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Table 2 A list of the abbreviations and symbols used in the text and in equations

From: Using a stand-level model to predict light absorption in stands with vertically and horizontally heterogeneous canopies

Symbol

Description

APAR

Absorption of photosynthetically active radiation (PAR) (MJ m−2 month−1)

e %

Relative average error

ζ

Fraction of ground area covered by the canopy

f H

Fraction of PAR that is absorbed by a homogeneous canopy

f i

Fraction of PAR that is absorbed by species i

i

Indicates the i th species of n species

j

Indicates the j th canopy layer of n layers

k

Light extinction coefficient

k H

Light extinction coefficient of a homogeneous canopy

H b

Height to crown base (m)

h m

The mid-crown-height (m) of a layer or species; given as (height – H b )/2 + H b

λ h

Empirical parameter to account for the effects of horizontal heterogeneity within the j th canopy layer

λ v

Empirical parameter to quantify the vertical structure of a canopy layer and to partition layer APAR to each species within the layer

L

Leaf area index (m2 m−2)

L A

Individual tree leaf area (m2)

LAD

Leaf-area density in terms of leaf area per crown volume (m2 m−3)

LCL

Live-crown length (m)

MAE%

Relative mean absolute error

MSE

Mean square error

O

Observed calculations from the tree-level model (Maestra)

O ˜

Mean of O

P

Predicted values from the stand-level model

P ˜

Mean of P

S A

Crown surface area of individual trees (m2)

v frac

Sum of the crown volume (m3) of all crowns within a given layer within one hectare divided by the total volume of that layer

ϕ

Empirical parameter to quantify the horizontal structure of a canopy layer (see Appendix A)

z adj

An adjusted mean midday solar zenith angle (°) (see Appendix B)