Scheduling Regulated Deﬁcit Irrigation with Leaf Water Potential of Cherry Tomato in Greenhouse and its Effect on Fruit Quality

: The tomato cultivated surface is one of the most important surfaces in the world. This crop needs a sufﬁcient and continuous supply of water during vegetative growth. Therefore, production may be at risk in warm and water-scarce areas. Therefore, the implementation of irrigation alter-natives such as regulated deﬁcit irrigation (RDI) is of great importance to reduce the use of water and improve the production of the quality of tomatoes. The objective of this work was to evaluate the deﬁcit irrigation scheduling using plant water status as a tool in deﬁcit irrigation. Experimental design was a randomized design with four replications per treatment. Two irrigation treatments were applied: Control (125% of crop evapotranspiration (ETc)) and Regulated Deﬁcit Irrigation (RDI). This latter treatment considered different threshold values of midday leaf water depending on crop phenological stage. No differences were observed in yield, with RDI treatment being more efﬁcient in the use of irrigation water than the control. Besides, RDI tomatoes presented, in general, greater weight, size, Total soluble solids (TSS), sugars, antioxidant activity, lycopene, β -Carotene, and redder color with more intense tomatoes ﬂavor. Finally, it might be said that RDI strategy helped to reduce 53% of irrigation water and to improve the nutritional, functional, and sensory quality of tomatoes. The carried and Samples were individually provided to each panelist, coded with a 3-digit number, in a random order. Water and crackers were provided for palate


Introduction
Currently, horticulture is affected by climatic changes such as heatwaves, droughts, hailstorms, heavy rains, etc. Semi-arid and Mediterranean climates are affected by the decrease in the availability of water for irrigation due to the deep intensity of droughts [1]. In addition, in these semi-arid areas, they are generally characterized by increased evapotranspiration, higher soil salinity, and limited water availability, which is why an increase in the efficiency of water use is necessary [2]. Therefore, water is becoming the main limitation for agricultural recreation in many regions worldwide, particularly in arid and semi-arid areas. Irrigated agriculture consumes approximately 70% of the water that is extracted in the world. However, crops represent less Tomatoes are cultivated in open field and as a greenhouse crop. However, for achieving optimum climatic conditions for growth within greenhouses, a lot of inputs required such as energy, water, and fertilizers. The water requirements are not differed significantly with other crops such as cucumber. In semi-arid regions such as the Mediterranean basin, there is a need for deficit irrigation to optimize the use of water and the productivity of these crops.
Therefore, there is a need to optimize the use of irrigation water to maintain or even increase the quality and production of cherry tomato plants, cultivar "Summerbrix" by implementing the most appropriate deficit irrigation strategy.

Plant Material and Experimental Design
Experiment was carried out in spring 2020 (January 30 to June 24) in a greenhouse at Escuela Técnica Superior Agronomic Engineering (E.T.S.I.A.) located at the University of Sevilla (Seville, Spain, 37 • 21 09.71" Lat. N, 5 • 56 19.13" Long. W, 33m a.s.l.). The greenhouse was a multi-tunnel with side and overhead ventilation. Covered with a multilayer sheet of EVA/EBA copolymers (INSASOL PLUS, from Solplast. Lorca, Murcia, Spain). The tomato plants, cultivar Summerbrix (Fito ® ), were grown in clay loam soil characterized by 28% sand; 33% silt and 38% clay; pH 7.36; total nitrogen 0.32%; organic matter 2.08%; electric conductivity 356 µS/cm (1:5pV); phosphorus 221 mg/Kg. Climatic conditions were monitored inside the greenhouse. Two sensors recorded mean, maximum and minimum values of temperature (T, • C) and relative humidity of the air (RH%). These sensors were linked to a data logger (CD-1000 from Campbell Scientific, Logan, UT, USA). The experiment comprised a randomized complete-block design, with two irrigation treatments and four repetitions per treatment. The trial had eight plots, with 30 plants per plot and a density of 2 plants per square meter. Irrigation was done by dripping (4 L·h −1 ), with 2 drippers per square meter, with two daily irrigations. Amount of water was controlled by solenoid valves in each plot. For the irrigation cuts that had the Regulated Deficit Irrigation (RDI) treatment, they were made using the stopcocks placed in each irrigation line.
Irrigation treatments applied were: − Control: 125% of the crop evapotranspiration (ETc). Reference evapotranspiration (ETo) was estimated according to radiation model for greenhouses [13]. This simple model is well adapted to greenhouse structures in southern Spain [13]. The cultivation coefficients (Kc) of the FAO Manual 56, Allen et al. [14] were used. − Regulated Deficit Irrigation (RDI): This treatment was based on crop water status, with leaf water potential. Treatment started from Day of the Year (DOY) 50, when the first inflorescence appeared. Then, RDI treatments were irrigated according to plant water status.
For each phenological state of the crop, different irrigation thresholds: • PHASE I: From transplantation to the appearance of the second inflorescence. For this phase, a threshold of −1 MPa was established according to Fortes et al. [15]. • PHASE II: From the appearance of the second inflorescence until pink tomatoes are observed in the middle of the inflorescences. In this phase, an irrigation threshold of −0.85 MPa was established according to Coyago-Cruz et al. [13]. • PHASE III: From the end of phase III until harvest. For this third and last phase, an irrigation threshold of −1 MPa was established according to Fortes et al. [15]. Leaf water potential was measured using a pressure chamber (PMS Instrument Company, Albany, OR, USA). Fully developed and sunny leaves were measured, on one central plant per plot, at solar midday, weekly. Irrigation amount was applied depending on the distance of the water potential of the leaf of each plot to the said threshold, with a maximum limit of 5 mm day −1 . ETc maximum estimated for the entire crop. If the reduction was less than 10%, an irrigation dose of 25% of control irrigation was applied. If the reduction was Agriculture 2021, 11, 669 4 of 22 between 10 and 30%, a 50% dose of control treatment was provided. Total amount of water applied in control irrigation treatment was 614 mm and 290 mm for RDI.
In order to describe the accumulative effect of the water deficit, the water stress integral (SI) was calculated from the Ψ data [16] during the period of water stress (Equation (1)). Equation (1) used a reference of −0.2 MPa. The expression used was: (Ψ: average midday stem water potential for any interval, n: days number in the interval).
The first harvest took place on 30 April 2020 and was held weekly until 24 June 2020. Commercial mature fruits (about 80-100% red stage) were collected weekly from 8 control plants, central line of each plot.

Morphology and Color
The morphological fruit analyses were carried out using a digital caliper (model 500-197-20 150 mm; Mitutoyo Corp., Aurora, IL, USA) to measure longitudinal and equatorial diameter; a scale (model AG204 scale; Mettler Toledo, Barcelona, Spain), with a precision of 0.1 mg, was used to weight samples. Three CIELab color coordinates L*, a* and b* were measured using a Minolta colorimeter model CR-300 (Minolta, Osaka, Japan). Analyses were run in forty fruits/replications (n = 40), and three lectures were taken in each fruit.

Titratable Acidity and Total Soluble Solids
The content of total soluble solids (TSS) was determined using an Atago digital refractometer (model 101 N-20; Atago, Bellevue, WA, USA) at 20 • C, and results were expressed as • Brix. pH and titratable acidity (TA) were analyzed using an acid-base potentiometer (877 Titrino plus; Metrohm CH9101 ion analysis, Herisau, Switzerland), using 0.1 N NaOH for titration and phenolphthalein as indicator until pH 8.1; results were expressed as g of citric acid L −1 .

Sugars and Organic Acids
Profiles were identified and quantified according to Carbonell-Barrachina et al. [17], with slight modifications. Five milliliters of tomato juice (from 10 tomatoes) were centrifuged for 10 min at 15,000 rpm. Then, 1 mL of the supernatant was filtered through a 0.45 µm Millipore filter. The extracts were injected into a Hewlett-Packard 1100 series high performance HPLC chromatograph (Wilmington, DE, USA). The elution buffer consisted of 0.1% phosphoric acid at a flow rate of 0.5 mL min −1 . Organic acids were isolated using a Supelco column (30 cm × 7.8 mm, SupelcogelTM C-610H column) and Supelguard (5 cm × 4.6 mm (Supelco, Inc., Bellefonte, PA, USA) and absorbance was measured at 210 nm using a diode array detector. For sugars, these same HPLC conditions were used, but detection was performed using a refractive index detector (RID). Calibration curves were prepared using standards of (i) oxalic, citric, tartaric, malic, and ascorbic acids, and (ii) glucose, fructose, sucrose, and maltose, obtained from Sigma (Poole, Dorset, UK), and showed good linearity (R 2 ≥ 0.999). The analyses were conducted in for replicates (n = 4) and results were expressed as g kg −1 .
For the determination of the TPC, 100 µL of supernatant was taken and mixed with 200 µL of Folin-Ciocâlteu reagent and 2 mL of ultrapure water. Mixtures were stored for 3 min at 22 • C. Then, 1 mL of 20% Na 2 CO 3 was added, and samples were left to stand for 1 h at room temperature. After the time had elapsed, the determination was made using the spectrophotometer. Results were calculated based on a gallic acid calibration curve and expressed as GAE (gallic acid equivalents), g GAE kg −1 .

The Lycopene and β-Carotene
Contents were determined using the method described by NAGATA, M., & YAMASHITA, I. [19] using a Helios gamma, UVG1002E UV-vis spectrophotometer. Measurements were carried out at 663 nm, 645 nm, 505 nm, and at 453 nm. Results were calculated based on lycopene and β-carotene calibration curves and expressed as mg 100 g −1 .

The Volatile Compounds
Volatile compounds were isolated, identified, and semi-quantified in cherry tomatoes using HS-SPME (headspace solid-phase micro-extraction). Briefly, 15 mL of tomato juice (obtained from 10 tomatoes) were placed in 50 mL SPME-vials together with 1.5 g of NaCl and 10 µL of benzyl acetate (internal standard of 1000 mg L −1 ). Samples were equilibrated for 15 min at 40 • C. Then, a DVB/CAR/PDMS fiber of 1 cm long (Supelco, Bellefonte, PA, USA) was then introduced into the sample headspace at 40 • C for 40 min, with constant stirring (600 rpm) on a magnetic stirrer (IKA C-MAG HS 4, IKA-Werke GmbH & Co. KG, Staufen, Germany). Desorption of volatile compounds from the fiber coating was done at the chromatograph injection port for 3 min. A gas chromatograph (GC-MS), Shimadzu GC-17A (Shimadzu Corporation, Kyoto, Japan), coupled with a Shimadzu mass spectrometer detector (GC-MS QP-5050A) was used for the volatile analysis. The separation was carried out on a fused silica capillary column SLB-5ms (30 m (length) × 0.25 mm (inner diameter) × 0.25 µm (film thickness)) made of 5% diphenyl and 95% dimethylsiloxane (Supelco Analytical). Helium was used as gas at a flow rate of 1.0 mL min −1 . The splitless mode was selected, and the oven program was (i) 80 • C; (ii) rate of 3.0 • C min −1 until 170 • C; (iii) rate of 25 • C min −1 until 300 • C and held for 5.8 min. The injector and detector temperatures were 250 and 300 • C, respectively. Identification of most volatile compounds was performed using 3 different analytical methods: (i) retention indexes, (ii) retention times of standards, and (iii) comparison of mass spectra using both standards Wiley's Spectral Library Collection). Analyses were conducted in four replicates and results were expressed as mg L −1 .

Sensory Analysis (Trained Panel)
The descriptive sensory analysis was conducted using a highly trained panel, consisting of 12 panelists (6 women and 6 men; aged between 25 and 55 years), belonging to the research group Food Quality and Safety of the Miguel Hernández University of Elche. The panel was selected and trained according to the ISO standard 8586-1 [20]. The final profile of the cherry tomatoes consisted of the following sensory attributes (i) appearance: size, form, color, brightness; (ii) flavor: sweet, sour, tomato ID, fruity, green, aftertaste and (iii) texture: hardness, juiciness, amount of pulp, and amount of skin. The intensity of each attribute was measured using a structured scale ranging from 0 (low or no intensity) to 10 (extremely high intensity), with 0.5 increments 0.5. The sensory analysis was carried out in a normalized sensory room with 14 independent test booths and with controlled temperature and lighting. Samples were individually provided to each panelist, coded with a 3-digit number, in a random order. Water and crackers were provided for palate cleansing.

Statistical Analysis
Data is presented as mean ± standard error and was initially subjected to analysis of variance (ANOVA), and then to Tukey's multiple range test to check the mean differences. Statistically significant differences were established at p < 0.05. Pearson's correlation coefficients (R) were calculated to determine the relationships among all the analyzed parameters (stress integral (SI), color (coordinates L*, a* and b*), TSS, pH, titratable acidity, maturity index, organic acid, sugars, antioxidant activity, TPC, lycopene and β-carotene) and time effect. Subsequently, a dendrogram analysis (using the Euclidean distance by Ward method) and a principal component analysis (PCA) were conducted to group all the above-mentioned parameters with the irrigation treatments (control and RDI) for each of the harvesting time. The software used to perform all statistical analyses was XLSTAT Premium 2016.

Agronomic Parameters
Tomatoes conditions and fruits were monitored for 6 weeks. Climatic conditions, temperature, ETo and VPD were the usual ones in the area in spring, suitable for tomato cultivation ( Figure 1). Temperature increased slightly around DOY 140 until values greater than 40 • C but, most of the experiment maximum were between 30-35 • C. Minimum temperatures were greater than 10 • C at the beginning and slightly increase during the experiment until 20 • C. ETo and VPD presented a similar pattern to temperature. Minimum values were measured at the beginning of the experiment, and progressive increase occurred from DOY 120. Table 1 presents data of applied water and water status from the first week of harvest. The amount of applied water in RDI treatment at the first week was approximately half of the control. Applied water in the control was increased according to ETo along the period of harvest until 614 mm. The increase of applied water in RDI was slower than control with periods of no irrigation. At the end of the harvest (6th week) RDI was 47.2% of the applied water compared to the control. However, crop water status did not show significant differences in water potential measurements or stress integral. The only significantly different parameter was in the last week of crop monitorization. In the same way, the weekly harvest in grams per each plant was similar in both irrigation treatments because although there are some oscillations in the values, no statistically significant differences were observed. Maximum yield was measured at Week 4 in both treatments. Cumulative yield was also not significantly different between treatments (3014.37 control vs. 2709.25 RDI g plant −1 ) with a slight trend of reduction in RDI around 10%. These results are similar to those shown in previous works [21] but with lower levels of stress, which have resulted in 10.1% less but not significant cumulative production in the 6 weeks of experiment (3014.37 control vs. 2709.25 RDI g plant −1 ). Water stress level in RDI treatment was more positive than −0.91 MPa of minimum midday water potential, which was likely an adequate threshold during harvest. Pulupol et al. [22] reported a great decrease of yield with water stress level more negative than −1 MPa over the whole season.  Table 1 presents data of applied water and water status from the first week of harvest. The amount of applied water in RDI treatment at the first week was approximately half of the control. Applied water in the control was increased according to ETo along the period of harvest until 614 mm. The increase of applied water in RDI was slower than control with periods of no irrigation. At the end of the harvest (6th week) RDI was 47.2% of the applied water compared to the control. However, crop water status did not show significant differences in water potential measurements or stress integral. The only significantly different parameter was in the last week of crop monitorization. In the same way, the weekly harvest in grams per each plant was similar in both irrigation treatments because although there are some oscillations in the values, no statistically significant differences were observed. Maximum yield was measured at Week 4 in both treatments. Cumulative yield was also not significantly different between treatments (3014.37 control vs. 2709.25 RDI g plant −1 ) with a slight trend of reduction in RDI around 10%. These results are similar to those shown in previous works [21] but with lower levels of stress, which have resulted in 10.1% less but not significant cumulative production in the 6 weeks of experiment (3014.37 control vs. 2709.25 RDI g plant −1 ). Water stress level in RDI treatment was more positive than −0.91 MPa of minimum midday water potential, which was likely an adequate threshold during harvest. Pulupol et al. [22] reported a great decrease of yield with water stress level more negative than −1 MPa over the whole season.

Deficit Irrigation Effect on the Morphological and Physico-Chemical Characteristics of Tomato
The primary factors that have an impact in the quality of tomatoes are the morphology, color, total soluble solids (TSS) and titratable acidity (TA) [23]. On the other hand, the functional quality is mainly given by the lycopene, carotenoids, polyphenols, and antioxidant activity, among others. While the sensory quality it is predominantly given by the color, sugars, organic acids, and the volatile compounds [24]. All these parameters are influenced by the cultivar, development stage, agronomic and environmental conditions [25]. Even though cumulated yield was not different, the individual tomatoes weight was significantly higher in RDI treatments for 1st and 2nd week of deficit irrigation and became similar to the control in the following weeks ( Table 2). The same phenomenon was also observed in size for the second and third week, while similar values between treatments were registered for the other weeks. Authors working with DI in tomatoes concluded that fresh weight of larger fruits tended to be more negatively affected by the water deficit compared to smaller fruits [26,27]. Apparently, due to the lower osmotic and water potential of smaller fruits could compete more effectively for water in response to a reduced water supply. Other authors reported that weight was most likely to be influenced by grafted technique than water supply [28]. As observed, the cultivar "Summerbrix" was characterized by a high variability of weight from an initial mean value of 18.3 g (week 1) down to 8.3 g in the last week 6. This tendency was also reported by other authors in the same cultivar but also for others such as "Lazarino" in which weight variability depending on the harvest position of the cluster part was detected [29]. For instance, tomatoes with higher weights were found in the proximal part of the cluster, and a decrease was reported when the tomatoes were harvested from the medium and distal part of the cluster. The position factor also could influence the size and weight although in the present study all fruits, both from control and RDI treatments, were harvested from the whole spotted plants. The color of tomatoes is mainly linked to the lycopene content and is by far the most important quality parameter as is the first characteristic to be evaluated by consumers. This is because color is the single most important product-intrinsic sensory indicator when it comes to setting people's expectations regarding the likely taste and flavor of tomatoes [30]. In the present study, in general, higher red color was found in tomatoes growth under water stress conditions, as shown by higher values of the color coordinates a* and Chroma (C). A higher increase in red color notes was also reported in the scientific literature, in which the authors found a significantly increase in red color of tomatoes with the increase in water deficit of tomatoes (Lycopersicon sculentum Mill. cultivar Ryna ® ) [31]. Besides tomatoes, other crops such as almond increased their red skin color due to the increment in polyphenols content (responsible for color) as a consequence of water deficit conditions [4]. These changes in the red color can be linked to an advance of the ripening process of the tomatoes, reduction of the turgor pressure, a burst in ethylene production and synthesis of lycopene; this hypothesis will be checked along in the next sections.
Overall, it is important to highlight that RDI increased the red color as well as size and weight of the tomatoes, which means a greater marketable success because the most important aspects in consumers choice were reported to be color, together with juice and size [31].

Deficit Irrigation Effect on Titratable Acidity, Total Soluble Solids, Sugars, and Organic Acid
RDI fruits were characterized by higher TSS values mainly due to a greater accumulation of both fructose and glucose and lower content of citric acid ( Table 3). As expected, a significant positive correlation was observed among TSS and contents of fructose (R 2 = 0.89, p < 0.001), and glucose (R 2 = 0.78, p < 0.001) (Figure 2). It is important to highlight that sugars are the most abundant solute, representing approximately 50% of their dry matter content. Moreover, cultivated tomatoes (Lycopersicon esculentum) contains mainly glucose and fructose, and only traces of sucrose; while Lycopersicon chmielewskii, the wild tomato species, is more abundant in sucrose [7,9,32]. This statement was affirmed by the present study in which the main sugars were glucose with values of 30 and 32 g kg −1 for control and RDI, respectively; fructose with values of 35 and 36 g kg −1 ; while sucrose was only found in traces for both treatments. Regarding the titratable acidity, this was not significantly affected by the RDI, even though differences were found for the organic acids. According to the literature, organic acids accounts for about 13% of fruit dry weight and citric, tartaric, malic were the main organic acids [9,32]. This was confirmed by the present study in which citric (9.1 g kg −1 ), tartaric (2.0 g kg −1 ), ascorbic (0.9 g kg −1 ) and only traces of oxalic acids were found. The only organic acid affected by the water stress was citric acid which decreased 0.4 g kg −1 with RDI. Finally, ascorbic acid or vitamin C ranged between 0.29 in control samples and 0.35 g kg −1 in RDI in the 1st week of harvest, 0.82-1.02 g kg −1 in 2nd week, 0.96-1.03 g kg −1 in 3rd week, 1.22-1.17 g kg −1 in 4th week, 0.98-0.93 g kg −1 in 5th week, and 0.97-1.04 g kg −1 in the 6th week. It can be observed a small increase in Vitamin C in almost all weeks, although without statistical significance. These values were higher than those reported in cultivar Ryna ® (~0.24 g kg −1 ) and are considered among the tomato cultivar with the highest content, as the Vitamin C level of tomatoes was reported to range between 0.08 and 1.2 g kg −1 [31,33]. Regarding deficit irrigation, authors reported an increase in this compound with the reduction in the volume of irrigation water in cultivar Ryna ® (0.17, 0.23, and 0.29 g kg −1 in 1.0, 0.8 and 0.6 ETc, which meant 460, 390, and 320 mm of water through the growth period). Using a greater volume of irrigation water than in the present study, the authors reported an increase in the Vitamin C content, which was not clearly observed in this study; this might suggest that Vitamin C level can be affected by water stress in a different way depending on the cultivar.  The increase in sugars in stress conditions were related to the restricted water uptake into the fruit, lower content of water in the fruit and thus, a greater solute concentration [31]. Authors also reported a simultaneous increase in fruit fresh weight and TSS under water deficit conditions, suggesting additional active sugar accumulation under limited water supply [9]. On the other hand, fruit acidity accumulation with water stress has been mainly attributed to a simple concentration effect through the literature [9]. Additionally, the osmotic adjustments which involves active synthesis of sugars and organic acids under water stress, was another mechanism likely to affect fruit acidity. Other authors found that citrate content increased as tomato fruit approached maturity under both irrigated and mild drought conditions (50% of crop ETc). The trends describing the effect of the RDI on the organic acids and sugars profile seem to agree with the hypothesis established before, reinforcing the idea of an advanced ripening process for RDI tomatoes cultivar "Summerbrix". The increase in sugars in stress conditions were related to the restricted water uptake into the fruit, lower content of water in the fruit and thus, a greater solute concentration [31]. Authors also reported a simultaneous increase in fruit fresh weight and TSS under water deficit conditions, suggesting additional active sugar accumulation under limited water supply [9]. On the other hand, fruit acidity accumulation with water stress has been mainly attributed to a simple concentration effect through the literature [9]. Additionally, the osmotic adjustments which involves active synthesis of sugars and organic acids under water stress, was another mechanism likely to affect fruit acidity. Other authors found that citrate content increased as tomato fruit approached maturity under both irrigated and mild drought conditions (50% of crop ETc). The trends describing the effect of the RDI on the organic acids and sugars profile seem to agree with the hypothesis established before, reinforcing the idea of an advanced ripening process for RDI tomatoes cultivar "Summerbrix". Table 3. Total soluble solids (TSS, • Brix), pH, titratable acidity (TA, g L −1 ), maturity index (MI), and content (g kg −1 ) of organic acids and sugars in the cherry tomatoes as affected by irrigation treatment and time. Overall, the metabolism of sugars and acids largely determines the sugar: acid ratio and are responsible for the simultaneous sweet and sour taste of tomatoes. A balance between these compounds produces the best flavor; because all the following combinations (i) low sugar-high acid; (ii) high sugar-low acid; and both (iii) low sugar-low acid concentrations) generates bitter-taste, bland-taste, and tasteless fruits, respectively.
Finally, Vitamin C in plant it is necessary to balance the oxidative stress while in humans is thought to lower the risk of cardiovascular diseases and certain cancers. According to European Commission (EC) the nutrition claim "high in vitamin C" can be only used if the product contains 0.24 g kg −1 Vitamin C [34,35]. In this case, it can be said that the tomatoes of cultivar "Summerbrix" can be sold as high in Vitamin C, because presented a higher content of this antioxidant than the threshold established by the EC. Vitamin C is an important antioxidant helping in detoxifying reactive oxygen species due to its ability to donate an electron in many enzymatic and non-enzymatic reactions [31]. Finally, this compound content was maintained in the present study except for the 1st week in which was increased by the RDI treatment, as well as reported by other authors [31]. However, some components involved in the antioxidants generation it might be contradictory [34]; for instance, water deficit during cropping may increase the Vitamin C and perhaps reduce the lycopene. This happens, because direct sunlight may enhance the accumulation of vitamin C and polyphenols, whereas crop foliage may favor lycopene development. This compound was reported to be cultivar and season dependent.

Deficit Irrigation Effect on Antioxidant Activity (AA), Total Phenolic Content (TPC), Lycopene and β-Carotene
For the determination of AA, three tests were used: ABTS •+ , DPPH • , and FRAP, because each one has different mechanisms of action; these radicals can be neutralized by direct reduction (electronic transfer) or radical extinction (transfer of hydrogen atoms) [36]. The results showed that RDI had only minimal effects on the AA values, although some positive effects were observed for DPPH • (week 4) with 1.2 and 2.1 mmol Trolox kg −1 for control and RDI treatments, and for FRAP method (week 1) with 1.1 and 1.3 mmol Trolox kg −1 for control and RDI treatments (Table 4). Authors also reported that the methanol extracts of tomato cultivated under DI conditions inhibited DPPH • by 35-75% [31]. They reported that water stress during flowering-cum-fruiting stage presented the strongest DPPH • inhibitory activity. Which help to explain that a strategy of RDI in which the stress is applied in a certain period of the growing cycle help to increase the AA. This was barely confirmed in the present work (only in 2 weeks), although the difference was lower than in the reported study. This leads to the conclusion that "Summerbrix" variety might need higher intensity of water stress to produce a greater content of compounds with antioxidant activity.  In a similar way, the RDI treatment led to an increase of the lycopene (weeks 1, 5 and 6) and β-carotene (week 6). The lycopene levels for these significant weeks were 0.51-0.72, 0.34-0.44, and 0.34-0.55 mg 100 g −1 for control compared to RDI treatment, respectively; while the β-Carotene for the last week ranged between 0.10 and 0.20 mg 100 g −1 for the control and RDI, respectively. In general, the lycopene mean value were 0.38 mg 100 g −1 for control and 0.48 mg 100 g −1 for RDI; while for β-carotene were 0.17 and 0.21 mg 100 g −1 in "Summerbrix" cultivar. Results lower than those reported by Kumar et al. [31] in Ryna ® cultivar, which were reported to increase within the deficit irrigation levels (1.19, 11.1, and 13.8 mg 100 g −1 lycopene content; 0.82, 2.67, and 3.44 mg 100 g −1 β-Carotene). On the other hand, a study by Marti et al. [37] reported, in four tomatoes cultivars, that controlled deficit irrigation did not affect the accumulation of carotenoids and concluded that a higher water stress should be applied to produce an accumulation of these compounds, including lycopene and β-carotene.
Carotenoids, which include both lycopene and β-Carotene are reported to be the most effective naturally existing radical sequesters for oxygen radicals [31]. They are pigments that are mainly synthetized during fruit ripening and their bioavailability is dependent on the irrigation, for instance they decreased with the increase in irrigation water. Lycopene is the responsible for 90% of the tomato color and highly dependent on the cultivar, season and agronomic practices [33]. This compound, as mentioned before is of high importance as establish the color of tomato, the most important driver of liking for consumers. Additionally, its highly biological activity has generated attention due to the lycopene rich diets relationship with lower risk of certain cancers, heart disease, and age-related diseases [33]. Because this noncyclic carotenoid found in tomatoes, was reported to be the most effective free radical scavenger of all carotenoids; thus, can protect DNA, lipids, and other macromolecules with its antioxidant activity [38]. Is important to highlight that European Food Safety Authority [39], adopted the decision on 30 of April 2009, authorizing the "Synthetic lycopene . . . may be placed on the market in the Community as a Novel Food ingredient to be used in the foods listed in Annex II" under Regulation (EC) No 258/97 of the European Parliament and of the Council.
A clear relationship was found for the contents of lycopene and β-carotene (R 2 = 0.64, p < 0.001), demonstrating a similar accumulation pattern of these two carotenoids in tomatoes (Figure 3).
authorizing the "Synthetic lycopene… may be placed on the market in the Community as a Novel Food ingredient to be used in the foods listed in Annex II" under Regulation (EC) No 258/97 of the European Parliament and of the Council.
A clear relationship was found for the contents of lycopene and β-carotene (R 2 = 0.64, p < 0.001), demonstrating a similar accumulation pattern of these two carotenoids in tomatoes ( Figure 3). Finally, the TPC presented a mean value of 0.66 g GAE kg −1 without significant differences between treatments. The amount was higher than that reported by Kumar et al. [31]. in Ryna ® cultivar in the most stressed treatment (0.55 g GAE kg −1 ); and same authors showed an increase of TPC under deficit irrigation conditions (0.40-0.55 g GAE kg −1 ) which was not observed in the present work.

Sensory Analysis (Trained Panel)
In general, the sensory profiles of RDI tomatoes at weeks 1-3, were characterized by higher intensity of key attributes, such as sweetness, sourness, fruit and green notes, aftertaste, and hardness ( Figure 4). On the other hand, this trend was reversed at week 6, where control fruits presented a more intense tomato flavor (higher intensity of sweetness, sourness, and tomato-ID) than RDI fruits, probably at this week the stress suffered by RDI plants was extremely strong and plants were highly affected. In this way, the proposed deficit irrigation treatment led to tastier cherry tomatoes from 1 to 5 weeks of water deficit. Pérez-Marín et al. [12] also reported that the most characteristic descriptors were sweetness, fruity, hardness, in a study carried out for samples of cherry tomatoes (pear and round) of different varieties.

Sensory Analysis (Trained Panel)
In general, the sensory profiles of RDI tomatoes at weeks 1-3, were characterized by higher intensity of key attributes, such as sweetness, sourness, fruit and green notes, aftertaste, and hardness ( Figure 4). On the other hand, this trend was reversed at week 6, where control fruits presented a more intense tomato flavor (higher intensity of sweetness, sourness, and tomato-ID) than RDI fruits, probably at this week the stress suffered by RDI plants was extremely strong and plants were highly affected. In this way, the proposed deficit irrigation treatment led to tastier cherry tomatoes from 1 to 5 weeks of water deficit. Pérez-Marín et al. [12] also reported that the most characteristic descriptors were sweetness, fruity, hardness, in a study carried out for samples of cherry tomatoes (pear and round) of different varieties.    Figure 4. Descriptive sensory analysis in cherry tomato samples * p < 0.05, ** p < 0.01 and *** p < 0.001. Figure 5a shows that the component (F1) explained 28.64% of the total variance of the data and the second (F2) explained 24.85% of the total variance. While in the dendrogram presented in Figure 5b it can be observed how the samples are grouped into 3 main groups.  . Descriptive sensory analysis in cherry tomato samples * p < 0.05, ** p < 0.01 and *** p < 0.001. Figure 5a shows that the component (F1) explained 28.64% of the total variance of the data and the second (F2) explained 24.85% of the total variance. While in the dendrogram presented in Figure 5b it can be observed how the samples are grouped into 3 main groups. The PCA analysis is by far the most used technique for dimensionality reductions, meant to reduce the number of variables while preserving as much information as possible, and provide an accurate and simple view of total results. In this case, PCA basically showed that the "harvesting time" was more relevant than the factor "irrigation treatment". In this way, all samples (both control and RDI treated) from weeks 1 and 2 were grouped together and characterized by high contents of lycopene, β-carotene, high size, intense hardness, juiciness, tomato-ID, and long aftertaste. On the other hand, all samples collected at weeks 4-6, independently of the RDI treatment, were characterized by high values of TPC, antioxidant activity (ABTS •+ , DPPH • , and FRAP), high contents of both sugars (also TSS) and organic acids (also titratable acidity) leading to red, sweet, and sour fruits with a high content of pulp. However, it can be seen that RDI tomatoes were mainly surrounded by tomato ID, hardness, juiciness, sweetness and redder color.

3.7.
Pearson's Correlations among Plant Stress, Quality, and Composition Parameters Figure 6 seems to establish relationships among the stress integral (SI) and TPC (a) as well as between TPC and the FRAP values (b). In this way, the higher the stress integral (more intense the water stress), the higher the accumulation of phenolic compounds (higher values of TPC), leading to higher antioxidant activity as showed by the FRAP values. This general trend is supported by the following Pearson's correlation coefficients and significance (Table 6)

Conclusions
Irrigation management styles proposed were adequate to maintain a water stress level with no limitations for yield. Leaf water potential more positive than −0.9MPa and

Conclusions
Irrigation management styles proposed were adequate to maintain a water stress level with no limitations for yield. Leaf water potential more positive than −0.9MPa and stress integral of 30 MPa day −1 seem like adequate stress threshold values. There was a 10% decrease in cumulative production, which was not statistically significant. This allowed a saving of 53% of water. It also allowed improvements in the nutritional, functional, and sensory quality of tomatoes. RDI tomatoes presented, in general, greater weight, size, TSS, sugars, antioxidant activity, lycopene, β-Carotene, and redder color with more intense tomatoes flavor.