Marine and Freshwater Research Marine and Freshwater Research Society
Advances in the aquatic sciences
RESEARCH ARTICLE

Comparison of deterministic growth models fitted to length-at-age data of the piked spurdog (Squalus megalops) in south-eastern Australia

J. Matías Braccini A B C , Bronwyn M. Gillanders A , Terence I. Walker B and Javier Tovar-Avila B
+ Author Affiliations
- Author Affiliations

A Southern Seas Ecology Laboratories, Darling Building DP 418, School of Earth and Environmental Sciences, University of Adelaide, Adelaide, SA 5005, Australia.

B Primary Industries Research Victoria, PO Box 114, Queenscliff, VIC 3225, Australia.

C Corresponding author. Email: matias.braccini@dpi.vic.gov.au

Marine and Freshwater Research 58(1) 24-33 https://doi.org/10.1071/MF06064
Submitted: 20 April 2006  Accepted: 14 September 2006   Published: 30 January 2007

Abstract

Age and growth estimates of Squalus megalops were derived from the first dorsal fin spine of 452 sharks, ranging from 274 to 622 mm total length. Age bias plots and indices of precision indicated that the ageing method was precise and unbiased. Edge analysis of the enameled surface of whole spines and similarities in the banding pattern deposited in the enameled surface of spines and in spine sections supported the hypothesis of annual band formation. Multiple versions of two growth models were fitted to length-at-age data, from which a two-phase von Bertalanffy model produced the best fit. For males, the change in growth rate corresponded with size-at-maturity, whereas for females, the change was slightly before size-at-maturity. Regardless of the growth model used, growth rate of females (0.034 to 0.098 years–1) was very low, making S. megalops highly susceptible to overexploitation by fisheries.

Additional keywords: age, AIC, Gompertz, Squalidae, von Bertalanffy.


Acknowledgements

We are grateful to P. Risley, G. Richardson and the crew of fishing vessel ‘Nungurner’ for assistance with sample collection, to G. A. McFarlane and colleagues from the Pacific Biological Station and to G. Watson and M. J. Smale from Port Elizabeth Museum at Bayworld for reading a sub-sample of spines, to S. Irvine for comments on ageing techniques, and to M. Araya and V. Troynikov for comments on growth models. This research was supported by an International Postgraduate Research Scholarship and a University of Adelaide Postgraduate Research Scholarship to J.M.B. and an Australian Fisheries Research and Development Corporation grant (FRDC 2002/033) to T.I.W. B.M.G. was supported by an Australian Research Council QEII Research Fellowship. Funding for field and laboratory components was provided by Sea World Research and Rescue Foundation, Project Aware, Royal Zoological Society of New South Wales, Nature Foundation SA (Nature Foundation South Australia) and Royal Zoological Society of South Australia.


References

Bass A. J., D’Aubrey J. D., and Kistnasamy N. (1976). ‘Sharks of the East Coast of Southern Africa. VI. The Families Oxynotidae, Squalidae, Dalatiidae and Echinorhinidae.’ South African Association for Marine Biological Research, Investigational Report No. 45. (Oceanographic Research Institute: Durban.)

Beamish, R. J. , and Fournier, D. A. (1981). A method for comparing the precision of a set of age determinations. Canadian Journal of Fisheries and Aquatic Sciences 38, 982–983.


Beamish, R. J. , and McFarlane, G. A. (1983). The forgotten requirement for age validation in fisheries biology. Transactions of the American Fisheries Society 112, 735–743.
CrossRef |

Beamish, R. J. , and McFarlane, G. A. (1985). Annulus development on the second dorsal spine of the spiny dogfish (Squalus acanthias) and its validity for age determination. Canadian Journal of Fisheries and Aquatic Sciences 42, 1799–1805.


Bishop, S. D. H. , Francis, M. P. , Duffy, C. , and Montgomery, J. C. (2006). Age, growth, maturity, longevity and natural mortality of the shortfin mako shark (Isurus oxyrinchus) in New Zealand waters. Marine and Freshwater Research 57, 143–154.
CrossRef |

Braccini, J. M. , Gillanders, B. M. , and Walker, T. I. (2005). Sources of variation in the feeding ecology of the piked spurdog (Squalus megalops): implications for inferring predator–prey interactions from overall dietary composition. ICES Journal of Marine Science 62, 1076–1094.


Braccini, J. M. , Gillanders, B. M. , and Walker, T. I. (2006a). Determining reproductive parameters for population assessments of chondrichthyan species with asynchronous ovulation and parturition: piked spurdog (Squalus megalops) as a case study. Marine and Freshwater Research 57, 105–119.
CrossRef |

Braccini, J. M. , Gillanders, B. M. , and Walker, T. I. (2006b). Notes on population structure of the piked spurdog (Squalus megalops) in south-eastern Australia. Ciencias Marinas 32, 705–712.


Brown L. P., Bridge N. F., and Walker T. I. (2000). ‘Summary of Tag Releases and Recaptures in the Southern Shark Fisheries.’ Report No. 18. (Marine and Freshwater Research Institute: Queenscliff.)

Buckland, S. T. , Burnham, K. P. , and Augustin, N. H. (1997). Model selection: an integral part of inference. Biometrics 53, 603–618.
CrossRef |

Bulman, C. , Althaus, F. , He, X. , Bax, N. J. , and Williams, A. (2001). Diets and trophic guilds of demersal fishes of the south-eastern Australian shelf. Marine and Freshwater Research 52, 537–548.
CrossRef |

Burnham K. P., and Anderson D. R. (2002). ‘Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach.’ (Springer-Verlag: New York.)

Cailliet G. M. (1990). Elasmobranch age determination and verification: an updated review. In ‘Elasmobranchs as Living Resources: Advances in Biology, Ecology, Systematics, and the Status of the Fisheries’. (Eds H. L. Pratt Jr, S. H. Gruber and T. Taniuchi.) pp. 157–165. (NOAA Technical Report: Honolulu, Hawaii.)

Cailliet G. M., and Goldman K. J. (2004). Age determination and validation in chondrichthyan fishes. In ‘The Biology of Sharks and their Relatives’. (Eds J. F. Carrier, J. A. Musick and M. R. Heithaus.) pp. 399–447. (CRC Press: Boca Raton, FL.)

Campana, S. E. (2001). Accuracy, precision and quality control in age determination, including a review of the use and abuse of age validation methods. Journal of Fish Biology 59, 197–242.
CrossRef |

Campana, S. E. , Annand, M. C. , and McMillan, J. I. (1995). Graphical and statistical methods for determining the consistency of age determinations. Transactions of the American Fisheries Society 124, 131–138.
CrossRef |

Cannizzaro, L. , Rizzo, P. , Levi, D. , and Gancitano, S. (1995). Age-determination and growth of Squalus blainvillei (Risso, 1826). Fisheries Research 23, 113–125.
CrossRef |

Carlson, J. K. , and Baremore, I. E. (2005). Growth dynamics of the spinner shark (Carcharhinus brevipinna) off the United States southeast and Gulf of Mexico coasts: a comparison of methods. Fishery Bulletin 103, 280–291.


Cavanagh R. D., Kyne P. M., Fowler S. L., Musick J. A., and Bennett M. B. (2003). ‘The Conservation Status of Australasian Chondrichthyans: Report of the IUCN Shark Specialist Group Australia and Oceania Regional Red List Workshop.’ (The University of Queensland: Brisbane.)

Cerrato, R. M. (1990). Interpretable statistical tests for growth comparisons using parameters in the von Bertalanffy equation. Canadian Journal of Fisheries and Aquatic Sciences 47, 1416–1426.


Chang, W. Y. B. (1982). A statistical method for evaluating the reproducibility of age determination. Canadian Journal of Fisheries and Aquatic Sciences 39, 1208–1210.


Clarke, M. W. , Connolly, P. L. , and Bracken, J. J. (2002a). Catch, discarding, age estimation, growth and maturity of the squalid shark Deania calceus west and north of Ireland. Fisheries Research 56, 139–153.
CrossRef |

Clarke, M. W. , Connolly, P. L. , and Bracken, J. J. (2002b). Age estimation of the exploited deepwater shark Centrophorus squamosus from the continental slopes of the Rockall Trough and Porcupine Bank. Journal of Fish Biology 60, 501–514.
CrossRef |

Compagno L. J. V. (1984). ‘FAO Species Catalogue. Vol. 4. Sharks of the World. An Annotated and Illustrated Catalogue of Shark Species Known to Date. Part 1. Hexanchiformes to Lamniformes.’ Fisheries Synopsis No. 125. (Food and Agriculture Organization of the United Nations: Rome.)

Druffel, E. M. , and Linick, T. W. (1978). Radiocarbon in annual coral rings of Florida. Geophysical Research Letters 5, 913–916.


Fabens, A. J. (1965). Properties and fitting of the von Bertalanffy growth curve. Growth 29, 265–289.
PubMed |

Graham, K. J. (2005). Distribution, population structure and biological aspects of Squalus spp. (Chondrichthyes: Squaliformes) from New South Wales and adjacent Australian waters. Marine and Freshwater Research 56, 405–416.
CrossRef |

Graham, K. J. , Andrew, N. L. , and Hodgson, K. E. (2001). Changes in relative abundance of sharks and rays on Australian South East Fishery trawl grounds after twenty years of fishing. Marine and Freshwater Research 52, 549–561.
CrossRef |

Haddon M. (2001). ‘Modelling and Quantitative Methods in Fisheries.’ (Chapman & Hall/CRC: Boca Raton, FL.)

Hoenig, J. M. , Morgan, M. J. , and Brown, C. A. (1995). Analysing differences between two age determination methods by tests of symmetry. Canadian Journal of Fisheries and Aquatic Sciences 52, 364–368.


Holden, M. J. , and Meadows, P. S. (1962). The structure of the spine of the spur dogfish (Squalus acanthias L.) and its use for age determination. Journal of the Marine Biological Association of the United Kingdom 42, 179–197.


Irvine S. B. (2004). Age, growth and reproduction of deepwater dogfishes from southeastern Australia. Ph.D. Thesis, Deakin University, Warrnambool.

Ketchen, K. S. (1975). Age and growth of dogfish Squalus acanthias in British Columbia waters. Journal of the Fisheries Research Board of Canada 32, 43–59.


Kimura, D. K. (1980). Likelihood methods for the von Bertalanffy growth curve. Fishery Bulletin 77, 765–776.


Knight, W. (1968). Asymptotic growth: an example of nonsense disguised as mathematics. Journal of the Fisheries Research Board of Canada 25, 1303–1307.


Last P. R., and Stevens J. D. (1994). ‘Sharks and Rays of Australia.’ (CSIRO Publishing: Melbourne.)

Maisey, J. G. (1979). Finspine morphogenesis in squalid and heterodontid sharks. Zoological Journal of the Linnean Society 66, 161–183.


McFarlane G. A., and Beamish R. J. (1987). Validation of the dorsal spine method of age determination for spiny dogfish. In ‘Age and Growth of Fish’. (Eds R. C. Summerfelt and G. E. Hall.) pp. 287–300. (Iowa State University Press: Ames, IA.)

Mollet, H. F. , Ezcurra, J. M. , and O’Sullivan, J. B. (2002). Captive biology of the pelagic stingray, Dasyatis violacea (Bonaparte, 1832). Marine and Freshwater Research 53, 531–541.
CrossRef |

Moulton, P. L. , Walker, T. I. , and Saddlier, S. R. (1992). Age and growth studies of gummy shark, Mustelus antarcticus Günther, and school shark, Galeorhinus galeus (Linnaeus), from southern Australian waters. Australian Journal of Marine and Freshwater Research 43, 1241–1267.
CrossRef |

Nammack, M. F. , Musick, J. A. , and Colvocoresses, J. A. (1985). Life history of spiny dogfish off the Northeastern United States. Transactions of the American Fisheries Society 114, 367–376.
CrossRef |

Officer, R. A. , Gason, A. S. , Walker, T. I. , and Clement, J. G. (1996). Sources of variation in counts of growth increments in vertebrae from gummy shark, Mustelus antarcticus, and school shark, Galeorhinus galeus: implications for age determination. Canadian Journal of Fisheries and Aquatic Sciences 53, 1765–1777.
CrossRef |

Parsons, G. R. (1993). Age determination and growth of the bonnethead shark Sphyrna tiburo: a comparison of two populations. Marine Biology 117, 23–31.
CrossRef |

Ricker, W. E. (1975). Computation and interpretation of biological statistics of fish populations. Bulletin of the Fisheries Research Board of Canada 191, 1–382.


Roff, D. A. (1980). A motion for the retirement of the von Bertalanffy function. Canadian Journal of Fisheries and Aquatic Sciences 37, 127–129.


Simpfendorfer, C. A. (2000). Growth rates of juvenile dusky sharks, Carcharhinus obscurus (Lesueur, 1818), from southwestern Australia estimated from tag-recapture data. Fishery Bulletin 98, 811–822.


Soriano, M. , Moreau, J. , Hoenig, J. M. , and Pauly, D. (1992). New functions for the analysis of two-phase growth of juvenile and adult fishes, with application to Nile perch. Transactions of the American Fisheries Society 121, 486–493.
CrossRef |

Taniuchi T., and Tachikawa H. (1999). Geographical variation in age and growth of Squalus mitsukurii (Elasmobranchii: Squalidae) in the North Pacific. In ‘Proceedings of the 5th Indo-Pacific Fish Conference, Noumea, New Caledonia, 3–8 November 1997’. (Eds B. Séret and J. Y. Sire.) pp. 321–328. (Societe Francaise d’Ichtyologie: Paris.)

Tucker, R. (1985). Age validation studies on the spines of the spurdog (Squalus acanthias) using tetracycline. Journal of the Marine Biological Association of the United Kingdom 65, 641–651.


von Bertalanffy, L. (1938). A quantitative theory of organic growth (inquiries on growth laws. II). Human Biology 10, 181–213.


Vooren, C. M. (1992). Reproductive strategies of eight species of viviparous elasmobranchs from southern Brazil. Bulletin de la Societe Zoologique de France 117, 303–312.


Walker, T. I. , Hudson, R. J. , and Gason, A. S. (2005). Catch evaluation of target, by-product and by-catch species taken by gillnets and longlines in the shark fishery of south-eastern Australia. Journal of Northwest Atlantic Fishery Science 35, 505–530.


Walker, T. I. , Taylor, B. L. , Hudson, R. J. , and Cottier, J. P. (1998). The phenomenon of apparent change of growth rate in gummy shark (Mustelus antarcticus) harvested off southern Australia. Fisheries Research 39, 139–163.
CrossRef |

Watson, G. , and Smale, M. J. (1999). Age and growth of the shortnose spiny dogfish Squalus megalops from the Agulhas Bank, South Africa. South African Journal of Marine Science 21, 9–18.


Wilson, C. D. , and Seki, M. P. (1994). Biology and population characteristics of Squalus mitsukurii from a seamount in the Central North Pacific Ocean. Fishery Bulletin 92, 851–864.


Wintner, S. P. (2000). Preliminary study of vertebral growth rings in the whale shark, Rhincodon typus, from the east coast of South Africa. Environmental Biology of Fishes 59, 441–451.
CrossRef |



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