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Related Experiment Video

Updated: Jun 5, 2025

LeafJ: An ImageJ Plugin for Semi-automated Leaf Shape Measurement

LeafJ: An ImageJ Plugin for Semi-automated Leaf Shape Measurement

Published on: January 21, 2013

Variation of leaf shape with tree size: a case study using Camptotheca acuminata Decne.

Ke He^1,2, David A Ratkowsky³, Pengjiazi Fu⁴

¹School of Architecture, Huaqiao University, Xiamen, China.

Frontiers in Plant Science

|December 5, 2024

Summary

The Montgomery equation accurately estimates leaf area (A) using leaf length (L) and width (W), regardless of tree size (DBH). Tree diameter at breast height (DBH) does not significantly impact the Montgomery parameter (MP), validating its use across different trees.

Keywords:

centroid ratio leaf area leaf roundness index power-law equation proportional relationship

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Area of Science:

Botany
Forestry
Ecology

Background:

The Montgomery equation (ME) models leaf area (A) as proportional to leaf length (L) and width (W), with the proportionality constant being the Montgomery parameter (MP).
The influence of tree size, indicated by diameter at breast height (DBH), on leaf shape and the ME's MP remains under-explored.
Understanding these relationships is crucial for accurate plant area estimations in ecological and forestry studies.

Purpose of the Study:

To investigate the influence of tree size (DBH) on leaf shape indices and the Montgomery parameter (MP) in *Camptotheca acuminata*.
To compare the accuracy of the standard Montgomery equation with a power-law allometric equation for estimating leaf area (A).
To determine the validity of the ME for calculating leaf area at both individual tree and pooled data levels.

Main Methods:

Collected 840 leaves from six *Camptotheca acuminata* trees of varying DBH.
Measured leaf dimensions (L, W) and calculated three shape indices: W/L ratio, roundness index, and centroid ratio.
Applied the standard Montgomery equation and a power-law equation (A ∝ (LW)α) to estimate leaf area (A) and analyzed the impact of DBH on the MP.

Main Results:

Leaf shape, specifically the centroid ratio, showed a slight decrease with increasing DBH, suggesting more ovate leaves in larger trees.
DBH did not significantly affect the W/L ratio or leaf roundness index.
The estimated MP for pooled data was 0.6466 and was not significantly influenced by DBH. The power-law equation showed minimal improvement over the ME (percent error < 5%).

Conclusions:

The Montgomery equation is a valid and reliable method for calculating leaf area (A) in *Camptotheca acuminata*, irrespective of tree size (DBH).
The influence of DBH on the Montgomery parameter (MP) can be disregarded, simplifying leaf area estimation.
The standard ME is sufficient, negating the need for more complex allometric models for leaf area calculations in this species.