Agricultural and Forest Meteorology 184 (2014) 1–11
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Agricultural and Forest Meteorology
jou rn al hom ep age: www.elsevier.com/locate/agrformet
Fraction of canopy intercepted radiation relates differently with crop
coefficient depending on the season and the fruit tree species
Jordi Marsal
a,∗
, Scott Johnson
b
, Jaume Casadesus
a
, Gerardo Lopez
a
,
Joan Girona
a
, Claudio Stöckle
c
a
Irrigation Technology, Institut de Recerca i Tecnologia Agroalimentàries (IRTA), Centre UdL-IRTA, Avda. Rovira Roure, 191, 25198 Lleida, Spain
b
Plant Sciences Department, University of California Davis Kearney Ag Center, Parlier, CA 93648, USA
c
Biological Systems Engineering Department, Washington State University, Pullman, WA 99164-6120, USA
a r t i c l e i n f o
Article history:
Received 3 April 2013
Received in revised form 21 August 2013
Accepted 26 August 2013
Keywords:
Irrigation
CropSyst
Lysimeter
Transpiration
Stem water potential
a b s t r a c t
It is commonly assumed that the fraction of canopy intercepted radiation (f
IR
) should be well correlated
with irrigation crop coefficients (Kc) throughout the season. However, in fruit trees there is some evidence
that such a correlation is different between pre-harvest and postharvest periods. Over two different
years, basal Kc (K
cb
) data from three different weighing lysimeters (one in California growing peach trees,
and the other two in Catalonia growing apple and pear trees) were analyzed using two parameters of
the CropSyst growth model: full canopy Kc (Kc
fc
) and maximum plant hydraulic conductance (C
max
). In
CropSyst, K
cb
is approximated as f
IR
times Kc
fc
. The latter is usually seasonally fixed, but for this study
it was made variable so that it could be adjusted every fortnight throughout the season. Variable Kc
fc
implies the possibility that the K
cb
relationship with f
IR
is not constant. The objective of this study was to
evaluate possible seasonal patterns in the Kc
fc
. The results indicated that Kc
fc
was variable in all species
and it followed a distinctive pattern in three different time periods: (i) initial rise (spring), (ii) plateau or
slight decline (mid-summer), and (iii) decline (autumn). However, the magnitude of Kc
fc
fluctuation was
different among the three species. It fluctuated the most in the slowest growing species (pear), and the
least in the fastest growing species (peach). Apple had an intermediate response. In conclusion, Kc is not
a fixed function of f
IR
. Assumption of a fixed function will introduce errors in plant water use estimation,
which could be especially large in pears and apples. This will be by 50% in pears during postharvest.
© 2013 Elsevier B.V. All rights reserved.
1. Introduction
Modern fruit production is facing the challenge of limited
water resources. In order to optimize irrigation it is necessary
to improve the accuracy of irrigation scheduling programmes.
Water requirements can be calculated using the following equa-
tion: ETc = (Kcb + Ke) × ETo (Allen et al., 1998), where ETc is crop
evapotranspiration, ETo is the reference evapotranspiration, Kcb
is basal crop-specific coefficient that primarily represents plant
transpiration, and Ke accounts for soil evaporation. Accurate deter-
mination of Kc (Kcb + Ke) is a prerequisite for sound irrigation
scheduling. It is widely acknowledged that the fraction of crop
intercepted radiation (f
IR
) is a major determinant of Kc (Suay et al.,
2003). It represents the energy that can be absorbed by the canopy
and therefore be used for transpiration, and it has been assumed
that the relationship between absorbed energy and transpiration
does not change throughout the season (Pereira et al., 2007). This is
∗
Corresponding author. Tel.: +34 973 702670; fax: +34 973 70 2420.
E-mail address: jordi.marsal@irta.es (J. Marsal).
supported by the literature published on peach growing in
lysimeters in California reporting that noon intercepted radiation
produced a significant linear relationship with Kc (Ayars et al., 2003,
Johnson et al., 2005). However, experiments done in apple and pear
lysimeters in Catalonia indicated that Kc showed moderate declines
after harvest without changes in canopy foliage (Girona et al., 2011).
Auzmendi et al. (2011) explained such declines after apple harvest
by a reduction in the ratio of transpiration to intercepted radia-
tion. This seems to emphasize that there are also other factors to
consider such as canopy conductance. Therefore, there seems to
be some basis for challenging the assumption of constancy in the
relation between f
IR
and Kc. For instance it has been found that
fruit sinks are related to leaf conductance which decreases when
fruit are thinned or harvested in peach (Marsal and Girona, 1997).
In terms of tree transpiration, this has also been shown in apple
(Reyes et al., 2006).
Such a principle of constancy has been successfully used in
modelling to calculate evapotranspiration for annual crops in Crop-
Syst (CS) (Stöckle et al., 2003). In CS the f
IR
is used as a multiplier
coefficient of maximum evapotranspiration to separate crop tran-
spiration from soil evaporation. This maximum ET is calculated as
0168-1923/$ – see front matter © 2013 Elsevier B.V. All rights reserved.
http://dx.doi.org/10.1016/j.agrformet.2013.08.008