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The Modified Brière Equation and Its Applications.

Jun Jin1, Brady K Quinn2, Peijian Shi3

  • 1Research Institute of Architecture, Southeast University, Nanjing 210096, China.

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|July 9, 2022
PubMed
Summary
This summary is machine-generated.

A modified Brière equation (MBE) improves plant growth modeling. This enhanced model offers better elasticity and accuracy for quantifying plant biomass and height compared to the original Brière equation.

Keywords:
axial symmetrycurve fittingontogenetic growthsigmoid curvesymmetry

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Agronomy

Background:

  • The Brière equation (BE) models insect development rates and is adapted for plant growth.
  • The integrated BE is used as a sigmoid growth equation for plant biomass accumulation.
  • Existing BE-based models show discrepancies with empirical crop growth data, particularly regarding growth start time.

Purpose of the Study:

  • To modify the Brière equation (BE) by introducing an additional parameter, creating the modified Brière equation (MBE).
  • To enhance the elasticity of the sigmoid growth equation for improved data fitting in plant growth studies.
  • To compare the goodness of fit between BE and MBE sigmoid growth equations using plant height and biomass data.

Main Methods:

  • Modified the Brière equation (BE) by adding a parameter to create the modified Brière equation (MBE).
  • Fitted sigmoid growth equations based on both BE and MBE to plant height and biomass data for 15 plant species.
  • Assumed zero growth start time for all model fittings.
  • Evaluated goodness of fit using root-mean-square errors and absolute percentage error.

Main Results:

  • The modified Brière equation (MBE) demonstrated a superior goodness of fit compared to the Brière equation (BE) for most plant species studied.
  • MBE showed improved elasticity in fitting plant growth data, including height and biomass.
  • The study confirmed MBE's effectiveness in capturing plant ontogenetic and population growth dynamics.

Conclusions:

  • The modified Brière equation (MBE) provides a more accurate and flexible tool for modeling plant growth.
  • MBE enhances the quantitative analysis of plant ontogeny and population dynamics.
  • This improved model aids in understanding and predicting plant biomass accumulation and height increase over time.