carcharodon is of particular interest given that the rise of C. carcharias at the dawn of the Pliocene has been proposed to be at least in part responsible for the demise of †O. megalodon through competition (Boessenecker et al., 2019; McCormack et al., 2022). Based on IRSNB P 9893, the observed growth pattern of †O. megalodon appears as if it developed faster during the first seven years or so to “outgrow” the typical maximum size range of Carcharodon (e.g., while Pliocene C. carcharias possibly attained slightly larger sizes, the maximum size of extant C. carcharias is about 6.1 m TL: Randall, 1987; Castro, 2012; Collareta et al., 2023b) and then the growth rate decreased.
The timing of the slightly reduced growth rate at about 6.2–6.5 m TL in †Otodus megalodon (i.e., at BN 7 and 8 in Table 4) is even more intriguing from the standpoint of the evolution within the genus Carcharodon. During the Middle Miocene through the earliest Pliocene, Carcharodon was represented by †C. hastalis, which did not possess serrations on its tooth crowns, where a similar maximum TL to extant C. carcharias was likely already attained by †C. hastalis based on their comparable tooth sizes (e.g., de Muizon and DeVries, 1985; Cappetta, 2012). However, serrations began to develop in Carcharodon via †C. hubbelli in at least the Pacific Ocean around the Miocene–Pliocene transition (e.g., de Muizon and DeVries, 1985; Goto et al., 1993; Ehret et al., 2009a, 2009b, 2012, 2024). In addition, C. carcharias evolved a uniquely derived, mesial inclination of the cusp on the teeth of the upper third tooth row (i.e., the so-called “intermediate tooth row”: e.g., see Shimada, 2002, but also Siverson, 1999). The serrated teeth and upper intermediate teeth in C. carcharias have been regarded as derived traits promoting its feeding on large marine mammals (e.g., Martin et al., 2005; Ehret et al., 2012). Whereas piscivory in †C. hastalis has been demonstrated by a partial skeleton of a ca. 2.4-m-TL juvenile with bony fish remains as stomach contents (Collareta et al., 2017b), multiple cases of fossil cetacean bones with tooth marks putatively made by †C. hastalis are also known (Bianucci et al., 2010, 2018; Takakuwa, 2014; Bosio et al., 2021; Godfrey and Lowry, 2021). This indicates that the competition between the Carcharodon clade and †O. megalodon was likely already present in the Middle–Late Miocene marine ecosystems. Nitrogen and zinc isotopes analyzed in Carcharodon and †Otodus teeth offer additional possible support for the shifting trophic dynamics between these two lineages from the Miocene to the Pliocene–Recent (Kast et al., 2022; McCormack et al., 2022). Thus, the slightly faster growth rate during the first seven or eight years observed in IRSNB P 9893 (Table 4; Figure 6) could be interpreted as †O. megalodon rapidly “outgrowing” the typical maximum size range of †C. hastalis to be able to better compete for feeding on marine mammals. The level of interspecific competition between the two clades could have increased as serrations evolved and the shape and inclination of the crown in intermediate teeth changed markedly in the Carcharodon clade (i.e., in †C. hubbelli – C. carcharias), potentially allowing it to feed upon marine mammals more effectively than its predecessor. Whereas extant C. carcharias are known to feed on marine mammals, particularly larger individuals (e.g., Hussey et al., 2012, and references therein), multiple examples of Pliocene marine mammal bones showing serrated tooth marks and embedded serrated teeth of Carcharodon spp. have also been documented (Cigala-Fulgosi, 1990; Ehret et al., 2009b; Freschi and Cau, 2024; Godfrey et al., 2024, and references therein). In addition, although the study results are rather tenuous, a dental microwear analysis does not contradict the idea of competition between †O. megalodon and C. carcharias for marine mammals (Paredes-Aliaga and Herraiz, 2024).
Body temperature of †O. megalodon was comparable to, or possibly even slightly higher than, that of contemporaneous and extant Carcharodon spp. due to their regional endothermy (Griffiths et al., 2023, and references therein), but †O. megalodon is interpreted to have been no faster than C. carcharias in terms of cruising speed (see above). While climatic cooling and restructured ocean circulation during the Pliocene may also have had a role in †O. megalodon’s eventual demise (Condamine et al., 2019), the rise of smaller (thus likely more maneuverable) C. carcharias could have increased competition for prey consumed also by the presumably less agile †O. megalodon. Because the geographic range of †O. megalodon may have been decreasing across the Miocene–Pliocene transition (Pimiento et al., 2016), it is possible that †O. megalodon could have been already in decline before the first dispersal of C. carcharias. It should also be noted that the dispersal of C. carcharias from its Pacific stock was likely diachronous worldwide (see Boessenecker et al., 2019; Collareta et al., 2023b), suggesting that competitive exclusion may have been at play at different times in different regions of the global ocean. Furthermore, possible interactions of †O. megalodon with other contemporaneous large marine vertebrates, such as odontocetes as well as other sharks (including †Parotodus benedenii, another otodontid lamniform that likely reached at least 5 m TL [Shimada et al., 2021a, table 3] and possibly as much as 7.6 m TL [Kent, 1999; Collareta et al., 2023a]), should be explored. Nevertheless, besides the fact that the fossil record of †O. megalodon ends shortly after the emergence of C. carcharias (Boessenecker et al., 2019), it is noteworthy that this competitive exclusion scenario does have geochemical support (McCormack et al., 2022).
CONCLUSIONS
This study indicates that the individual of †Otodus megalodon from the Miocene of Belgium represented by IRSNB P 9893 (with a maximum vertebral diameter of 15.5 cm) possibly measured about 16.4 m TL and weighed around 30 t. Although highly inferential, this study also shows that †O. megalodon could have attained at least about 24.3 m TL and weighed about 94 t based on the gigantic vertebral specimen from the Miocene of Denmark reported by Bendix-Almgreen (1983). It must be emphasized that these TL estimates are based on a new method that is completely independent of the traditional tooth-based approach and does not assume Carcharodon carcharias as a modern analog like the previous studies (e.g., Randall, 1973; Gottfried et al., 1996; Shimada, 2003, 2019; Reolid and Molina, 2015; Razak and Kocsis, 2018; Cooper et al., 2020, 2022; Perez et al., 2021).
Our cluster analysis conducted on three body part proportions (NP, TP, and CP: Figure 2) suggests that the body form of †Otodus megalodon could have indeed been slenderer than the previous reconstructions of the fossil shark (e.g., Gottfried et al., 1996; Cooper et al., 2020, 2022). Our allometric analysis (Figure 4) further shows that sharks with positive allometric growth, such as Lamna nasus and Carcharodon carcharias, likely cannot achieve gigantism, whereas sharks that achieve large or gigantic sizes (Cetorhinus, Megachasma, Rhincodon, and Somniosus) have body forms that conform to those of most large cetaceans with high fineness ratios. Although body forms of previous †O. megalodon reconstructions are still theoretically possible, our study suggests that they would have been hydrodynamically challenged and could not have resulted in an efficient swimmer at the body size values typical of adult †O. megalodon. On the other hand, the trend seen across Cetorhinus, Megachasma, Rhincodon, and Somniosus (Figure 4C) indicates that †O. megalodon could have grown gigantic (e.g., 24.3 m TL) while still maintaining hydrodynamic efficiency as in gigantic cetaceans such as Balaenoptera spp. Our study suggests that giant †O. megalodon possibly had a fineness ratio of about 6 (Figure 5C), supporting the general conclusion made by Sternes et al. (2024) that †O. megalodon must have had a slenderer body compared to C. carcharias and other lamnids. As a matter of fact, there is currently no evidence whatsoever that †O. megalodon resembled C. carcharias on which the previous reconstructions were mostly based (e.g., Gottfried et al., 1996; Cooper et al., 2020, 2022).
Our study based on IRSNB P 9893 suggests that the size at birth of †Otodus megalodon was about 3.6–3.9 m TL, quite possibly marking the largest neonate size in the evolutionary history of fishes. The large neonate size strongly supports the interpretation that †O. megalodon was ovoviviparous where embryos likely exhibited oophagous intrauterine cannibalism for nourishment before their birth. Although purely inferential based on extant lamniforms, the estimated size at sexual maturity of female †O. megalodon was possibly somewhere between 8 and 19.5 m TL. If taken at face value, our VBGF analysis based on the growth bands observed in IRSNB P 9893 implies that the ontogenetic growth of †O. megalodon was overall slow and relatively steady to attain the mean maximum theoretical length, where our estimated maximum TL of 24.3 m TL would place the shark to be about 83 years old. However, a slight decrease in growth rate was noted at about age 7 from 37.4 cm/yr to 26.5 cm/yr on average. Where its large size at birth offers not only a low predation risk, which seems to further refute the idea that neonate †O. megalodon utilized nursery areas (Shimada et al., 2022; vs. Pimiento et al., 2010; Herraiz et al., 2020), but also a high competitive advantage already capable of feeding on marine mammals, this decrease in growth rate marks the time when the shark had reached slightly over 6 m TL (Table 4; Figure 6B). This size coincides well with the general size limit of 7 m TL in macrophagous lamniforms (Shimada et al., 2021a), including the precursor of Carcharodon carcharias via †C. hubbelli, †C. hastalis, which lived contemporaneously alongside †O. megalodon during the Middle–Late Miocene. Whereas the teeth of †C. hastalis are unserrated, †C. hubbelli and C. carcharias acquired serrations and eventually also modified the shape of the upper third tooth (“intermediate tooth row”), resulting in a uniquely-derived mesially directed cusp–traits that appear to be associated with feeding upon large marine mammals (e.g., Martin et al., 2005; Ehret et al., 2012). Therefore, the observed growth pattern of †O. megalodon based on IRSNB P 9893 is that it seems to have developed faster during the first seven years or so to “outgrow” the typical maximum size range of Carcharodon to reduce competition during the Middle–Late Miocene. However, supporting an idea previously proposed based on biostratigraphic (Boessenecker et al., 2019) and geochemical (McCormack et al., 2022) evidence, the evolution of serrated Carcharodon around the Miocene-Pliocene transition could have led to increased competition for marine mammals between †O. megalodon and Carcharodon, where agile C. carcharias could have contributed to the decline of the less maneuverable †O. megalodon through competitive exclusion.
The paleobiological interpretations of †Otodus megalodon presented in this study must be viewed as working hypotheses. The fact is that the present fossil record still does not reveal exactly how large †O. megalodon was beyond the 11.1 m partial vertebral column (IRSNB P 9893; Figure 1B) or what exactly †O. megalodon looked like. It should be added that, in reality, even the taxonomic identity of IRSNB P 9893 as †O. megalodon remains inferential because it was not associated with any teeth (see Gottfied et al., 1996). Arguably, the next best specimen of †O. megalodon is that from the Miocene of Japan consisting of associated teeth, fragments of tessellated calcified cartilage, and placoid scales (Uyeno et al., 1989; Shimada et al. 2024a, 2024b); however, it does not come with any vertebrae. Therefore, the discovery of more and better-preserved skeletal remains of †O. megalodon, preferably with associated teeth and other anatomical elements, is needed to empirically address issues concerning its body size and body form.
In the context of estimating the maximum body size of †Tyrannosaurus rex, Mallon and Hone (2024, p. 8) stated that “There is, inevitably, great popular and scientific interest in the extremes of large body size” (see also Gayford et al., 2024b). This present study is no exception where we presented the estimated maximum possible TL of †Otodus megalodon by noting the importance of deciphering the body size of large extinct animals in the context of ecology and evolution. However, the primary purpose of this study was to reassess the basic biology of †O. megalodon in hopes of clarifying some existing misunderstandings or misconceptions about the fossil shark. Similar to Mallon and Hone’s (2024, p. 8) sentiment, we note that the rigid pursuit to determine popular questions among the general public as to exactly how large †O. megalodon could have grown or how exactly it compared to (or if it was “stronger” than), for example, †Livyatan melvillei (a gigantic contemporaneous toothed whale) is not necessarily productive, particularly given the limited number of meaningful †O. megalodon fossils. Such a quest can obscure more interesting or important scientific questions stemming from the great diversity and evolutionary history of sharks and all other coexisting organisms. This is particularly true because, if interpreted correctly, understanding the mechanisms and consequences of evolution and extinction of prehistoric organisms, including †O. megalodon, will allow us to make predictions about how present-day organisms may respond to major shifts in climate, environment, and biodiversity that are critical for conservation biology of living species, including ecologically critical sharks (e.g., Pimiento and Antonelli, 2022, and references therein; Dedman et al., 2024; Dulvy et al., 2024).
ACKNOWLEDGMENTS
We (especially KS, JJW, and PCS) sincerely thank the following individuals in the 15 repository institutions who were involved in loaning us the specimens and/or providing us their data, photographs, and/or radiographic data used in this study: A. Folie, S. Beaudart, C. Cousin, J. Lalanne, and U. Lefèvre (IRSNB), J. Lundberg, M. Sabaj Pérez, M. Arce, K. Luckenbill (ANSP), A. Suzumoto (BPBM), A. Graham (CISRO), M.A. Rogers, M. Westneat, P. Willink, K. Swagel, C. McMahan (FMNH), L. Page, R. Robins (UF), K. Nakaya (HUMZ), K. Hartel, A. Williston (MCZ), J. Finan, L. Palmer, S. Raredon, S. Smith, E. Wilbur, D. Pitassy, J. Williams (USNM), J. Seigel, W. Ludt, T. Clardy (LACM), H.J. Walker, C. Klepadlo, B. Frable, P. Hastings (SIO), D. Nelson (UMMZ), G. Watkins-Colwell (YMP), T. Weddehage (ZMH), P. Møller, E. Winkel, and H. Lauridsen (ZMUC). We also thank the following additional individuals who helped us acquire radiographic data and images of certain preserved specimens: C.K. Rigsby, A.C. Nicholas, K. Gray, B. Karl, J. Hickey (Children’s Memorial Hospital, Chicago, Illinois), M. Quintanar, and O. Bernal (University of California at San Diego). We appreciate comments and suggestions made by two anonymous reviewers that significantly improved the quality of this paper. We acknowledge that not everyone (AC, MS) considers the megatooth species to belong to the genus †Otodus but to another otodontid genus †Carcharocles; however, this generic interpretation difference does not affect the content expressed in this paper.
FUNDING
AC acknowledges financial support by the European Union – NextGenerationEU, Mission 4, Component 2 CUP I53D23002070 006, Project Title: BIOVERTICES (BIOdiversity of VERTebrates In the CEnozoic Sea); MB acknowledges a Wallenberg Foundation Postdoctoral Scholarship KAW 2022.0330; JK acknowledges financial support by the Austrian Science Fund (FWF) [Grant DOI: 10.55776/P33820].
REFERENCES
Aguilera, O.A., García, L., and Cozzuol, M.A. 2008. Giant-toothed white sharks and cetacean trophic interaction from the Pliocene Caribbean Paraguaná Formation. Paläontologische Zeitschrift, 82:204–208.
https://doi.org/10.1007/BF02988410
Ahlborn, B.K., Blake, R.W., and Chan, K.H.S. 2009. Optimal fineness ratio for minimum drag in large whales. Canadian Journal of Zoology, 87(2):124–131.
https://doi.org/10.1139/Z08-144
Aoki, K., Amano, M., Sugiyama, N., Muramoto, H., Suzuki, M., Yoshioka, M., Mori, K., Tokuda, D., Miyazaki, N. 2007. Measurement of swimming speed in sperm whales. Symposium on Underwater Technology and Workshop on Scientific Use of Submarine Cables and Related Technologies, Tokyo, Japan, p. 467–471.
https://doi.org/10.1109/UT.2007.370754
Aoki, K., Amano, M., Mori, K., Kourogi, A., Kubodera, T., and Miyazaki, N. 2012. Active hunting by deep-diving sperm whales: 3D dive profiles and maneuvers during bursts of speed. Marine Ecology Progress Series, 444:289–301.
https://doi.org/10.3354/meps09371
Applegate, S.P. and Espinosa-Arrubarrena, L. 1996. The fossil history of Carcharodon and its possible ancestor, Cretolamna: a study in tooth identification, p. 19–36. In Klimley, A.P. and Ainley, D.G. (eds.), Great White Sharks: The Biology of Carcharodon carcharias. Academic Press, San Diego, California.
Ballell, A. and Ferrón, H.G. 2021. Biomechanical insights into the dentition of megatooth sharks (Lamniformes: Otodontidae). Scientific Reports, 11:1232.
https://doi.org/10.1038/s41598-020-80323-z
Bendix-Almgreen, S.E. 1982. Stor, Større – Carcharodon megalodon en ganske særlig hajtand fra Gram-leret. Nordslesvigske Museer, 9:15–37.
Bendix-Almgreen, S.E. 1983. Carcharodon megalodon from the Upper Miocene of Denmark, with comments on elasmobranch tooth enameloid: coronoi'n. Bulletin of the Geological Society of Denmark, 32:1–32.
Bergmann, C. 1847. Über die Verhältnisse der Wärmeökonomie der Thiere zu ihrer Grösse. Göttinger Studien, 3:595–708.
Bertalanffy L. von. 1938. A quantitative theory of organic growth (inquiries on growth laws II). Human Biology, 10:181–213.
Bianucci, G., Sorce, B., Storai, T., and Landini, W. 2010. Killing in the Pliocene: shark attack on a dolphin from Italy. Palaeontology, 53:457–470.
https://doi.org/10.1111/j.1475-4983.2010.00945.x
Bianucci, G., Collareta, A., Bosio, G., Landini, W., Gariboldi, K., Gioncada, A., Lambert, O., Malinverno, E., de Muizon, C., Varas-Malca, R., Villa, I.M., Coletti, G., Urbina, M., and Di Celma, C. 2018. Taphonomy and palaeoecology of the lower Miocene marine vertebrate assemblage of Ullujaya (Chilcatay Formation, East Pisco Basin, southern Peru). Palaeogeography, Palaeoclimatology, Palaeoecology, 51:256–279.
https://doi.org/10.1016/j.palaeo.2018.08.013
Boessenecker, R.W., Ehret, D.J., Long, D.J., Churchill, M., Martin, E., and Boessenecker, S.J. 2019. The early Pliocene extinction of the mega-toothed shark Otodus megalodon: a view from the eastern North Pacific. PeerJ, 7:e6088.
https://doi.org/10.7717/peerj.6088
Bosio, G., Collareta, A., Di Celma, C., Lambert, O., Marx, F.G., de Muizon, C., Gioncada, A., Gariboldi, K., Malinverno, E., Malca, R.V., Urbina, M., and Bianucci, G. 2021. Taphonomy of marine vertebrates of the Pisco Formation (Miocene, Peru): Insights into the origin of an outstanding Fossil-Lagerstätte. PLoS ONE, 16(7):e0254395.
https://doi.org/10.1371/journal.pone.0254395
Breder, C.M. 1926. The locomotion of fishes. Zoologia, 4:159–297.
Brown, J.H. and Sibly, R.M. 2006. Life-history evolution under a production constraint. Proceedings of the National Academy of Sciences, 103:17595–17599.
https://doi.org/10.1073/pnas.0608522103
Cailliet, G.M. and Goldman, K.J. 2004. Age determination and validation in chondrichthyan fishes, p. 339‒447. In Carrier, J.C., Musick, J.A., and Heithaus, M.R. (eds.), The Biology of Sharks and Their Relatives. CRC Press, Boca Raton, Florida.
Cappetta, H. 1980. Les Sélaciens du Crétacé supérieur du Liban. I: Requins. Palaeontographica Abteilung A, 168(1–4):69–148.
Cappetta, H. 2012. Chondrichthyes. Mesozoic and Cenozoic Elasmobranchii: teeth, p. 1‒512. In Schultze, H.-P. (ed.), Handbook of Paleoichthyology, Volume 3E. Verlag Dr. Friedrich Pfeil, Munich.
Castro, J.I. 2012. A summary of observations on the maximum size attained by the white shark, Carcharodon carcharias; p. 85–90. In Domeier, M.L. (ed.), Global Perspectives on the Biology and Life History of the White Shark. CRC Press: Boca Raton, Florida.
Cigala-Fulgosi, F. 1990. Predation (or possible scavenging) by a great white shark on an extinct species of bottlenose dolphin in the Italian Pliocene. Tertiary Research, 12(1):17–36.
Cohen, J.E., Pimm, S.L., Yodzis, P., and Saldaña, J. 1993. Body sizes of animal predators and animal prey in food webs. Journal of Animal Ecology, 62(1):67–78.
https://doi.org/10.2307/5483
Collareta, A., Lambert, O., Landini, W., Di Celma, C., Malinverno, E., Varas-Malca, R., Urbina, M., and Bianucci, G. 2017a. Did the giant extinct shark Carcharocles megalodon target small prey? Bite marks on marine mammal remains from the late Miocene of Peru. Palaeogeography, Palaeoclimatology, Palaeoecology, 469:84–91.
https://doi.org/10.1016/j.palaeo.2017.01.001
Collareta, A., Landini, W., Chacaltana, C., Valdivia, W., Altamirano-Sierra, A., Urbina-Schmitt, M., and Bianucci, G. 2017b. A well preserved skeleton of the fossil shark Cosmopolitodus hastalis from the late Miocene of Peru, featuring fish remains as fossilized stomach contents. Rivista Italiana di Paleontologia e Stratigrafia, 123 (2017):11–22.
https://doi.org/10.13130/2039-4942/8005
Collareta, A., Casati, S., and Di Cencio, A. 2023a. The palaeobiology of the false mako shark, Parotodus benedenii (Le Hon, 1871): a view from the Pliocene Mediterranean Sea. Journal of Marine Science and Engineering, 11(10):1990.
https://doi.org/10.3390/jmse11101990
Collareta, A., Casati, S., Di Cencio, A., and Bianucci, G. 2023b. The deep past of the white shark, Carcharodon carcharias, in the Mediterranean Sea: a synthesis of its palaeobiology and palaeoecology. Life, 13(10):2085.
https://doi.org/10.3390/life13102085
Compagno, L.J.V. 1988. Sharks of the Order Carcharhiniformes. Blackburn Press, Caldwell, New Jersey, 486 p.
Compagno, L.J.V. 1990. Relationships of the megamouth shark, Megachasma pelagios (Lamniformes: Megachasmidae), with comments on its feeding habits. National Oceanic and Atmospheric Administration Technical Report, National Marine Fisheries Service, 90:357–379.
Condamine, F.L., Romieu, J., and Guinot, G. 2019. Climate cooling and clade competition likely drove the decline of lamniform sharks. Proceedings of the National Academy of Sciences, 116:20584–20590.
https://doi.org/10.1073/pnas.1902693116
Cooper, J.A., Pimiento, C., Ferrόn, H.G., and Benton, M.J. 2020. Body dimensions of the extinct megatooth shark Otodus megalodon: a 2D reconstruction. Scientific Reports, 10:14596.
https://doi.org/10.1038/s41598-020-71387-y
Cooper, J.A., Hutchinson, J.R., Bernvi, D.C., Cliff, G., Wilson, R.P., Dicken, M.L., Menzel, J., Wroe, S, Pirlo, J., and Pimiento, C. 2022. The extinct shark Otodus megalodon was a transoceanic superpredator: Inferences from 3D modeling. Science Advances, 8:eabm9424.
https://doi.org/10.1126/sciadv.abm9424
Crawford, C. 2014. Skeletal anatomy in the chondrichthyan tree of life. Unpublished Master’s Thesis, College of Charleston, Charleston, South Carolina, 128 pp.
Dedman, S., Moxley, J.H., Papastamatiou, Y.P., Braccini, M., Caselle, J.E., Chapman, D.D., Cinner, J.E., Dillon, E.M., Dulvy, N.K., Dunn, R.E., Espinoza, M., Harborne, A.R., Harvey, E.S., Heupel, M.R., Huveneers, C., Graham, N.A.J., Ketchum, J.T., Klinard, N.V., Kock, A.A., Lowe, C.G., MacNeil, M.A., Madin, E.M.P., McCauley, D.J., Meekan, M.G., Meier, A.C., Simpfendorfer, C.A., Tinker, M.T., Winton, M., Wirsing, A.J., and Heithaus, M.R. 2024. Ecological roles and importance of sharks in the Anthropocene Ocean. Science, 385(6708):2362.
https://doi.org/10.1126/science.adl2362
Denton, J.S.S., Maisey, J.G., Grace, M., Pradel, A., Doosey, M.H., Bart, H.L., and Naylor, G.J.P. 2018. Cranial morphology in Mollisquama sp. (Squaliformes; Dalatiidae) and patterns of cranial evolution in dalatiid sharks. Journal of Anatomy, 233:15–52.
https://doi.org/10.1111/joa.12823
de Oliveira Lana, F., Soares, K.D.A., Hazin, F.H.V., and Gomes, U.L. 2021. Description of the chondrocranium of the silky shark Carcharhinus falciformis with comments on the cranial terminology and phylogenetic implications in carcharhinids (Chondrichthyes, Carcharhiniformes, Carcharhinidae). Journal of Morphology, 282:685–700.
https://doi.org/10.1002/jmor.21339
Dolton, H.R., Jackson, A.L., Deaville, R., Hall, J., Hall, G., McManus G., Perkins, M.R., Rolfe, R.A., Snelling, E.P., Houghton, J.D.R., Sims, D.W., and Payne, N.L. 2023. Regionally endothermic traits in the planktivorous basking sharks Cetorhinus maximus. Endangered Species Research, 51:227–232.
https://doi.org/10.3354/esr01257
Duffin, C.J. 1988. The Upper Jurassic selachian Palaeocarcharias de Beaumont (1960). Zoological Journal of the Linnean Society, 94:271–286.
https://doi.org/10.1111/j.1096-3642.1988.tb01196.x
Dulvy, N.K., Pacoureau, N., Matsushiba, J.H., Yan, H.F., VanderWright, W.J., Rigby, C.L., Finucci, B., Sherman, C.S., Jabado, R.W., Carlson, J.K., Pollom, R.A., Charvet, P., Pollock, C.M., Hilton-Taylor, C., and Simpfendorfer, C.A. 2024. Ecological erosion and expanding extinction risk of sharks and rays. Science. 386:eadn1477.
https://doi.org/10.1126/science.adn1477
Ebert, D.A. 2014. On board guide for the identification of pelagic sharks and rays: Western Indian Ocean. Food and Agriculture Organization, Rome.
Ebert, D.A., Dando, M., and Fowler, S. 2021. Sharks of the World: A Complete Guide. Princeton University Press, Princeton, New Jersey, 607 p.
Ehret, D.J., Hubbell, G., and MacFadden, B.J. 2009a. Exceptional preservation of the white shark Carcharodon (Lamniformes, Lamnidae) from the early Pliocene of Peru. Journal of Vertebrate Paleontology, 29:1–13.
https://doi.org/10.1671/039.029.0113
Ehret, D.J., MacFadden, B.J., and Salas-Gismondi, R. 2009b. Caught in the act: trophic interactions between a 4-million-year-old white shark (Carcharodon) and mysticete whale from Peru. Palaios, 24:329–333.
https://doi.org/10.2110/palo.2008.p08-077r
Ehret, D.J., MacFadden, B.J., Jones, D.S., Devries, T.J., Foster, D.A., and Salas-Gismondi, R. 2012. Origin of the white shark Carcharodon (Lamniformes: Lamnidae) based on recalibration of the Upper Neogene Pisco Formation of Peru. Palaeontology, 55:1139‒1153.
https://doi.org/10.1111/j.1475-4983.2012.01201.x
Ehret, D.J., Tennyson, A.J., Richards, M.D., and Boessenecker, R.W. 2024. First records of two mackerel shark species (Carcharodon planus comb. nov. and Carcharodon hubbelli; Lamnidae) from New Zealand. Journal of the Royal Society of New Zealand, 54:609–619.
https://doi.org/10.1080/03036758.2023.2278730
Estrada, J.A., Rice, A.N., Natanson, L.J., and Skomal, G.B. 2006. Use of isotopic analysis of vertebrae in reconstructing ontogenetic feeding ecology in white sharks. Ecology, 87:829–834.
https://doi.org/10.1890/0012-9658(2006)87[829:UOIAOV]2.0.CO;2
Ferrón, H. 2017. Regional endothermy as a trigger for gigantism in some extinct macropredatory sharks. PLoS ONE 12:e0185185.
https://doi.org/10.1371/journal.pone.0185185
Fish, F.E. and Rohr, J.J. 1999. Review of dolphin hydrodynamics and swimming performance. Space and Naval Warfare Systems Command Technical Report 1801, San Diego.
Fish, E.F., Howle, L.E., and Murray, M.M. 2008. Hydrodynamic flow control in marine mammals. Integrative and Comparative Biology, 48:788–800.
https://doi.org/10.1093/icb/icn029
Freschi, A. and Cau, S. 2024. Tooth marks of the great white shark from a Pliocene outcrop of the northern Apennines (Castell'Arquato, Italy). Carnets Geol, 24(8):135–141.
https://doi.org/10.2110/carnets.2024.2408
Gayford, J.H., Brazeau, M.D., Naylor, G.J.P. 2024a. Evolutionary trends in the elasmobranch neurocranium. Scientific Reports, 14(1):11471.
https://doi.org/10.1038/s41598-024-62004-3
Gayford, J.H., Engelman, R.K., Sternes, P.C., Itano, W.M., Bazzi, M., Collareta, A., Salas-Gismondi, R., and Shimada, K. 2024b. Cautionary tales on the use of proxies to estimate body size and form of extinct animals. Ecology and Evolution, 14, e70218.
https://doi.org/10.1002/ece3.70218
Gilmore, R.G., Putz, O., and Dodrill, J.W. 2005. Oophagy, intrauterine cannibalism and reproductive strategy in lamnoid sharks; p. 435‒462. In Hamlett, W.C. (ed.), Reproductive Biology and Phylogeny of Chondrichthyes. Science Publishers, Enfield, New Hampshire.
Gleiss, A.C., Norman, B., Wilson, R.P. 2011. Moved by that sinking feeling: variable diving geometry underlies movement strategies in whale sharks. Functional Ecology, 25:595–607.
https://doi.org/10.1111/j.1365-2435.2010.01801.x
Gleiss, A.C., Potvin, J., and Goldbogen, J.A. 2017. Physical trade-offs shape the evolution of buoyancy control in sharks. Proceedings of the Royal Society B, 284:20171345.
https://doi.org/10.1098/rspb.2017.1345
Godfrey, S., Ellwood, M., Groff, S., and Verdin, M. 2018. Carcharocles-bitten odontocete caudal vertebrae from the coastal eastern United States. Acta Palaeontologica Polonica, 63:463–468.
https://doi.org/10.4202/app.00495.2018
Godfrey, S.J. and Lowry, A.J. 2021. The ichnospecies Linichnus bromleyi on a Miocene baleen whale radius preserving multiple shark bite-shake traces suggests scavenging. Carnets Geol., 21(17):391–398.
https://doi.org/10.2110/carnets.2021.2117
Godfrey, S.J. and Beatty, B.L. 2022. A Miocene cetacean vertebra showing a partially healed longitudinal shear-compression fracture, possibly the result of domoic acid toxicity or failed predation. Palaeontologia Electronica, 25(3):a28.
https://doi.org/10.26879/1171
Godfrey, S.J., Nance, J.R., and Riker, N.L. 2021. Otodus-bitten sperm whale tooth from the Neogene of the Coastal Eastern United States. Acta Palaeontologica Polonica, 66:599–603.
https://doi.org/10.4202/app.00820.2020
Godfrey, S.J., Murdoch, P., Dewaele, L., Perez, V.J., and Schumaker, C. 2024. First report in the fossil record of a shark tooth embedded in a pinniped bone, Comptes Rendus Palevol, 23(8):107–118.
https://doi.org/10.5852/cr-palevol2024v23a8
Goldman, K.J., Cailliet, G.M., Andrews, A.H., and Natanson, L.J. 2012. Assessing the age and growth of chondrichthyan fishes, p. 31–57. In Carrier, J.C., Musick, J.A., and Heithaus, M.R. (eds.), Biology of Sharks and Their Relatives, second edition. CRC Press, Boca Raton, Florida.
Goto, M. 1989. A restoration of the jaws of the giant extinct shark Carcharocles (Carcharodon) megalodon. Journal of Fossil Research, 22:7–13.
Goto, T. 2001. Comparative anatomy, phylogeny and cladistic classification of the order Orectolobiformes (Chondrichthyes, Elasmobranchii). Memoirs of the Graduate School of Fisheries Sciences (Hokkaido University, Sapporo, Japan), 48:1–100.
Goto, M., Tanabe, T., and Yoshikawa, H. 1993. On the fossil teeth of the lamnoid sharks from the Shigarami Formation (Neogene) in the north part of Nagano Prefecture, central Japan. Earth Science (Chikyu Kagaku), 47:507–518.
https://doi.org/10.15080/agcjchikyukagaku.47.6_507
Gottfried, M.D., Compagno, L.J.V., and Bowman, S.C. 1996. Size and skeletal anatomy of the giant megatooth shark Carcharodon megalodon, p. 55–66. In Klimley, A.P. and Ainley, D.G. (eds.), Great White Sharks: The Biology of Carcharodon carcharias. Academic Press, San Diego, California.
Gough, W.T., Smith, H.J., Savoca, M.S., Czapanskiy, M.F., Fish, F.E., Potvin, J., Bierlich, K.C., Cade, D.E., Di Clemente, J., Kennedy, J., Segre, P., Stanworth, A., Weir, C., Goldbogen, J.A. 2021. Scaling of oscillatory kinematics and Froude efficiency in baleen whales. Journal of Experimental Biology, 224(13):jeb237586.
https://doi.org/10.1242/jeb.237586
Griffiths, M.L., Eagle, R.A., Kim, S.L., Flores, R.J., Becker, M.A., Maisch IV, H.M., Trayler, R.B., Chan, R.L., McCormack J., Akhtar, A.A., Tripati, A.K., and Shimada, K. 2023. Endothermic physiology of extinct megatooth sharks. Proceedings of the National Academy of Sciences, 120:e221815312.
https://doi.org/10.1073/pnas.2218153120
Guinot, G., Vullo, R., Peyer, K., and Reneleau, V. 2025. An articulated skeleton of the neoselachian shark Palaeocarcharias from the Late Jurassic Canjuers Lagerstätte (southeastern France). Annales de Paléontologie, 111(1):102738.
https://doi.org/10.1016/j.annpal.2024.102738
Hain, J.H., Carter, G.R., Kraus, S.D., Mayo, C.A., and Winn, H.E. 1982. Feeding behavior of the humpback whale, Megaptera novaeangliae, in the western North Atlantic. Fishery Bulletin, 80(2):259–268.
Hain, J.H., Hampp, J.D., McKenney, S.A., Albert, J.A., and Kenney, R.D. 2013. Swim speed, behavior, and movement of North Atlantic right whales (Eubalaena glacialis) in coastal waters of northeastern Florida, USA. PLoS ONE, 8(1):e54340.
https://doi.org/10.1371/journal.pone.0054340
Hammer, Ø., Harper, D.A.T., and Ryan, P.D. 2001. PAST: paleontological statistical software package for education and data analysis. Paleontologia Electronica, 4(1):1–9.
https://palaeo-electronica.org/2001_1/past/issue1_01.htm
Harry, A.V. 2018. Evidence for systemic age underestimation in shark and ray ageing studies. Fish and Fisheries, 19:185–200.
https://doi.org/10.1111/faf.12243
Healy, K., McNally, L., Ruxton, G.D., Cooper, N., and Jackson, A.L. 2013. Metabolic rate and body size are linked with perception of temporal information. Animal Behaviour, 86:685–696. https://doi.org/10.1016/j.anbehav.2013.06.018
Herraiz, J.L., Ribé, J., Botella, H., Martínez-Pérez, C., and Ferrón, H.G. 2020. Use of nursery areas by the extinct megatooth shark Otodus megalodon (Chondrichthyes: Lamniformes). Biology Letters, 16:20200746.
https://doi.org/10.1098/rsbl.2020.0746
Hone, D.W. and Benton, M.J. 2005. The evolution of large size: how does Cope’s Rule work? Trends in Ecology and Evolution, 20:4–6.
https://doi.org/10.1016/j.tree.2004.10.012
Hunt, E., Bradford, R.W., Booth, D.J., Doak, C., Patterson, T.A., and Peddemors, V.M. 2024. Ontogenetic change in body shape for white sharks, Carcharodon carcharias, in Australian waters. Journal of Fish Biology, 1–13.
https://doi.org/10.1111/jfb.16016
Hussey, N.E., McCann, H.M., Cliff, G., Dudley, S.F., Wintner, S.P., and Fisk, A.T. 2012. Size-based analysis of diet and trophic position of the white shark (Carcharodon carcharias) in South African waters, p. 27–49. In Domeier, M.L. (ed.), Global Perspectives on the Biology and Life History of the White Shark. CRC Press, Boca Raton, Florida.
Jacobs, P.K. and Shimada, K. 2018. Ontogenetic growth pattern of the extant smalltooth sandtiger shark, Odontaspis ferox (Lamniformes: Odontaspididae)–application from and to paleontology. Journal of Fossil Research, 51(1):23–29.
Jacoby, D.M.P., Siriwat, P., Freeman, R., and Carbone, C. 2016. Scaling of swim speed in sharks: a reply to Morrison (2016). Biology Letters 12:20160502.
https://doi.org/10.1098/rsbl.2016.0502
Jambura, P.L. and Kriwet, J. 2020. Articulated remains of the extinct shark Ptychodus (Elasmobranchii, Ptychodontidae) from the Upper Cretaceous of Spain provide insights into gigantism, growth rate and life history of ptychodontid sharks. PLoS One, 15(4):e0231544.
https://doi.org/10.1371/journal.pone.0231544
Jambura, P.L., Kindlimann, R., López-Romero, F., Marramà, G., Pfaff, C., Stumpf, S., Türtscher, J., Underwood, C.J., Ward, D.J., and Kriwet, J. 2019. Micro-computed tomography imaging reveals the development of a unique tooth mineralization pattern in mackerel sharks (Chondrichthyes; Lamniformes) in deep time. Scientific Reports, 9:9652.
https://doi.org/10.1038/s41598-019-46081-3
Jambura, P.L., Villalobos-Segura, E., Türtscher, J., Begat, A., Staggl, M.A., Stumpf, S., Kindlimann, R., Klug, S., Lacombat, F., Pohl, B., Maisey, J.G., Naylor, G.J.P., and Kriwet, J. 2023. Systematics and phylogenetic interrelationships of the enigmatic Late Jurassic shark Protospinax annectans Woodward, 1918 with comments on the shark-ray sister group relationship. Diversity, 15(3):311.
https://doi.org/10.3390/d15030311
Kai, M. and Fujinami, Y. 2020. Estimation of mean movement rates for blue sharks in the northwestern Pacific Ocean. Animal Biotelemetry 8:35.
https://doi.org/10.1186/s40317-020-00223-x
Kast, E.R., Griffiths, M.L., Kim, S.L., Rao, Z.C., Shimada, K., Becker, M.A., Maisch, H.M., Eagle., R.A., Clarke, C.A., Neumann, A.N., Karnes, M.E., Lüdecke, T., Leichliter, J.N., Martínez-García, A., Akhtar, A.A., Wang, X.T., Haug, G.H., and Sigman, D.M. 2022. Cenozoic megatooth sharks occupied extremely high trophic positions. Science Advances, 8:eabl6529.
https://doi.org/10.1126/sciadv.abl6529
Kent, B.W. 1999. Speculations on the size and morphology of the extinct lamnoid shark, Parotodus benedeni (Le Hon). Mosasaur, 6:11–15.
Kent, B.W. 2018. The cartilaginous fishes (chimaeras, sharks, and rays) of Calvert Cliffs, Maryland, USA, p. 45–157. In Godfrey, S.J. (ed.), The Geology and Vertebrate Paleontology of Calvert Cliffs, Maryland. Smithsonian Scholarly Press. Washington, D.C.
Kim, S.W., Yuen, A.H.L., Poon, C.T.C., Hwang, J.O., Lee, C.J., Oh, M.-K., Kim, K.T., Kim, H.J., Giri, S.S., Kim, S.G., Kwon, J., Lee, S.B., Choi, M.C., and Park, S.C. 2021. Cross-sectional anatomy, computed tomography, and magnetic resonance imaging of the banded houndshark (Triakis scyllium). Scientific Reports, 11:1165.
https://doi.org/10.1038/s41598-020-80823-y
Klimley, A.P. 1985. The areal distribution and autoecology of the white shark, Carcharodon carcharias, off the west coast of North America. Memoirs of the Southern California Academy of Sciences, 9:15–40.
Klimley, A.P. 1994. The predatory behavior of the white shark. American Scientist, 82:122–133.
Klug, S. 2010. Monophyly, phylogeny and systematic position of the †Synechodontiformes (Chondrichthyes, Neoselachii). Zoologica Scripta, 39:37–49.
https://doi.org/10.1111/j.1463-6409.2009.00399.x
Kram, R. and Taylor, C. 1990. Energetics of running: a new perspective. Nature, 346:265–267.
https://doi.org/10.1038/346265a0
Kriwet, J. and Klug, S. 2004. Late Jurassic selachians (Chondrichthyes, Elsamobranchii) from southern Germany: re-evaluation on taxonomy and diversity. Zitteliana A, 44:67–95.
https://doi.org/10.5282/ubm/epub.11945
Landemaine, O., Thies, D., Waschkewitz, J. 2018. The Late Jurassic shark Palaeocarcharias (Elasmobranchii, Selachimorpha) – functional morphology of teeth, dermal cephalic lobes and phylogenetic position. Palaeontographica Abteilung A, 312:103–165.
https://doi.org/10.1127/0375-0442/2018/0000/0085
Lauder, G.V. and Di Santo V. 2015. Swimming mechanics and energetics of elasmobranch fishes. Fish Physiology, 34:219‒253.
https://doi.org/10.1016/B978-0-12-801289-5.00006-7
Leriche, M. 1926. Les poissons Néogènes de la Belgique. IV. Les poissons Néogènes. Mémoires du Musée royal d’Histoire naturelle de Belgique, 32:367–472.
Long, D.J. and Jones, R.E. 1996, White shark predation and scavenging on cetaceans in the eastern North Pacific Ocean, p. 293–307. In Klimley, A.P. and Ainley, D.G. (eds.), Great White Sharks: The Biology of Carcharodon carcharias. Academic Press, San Diego, California.
Long, D.J., Hanni, K.D., Pyle, P., Roletto, J., Jones, R.E., and Bandar. R. 1996. White shark predation on four pinniped species in central California waters: geographic and temporal patterns inferred from wounded carcasses, p. 263–274. In Klimley, A.P. and Ainley, D.G. (eds.), Great White Sharks: The Biology of Carcharodon carcharias. Academic Press, San Diego, California.
Maisey, J.G. 2012. What is an ‘elasmobranch’? The impact of palaeontology in understanding elasmobranch phylogeny and evolution. Journal of Fish Biology, 80:918–951.
https://doi.org/10.1111/j.1095-8649.2012.03245.x
Mallon, J.C. and Hone, D.W.E. 2024. Estimation of maximum body size in fossil species: a case study using Tyrannosaurus rex. Ecology and Evolution, 14:e11658.
https://doi.org/10.1002/ece3.11658
Martin, R.A., Hammerschlag, N., Collier, R.S., and Fallows, C. 2005 Predatory behaviour of white sharks (Carcharodon carcharias) at Seal Island, South Africa. Journal of the Marine Biological Association of the United Kingdom, 85(5):1121–1135.
https://doi.org/10.1017/S002531540501218X
McClain, C.R., Balk, M.A., Benfield, M.C., Branch, T.A., Chen, C., Cosgrove, J., Dove, A.D.M., Gaskins, L., Helm, R.R., Hochberg, F.G., Lee, F.B., Marshall, A., McMurray, S.E., Schanche, C., Stone, S.N., and Thaler, A.D. 2015. Sizing ocean giants: patterns of intraspecific size variation in marine megafauna. PeerJ, 3:e715.
https://doi.org/10.7717/peerj.715
McCormack, J., Griffiths, M.L., Kim, S.L, Shimada, K., Karnes, M., Masich, H., Pederzani, S., Bourgon, N., Jaouen, K., Becker, M.A., Jӧns, N., Sisma-Ventura, G., Straube, N., Pollerspӧck, J., Hublin, J., Eagle, R.A., and Tütken, T. 2022. Trophic position Otodus megalodon and great white sharks through time revealed by zinc isotopes. Nature Communications, 13:2980.
https://doi.org/10.1038/s41467-022-30528-9
McCosker, J.E. 1985. White shark attack behavior: observations of and speculations about predator and prey strategies. Memoirs of the Southern California Academy of Sciences, 9:123–135.
McQuiston, A.D., Crawford, C., Schoepf, U.J., Varga-Szemes, A., Canstein, C., Renker, M., De Cecco, C.N., Baumann, S., and Naylor, G.J.P. 2017. Segmentations of the cartilaginous skeletons of chondrichthyan fishes by the use of state-of-the-art computed tomography. World Journal of Radiology, 9:191–198.
https://doi.org/10.4329/wjr.v9.i4.191
Miklosovic, D.S., Murray, M.M., Howle, L.E., and Fish, F.E. 2004. Leading-edge tubercles delay stall on humpback whale (Megaptera novaeangliae) flippers. Physics of Fluids, 16:L39–L42.
https://doi.org/10.1063/1.1688341
Mizroch, S.A., Rice, D.W., and Breiwick, J.M. 1984a. The blue whale, Balaenoptera musculus. Marine Fisheries Review, 46:15–19.
Mizroch, S.A., Rice, D.W., and Breiwick, J.M. 1984b. The fin whale, Balaenoptera physalus. Marine Fisheries Review, 46:20–24.
Mizroch, S.A., Rice, D.W., and Breiwick, J.M. 1984c. The sei whale, Balaenoptera borealis. Marine Fisheries Review, 46:25–29.
Mollen, F.H., Wintner, S.P., Iglesias, S.P., Van Sommeran, S.R., and Jagt, J.W.M. 2012. Comparative morphology of rostral cartilages in extant mackerel sharks (Chondrichthyes, Lamniformes, Lamnidae) using CT scanning. Zootaxa, 3340:29–43.
https://doi.org/10.11646/ZOOTAXA.3340.1.2
Mollen, F.H., van Bakel, B.W., and Jagt, J.W. 2016. A partial braincase and other skeletal remains of Oligocene angel sharks (Chondrichthyes, Squatiniformes) from northwest Belgium, with comments on squatinoid taxonomy. Contributions to Zoology, 85(2):147–171.
https://doi.org/10.1163/18759866-08502002
Motani, R. 2023. Paleomass for R–Bracketing body volume of marine vertebrates with 3D models. PeerJ, 11:e15957.
https://doi.org/10.7717/peerj.15957
Motani, R. and Pyenson, N.D. 2024. Downsizing a heavyweight: factors and methods that revise weight estimates of the giant fossil whale Perucetus colossus. PeerJ, 12:e16978.
https://doi.org/10.7717/peerj.16978
Muizon, C. de and DeVries, T.J. 1985. Geology and paleontology of late Cenozoic marine deposits in the Sacaco area (Peru). Geologische Rundschau, 74:547–563.
Natanson, L.J. and Deacy, B.M. 2019. Using oxytetracycline validation for confirmation of changes in vertebral band-pair deposition rates with ontogeny in sandbar sharks (Carcharhinus plumbeus) in the western North Atlantic Ocean. Fishery Bulletin, 117:50–58.
https://doi.org/10.7755/FB.117.1.6
Natanson, L.J., Mello, J.J., and Campana, S.E. 2002. Validated age and growth of the porbeagle shark, Lamna nasus, in the western North Atlantic. Fishery Bulletin, 100:266–278.
Natanson, L.J., Kohler, N.E., Ardizzone, D., Cailliet, G.M., Wintner, S.P., and Mollet, H.F. 2006. Validated age and growth estimates for the shortfin mako, Isurus oxyrinchus, in the North Atlantic Ocean. Environmental Biology of Fishes, 77:367‒383.
https://doi.org/10.1007/s10641-006-9127-z
Natanson, L.J., Skomal, G.B., Hoffmann, S.L., Porter, M.E., Goldman, K.J., and Serra, D. 2018. Age and growth of sharks: do vertebral pairs record age? Marine and Freshwater Research, 69:1440–1452.
https://doi.org/10.1071/MF17279
Natanson, L.J., McCandless, C.T., Passerotti, M.S., Belcher, C.N., Bowlby, H., Driggers W.B.III, Frazier, B.S., Gelsleichter, J., Gulak, S.J.B., Hendon, J.M., Hoffmayer, E.R., and Warren, J. 2022. Morphometric conversions for 33 shark species from the Western North Atlantic Ocean. Marine Fisheries Review, 84(3-4):1–65.
https://doi.org/10.7755/mfr.84.3-4.1
Naylor, G.J.P., Caira, J.N., Jensen, K., Rosana, K.A.M., Straube, N., and Lakner, C. 2012. Elasmobranch phylogeny: a mitochondrial estimate based on 595 species, p. 31–57. In Carrier, J.C., Musick, J.A., and Heithaus, M.R. (eds.), The Biology of Sharks and Their Relatives. CRC Press, Boca Raton, Florida.
Nelson, D.R., McKibben, J.N., Strong, W.R., Jr, Lowe, C.G., Sisneros, J.A., Schroeder, D.M., and Lavenberg, R.J. 1997. An acoustic tracking of a megamouth shark, Megachasma pelagios: a crepuscular vertical migrator. Environmental Biology of Fishes, 49:389‒399.
https://doi.org/10.1023/A:1007369619576
Nielsen, J., Hedeholm, R.B., Heinemeier, J., Bushnell, P.G., Christiansen, J.S., Olsen, J., Ramsey, C.B., Brill, R.W., Simon, M., Steffensen, K.F., and Steffensen, J.F. 2016. Eye lens radiocarbon reveals centuries of longevity in the Greenland shark (Somniosus microcephalus). Science 353:702‒704.
https://doi.org/10.1126/science.aaf1703
Oeffner, J. and Lauder, G.V. 2012. The hydrodynamic function of shark skin and two biomimetic applications. Journal of Experimental Biology, 215:785–795.
https://doi.org/10.1242/jeb.063040
Paredes-Aliaga, M.V. and Herraiz, J.L. 2024. Analysing trophic competition in †Otodus megalodon and Carcharodon carcharias through 2D-SEM dental microwear. Spanish Journal of Palaeontology, 39(1):102.
https://doi.org/10.7203/sjp.28830
Passerotti, M.S., Andrews, A.H., Carlson, J.K., Wintner, S.P., Goldman, K.J., and Natanson, L.J. 2014. Maximum age and missing time in the vertebrae of sand tiger shark (Carcharias taurus): validated lifespan from bomb radiocarbon dating in the western North Atlantic and southwestern Indian Oceans. Marine and Freshwater Research, 65:674‒687.
https://doi.org/10.1071/MF13214
Paul, G.S. and Larramendi, A. 2025. Further trimming down the marine heavyweights: Perucetus colossus did not come close to, much less exceed, the tonnage of blue whales, and the latter are not ultra-sized either. Palaeontologia Electronica, 28(1):a6.
https://doi.org/10.26879/1435
Perez, V.J., Godfrey, S.J., Kent, B., Weems, R., and Nance, J. 2019. The transition between Carcharocles chubutensis and Carcharocles megalodon (Otodontidae, Chondrichthyes): lateral cusplet loss through time. Journal of Vertebrate Paleontology, 38:6.
https://doi.org/10.1080/02724634.2018.1546732
Perez, V.J., Leder, R.M., and Badaut, T. 2021. Body length estimation of Neogene macrophagous lamniform sharks (Carcharodon and Otodus) derived from associated fossil dentitions. Palaeontologia Electronica, 24:a09.
https://doi.org/10.26879/1140
Peters, R.H. 1986. The Ecological Implications of Body Size. Cambridge Univ Press, Cambridge, UK.
Pettigrew, J.B. 1874. Animal Locomotion or Walking, Swimming and Flying with a Dissertation on Aëronautics. D. Appleton & Company, New York.
Pfeil, F.H. 2021. The new family Mesiteiidae (Chondrichthyes, Orectolobiformes), based on Mesiteia emiliae Kramberger, 1884: a contribution to the Upper Cretaceous (early Cenomian) shark fauna from Lebanon, p. 101–182. In Pradel, A., Denton, J.S.S., and Janvier, P. (eds.), Ancient Fishes and their Living Relatives: A Tribute to John G. Maisey. Verlag Dr. Friedrich Pfeil, Munich.
Pimiento, C. and Balk, M.A. 2015. Body-size trends of the extinct giant shark Carcharocles megalodon: a deep-time perspective on marine apex predators. Paleobiology, 41:479‒490.
https://doi.org/10.1017/pab.2015.16
Pimiento, C., Ehret, D.J., MacFadden. B.J., and Hubbell, G. 2010. Ancient nursery area for the extinct giant shark Megalodon from the Miocene of Panama. PLoS ONE, 5:e10552.
https://doi.org/10.1371/journal.pone.0010552
Pimiento, C., MacFadden, B.J., Clements, C.F., Varela, S., Jaramillo, C., Velez-Juarbe, J., Silliman, B.R. 2016. Geographical distribution patterns of Carcharocles megalodon over time reveal clues about extinction mechanisms. Journal of Biogeography, 43:1645–1655.
https://doi.org/10.1111/jbi.12754
Pimiento, C., Cantalapiedra, J.L., Shimada, K., Field, D.J., and Smaers, J.B. 2019. Evolutionary pathways towards shark gigantism. Evolution, 73:588–599.
https://doi.org/10.1111/evo.13680
Pimiento, C. and Antonelli, A. 2022. Integrating deep-time palaeontology in conservation prioritisation. Frontiers in Ecology and Evolution, 10:959364.
https://doi.org/10.3389/fevo.2022.959364
Pollerspöck, J., Cares, D., Ebert, D.A., Kelley, K.A., Pockalny, R., Robinson, R.S., Wagner, D., and Straube, N. 2023. First in situ documentation of a fossil tooth of the megatooth shark Otodus (Megaselachus) megalodon from the deep sea in the Pacific Ocean. Historical Biology, 1–6.
https://doi.org/10.1080/08912963.2023.2291771
Porter, M.E., Roque, C.M., and Long, J.H., Jr. 2009. Turning maneuvers in sharks: Predicting body curvature from axial morphology. Journal of Morphology, 270: 954–965.
https://doi.org/10.1002/jmor.10732
Porter, M.E., Roque, C.M., and Long, J.H., Jr. 2011. Swimming fundamentals: turning performance of leopard sharks (Triakis semifasciata) is predicted by body shape and postural reconfiguration. Zoology, 114:348–359.
https://doi.org/10.1016/j.zool.2011.06.001
Purdy, R.W. 1996. Paleoecology of fossil white sharks, p. 67–78. Klimley, A.P. and Ainley, D.G. (eds.), Great White Sharks: The Biology of Carcharodon carcharias. Academic Press, San Diego, California.
Randall, J.E. 1973. Size of the great white shark (Carcharodon). Science, 181:169–170.
https://doi.org/10.1126/science.181.4095.169
Randall, J.E. 1987. Refutation of lengths of 11.3, 9.0, and 6.4 m attributed to the white shark, Carcharodon carcharias. California Fish and Game, 73:163–168.
Raschi, W. and Elsom, J. 1986. Comments on the structure and development of the drag reduction-type placoid scale, p. 392–407. In Uyeno, T., Arai, R., Taniuchi, T., and Matsuura, K. (eds.), Proceedings of the Second International Conference on Indo-Pacific Fishes. Ichthyological Society of Japan, Tokyo.
Razak, H. and Kocsis, L. 2018. Late Miocene Otodus (Megaselachus) megalodon from Brunei Darussalam: body length estimation and habitat reconstruction. Neues Jahrbuch für Geologie und Paläontologie, Abhandlungen, 288:299–306.
https://doi.org/10.1127/njgpa/2018/0743
R Core Team. 2024. R: a language and environment for statistical computing.
https://www.r-project.org
Reolid, M. and Molina, J.M. 2015. Record of Carcharocles megalodon in the eastern Guadalquivir Basin (Upper Miocene, South Spain). Estudios Geológicos, 71(2):e032.
https://doi.org/10.3989/egeol.41828.342
Ryan, L.A., Meeuwig, J.J., Hemmi, J.M., Collin, S.P., and Hart, N.S. 2015. It is not just size that matters: shark cruising speeds are species-specific. Marine Biology, 162:1307–1318.
https://doi.org/10.1007/s00227-015-2670-4
Sato, K., Nakamura, M., Tomita, T., Toda, M., Miyamoto, K., and Nozu, R. 2016. How great white sharks nourish their embryos to a large size: evidence of lipid histotrophy in lamnoid shark reproduction. Biology Open, 5:1211‒1215.
https://doi.org/10.1242/bio.017939
Sayama, S., Natsuhara, M., Shinohara, G., Maeda, M., and Tanaka, H. 2024. Three-dimensional shape of natural riblets in the white shark: relationship between the denticle morphology and swimming speed of sharks. Journal of the Royal Society Interface, 21:20240063.
https://doi.org/10.1098/rsif.2024.0063
Schlichting, H. 1979. Boundary-Layer Theory. McGraw Hill, New York.
Shimada, K. 2002. Dental homologies in lamniform sharks (Chondrichthyes: Elasmobranchii). Journal of Morphology, 251:38–72.
https://doi.org/10.1002/jmor.1073
Shimada, K. 2003 (date of imprint 2002). The relationship between the tooth size and total body length in the white shark, Carcharodon carcharias (Lamniformes: Lamnidae). Journal of Fossil Research, 35:28–33.
Shimada, K. 2008. Ontogenetic parameters and life history strategies of the Late Cretaceous lamniform shark, Cretoxyrhina mantelli, based on vertebral growth increments. Journal of Vertebrate Paleontology, 28:21–33.
https://doi.org/10.1671/0272-4634(2008)28[21:OPALHS]2.0.CO;2
Shimada, K. 2019. The size of the megatooth shark, Otodus megalodon (Lamniformes: Otodontidae), revisited. Historical Biology, 33:904–911.
https://doi.org/10.1080/08912963.2019.1666840
Shimada, K. 2022. Phylogenetic affinity of the extinct shark family Otodontidae within Lamniformes remains uncertain–comments on “List of skeletal material from megatooth sharks (Lamniformes, Otodontidae)” by Greenfield. Paleoichthys, 6:1–5.
Shimada, K. and Everhart, M.J. 2019. A new large Late Cretaceous lamniform shark from North America with comments on the taxonomy, paleoecology, and evolution of the genus Cretodus. Journal of Vertebrate Paleontology, 39:e1673399.
https://doi.org/10.1080/02724634.2019.1673399
Shimada, K., Chandler, R.E., Lam, O.L.T., Tanaka, T., and Ward, D.J. 2017. A new elusive otodontid shark (Lamniformes: Otodontidae) from the lower Miocene, and comments on the taxonomy of otodontid genera, including the ‘megatoothed’ clade. Historical Biology, 29:704–714.
https://doi.org/10.1080/08912963.2016.1236795
Shimada, K., Becker, M.A., and Griffiths, M.L. 2021a. Body, jaw, and dentition lengths of macrophagous lamniform sharks, and body size evolution in Lamniformes with special reference to ‘off-the-scale’ gigantism of the megatooth shark, Otodus megalodon. Historical Biology, 33:2543–2559.
https://doi.org/10.1080/08912963.2020.1812598
Shimada, K., Bonnan, M.F., Becker, M.A., and Griffiths, M.L. 2021b. Ontogenetic growth pattern of the extinct megatooth shark Otodus megalodon–implications for its reproductive biology, development, and life expectancy. Historical Biology, 33:3254–3259.
https://doi.org/10.1080/08912963.2020.1861608
Shimada, K., Maisch, H.M., IV, Perez, V.J., Becker, M.A., and Griffiths, M.L. 2022. Revisiting body size trends and nursery areas of the Neogene megatooth shark, Otodus megalodon (Lamniformes: Otodontidae) reveals Bergmann's rule possibly enhanced its gigantism in cooler waters. Historical Biology, 35(2), 208–217.
https://doi.org/10.1080/08912963.2022.2032024
Shimada, K., Yamaoka, Y., Kurihara, Y., Takakuwa, Y., Maisch IV, H.M., Becker, M.A., Eagle, R.A., and Griffiths, M.L. 2024a. Tessellated calcified cartilage and placoid scales of the Neogene megatooth shark, Otodus megalodon (Lamniformes: Otodontidae), offer new insights into its biology and the evolution of regional endothermy and gigantism in the otodontid clade. Historical Biology, 36(7), 1259–1273.
https://doi.org/10.1080/08912963.2023.2211597
Shimada, K., Yamaoka, Y., Kurihara, Y., and Takakuwa, Y. 2024b. Notice of formal repository of the remaining teeth of an associated fossil specimen of the megatooth shark, Otodus megalodon (Lamniformes: Otodontidae), to the Saitama Museum of Natural History, Japan. Historical Biology, 1–2.
https://doi.org/10.1080/08912963.2024.2344813
Shirai, S. 1992. Squalean phylogeny: a new framework of “squaloid” sharks and related taxa. Hokkaido University Press, Sapporo, Japan, 203 p.
Silva, J. P.C.B., Shimada, K., and Datovo, A. 2023. The importance of the appendicular skeleton for the phylogenetic reconstruction of lamniform sharks (Chondrichthyes: Elasmobranchii). Journal of Morphology, 284:e21585.
https://doi.org/10.1002/jmor.21585
Sims, D.W. 2000. Filter-feeding and cruising swimming speeds of basking sharks compared with optimal models: they filter-feed slower than predicted for their size. Journal of Experimental Marine Biology and Ecology, 249:65–76.
https://doi.org/10.1016/S0022-0981(00)00183-0
Siverson, M. 1999. A new large lamniform shark from the uppermost Gearle Siltstone (Cenomanian, Late Cretaceous) of Western Australia. Transactions of the Royal Society of Edinburgh: Earth Sciences, 90:49–65.
https://doi.org/10.1017/S0263593300002509
Skomal, G.B., Braun, C.D., Chisholm, J.H., and Thorrold, S.R. 2017. Movements of the white shark Carcharodon carcharias in the North Atlantic Ocean. Marine Ecology Progress Series, 580:1–16.
https://doi.org/10.3354/meps12306
Speakman, J.R. 2005. Body size, energy metabolism and lifespan. Journal of Experimental Biology, 208:1717–1730.
https://doi.org/10.1242/jeb.01556
Staggl, M.A., Ruthensteiner, B., and Straube, N. 2023. Head anatomy of a lantern shark wet-collection specimen (Chondrichthyes: Etmopteridae). Journal of Anatomy, 242:872–890.
https://doi.org/10.1111/joa.13822
Sternes, P.C. and Shimada, K. 2018. Paleobiology of the Late Cretaceous sclerorhynchid sawfish, Ischyrhiza mira (Elasmobranchii: Rajiformes), from North America based on new anatomical data. Historical Biology, 31:1323‒1340.
https://doi.org/10.1080/08912963.2018.1452205
Sternes, P.C. and Shimada, K. 2020. Body forms in sharks (Chondrichthyes: Elasmobranchii), and their functional, ecological, and evolutionary implications. Zoology, 140:125799.
https://doi.org/10.1016/j.zool.2020.125799
Sternes, P.C., Wood, J.J., and Shimada, K. 2023. Body forms of extant lamniform sharks (Elasmobranchii: Lamniformes), and comments on the morphology of the extinct megatooth shark, Otodus megalodon, and the evolution of lamniform thermophysiology. Historical Biology, 35:139–151.
https://doi.org/10.1080/08912963.2021.2025228
Sternes, P.C., Jambura, P.L., Türtscher, J., Kriwet, J., Siversson, M., Feichtinger, I., Naylor, G.J.P., Summers, A.P., Maisey, J.G., Tomita, T., Moyer, J.K., Higham, T.E., da Silva, J.P.C.B., Bornatowski, H., Long, D.J., Perez, V.J., Collareta, A., Underwood, C., Ward, D.J., Vullo, R., González-Barba, G., Maisch, H.M., IV, Griffiths, M.L., Becker, M.A., Wood, J.J., and Shimada, K. 2024. White shark comparison reveals a slender body for the extinct megatooth shark, Otodus megalodon (Lamniformes: Otodontidae). Palaeontologia Electronica, 27(1):a7.
https://doi.org/10.26879/1345
Stewart, R.H. 2008. Introduction to Physical Oceanography. Open Textbook Library, University of Minnesota, Minneapolis, Minnesota.
https://open.umn.edu/opentextbooks/textbooks/20
Stone, N.R. and Shimada, K. 2019. Skeletal anatomy of the bigeye sandtiger shark, Odontaspis noronhai (Lamniformes: Odontaspididae), and its implications for lamniform phylogeny, taxonomy, and conservation biology. Copeia, 107:632–652.
https://doi.org/10.1643/CG-18-160
Sundström, L.F. and Gruber, S.H. 1998. Using speed sensing transmitters to model the bioenergetics of subadult lemon sharks, Negaprion brevirostris (Poey), in the field. Hydrobiologia 371:241–247.
https://doi.org/10.1023/A:1017031406947
Takakuwa, Y. 2014. A dense occurrence of teeth of fossil “mako” shark (“Isurus” hastalis: Chondrichthyes, Lamniformes), associated with a balaenopterid-whale skeleton of the Late Miocene Pisco Formation, Peru, South America. Bulletin of the Gunma Museum of Natural History, 18:77–86.
Thies, D. and Leidner, A. 2011. Sharks and guitarfishes (Elasmobranchii) from the Late Jurassic of Europe. Palaeodiversity, 4:63–184.
Thomson, K.S. and Simanek, D.E. 1977. Body form and locomotion in sharks. American Zoologist, 17:343–354.
https://doi.org/10.1093/icb/17.2.343
Tricas, T.C. and McCosker, J.E. 1984. Predatory behavior of the white shark (Carcharodon carcharias), with notes on its biology. Proceedings of the California Academy of Sciences, 43:221–238.
Trif, N., Ciobanu, R., and Codrea, V. 2016. The first record of the giant shark Otodus megalodon (Agassiz, 1835) from Romania. Brukenthal. Acta Musei, 11(3):507–526.
Underwood, C.J. 2006. Diversification of the Neoselachii (Chondrichthyes) during the Jurassic and Cretaceous. Paleobiology, 32(2):215-235.
https://doi.org/10.1666/04069.1
Uyeno, T. and Sakamoto, O. 1984. Lamnoid shark Carcharodon from Miocene beds of Chichibu Basin, Saitama Prefecture, Japan. Bulletin of the Saitama Museum of Natural History, 2:47–65, 10 plates.
Uyeno, T., Sakamoto, O., and Sekine, H. 1989. Description of an almost complete tooth set of Carcharodon megalodon from a middle Miocene bed in Saitama Prefecture, Japan. Bulletin of the Saitama Museum of Natural History, 7:73–85, 16 plates.
Viana, S. and Soares, K.D.A. 2023. Untangling the systematic dilemma behind the roughskin spurdog Cirrhigaleus asper (Merrett, 1973) (Chondrichthyes: Squaliformes), with phylogeny of Squalidae and a key to Cirrhigaleus species. PLoS ONE, 18(3):e0282597.
https://doi.org/10.1371/journal.pone.0282597
Villalobos-Segura, E., Marramà, G., Carnevale, G., Claeson, K.M., Underwood, C.J., Naylor, G.J.P., and Kriwet, J. 2022. The phylogeny of rays and skates (Chondrichthyes: Elasmobranchii) based on morphological characters revisited. Diversity, 14(6):456.
https://doi.org/10.3390/d14060456
Villalobos-Segura, E., Stumpf, S., Türtscher, J., Jambura, P.L., Begat, A., López-Romero, F.A., Fischer, J., and Kriwet, J. 2023. A synoptic review of the cartilaginous fishes (Chondrichthyes: Holocephali, Elasmobranchii) from the Upper Jurassic Konservat-Lagerstätten of southern Germany: taxonomy, diversity, and faunal relationships. Diversity, 15(3):386.
https://doi.org/10.3390/d15030386
Vogel, S. 1994. Life in Moving Fluids. The Physical Biology of Flow. Second Edition. Princeton University Press, Princeton, New Jersey.
von Mises, R. 1945. Theory of Flight. Dover Publishing, New York.
Vullo, R., Guinot, G., and Barbe, G. 2016. The first articulated specimen of the Cretaceous mackerel shark Haimirichia amonensis gen. nov. (Haimirichiidae fam. nov.) reveals a novel ecomorphological adaptation within the Lamniformes (Elasmobranchii). Journal of Systematic Palaeontology, 14:1003–1024.
https://doi.org/10.1080/14772019.2015.1137983
Vullo, R., Frey, E., Ifrim, C., González González, M.A., Stinnesbeck, E.S., and Stinnesbeck, W. 2021. Manta-like planktivorous sharks in Late Cretaceous oceans. Science, 371:1253–1256.
https://doi.org/10.1126/science.abc1490
Vullo, R., Villalobos-Segura, E., Amadori, M., Kriwet, J., Frey, E., González González, M.A., Padilla Gutiérrez, J.M., Ifrim, C., Stinnesbeck, E.S., and Stinnesbeck, W. 2024. Exceptionally preserved shark fossils from Mexico elucidate the long-standing enigma of the Cretaceous elasmobranch Ptychodus. Proceedings of the Royal Society B, 291:20240262.
https://doi.org/10.1098/rspb.2024.0262
Wainwright, D.K., Fish, F.E., Ingersoll, S., Williams, T.M., St Leger, J., Smits, A.J., and Lauder, G.V. 2019. How smooth is a dolphin? The ridged skin of odontocetes. Biology Letter, 15:20190103.
https://doi.org/10.1098/rsbl.2019.0103
Watanabe, Y.Y., Lydersen, C., Fisk, A.T., and Kovacs, K.M. 2012. The slowest fish: swim speed and tail-beat frequency of Greenland sharks. Journal of Experimental Marine Biology and Ecology 426:5–11.
https://doi.org/10.1016/j.jembe.2012.04.021
Watanabe, Y.Y., Goldman, K.J., Caselle, J.E., Chapman, D.D., and Papastamatiou, Y.P. 2015. Comparative analyses of animal-tracking data reveal ecological significance of endothermy in fishes. Proceedings of the National Academy of Sciences, 112(19):6104–6109.
https://doi.org/10.1073/pnas.1500316112
Webb, P.W. 1978. Fast-start performance and body form in seven species of teleost fish. Journal of Experimental Biology, 74:211–226.
https://doi.org/10.1242/jeb.74.1.211
Weigmann, S., Gon, O., Leeney, R.H., Barrowclift, E., Berggren, P., Jiddawi, N., and Temple, A.J. 2020. Revision of the sixgill sawsharks, genus Pliotrema (Chondrichthyes, Pristiophoriformes), with descriptions of two new species and a redescription of P. warreni Regan. PLoS ONE 15:e0228791.
https://doi.org/10.1371/journal.pone.0228791
White, P. 1895. The skull and visceral skeleton of the Greenland shark, Læmargus microcephalus. Earth and Environmental Science, Transactions of the Royal Society of Edinburgh, 37(2):287–306. https://doi.org/10.1017/S0080456800032622
White, W.T., Stewart, A.L., O’Neill, H.L., and Naylor, G.J.P. 2024. Dichichthyidae, a new family of deepwater sharks (Carcharhiniformes) from the Indo–West Pacific, with description of a new species. Fishes, 9(4):121.
https://doi.org/10.3390/fishes9040121
Wintner, S.P. and Cliff, G. 1999. Age and growth determination of the white shark, Carcharodon carcharias, from the east coast of South Africa. Fishery Bulletin 97:153–169.
Woodward, B.L., Winn, J.P., and Fish, F.E. 2006. Morphological specializations of baleen whales associated with hydrodynamic performance and ecological niche. Journal of Morphology, 267:1284–1294.
https://doi.org/10.1002/jmor.10474
Zonneveld, J.P., Fiorillo, A.R., Hasiotis, S., and Gingras, M.K. 2022. Tooth marks, gnaw marks, claw-marks, bite marks, scratch marks, etc: terminology in ichnology. Ichnos, 29(2):93–101.
https://doi.org/10.1080/10420940.2022.2058937