Phyllotaxis: is the golden angle optimal for light capture?
Sören Strauss1, Janne Lempe1, Przemyslaw Prusinkiewicz2, Miltos Tsiantis1, and Richard S. Smith1,3.
1Department of Comparative Development and Genetics, Max Planck Institute for Plant Breeding Research
2Department of Computer Science, University of Calgary
3Cell and Development Biology Department, John Innes Centre
Abstract
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Phyllotactic patterns are some of the most conspicuous in nature. To create these patterns
plants must control the divergence angle between the appearance of successive organs,
sometimes to within a fraction of a degree. The most common angle is the Fibonacci or golden
angle, and its prevalence has led to the hypothesis that it has been selected by evolution as
optimal for plants with respect to some fitness benefits, such as light capture.
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We explore arguments for and against this idea with computer models. We have used both
idealized and scanned leaves from Arabidopsis thaliana and Cardamine hirsuta to measure
the overlapping leaf area of simulated plants after varying parameters such as leaf shape, incident
light angles, and other leaf traits.
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We find that other angles generated by Fibonacci-like series found in nature are equally
optimal for light capture, and therefore should be under similar evolutionary pressure.
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Our findings suggest that the iterative mechanism for organ positioning itself is a more
likely target for evolutionary pressure, rather than a specific divergence angle, and our model
demonstrates that the heteroblastic progression of leaf shape in A. thaliana can provide a
potential fitness benefit via light capture.
Reference
Sören Strauss, Janne Lempe, Przemyslaw Prusinkiewicz, Miltos Tsiantis, and Richard S. Smith. Phyllotaxis: is the golden angle optimal for light transport? New Phytologist 225: 499-510, 2020.
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