On the exponent in the Von Bertalanffy growth model

Renner-Martin, Katharina; Brunner, Norbert; Kühleitner, Manfred; Nowak, Werner Georg; Scheicher, Klaus

doi:10.7717/peerj.4205

Cited by 28 publications

(23 citation statements)

References 61 publications

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“…However, catch data for fish seem not to support this statement. The authors [17] investigated a set of 60 data for different species (37 for fish) and fitted Equation (1) with the exponent b = 1 (generalized von Bertalanffy model). They found that for 17 of 37 fish-data, but only for one non-fish species, any exponent a could be used to model mass-growth without affecting the fit to the data significantly (when the other free parameters p, q, m 0 were optimized).…”

Section: Shape Of the Growth Curvesmentioning

confidence: 99%

A Model for the Mass-Growth of Wild-Caught Fish

Renner-Martin¹,

Brunner²,

Kühleitner³

et al. 2019

OJMSi

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The paper searched for raw data about wild-caught fish, where a sigmoidal growth function described the mass growth significantly better than non-sigmoidal functions. Specifically, von Bertalanffy's sigmoidal growth function (metabolic exponent-pair a = 2/3, b = 1) was compared with unbounded linear growth and with bounded exponential growth using the Akaike information criterion. Thereby the maximum likelihood fits were compared, assuming a lognormal distribution of mass (i.e. a higher variance for heavier animals). Starting from 70+ size-at-age data, the paper focused on 15 data coming from large datasets. Of them, six data with 400-20,000 data-points were suitable for sigmoidal growth modeling. For these, a custom-made optimization tool identified the best fitting growth function from the general von Bertalanffy-Pütter class of models. This class generalizes the well-known models of Verhulst (logistic growth), Gompertz and von Bertalanffy. Whereas the best-fitting models varied widely, their exponent-pairs displayed a remarkable pattern, as their difference was close to 1/3 (example: von Bertalanffy exponent-pair). This defined a new class of models, for which the paper provided a biological motivation that relates growth to food consumption.

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Section: Shape Of the Growth Curvesmentioning

confidence: 99%

A Model for the Mass-Growth of Wild-Caught Fish

Renner-Martin¹,

Brunner²,

Kühleitner³

et al. 2019

OJMSi

Self Cite

View full text Add to dashboard Cite

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“…The von Bertalanffy equation is a logistic model widely applied to describe the growth of different types of populations [32][33][34].…”

Section: Examplementioning

confidence: 99%

Conformable Laplace Transform of Fractional Differential Equations

Silva

Moreira

Moret

2018

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In this paper, we use the conformable fractional derivative to discuss some fractional linear differential equations with constant coefficients. By applying some similar arguments to the theory of ordinary differential equations, we establish a sufficient condition to guarantee the reliability of solving constant coefficient fractional differential equations by the conformable Laplace transform method. Finally, the analytical solution for a class of fractional models associated with the logistic model, the von Foerster model and the Bertalanffy model is presented graphically for various fractional orders. The solution of the corresponding classical model is recovered as a particular case.

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“…The Von Bertalanffy equation is a logistic model widely applied to describe growth of different types of populations [27][28][29].…”

Section: Examplementioning

confidence: 99%

Conformable Laplace Transform of Fractional Differential Equations

Silva¹,

Moreira²,

Moret³

2018

Preprint

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In this paper we use the conformable fractional derivative to discuss some fractional linear differential equations with constant coefficients. By applying some similar arguments to the theory of ordinary differential equations, we establish a sufficient condition to guarantee the reliability of solving constant coefficient fractional differential equations by the conformable Laplace transform method. Finally, we analyze the analytical solution for a class of fractional models associated with Logistic model, Von Foerster model and Bertalanffy model is presented graphically for various fractional orders and solution of corresponding classical model is recovered as a particular case.

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On the exponent in the Von Bertalanffy growth model

Cited by 28 publications

References 61 publications

A Model for the Mass-Growth of Wild-Caught Fish

A Model for the Mass-Growth of Wild-Caught Fish

Conformable Laplace Transform of Fractional Differential Equations

Conformable Laplace Transform of Fractional Differential Equations

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