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A new framework for growth curve fitting based on the von Bertalanffy Growth Function.

Laura Lee1, David Atkinson2, Andrew G Hirst3,4

  • 1Department of Evolution, Ecology and Behaviour, University of Liverpool, Liverpool, UK. lauralee@liverpool.ac.uk.

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A new framework enhances the von Bertalanffy growth function (VBGF) for better organism growth predictions. This flexible model captures diverse growth rates and body-size scaling in aquatic invertebrates, improving ecological assessments.

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Area of Science:

  • * Ecology and Evolutionary Biology
  • * Quantitative Biology and Bioinformatics

Background:

  • * Organismal growth is fundamental, but existing growth functions often fail to accurately model empirical data due to inflexibility.
  • * The von Bertalanffy growth function (VBGF) is widely used but has limitations in capturing growth rate variations and body-size scaling.

Purpose of the Study:

  • * To introduce a novel, flexible VBGF framework for improved fitting of growth curves across diverse taxa.
  • * To expand the VBGF's applicability by incorporating variable body-size scaling exponents for anabolism and supra-exponential growth patterns.

Main Methods:

  • * Development of a curve-fitting procedure for five VBGF parameterizations.
  • * Application of the framework to twelve diverse aquatic invertebrate species (pelagic and benthic).
  • * Analysis of body-size scaling exponents for biosynthesis potential and growth rate.

Main Results:

  • * Widespread variation in the body-size scaling of biosynthesis potential was observed across species.
  • * Growth patterns ranged from isomorphic to supra-exponential, highlighting the limitations of fixed-exponent models.
  • * The new framework demonstrated improved fitting and flexibility for diverse growth trajectories.

Conclusions:

  • * The enhanced VBGF framework provides more accurate and flexible growth predictions for a broader range of organisms.
  • * Understanding variations in biosynthesis potential scaling is crucial for ecological assessments.
  • * Reliable growth predictions are vital for fisheries, aquaculture sustainability, and ecosystem functioning.