3-D GROWTH PATTERNS OF TREES: EFFECTS OF CARBON ECONOMY, MERISTEM ACTIVITY, AND SELECTION

A functional-structural plant growth model was used to explore how selection might influence the ontogenetic patterns in three-dimensional (3-D) growth of trees. The 3-D plant structure is defined by the orientation of metamers. The dynamics in the 3-D plant structure depend on the production of metamers and/or leaf pipes and the loss of such plant components. In the simulations, metamer and leaf-pipe traits were kept constant, so all ontogenetic changes depended on the spatial arrangement of metamers and/or leaf pipes. This study explores the consequences of three new assumptions for ontogenetic changes in 3-D plant structure: (1) meristems are produced at the positions where branches fall, thus enabling a tree to maintain a viable meristem population within the crown; (2) metamers are placed at meristem positions in the 3-D structure where the carbon benefit over the expected life span of a leaf pipe is maximized; (3) the carbon allocation to reproduction maximizes the long-term reproductive output. In combination with the constraints set by the morphology of metamer and leaf pipe, the carbon economy, and light conditions, these assumptions explain how selection may cause a sigmoid expansion phase and a stable steady-state phase; adaptive responses in 3-D structure during ontogeny; limits to tree size (including height); constant allometric scaling during the expansion phase; different scaling for trees in different light environments; and responses in optimal reproductive allocation to forest light environments. These results support the idea that selection for maximizing the net carbon gain determines how trees change in 3-D tree structure during ontogeny and, at the same time, how they acclimate in 3-D structure in response to light gradients.

[1]  Robert W. Pearcy,et al.  A three-dimensional crown architecture model for assessment of light capture and carbon gain by understory plants , 1996, Oecologia.

[2]  George W. Koch,et al.  The limits to tree height , 2004, Nature.

[3]  R. V. Rompaey Forest gradients in West Africa : a spatial gradient analysis , 1993 .

[4]  T. Kira,et al.  Structure of forest canopies as related to their primary productivity , 1969 .

[5]  Tree architecture in a Bornean lowland rain forest: intraspecific and interspecific patterns , 2001 .

[6]  Plato's Plant: On the Mathematical Structure of Simple Plants and Canopies , 1998 .

[7]  James H. Brown,et al.  Allometric scaling of production and life-history variation in vascular plants , 1999, Nature.

[8]  Fernando Valladares,et al.  Convergence in light capture efficiencies among tropical forest understory plants with contrasting crown architectures: a case of morphological compensation. , 2002, American journal of botany.

[9]  F. Bongers,et al.  Crown development in tropical rain forest trees: patterns with tree height and light availability , 2001 .

[10]  D. Cohen,et al.  Maximizing final yield when growth is limited by time or by limiting resources. , 1971, Journal of theoretical biology.

[11]  Annikki Mäkelä,et al.  Bridging process-based and empirical approaches to modeling tree growth. , 2005, Tree physiology.

[12]  F. Schieving,et al.  Performance of trees in forest canopies: explorations with a bottom-up functional-structural plant growth model. , 2005, The New phytologist.

[13]  R. Ricklefs Environmental Heterogeneity and Plant Species Diversity: A Hypothesis , 1977, The American Naturalist.

[14]  Eric Garnier,et al.  Ecological Significance of Inherent Variation in Relative Growth Rate and Its Components , 2007 .

[15]  Maurizio Mencuccini,et al.  The ecological significance of long-distance water transport: short-term regulation, long-term acclimation and the hydraulic costs of stature across plant life forms , 2003 .

[16]  Frans Bongers,et al.  Architecture of 54 moist-forest tree species: traits, trade-offs, and functional groups. , 2006, Ecology.

[17]  B. Casper,et al.  MORPHOGENETIC CONSTRAINTS ON PATTERNS OF CARBON DISTRIBUTION IN PLANTS , 1984 .

[18]  M. Breugel,et al.  Effective height development of four co-occurring species in the gap-phase regeneration of Douglas fir monocultures under nature-oriented conversion , 2007 .

[19]  G. Evans,et al.  The quantitative analysis of plant growth , 1972 .

[20]  A. S. Larsson,et al.  Meristem Allocation as a Means of Assessing Reproductive Allocation , 2005 .

[21]  L Poorter,et al.  Light environment, sapling architecture, and leaf display in six rain forest tree species. , 1999, American journal of botany.

[22]  Roderick C. Dewar,et al.  Carbon Allocation in Trees: a Review of Concepts for Modelling , 1994 .

[23]  Hiroyuki Muraoka,et al.  Crown architecture in sun and shade environments: assessing function and trade-offs with a three-dimensional simulation model. , 2005, The New phytologist.

[24]  Daniel S. Falster,et al.  Leaf size and angle vary widely across species: what consequences for light interception? , 2003, The New phytologist.

[25]  Claud L. Brown,et al.  APICAL DOMINANCE AND FORM IN WOODY PLANTS: A REAPPRAISAL , 1967 .

[26]  F. Bongers,et al.  MODULE RESPONSES IN A TROPICAL FOREST TREE ANALYZED WITH A MATRIX MODEL , 2003 .

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

[28]  Annikki Mäkelä,et al.  Implications of the pipe model theory on dry matter partitioning and height growth in trees , 1985 .

[29]  Andrea Rinaldo,et al.  Supply–demand balance and metabolic scaling , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[30]  Uta Berger,et al.  Pattern-Oriented Modeling of Agent-Based Complex Systems: Lessons from Ecology , 2005, Science.

[31]  B. Wilson,et al.  Apical control of branch growth and angle in woody plants. , 2000, American journal of botany.

[32]  Jari Perttunen,et al.  LIGNUM: A Tree Model Based on Simple Structural Units , 1996 .

[33]  A. Bell,et al.  Plant Form: An Illustrated Guide to Flowering Plant Morphology , 1991 .

[34]  T. Sachs,et al.  Self-organization of tree form: a model for complex social systems. , 2004, Journal of theoretical biology.

[35]  E. David Ford,et al.  A Model of Competition Incorporating Plasticity through Modular Foliage and Crown Development , 1993 .

[36]  S. Thomas Relative size at onset of maturity in rain forest trees : a comparative analysis of 37 Malaysian species , 1996 .

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

[38]  L. Poorter,et al.  Mechanical branch constraints contribute to life‐history variation across tree species in a Bolivian forest , 2006 .

[39]  Y. Iwasa,et al.  Tree height and crown shape, as results of competitive games , 1985 .

[40]  Risto Sievänen,et al.  Height growth strategies in open-grown trees , 1992 .

[41]  B. Finegan Pattern and process in neotropical secondary rain forests: the first 100 years of succession. , 1996, Trends in ecology & evolution.

[42]  Peter Pfeifer,et al.  A Method for Estimation of Fractal Dimension of Tree Crowns , 1991 .

[43]  P. Prusinkiewicz Modeling plant growth and development. , 2004, Current opinion in plant biology.

[44]  Annikki Mäkelä,et al.  Process-based modelling of tree and stand growth: towards a hierarchical treatment of multiscale processes , 2003 .

[45]  I. R. Johnson,et al.  A model of instantaneous and daily canopy photosynthesis , 1984 .

[46]  G D Ruxton,et al.  Spatial self-organisation in ecology: pretty patterns or robust reality? , 1997, Trends in ecology & evolution.

[47]  Amos Maritan,et al.  Size and form in efficient transportation networks , 1999, Nature.

[48]  M Cline,et al.  Concepts and terminology of apical dominance. , 1997, American journal of botany.

[49]  R. Chazdon,et al.  Light Environments of Tropical Forests , 1984 .

[50]  Stephanie A. Bohlman,et al.  Testing metabolic ecology theory for allometric scaling of tree size, growth and mortality in tropical forests. , 2006, Ecology letters.

[51]  R. Hunt Plant growth analysis , 1980 .

[52]  L. Poorter,et al.  Leaf Traits Determine the Growth‐Survival Trade‐Off across Rain Forest Tree Species , 2006, The American Naturalist.

[53]  Y. Iwasa,et al.  Shoot/root balance of plants: Optimal growth of a system with many vegetative organs , 1984 .

[54]  T. Kira,et al.  A QUANTITATIVE ANALYSIS OF PLANT FORM-THE PIPE MODEL THEORY : II. FURTHER EVIDENCE OF THE THEORY AND ITS APPLICATION IN FOREST ECOLOGY , 1964 .

[55]  D. Sprugel,et al.  When branch autonomy fails: Milton's Law of resource availability and allocation. , 2002, Tree Physiology.

[56]  C. Messier,et al.  Predicting and managing light in the understory of boreal forests , 1999 .

[57]  A. Mäkelä Derivation of stem taper from the pipe theory in a carbon balance framework. , 2002, Tree physiology.

[58]  L. Poorter,et al.  Wood mechanics, allometry, and life-history variation in a tropical rain forest tree community. , 2006, The New phytologist.

[59]  Jacob Weiner,et al.  The nature of tree growth and the “age‐related decline in forest productivity” , 2001 .

[60]  R. Wiegert,et al.  Optimal allocation of energy to growth and reproduction. , 1986, Theoretical population biology.

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

[62]  James H. Brown,et al.  A general model for the structure and allometry of plant vascular systems , 1999, Nature.

[63]  Maurizio Mencuccini,et al.  Size-mediated ageing reduces vigour in trees. , 2005, Ecology letters.

[64]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[65]  T. Kohyama,et al.  Significance of allometry in tropical saplings. , 1990 .

[66]  Stephen P. Hubbell,et al.  Reproductive size thresholds in tropical trees: variation among individuals, species and forests , 2005, Journal of Tropical Ecology.

[67]  J. Hanan,et al.  Module and metamer dynamics and virtual plants , 1994 .