Simulating Tree Plasticity with a Functional-structural Plant Model: Being Realistic in Behavior

Plant plasticity refers the ability of a plant to change its observable characteristics, in response to the environmental changes in its lifespan. We present a method of simulating structural plasticity in trees reacting to different light intensities, pruning policies, competition, and obstacles. The method is based on a functional-structural plant model (FSPM) that simulates two basic underlying processes of plants: development/organogenesis (the formation of plant structure) and growth (expansion of organs biomass production and partitioning). Bi-directional feedback is constructed between these two processes by linking both bud break and biomass partitioning with the internal source-sink ratio of biomass. A secondary mechanism controlling bud break is its local light intensity, by imposing a light distribution in tree canopy, the computational efficiency for which is assured by implementation on GPU. Based on these mechanisms, the virtual trees produce naturally less branches at lower light intensities. In reaction to pruning, the same tree give different shapes as pruning changes the source-sink balance and triggers new branches. Neighboring trees compete for light and lead to different crowns, and the same mechanism can be used to simulate trees grown near buildings. The results show that by constructing the dynamic model describing the underlying development and growth process of trees in cyberspace, the simulated trees can adapt to their virtual environment without need of modifying their geometrical traits. Such property is interesting for simulating landscape, education and interactive training. Keywords-Tree competition; Plasticity; GreenLab; Light environment; Bud break; FSPM; Emergent property.

[1]  S Shimizu-Sato,et al.  Control of outgrowth and dormancy in axillary buds. , 2001, Plant physiology.

[2]  Philippe Bekaert,et al.  A ray density estimation approach to take into account environment illumination in plant growth simulation , 2004, SCCG '04.

[3]  M. Monsi Uber den Lichtfaktor in den Pflanzengesellschaften und seine Bedeutung fur die Stoffproduktion , 1953 .

[4]  I. Grechi,et al.  Effect of light and nitrogen supply on internal C:N balance and control of root-to-shoot biomass allocation in grapevine , 2007 .

[5]  P. Struik,et al.  Simulation of wheat growth and development based on organ-level photosynthesis and assimilate allocation. , 2010, Journal of experimental botany.

[6]  Paul-Henry Cournède,et al.  Structural Factorization of Plants to Compute Their Functional and Architectural Growth , 2006, Simul..

[7]  I. F. Wardlaw,et al.  Tansley Review No. 27 The control of carbon partitioning in plants. , 1990, The New phytologist.

[8]  Kun Zhou,et al.  Real-time KD-tree construction on graphics hardware , 2008, SIGGRAPH 2008.

[9]  Harri Hakula,et al.  Components of functional-structural tree models , 2000 .

[10]  Aristid Lindenmayer,et al.  Mathematical Models for Cellular Interactions in Development , 1968 .

[11]  Ned Greene,et al.  Voxel space automata: modeling with stochastic growth processes in voxel space , 1989, SIGGRAPH.

[12]  C. Eschenbach,et al.  Emergent properties modelled with the functional structural tree growth model ALMIS: Computer experiments on resource gain and use , 2005 .

[13]  Norishige Chiba,et al.  Visual simulation of botanical trees based on virtual heliotropism and dormancy break , 1994, Comput. Animat. Virtual Worlds.

[14]  Christophe Godin,et al.  A Method for Describing Plant Architecture which Integrates Topology and Geometry , 1999 .

[15]  Xuejin Chen,et al.  Sketch-based tree modeling using Markov random field , 2008, SIGGRAPH 2008.

[16]  H. White,et al.  The Interaction of Factors in the Growth of Lemna , 1936 .

[17]  Radomír Mech,et al.  Plastic trees , 2012, ACM Trans. Graph..

[18]  Jing Hua,et al.  Functional tree models reacting to the environment , 2011, SIGGRAPH '11.

[19]  Radomír Mech,et al.  Visual models of plants interacting with their environment , 1996, SIGGRAPH.

[20]  P. Tomlinson,et al.  Tropical Trees and Forests: An Architectural Analysis , 1978 .

[21]  H. Jensen Realistic Image Synthesis Using Photon Mapping , 2001 .

[22]  Yan Guo,et al.  PART OF A SPECIAL ISSUE ON GROWTH AND ARCHITECTURAL MODELLING A stochastic model of tree architecture and biomass partitioning: application to Mongolian Scots pines , 2011 .

[23]  Thomas J. Givnish,et al.  Adaptation to Sun and Shade: a Whole-Plant Perspective , 1988 .

[24]  Marc Jaeger,et al.  Plant models faithful to botanical structure and development , 1988, SIGGRAPH.

[25]  François X. Sillion,et al.  An efficient instantiation algorithm for simulating radiant energy transfer in plant models , 2003, TOGS.

[26]  D. Irwin,et al.  The role of phenotypic plasticity in driving genetic evolution , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[27]  Paul-Henry Cournède,et al.  Parametric identification of a functional-structural tree growth model and application to beech trees (Fagus sylvatica). , 2008, Functional plant biology : FPB.

[28]  James H. Brown,et al.  A General Model for the Origin of Allometric Scaling Laws in Biology , 1997, Science.

[29]  D. Barthélémy,et al.  Plant architecture: a dynamic, multilevel and comprehensive approach to plant form, structure and ontogeny. , 2007, Annals of botany.

[30]  Dinesh Manocha,et al.  Fast BVH Construction on GPUs , 2009, Comput. Graph. Forum.

[31]  George Drettakis,et al.  Volumetric reconstruction and interactive rendering of trees from photographs , 2004, SIGGRAPH 2004.

[32]  Radomír Mech,et al.  Self-organizing tree models for image synthesis , 2009, ACM Trans. Graph..

[33]  André Lacointe,et al.  Carbon allocation among tree organs: A review of basic processes and representation in functional-structural tree models , 2000 .

[34]  P. de Reffye,et al.  A dynamic, architectural plant model simulating resource-dependent growth. , 2004, Annals of botany.

[35]  Oliver Deussen,et al.  Interactive Modeling of Plants , 1999, IEEE Computer Graphics and Applications.

[36]  Philippe de Reffye,et al.  Calibration of a hydraulic architecture-based growth model of cotton plants , 1999 .

[37]  Brendan Lane,et al.  The use of positional information in the modeling of plants , 2001, SIGGRAPH.

[38]  P. Prusinkiewicz,et al.  Using L-systems for modeling source-sink interactions, architecture and physiology of growing trees: the L-PEACH model. , 2005, The New phytologist.

[39]  D. Barthélémy,et al.  A dynamic model of plant growth with interactions between development and functional mechanisms to study plant structural plasticity related to trophic competition. , 2009, Annals of botany.