A generalized performance equation and its application in measuring the Gini index of leaf size inequality

M Lian, P Shi, L Zhang, W Yao, J Gielis, KJ Niklas - Trees, 2023 - Springer
Key message A generalized performance equation is proposed to fit the Lorenz curve of the
leaf size distribution of an individual plant and is validated using 12 individual bamboo …

Inequality measure of leaf area distribution for a drought-tolerant landscape plant

L Huang, DA Ratkowsky, C Hui, J Gielis, M Lian, W Yao… - Plants, 2023 - mdpi.com
Measuring the inequality of leaf area distribution per plant (ILAD) can provide a useful tool
for quantifying the influences of intra-and interspecific competition, foraging behavior of …

A novel approach to egg and math: Improved geometrical standardization of any avian egg profile

VG Narushin, ST Orszulik… - Annals of the New …, 2023 - Wiley Online Library
Developing a geometric formulation of any biological object has a number of justifications
and applications. Recently, we developed a universal geometric figure for describing a bird's …

Evidence that Chinese white olive (Canarium album (Lour.) DC.) fruits are solids of revolution

L Wang, P Shi, L Chen, J Gielis, KJ Niklas - Botany Letters, 2024 - Taylor & Francis
Although many fruit geometries resemble a solid of revolution, this assumption has rarely
been rigorously examined. To test this assumption, 574 fruits of Canarium album (Lour.) DC …

Evidence That Field Muskmelon (Cucumis melo L. var. agrestis Naud.) Fruits Are Solids of Revolution

K He, C Hui, W Yao, J Wang, L Wang, Q Li, P Shi - Plants, 2023 - mdpi.com
In nature, the fruit shapes of many plants resemble avian eggs, a form extensively studied as
solids of revolution. Despite this, the hypothesis that egg-shaped fruits are themselves solids …

Diminishing returns: A comparison between fresh mass vs. area and dry mass vs. area in deciduous species

X Guo, KJ Niklas, Y Li, J Xue, P Shi… - Frontiers in Plant …, 2022 - frontiersin.org
“Diminishing returns” in leaf economics occurs when increases in lamina mass (M), which
can either be represented by lamina dry mass (DM) or fresh mass (FM), fail to produce …

Leaf-age and petiole biomass play significant roles in leaf scaling theory

X Guo, J Schrader, P Shi, Y Jiao, Q Miao… - Frontiers in Plant …, 2023 - frontiersin.org
Foliage leaves are essential for plant survival and growth, and how plants allocate biomass
to their leaves reveals their economic and ecological strategies. Prior studies have shown …

Quantifying the Variation in the Geometries of the Outer Rims of Corolla Tubes of Vinca major L.

L Wang, Q Miao, Ü Niinemets, J Gielis, P Shi - Plants, 2022 - mdpi.com
Many geometries of plant organs can be described by the Gielis equation, a polar
coordinate equation extended from the superellipse equation, r= a| cos m 4 φ| n 2+| 1 k sin …

A simple way to calculate the volume and surface area of avian eggs

P Shi, L Chen, BK Quinn, K Yu, Q Miao… - Annals of the New …, 2023 - Wiley Online Library
Egg geometry can be described using Preston's equation, which has seldom been used to
calculate egg volume (V) and surface area (S) to explore S versus V scaling relationships …

Influence of tree size on the scaling relationships of lamina and petiole traits: A case study using Camptotheca acuminata Decne

L Chen, K He, P Shi, M Lian, W Yao… - Ecology and …, 2024 - Wiley Online Library
There is a lack of research on whether tree size affects lamina and petiole biomass
allocation patterns, whereas the trade‐off between leaf biomass allocated to the lamina and …