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This Concept Map, created with IHMC CmapTools, has information related to: Size-density relations, Equilibrium Characteristic for Tree density (N), <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Stem diameter ( </mtext> <mmultiscripts> <mtext> D </mtext> <mtext> H </mtext> <none/> </mmultiscripts> <mtext> ) </mtext> </mrow> </math> averaged over stand at 1.37 m Quadratic mean diameter (Dq), <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mmultiscripts> <mtext> D </mtext> <mtext> H </mtext> <none/> </mmultiscripts> <mtext> ∝ </mtext> <mmultiscripts> <mfenced open="(" close=")"> <mtext> Al⋅S </mtext> </mfenced> <none/> <mtext> x </mtext> </mmultiscripts> </mrow> </math> where x ≈0.33, Structurally based expression of production over time, creates Trajectory, height growth quotient, Bending stress and strain in tree stems is Constant with stem height, Amount of leaf area per tree (Al) product is Bending moment (M), Tree density (N) over time, creates Trajectory, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Flexure formula
of cantilever beam
mechanics </mtext> </mrow> </math> is basis for calculating Bending stress and strain in tree stems, Cambium activity produces Annual growth layer, "a" varies between 1.5 and 2.0, Equilibrium not limited by Growing space, Stem volume mean value at Equilibrium, Live-crown ratio (Cr) defines Leverage (S), What? Leaf area characteristics?, Structurally based expression of production appears to be a Characteristic, Leverage (S) decreases with Height on stem, Annual growth layer which is Volume growth, is it another expression of growth efficiency Dean, T. J., Long, J. N., & Smith, F. W. (1988). Bias in leaf area - sapwood area ratios and its impact on growth analysis in Pinus contorta. Trees Structure and Function, 2, 104–109., Mortality decreases Tree density (N)