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poster - International Conference of Agricultural Engineering

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As evidenced by Rana et al. (2005), for irrigated crops r c is not a constant, but it varied<br />

depending on the available energy and the vapour pressure deficit. Katerji and Perrier (1983)<br />

proposed to calculate r c as:<br />

*<br />

rc<br />

r<br />

= a + b<br />

(5)<br />

* ∆ + γ ρCpD<br />

r = ⋅<br />

(6)<br />

ra<br />

ra<br />

∆γ A<br />

where a and b are empirical calibration coefficients which require experimental<br />

determination; r* (s m -1 ) is given as (Monteith, 1965).<br />

In our study, the canopy resistance was calculated from eq. 4, by introducing the λE corr<br />

values calculated by eq. 2, together with the measured values <strong>of</strong> D and A, and the estimated<br />

values <strong>of</strong> r a :<br />

ln(z − d) /(hc<br />

− d)<br />

ra<br />

= (7)<br />

*<br />

ku<br />

where z is the reference point above the canopy (8 meter), d (m), the zero plane<br />

displacement is estimated as a portion <strong>of</strong> the canopy height where an intermediate scaling is<br />

d=0.75 h c , h c is the mean height <strong>of</strong> the orchard (3.75 m), k=0.4 is the von Karman constant<br />

and u* is the friction velocity (m s -1 ) measured by the EC method. The obtained values <strong>of</strong> r c<br />

were combined with eq. 5 to estimate the parameter a and b.<br />

The model was calibrated using 3 months <strong>of</strong> data (June-August) during the irrigation season<br />

2010. A linear curve fit resulted in a=0.364 and b=0.0422 (coefficient <strong>of</strong> determination<br />

R 2 =0.6287).<br />

The final expression <strong>of</strong> the model at hourly time scale is:<br />

∆A<br />

+ ( ρCp<br />

D ra<br />

)<br />

λ Emod<br />

=<br />

(8)<br />

∆ + γ( 1.0422 + 0.364(r * / ra<br />

))<br />

The calculation <strong>of</strong> the orange orchard ET c,mod at daily time scale was obtained by summation<br />

<strong>of</strong> the hourly values <strong>of</strong> λE mod (from eq. 8), after dividing by λ.<br />

2.5. Determination <strong>of</strong> the crop coefficient Kc<br />

Crop coefficients are determined by calculating the ratio K c = ET c,mod /ET o , where ET c,mod is the<br />

evapotranspiration <strong>of</strong> a well-watered crop and ET 0 is the reference evapotranspiration<br />

calculated by the Penman-Montetih method (Allen et al., 1998). The variables used for ET 0<br />

determination were measured in an agrometeorlogical station <strong>of</strong> the Sicilian<br />

Agrometerological Service (SIAS) located 3.0 km away from the experimental field. The<br />

station was equipped with instruments for measuring the standard meteorological variables<br />

(solar radiation, wind speed and direction, air temperature, relative humidity).<br />

3. Results and discussion<br />

3.1. BR-correction <strong>of</strong> measured sensible and latent heat fluxes<br />

The energy balance ratio, i.e. the ratio <strong>of</strong> turbulent energy fluxes to available energy was<br />

0.89 in 2010 and 0.86 in 2011. The RMSE (root mean square error) for 1 h values turbulent<br />

fluxes was 1.27 and 1.29 MJ m -2 h -1 , during 2010 and 2011 respectively, evidencing the good<br />

quality <strong>of</strong> the dataset. The latent heat flux (λE) was always in excess <strong>of</strong> the sensible heat flux<br />

(H) during daylight hours. The H was higher than the soil heat flux (G). At the night the<br />

results from Eddy Covariance showed H and LE approaching to zero. Unstable atmospheric<br />

conditions predominated above the orchard, with the sensible heat flux (H) accounting for<br />

about 30% <strong>of</strong> R n during both the monitoring periods. The significant leaf area index (LAI) <strong>of</strong><br />

orange crop within the study site (LAI <strong>of</strong> about 4-4.7 m 2 m -2 ) caused solar radiation to hardly<br />

penetrate through the canopy. As a consequence, the soil heat flux (G) at daily scale was<br />

small and negative, with daily average value less than 1% <strong>of</strong> R n . The largest part <strong>of</strong> R n was<br />

used as latent heat flux (λE), that represents on average 67% <strong>of</strong> R n during the year 2010 and<br />

57% <strong>of</strong> R n during 2011. The corresponding evaporative fractions (E F =λE/(R n -G)) were 0.70<br />

and 0.60. Monthly data show that, after forcing (through the BR approach) the measured<br />

energy balance data to close, the discrepancy between the measured available energy (R n -<br />

G) and the turbulent fluxes (H corr +λE corr ) tend to be neglected. In particular, H corr increased <strong>of</strong>

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