To develop a method for evaluating artificial light for plants, a mathematical model of transpiration rate in cucumber plants was presented by using parameters representing light, air temperature, humidity and spectral dependence of transpiration rate. The transpiration rate (
E, mg⋅dm
-2⋅min
-1) was divided into two components of
E1in darkness and
E2under radiation, as written by
E=E1+E2.
E1was given by
f1 (T, H) , where
T (°C) and
H (%) are air temperature and relative humidity, respectively.
E2was expressed as
E2=L⋅f2 (T, H) , where L is the parameter representing the light condition and the plant response to the light. The wavelength region of 400 to 700 nm was divided into three regions of B (400≤λ
B≤500 nm), G (500≤λ
G≤600 nm) and
R (600 <λ
R≤700 nm), correspond-ing to the spectral dependence of leaf conductance for water vapor in
Cucurbita maximaL, and blue (
b), green (
g) and red (
r) fluorescent lights were used for the examination; most of the spectral energy of those lights distributed in
B, Gand
R, respectively. The light condition was evaluated by using the total light intensity (
Q, nE⋅cm
-2⋅sec
-1) in the region of 400 to 700 nm and the relative light intensities of
IB,
IG and
IR (
IB+IG+IR=1) in
B,
G and
Rfor representing the spectral energy distribution. The spectral dependence of transpiration rate was similar to that of leaf conductance and was represented by the parameters of
KB, KGand
KR (
KB+KG+KR=1) which characterized the transpiration rate affected by the respective lights in
B, Gand
R. Thus,
L was given by
L=Q⋅ (KB⋅IB+KG⋅IG+KR⋅IR) , and
f2 (T, H) =E2/Lwas determined by measuring
E2 under the respective light and air conditions. Therefore,
E=f1 (T, H) +Q⋅ (KB⋅IB+KG⋅IG+KR⋅IR) ⋅f2 (T, H) was presented as a model. From the fact that the transpiration rates simulated from the model were close to measured ones under two typical lights from white fluorescent and incandescent lamps at different air temperatures and humilities, it was demonstrated that the parameters representing the light can be used to evaluate artificial light for plants.
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