Multiscale Framework for Modeling and Analyzing Light Interception by Trees

This paper presents a new framework for modeling light interception by isolated trees which makes it possible to analyze the influence of structural tree organization on light capture. The framework is based on a multiscale representation of the plant organization. Tree architecture is decomposed into a collection of components representing clusters of leaves at different scales in the tree crown. The components are represented by porous envelopes automatically generated as convex hulls containing components at a finer scale. The component opacity is defined as the interception probability of a light beam going through its envelope. The role of tree organization on light capture was assessed by running different scenarii where the components at any scale were either randomly distributed or localized to their actual three-dimensional (3D) position. The modeling framework was used with 3D digitized fruit trees, namely peach and mango trees. A sensitivity analysis was carried out to assess the effect of the ...

[1]  Hervé Sinoquet,et al.  Light and carbon acquisition partitioning between flushes of two-year-old mango trees , 2004 .

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

[3]  J. Phattaralerphong,et al.  A photographic gap fraction method for estimating leaf area of isolated trees: Assessment with 3D digitized plants. , 2006, Tree physiology.

[4]  C. Varlet-Grancher,et al.  Crop Structure and Light Microclimate: Characterization and Applications , 1993 .

[5]  J. H. M. Thornley,et al.  Light Interception by an Isolated Plant A Simple Model , 1973 .

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

[7]  Christophe Godin,et al.  Exploring plant topological structure with the AMAPmod software: an outline. , 1997 .

[8]  H. Sinoquet,et al.  Simple equations to estimate light interception by isolated trees from canopy structure features: assessment with three-dimensional digitized apple trees. , 2007, The New phytologist.

[9]  M. Meron,et al.  Canopy clumpiness and radiation penetration in a young hedgerow apple orchard , 1995 .

[10]  Hervé Sinoquet,et al.  Leaf orientation and sunlit leaf area distribution in cotton , 1997 .

[11]  J. Norman,et al.  Radiative Transfer in an Array of Canopies1 , 1983 .

[12]  T. Nilson A theoretical analysis of the frequency of gaps in plant stands , 1971 .

[13]  H. Sinoquet,et al.  Measurement and visualization of the architecture of an adult tree based on a three-dimensional digitising device , 1997, Trees.

[14]  Christophe Godin,et al.  ESTIMATING THE FRACTAL DIMENSION OF PLANTS USING THE TWO-SURFACE METHOD: AN ANALYSIS BASED ON 3D-DIGITIZED TREE FOLIAGE , 2006 .

[15]  J. Monteith,et al.  The Radiation Regime and Architecture of Plant Stands. , 1983 .

[16]  Christophe Godin,et al.  PlantGL: A Python-based geometric library for 3D plant modelling at different scales , 2009, Graph. Model..

[17]  Marcel Fuchs,et al.  The distribution of leaf area, radiation, photosynthesis and transpiration in a Shamouti orange hedgerow orchard. Part II. Photosynthesis, transpiration, and the effect of row shape and direction☆ , 1987 .

[18]  M. Carter Computer graphics: Principles and practice , 1997 .

[19]  J. W. Palmer,et al.  A Simple Model of Light Transmission and Interception by Discontinuous Canopies , 1979 .

[20]  G. Carter,et al.  Influence of shoot structure on light interception and photosynthesis in conifers. , 1985, Plant physiology.

[21]  H. Sinoquet,et al.  Characterization of the Light Environment in Canopies Using 3D Digitising and Image Processing , 1998 .

[22]  Alessandro Cescatti,et al.  Modelling the radiative transfer in discontinuous canopies of asymmetric crowns. II. Model testing and application in a Norway spruce stand , 1997 .

[23]  Godin,et al.  A multiscale model of plant topological structures , 1998, Journal of theoretical biology.

[24]  David P. Dobkin,et al.  The quickhull algorithm for convex hulls , 1996, TOMS.

[25]  Guy L. Curry,et al.  Light interception by isolated plants , 1979 .

[26]  Hervé Sinoquet,et al.  Three-dimensional reconstruction of partially 3D digitised peach tree canopies , 2004 .

[27]  H Sinoquet,et al.  A biochemical model of photosynthesis for mango leaves: evidence for the effect of fruit on photosynthetic capacity of nearby leaves. , 2003, Tree physiology.

[28]  Przemyslaw Prusinkiewicz,et al.  Self-Similarity in Plants: Integrating Mathematical and Biological Perspectives , 2004 .

[29]  Przemyslaw Prusinkiewicz,et al.  TOWARD A QUANTIFICATION OF SELF-SIMILARITY IN PLANTS , 2005 .

[30]  J. Norman,et al.  Photosynthesis in Sitka spruce (Picea sitchensis (Bong.) Carr.). V. Radiation penetration theory and a test case , 1975 .

[31]  J. Phattaralerphong,et al.  Foliage randomness and light interception in 3-D digitized trees: an analysis from multiscale discretization of the canopy , 2005 .

[32]  Hervé Sinoquet,et al.  Light interception in apple trees influenced by canopy architecture manipulation , 2004, Trees.

[33]  R. Ceulemans,et al.  A fractal-based Populus canopy structure model for the calculation of light interception , 1994 .

[34]  J. Ross The radiation regime and architecture of plant stands , 1981, Tasks for vegetation sciences 3.

[35]  Yuri Knyazikhin,et al.  Small-sclae study of three-dimensional distribution of photosynthetically active radiation in a forest , 1997 .

[36]  R. Myneni Modeling radiative transfer and photosynthesis in three-dimensional vegetation canopies , 1991 .

[37]  Luciano Mateos,et al.  Non-destructive measurement of leaf area in olive (Olea europaea L.) trees using a gap inversion method , 1995 .

[38]  D S Kimes,et al.  Radiative transfer model for heterogeneous 3-D scenes. , 1982, Applied optics.

[39]  Heikki Smolander,et al.  The Ratio of Shoot Silhouette Area to Total Needle Area in Scots Pine , 1988, Forest Science.

[40]  Alessandro Cescatti,et al.  Constraints on light interception efficiency due to shoot architecture in broad-leaved Nothofagus species. , 2004, Tree physiology.

[41]  D. Whitehead,et al.  Architectural distribution of foliage in individual Pinus radiata D. Don crowns and the effects of clumping on radiation interception. , 1990, Tree physiology.