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2 results on '"Random tree topological development"'

1. Simulation of the topological development of young eucalyptus using a stochastic model and sampling measurement strategy

Author

Diao, Jun, De Reffye, Philippe, Lei, Xiangdong, Guo, Hong, and Letort, Veronique

Subjects
*EUCALYPTUS, *PLANT development, *TOPOLOGY, *SIMULATION methods & models, *CROWNS (Botany), *BIOMASS production, *PLANT canopies, *PARAMETER estimation
Abstract

Abstract: Tree crown architecture affects light interception, biomass production and mechanical stability. Crown architecture is largely determined by the topological development of the plant due to meristem activity. Modeling approaches can provide new insights into the dynamics of plant topology, but they are often hampered by experimental difficulties in data collection on complex trees with numerous internodes, especially in tropical tree species that present the additional difficulty of continuous growth with no marked cessation. Tree topological structure shows high variability resulting from genotypic and environmental factors in real stands. In this paper, a stochastic model was developed to describe the topological development of trees. In the model, growth and branching processes are driven by the respective probabilities of activity, rest or death of apical and lateral buds. Because of its mathematical formulation, the model inversion can be done analytically – which is rare – and parameter values can be estimated from experimental data. A new strategy was defined to sample measurements and applied to five eucalyptus trees. Incomplete systems were also defined for the case, common with trees, of incomplete datasets. After parameter estimation, simulation of random eucalyptus tree was presented. The model could describe tree topological development of eucalyptus reasonably well. This work offers a simple and practical method to describe the topological development of trees with continuous growth. It can realistically and flexibly describe the canopy topological development, and has the potential to be integrated with the process of biomass production and allocation for functional–structural plant modeling in the future. [Copyright &y& Elsevier]

Published
2012
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2. Simulation of the topological development of young eucalyptus using a stochastic model and sampling measurement strategy

Author

Véronique Letort, Hong Guo, Xiangdong Lei, Jun Diao, Philippe de Reffye, Research Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Botanique et Modélisation de l'Architecture des Plantes et des Végétations (UMR AMAP), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Institut National de la Recherche Agronomique (INRA)-Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Institut de Recherche pour le Développement (IRD [France-Sud]), Mathématiques Appliquées aux Systèmes - EA 4037 (MAS), Ecole Centrale Paris, Modélisation de la croissance et de l'architecture des plantes (DIGIPLANTE), Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Mathématiques Appliquées aux Systèmes - EA 4037 (MAS), Ecole Centrale Paris-Ecole Centrale Paris, Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Institut National de la Recherche Agronomique (INRA)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD [France-Sud]), Ecole Centrale Paris-Ecole Centrale Paris-Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Ecole Centrale Paris, and Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)

Subjects
0106 biological sciences, Canopy, Rhythm ratio, Stochastic modelling, F62 - Physiologie végétale - Croissance et développement, Mortalité, Horticulture, Topology, F50 - Anatomie et morphologie des plantes, 010603 evolutionary biology, 01 natural sciences, Branching (linguistics), Random tree topological development, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [SDV.BV]Life Sciences [q-bio]/Vegetal Biology, Mathematics, Eucalyptus, Data collection, Mortality probability, U10 - Informatique, mathématiques et statistiques, Estimation theory, Forestry, [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH], 15. Life on land, K10 - Production forestière, Computer Science Applications, Survival probability, Interception, Agronomy and Crop Science, Tree species, Modèle mathématique, Développement biologique, 010606 plant biology & botany
Abstract

International audience; Tree crown architecture affects light interception, biomass production and mechanical stability. Crown architecture is largely determined by the topological development of the plant due to meristem activity. Modeling approaches can provide new insights into the dynamics of plant topology, but they are often hampered by experimental difficulties in data collection on complex trees with numerous internodes, especially in tropical tree species that present the additional difficulty of continuous growth with no marked cessation. Tree topological structure shows high variability resulting from genotypic and environmental factors in real stands. In this paper, a stochastic model was developed to describe the topolog- ical development of trees. In the model, growth and branching processes are driven by the respective probabilities of activity, rest or death of apical and lateral buds. Because of its mathematical formulation, the model inversion can be done analytically - which is rare - and parameter values can be estimated from experimental data. A new strategy was defined to sample measurements and applied to five eucalyptus trees. Incomplete systems were also defined for the case, common with trees, of incomplete data- sets. After parameter estimation, simulation of random eucalyptus tree was presented. The model could describe tree topological development of eucalyptus reasonably well. This work offers a simple and practical method to describe the topological development of trees with continuous growth. It can realistically and flexibly describe the canopy topological development, and has the potential to be integrated with the process of biomass production and allocation for functional-structural plant modeling in the future.

Published
2012

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