Fraction of canopy intercepted radiation relates differently with crop coefficient depending on the season and the fruit tree species
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 equation: 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 determination of Kc (Kcb + Ke) is a prerequisite for sound irrigation scheduling. It is widely acknowledged that the fraction of crop intercepted radiation (fIR) 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 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 radiation. 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 fIR 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 CropSyst (CS) (Stöckle et al., 2003). In CS the fIR is used as a multiplier coefficient of maximum evapotranspiration to separate crop transpiration from soil evaporation. This maximum ET is calculated as ETo times Kcfc, where Kcfc is a parameter of the model which corresponds to Kc for a canopy that is fully covering the ground. In simulations for annual crops, Kcfc has one single value for the season. However, for deciduous fruit trees, our hypothesis is that Kcfc may be variable depending on the species and time of the year. Our objective was to find out if Kcfc fluctuated according to a clear seasonal pattern and if this occurred similarly for three different deciduous tree species. Eventually, Kcfc optimization in CS would serve to adequately simulate crop ET throughout the season for the species studied.
Section snippets
Model description
CropSyst is a comprehensive cropping systems model that covers a broad range of production and environmental factors (Stöckle et al., 2003). A manual of CropSyst with full description of input parameters and file management is available at http://www.bsyse.wsu.edu/CS_Suite/. In recent modifications, CS has been made applicable to deciduous trees. Although species specific applications need to be calibrated, it has been successful at simulating plant water stress in pear trees during short
Results
Agreement between CS outputs and measured values of ET, Kcb, and Ψstem throughout the full canopy cover period could only be optimized when Kcfc and Cmax were variable and not fixed. These variations depended on the time of the year and the species considered.
Discussion
CropSyst offered the opportunity of considering the environmental influences on Kcb as dependent on two components, fIR and Kcfc (Eq. (4)). Although the three species analyzed in this study are mesic deciduous fruit trees, they differed in vegetative growth rate. Pear was the least vigorous because it was grafted onto a rootstock (quince MA) that confers remarkable growth control to ‘Conference’ due to limited carbon storage in the roots (Lopez et al., 2013) and a degree of incompatibility in
Conclusions
Kcfc was not constant throughout the season for any of the three species analyzed. They differed in their seasonal variation of Kcfc. The variation was low in peach, and high for apple and pear. The lower variation in peach grown in California implied that irrigation scheduling was less prone to errors when based on a constant Kcfc throughout the season. However, in apple and pear, scheduling errors would be more important due to Kcfc fluctuations. The use of multiple Kcfc values allowed CS to
Acknowledgements
The authors would like to thank the insights of Profs Theodore DeJong and Hossein Behboudian to this manuscript. This study was funded by INIA (RTA2009-00026-C02) and the Spanish Ministry of Education and Science (CONSOLIDER CSD2006-00067).
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