Abstract
One estimate of a crop's ability to capture light energy is the leaf area index (LAI), which is defined as the proportion of leaf area per unit of land area. Direct methods of estimation involve determining the LAI in a significant area of cultivation and individually measuring the leaf surface, which is often tedious. The objective of this study was to develop a cheap and simple method for determining LAI based on the percentage of groundcover (PGC) measured in two vegetable crops with notable differences in leaf type and plant architecture using digital images obtained with a commercial camera and applying open-source software. The PGC values obtained from digital image analysis in cauliflower and tomato crops and the measurements of LAI obtained by destructive sampling (measured with a planimeter) allowed us to obtain a relationship between two variables (r2 > 0.88). In all cases, the extinction coefficients were obtained from comparisons of LAI and PGC with values ranging between 0.75 and 0.85 for processing tomato and 0.60 and 0.70 for cauliflower. The method used allows non-destructive estimations of LAI that are comparable with other more expensive indirect methods that require a skilled operator.
The productivity of a crop depends on the ability of plant cover to intercept incident radiation; this is a function of the leaf area available, the architecture of the vegetation cover, and the efficiency of the conversion of energy captured by the plant in the biomass (Gifford et al., 1984). One estimate of a crop's ability to capture light energy is the leaf area index (LAI). The concept of the LAI was first introduced by Watson (1947) and defined as the ratio of leaf area to a given unit of land area.
LAI is the component of crop growth analysis that accounts for the ability of the crop to capture light energy; it is critical for an understanding of the functions of many crop management practices. LAI is important for many areas of agronomy and crop production as a result of its relevance to light interception, crop growth (Pearce et al., 1965), weed control, crop–weed competition, crop water use, and soil erosion. Many methods have been used to measure LAI directly, although they tend to be variations of either leaf sampling or litterfall collection techniques (Chason et al., 1991; Clough et al., 1997).
Direct methods for determining leaf area have so far been restricted to the use of an automatic area-integrating meter. Tracing, shadow graphing, and the use of a planimeter to measure the total leaf area attached to shoots are all time-consuming and tedious approaches; furthermore, in some experiments, there is not enough time to make such measurements (Manivel and Weaver, 1974). All direct methods are similar in that they are difficult, extremely labor-intensive, require many replicates to account for spatial variability in the canopy, and are therefore costly in terms of time and money and also destructive. Many other methods of measuring LAI have consequently been developed that involve indirect and less time-consuming procedures.




We therefore determined the percentage of shaded soil at solar noon or percentage of groundcover (PGC), as an estimate of RI, which is the easiest and most economical way (Fakorede and Mock, 1977; Morgan and Brown, 1983; Williams et al., 1965). It is generally assumed that the shaded area at the soil level corresponds to the fraction of incident radiation that has been intercepted by the crop. This is an approximation that will remain valid as long as the degree of light transmission through the leaves is small in comparison with its absorption.
The precision with which PGC estimates RI will therefore depend on how well the shaded area is defined and on the capacity of the canopy to capture all of the radiation within the shaded area (Lang et al., 1985). On the other hand, authors like Burstall and Harris (1983), Campillo et al. (2008) and Millard et al. (1990) argue that it is easy to estimate coverage and that it is possible to assume a 1:1 relationship between PGC and PAR. Taking advantage of the latest developments in digital technology, it is now possible to measure the evolution of vegetation cover through digital photography and to determine the PGC using image interpretation techniques (Campillo et al., 2008; Rodríguez et al., 2000). This approach could also be used to estimate LAI using Eq. [1]; however, we would need to know the extinction coefficient for each crop and variety (Campbell, 1986). Several authors have discussed how to determine k (Hassika et al., 1997; Ledent, 1977; Smith, 1993; Vose et al., 1995) and the accuracy of methodology to be applied (Nel and Wessman, 1993). It is also important to consider that the extinction coefficient also depends on stand structure and canopy architecture (Smith et al., 1991; Turton, 1985) and that the canopy extinction coefficient is a function of wavelength (Jones, 1992), radiation type, and direction (Berbigier and Bonnefond, 1995). It is also important to maximize spatial integration by using large, linear and/or mobile sensors.
This study aimed to develop a cheap and simple method to estimate LAI based on measurements of PGC in two vegetable crops with notable differences in leaf type and plant architecture; it was based on analyzing digital images obtained with a commercial camera with open-source software.
Materials and Methods
The experiments were carried out during the period 2005 to 2006 at an experimental farm located in the Vegas Bajas del Guadiana region (lat. 38°53' N, long. 6°50' W) of Extremadura (Spain); the soil was a slightly acid sandy-loam. The trial consisted of rotating two horticultural crops: cauliflower and processing tomato. The terrain was prepared in 1.5-m wide beds and was not modified over the rotation period. The cauliflower (Arbon variety) was transplanted in 5 to 7 Oct. in the first year and 12 to 15 Sept. for the second year at a density of 20,000 plants/ha in staggered twin rows. The tomato (Odin variety) was transplanted on 23 Apr. in the first year and 3 May in the second year at a density of 33,333 plants/ha in single rows. Drip irrigation was used with one irrigation line per row at a drip rate of 1 L·h−1 and with a distance of 20 cm between emitters.
The experimental design was a split plot with three complete blocks. In the main plot, two soil management regimes were used: bare soil (T) and plastic covers (mulch) (P) with 120-cm wide, 25-μm thick, black biodegradable matter, Mater-Bi® (Novament, Italy). In the subplot, three irrigation regimes were established for the crop evapotranspiration (ETc): T125 and P125 = 1.25 ETc, T100 and P100 = ETc, and T75 and P75 = 0.75 ETc.
ETc was calculated on a daily basis from the expression ETc = ETo*Kc. In this formula: ETo is the evapotranspiration rate of the reference crop, calculated according to the Penman-Monteith formula modified and adapted to local conditions (Baselga, 1996) using data obtained from a weather station located near the experimental area; Kc is the crop coefficient for cauliflower and processing tomato (Allen et al., 1998), considering only the basal coefficients (Kcb) for the mulched trials; and Kc = Ke + Kcb for bare soil with Ke being the evaporation coefficient.
Digital image processing.
On each elementary plot, a 120 × 150-cm rectangular frame of polyethylene tubing was placed along a crop row to identify a representative area containing six tomato and four cauliflower plants. Photographs of the selected areas (elementary plot) were taken using a commercial camera (Sony Digital Still Camera DSC828 with a resolution of 8 megapixels; Sony, Tokyo) at a height of 160 cm above the soil surface (Fig. 1). The data were measured at solar noon. This time was chosen after images taken at different times of the day and night confirmed that this was the best time of day because it was when the light and shadow angle conditions allowed the best possible discrimination between the crop and the soil for subsequent interpretation. Photographs were taken at 10-d intervals with a total of 12 measurements for each crop from transplantation to harvest.

Diagram of digital photography methodology over the crop.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459

Diagram of digital photography methodology over the crop.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459
Diagram of digital photography methodology over the crop.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459
The free software GIMP 2.2 (http://www.gimp.org/downloads) was used to analyze the digital images and to differentiate between the vegetation and the soil or plastic by means of a color reclassification process. To quantify the percentage of vegetation cover, we used the methodology proposed by Campillo et al. (2008) using the reclassification method as a measure of PGC.
Measuring leaf area index.


Results and Discussion
Figure 2 shows the evolution (days after transplanting) of LAI and PGC under three different water doses in cauliflower (Fig. 2A) and processing tomato (Fig. 2B). In cauliflower, Figure 2A shows that only treatments altered the development of vegetation cover, and no significant different changes in LAI and PGC were observed; however, there were significant differences between the 2 years; in 2005, leaf development was significantly lower than in 2006, with higher values of PGC, maintaining the increase in leaf area until harvest. In processing tomato (Fig. 2B), significant differences were observed between treatments with lower levels of LAI and PGC in the less irrigated treatments. However, the development of this crop was similar over the 2 years of study.

Evolution of leaf area index (LAI) and percentage of groundcover (PGC) for cauliflower (A) and processing tomato (B) for three watwer doses, 125 (1.25 ETc), 100 (1 ETc), and 75 (0.75 ETc) during the 2 years of the rotation (2005 and 2006) in terms of days after transplant. ETc = crop evapotranspiration.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459

Evolution of leaf area index (LAI) and percentage of groundcover (PGC) for cauliflower (A) and processing tomato (B) for three watwer doses, 125 (1.25 ETc), 100 (1 ETc), and 75 (0.75 ETc) during the 2 years of the rotation (2005 and 2006) in terms of days after transplant. ETc = crop evapotranspiration.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459
Evolution of leaf area index (LAI) and percentage of groundcover (PGC) for cauliflower (A) and processing tomato (B) for three watwer doses, 125 (1.25 ETc), 100 (1 ETc), and 75 (0.75 ETc) during the 2 years of the rotation (2005 and 2006) in terms of days after transplant. ETc = crop evapotranspiration.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459
Figure 3 shows the values for PGC obtained from digital images of cauliflower (Fig. 3A) and tomato (Fig. 3B) and the LAI values obtained by destructive sampling. A polynomial relationship (r2 > 0.88) was observed between the two variables in both crops. PGC increased with leaf area development in a curve-linear pattern composed of an initial linear phase followed by a saturating phase, which approached a maximum asymptotic value at full groundcover.

Relationship between leaf area index (LAI) estimated through the destructive sampling of biomass and the percentage of shaded ground measured (PGC) by the reclassification method for cauliflower (A) and tomato (B) crops during the 2 years of the rotation.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459

Relationship between leaf area index (LAI) estimated through the destructive sampling of biomass and the percentage of shaded ground measured (PGC) by the reclassification method for cauliflower (A) and tomato (B) crops during the 2 years of the rotation.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459
Relationship between leaf area index (LAI) estimated through the destructive sampling of biomass and the percentage of shaded ground measured (PGC) by the reclassification method for cauliflower (A) and tomato (B) crops during the 2 years of the rotation.
Citation: HortScience horts 45, 10; 10.21273/HORTSCI.45.10.1459
In cauliflower, significant differences were observed between the curves obtained for each year (r2 = 0.89 and 0.95 for the first and second years, respectively; Fig. 3A). This difference was the result of a significant change in the prevailing weather conditions during the crop cycle that affected the morphology of the leaves. Temperatures in the first year were lower than in the second and frequent frosts caused the curling of leaf margins, resulting in a lower PGC for the same LAI.
The PGC–LAI curve adjustments for the tomato crop were significant (Fig. 3B). The curves coincided for both years, although with differences in the adjustment (0.89 and 0.93 for 2005 and 2006, respectively). In this case, a single curve would have enabled us to estimate the LAI by nondestructive methods using digital images. Although, in principle, the factors that can modify the arrangement of leaves could alter this relationship, this trial included treatments with different water statuses that could have induced changes in plant leaf angle, but this aspect did not affect the goodness of fit. It still remains to be seen how this equation would be influenced by morphological (plant height and leaf type) differences between varieties. The PGC of a crop depends on the leaf area development and on the distribution of the plant leaves on the space (plant architecture). PGC is therefore the dependent variable in the relationship between LAI and PGC. The equations obtained for these two crops are highly significant with a narrow adjustment; they therefore provide a method for estimating LAI based on known PGC values.
From the data obtained when comparing LAI values with those of PGC, and from that obtained by Campillo et al. (2008) relating to PGC as a good estimator of RI, from Eq. [1], we obtained extinction coefficients for growing tomatoes and cauliflower with values ranging between 0.75 and 0.85 and 0.60 and 0.70, respectively. These data are consistent with the value of 0.75 obtained by Heuvelink et al. (2005) for the cultivation of tomato and of 0.55 for growing cauliflower proposed by Olesen and Grevsen (1997). Tei et al. (1996) obtained similar extinction coefficients for other horticultural crops with morphological similarities to cauliflower such as beets and lettuce (0.68 and 0.60, respectively). Campbell (1986) made an overall estimate of extinction coefficients for various crops based on the angle distribution of their leaves; considering average values for crops with leaf angles that were mainly almost horizontal, the values obtained ranged between 0.50 and 0.70.
The data obtained by digital photography PGC allow rapid estimation of leaf area using a camera and free software obtaining LAI values in the simplest way than when measured with a planimeter carried out using destructive measure and individual leaf analysis.
Conclusions
There is a significant exponential correlation between PGC and LAI in cauliflower and tomato with an r2 of greater than 0.89; that offers the possibility of obtaining non-destructive estimates of LAI from PGC values using digital images.
The method used also allows non-destructive estimations of LAI measured from complex types of cover compared with other indirect methods that are more expensive and require skilled operators.
Destructive sampling also has limitations. These include: the handling of equipment by different operators; limitations in sample size; and measurement errors in the planimetry and drying of the samples. These factors may reduce the reliability of these measures.
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