Application of the Functional-Structural Tree Model LIGNUM to Sugar Maple Saplings (Acer saccharum Marsh) Growing in Forest Gaps

LIGNUM is a functional-structural model that represents a tree using four modelling units which closely resemble the real structure of trees: tree segments, tree axes, branching points and buds. Metabolic processes are explicitly related to the structural units in which they take place. Here we adapt earlier versions of LIGNUM designed to model growth of conifers for use with broad-leaved trees. Two primary changes are involved. First, the tree segment for broad-leaved trees consists of enclosed cylinders of heartwood, sapwood and bark. Leaves consisting of petioles and blades are attached to the segments. Secondly, axillary buds and rules governing their dormancy are included in the model. This modified version of LIGNUM is used to simulate the growth and form of sugar maple saplings in forest gaps. The annual growth of the model tree is driven by net production after respiration losses are taken into account. The production rate of each leaf depends on the amount of photosynthetically active radiation it receives. The radiation regime is tracked explicitly in different parts of the tree crown using a model of mutual shading of the leaves. Forest gaps are represented by changing the radiation intensity in different parts of the model sky. This version of LIGNUM modified for use with broad-leaf, deciduous trees and parameterized for sugar maple, yields good simulations of growth and form in saplings from different forest gap environments.

[1]  Jari Perttunen,et al.  LIGNUM: a model combining the structure and the functioning of trees , 1998 .

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

[3]  Pertti Hari,et al.  Stand growth model based on carbon uptake and allocation in individual trees , 1986 .

[4]  E. Nikinmaa,et al.  Effect of branch position and light availability on shoot growth of understory sugar maple and yellow birch saplings , 2000 .

[5]  D. Sims,et al.  Scaling sun and shade photosynthetic acclimation of Alocasia macrorrhiza to whole‐plant performance – II. Simulation of carbon balance and growth at different photon flux densities , 1994 .

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

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

[8]  J. Landsberg Crop physiology of forest trees , 1987 .

[9]  C. Körner Some Often Overlooked Plant Characteristics as Determinants of Plant Growth: A Reconsideration , 1991 .

[10]  K. Pregitzer,et al.  Patterns of fine root mortality in two sugar maple forests , 1993, Nature.

[11]  M. Küppers,et al.  4 – Canopy Gaps: Competitive Light Interception and Economic Space Filling—A Matter of Whole-Plant Allocation , 1994 .

[12]  Winfried Kurth,et al.  Die Simulation der Baumarchitektur mit Wachstumsgrammatiken , 1999 .

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

[14]  S. Long,et al.  Free-air Carbon Dioxide Enrichment (FACE) in Global Change Research: A Review , 1999 .

[15]  K. Pregitzer,et al.  Temporal and depth-related patterns of fine root dynamics in northern hardwood forests , 1996 .

[16]  K. Pregitzer,et al.  Fine root respiration in northern hardwood forests in relation to temperature and nitrogen availability. , 1995, Tree physiology.

[17]  H. Kawanishi Numerical analysis of forest temperature. I. Diurnal variations , 1986 .

[18]  H. Anton Elementary Linear Algebra , 1970 .

[19]  Jari Perttunen,et al.  Adaptation of the LIGNUM model for simulations of growth and light response in Jack pine , 2001 .

[20]  Christian Messier,et al.  Leaf- and plant-level carbon gain in yellow birch, sugar maple, and beech seedlings from contrasting forest light environments , 2000 .

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

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

[23]  K. Nadelhoffer,et al.  Fine Root Production Estimates and Belowground Carbon Allocation in Forest Ecosystems , 1992 .

[24]  Jari Perttunen,et al.  Evaluation of importance of sapwood senescence on tree growth using the model lignum , 1997 .

[25]  Peter B. Reich,et al.  Are shade tolerance, survival, and growth linked? Low light and nitrogen effects on hardwood seedlings , 1996 .

[26]  William K. Smith,et al.  Contribution of intercellular reflectance to photosynthesis in shade leaves , 1996 .

[27]  Godefridus M. J. Mohren,et al.  Simulation of forest growth, applied to douglas fir stands in the Netherlands , 1987 .

[28]  Christian Messier,et al.  Growth and morphological responses of yellow birch, sugar maple, and beech seedlings growing under a natural light gradient , 1998 .

[29]  E. Nikinmaa,et al.  Effects of light availability and sapling size on the growth, biomass allocation, and crown morphology of understory sugar maple, yellow birch, and beech , 2000 .

[30]  J. Fisher,et al.  How Predictive are Computer Simulations of Tree Architecture? , 1992, International Journal of Plant Sciences.

[31]  P. Reich,et al.  Relationships of leaf dark respiration to leaf nitrogen, specific leaf area and leaf life-span: a test across biomes and functional groups , 1998, Oecologia.