Structural Factorization of Plants to Compute Their Functional and                 Architectural Growth

Cournède, Paul-Henry; Kang, Mengzhen; Mathieu, Amélie; Barczi, Jean‐François; Yan, Hong-Pin; Hu, Bao-Gang; Reffye, Philippe de

doi:10.1177/0037549706069341

Cited by 84 publications

(65 citation statements)

References 18 publications

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“…In this paragraph, we present the generic mathematical frame of the GreenLab model [3,28]. For applications on real plant species, different versions are derived from this common frame, to adapt to the specificities of each species.…”

Section: Time and Architecture Discretizationmentioning

confidence: 99%

“…In the next section, we detail only the equations necessary for our case study but a more comprehensive description can be found in [3,25].…”

Section: Time and Architecture Discretizationmentioning

confidence: 99%

“…Besides, a strong effort was put on its rigourous mathematical formalization, thus paving the way to the study of its behaviour. In GreenLab [3], plant architecture, biomass production and partitioning among organs are described with a discrete dynamic system. The mathematical formalism of the model allows the study of the system behaviour.…”

Section: Introductionmentioning

confidence: 99%

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Oscillations in Functional Structural Plant Growth Models

Mathieu

Letort

Cournède

et al. 2012

Math. Model. Nat. Phenom.

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Abstract. The dynamic model of plant growth GreenLab describes plant architecture and functional growth at the level of individual organs. Structural development is controlled by formal grammars and empirical equations compute the amount of biomass produced by the plant, and its partitioning among the growing organs, such as leaves, stems and fruits. The number of organs initiated at each time step depends on the trophic state of the plant, which is evaluated by the ratio of biomass available in plant to the demand of all the organs. The control of the plant organogenesis by this variable induces oscillations in the simulated plant behaviour. The mathematical framework of the GreenLab model allows to compute the conditions for the generation of oscillations and the value of the period according to the set of parameters. Two case-studies are presented, corresponding to emergence of oscillations associated to fructification and branching. Similar alternating patterns are commonly reported by botanists. In this article, two examples were selected: alternate patterns of fruits in cucumber plants and alternate appearances of branches in Cecropia trees. The model was calibrated from experimental data collected on these plants. It shows that a simple feedback hypothesis of trophic control on plant structure allows the emergence of cyclic patterns corresponding to the observed ones.

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Section: Time and Architecture Discretizationmentioning

confidence: 99%

“…In the next section, we detail only the equations necessary for our case study but a more comprehensive description can be found in [3,25].…”

Section: Time and Architecture Discretizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Oscillations in Functional Structural Plant Growth Models

Mathieu

Letort

Cournède

et al. 2012

Math. Model. Nat. Phenom.

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“…The architectural development of plant is described as a sequence of growth unit appearances as well as the expansion of the organs constituting the growth units ( [4], [2]). Generally for crops, the thermal time elapsing between successive appearances of phytomers can be considered as constant and is called phyllochron ( [23]).…”

Section: Organogenesis and Demandmentioning

confidence: 99%

Irrigation Optimization by Modeling of Plant-Soil Interaction

Li¹,

Cournède²,

Mailhol³

2011

Applied Simulation and Modelling

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Irrigation scheduling is an important issue for crop management, in a general context of limited water resources and increasing concern about agricultural productivity. Methods to optimize crop irrigation should take into account the impact of water stress on plant growth and the water balance in the plant-soil-atmosphere system. In this article, we propose a methodology to solve the irrigation scheduling problem. For this purpose, a plant-soil interaction model is used to simulate the structural-functional plant growth conditioned by water status. The system dynamics is driven by a delay differential system. By considering a price for the crop yield and for the water resource, an optimal control problem can be formulated in order to find the optimal irrigation strategy. The solution is obtained by dynamic programming. In order to handle the delay term of the system due to the continuous mechanism of plant senescence and the curse of dimensionality, the iterative approach of dynamic programming is used.

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“…Some of them are currently able to model plant development and production, under constraints from a variable resource environment, especially in terms of light, water and temperature [6]. Nevertheless, in such approaches, the interaction between plant models and resources is limited.…”

Section: Introductionmentioning

confidence: 99%

Simulation and Visualisation of Functional Landscapes: Effects of the Water Resource Competition Between Plants

Chevalier

Jaeger

Mei

et al. 2007

J. Comput. Sci. Technol.

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Vegetation ecosystem simulation and visualisation are challenging topics involving multidisciplinary aspects. In this paper, we present a new generic frame for the simulation of natural phenomena through manageable and interacting models. It focuses on the functional growth of large vegetal ecosystems, showing coherence for scales ranging from the individual plant to communities and with a particular attention to the effects of water resource competition between plants.The proposed approach is based on a model of plant growth in interaction with the environmental conditions. These are deduced from the climatic data (light, temperature, rainfall) and a model of soil hydrological budget. A set of layers is used to store the water resources and to build the interfaces between the environmental data and landscape components: temperature, rain, light, altitude, lakes, plant positions, biomass, cycles, etc. At the plant level, the simulation is performed for each individual by a structural-functional growth model, interacting with the plant's environment. Temperature is spatialised, changing according to altitude, and thus locally controls plant growth speed. The competition for water is based on a soil hydrological model taking into account rainfalls, water runoff, absorption, diffusion, percolation in soil. So far, the incoming light radiation is not studied in detail and is supposed constant.However, competition for light between plants is directly taken into account in the plant growth model.In our implementation, we propose a simple architecture for such a simulator and a simulation scheme to synchronise the water resource updating (on a temporal basis) and the plant growth cycles (determined by the sum of daily temperatures). The visualisation techniques are based on sets of layers, allowing both morphological and functional landscape views and providing interesting tools for ecosystem management.The implementation of the proposed frame leads to encouraging results that are presented and illustrate *

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Structural Factorization of Plants to Compute Their Functional and Architectural Growth

Cited by 84 publications

References 18 publications

Oscillations in Functional Structural Plant Growth Models

Oscillations in Functional Structural Plant Growth Models

Irrigation Optimization by Modeling of Plant-Soil Interaction

Simulation and Visualisation of Functional Landscapes: Effects of the Water Resource Competition Between Plants

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