Jp. Lhomme et al., ESTIMATING SENSIBLE HEAT-FLUX FROM RADIOMETRIC TEMPERATURE OVER SPARSE MILLET, Agricultural and forest meteorology, 68(1-2), 1994, pp. 77-91
A two-layer model was developed and used to estimate sensible heat flu
x over a sparse millet croP froM Surface radiometric temperature. The
millet crop was grown in farming conditions on the central site of the
HAPEX-Sahel experiment in southern Niger. Surface temperature was mea
sured with a nadir-looking radiometer. Measurements of the convective
fluxes of sensible and latent heat were made simultaneously by means o
f the energy balance-Bowen ratio method. It is assumed that infra-red
surface temperature can be represented by a weighted sum of foliage an
d soil surface temperatures, the weighting factors being the fractiona
l areas of foliage and soil surface. With this assumption, the basic e
quations of two-layer models lead to an expression of sensible heat fl
ux H close in form to the Ohm's law type formulation obtained from a o
ne-layer approach, but in which the temperature difference between the
surface and the air T(r) - T(a) has to be corrected by a factor propo
rtional to the temperature difference deltaT between the foliage and t
he substrate. DeltaT being not available in our experiment, it was ass
umed that a statistical relationship linking deltaT to T(r) - T(a) of
the type deltaT = a(T(r) - T(a))m could be used. Using one part of the
data set, m and a were statistically determined by adjusting H estima
ted by the model to H observed by the Bowen ratio method. The best adj
ustment gave m = 2 and a = 0.10. For the other part of the data set (d
ifferent from the one employed to calibrate this relationship) it was
found that H estimated using the two-layer model with this empirical r
elationship compared fairly well with the values of H observed.