A dynamic model of plant growth with interactions between development and functional mechanisms to study plant structural plasticity related to trophic competition

Mathieu, Amélie; Cournède, Paul-Henry; Letort, Véronique; Barthélémy, Daniel; Reffye, Philippe de

doi:10.1093/aob/mcp054

Cited by 79 publications

(75 citation statements)

References 62 publications

(81 reference statements)

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“…A constant allometry rule between the length and biomass of internodes in the GreenLab model (where branches belonging to the same order are identical) has been validated for crops and tree species in the literature [32,44]; however, random processes for growth, death, and branch pattern have also been applied to characterize stochastic structure and functioning in different versions of the GreenLab functional-structural model [66,67], especially stochastic modeling of annual tree shoot dynamics in the recent GL5 version [68]. In this study, single-level, nested two-level and nested three-level nonlinear mixed-effect models were developed for the internode allometry of first-, second-, and third-order branches of Chinese Pine, respectively.…”

Section: Discussionmentioning

confidence: 99%

Quantifying the Variability of Internode Allometry within and between Trees for Pinus tabulaeformis Carr. Using a Multilevel Nonlinear Mixed-Effect Model

Jun

Lei

Wang

et al. 2014

Forests

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Allometric models of internodes are an important component of Functional-Structural Plant Models (FSPMs), which represent the shape of internodes in tree architecture and help our understanding of resource allocation in organisms. Constant allometry is always assumed in these models. In this paper, multilevel nonlinear mixed-effect models were used to characterize the variability of internode allometry, describing the relationship between the last internode length and biomass of Pinus tabulaeformis Carr. trees within the GreenLab framework. We demonstrated that there is significant variability in allometric relationships at the tree and different-order branch levels, and the variability decreases among levels from trees to first-order branches and, subsequently, to second-order branches. The variability was partially explained by the random effects of site characteristics, stand age, density, and topological position of the internode. Tree-and branch-level-specific allometric models are recommended because they produce unbiased and accurate internode length estimates. The model and method developed in this study are useful for understanding and describing the structure and functioning of trees. OPEN ACCESSForests 2014, 5 2826 Keywords: internode allometry; mixed-effect models; Pinus tabulaeformis Carr.; variance of random effects

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Section: Discussionmentioning

confidence: 99%

Quantifying the Variability of Internode Allometry within and between Trees for Pinus tabulaeformis Carr. Using a Multilevel Nonlinear Mixed-Effect Model

Jun

Lei

Wang

et al. 2014

Forests

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“…Each core was sampled at breast height (130 cm above ground). Trees may invest more on the canopy layer to compete for space and light, and slow the radial growth at breast height [29], which could potentially influence the estimation. However, the impact could be negligible since all sampled trees were along the edges and may have had sufficient space to grow (Figure 2b-e) during the period 1990-2011.…”

Section: Tree-ring Data Collection and Analysismentioning

confidence: 99%

Determining Ideal Timing of Row Thinning for a Cryptomeria japonica Plantation Using Event History Analysis

Chung

Lin

et al. 2017

Forests

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Effective time of thinning is essential for determining a silvicultural operation schedule. One of the most commonly used methods is the percentage of radial increase to assess the effect of thinning. However, it is difficult to determine the ideal time point due to variation in tree growth rates. Event history analysis was used to quantify the optimal timings for different row thinning types for a 45-year-old Cryptomeria japonica plantation in the mountainous region of Taiwan. The increase in tree-ring size was measured and converted to the basal area increment (BAI) to estimate annual tree growth; derived time-series data were entered into event history analysis to calculate the time to 50% probability of survival. Additionally, an accelerated failure time regression was applied to test the effects of thinning and its timing; model validation was carried out to examine the influence of thinning time variation on plant growth through time. Results showed that thinning modified the temporal dynamics of the BAI, and, in general, a positive trend was observed between strip-width and time of thinning. Simulated tree growth in the model validation corroborated that accurate timing may optimize thinning effects. Combining tree-ring measurement and event history analysis may facilitate determining the timing of row thinning, which can improve carbon sequestration of forest stands.

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“…As an example, the number of new branches b(n) is modeled as a function of the ratio Q(n)/D(n) which is a good measure of the internal competition in the plant and was thus chosen as a control variable for plant self-regulation [24]:…”

Section: Model Equationsmentioning

confidence: 99%

“…In that context, the role of modeling is to unravel these complex interactions and to allow testing hypotheses. One key to model these oscillation phenomena lies in the complex interactions between plant architectural development (via organogenesis) and functional growth (via photosynthetic biomass production and allocation) [24]. Mathematical modeling of such phenomena and the analysis of the underlying dynamic system may help underline the conditions for the generation of such oscillations and thus understand the biological processes at their origins.…”

Section: Introductionmentioning

confidence: 99%

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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A dynamic model of plant growth with interactions between development and functional mechanisms to study plant structural plasticity related to trophic competition

Abstract: The modelling framework serves as a tool for theoretical botany to explore the emergence of specific morphological and architectural patterns and can help to understand plant phenotypic plasticity and its strategy in response to environmental changes.

Cited by 79 publications

References 62 publications

Quantifying the Variability of Internode Allometry within and between Trees for Pinus tabulaeformis Carr. Using a Multilevel Nonlinear Mixed-Effect Model

Quantifying the Variability of Internode Allometry within and between Trees for Pinus tabulaeformis Carr. Using a Multilevel Nonlinear Mixed-Effect Model

Determining Ideal Timing of Row Thinning for a Cryptomeria japonica Plantation Using Event History Analysis

Oscillations in Functional Structural Plant Growth Models

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