A novel growth function incorporating the effects of reproductive energy allocation

Ontogenetic growth functions provide basic information in biological and ecological studies. Various growth functions classified into the Pütter model have been used historically, regardless of controversies over their appropriateness. Here, we present a novel growth function for fish and aquatic or...

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Bibliographic Details
Published in:PloS one 2018-06, Vol.13 (6), p.e0199346-e0199346
Main Authors: Manabe, Akihiro, Yamakawa, Takashi, Ohnishi, Shuhei, Akamine, Tatsuro, Narimatsu, Yoji, Tanaka, Hiroshige, Funamoto, Tetsuichiro, Ueda, Yuji, Yamamoto, Takeo
Format: Article
Language:English
Subjects:
Age
Animal behavior
Animals
Aquatic organisms
Aquatic Organisms - growth & development
Aquatic Organisms - physiology
Biology and Life Sciences
Body size
Earth Sciences
Ecological monitoring
Ecological studies
Education
Energy
Energy Metabolism
Fish
Fisheries
Fishing
Growth (Physiology)
Growth models
Health aspects
Historical account
Hypotheses
Information theory
Laboratories
Life history
Life sciences
Mammals - physiology
Maturation
Medicine and Health Sciences
Metabolism
Models, Biological
Ontogeny
Organisms
Parameter estimation
People and places
Reproduction - physiology
Reptiles & amphibians
Research and Analysis Methods
Sexual reproduction
Trajectories
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Summary:Ontogenetic growth functions provide basic information in biological and ecological studies. Various growth functions classified into the Pütter model have been used historically, regardless of controversies over their appropriateness. Here, we present a novel growth function for fish and aquatic organisms (generalised q-VBGF) by considering an allocation schedule of allometrically produced surplus energy between somatic growth and reproduction. The generalised q-VBGF can track growth trajectories in different life history strategies from determinate to indeterminate growth by adjusting the value of the 'growth indeterminacy exponent' q. The timing of maturation and attainable body size can be adjusted by the 'maturation timing parameter' τ while maintaining a common growth trajectory before maturation. The generalised q-VBGF is a comprehensive growth function in which exponentials in the traditional monomolecular, von Bertalanffy, Gompertz, logistic, and Richards functions are replaced with q-exponentials defined in the non-extensive Tsallis statistics, and it fits to actual data more adequately than these conventional functions. The relationship between the estimated parameter values τ and rq forms a unique hyperbola, which provides a new insight into the continuum of life history strategies of organisms.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0199346