Journal ArticleDOI
A Comparison of von Bertalanffy and Polynomial Functions in Modelling Fish Growth Data
TLDR
Comparisons of the von Bertalanffy growth function (VBGF) and five polynomial functions (PF) in modelling fish growth for 16 populations comprising six species of freshwater fishes indicated that VBGF described growth data better than three- and four-parameter polynometric functions.Abstract:
We compared the von Bertalanffy growth function (VBGF) and five polynomial functions (PF) in modelling fish growth for 16 populations comprising six species of freshwater fishes. Ranked results of the variance explained by each growth function indicated that VBGF described growth data better than three- and four-parameter polynomial functions. Log-transforming length and age greatly improved the goodness-of-fit of the three-parameter polynomial function. Statistical comparison of growth between populations or sexes was done using a general linear model for polynomial functions. An analysis of residual sum of squares was proposed to compare the resultant VBGFs because the nonlinear formulation of the VBGF prevented traditional analysis of covariance procedures. Fitting of different growth functions to the same growth data set yielded the same result in the intra-species growth comparisons for three species (eight populations) but different results for two species (seven populations). Where ages of the fish...read more
Citations
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Interpreting the von Bertalanffy model of somatic growth in fishes: the cost of reproduction.
TL;DR: A model for somatic growth in fishes that explicitly allows for the energy demand imposed by reproduction is developed and is consistent with observed variations in the life–history traits of a large sample of iteroparous freshwater fishes.
Journal ArticleDOI
Age and growth studies of chondrichthyan fishes: the need for consistency in terminology, verification, validation, and growth function fitting
TL;DR: This work reviews age and growth studies of chondrichthyan fishes, using 28 recent studies to identify areas where improvements can be made in describing the characteristics of ageing structures utilized to estimate ages of sharks, rays, and chimaeras.
Journal ArticleDOI
Dynamic energy budget theory restores coherence in biology
TL;DR: The state of the art of the development of dynamic energy budget theory is presented, and its expected developments in the near future within the molecular, physiological and ecological domains are presented.
Journal ArticleDOI
A general, life history based model for regional management of fish stocks: the inland lake trout (Salvelinus namaycush) fisheries of Ontario
TL;DR: Life history characteristics of 54 Ontario lake trout populations vary with differences in lake area and total dissolved solids (TDS) and with these relationships included in an age-structured population model, it is found that the fishing mortality rate at maximum equilibrium yield ranges from 0.12· year -1 for a 100-ha, low-TDS lake to 0.37·year -1for a 10 000- Ha, high-T DS lake.
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From empirical patterns to theory: A formal metabolic theory of life.
TL;DR: The present study collects empirical evidence on growth, stoichiometry, feeding, respiration and energy dissipation and exhibits it as stylized biological facts, and formalizes assumptions and propositions in a metabolic theory that is fully consistent with the Dynamic Energy Budget theory.
References
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Journal ArticleDOI
The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance
TL;DR: The use of ranks to avoid the assumption of normality implicit in the analysis of variance has been studied in this article, where the use of rank to avoid normality is discussed.
Likelihood methods for the von Bertalanffy growth curve
TL;DR: In this paper, the authors examined likelihood methods for the von Bertalanffy growth curve under the assumption of independent, normally distributed errors, and examined the relationships between methods of estimation, failure of assumptions, constructing confidence regions, and applying likelihood ratio tests.
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Interpretable Statistical Tests for Growth Comparisons using Parameters in the von Bertalanffy Equation
TL;DR: It is concluded that the likelihood ratio test is the most accurate of the procedures considered in this study, and the parameter effects component of nonlinearity was found to be the principal factor biasing the t-, univariate χ2-, and T2-tests.