ArticleFrontiers in plant science2014
Modeling tree crown dynamics with 3D partial differential equations.
Article in Frontiers in plant science, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Tree crowns grow into self-similar shapes controlled by gravity and light sensing.Journal of the Royal Society, Interface · 2018Article
- The pipe model theory half a century on: a review.Annals of botany · 2018Review
- Efficient modelling of foliage distribution and crown dynamics in monolayer tree species.Theory in biosciences = Theorie in den Biowissenschaften · 2017Article
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We characterize a tree's spatial foliage distribution by the local leaf area density. Considering this spatially continuous variable allows to describe the spatiotemporal evolution of the tree crown by means of 3D partial differential equations. These offer a framework to rigorously take locally and adaptively acting effects into account, notably the growth toward light. Biomass production through photosynthesis and the allocation to foliage and wood are readily included in this model framework. The system of equations stands out due to its inherent dynamic property of self-organization and spontaneous adaptation, generating complex behavior from even only a few parameters. The density-based approach yields spatially structured tree crowns without relying on detailed geometry. We present the methodological fundamentals of such a modeling approach and discuss further prospects and applications.
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