Incorporating Lindenmayer systems for architectural development in a functional-structural tree model

Perttunen, Jari; Sievänen, Risto

doi:10.1016/j.ecolmodel.2004.06.034

Cited by 24 publications

(18 citation statements)

References 40 publications

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“…FSPM are either based on an architectural model and add functional details to it, or begin with a process-based physiological model and extend it with structural details (Perttunen and Sievanen 2005). Roots are often treated as an aggregate sink of carbon having neither spatial structure nor architecture (e.g.…”

Section: Functional-structural Growth Modelsmentioning

confidence: 99%

Assessing and analyzing 3D architecture of woody root systems, a review of methods and applications in tree and soil stability, resource acquisition and allocation

2007

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In numerous studies dealing with roots of woody plants, a description of the root system architecture is needed. During the twentieth century, several manual measurement methods were used, depending on the objectives of study. Due to the difficulties in accessing the roots and the duration of measurements, the studies generally involved a low number of root systems, were often qualitative and focused only on one specific application. Quantitative methods in plant architecture were largely developed in the last 40 years for aerial architecture. However, root systems have particular features and often need specific procedures. Since the end of the 1990s, new devices and techniques have been available for coarse root architecture measurements including volume location techniques (noninvasive or destructive) and manual or semi-automatic 3D digitising. Full 3D root system architecture dynamics was also reconstructed from partial measurements using modelling procedures. On the one hand, noninvasive and automatic techniques need more development to obtain full 3D architecture, i.e. geometry and topology. On the other hand, both one inexpensive manual and one semi-automatic digitizing procedure are now available to measure precisely and rapidly the full 3D architecture of uprooted and excavated coarse root systems. Specific software and a large number of functions are also available for an in-depth analysis of root architecture and have already been used in a dozen of research papers including a fairly large sample of mature trees. A comprehensive analysis of root architecture can be achieved by classifying individual roots in several root types through architectural analysis. The objective of this paper is both to give a detailed overview of the state of the art techniques for 3D root system architecture measurement and analysis and to give examples of applications in this field. Practical details are also given so that this paper can be used as a sort of manual for people who want to improve their practice or to enter this quite new research field.

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Section: Functional-structural Growth Modelsmentioning

confidence: 99%

Assessing and analyzing 3D architecture of woody root systems, a review of methods and applications in tree and soil stability, resource acquisition and allocation

2007

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“…1996, 2001; Perttunen, Sievanen & Nikinmaa 1998; Lo et al. 2001; Perttunen & Sievanen 2005) include a mathematical function describing the photosynthetic light–response curve. Such mathematical functions must be parameterized.…”

Section: Introductionmentioning

confidence: 99%

The leaf economics spectrum and the prediction of photosynthetic light–response curves

Marino

Aqil

Shipley³

2010

Functional Ecology

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Summary 1. In this paper we determine whether interspecific variation in entire photosynthetic light–response curves correlates with the leaf traits of the ‘leaf economics spectrum’ (LES) and the degree to which such traits can predict interspecific variation in light–response curves. This question is important because light–response curves are included in many ecosystem models of plant productivity and gas exchange but such models do not take into account interspecific variation in such response curves. 2. We answer this question using original observations from 260 leaves from 130 plants of 65 different species of herbaceous (25) and woody (40) angiosperms. Herbs were grown in growth chambers and gas exchange measurements were taken in the laboratory. Leaf traits and gas exchange measurements for the woody plants were taken in the field. Leaf traits measured were leaf mass per area (LMA), leaf nitrogen concentration (N) and leaf chlorophyll concentration (Chl). We fitted the Mitscherlich and Michaelis–Menten equations of the light–response curve separately for each leaf. This gave (for the Mitscherlich equation) the light compensation point (ϕ), the quantum yield at the light compensation point (q(ϕ)), and maximum net photosynthesis (Amax) and (for the Michaelis–Menten equation), the maximum gross photosynthesis (Gmax), the half saturation coefficient (k) and the dark respiration rate (Rd). 3. Amax and q(ϕ) were highly correlated with the measured leaf traits but ϕ was not. All three parameters of the Michaelis–Menten equations were correlated with the leaf traits. Allometric equations predicting the parameters of the Mitscherlich and Michaelis–Menten equations by N and LMA are presented. Replacing the leaf‐specific parameters by these general allometric equations based on leaf N and LMA gave good predictions of net photosynthetic rates over the entire range of irradiance (r = 0·79–0·98) but with a downward bias for the herbs when the most general allometric equations are used. 4. These results further extend the generality of the LES and may allow available information from large leaf trait data bases to be incorporated into ecosystem models of plant growth and gas exchange.

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“…Furthermore, the use of Hidden Markov Model (referred to as HMM) in simulating stochastic characteristic of plant growth is also the hot research field of many experts and scholars in the civil. This model is good at analyzing and expressing quantitatively the structure and function of virtual plant [8].…”

Section: Liu Hongmentioning

confidence: 99%

Research on an generalized L-system method

Liu

2012

2012 International Symposium on Information Technologies in Medicine and Education

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The traditional L-system is a parallel string rewriting system in which the production of branch structure is different from the growth of stems while developing the morphology of plants. The grammar system about structure of plants is generated by an iterative procedure, and eventually is visualized by using Turtle interpretation to simulate a virtual plant. The method is lack of intuitive biological meaning in simulating the dynamic process of plant growth. A generalized L-system method is proposed in this paper. In this method, substructure is the unit of growth with physiological age and chronological age, and the dynamic growth is manifested by the hidden Markov procedure, and then the developed plants have the stochastic quality in accordance with botanical principles. Finally, a given instance shows the proposed method is quick and effective in modeling plants.

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Incorporating Lindenmayer systems for architectural development in a functional-structural tree model

Cited by 24 publications

References 40 publications

Assessing and analyzing 3D architecture of woody root systems, a review of methods and applications in tree and soil stability, resource acquisition and allocation

Assessing and analyzing 3D architecture of woody root systems, a review of methods and applications in tree and soil stability, resource acquisition and allocation

The leaf economics spectrum and the prediction of photosynthetic light–response curves

Research on an generalized L-system method

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