How Predictive are Computer Simulations of Tree Architecture?

Botanical trees display some of the most complex structural patterns in plants. The concept of tree architectural model by Hallé, Oldeman, and Tomlinson has catalyzed a variety of approaches to the problem of form, reviewed here. Computer simulations of three-dimensional structure have become increasingly important but vary in their ability to test hypotheses about optimization and to predict mature tree form. The longevity of trees and the significant role of phenotypic plasticity limit the predictability of present simulations. Future promising directions in tree architecture research will make use of better empirical models for branching pattern and leaf placement, correlation of architectural parameters with ecological factors, and more quantitative descriptions of recent holistic concepts of architecture: metamorphosis and patterns of organization.

[1]  J. B. Fisher,et al.  Tree architecture of Neea (Nyctaginaceae): geometry and simulation of branches and the presence of two different models , 1985 .

[2]  K. Niklas.  Computer-simulated plant evolution , 1986 .

[3]  K. Kubitzki,et al.  Architecture of Tropical Trees@@@Essai sur l'architecture et la dynamique de croissance des arbres tropicaux , 1972 .

[4]  E. F. Brunig.  Tree forms in relation to environmental conditions: an ecological viewpoint , 1976 .

[5]  M. Laugier.  Essai Sur L'Architecture , 1967 .

[6]  Karl J. Niklas,et al.  Mechanical and photosynthetic constraints on the evolution of plant shape , 1984, Paleobiology.

[7]  R. Hashimoto.  Canopy development in young sugi (Cryptomeria japonica) stands in relation to changes with age in crown morphology and structure. , 1991, Tree physiology.

[8]  E. D. Ford,et al.  Simulation of branch growth in the Pinaceae: Interactions of morphology, phenology, foliage productivity, and the requirement for structural support, on the export of carbon† , 1990 .

[9]  David J. Rapport,et al.  Myths in the foundations of economics and ecology , 1991 .

[10]  T. Pukkala,et al.  Effect of crown shape and tree distribution on the spatial distribution of shade , 1987 .

[11]  A. Bell.  The simulation of branching patterns in modular organisms , 1986 .

[12]  H. Honda.  Description of the form of trees by the parameters of the tree-like body: effects of the branching angle and the branch length on the sample of the tree-like body. , 1971, Journal of theoretical biology.

[13]  Campbell G. Davidson,et al.  An analysis of architectural parameters of male and female Fraxinus pennsylvanica in relation to crown shape and crown location , 1990 .

[14]  M. Cannell,et al.  Support costs of different branch designs: effects of position, number, angle and deflection of laterals. , 1988, Tree physiology.

[15]  E. D. Ford,et al.  Growth of a Sitka Spruce Plantation: Analysis and Stochastic Description of the Development of the Branching Structure , 1978 .

[16]  H. Honda,et al.  Control of Development in the Bifurcating Branch System of Tabebuia rosea: A Computer Simulation , 1984, Botanical Gazette.

[17]  A. Cronquist,et al.  Axioms and Principles of Plant Construction , 1982 .

[18]  H. S. Horn.  The adaptive geometry of trees , 1971 .

[19]  James White,et al.  THE PLANT AS A METAPOPULATION , 1979 .

[20]  H. Honda,et al.  Computer Simulation of Branching Pattern and Geometry in Terminalia (Combretaceae), a Tropical Tree , 1977, Botanical Gazette.

[21]  H. Honda,et al.  BRANCH GEOMETRY AND EFFECTIVE LEAF AREA: A STUDY OF TERMINALIA‐BRANCHING PATTERN. 2. SURVEY OF REAL TREES , 1979 .

[22]  H. Honda,et al.  COMPUTER SIMULATION OF BRANCH INTERACTION AND REGULATION BY UNEQUAL FLOW RATES IN BOTANICAL TREES , 1981 .

[23]  A. Bell,et al.  Branching patterns: the simulation of plant architecture. , 1979, Journal of theoretical biology.

[24]  H. Kroon,et al.  CLONAL GROWTH IN PLANTS: REGULATION AND FUNCTION , 1990 .

[25]  T. Pukkala,et al.  Interaction between canopy architecture and photosynthetically active direct radiation at different latitudes: simulation experiments and their ecological implications , 1991 .

[26]  M. Cannell,et al.  Branch breakage under snow and ice loads. , 1989, Tree physiology.

[27]  D. Waller,et al.  Non-stationarity of tree branching patterns and bifurcation ratios , 1986, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[28]  David E. Hibbs,et al.  PLASTICITY OF TREE ARCHITECTURE: SPECIFIC AND ECOLOGICAL VARIATIONS FOUND IN AUBREVILLE'S MODEL , 1982 .

[29]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.

[30]  A. Osawa,et al.  A profile theory of tree growth , 1991 .

[31]  H. Honda,et al.  Ratio of tree branch lengths: The equitable distribution of leaf clusters on branches. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[32]  Thomas J. Givnish,et al.  On the economy of plant form and function. , 1988 .

[33]  P. B. Tomlinson,et al.  Chance and Design in the Construction of Plants , 1982 .

[34]  Marc Jaeger,et al.  Modélisation stochastique de la croissance et de l'architecture du cotonnier. 1. Tiges principales et branches fructifères primaires , 1988 .

[35]  H. Ford.  Investigating the Ecological and Evolutionary Significance of Plant Growth Form using Stochastic Simulation , 1987 .

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

[37]  J. Fisher.  TREE ARCHITECTURE: RELATIONSHIPS BETWEEN STRUCTURE AND FUNCTION , 1984 .

[38]  R. Hashimoto.  Analysis of the morphology and structure of crowns in a young sugi (Cryptomeria japonica) stand. , 1990, Tree physiology.

[39]  F. Koike.  Foliage-crown development and interaction in Quercus gilva and Q. acuta , 1989 .

[40]  M. Cain,et al.  GROWTH IN MEDEOLA VIRGINIANA CLONES. II. STOCHASTIC SIMULATION OF VEGETATIVE SPREAD. , 1988, American journal of botany.