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Advances in the aquatic sciences
RESEARCH ARTICLE

Using length data in the Schnute Model to describe growth in a metapenaeid from waters off Australia

Steven S. Montgomery A C , Chris T. Walsh A , Malcolm Haddon B , Caitlin L. Kesby A and Daniel D. Johnson A
+ Author Affiliations
- Author Affiliations

A NSW Department of Primary Industries, Cronulla Fisheries Research Centre of Excellence, PO Box 21, Cronulla, NSW 2230, Australia.

B CSIRO Marine and Atmospheric Research, GPO Box 1538, Hobart, Tas 7001, Australia.

C Corresponding author. Email: steven.montgomery@dpi.nsw.gov.au

Marine and Freshwater Research 61(12) 1435-1445 https://doi.org/10.1071/MF10060
Submitted: 3 March 2010  Accepted: 14 August 2010   Published: 13 December 2010

Abstract

This paper presents a novel approach for fitting length data to the Schnute growth model. Cohorts were fitted manually to a time series of length distributions from two stocks (Clarence and Hunter Rivers) of Metapenaeus macleayi and considered analogous to individuals from tag–recapture data, in order to estimate growth parameters. Data for Clarence males best fitted the three-parameter Schnute Model (L = 21.3 mm CL, κ = 0.025 day–1 and γ = –1.35), whereas those for Hunter males were best fitted to a two-parameter version of the model (L = 33.5 mm CL, κ = 0.009 day–1 and γ = 0 fixed). The equivalent to the von Bertalanffy growth function was the best fit to female data from both stocks (L = 36.6 and 40.2 mm CL, κ = 0.004 and 0.005 day–1 and γ = 1 fixed for Clarence and Hunter respectively). Females grew larger than males and took longer to achieve their maximum size. No significant differences in female growth were found between stocks; however, males from the Hunter grew to a longer mean maximum length but at a slower rate than those from the Clarence. This study shows how the Schnute Model can be fitted to length based data and thus include the flexibility of comparing fits between asymptotic and non-asymptotic growth functions.

Additional keywords: growth models, length–frequency analyses, Metapenaeus macleayi, school prawn.


References

Baelde, P. (1994). Growth, mortality and yield-per-recruit of deep-water royal red prawns (Haliporoides sibogae) off eastern Australia, using the length-based MULTIFAN method. Marine Biology 118, 617–625.
Growth, mortality and yield-per-recruit of deep-water royal red prawns (Haliporoides sibogae) off eastern Australia, using the length-based MULTIFAN method.Crossref | GoogleScholarGoogle Scholar |

Baker, T. T., Lafferty, R., and Quinn, T. J. (1991). A general growth curve for mark–recapture data. Fisheries Research 11, 257–281.
A general growth curve for mark–recapture data.Crossref | GoogleScholarGoogle Scholar |

Broadhurst, M. K., Millar, R. B., Kennelly, S. J., Macbeth, W. G., Young, D. J., et al. (2004). Selectivity of conventional diamond- and novel square-mesh codends in an Australian estuarine penaeid-trawl fishery. Fisheries Research 67, 183–194.
Selectivity of conventional diamond- and novel square-mesh codends in an Australian estuarine penaeid-trawl fishery.Crossref | GoogleScholarGoogle Scholar |

Buckworth, R. C. (1992). Movements and growth of tagged blue endeavour prawns, Metapenaeus endeavouri (Schmitt 1926), in the Western Gulf of Carpentaria, Australia. Australian Journal of Marine and Freshwater Research 43, 1283–1299.
Movements and growth of tagged blue endeavour prawns, Metapenaeus endeavouri (Schmitt 1926), in the Western Gulf of Carpentaria, Australia.Crossref | GoogleScholarGoogle Scholar |

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.
Accuracy, precision and quality control in age determination, including a review of the use and abuse of age validation methods.Crossref | GoogleScholarGoogle Scholar |

Campos, J., Freittas, V., Pedrosa, C., Guillot, R., and van der Veer, H. W. (2009). Latitudinal variation in growth of Crangon crangon (L.): does counter-gradient growth compensation occur? Journal of Sea Research 62, 229–237.
Latitudinal variation in growth of Crangon crangon (L.): does counter-gradient growth compensation occur?Crossref | GoogleScholarGoogle Scholar |

Dall, W., Hill, B. J., Rothlisberg, P., and Staples, D. J. (1990). The biology of the ‘Penaeidae’. Advances in Marine Biology 27, 1–489..

Dichmont, C. M., Punt, A. E., Deng, A., Dell, Q., and Venables, W. (2003). Application of a weekly delay-difference model to commercial catch and effort data for tiger prawns in Australia’s Northern Prawn Fishery. Fisheries Research 65, 355–350.
Application of a weekly delay-difference model to commercial catch and effort data for tiger prawns in Australia’s Northern Prawn Fishery.Crossref | GoogleScholarGoogle Scholar |

Doubleday, Z., Semmens, J. M., Pecl, G., and Jackson, G. (2006). Assessing the validity of stylets as ageing tools in Octopus pallidus. Journal of Experimental Marine Biology and Ecology 338, 35–42.
Assessing the validity of stylets as ageing tools in Octopus pallidus.Crossref | GoogleScholarGoogle Scholar |

Fournier, D. A., Sibert, J. R., Majkowski, J., and Hampton, J. (1990). MULTIFAN a likelihood-based method for estimating growth parameters and age composition from multiple length frequency data sets illustrated using data for southern bluefin tuna (Thunnus maccoyii). Canadian Journal of Fisheries and Aquatic Sciences 47, 301–317..

Glaister, J. P. (1977). Ecological studies of Metapenaeus macleayi (Haswell) (Crustacea, Decapoda, Penaeidae) in the Clarence River region, northern New South Wales. M.Sc. Thesis, University of New England, Armidale.

Glaister, J. P. (1978a). Impact of river discharge on distribution and production of the school prawn Metapenaeus macleayi (Haswell) (Crustacea, Penaeidae) in the Clarence River region, northern New South Wales. Australian Journal of Marine and Freshwater Research 29, 311–323.
Impact of river discharge on distribution and production of the school prawn Metapenaeus macleayi (Haswell) (Crustacea, Penaeidae) in the Clarence River region, northern New South Wales.Crossref | GoogleScholarGoogle Scholar |

Glaister, J. P. (1978b). Movement and growth of tagged school prawns Metapenaeus macleayi (Haswell) (Crustacea, Penaeidae) in the Clarence River region, northern New South Wales. Australian Journal of Marine and Freshwater Research 29, 645–657.
Movement and growth of tagged school prawns Metapenaeus macleayi (Haswell) (Crustacea, Penaeidae) in the Clarence River region, northern New South Wales.Crossref | GoogleScholarGoogle Scholar |

Glaister, J. P., Lau, T., and MacDonall, V. C. (1987). Growth and migration of tagged eastern Australian king prawns, Penaeus plebejus Hess. Australian Journal of Marine and Freshwater Research 38, 225–241.
Growth and migration of tagged eastern Australian king prawns, Penaeus plebejus Hess.Crossref | GoogleScholarGoogle Scholar |

Gordon, G. N. G., Andrew, N. L., and Montgomery, S. S. (1995). Deterministic compartmental model of the eastern king prawn (Penaeus plebejus) fishery in New South Wales. Marine and Freshwater Research 46, 793–807.
Deterministic compartmental model of the eastern king prawn (Penaeus plebejus) fishery in New South Wales.Crossref | GoogleScholarGoogle Scholar |

Haddon, M. (2001). ‘Modelling and Quantitative Methods in Fisheries.’ (Chapman & Hall/CRC Press: Washington DC.)

Hartnoll, R. G. (1982). Growth. In ‘The Biology of Crustacea’. (Ed. D. E. Bliss.) pp. 111–196. (Academic Press: New York.)

Hearn, W. S., and Polacheck, T. (2003). Estimating long-term growth rate changes of southern bluefin tuna (Thunnus maccoyii) from two periods of tag–return data. Fishery Bulletin 101, 58–74..

Ives, M. C., Scandol, J. P., Montgomery, S. S., and Suthers, I. M. (2009). Modelling the possible effects of climate change on an Australian multi-fleet prawn fishery. Marine and Freshwater Research 60, 1211–1222.
Modelling the possible effects of climate change on an Australian multi-fleet prawn fishery.Crossref | GoogleScholarGoogle Scholar |

Katsanevakis, K. (2006). Modelling fish growth: model selection, multi-model inference and model selection uncertainty. Fisheries Research 81, 229–235.
Modelling fish growth: model selection, multi-model inference and model selection uncertainty.Crossref | GoogleScholarGoogle Scholar |

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..

Macbeth, W. G., Millar, R. B., Broadhurst, M. K., Hewitt, C. W., and Wooden, M. E. L. (2007). Intra-fleet variability in size selectivity of a square-mesh trawl codend for school prawns (Metapenaeus macleayi). Fisheries Research 86, 92–98.
Intra-fleet variability in size selectivity of a square-mesh trawl codend for school prawns (Metapenaeus macleayi).Crossref | GoogleScholarGoogle Scholar |

Pauly, D. (1980). On the interrelationships between natural mortality, growth parameters and mean environmental temperature in 175 fish stocks. Journal Du Conseil 39, 175–192..

Pauly, D., and Morgan, C. R. (1987). Length-based methods in fisheries research. ICLARM Conference Proceedings 13. International Centre for Living Aquatic Resources Management, Manila, Philippines, and Kuwait Institute for Scientific Research, Safat.

Punt, A. E., Hobday, D., Gerhard, J., and Troynikov, V. S. (2006). Modelling growth of rock lobsters, Jasus edwardsii, off Victoria, Australia using models that allow for individual variation in growth parameters. Fisheries Research 82, 119–130.
Modelling growth of rock lobsters, Jasus edwardsii, off Victoria, Australia using models that allow for individual variation in growth parameters.Crossref | GoogleScholarGoogle Scholar |

Punt, A. E., Buckworth, R. C., Dichmont, C. M., and Ye, Y. M. (2009). Performance of methods for estimating size-transition matrices using tag–recapture data. Marine and Freshwater Research 60, 168–182.
Performance of methods for estimating size-transition matrices using tag–recapture data.Crossref | GoogleScholarGoogle Scholar |

Quinn, T. J., II, and Deriso, R. B. (1999). ‘Quantitative Fish Dynamics.’ (Oxford University Press: Oxford.)

Richards, F. J. (1959). A flexible growth function for empirical use. Journal of Experimental Botany 10, 290–301.
A flexible growth function for empirical use.Crossref | GoogleScholarGoogle Scholar |

Ruello, N. V. (1971). Some aspects of the ecology of the school prawn Metapenaeus macleayi in the Hunter River region of New South Wales. M.Sc. Thesis, The University of Sydney.

Ruello, N. V. (1973a). Burrowing, feeding and spatial distribution of the school prawn Metapenaeus macleayi (Haswell) in the Hunter River region, Australia. Journal of Experimental Marine Biology and Ecology 13, 189–206.
Burrowing, feeding and spatial distribution of the school prawn Metapenaeus macleayi (Haswell) in the Hunter River region, Australia.Crossref | GoogleScholarGoogle Scholar |

Ruello, N. V. (1973b). Influence of rainfall on the distribution and abundance of the school prawn Metapenaeus macleayi (Haswell) in the Hunter River region, Australia. Marine Biology 23, 221–228.
Influence of rainfall on the distribution and abundance of the school prawn Metapenaeus macleayi (Haswell) in the Hunter River region, Australia.Crossref | GoogleScholarGoogle Scholar |

Ruello, N. V. (1977). Migration and stock studies on the Australian school prawn Metapenaeus macleayi. Marine Biology 41, 185–190.
Migration and stock studies on the Australian school prawn Metapenaeus macleayi.Crossref | GoogleScholarGoogle Scholar |

Sainsbury, K. J. (1980). Effect of individual variability on the von Bertalanffy growth equation. Canadian Journal of Fisheries and Aquatic Sciences 37, 241–247.
Effect of individual variability on the von Bertalanffy growth equation.Crossref | GoogleScholarGoogle Scholar |

Schnute, J. (1981). A versatile growth model with statistically stable parameters. Canadian Journal of Fisheries and Aquatic Sciences 38, 1128–1140.
A versatile growth model with statistically stable parameters.Crossref | GoogleScholarGoogle Scholar |

Sheehy, M., Caputi, N., Chubb, C., and Belchier, M. (1998). Use of lipofuscin for resolving cohorts of western rock lobster (Panulirus cygnus). Canadian Journal of Fisheries and Aquatic Sciences 55, 925–936.
Use of lipofuscin for resolving cohorts of western rock lobster (Panulirus cygnus).Crossref | GoogleScholarGoogle Scholar |

Wahle, R. A., and Fogarty, M. J. (2006). Growth and development: understanding and modelling growth variability in lobsters. In ‘Lobsters – Biology, Management, Aquaculture and Fisheries’. (Ed. B. F. Phillips.) pp. 1–44. (Blackwell Publishing: Oxford.)

Yamada, R., Kodama, K., Yamakawa, T., Horiguchi, T., and Aoki, I. (2007). Growth and reproductive biology of the small penaeid shrimp Trachysalambria curvirostris in Tokyo Bay. Marine Biology 151, 961–971.
Growth and reproductive biology of the small penaeid shrimp Trachysalambria curvirostris in Tokyo Bay.Crossref | GoogleScholarGoogle Scholar |