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In Situ Microscopy for Real-time Determination of Single-cell Morphology in Bioprocesses

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General classification of maturation reaction-norm shape from size-based processes.

Asbjorn Christensen¹, Ken Haste Andersen

¹DTU Aqua, Charlottenlund Slot, 2920, Charlottenlund, Denmark. asc@aqua.dtu.dk

Bulletin of Mathematical Biology

|June 18, 2010

Summary

Phenotypic plasticity in fish size at maturation is explained by size-age maturation reaction norms (MRNs). These norms, influenced by growth and mortality, predict varied responses to fishing and climate change.

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Area of Science:

Ecology
Evolutionary Biology
Fisheries Science

Background:

Phenotypic plasticity in size at maturation is crucial for fish population dynamics.
Size-age maturation reaction norms (MRNs) are commonly used to describe this plasticity.
Understanding MRN variability is key to predicting fish population responses to environmental changes.

Purpose of the Study:

To analyze and categorize MRNs based on growth and mortality patterns.
To develop a model for predicting MRN shapes and their underlying mechanisms.
To assess the impact of fisheries and climate change on MRNs.

Main Methods:

Analysis of age and size at maturation reaction norms (MRNs).
Development of an individual-based model for growth and mortality, motivated by fish energy budgets.
Classification of MRNs into three categories based on size scaling of growth and mortality.

Main Results:

MRN shape is determined by the balance between growth and mortality factors.
The model predicts MRNs with both positive and negative slopes.
A lower critical spawning mass is predicted under specific mortality conditions.
The model can predict fishery-induced evolutionary responses and climate change impacts.

Conclusions:

Realistic size dependence of growth and mortality is essential for accurate MRN predictions.
MRN predictions are sensitive to harvest pressure.
This framework provides insights into fish adaptation to environmental and anthropogenic pressures.