Biphasic growth in fish I: Theoretical foundations

Journal of Theoretical Biology

Volumn 254, Issue 2, 2008, Pages 197-206

  Quince, Christopher ^a   Abrams, Peter A ^a   Shuter, Brian J ^a,b   Lester, Nigel P ^a,b  

^a UNIVERSITY OF TORONTO   (Canada)

^b ONTARIO MINISTRY OF NATURAL RESOURCES   (Canada)

Author keywords

Biphasic; Growth model; Indeterminate; Optimal; von Bertalanffy

Indexed keywords

BIOENERGETICS; FISH; GROWING SEASON; GROWTH MODELING; MATURATION; REPRODUCTION; REPRODUCTIVE STRATEGY; RESOURCE ALLOCATION; SALMONID;

ARTICLE; BIOENERGY; BODY GROWTH; ENERGY TRANSFER; FITNESS; GONAD; GROWING SEASON; MATURATION; PRIORITY JOURNAL; REPRODUCIBILITY; THEORETICAL MODEL; TROUT;

ANIMALS; ENERGY METABOLISM; FISHES; MODELS, BIOLOGICAL; MODELS, STATISTICAL; SEASONS; SEXUAL MATURATION;

SALVELINUS NAMAYCUSH;

EID: 50149101344     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.05.029     Document Type: Article

References (44)

1. Abrams P.A., and Rowe L. The effects of predation on the age and size of maturity of prey. Evolution 50 (1996) 1052-1061
2. Andersen K.H., and Beyer J.E. Asymptotic size determines species abundance in the marine size spectrum. Am. Nat. 168 (2006) 54-61
3. Andersen K.H., Farnsworth K.D., Thygesen U.H., and Beyer J.E. The evolutionary pressure from fishing on size at maturation of baltic cod. Ecol. Model. 204 (2007) 246-252
4. Cardoso J.F.M.F., van der Veer H.W., and Kooijman S.A.L.M. Body-size scaling relationships in bivalve species: a comparison of field data with predictions by the dynamic energy budget (DEB) theory. J. Sea Res. 56 (2006) 125-139
5. Charlesworth B. Evolution in Age-structured Populations (1980), Cambridge University Press, Cambridge (Chapter 5)
6. Charnov E.L. Life History Invariants (1993), Oxford University Press, Oxford
7. Chen Y., Jackson D.A., and Harvey H.H. A comparison for von Bertalanffy and polynomial function in modelling fish growth data. Can. J. Fish. Aquat. Sci. 46 (1992) 1228-1235
8. Czarnoleski M., and Kozlowski J. Do Bertalanffy's growth curves result from optimal resource allocation. Ecol. Lett. 1 (1998) 5-7
9. Day T., and Taylor P.D. Von Bertalanffy's growth equation should not be used to model age and size at maturity. Am. Nat. 149 (1997) 381-393
10. Essington T.E., Kitchell J.F., and Walters C.J. The von Bertalanffy growth function, bioenergetics, and the consumption rates of fish. Can. J. Fish. Aquat. Sci. 58 (2001) 2129-2138
11. Gallucci V.F., and Quinn T.J. Reparameterizing, fitting, and testing a simple growth-model. Trans. Am. Fish. Soc. 108 (1979) 14-25
12. Hanson, P.C., Johnson, T.B., Schindler, D.E., Kitchell, J.F., 1997. Fish Bioenergetics 3.0. University of Wisconsin Sea Grant Institute, Madison.
13. Helser T., and Lai H.-L. A Bayesian hierarchial meta-analysis of fish growth: with an example for North American largemouth bass, Micropterus salmoides. Ecol. Model. 178 (2004) 399-416
14. Iles T.D. The tactics and strategy of growth in fishes. In: Jones F.R.H. (Ed). Sea Fisheries Research (1974), Paul Elek, London 331-346
15. Jørgensen C., and Fiksen Ø. State dependent energy allocation in cod (Gadus morhua). Can. J. Fish. Aquat. Sci. 63 (2006) 186-199
16. Kirby S., Lamare M.D., and Barker M.E. Growth and morphometrics in the New Zealand sea urchin Pseudechinus huttoni (echinoidea: Temnopleuridae). N. Zeal. J. Mar. Fresh. Res. 40 (2006) 413-428
17. Kooijman S.A.L.M. Population dynamics on the basis of energy budgets. In: Metz J.A.J., and Diekmann O. (Eds). The Dynamics of Physiologically Structured Populations (1986), Springer, Berlin, Germany 266-297
18. Kooijman S.A.L.M. Dynamic Energy Budgets in Biological Systems: Theory and Applications in Ecotoxicology (1993), Cambridge University Press, New York, USA
19. Kozlowski J. Optimal allocation of resources explains interspecific life history patterns in animals with indeterminate growth. Proc. R. Soc. Lond. B 263 (1996) 559-566
20. Kozlowski J., and Teriokhin A.T. Allocation of energy between growth and reproduction: the Pontryagin maximum principle solution for the case of age- and season-dependent mortality. Evol. Ecol. Res. 1 (1999) 423-441
21. Lauer T.E., Shroyer S.M., Kilpatrick J.M., McComish T.S., and Allen P.J. Yellow perch length-fecundity and length-egg size relationships in Indiana waters of Lake Michigan. N. Am. J. Fish. Man. 25 (2005) 791-796
22. Leclair M.H., Levasseur M., and Leclair R. Life-history traits of Plethodon cinereus in the northern parts of its range: variations in population structure, age and growth. Herpet. 62 (2006) 252-282
23. Lester N.P., Shuter B.J., and Abrams P.A. Interpreting the von Bertalanffy model of somatic growth in fishes: the cost of reproduction. Proc. R. Soc. Lond. B 271 (2004) 1625-1631
24. Lika K., and Kooijman S.A.L.M. Life history implications of allocation to growth versus reproduction in dynamic energy budgets. Bull. Math. Biol. 65 (2003) 809-834
25. Mylius S.D., and Diekmann O. On evolutionarily stable life histories, optimization and the need to be specific about density dependence. Oikos 74 (1995) 218-224
26. Nisbet R.M., Muller E.B., Lika K., and Kooijman S.A.L.M. From molecules to ecosystems through dynamic energy budget models. J. Anim. Ecol. 69 (2000) 913-926
27. Nisbet R.M., McCauley E., Gurney W.S.C., Murdoch W.W., and Wood S.N. Formulating and testing a partially specified dynamic energy budget model. Ecology 85 (2004) 3132-3139
28. Pauly D. The relationship between gill surface area and growth performance in fish: a generalization of von Bertalanffy's theory of growth. Meeresforschung 28 (1981) 251-282
29. Persson L., Andersson J., Wahlstrom E., and Eklov P. Size-specific interactions in lake systems: predator gape limitation and prey growth rate and mortality. Ecology 77 (1996) 900-911
30. Peters R.H. The Ecological Implications of Body Size (1983), Cambridge University Press, Cambridge
31. Pinheiro M.A.A., and Hattori G.Y. Growth of the speckled swimming crab, Arenaeus cribrarius (Lamarck, 1818) (Crustacea, Brachyura, Portunidae), in Ubatuba (SP), Brazil. J. Nat. Hist. 40 (2006) 1331-1341
32. Quince, C., Shuter, B.J., Abrams, P.A., Lester, N.P., 2008. Biphasic growth in fish II: empirical assessment. J. Theor. Biol., doi:10.1016/j.jtbi.2008.05.030.
33. Reiss M.J. The Allometry of Growth and Reproduction (1989), Cambridge University Press, Cambridge (Chapter 5)
34. Ricker W.E. Computation and interpretation of biological statistics of fish populations. Bull. Fish. Res. Board Can. 191 (1975) 1-382
35. Roff D.A. Life History Evolution (2002), Sinauer Associates, Cambridge, MA
36. Shuter B.J., Lester N.P., LaRose J., Purchase C.F., Vascotto K., Morgan G., Collins N.C., and Abrams P.A. Optimal life histories and food web position: linkages among somatic growth, reproductive investment and mortality. Can. J. Fish. Aquat. Sci. 62 (2005) 738-746
37. Siegfried K.I., and Sanso B. Two Bayesian methods for estimating parameters of the von Bertalanffy growth equation. Environ. Biol. Fish. 77 (2006) 301-308
38. Stewart D.J., Weininger D., Rottiers D.V., and Edsall T.A. An energetics model for lake tout, Salvelinus namaycush: application to the Lake Michigan population. Can. J. Fish. Aquat. Sci. 40 (1983) 681-698
39. Thygesen U.H., Farnsworth K.D., Andersen K.H., and Beyer J.E. How optimal life history changes with the community size-spectrum. Proc. Roy. Soc. B 272 (2005) 1323-1331
40. Tucker A.D., Limpus C.K., McDonald K.R., and McCallum H.I. Growth dynamics of freshwater crocodiles (Crocodylus johnstoni) in the Lynd River. Queensland Aust. J. Zool. 54 (2006) 409-415
41. Ursin E. Principles of growth in fishes. Symp. Zool. Soc. Lond. 44 (1979) 63-87
42. von Bertalanffy L. A quantitative theory of organic growth. Hum. Biol. 10 (1938) 181-213
43. West G.B., Brown J.H., and Enquist B.J. A general model for ontogenetic growth. Nature 413 (2001) 628-631
44. Zivkov M., and Petrova G. On the pattern of correlation between the fecundity, length, weight and age of pikeperch Stizostedion lucioperca. J. Fish Biol. 43 (1993) 173-182