Identification of ontogenetic growth models for squid
Alexander I. Arkhipkin A C and Rubén Roa-Ureta A BA Falkland Islands Government Fisheries Department, PO Box 598, Stanley, Falkland Islands.
B Departamento de Oceanografía, Universidad de Concepción, PO Box 160-C, Concepción, Chile.
C Corresponding author. Email: aarkhipkin@fisheries.gov.fk
Marine and Freshwater Research 56(4) 371-386 https://doi.org/10.1071/MF04274
Submitted: 20 November 2004 Accepted: 1 April 2005 Published: 27 June 2005
Abstract
Several ontogenetic growth models were fitted to size-at-age data of twelve species of squid from the recent suborders Myopsina and Oegopsina. These squid represent different habitats of the world ocean – from shelf to meso- and bathypelagic waters and from tropical to polar regions. Two main criteria were used in selecting the squid: large sample size (>150 individuals) and wide range of ontogenetic coverage (>2/3 of the whole ontogenesis). The growth models used were the exponential, Gompertz, Schnute and ad hoc two-stage models. They were fitted to size-at-age data using maximum likelihood for estimation and Akaike weights for identification. In all species, the 4-parameter Schnute or the 3-parameter Gompertz models provided the best fit. Size at the inflection point of the growth curve for most squid was smaller than size at 50% maturity, suggesting that maturation is not a major cause of the change in growth rate for these species. Mathematical and statistical procedures to calculate standard measures of growth, such as the instantaneous relative rate of growth, G, which are valid for all continuous growth models, are also presented.
Acknowledgments
We would like to thank our colleagues in the Fisheries Department of the Falkland Islands Government (Stanley, Falkland Islands) for their help in collecting morphometric data and statoliths, to Janna Shcherbich for statolith ageing analysis and to Dr Lianos Triantafillos for comments that improved the paper. We are also grateful to two anonymous reviewers who pointed out deficiencies in an earlier version of the manuscript.
Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control 19, 716–723.
| Crossref | GoogleScholarGoogle Scholar |
Dawe, E. G. , and Beck, P. (1997). Population structure, growth and sexual maturation of short-finned squid (Illex illecebrosus) at Newfoundland. Canadian Journal of Fisheries and Aquatic Sciences 54, 137–146.
| Crossref | GoogleScholarGoogle Scholar |
Dawe, E. G. , O’Dor, R. K. , O’Dense, P. H. , and Hurley, G. V. (1985). Validation and application of an ageing technique for short-finned squid (Illex illecebrosus). Journal of the Northwest Atlantic Fishery Science 6, 107–116.
Forsythe, J. W. , DeRusha, R. H. , and Hanlon, R. T. (1994). Growth, reproduction and life span of Sepia officinalis (Cephalopoda: Mollusca) cultured through seven consequtive generations. Journal of Zoology 233, 175–192.
Lipinski, M. R. (2001). Growth of cephalopods: a conceptual model. Abhandlungen der Geologischen Bundesanstalt 57, 133–138.
Natsukari, Y. , and Komine, N. (1992). Age and growth estimation of the European squid, Loligo vulgaris, based on statolith microstructure. Journal of the Marine Biological Association of the UK 72, 271–280.
Richards, F. J. (1959). A flexible growth function for empirical use. Journal of Experimental Botany 10, 290–300.
Schnute, J. (1981). A versatile growth model with statistically stable parameters. Canadian Journal of Fisheries and Aquatic Sciences 38, 1128–1140.
Semmens, J. M. , Pecl, G. T. , Villanueva, R. , Jouffre, D. , Sobrino, I. , Wood, J. B. , and Rigby, P. R. (2004). Understanding octopus growth: patterns, variability and physiology. Marine and Freshwater Research 55, 367–378.
| Crossref | GoogleScholarGoogle Scholar |
Spratt, J. D. (1978). Age and growth of the market squid, Loligo opalescens Berry, in Monterey Bay. Fish Bulletin of the California Department of Fish and Game 169, 35–44.
Sweeney, M. J. , Roper, C. F. E. , Mangold, K. M. , Clarke, M. R. , and von Boletzky, S. (1992). ‘Larval’ and juvenile cephalopods: a manual for their identification. Smithsonian Contributions to Zoology 513, 1–282.
Tinbergen, L. , and Vervey, J. (1945). Zur biologie von Loligo vulgaris Lam. Archives Néerlandaises de Zoologie 7, 213–286.
Uozumi, Y. , and Ohara, H. (1993). Age and growth of Nototodarus sloanii (Cephalopoda: Oegopsida) based on daily increment counts in statoliths. Nippon Suisan Gakkai Shi 59, 1469–1477.
Verrill, A. E. (1881). The cephalopods of the northeastern coast of America. Part II. The smaller cephalopods including the squid and octopus, with other allied forms. Transactions of the Connecticut Academy of Science 5, 260–446.
West, G. B. , Brown, J. H. , and Enquist, B. J. (2001). A general model for ontogenetic growth. Nature 413, 628–631.
| Crossref | GoogleScholarGoogle Scholar | PubMed |
Yang, W. T. , Hixon, R. F. , Turk, P. E. , Krejci, M. E. , Hulet, W. H. , and Hanlon, R. T. (1986). Growth, behavior, and sexual maturation of the market squid, Loligo opalescens, cultured through life cycle. Fishery Bulletin (Washington, D.C.) 84, 771–798.