Conservation and management efforts for white sharks (Carcharodon carcharias) remain hampered by a lack of basic demographic information including age and growth rates. Sharks are typically aged by counting growth bands sequentially deposited in their vertebrae, but the assumption of annual deposition of these band pairs requires testing. We compared radiocarbon (Δ14C) values in vertebrae from four female and four male white sharks from the northwestern Atlantic Ocean (NWA) with reference chronologies documenting the marine uptake of 14C produced by atmospheric testing of thermonuclear devices to generate the first radiocarbon age estimates for adult white sharks. Age estimates were up to 40 years old for the largest female (fork length [FL]: 526 cm) and 73 years old for the largest male (FL: 493 cm). Our results dramatically extend the maximum age and longevity of white sharks compared to earlier studies, hint at possible sexual dimorphism in growth rates, and raise concerns that white shark populations are considerably more sensitive to human-induced mortality than previously thought.
Citation: Hamady LL, Natanson LJ, Skomal GB, Thorrold SR (2014) Vertebral Bomb Radiocarbon Suggests Extreme Longevity in White Sharks. PLoS ONE 9(1): e84006. doi:10.1371/journal.pone.0084006
Editor: Christopher J. Fulton, The Australian National University, Australia
Received: August 15, 2013; Accepted: November 11, 2013; Published: January 8, 2014
This is an open-access article, free of all copyright, and may be freely reproduced, distributed, transmitted, modified, built upon, or otherwise used by anyone for any lawful purpose. The work is made available under the Creative Commons CC0 public domain dedication.
Funding: This study was funded by the National Science Foundation (OCE 0825148 was awarded to SRT) and LLH was supported by the National Science Foundation Graduate Research Fellowship Program. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
Competing interests: The authors have declared that no competing interests exist.
White sharks (Carcharodon carcharias) are wide ranging apex predators in coastal and offshore waters throughout the world’s oceans. They are considered “vulnerable” worldwide by the International Union for the Conservation of Nature  Red List of Threatened Species and are protected via international trade agreements including the Convention on International Trade in Endangered Species  and the Convention on Migratory Species . Despite this attention, remarkably little demographic information is available for white shark populations. Age estimation is particularly important to the development of conservation and sustainable management strategies as most demographic variables required for adequate population assessments, such as longevity, growth rate, and age at sexual maturity, include an age component. The primary method of age estimation in fishes relies on counting growth increments in mineralized tissues, including otoliths, vertebrae, and fin rays , . However, accurate interpretation of growth increments in these tissues is often difficult and, in the case of a species subjected to fisheries exploitation, misinterpretation may inadvertently lead to mismanagement , . It is, therefore, necessary to validate age and growth estimates that are based on increment counts.
The use of bomb radiocarbon to test the periodicity of increment formation and age is now well established and its use on sharks has increased considerably in recent years , . The approach takes advantage of the pulse of radiocarbon above natural levels that was produced as a result of atmospheric testing of thermonuclear devices during the 1950 s and ’60 s. This increase in atmospheric radiocarbon, measured as Δ14C , mixed relatively quickly into the ocean and became incorporated in the tissues of marine organisms through uptake of dissolved inorganic carbon and subsequent dietary transmission through ocean foodwebs. The rapid rise in radiocarbon in the ocean can be used as a time stamp to determine the age of an organism that deposited layers in accretionary structures during this specific time period, and is generally considered the most diagnostic portion for Δ14C-based age determination ( though see ). Estimated ages based on band pair counts can then be independently confirmed by comparing Δ14C values from specific increments in the structure to a Δ14C reference chronology of known age material, typically from the same or nearby geographic area. First applied to bony fishes by comparing otolith Δ14C to a coral reference chronology , its use has since been extended to elasmobranch vertebrae –.
Several studies have used vertebral band pairs to describe the age and growth of white sharks. Assuming annual deposition of growth bands, the oldest individuals identified to date from the northeastern Pacific , , western Indian , and northwestern Pacific  oceans, were 18 (4.61 m total length, TL), 13 (3.73 m pre-caudal length, PCL), and 12 years (4.42 m TL), respectively. Two other papers described counts of 22 and 23 band pairs from the vertebrae of two large females, both over 5 m in total length, from the southwestern Pacific Ocean  and western Indian Ocean , respectively. None of the studies were, however, able to document annual periodicity of the band pairs used to assign age. Two of the studies ,  attempted to confirm annual periodicity of growth bands in white shark vertebrae, but results were inconclusive.
Our goal in the present study was to determine periodicity of band pair deposition in the vertebrae of white sharks from the northwest Atlantic Ocean (NWA) using the bomb radiocarbon signal. Once validated, band pair counts provide a method for providing minimum estimates of longevity in white shark populations.
Vertebrae were sampled from four female and four male white sharks caught in the NWA from 1967 to 2010 and archived at the National Marine Fisheries Service in Narragansett, RI. Vertebrae were loaned with permission to sample. With the exception of one individual (WS81), all vertebrae were taken from the abdominal section of the vertebral column. Abdominal vertebrae were unavailable from WS81 necessitating the use of a tail vertebra. The vertebrae were sectioned using a Ray Tech Gem Saw to approximately 0.6 mm in thickness. Larger vertebrae were sectioned through the corpus calcareum with a diamond blade using a Diamond Pacific Model TC-6 trim saw. Each section was digitally photographed with an MTI CCD 72 video camera attached to a SZX9 Olympus stereomicroscope using reflected light. Reference to trade names does not imply endorsement by NMFS. Two experienced readers (LJN and GBS) independently counted the growth bands. An opaque band through the intermedialia that continued to the corpus calcareum as a translucent band constituted a growth band. Definition of a band pair was similar to those used in earlier studies that confirmed the annual periodicity of band pairs in the porbeagle, Lamna nasus, and the shortfin mako, Isurus oxyrinchus , , which are closely related phylogenetically to the white shark.
The white shark vertebrae were characterized by narrow banding patterns that made it problematic to extract enough material from individual band pairs for Δ14C analysis. Therefore, sections were measured down the middle of the intermedialia from the central focus to the outer margin. Samples were cut along measured increments using a razor blade (n = 3 to 23 per vertebra) and were aligned with their respective band pairs using annotated photographs of each section. Band pair deposition was initially assumed to be annual in periodicity and ages were assigned to sample sections based on back calculation from collection date. For WS105, the year of collection (1986) sample was thinly shaved from the outer vertebral surface, representing the material most recently deposited prior to the individual’s death.
Radiocarbon analyses (n = 82) were conducted on collagen in the white shark vertebrae. Carbon isotope values in collagen reflect those of protein whereas the calcified inorganic component of vertebrae (hydroxyapatite) is composed of dietary carbon and dissolved inorganic carbon (DIC) , . Dietary and DIC pools have distinctive isotope values in ocean environments , , which can cause problems when conducting bulk isotope analyses of vertebral material. Varying degrees of mineralization along a vertebra may lead to unequal carbon contributions from organic and inorganic pools to different material sampled longitudinally from a vertebra. Finally, Δ14C values in de-mineralized samples from white shark vertebrae have been shown to be lower than paired bulk samples , presumably due to the presence of carbon sourced from DIC in the bulk samples. Taken together, these observations provide a strong argument for performing collagen extraction before Δ14C analysis of vertebral samples.
Collagen extraction from vertebral samples was conducted following Tuross et al. . Each sample consisted initially of approximately 0.5 g of tissue. Treatment was a series of steps: 1) overnight soak in a 3:1 chloroform methanol solution to remove lipids; 2) demineralization at room temperature with EDTA (pH 8) for 7–20 days until soft; 3) rinsing 10 times with Milli-Q water and at least one overnight soak; 4) dissolution in Milli-Q water at 110°C; and 5) filtration through muffled fritted glass filters. The filtrate from this process was frozen and lypholized. The purified collagen samples were then submitted as ‘ready to burn’ for δ13C and Δ14C analyses at the National Ocean Sciences Accelerator Mass Spectrometry Facility (NOSAMS) at the Woods Hole Oceanographic Institution (WHOI).
White sharks are highly migratory ,  with variable feeding habits , . As a result, three reference chronologies from the NWA were considered to represent the ocean Δ14C rise profile for the region. A coral carbonate chronology from Florida  showed a more immediate uptake of bomb radiocarbon compared to the NWA otolith curve . The reference record from validated porbeagle shark data provided a reference for a potential phase lag between ocean radiocarbon curves and vertebral profiles . Radiocarbon values from white shark samples were plotted against the reference chronologies under the assumption of annual band pair deposition.
Where the Δ14C rise portion of the vertebral data was displaced to either the right or the left of the reference curves, we shifted the points to bring the entire white shark chronology into alignment. To optimize the alignment, we first fit a linear trend line to the Δ14C rise portion of the appropriate reference curve (Florida coral for WS134, and NWA otolith for WS81 and WS105) (Figure S1). Using the resulting equation, we entered each Δ14C data point from the vertebral Δ14C rise section and located the year corresponding to that point on the reference chronology (Table S1). We found the optimal alignment for each Δ14C data point by summing the squared differences between the reference Δ14C value for each year and the measured vertebral Δ14C from that same year. This calculation was repeated after moving the vertebral years step-wise one year closer each time to the reference years. We identified the optimal shift for each white shark chronology by minimizing the summed squared differences for all the points (Table S2). See supporting information for data and calculations.
Finally, δ13C values were also assayed in the collagen samples during the radiocarbon analysis. While δ13C values in the ocean did not increase along with radiocarbon values, carbon isoscapes do vary as a function of latitude and distance from the coast and can be a useful tracer of large scale movement patterns , . We therefore plotted δ13C values by radiocarbon adjusted age and radiocarbon value.
Band pair counts in vertebral thin sections provided age estimates of 6–35 years for female white sharks and 9–52 years for male white sharks (Figure 1, Table 1). Radiocarbon values in vertebral samples from before the bomb Δ14C rise were generally consistent with regional Δ14C reference chronologies (mean = −62.5±8.44‰ (SD)) (Figure 2A, B, D). Post-peak radiocarbon values ranged from below the NWA otolith curve to nearly the same amplitude as the coral reference curve from Florida. Female white sharks displayed a broader range in both the absolute magnitude of the Δ14C rise and in Δ14C post-peak trajectories compared to males (Figure 2A, B, C, D).
Figure 1. Photomicrographs of sectioned vertebrae.
A) Upper section of vertebra taken from WS105. B) WS 100 vertebra; first dot is the birth band. Visible band pairs are marked by dots on the corpus calcareum. The lines indicate the vertebral radius (16.6 mm). Vertebral radius is measured at the angle of the vertebra where the intermedialia meets the corpus calcareum.doi:10.1371/journal.pone.0084006.g001
Results from male (A, B) and female (C, D) white shark vertebrae. Dotted line is porbeagle data smoothed with a Loess curve. For panels B and D, the arrows indicates the vertebral Δ14C curves that had to be shifted to line up with the reference chronologies (white open symbols are initial data, black symbols are data shifted to align with the references).doi:10.1371/journal.pone.0084006.g002
Table 1. Collection and sampling information for individual sharks.adoi:10.1371/journal.pone.0084006.t001
We found good agreement between the reference curves and band pair counts in three sharks (WS57, WS100, WS28) with nominal ages of 44, 9, and 6 years, respectively. The two youngest white sharks (WS100 and WS28) aligned closely with the coral curve. An older shark (WS57) also aligned with the coral curve up to almost 30 years of age, with a good representation of pre- Δ14C rise levels, after which it matched well with the porbeagle reference curve, indicating that vertebral band pairs were indeed deposited on an annual basis (Figure 2A, C). Two other individuals (WS143, WS117) recorded radiocarbon values solely from the enriched post-Δ14C rise period with values bracketed by the Δ14C reference chronologies (Figure 2A, C). The original Δ14C time series of one female (WS134) was plotted with a birth year three years prior to the most rapid increase in Δ14C documented, indicating a slight over-estimation of age by the band pair counting, based on the assumption that the coral record provided the best age calibration for this individual (Figure 2D). This assumption was likely appropriate given the similarity of the vertebral Δ14C values to the coral chronology, both of which were considerably higher than the other two reference chronologies. In the remaining two sharks - the largest female and male that we examined (WS81, WS105) – the original age estimates led to an offset Δ14C chronology for each of these individuals relative to the reference Δ14C data. Based on the limits provided by the NWA otolith Δ14C reference chronology, each was adjusted (by 7 and 21 years respectively) to a greater age than could be accounted for with the band pair counting. (Figure 2B, D). We kept the terminal data point of WS105 at the year of collection (1986) because it reflected the most recently deposited material in the vertebra. Moving the vertebral values back to the reference curves led to an increase of estimated age to 40 and 73 years for the female and male, respectively (Figure 2B, D).
Examining δ13C values as a function of estimated age, all pre-birth δ13C values, except for WS28, were clustered with a difference of ~0.8‰. However, post-birth, δ13C values diverged with a tendency towards decline with age but no obvious trend (R = 0.33) (Figure 3). Interestingly, δ13C values were positively correlated with Δ14C values after (R = 0.80) but not before (R = 0.42) the bomb radiocarbon rise (Figure 4). The maximum difference in δ13C values across a single vertebra ranged from 0.33 to 1.84‰ (Table S3). Individual white shark Δ14C and δ13C (‰) sample values and deposition years are available online (Table S3).
Figure 3. δ13C values for individual sharks.
Plotted by A) deposition year and B) age as corrected to fit the Δ14C reference curves.doi:10.1371/journal.pone.0084006.g003
Δ14C profiles in vertebrae provided compelling evidence that white sharks are likely to live up to approximately 70 years in the NWA and may live longer. These data stand in contrast to earlier studies in the Pacific and Indian Oceans which suggested that the individual white sharks examined were no older than 23 years , , ,  with concomitantly faster growth rates. Therefore, either white sharks are living significantly longer and growing slower in the NWA than either the Pacific or Indian Oceans or longevity has been underestimated in previous studies.
The only other study to attempt age validation in white shark vertebrae using Δ14C was conducted on samples from the northeastern Pacific Ocean . Results from this earlier study were generally inconclusive for several reasons. The authors used known-age (1 year-old) samples to construct a species-specific Δ14C reference that they suggested showed a significant time lag with an otolith reference time series from the Pacific Ocean. However, this interpretation is questionable because no samples were analyzed from the time period between 1959 and 1977 when the Δ14C rise occured in the otolith reference chronologies. Kerr et al.  did document a phase lag between otolith reference chronologies and samples from assays at the edge of the vertebrae that were assigned chronologically to the year of capture. The phase lag between year-of-capture samples and the Δ14C reference chronologies led the authors to suggest that white sharks were consuming some prey with depleted Δ14C values from deeper waters in the Pacific. However, the concept of missing growth in the outer margin was not considered because the idea had not yet been described .
Our results were substantively different from those derived from the Pacific samples. The NWA white sharks in our study with nominal ages up to 44 years aligned well with reference chronologies, confirming that these sharks deposited one band pair per year up to this age. Moreover, the prey base for NWA white sharks reflected Δ14C values commonly found in coastal and epipelagic zones . This observation is consistent with results from the eastern Pacific that found juvenile white sharks tend to stay in shallow water close to the coast . Similar results have also been recently reported for great hammerhead , young tiger , and young sandbar  sharks in the NWA, indicating that these sharks are also using shallow, well-mixed habitats in coastal or oceanic waters.
We found a significant phase lag in larger white sharks that, based on the alignment of young sharks with reference chronologies, was evidence for significant underestimation of age based on band pair counts in these individuals. The Δ14C chronologies from these individuals showed that the vertebrae are effectively missing time, on the order of one to two decades. This result is not necessarily surprising as band pair counts appear to also underestimate age in older individuals in other shark species , , , . Given that band pairs are apparently laid down on an annual basis in small to medium sized NWA white sharks, we suggest that the largest individuals may experience a change in the rate of deposition of vertebral material at some point after maturity, or that the band pairs becomes so thin as to be unreadable. This second hypothesis was supported by the shaved terminal sample that we were able to extract from WS105 that was clearly post-bomb and close to the NWA reference value for the year of capture. Andrews et al.  and Natanson et al.  came to a similar conclusion for sandbar and dusky sharks respectively, in the NWA. Kerr et al.  found a similar phase lag in older northeastern Pacific white shark vertebrae that they argued could not be explained by age under-estimation (though variable vertebral growth was mentioned as a possible factor), but rather by assimilation of Δ14C-depleted carbon from dietary sources. An alternative interpretation of these data based on the fact that their results showed a phase shift as opposed to a lack of a Δ14C rise in the vertebrae suggests that ages may have been underestimated in these individuals. If the sharks were feeding on a significant amount of Δ14C-depleted prey, we would expect a noticeably slowed and dampened response to the rise of Δ14C in the Pacific, which did not appear to be the case (Figure 1 in ). We would also note that it is difficult to constrain the deposition date of material at the terminal edge of large white shark vertebrae even with the fine-scale sampling that we used here. Based on the available data, we cannot determine if the results of our study are applicable to white sharks in other locations as age and growth can vary between different shark populations , , but further studies are clearly warranted.
While fish otoliths obtain most of their carbon through uptake from DIC ,  diet is likely the primary source of carbon in vertebral collagen of elasmobranchs , . This difference in carbon source may lead to problems when comparing radiocarbon curves between inorganic carbonate structures and organic cartilaginous tissues. Equilibration of carbon isotopes incorporated through trophic transfer is likely to be slower than uptake from DIC and this would, in turn, act to reduce the rate of increase and perhaps the amplitude of the radiocarbon rise depending on the variability of tissue turnover rates in food sources. This effect is likely to increase with the trophic level or age of the prey , at least to the degree that either variable correlates with carbon turnover rates in muscle tissue of individual prey species. However, NWA white shark records did not show any obvious reduction in the slope of the radiocarbon rise compared to carbonate reference chronologies (though attenuation may be possible and unresolvable in the post-Δ14C rise period). The synchronization between the coral reference chronology and WS28 and WS100 demonstrates that white sharks must quickly reach carbon isotopic equilibrium with their diet, or feed on prey that is isotopically equilibrated with ambient DIC. Vertebral samples from other shark species that lag carbonate reference chronologies  presumably reach isotopic equilibrium with their environment considerably more slowly than white sharks. Nonetheless, this observation further supports our contention that age under-estimation is the most likely cause of the phase lag between the reference chronologies and the vertebral profiles.
Atlantic white sharks are poorly studied in terms of diet and movement when compared to their Pacific, Australian, and South African counterparts. Post-Δ14C rise periods of the white shark profiles revealed some interesting differences among individuals and potentially between sexes that may be related to movement or diet shifts. The post-Δ14C rise signal of a location depends on oceanic conditions affecting the diffusion of atmospheric radiocarbon into the sea surface coupled with mixing rates and radiocarbon depth gradients and, therefore, varies significantly both within and across ocean basins . These oceanic conditions as well as biotic factors also impact the δ13C signal of a location . We found that male sharks aligned more closely with the NWA otolith reference record than the Florida coral record, suggesting that these individuals spent a significant amount of time in northern shelf waters. However, a similar pattern would also be observed if the sharks shifted to a diet of animals with Δ14C–depleted values. Post-Δ14C rise radiocarbon values for two females (WS117 and WS 134) sat anywhere from 10–70‰ above the NWA otolith curve, suggesting residency in more southerly and tropical waters than the males in our study.
Our interpretation of habitat differences between sexes and among individuals in this study is reinforced by the post-Δ14C rise correlation between δ13C and Δ14C in the white shark vertebrae; less depleted δ13C values are indicative of lower latitudes in the Atlantic and more depleted δ13C values are indicative of more northern waters (Fig. 4) . Sex-specific differences in habitat use have been documented for Pacific white sharks , as has individual diversity in feeding strategy. Using stable C and N isotopes in vertebrae, Kim et al.  found a surprising degree of within and among individual variation attributable to a combination of both differences in diet and movement. Our δ13C data also hint at this, with general agreement in early growth, followed by individual differences (Fig. 3). Kerr et al.  noted a trend of lower δ13C values with increasing age and attributed this to differences in juvenile and adult habitat. While we did not consistently find this pattern, the two oldest individuals, both males (WS57, WS105), exhibited lower δ13C values as they aged. Changes in diet also affect δ13C values; an increase in trophic level generally corresponds to an enrichment of approximately 1‰ . Based on bulk δ15N, which tends to be more sensitive to diet change than δ13C, Estrada et al.  found apparent size-based trophic shifts in NWA white sharks. It’s likely that the variation in both Δ14C and δ13C in our study results from a combination of diet and movement differences; more work on the ecology of NWA white sharks is needed to understand and explain the observed variability.
White sharks in our study also displayed marked sexual dimorphism in size at age, assuming our age interpretations are correct. The largest male and female (WS105 and WS81) in this study were similar in size (FLs: 493 cm and 526 cm respectively), yet their ages, as estimated by radiocarbon analyses, differed by up to thirty-three years. WS81, the largest female, is almost a meter longer and yet still four years younger than the second largest male in our study (WS57). The smallest sharks in our study (males: WS100, WS143; female: WS28) are also very similar in size, yet the two males are 3 and 8 years older than the female, respectively. Sexual dimorphism in growth rates is common in lamnids , although it is usually thought that larger females are also older. While our sample is limited, the NWA white sharks in this study appear to show the opposite trend. Since the lifetimes and sampling dates of these sharks span several decades, changes in habitat quality may also have influenced this trend.
Assuming a lifespan estimate of 70 years or more, white sharks may be among the longest-lived chondrichthyan fishes . Population projections for white sharks based on earlier age and growth data will, therefore, need to be revisited in the NWA. Modeling of elasmobranch populations has found that age at maturity accounts for most of the variance in population growth rates; sharks that mature late, have long lifespans, and small litters have the lowest population growth rates and longest generation times , . While increased overall longevity implies that each individual has greater potential lifetime productivity, modeling studies suggest that the ability of a shark species to recover from fishing pressure is little affected by overall longevity , and changes in juvenile survival actually have the greatest effect on population growth rates . We predict that age at maturity for NWA white sharks will be substantially higher than estimates from other areas, using our age data. Earlier work concluded that white sharks have low rebound potential when exposed to fishing pressure  and high intrinsic vulnerability to extinction . Thus an increase in age at maturity would make white sharks even more sensitive to fishing pressure than previously thought. While already protected in many nations, even low levels of bycatch mortality are likely to have significant impacts  on attempts to rebuild white shark populations from historical over-fishing in the NWA ( but see ) and potentially other populations in the Pacific and Indian Oceans.
Linear trends fit to the Δ14C rise portion of the reference chronologies. A) Florida coral reference chronology, used to correct WS134. B) NWA otolith reference chronology, used to correct WS81 and WS105.
Phase lagged Δ14C shark values.
Calculating the summed squared differences for optimal chronology shifting. The top line for each chronology is its original placement based on band pair counts. Subsequent lines move the Δ14C values step-wise one year closer to their corresponding date on the reference chronology (the values in column 3 from Table S1). Columns “Diffs. 1–4″ refer to the squared differences between the date on the reference chronology and the step-wise adjusted year. “Sum” is the summed squared differences for all points from one shark, and the optimum shift is when this value is minimized; these values have been bolded and starred (*) for each chronology.
Δ14C and δ13C (‰) shark sample data listed by individual.
We thank M. Lardie Gaylord, A. McNichol, and other staff members at NOSAMS for help with sample preparation and processing. Thanks to the fishermen that allowed us to sample their catches and tournament officials that gave us the opportunity to sample at their events. We are grateful for discussions with A.H. Andrews and G. Cailliet; A.H. Andrews additionally provided valuable assistance with data interpretation and manuscript edits. We appreciate the helpful comments and suggestions provided by the editor and two anonymous reviewers.
Conceived and designed the experiments: LLH LJN GBS SRT. Performed the experiments: LLH LJN GBS. Analyzed the data: LLH LJN GBS SRT. Contributed reagents/materials/analysis tools: LJN SRT. Wrote the paper: LLH LJN GBS SRT.
- 1. IUCN (2013) IUCN Red List of Threatened Species, v. 1. Available: http://www.iucnredlist.org. Accessed 15 February 2013.
- 2. CITES (2004) Proposal for the inclusion of Carcharodon carcharias in Appendix II. CoP13 Prop. 32 Rev. 1. Bangkok, Thailand, 39 pp. www.cites.org/eng/cop/13/prop/index.shtml.
- 3. CMS (2007) UNEP/CMS/Recommendation 8.16 Migratory sharks, Vol. 2005. United Nations Environment Programme, Convention on Migratory Species.
- 4. Campana SE (2001) Accuracy, precision and quality control in age determination, including a review of the use and abuse of age validation methods. J Fish Biol 59: 197–242. doi: 10.1006/jfbi.2001.1668
- 5. Goldman KJ, Cailliet GM, Andrews AH, Natanson LJ (2012) Chapter 14: Assessing the Age and Growth of Chondrichthyan Fishes. In: Carrier J, Musick JA, Heithaus MR, editors. Biology of Sharks and their Relatives. Boca Raton: CRC Press. pp. 423–451.
- 6. Fenton GE, Short SA, Ritz DA (1991) Age determination of orange roughy, Hoplostethus atlanticus. (Pisces: Trachichthyidae) using 210Pb: 226Ra disequilibria. Mar Biol 109: 197–202. doi: 10.1007/bf01319387
- 7. Andrews AH, Tracey DM, Dunn MR (2009) Lead–radium dating of orange roughy (Hoplostethus altanticus): validation of a centenarian life span. Can J Fish Aquat Sci 66: 1130–1140. doi: 10.1139/f09-059
- 8. Stuiver M, Polach HA (1977) Discussion: reporting of 14C data. Radiocarbon 19: 355–363.
- 9. Andrews AH, Barnett BK, Allman RJ, Moyer RP, Trowbridge HD (2013) Great longevity of speckled hind (Epinephelus drummondhayi) a deep-water grouper, with novel use of postbomb radiocarbon dating in the Gulf of Mexico. Can J Fish Aquat Sci 70: 1131–1140. doi: 10.1139/cjfas-2012-0537
- 10. Kalish JM (1993) Pre- and post-bomb radiocarbon in fish otoliths. Earth Planet Sci Lett 114: 549–554. doi: 10.1016/0012-821x(93)90082-k
- 11. Campana SE, Natanson LJ, Myklvoll S (2002) Bomb dating and age determination of large pelagic sharks. Can J Fish Aquat Sci 59: 450–455. doi: 10.1139/f02-027
- 12. Ardizzone D, Cailliet GM, Natanson LJ, Andrews AH, Kerr LA, et al. (2006) Application of bomb radiocarbon chronologies to shortfin mako (Isurus oxyrinchus) age validation. Environ Biol Fishes 77: 355–366. doi: 10.1007/s10641-006-9106-4
- 13. Francis MP, Campana SE, Jones CM (2007) Age under-estimation in New Zealand porbeagle sharks (Lamna nasus): is there an upper limit to ages that can be determined from shark vertebrae? Mar Fresh Res 58: 10–23. doi: 10.1071/mf06069
- 14. Kneebone J, Natanson LJ, Andrews AH, Howell WH (2008) Using bomb radiocarbon analyses to validate age and growth estimates for the tiger shark, Galeocerdo cuvier, in the western North Atlantic. Mar Biol 154: 423–434. doi: 10.1007/s00227-008-0934-y
- 15. Passerotti MS, Carlson JK, Piercy AN, Campana SE (2010) Age validation of great hammerhead shark (Sphyrna mokarran) determined by bomb radiocarbon analysis. Fish Bull 108: 346–351.
- 16. Andrews AH, Natanson LJ, Kerr LA, Burgess GH, Cailliet GM (2011) Bomb radiocarbon and tag-recapture dating of sandbar shark (Carcharhinus plumbeus). Fish Bull 109: 454–465.
- 17. Natanson LJ, Gervelis BJ, Winton MV, Hamady LL, Gulak SJB, et al.. (2013) Validated age and growth estimates for Carcharhinus obscurus in the northwestern Atlantic Ocean, with pre- and post management growth comparisons. Environ Biol Fish: 10.1007/s10641-013-0189-4.
- 18. Cailliet GM, Natanson LJ, Welden BA, Ebert DA (1985) Preliminary studies on the age and growth of the white shark, Carcharodon carcharias, using vertebral bands. In: Sibley G, editor. Biology of the White Shark, a Symposium. Los Angeles: Memoirs of the Southern California Academy of Sciences. pp. 49–59.
- 19. Kerr LA, Andrews AH, Cailliet GM, Brown TA, Coale KH (2006) Investigations of Δ14C, δ13C, and δ15N in vertebrae of white shark (Carcharodon carcharias) from the eastern North Pacific Ocean. Environ Biol Fishes 77: 337–353. doi: 10.1007/s10641-006-9125-1
- 20. Wintner SP, Cliff G (1999) Age and growth determination of the white shark, Carcharodon carcharias, from the east coast of South Africa. Fish Bull 97: 153–169.
- 21. Tanaka S, Kitamura T, Mochizuki T, Kofuji K (2011) Age, growth and genetic status of the white shark (Carcharodon carcharias) from Kashima-nada, Japan. Mari Freshw Res 62: 548–556. doi: 10.1071/mf10130
- 22. Francis MP (1996) Observations on a pregnant white shark with a review of reproductive biology. In: Klimley P, Ainley DG, editors. Great White Sharks: The biology of Carcharodon caracharias. San Diego: Academic Press. pp. 157–172.
- 23. Mollet HFD, Cailliet GM, Klimley AP, D.A Ebert, A.D Testi, et al.. (1996) A review of length validation methods and protocols to measure large white sharks. In: Klimley P, Ainley DG, editors. Great White Sharks: The biology of Carcharodon caracharias. San Diego: Academic Press. pp. 91–108.
- 24. Natanson LJ, Mello JJ, Campana SE (2002) Validated age and growth of the porbeagle shark (Lamna nasus) in the western North Atlantic Ocean. Fish Bull 100: 266–278.
- 25. Ambrose SH, Norr L (1993) Experimental evidence for the relationship of the carbon isotope ratios of whole diet and dietary protein to those of bone collagen and carbonate. In: Lambert JB, Grupe G, editors. Prehistoric Human Bone: Archaeology at the Molecular Level. New York: Springer-Verlag. pp. 1–37.
- 26. Tieszen LL, Fagre T (1993) Effect of diet quality and composition on the isotopic composition of respiratory CO2, bone collagen, bioapatite, and soft tissues. In: Lambert JB, Grupe G, editors. Prehistoric Human Bone: Archaeology at the Molecular Level. New York: Springer-Verlag. pp. 121–155.
- 27. Newsome SD, Clementz MT, Koch PL (2010) Using stable isotope biogeochemistry to study marine mammal ecology. Mar Mamm Science 26: 509–572. doi: 10.1111/j.1748-7692.2009.00354.x
- 28. McMahon KW, Hamady LL, Thorrold SR (2013) A review of ecogeochemistry approaches to estimating movements of marine animals. Limnol Oceanogr 58: 697–714. doi: 10.4319/lo.2013.58.2.0697
- 29. Tuross N, Fogel ML, Hare PE (1988) Variability in the preservation of the isotopic composition of collagen from fossil bone. Geochim Cosmochim Acta 52: 929–935. doi: 10.1016/0016-7037(88)90364-x
- 30. Bonfil R, Meyer M, Scholl MC, Johnson R, O’Brien S, et al. (2005) Transoceanic Migration, Spatial Dynamics, and Populations Linkages of White Sharks. Science 310: 100–103. doi: 10.1126/science.1114898
- 31. Weng KC, Boustany AM, Pyle P, Anderson SD, Brown A, et al. (2007) Migration and habitat of white sharks (Carcharodon carcharias) in the eastern Pacific Ocean. Mar Biol 152: 877–894. doi: 10.1007/s00227-007-0739-4
- 32. Compagno LJV (2001) Carcharodon carcharias. In: Compagno LJV, editor. Sharks of the World: An Annotated and Illustrated Catalogue of Shark Species Known to Date. Rome: FAO Species Catalogue for Fishery Purposes, No. 1, Vol. 2. pp. 100–107.
- 33. Kim SL, Tinker MT, Estes JA, Koch PL (2012) Ontogenetic and Among-Individual Variation in Foraging Strategies of Northeast Pacific White Sharks Based on Stable Isotope Analysis. PLoS ONE. 7: e45068 doi:10.1371/journal.pone.0045068.
- 34. Druffel ERM, Linick TW (1978) Radiocarbon in annual coral rings of Florida. Geophys Res Lett 5: 913–916. doi: 10.1029/gl005i011p00913
- 35. Campana SE, Casselman JM, Jones CM (2008) Bomb radiocarbon chronologies in the Arctic, with implications for the age validation of lake trout (Salvelinus namaycush) and other Arctic species. Can J Fish Aquat Sci. 65: 733–743. doi: 10.1139/f08-012
- 36. McMahon KW, Hamady LL, Thorrold SR (2013) Ocean ecogeochemistry – A Review. In: Hughes RN, Hughes D, Smith IP, editors. Oceanography and Marine Biology: An Annual Review. Boca Raton: CRC Press. pp. 327–374.
- 37. Kalish JM, Johnston J (2001) Determination of school shark age based on analysis of radiocarbon in vertebral collagen. In: Kalish JM, editor. Use of the Bomb Radiocarbon Chronometer to Validate Fish Age: Final Report, FDRC Project 93/109. Canberra: Fisheries Research and Development Corporation. pp. 116–122.
- 38. Thorrold SR, Campana SE, Jones CM, Swart PK (1997) Factors determining δ13C and δ18O fractionation in aragonitic otoliths of marine fish. Geochim Cosmochim Acta 61: 2909–2919. doi: 10.1016/s0016-7037(97)00141-5
- 39. Domeier ML, Nasby-Lucas N (2012) Sex-specific migration patterns and sexual segregation of adult white sharks, Carcharodon carcharias, in the Northeastern Pacific. In: Domeier ML, editor. Global Perspectives on the Biology and Life History of the Great White Shark. Boca Raton: CRC Press. pp. 133–146.
- 40. Michener RH, Schell DM (1994) Stable isotopes as tracers in marine aquatic food webs. In: Lajtha K, Michener RH, editors. Stable Isotopes in Ecology and Environmental Science. New York: Blackwell Scientific Publications. pp. 138–157.
- 41. Estrada JA, Rice AN, Natanson LJ, Skomal GB (2006) Use of isotopic analysis of vertebrae in reconstructing ontogenetic feeding ecology in white sharks. Ecology 87: 829–834. doi: 10.1890/0012-9658(2006)87[829:uoiaov]2.0.co;2
- 42. Cailliet GM, Goldman KJ (2004) Age determination and validation in chondrichthyan fishes. In: Carrier JC, Musick JA, Heithaus MR, editors. The Biology of Sharks and Their Relatives, Vol. 1. Boca Raton: CRC Press. pp. 399–447.
- 43. Smith SE, Au DW, Show C (1998) Intrinsic rebound potentials of 26 species of Pacific sharks. Mar Fresh Res 49: 663–78. doi: 10.1071/mf97135
- 44. Cortés E (2002) Incorporating uncertainty into demographic modeling: Application to shark population and their conservation. Conserv Biol 16: 1048–1062. doi: 10.1046/j.1523-1739.2002.00423.x
- 45. Rogers PJ, Huveneers C, Goldsworthy SD, Cheung WWL, Jones GK, et al. (2013) Population metrics and movement of two sympatric carcharhinids: a comparison of the vulnerability of pelagic sharks of the southern Australian gulfs and shelves. Mar Fresh Res 64: 20–30. doi: 10.1071/mf11234
- 46. Dulvy NK, Baum JK, Clarke S, Compagno LJV, Cortes E, et al. (2008) You can swim but you can’t hide: the global status and conservation of oceanic pelagic sharks and rays. Aquat Conserv 18: 459–482. doi: 10.1002/aqc.975
- 47. Baum JK, Myers RA, Kehler DG, Worm B, Harley SJ, et al. (2003) Collapse and conservation of shark populations in the northwest Atlantic. Science 29: 389–392. doi: 10.1126/science.1079777
- 48. Burgess GH, Beerkircher LR, Cailliet GM, Carlson JK, Cortes E, et al. (2005) Is the collapse of shark populations in the northwest Atlantic Ocean and Gulf of Mexico real? Fisheries 30: 20–26. doi: 10.1577/1548-8446(2005)30[19:itcosp]2.0.co;2