Introduction

The increasing instabilities of precipitation regimes coupled with the steady increase of air temperature due to global warming impose crop adaptation strategies to climate change. Irrigation is a common adaptation agricultural technique, even for crops traditionally grown under rainfed conditions, hence, studies to quantify water requirements and to understand crop water use must be updated. One such crop is Olea europaea L. var. sativa Hoff. et Lk., whose plant water status and water consumption have been an object of several studies in the last decades (i.a., Aganchich et al. 2007; Agüero Alcaras et al. 2016; Fernández et al. 2020), since this fruit tree crop is notably efficient to face drought, being very well adapted to arid and semiarid climates (Tognetti et al. 2009). Olive cultivation is becoming more intensive, with the widespread adoption and the strong increase in the Mediterranean region of the super high density (SHD) cropping systems (Godini et al. 2011; Fraga et al. 2021). These mechanized olive groves are characterised by a density of over 1200 trees per hectare cultivated in regular rows (hedgerow orchards). Irrigated SHD orchards show a positive environmental impact compared to rainfed traditional olive orchards, both in terms of carbon and water footprint (Pellegrini et al. 2016; Camposeo et al. 2022). Nevertheless, the eco-physiological responses of olive cultivars to water supply are still poorly or not investigated for complete crop seasons (Chebbi et al. 2018), mainly when, in adult orchards, rejuvenation pruning is carried out to restore both trees bearing function and sizes suitable for continuous harvesting machines (Vivaldi et al. 2015; Albarracín et al. 2018).

The Mediterranean region is known to be strongly negatively affected by increases in air temperature and changes in seasonal rainfall distribution (Giorgi 2006; Espadafor et al. 2011; Rana et al. 2016; Katerji et al. 2017). In this important agricultural area, among the different proposed strategies to reduce freshwater use for SHD olive orchards, several studies demonstrated that the regulated deficit irrigation (RDI) can be a suitable strategy for reducing the excessive vigour of the species, through limiting the soil water availability (Iniesta et al. 2009; Fernández et al. 2013; Rosecrance et al. 2015). Iniesta et al. (2009) and Fernández et al. (2020) indicated that RDI allows to save 60% of irrigation water without significantly compromising the oil production and quality. Aganchich et al. (2007) and Agüero Alcaras et al. (2016) showed that typical Mediterranean olive cultivars under RDI optimized water use by decreasing stomatal conductance, stem water potential and relative water content compared to full irrigation treatment. It has also been extensively demonstrated that in SHD olive orchards the controlled water stress has little effect on oil yield and a positive effect on oil quality (i.a., Tognetti et al. 2006; García et al. 2017). Furthermore, since climate change impacts on crop yield and has also strong effects on soil water budget, water use by the plants and water productivity, it is necessary to update and investigate the adaptability of crops to changing, and often contrasting, growth season weathers (Kang et al. 2009).

The crop water use efficiency (WUE) is defined as the ratio between actual crop evapotranspiration (ET) and the amount of water supplied by irrigation and precipitation (Fernández et al. 2020; Eq. (1) in reported Table 1); from an agronomical perspective the concept of water productivity (WP) is preferable, defined as the ratio between yield and actual transpiration (Bouman 2007; Fernández et al. 2020). The lack of knowledge on the values of water losses by transpiration for entire growing seasons brings to incorrect or inaccurate values of WUE and WP (Katerji et al. 2008; Fernández et al. 2020). To correctly evaluate the WUE or, in general, the WR of a crop, it is necessary to determine with high accuracy the crop water losses (Katerji et al. 2008), particularly complex for orchards (Rana and Katerji 2000; Scanlon and Kustas 2012; Cammalleri et al. 2013). The micrometeorological methods generally resulted in the best way to measure ET; starting from ET measured by the eddy covariance technique, the transpiration can be determined by partitioning methods (Rana et al. 2018). These approaches can estimate transpiration with a suitable accuracy, but measurements must be carried out above large surfaces (Lee et al. 2004), resulting in difficult application in studies where comparison of treatments are performed. For these latter, methods to measure transpiration at the plant level are preferred, and the most widespread methods to determine it at a single plant scale are based on the measurement of mass flux density (Rana and Katerji 2000). The thermal dissipation method (TDM) (Granier 1985, 1987) has been frequently used to determine the actual transpiration of olive orchards in different situations (Masmoudi et al. 2011; Cammalleri et al. 2013; Agüero Alcaras et al. 2016; Conceição et al. 2017; Kokkotos et al. 2021). However, due to issues related to the TDM technique, the total water losses from transpiration in olive orchards on yearly and/or growth seasonal time scale are almost always unknown or affected by large uncertainties. As a result, olive orchard WUE and WP values are often limited to incomplete or reduced/restricted growth seasons (Burgess et al. 2001; Chebbi et al. 2018).

Table 1 Summary of vapour pressure deficit (VPD), air temperature (T), global radiation (Rg) and rain in the three growth seasons

The general objective of this mid–term study was to analyse the eco-physiological behaviour of olive trees (cv. Arbosana) grown in an adult SHD orchard subjected to standard irrigation versus regulated deficit irrigation, to evaluate the impact of water deficit on seasonal—yearly WUE and WP, at both plant and canopy scale. Actual transpiration was continuously monitored using TDM, specifically calibrated and corrected, in three complete growing seasons (2019–2020; 2020–2021; 2021–2022, 1096 days in total) including a rejuvenation pruning event, in a Mediterranean area (southern Italy); the experimental period was characterized by highly contrasted weathers, including very dry and very wet seasons. To generalize the agronomic results, relationships between transpiration and water use variables were investigated.

Materials and methods

The site and the orchard

Measurements were continuously carried out from 1 March 2019 to 28 February 2022 in an olive orchard located at the University of Bari experimental farm in Valenzano, southern Italy (41° 01ʹ N; 16° 45ʹ E; 110 m a.s.l.). The soil is sandy clay (sand, 630 g kg−1; silt, 160 g kg−1; clay, 210 g kg−1) classified as a Typic Haploxeralf (USDA) or Chromi-Cutanic Luvisol (FAO). These textural characteristics do not change with the vertical dimension. At a depth of 0.5 m, a parent rock reduces the capacity of the root systems to expand beyond this layer. The site is characterised by a typical Mediterranean climate with a long-term average (1988–2018) annual rainfall of 560 mm, two third concentrated from autumn to winter, and a long-term average annual temperature of 15.6 °C.

The olive grove was planted in early summer 2006; the self-rooted trees (cv. Arbosana) were trained according to the central leader system and spaced 4.0 m × 1.5 m (1667 trees ha−1) with a North–South rows orientation, according to the SHD cropping system. Routine cultural nutrition, soil management, pests and disease control practices were set up as described by Camposeo and Godini (2010). During the experimental period, the olive trees were heavily pruned in March 2020, reducing the canopy volume by 65% (from 5.3 m3 to 2.2 m3 per tree). This rejuvenation pruning was scheduled at the end of the 14th year after planting. However, the recovery of canopy volume was fairly quick: in fact, in the second year after hard pruning (2022) the canopy regrowth was + 90% with respect to the pruned trees values (from 2.2 to 4.2 m3 tree−1, see details in Supplementary Material I).

Two plots of 180 m2 surface, 60 m apart, with 35 trees in each one, were subjected to two irrigation regimes: the first one followed the standard use of the famers (SI), with a reduction of the full irrigation for improving the oil quality, versus RDI applied throughout the pit hardening phase (Cajias et al. 2016; Hernández et al. 2018; Corell et al. 2022; Ahumada-Orellana et al. 2023) when the tree is least sensitive to water deficit (Goldhamer 1999). During this phenological phase, irrigation was interrupted for about one month per season (19 July–20 August 2019; 15 July–18 August 2020; 14 July–14 August 2021). Irrigation was scheduled according to the ET method, by restoring 86% of actual crop evapotranspiration (ETc) lost in each irrigation interval. ETc was calculated using Eq. (1) recommended by the FAO56 guideline as:

$${\text{ETc}} = K_{{\text{r}}} K_{{\text{c}}} {\text{ET}}_{0} ,$$
(1)

where Kr is the reduction coefficient (0.86; Allen and Pereira 2009), Kc (Kcini = 0.5, Kcmid = 0.6, Kcend = 0.5) is the crop coefficient, ET0 is the reference evapotranspiration, calculated by the Penman–Monteith method (Allen et al. 1998). The plots were irrigated by a dripline equipped with 2.5 L h−1 emitters, 0.6 m apart.

For comparing WUE in different years, the beginning of each olive growth season for the WUE and WP calculations was considered to be March 1st because the end of the dormancy period usually falls in January–February, at least for most olive cultivars in the Mediterranean region (Oteros et. al. 2013; Aguilera et al. 2014; Fernández 2014). The three growth seasons are: first, 1 March 2019 to 29 February 2020; second, 1 March 2020 to 28 February 2021; third, 1 March 2021 to 28 February 2022.

Weather variables and tree transpiration

Air temperature (T, °C) and vapour pressure deficit (VPD, kPa) through air relative humidity, global radiation (Rg, MJ m−2 s−1) and precipitation (P, mm) were collected at a standard agrometeorological station 120 m far from the experimental field. To determine the degree of drought for each year under investigation, the standard precipitation index (SPI, Naresh Kumar et al. 2009) was calculated as:

$${\text{SPI}} = \frac{{x_{i} - x}}{s},$$
(2)

with xi yearly precipitation, x and s long-term average precipitation and standard deviation values, respectively. Value of SPI lower than − 1 and higher than 1 indicates dry and wet conditions, respectively.

To determine the atmospheric demand in water terms, the potential evaporation was calculated following Katerji and Rana (2011); in this case E0 was estimated as:

$$E_{0} = \frac{1}{\lambda }\frac{{\varepsilon r_{{\text{a}}} A + \rho c_{{\text{p}}} {\text{VPD/}}\gamma }}{{\left( {1 + \varepsilon } \right)r_{{\text{a}}} }}.$$
(3)

Mass flux density, Ji (g m−2 s−1), was measured in a set of selected plants, by means of TDM (Granier 1985, 1987), by the difference in temperature (ΔT) between two probes (one heated and one unheated) placed in the conducting xylem of the stem. Commercial 20 mm sap flow probes (SFS2 Type M, UP, Steinfurt, Germany) were installed at 0.30–0.40 m above the ground on the north side of each tree. The probes in each sampled tree were covered by a reflecting radiation screen to protect them from rain. ΔT was continuously monitored by two data loggers (CR10X, Campbell Scientific, Utah, USA) which took measurements every 10 s and recorded the average values every 10 min. Details on the TDM measurement procedure are reported in Rana et al. (2020). Measurements were carried out in three replicate trees per irrigation treatment and averaged. Trees have been selected to be representative of each plot, considering the similar vigour, according to the frequency distribution of trunk diameters and tree size of the whole plot. Time series of daily values of plant transpiration (Ep) were analysed as replications along the growing season. The mass flux density of the selected six trees (three per treatment) was not significantly different (P < 0.01) in the first three months of the experiment, before the differentiation of the irrigation regime (Fig. 1), when the mass flux density was, furthermore, not affected by the wound effects.

Fig. 1
figure 1

Box plot of mean daily values of mass flux density for all monitored plants in the period March–June 2019

The application of the TDM method requires specific local species-specific calibration and may be affected by wounds and inhomogeneities in the sapwood, both radially and azimuthally, due to wood anatomy and soil water availability (e.g., Nadezhdina et al. 2007; Fuchs et al. 2017). Therefore, a specific procedure was followed to obtain accurate transpiration values at the tree scale, as summarized in Appendix 1, other details can be found in Rana et al. (2023) and Ferrara et al. (2023).

Since Ep measurements were referred to the projected canopy area, transpiration by TDM at field scale was calculated as

$$E_{{{\text{TDM}}}} = A_{{\text{p}}} \overline{{E_{{\text{p}}} }} ,$$
(4)

where ETDM is expressed per unit of projected canopy area, i.e., kg m−2 or mm, with \(\overline{{E }_{\mathrm{p}}}\) the mean of the monitored trees and Ap the cover fraction, i.e., the area occupied by the mean vertical projection of each tree (Lu et al. 2003). Ap was determined every 2–5 days with the aid of images from the European Space Agency's Sentinel 2 satellite; with the application released by ESA, SNAP, the Coverage Fraction (FVC) was calculated (Sentinel 2 ToolBox; Level2 Products; Date Issued: 02.05.2016; Issue: V1.1. https://step.esa.int/docs/extra/ATBD_S2ToolBox_L2B_V1.1.pdf). Determinations on a daily time scale were calculated by integrating transpiration at the daytime (i.e., when Rg > 10 W m−2).

Transpirations at the field level in the two irrigation treatments are indicated by ESI and ERDI (mm).

To estimate transpiration at seasonal and annual scales, a gap-filling strategy was developed by following Peters et al. (2010) and Rana et al. (2020). For each replicate tree, when 10-min Ji data were sporadically missing, Ji was calculated by linear interpolation; when more than 50% of daytime 10-min data were missing, the whole day was removed. Gaps in daily data were filled by developing a model for the relationship between Ji daily mean, daily mean VPD and daily cumulated Rg. The resulting functions for the two treatments were multivariate, quadratic in VPD and linear in Rg and were built using the procedure described by Rana et al. (2020).

Physiological variables and soil water content

Due to the hard pruning applied in March 2020, bearing shoot biomass was reduced, therefore, physiological and yield measurements were not carried out during this second season. Much better bearing shoot biomass and leaf surface of the olive orchard were achieved in the following 2021–2022 season.

During two vegetative growing seasons (2019–2020 and 2021–2022), to determine the difference in the water status of the plants, especially during the RDI period, simultaneous measurements of stem water potential (Ψs) and stomatal conductance (gs) were carried out around midday (between 11:00 and 13:00 h solar time), everyone/three weeks. The first plant for starting each cycle of measurements was chosen randomly each time, performing first the measurements on the east side of the plot, alternating SI and RDI treatments. These two variables were monitored from mid-June until mid-September, when the atmospheric demand in the region is elevated (Rana and Katerji 2000; Katerji et al. 2017).

Ψs was determined using a Scholander pressure chamber connected to a cylinder containing nitrogen. For each treatment, measurements were performed on 10 mature and fully expanded leaves (5 facing East and 5 facing West). The leaves were sealed with an aluminium bag for at least 1–2 h to prevent transpiration and allow them to reach equilibrium with water potential in the stem (McCutchan and Shackel 1992). Subsequently, they were cut near the base of the petiole and immediately measured.

Stomatal conductance was measured on the same days and time as Ψs determination. Two healthy, well-light-exposed leaf per tree (on the West and East side) selected at eye hight were used to measure gs for water vapour (molH2O m−2 s−1) using a portable open gas-exchange system fitted with a LED light source (LI-6400XT, LI-COR, Lincoln, NE, USA). During each measurement and on each side of the canopy, light intensity was maintained constant across the two treatments by setting the LED light source at the natural irradiance detected near the leaf. For each treatment, gs measurements were performed on the three plants where transpiration was measured by TDM and on two other trees that were similar in dimension, vigour and health state, chosen in correspondence with the soil moisture probes. The data were subjected to one-way ANOVA using SAS/STAT 9.2 software package (SAS/STAT 2010).

Soil water content in volume (θ, m3m−3) was measured by capacitive probes (5TM, Decagon Devices Inc., USA). For each treatment, three points were monitored: two points along the row (θr) and one between the rows (θir). At each point, two capacitive probes were installed horizontally into the soil profile and transversely to the row, at − 0.12 and − 0.37 m from the soil surface, to intercept the dynamics of θ below the dripping lines. All sensors were connected to data-loggers (Tecno.el srl, Italy) and data were transferred to a web server via GPRS mode. Integrated soil–water content on a daily basis (θi) was determined for the soil profile (0.5 m) by integrating the values measured at each depth, since each probe was supposed to detect the water content in a 0.25 m soil layer (Campi et al. 2019), as:

$$\mathop \int \limits_{0}^{0.5} \theta_{i} = \theta_{{i\left( { - 0.12} \right)}} \cdot0.25 + \theta_{{i\left( { - 0.37} \right)}} \cdot 0.25.$$
(5)

The θi measurements from the three points were pooled to obtain a single average value for each treatment as (Searles et al. 2009; Autovino et al. 2018):

$$\theta = 0.7\overline{{\theta_{{\text{r}}} }} + 0.3\theta_{{i{\text{r}}}} ,$$
(6)

where \(\overline{{\theta }_{\mathrm{r}}}\) is the mean of the two θ measured along the rows.

Soil water availability was described through the relative extractable water (REW, unitless) calculated using the average soil water content across positions around the tree and soil layers as

$${\text{REW}} = \frac{{\theta - \theta_{{{\text{min}}}} }}{{\theta_{{{\text{max}}}} - \theta_{{{\text{min}}}} }},$$
(7)

where θmin is the minimum soil water content observed during the experiment and θmax is the maximum soil water content in the area (e.g., at field capacity).

Water stress and water use efficiency at canopy level

Water stress index (CWSI, unitless) at canopy level can be computed in function of the actual and potential transpirations (e.g., Jackson et al. 1981; Stanghellini and De Lorenzi 1994; Rana et al. 2020) as:

$${\text{CWSI}} = 1 - \frac{{E_{{{\text{TDM}}}} }}{{E_{{{\text{pot}}}} }},$$
(8)

where \({E}_{\mathrm{TDM}}\) is the transpiration measured by TDM as above described and Epot is the potential transpiration calculated by a Penman–Monteith method approach (Appendix 2). CSWI ranges between 0 (no stress, with ETDM = Epot) and 1 (stress, with ETDM = 0).

According to Fernández et al. (2020), SHD olive orchard water use efficiency and productivity at seasonal scale can be calculated as:

$${\text{WUE}} = \frac{{E_{{{\text{TDM}}}} }}{P + I},$$
(9a)
$${\text{WP}} = \frac{{{\text{Yield}}}}{{E_{{{\text{TDM}}}} }},$$
(9b)

where ETDM is total seasonal transpiration in kgH2O m−2 (which is equivalent to mm of water) P and I are total precipitations and water supplied by irrigation in mm (kgH2O m−2), yield is the marketable yield produced (kg m−2). Yield values were determined in the first and third seasons (2019–2020 and in 2021–2022) as a mean of olives production measured on the same five trees used for physiological measurements. Harvesting times were yearly assessed by using ripening indices as reported by Camposeo et al. (2013).

Results and discussion

The weather and the actual transpiration

The seasonal time course of main agrometeorological parameters (T, VPD, Rg and P) during the three growth seasons is showed in Fig. 2, while Table 1 reports the seasonal values. The three seasons were characterized by very different weather, including extreme water scarcity conditions during 2019 and 2021 drought summers and the exceptionally rainy summer in 2020, characterized by few events of high rain intensity. 31 and 23 mm of rain fell in a few minutes on 5 and 7 August 2020, respectively; similarly, more than 100 mm of rain fell in three days between 21 and 23 September 2020. When rainfall was intense, waterlogging conditions were rarely achieved, due to the high hydraulic conductivity of the soil. The yearly mean air temperature was 18.1, 16.4 and 17.0 °C in 2019, 2020 and 2021, respectively, and was always warmer than in the past (15.6 °C). T was well above the mean in June 2019; an intense heat wave crossed the experimental field during summer 2021, between the end of July and the beginning of August when irrigation was withheld in the RDI plot. In summer 2022, mean T reached 34 °C, and peaks of 42 °C were observed during daytime. In these periods, VPD also reached high values, unusual for the region.

Fig. 2
figure 2

Mean air temperature (T), sum rainfall (rain), sum global radiation (Rg) and mean (VPD) at daily scale in the three growth seasons

The SPI was equal to − 1.61, + 0.96 and − 1.45 for years 2019, 2020 and 2021, respectively, indicating that 2020 was extremely wet, while 2019 and 2020 were very dry, according to the cumulated precipitation. The greatly contrasted weather of the three seasons confirmed the strong variability following climate change in this Mediterranean area (Rana et al. 2016; Katerji et al. 2017).

Table 2 reports the water supply of each treatment in the three seasons: the RDI received 25, 22 and 33% less water with respect to SI, during the first, second and third season, respectively.

Table 2 Yield, irrigation, transpiration (ETDM), water productivity (WP) and crop water use efficiency (WUE) of standard (SI) and regulated deficit (RDI) irrigation in the three growth seasons

The actual transpiration trends in the three growth seasons at a daily scale are shown in Fig. 3, for SI and RDI treatments; the potential evaporation E0 is also shown in Fig. 3. In the three seasons the orchard transpiration was mainly driven by the water atmosphere demand; in fact, ETDM values increased from March until June, then slowly decreased until November, after that ETDM remained quite constant and showed very low values until the end of January, when ETDM values showed a tendency to increase again. ETDM ranged between 0 and 2.73 mm for SI and between 0 and 1.95 mm for RDI, the same order as the values reported in other similar studies in the Mediterranean region (Tognetti et al. 2009; Camalleri et al. 2013; Chebbi et al. 2018). During the second growth season, the summer transpiration values were of the same order as the first season despite the pruning. This can be explained by the weather conditions of 2020; in fact, the summer was particularly rainy, inducing a good water availability in the soil for crop transpiration (Fig. 4). Furthermore, during August, the combination of high wind speed and the thermodynamic status of atmosphere during the hottest hours of the day determine a high degree of coupling between vegetate surface and atmosphere (Rana et al. 2023; see also Supplementary Material II): the transpiration is less addressed by the canopy conductance and more by the available energy, which was particularly high under these conditions.

Fig. 3
figure 3

Trends of actual transpiration (ETDM) at daily scale, measured in the two treatments, standard irrigation (SI) and regulated deficit irrigation (RDI), during the three growth seasons, together with irrigation values. The potential Evaporation (E0) is also shown. The RDI period (irrigation withholding period) is indicated by a light pink

Fig. 4
figure 4

The relative extractable water (REW, unitless) daily trend in the three growth seasons in both standard irrigation (SI) and regulated deficit irrigation (RDI) treatments; irrigation and precipitations are also reported. The horizontal dashed red line at REW = 0.4 indicates the threshold for water stress by literature (Bréda et al. 1995; Fernández et al. 1997; Grossiord et al. 2015). The RDI period (irrigation withholding period) is indicated by light grey

Following an ANOVA, in all growing seasons, ETDM daily values for the two treatments were significantly not different (p < 0.01). Moving from SI to RDI, daily ETDM was 0.68 and 0.73 mm, 0.68 and 0.72 mm, and 0.63 and 0.55 mm, in the first, second and third season, respectively, despite the RDI orchard received 124, 68 and 170 mm less irrigation water in the three seasons, respectively (Table 2). However, Fig. 2 clearly shows that olive trees under RDI treatment transpired less than SI during the period when irrigation was withheld in the first and in the third season, while the ETDM values in SI and in RDI were quite similar in the second season due to the rainy summer (see Fig. 2) which effectively annulled the differentiation between the two irrigation regimes. Moreover, the reduction of ETDM values due to the water withholding period appeared about 10–15 days after the stopping of irrigation. This feature supports the results of Agüero Alcaras et al. (2016) and Corell et al. (2022), who found that transpiration in olive trees did not start to decline until much later than the water withholding.

Total seasonal transpirations were quite similar for both irrigation treatments in the three seasons (Table 2). The lowest total transpiration in the 2021–2022 growth season can be attributed to the extremely dry and warm weather conditions during spring and summer 2021 (see Fig. 2); indeed, in hedgerow olive orchards, ETDM values show a diurnal relation with VPD, with a high logarithmic relationship between ETDM and VPD (Zuñiga et al. 2014).

As reported in many other studies (see for example Tognetti et al. 2009; Katerji and Rana 2011), the measured ETDM was strongly related to the weather variables driving crop transpiration (i.e., VPD and Rg; Supplementary Material). ETDM is significantly (p < 0.01) related to VPD by logarithmic functions in any growth season. While the linear relationships between ETDM and Rg are significant (p < 0.01) in any season, indicating that any solar saturation value is advisable in this type of olive orchard.

Water use–soil and canopy scale

The REW trends at a daily scale in the three growth seasons are shown in Fig. 4, together with irrigations and precipitations, for both treatments. Gaps in values are due to the malfunctioning of soil moisture probes. In both treatments, REW increased immediately after water supply or rainfall and, conversely, decreased rapidly due to plant transpiration. In the RDI treatment, plants water recovery after the irrigation interruption period was quite fast, occurring around the same day of watering (Fernández 2014).

According to irrigation scheduling, before and after the irrigation withholding period, water supply results are the same in SI and in RDI. During these periods, SI and RDI trends are almost superimposable. Minor differences are due to the different total water availability in the two plots (0.105 and 0.122 m3 m−3 for SI and RDI, respectively) and to different minimum values of θ in the two soils (0.119 and 0.125 m3 m−3 for SI and RDI, respectively).

Several studies report a threshold of REW around 0.4 for indicating soil water deficit of woody species in arid and semiarid Mediterranean conditions (Bréda et al. 1995; Fernández et al. 1997; Grossiord et al. 2015). In the SI treatment, REW values ranged from 0.2 to 0.8 for most of the irrigation season, indicating soil water conditions far from the field capacity, except for short periods immediately after frequent irrigations and/or heavy precipitations. In the RDI treatment, REW values decreased when the irrigation supply was reduced. The minimum REW values in RDI treatment were 0.00, 0.17 and 0.20 in the first, second and third season, respectively. During the RDI period, REW values fell below 0.4 for 8 and 31 days in the first season, 19 and 26 days in the second season and 4 and 30 days in the third season in the SI and RDI treatments, respectively. In season 2020–2021, REW values lower than 0.4 were observed starting in spring: from 4 April 4 until 26 May, values below 0.4 were recorded for 52 and 53 days in the SI and RDI treatments, respectively. These results, and the effective water demand of the atmosphere (see Fig. 3), suggest that in the second season 2020–2021 the irrigation should have started a month earlier (in April instead of May), and the low ETDM values during these months could be attributed to the decreased water availability in the soil.

ETDM was hardly increasing in spring (see Fig. 3) because the phenological phases in this period (woody buds breaking and shooting) involve intense water uptake by roots. On the contrary, the slight reduction in REW values in the fall did not seem to affect ETDM because similar values were observed in 2020 when REW values were much higher than 0.4; in this case ETDM reduction could be due to the physiological olive tree rest, starting from fruit ripening, inducted by low temperatures (López-Bernal et al. 2020).

Due to the mathematical expression used to calculate CWSI (see Eq. (8)), steep oscillations in CWSI values were observed when ETDM and E0 values were both close to zero, even though these oscillations did not have any physical significance. Therefore, for clarity, the daily CWSI is shown only for the dry months of July and August, during the RDI period in the three growing seasons (Fig. 5).

Fig. 5
figure 5

The crop water stress index (CWSI) trend during July and August in the three growth seasons in both standard irrigation (SI) and regulated deficit irrigation (RDI) treatments; irrigation and precipitations are also graphed. The RDI period (irrigation withholding period) is indicated by light grey

Focusing on the RDI period, during the first season, the mean CWSI value was quite higher for RDI (0.39) than SI (0.20). However, the CWSI values for RDI were generally far from 1. During the second season, the RDI crop was in a water condition closer to that of the SI crop (mean CWSI equal to 0.21 and 0.26 for SI and RDI, respectively). These results contrast with those reported by Egea et al. (2016) and Agam et al. (2013) who found clearly differentiated CWSI values in full irrigation and a similar RDI treatment in an SHD olive orchard in the Mediterranean region, although their CWSI was determined by infrared thermometry. Moreover, the mean CWSI values at the growth seasonal level were quite similar for the SI and RDI treatments (0.51 and 0.58, 0.54 and 0.63, 0.72 and 0.67 in the first, second and third season, respectively). These values can suggest that the water atmospheric demand and the coupling between this canopy and the atmosphere could play an important role. In fact, Rana et al. (2023) found that this hedgerow olive plantation is generally very well coupled to the atmosphere, regardless of soil water conditions. Furthermore, Tognetti et al. (2004) indicated that the large root system of olive trees might buffer reductions in relative extractable water, thus maintaining sufficient water supply with minor consequences on plant water relations.

Furthermore, the differences in CWSI values between treatments can suggest searching for a relationship with a specific plant water stress indicator as the stem water potential; the comparison between CWSI and Ψs, using all available data, (data not illustrated) shows a quadratic relationship (R2 = 0.44), with an increasing of CWSI values at the decreasing of Ψs. This relationship is comparable with results by Egea et al. (2017), even if in our case the Ψs measured values range is limited, being between − 1.0 and − 2.2 MPa (see following). In Egea et al. (2017) the relationship between CWSI and Ψs is clearer than our data, maybe because the CWSI was determined by infrared thermometry, so with a variable also liked to the plant water status and measured at the same time. Therefore, a relation between CWSI and REW, both determined at a daily scale, can be profitably searched for here. In fact, if the attention is focused on the RDI treatment during the irrigation interruption period, a relationship between REW and CWSI can be detected (Fig. 6) during the period July–August. CWSI and REW are well related by statistically significant functions (p < 0.01) in the first and third seasons, while the correlation is not statistically significant in the second season when rainfalls affected the irrigation withholding period. Nevertheless, while in the first season CWSI values were high at a REW threshold value of 0.4 indicating crop stress, in the third season CWSI values were high only at REW threshold values below 0.5–0.6. In this case, it seems that the high evaporative demand of the atmosphere (very high VPD and T, see Fig. 2) prevails over the water availability of the soil in adapting the olive trees to serve water (Chirino et al. 2011), addressing the plants to decrease the transpiration by stomatal regulation (Fernández et al. 1997; Fernández 2014; Rana et al. 2023).

Fig. 6
figure 6

Relationships between crop water stress index (CWSI) and relative extractable water (REW) in the period July–August for the regulated deficit irrigation (RDI) treatment in the three growth seasons

Water use–plant scale

Midday water potential and stomatal conductance from mid-June to mid-September are reported in Fig. 7.

Fig. 7
figure 7

Stem water potential (Ψs) and stomatal conductance (gs) measured at midday in the first (2019–2020) and third season (2021–2022) in standard irrigation (SI) and regulated deficit irrigation (RDI) treatments. The RDI period (irrigation withholding period) is indicated by light grey

In the first season, 2019–2020, Ψs for the SI treatment remained almost constant (− 1.09 ± 0.12 MPa) throughout the period, while it progressively decreased in the RDI treatment during the irrigation interruption period, reaching the lowest value (− 2.21 MPa) at the end of July. In the first three days of 2019–2020 season, as expected, no significant differences in gs values were found between the treatments. On 31 July and 20 August, when the irrigation was interrupted in RDI, gs was significantly higher in SI than RDI (p < 0.004 and p < 0.0001 on 31 July and 20 August, respectively). The RDI treatment showed an increase in gs when irrigation was resumed, demonstrating a full recovery and even surpassing the SI treatment on 11 September (p < 0.004), in accord with Fernández et al. (1997). In the first growing season, gs for SI treatment roughly increased from June to September, reaching a maximum value of 0.28 molH2O m−2 s−1; gs for RDI treatment decreased during the irrigation interruption period, reaching a minimum value of 0.07 molH2O m−2 s−1 in correspondence of the lowest Ψs values in mid-August.

In the third season, Ψs for the SI gradually and slowly increased from mid-July, being in mean equal to − 1.32 ± 0.19 MPa; Ψs for RDI treatment decreased during the irrigation interruption period until the minimum value of − 2.16 MPa at the beginning of August. In the third season, Ψs mean value of SI treatment was quite close to the mean value of RDI treatment (− 1.35 ± 0.19 MPa) indicating that the two plots were in closer water conditions than in the first season. In the third season, in general, the trend of gs for the SI and RDI treatments was non-statistically different, indicating similar crop water status, as also reported by the behaviour of water potential. During the RDI period, stomatal conductance in SI was significantly higher than RDI (4 August, p < 0.0001). In the summer of 2021–2022 season, the lowest gs values in SI and RDI were reached at the beginning of September (0.06 and 0.07 molH2O m−2 s−1, respectively) when the REW dropped dramatically, T and VPD were still high, affecting the stomata regulation as indicated by Zhang et al. (2019). These results suggest that stomatal conductance measured at the leaf level could be used as a water stress indicator (Hernandez-Santana et al. 2016) in Arbosana olive cultivar. Both eco-physiological parameters indicate that the olive tree has a good ability to recover from water stress when soil moisture is replenished. Indeed, depending on the severity of the water stress, until − 2.5 MPa of Ψs olive eco-physiological recovery occurs within 2–3 days; between − 2.4 and − 4.0 MPa recovery occurs within 20–30 days; it never occurs over − 4.0 MPa (see Angelopoulos et al. 1996; Fernández et al. 1997; Alegre et al. 1999; Moriana et al. 2002; Sofo et al. 2008; Iniesta et al. 2009).

The relationship between stem water potential and stomatal conductance is shown in Fig. 8, which includes all values simultaneously measured. This relationship indicates that the RDI orchard was always in low/mild-moderate water stress and the SI orchard is in low water stress conditions (Ahumada-Orellana et al. 2019). Under these conditions, this SHD olive orchard adjust its water consumption as soon as the thermodynamic conditions of the atmosphere become such as to require a costly increase in transpiration, even at water contents far from the wilting point (0.183 m3m−3). In this way, the olive trees avoid reaching high water potential values that produce a loss of hydraulic conductivity (Tognetti et al. 2009), thus preventing irreversible damage (Vilagrosa et al. 2003; Hernandez-Santana et al. 2016).

Fig. 8
figure 8

Relationship between stem water potential (Ψs) and stomatal conductance (gs) measured at midday in standard irrigation (SI) and regulated deficit irrigation (RDI) treatments; all available measurements are plotted

Water use efficiency and water productivity

The WUE and WP values for the three experimental seasons are reported in Table 2: the RDI treatment presents higher WUE and WP values than SI treatment. In 2020–2021 season, the olive orchard did not yield due to necessary hard rejuvenation pruning.

The RDI WUE, which used an average of 83% of the SI water, was 16% higher than the WUE for the SI treatment. The results are consistent with the finding of Fernández et al. (2013), who observed increases in WUE of 20% and 32% for 60% and 30% RDI, respectively, for cv. Arbequina in Spain. Padilla-Díaz et al. (2018) also found an increase of 32% in WUE for a 45% RDI treatment with respect to the full irrigation treatment in the same site and olive cultivar. Finally, it is difficult to compare the WP values in this study to those of other investigations in similar hedgerow olive orchards because whole-season measurements of actual transpiration, as were conducted in this study, are rare (Chebbi et al. 2018).

Conclusions

In this study, the cumulated value of water transpired at the growth seasonal scale was compared for an SHD olive orchard under standard irrigation versus regulated deficit irrigation. The trial was carried out for three years (1096 days) in a Mediterranean site with one of the most widely cultivated olive genotype in SHD olive orchards (cv. Arbosana). The total transpiration values at the season–year time scales were obtained by continuous measurements applying the sap flow thermal dissipation method in a rigorous manner (Ferrara et al. 2023); in particular, since the used probe were 20 mm length, a specific Gaussian function was applied to take into account the gradient effects in the sapwood area.

RDI regime applied to the SHD olive orchard reduced water requirements, did not affect olive yields and improved water use efficiencies. The 38% reduction in irrigation water applied to the RDI, compared to SI, had a weak or null effect on the physiological response of olive trees at a seasonal time scale. Therefore, RDI is a water-saving technique that should further increase the environmental sustainability of SHD olive orchards with well-adapted cultivars. Finally, these are the first eco-physiological data that took into account the rejuvenation pruning of an adult SHD olive orchard, supplying more insights into the behaviour of the well-adapted cultivars.

The relative extractable water value of 0.4, usually indicated as a stress threshold value, for this olive SHD orchard was not an absolute value, but depended on the atmospheric conditions, i.e. its water demand.

At the plant scale, during the RDI period, the SHD olive trees adjusted them stomatal conductance as soon as stem water potential was threatened, avoiding high water potential values that could lead to irreversible damage through a loss of hydraulic conductivity. Stomatal conductance at the leaf level could be used as a water stress indicator due to its strong relationship with stem water potential.

The results of this study indicated that the olive tree has good water recovery ability in SHD orchards under RDI, with stem water potential never exceeding -2.5 MPa and eco-physiological recovery occurring within a few days after water supply is restored.