Estimating von Bertalanffy parameters with individual and environmental variations in growth

References

• Alonzo , S. H. , Switzer , P. V. and Mangel , M. 2003 . An ecosystem-based approach to management: Using individual behaviour to predict indirect effects of Antarctic krill fisheries on penguin foraging . J. Appl. Ecol. , 40 : 692 – 697 .
   Web of Science ®Google Scholar
• von Bertalanffy , L. 1938 . A quantitative theory of organic growth (inquiries on growth laws. II) . Human Biol. , 10 : 181 – 213 .
   Google Scholar
• Beverton , R. J.H. and Holt , S. J. 1957 . On the dynamics of exploited fish populations . UK Min. Agric. Fish. Fish. Invest. , 19 : 97 – 105 .
   Google Scholar
• von Bertalanffy , L. 1957 . Quantitative laws in metabolism and growth . Quart. Rev. Biol. , 32 : 217 – 231 .
   PubMed Web of Science ®Google Scholar
• Bjørnstad , O. N. and Hansen , T. F. 1994 . Individual variation and population dynamics . Oikos , 69 : 167 – 171 .
   Google Scholar
• Candy , S. and Kawaguchi , S. 2006 . Modelling growth of antarctic krill. II. Novel approach to describing the growth trajectory . Mar. Ecol. Prog. Ser. , 306 : 17 – 30 .
   Web of Science ®Google Scholar
• Carlson , S. , Kottas , A. and Mangel , M. 2010 . Bayesian analysis of size-dependent over-winter mortality from size-frequency distributions . Ecology , 91 : 1016 – 1024 .
   Web of Science ®Google Scholar
• Clutton-Brock , T. and Sheldon , B. C. 2010 . Individuals and populations: The role of long-term, individual-based studies of animals in ecology and evolutionary biology . Tren. Ecol. Evol. , 25 : 562 – 573 .
   PubMed Web of Science ®Google Scholar
• Connover , D. O. and Munch , S. B. 2002 . Sustaining fisheries yields over evolutionary time scales . Science , 297 : 94 – 96 .
   Web of Science ®Google Scholar
• Coulson , T. , Benton , T. G. , Lundberg , P. , Dall , S. R.X. , Kendall , B. E. and Gaillard , J.-M. 2006 . Estimating individual contributions to population growth: Evolutionary fitness in ecological time . Proc. R. Soc. Lond. B. Biol. , 273 : 547 – 556 .
   Web of Science ®Google Scholar
• Cressie , N. and Wikle , C. K. 2011 . Statistics for Spatial-Temporal Data , New York : John Wiley and Sons .
   Google Scholar
• Csilléry , K. , Blum , M. G.B. , Gaggiotti , O. E. and Frano¸is , O. 2010 . Approximate bayesian computation (ABC) in practice . Trends Ecol. Evol. , 25 : 410 – 418 .
   PubMed Web of Science ®Google Scholar
• Darimont , C. T. , Carlson , S. M. , Kinnison , M. T. , Paquete , P. C. , Reimchen , T. E. and Wilmers , C. C. 2009 . Human predators outpace other agents of trait change in the wild . Proc. Natl. Acad. Sci. USA , 106 : 952 – 954 .
   PubMed Web of Science ®Google Scholar
• DeAngelis , D. L. and Mooij , W. M. 2005 . Individual-based modeling of ecological and evolutionary processes . Ann. Rev. Ecol. Evol. Syst. , 36 : 147 – 168 .
   Web of Science ®Google Scholar
• DeAngelis , D. L. , Rose , K. A. , Crowder , L. B. , Marschall , E. A. and Lika , D. 1993 . Fish cohort dynamics: Application of complementary modeling approaches . Am. Nat. , 142 : 604 – 622 .
   Web of Science ®Google Scholar
• DeGroot , M. H. 1970 . Optimal Statistical Decisions , New York : McGraw Hill .
   Google Scholar
• Deriso , R. B. and Parma , A. M. 1988 . Dynamics of age and size for a stochastic population model . Can. J. Fish. Aquat. Sci. , 45 : 1054 – 1068 .
   Web of Science ®Google Scholar
• Essington , T. E. , Kitchell , J. F. and Walters , C. J. 2001 . The von Bertalanffy growth function, bioenergetics, and the consumption rates of fish . Can. J. Fish. Aquat. Sci. , 58 : 2129 – 2138 .
   Web of Science ®Google Scholar
• Eveson , J. P. , Polacheck , T. and Laslett , G. M. 2007 . Consequences of assuming an incorrect error structure in von Bertalanffy growth models: A simulation study . Can. J. Fish. Aquat. Sci. , 64 : 602 – 617 .
   Web of Science ®Google Scholar
• Fabens , A. J. 1965 . Properties and fitting of the von Bertalanffy growth curve . Growth , 29 : 265 – 289 .
   PubMedGoogle Scholar
• Francis , R. I.C.C. 1988 . Maximum likelihood estimation of growth and growth variability from tagging data . New Zealand J. Mar. Fresh. Res. , 22 : 42 – 51 .
   Web of Science ®Google Scholar
• Fujiwara , M. , Kendall , B. E. and Nisbet , R. M. 2004 . Growth autocorrelation and animal size variation . Ecol. Lett. , 7 : 106 – 113 .
   Web of Science ®Google Scholar
• Gelman , A. , Carlin , J. B. , Stern , H. S. and Rubin , D. B. 2004 . Bayesian Data Analysis , 2 , Boca Raton , FL : Chapman & Hall/CRC Press .
   Google Scholar
• Grant , P. R. and Grant , B. R. 2002 . Unpredictable evolution in a 30-year study of Darwin's finches . Science , 296 : 707 – 711 .
   PubMed Web of Science ®Google Scholar
• Grimm , V. and Uchmanski , J. 2002 . Individual variability and population regulation: A model of the significance of within-generation density dependence . Oecologia , 131 : 196 – 220 .
   Web of Science ®Google Scholar
• Gross , M. R. 1991 . Evolution of alternative reproductive strategies: Frequency-dependent sexual selection in male bluegill sunfish . Philos. Trans. R. Soc. Biol. Sci. , 332 : 59 – 66 .
   Web of Science ®Google Scholar
• Gudmundsson , G. 2005 . Stochastic growth . Can. J. Fish. Aquat. Sci. , 62 : 1746 – 1755 .
   Web of Science ®Google Scholar
• Hare , J. A. and Cowen , R. K. 1997 . Size, growth, development, and survival of the planktonic larvae of Pomatomus saltatrix (Pisces: Pomatomidae) . Ecology , 78 : 2415 – 2431 .
   Web of Science ®Google Scholar
• Harper , J. L. 1977 . The Population Biology of Plants , London : Academic Press .
   Google Scholar
• Harvey , C. J. 2009 . Effects of temperature change on demersal fishes in the California Current: A bioenergetics approach . Can. J. Fish. Aquat. Sci. , 66 : 1449 – 1461 .
   Web of Science ®Google Scholar
• He , J. X. and Bence , J. R. 2007 . Modeling annual growth variation using a hierarchical Bayesian approach and the von Bertalanffy growth function, with application to lake trout in souther Lake Huron . Trans. Amer. Fish. Soc. , 136 : 318 – 330 .
   Web of Science ®Google Scholar
• Helser , T. E. and Lai , H. L. 2004 . A Bayesian hierarchical meta-analysis of fish growth: With an example for North American largemouth bass, Micropterus salmoides . Ecol. Mod. , 178 : 399 – 416 .
   Web of Science ®Google Scholar
• Helser , T. E. , Stewart , I. J. and Lai , H.-L. 2007 . A Bayesian hierarchical meta-analysis of growth for the genus Sebastes in the eastern Pacific Ocean . Can. J. Fish. Aquat. Sci. , 64 : 470 – 485 .
   Web of Science ®Google Scholar
• Kawaguchi , S. , Candy , S. , King , R. , Naganobu , M. and Nicol , S. 2006 . Modelling growth of Antarctic Krill. I. Growth trends with sex, length, season, and region . Mar. Ecol. Prog. Ser. , 306 : 1 – 15 .
   Web of Science ®Google Scholar
• Kawaguchi , S. , Yoshida , T. , Finley , L. , Cramp , P. and Nicol , S. 2007 . The krill maturity cycle: A conceptual model of the seasonal cycle in Antarctic krill . Polar Biol. , 30 : 689 – 698 .
   Web of Science ®Google Scholar
• Kimura , D. K. 2008 . Extending the von Bertalanffy growth model using explanatory variables . CJFAS , 65 : 1879 – 1891 .
   Google Scholar
• Kitchell , J. F. , Stewart , D. J. and Weininger , D. 1977 . Applications of a bioenergetics model to yellow perch (Perca flaescens) and walleye (Stizostedion vitreum vitreum) . J. Fish. Res. Board Can. , 34 : 1922 – 1935 .
   Web of Science ®Google Scholar
• Knape , J. , Jonzen , N. , Skold , M. , Kikkawa , J. and McCallum , H. 2011 . Individual heterogeneity and senescence in Silvereyes on Heron Island . Ecology , 92 : 813 – 820 .
   Web of Science ®Google Scholar
• Kooijman , S. A.L.M. 2000 . Dynamic Energy and Mass Budgets in Biological Systems , 2 , Cambridge : Cambridge University Press .
   Google Scholar
• Koskella , B. and Lively , C. M. 2009 . Evidence for negative frequency-dependent selection during experimental coevoluation of a freshwater snail and a sterilizing trematode . Evolution , 63 : 2213 – 2221 .
   Web of Science ®Google Scholar
• Kruuk , L. E. 2004 . Estimating genetic parameters in natural populations using the ‘animal model’ . Phil. Trans. Roy. Soc. B , 359 : 873 – 890 .
   Web of Science ®Google Scholar
• Laslett , G. M. , Eveson , J. P. and Polacheck , T. 2002 . A flexible maximum likelihood approach for fitting growth curves to tag-recapture . Can. J. Fish. Aquat. Sci. , 59 : 976 – 986 .
   Web of Science ®Google Scholar
• Magnuson , J. J. 1962 . An analysis of aggressive behavior, growth, and competition for food and space in Medaka (Oryzias latipes (Pisces, Cyprinodontidae)) . Can. J. Zool. , 40 : 313 – 363 .
   Web of Science ®Google Scholar
• Mangel , M. 2006 . The Theoretical Biologist's Toolbox , Cambridge : Cambridge University Press .
   Google Scholar
• Metcalfe , N. B. , Taylor , A. C. and Thorpe , J. E. 1995 . Metabolic rate, social status and life-history strategies in Atlantic salmon . Anim. Behav. , 49 : 431 – 436 .
   Web of Science ®Google Scholar
• Nisbet , R. M. , Muller , E. B. , Lika , K. and Kooijman , S. A.L.M. 2000 . From molecules to ecosystems through dynamic energy budget models . J. Anim. Ecol. , 69 : 913 – 926 .
   Web of Science ®Google Scholar
• Palmer , A. R. 1984 . Prey selection by thaidid gastropods: some observational and experimental field tests of foraging models . Oecologia , 62 : 162 – 172 .
   Web of Science ®Google Scholar
• Parma , A. M. and Deriso , R. B. 1990 . Dynamics of age and size composition in a population subject to size-selective mortality: Effects of phenotypic variability in growth . Can. J. Fish. Aquat. Sci. , 47 : 274 – 289 .
   Web of Science ®Google Scholar
• Paszkowski , C. A. and Olla , B. L. 1985 . Social interaction of coho salmon (Oncorhynchus kisutch) smolts in seawater . Can. J. Zool. , 63 : 2401 – 2407 .
   Web of Science ®Google Scholar
• Pfister , C. A. and Stevens , F. R. 2002 . Genesis of size variability in plants and animals . Ecology , 83 : 59 – 72 .
   Web of Science ®Google Scholar
• Pfister , C. A. and Stevens , F. R. 2003 . Individual variation and environmental stochasticity: Implications for matrix model predictions . Ecology , 84 : 496 – 510 .
   Web of Science ®Google Scholar
• Pfister , C. A. and Wang , M. 2005 . Beyond size: Matrix projection models for populations where size is an incomplete descriptor . Ecology , 86 : 2673 – 2683 .
   Web of Science ®Google Scholar
• Pilling , G. M. , Kirkwood , G. P. and Walker , S. G. 2002 . An improved method for estimating individual growth variability in fish, and the correlation between von Bertalanffy growth parameters . Can. J. Fish. Aquat. Sci. , 59 : 424 – 432 .
   Web of Science ®Google Scholar
• 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 . Fish. Res. , 82 : 119 – 130 .
   Web of Science ®Google Scholar
• Quinn , T. P. and Deriso , R. 1999 . Quantitative Fish Dynamics , Oxford : Oxford University Press .
   Google Scholar
• R Development Core Team . R: A Language and Environment for Statistical Computing R Foundation for Statistical Computing, Vienna, Austria, 2011, ISBN 3-900051-07-0. Available at http://www.R-project.org.
   Google Scholar
• Rice , J. A. , Miller , T. J. , Rose , K. A. , Crowder , L. B. , Marschall , E. A. , Trebitz , A. S. and DeAngelis , D. L. 1993 . Growth rate variation and larval survival: Inferences from an individual-based size-dependent predation model . Can. J. Fish. Aq. Sci. , 50 : 133 – 142 .
   Web of Science ®Google Scholar
• Ricker , W. E. 1958 . Handbook of computations for biological statistics of fish populations . Fish. Res. Bd. Canada , Bulletin Number 119.
   Google Scholar
• Ryer , C. H. and Olla , B. L. 1996 . Growth depensation and aggression in laboratory reared coho salmon: The effect of food distribution and ration size . J. Fish Biol. , 48 : 686 – 694 .
   Web of Science ®Google Scholar
• Sainsbury , K. J. 1980 . Effect of individual variability on the von Bertalanffy growth equation . Can. J. Fish. Aquat. Sci. , 37 : 241 – 247 .
   Web of Science ®Google Scholar
• Schmitt , J. , Eccleston , J. and Ehrhardt , D. W. 1987 . Dominance and suppression, size-dependent growth and self thinning in a natural Impatiens capensis population . J. Ecol. , 75 : 651 – 665 .
   Web of Science ®Google Scholar
• Schmitt , J. , Ehrhardt , D. W. and Cheo , M. 1986 . Light-dependent dominance and suppression in experimental radish populations . Ecology , 67 : 1502 – 1507 .
   Web of Science ®Google Scholar
• Siegfried , K. I. and Sanso , B. 2006 . Two Bayesian methods for estimating parameters of the von Bertalanffy growth equation . Environ. Biol. Fish. , 77 : 301 – 308 .
   Web of Science ®Google Scholar
• Snover , M. L. , Watters , G. M. and Mangel , M. 2005 . Interacting effects of behavior and oceanography on growth in salmonids with examples for coho salmon (Oncorhynchus kisutch) . Can. J. Fish. Aquat. Sci. , 62 : 1219 – 1230 .
   Web of Science ®Google Scholar
• Snover , M. L. , Watters , G. M. and Mangel , M. 2006 . Top-down and bottom-up control of life history strategies in coho salmon (Oncorhynchus kisutch) . Am. Nat. , 167 : E140 – E157 .
   PubMed Web of Science ®Google Scholar
• Stopher , K. V. , Pemberton , J. M. , Clutton-Brock , T. H. and Coulson , T. 2008 . Individual differences, density dependence and offspring birth traits in a population of red deer . Proc. Roy. Soc. B. , 275 : 2137 – 2145 .
   Web of Science ®Google Scholar
• Tinker , M. T. , Bentall , G. and Estes , J. A. 2008 . Food limitation leads to behavioral diversification and dietary specialization in sea otters . Proc. Nat. Acad. Soc. USA , 105 : 560 – 565 .
   Web of Science ®Google Scholar
• Troynikov , V. S. 1998 . Probability density functions useful for parametrization of heterogeneity in growth and allometry data . Bull. Math. Biol. , 60 : 1099 – 1122 .
   Web of Science ®Google Scholar
• Vindenes , Y. , Engen , S. and Saether , B.-E. 2008 . Individual heterogeneity in vital parameters and demographic stochasticity . Am. Nat. , 171 : 455 – 467 .
   Web of Science ®Google Scholar
• Wang , Y.-G. 1998 . Effect of individual variability on estimation of population parameters from length-frequency data . Can. J. Fish. Aquat. Sci. , 55 : 2393 – 2401 .
   Web of Science ®Google Scholar
• Wang , Y.-G. , Thomas , M. R. and Somers , I. F. 1995 . A maximum likelihood approach for estimating growth from tag-recapture data . Can. J. Fish. Aquat. Sci. , 52 : 252 – 259 .
   Web of Science ®Google Scholar
• Weiner , J. 1985 . Size hierarchies in experimental populations of annual plants . Ecology , 66 : 743 – 752 .
   Web of Science ®Google Scholar
• West , L. 1986 . Interdividual variation in prey selection by the snail Nucella (=Thais) emarginata . Ecology , 67 : 789 – 809 .
   Web of Science ®Google Scholar
• Wiedenmann , J. , Creswell , K. and Mangel , M. 2008 . Temperature-dependent growth of Antarctic krill: Predictions for a changing climate from a cohort model . Mar. Ecol. Prog. Ser. , 358 : 191 – 202 .
   Web of Science ®Google Scholar
• Wood , S. N. 2010 . Statistical inference for noisy nonlinear ecological dynamic systems . Nature , 466 : 1102 – 1104 .
   PubMed Web of Science ®Google Scholar
• Yin , G. 2009 . Bayesian generalized method of moments . Bayesian Anal. , 4 : 191 – 208 .
   Web of Science ®Google Scholar