Related Experiment Video
Updated: Apr 27, 2026

An Optimized Rhizobox Protocol to Visualize Root Growth and Responsiveness to Localized Nutrients
Published on: October 22, 2018
Explaining ontogenetic shifts in root-shoot scaling with transient dynamics.
Théophile Lohier1, Franck Jabot2, Driss Meziane3
1LISC - Laboratoire d'Ingénierie pour les Systèmes complexes, IRSTEA, 9 avenue Blaise Pascal, CS 20085, 63178 Aubière, France.
Optimal partitioning theory predicts constant root-shoot ratios in plants, but real growth trajectories vary. This study shows that initial developmental constraints, not just nutrient limitation, explain these non-isometric plant growth patterns.
Area of Science:
- Plant Physiology
- Ecology
- Computational Biology
Background:
- Optimal partitioning theory predicts isometric shoot-root biomass relationships (constant root-shoot ratio) in herbaceous plants.
- Empirical data often show non-isometric growth trajectories, challenging simple theoretical models.
- Discrepancies suggest the need to incorporate additional factors like nutrient limitation or developmental constraints.
Purpose of the Study:
- To quantitatively compare nutrient limitation and initial developmental constraints as explanations for observed non-isometric plant growth.
- To reconcile theoretical predictions of optimal partitioning theory with empirical root-shoot allometries.
Main Methods:
- Developed a simple plant growth model based on optimal partitioning theory and plant functional traits.
- Simulated herbaceous plant growth, assessing model accuracy against published data for relative growth rate and root weight ratio.
- Tested the effects of nutrient limitation and initial developmental constraints on simulated root-shoot ratios during ontogeny.
Main Results:
- The basic model accurately reproduced overall growth patterns but failed to explain non-isometric trajectories.
- Both nutrient limitation and developmental constraints induced transient dynamics deviating from isometry.
- Initial developmental constraints (non-optimal initial root-shoot ratios) successfully reproduced observed growth trajectories.
Conclusions:
- Transient dynamics, particularly initial developmental constraints, are crucial for reconciling optimal partitioning theory with empirical root-shoot allometries.
- Nutrient limitation alone is insufficient to explain observed non-isometric plant growth trajectories.
- Initial developmental constraints play a significant role in shaping plant biomass allocation during ontogeny.
Related Concept Videos
Primary and Secondary Growth in Roots and Shoots
Responses to Gravity and Touch
Morphogenesis
Modeling with Differential Equations
Meristems and Plant Growth
Exponential Equations for Modeling Growth

