Growth functions that incorporate the cost of reproduction

Fisheries Research

Volumn 180, Issue , 2016, Pages 31-44

  Minte Vera, Carolina V ^a,b   Maunder, Mark N ^a,c   Casselman, John M ^d   Campana, Steven E ^e  

^a INTER AMERICAN TROPICAL TUNA COMMISSION   (United States)

^b Programa de Pos Graduacão em Ecologia de Ambientes Aquáticos Continentais PEA   (Brazil)

^c Center for the Advancement of Population Assessment Methodology (CAPAM)   (United States)

^d QUEEN S UNIVERSITY   (Canada)

^e UNIVERSITY OF ICELAND   (Iceland)

Author keywords

Arctic lake trout; Biphasic growth; Integrated modelling; Maturity; Reproduction; Salvelinus namaycush

Indexed keywords

EID: 84949057718     PISSN: 01657836     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fishres.2015.10.023     Document Type: Article

References (41)

1. Aires-da-Silva A.M., Maunder M.N., Schaefer K.M., Fuller D.W. Improved growth estimates from integrated analysis of direct agingand tag-recapture data: an illustration with bigeye tuna (Thunnus obesus) of the eastern Pacific Ocean with implications for management. Fish. Res. 2015, 163:126-199. http://dx.doi.org/10.1016/j.fishres.2014.04.001.
2. Akaike H. Information theory and an extension of the maximum likelihood principle. Second International Symposium on Information Theory 1973, 267-281. Akademiai Kiado, Budapest. B.N. Petrov, F. Csaki (Eds.).
3. Blackie C.T., Weese D.J., Noakes D.L.G. Evidence for resource polymorphism in the lake charr (Salvelinus namaycush) population of Great Bear Lake, Northwest Territories, Canada. Écoscience 2003, 10:509-514. http://www.jstor.org/stable/42901561.
4. Boukal D.S., Dieckmann U., Enberg K., Heino M., Jørgensen C. Life-history implications of the allometric scaling of growth. J. Theor. Biol. 2014, 359:199-207. 10.1016/j.jtbi.2014.05.022.
5. Brody S. Bioenergetics and Growth 1945, Reinhold Publishing Corporation, New York.
6. Brown J.H., Gillooly J.F., Allen A.P., Savage, van M., West G.B. Towards a metabolic theory of ecology. Ecology 2004, 85:1771-1789. 10.1890/03-9000.
7. Burnham K.P., Anderson D.R. Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach 2002, Springer-Verlag, New York, http://www.springer.com/us/book/9780387953649. Second ed.
8. Campana S.E., Casselman J.M., Jones C.M. Bomb radiocarbonchronologies in the Arctic, with implication for the age validation of lake trout (Salvelinus namaycush) and other Arctic species. Can. J. Fish. Aquat. 2008, 65:733-743. http://dx.doi.org/10.1139/f08-012.
9. Chen Y., Fournier D. Impacts of atypical data on Bayesian inference and robust Bayesian approach in fisheries. Can. J. Fish. Aquat. Sci. 1999, 56:1525-1533. 10.1139/f99-076.
10. Clarke A., Johnson N.M. Scaling of metabolic rate with body mass and temperature in teleost fish. J. Anim. Ecol. 1999, 68:893-905. 10.1046/j.1365-2656.1999.00337.x.
11. Day T., Taylor P.D. von Bertalanffy's growth equation should not be used to model age and size at maturity. Am. Nat. 1997, 149:381-393. http://www.jstor.org/stable/2463400.
12. Essington T.E., Kitchell J.F., Walters C.J. The von Bertalanffy growth function, bioenergetics, and the consumption rates of fish. Can. J. Fish. Sci. 2001, 58:2129-2138. 10.1139/f01-151.
13. Fournier, D.A., (2015). An Introduction to AD Model Builder for use in nonlinear modeling and statistics. Version 11.4. http://admb-project.org/documentation/manuals.
14. Fournier D.A., Skaug H.J., Ancheta J., Ianelli J., Magnusson A., Maunder M.N., Nielsen A., Sibert J. AD model builder: using automatic differentiation for statistical inference of highly parameterized complex nonlinear models. Optim. Methods Software 2012, 27:233-249. http://dx.doi.org/10.1080/10556788.2011.597854.
15. Francis R.I.C.C. Data weighting in statistical fisheries stock assessment models. Can. J. Fish. Sci. 2011, 68:1124-1138. 10.1139/f2011-025.
16. Gompertz B. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philos. Trans. R. Soc. London 1825, 123:513-583. http://www.jstor.org/stable/107756.
17. Hordyk A., Ono K., Sainsbury K., Loneragan N., Prince J. Some explorations of the life history ratios to describe length composition, spawning-per-recruit, and the spawning potential ratio. ICES J. Mar. Sci. 2015, 72:204-216. 10.1093/icesjms/fst235.
18. Hordyk A., Ono K., Valencia S., Loneragan N., Prince J. A novel length-based empirical estimation method of spawning potential ratio (SPR), and tests of its performance, for small-scale, data-poor fisheries. Ices J. Mar. Sci. 2015, 72:217-231. http://dx.doi.org/10.1093/icesjms.
19. Hurvich C.M., Tsai C.-L. Regression and time series model selection in small samples. Biometrika 1989, 76:297-307. http://www.jstor.org/stable/2336663.
20. Killen S.S., Atkinson D., Glazier D.S. The intraspecific scaling of metabolic rate with body mass in fishes depends on lifestyle and tempetarature. Ecol. Lett. 2010, 13:184-193. 10.1111/j.1461-0248.2009.01415.x.
21. Laslett G.M., Everson J.P., Polacheck T. A flexible maximum likelihood approach for fitting growth curves to tag-recapture data. Can. J. Aquat. Sci. 2002, 59:976-986. 10.1139/f02-069.
22. Lester N.P., Shuter B.J., Abrams P.A. Interpreting the von Bertalanffy model of somatic growth in fishes: the cost of reproduction. Proc. R. Soc. London 2004, 271:1625-1631. 10.1098/rspb.2004.2778.
23. Lester P.N., Shuter B.J., Venturelli P., Nadeau D. Life-history plasticity and sustainable exploitation: a theory of growth compensation applied to walleye management. Ecol. Appl. 2014, 24:38-54. 10.1890/12-2020.1.
24. Maunder M.N., Piner K.R. Contemporary fisheries stock assessment: many issues still remain. ICES J. Mar. Sci. 2015, 72:7-18. 10.1093/icesjms/fsu015.
25. Methot R.D., Wetzel, C.R. Stock synthesis: a biological and statistical framework for fish stock assessment and fishery management. Fish. Res. 2013, 142:86-99. 10.1016/j.fishres.2012.10.012.
26. Ohnishi S., Yamakawa T., Okamura H., Akamine T. A note on the von Bertalanffy growth function concerning the allocation of surplus energy to reproduction. Fish Bull. 2012, 110:223-229. http://fishbull.noaa.gov/1102/ohnishi.pdf.
27. Porch C.E., Wilson C.A., Nieland D.L. A new growth model for red drum (Sciaenops ocellatus) that accommodates seasonal and ontogenic changes in growth rates. Fish. Bull. 2002, 100:149-152. http://fishbull.noaa.gov/1001/por.pdf.
28. Prince J., Hordyk A., Valencia S.R., Loneragan N., Sainsbury K. Revisiting the concept of Beverton-Holt life-history invariants with the aim of informing data-poor fisheries assessment. ICES J. Mar. Sci. 2015, 72:194-203. 10.1093/icesjms/fsu011.
29. Quince C., Shuter B.J., Abrams P.A., Lester N.P. Biphasic growth in fish I: theoretical foundations. J. Theor. Biol. 2008, 254:197-206. 10.1016/j.jtbi.2008.05.029.
30. Quince C., Shuter B.J., Abrams P.A., Lester N.P. Biphasic growth in fish II: empirical assessment. J. Theor. Biol. 2008, 254:207-214. 10.1016/j.jtbi.2008.05.030.
31. Quinn T.J., Deriso R.B. Quantitative Fish Dynamics Ed 1999, Oxford University Press, New York.
32. Ratkowsky D.A. Statistical properties of alternative parameterizations of the von Bertalanffy growth curve. Can. J. Fish. Aquat. Sci. 1986, 43:742-747. 10.1139/f86-091.
33. Richards F.J. A flexible growth function for empirical use. J. Exp. Bot. 1959, 10:290-301. 10.1093/jxb/10.2.290.
34. Roff D.A. An allocation model of growth and reproduction in fish. Can. J. Fish. Aquat. Sci. 1983, 40:1395-1404. http://dx.doi.org/10.1139/f83-16.
35. Ross G.J.S. The efficient use of function minimization in non-linear maximum-likelihood estimation. J. R. Stat. Soc. Ser. C 1970, 19:205-221. 10.2307/2346325.
36. Schnute J. A versatile growth-model with statistically stable parameters. Can. J. Fish. Aquat. Sci. 1981, 38:1128-1140. http://www.nrcresearchpress.com/doi/abs/10.1139/f81-153#.ViUrrCu0csQ.
37. Schnute J., Fournier D. A new approach to length-frequency analysis: growth structure. Can. J. Aquat. Sci. 1980, 37:1337-1351. 10.1139/f80-172.
38. Soriano M., Moreau J., Hoenig J.M., Pauly D. New functions for the analysis of two-phase growth of juvenile and adult fishes, with application to Nile Perch. Trans. Am. Fish. Soc. 1992, 121:486-493.
39. Thornley J.H., France J. Mathematical Models in Agriculture: Quantitative Methods for the Plant, Animal and Ecological Sciences 2007, CABI, Wallingford. Second ed.
40. von Bertalanffy L. A quatitative theory of organic growth. Hum. Biol. 1938, 10:181-213. http://www.jstor.org/stable/41447359.
41. von Bertalanffy L. Quantitative laws in metabolism and growth. Q. Rev. Biol. 1957, 32:217-231. 10.1086/401873.