Introduction

Several technical difficulties limit or restrict the access to root growth and functional parameters in natural soil environments (Milchunas 2012). Therefore, non-intrusive methods, including those based on electrical characterization of the root system in situ, have received increasing attention in recent years (Khaled et al. 2018). Significant correlations between the electrical capacitance of the root–substrate system (CR; Table 1) and the root system size were first found by Chloupek (1972) in various crops. CR was detected with an LCR meter operating with an alternating current (1 V, 1 kHz AC), connected to ground and plant electrodes embedded in the soil and inserted into the plant stem, respectively.

Table 1 Nomenclature

Capacitance is formed by the dielectric polarization of root cell membranes, which induces changes in the magnitude and phase of AC (Repo et al. 2000). The initial model for CR measurement, developed by Dalton (1995), considers roots as cylindrical capacitors connected in parallel, where the root membranes act as a dielectric, separating the conductive root sap from the conductive soil solution. AC is thought to flow axially in xylem and phloem vessels and radially through the root cortex; the capacitance exhibited on the root–soil interface (CR) is directly related to the amount of electric charges stored on the membranes. A more recent model by Dietrich et al. (2013) assumed the capacitance of unbranched root segments and of the whole root system to be connected in series and in parallel, respectively. In contrast with Dalton’s model, which considers the soil solution as purely conductive, Rajkai et al. (2005) and Dietrich et al. (2013) highlighted the fact that rooting substrates also provide capacitance (CS). They proposed the “two-dielectric capacitor model”, which contains a root and a soil dielectrics connected serially and have different relative permittivities (εr). According to physical laws, if the capacitance of the root tissue is considerably smaller than the substrate capacitance, the CR is determined by the root tissue.

One serious drawback of the capacitance method is that CR is strongly influenced by soil conditions (water saturation, texture, and chemical composition) and plant electrode placement (Ellis et al. 2013; Cseresnyés et al. 2017), so measurement data are only comparable if the same plant species is grown and measured under the same conditions (Chloupek et al. 2010). However, if the rooting substrate and electrode application procedure are standardized, the method is able to provide a reliable estimation of root system size in pot cultures and occasionally under field conditions (Heřmanská et al. 2015; Postic and Doussan 2016). An outstanding advantage of the technique is that CR data indicate the activity or “functional extent” of the root system (Dalton 1995; Cseresnyés et al. 2016), as AC predominantly flows through the water-absorbing surfaces of non-suberized fine roots (Čermák et al. 2006).

When AC is driven through a circuit element, complex impedance () is generated. The common equation to describe complex impedance is:  = Z′+ jZ″ = ||e, where Z′ and Z″ are the real parts (resistance; Z′= R) and the imaginary part (reactance; Z″ = X), respectively, and j is the imaginary unit (j2 = − 1). According to the equation, can also be characterized by the magnitude, || (the ratio of the voltage amplitude to the current amplitude) and the phase angle, Φ (the phase shift between total voltage and total electric current). At any AC frequency, Φ = 0° and Φ = − 90° for ohmic resistors and ideal (lossless) capacitors, respectively (negative Φ indicates that current leads the voltage). Living tissues are lossy capacitors, which—in accordance with Dalton’s model—are parallel circuits of resistances, R, and capacitances, C (Grimnes and Martinsen 2015). Cell membranes represent the main capacitive component, whereas the extracellular matrix and cytoplasm are mainly resistive (Li et al. 2017). The phase angle of the root–substrate system (ΦR) is much smaller (in absolute value) than 90°, and depends on the current frequency, soil type, and plant species (Cseresnyés et al. 2017), as well as being influenced by the physicochemical properties of root tissues (Aubrecht et al. 2006). Modeling the root system by a parallel RC circuit, the relationship between complex impedance and capacitance is: 1/ = 1/R + jωCR, where ω is the angular frequency. It is worth emphasizing that the R is here used as the real part of the , contrasting the widespread use of the term “resistance/resistivity” with regard to the method of electrical resistivity tomography, ERT (Weigand and Kemna 2019), where the magnitude of the impedance is referred to as resistance (R = ||).

Environmental stress is reported to cause changes in the electrical properties of plant tissues by modifying numerous features of cell walls, membranes, and the cytosol (Jócsák et al. 2010; Khaled et al. 2018). For this reason, impedance spectroscopy has become an effective method to study plant responses to, e.g., freeze injury, high salinity, or nutrient stress at the cellular level, using a wide frequency range (Hz–MHz) in isolated tissues and organs (Repo et al. 2000; Hamed et al. 2016; Li et al. 2017).

By measuring the impedance components and considering the root–substrate system as a parallel RC circuit, its electrical conductance (G, the reciprocal of the resistance) can be calculated as GR = tan(90 − ΦR)° × ω × CR. Wet soils have 2–3 orders of magnitude higher electrical conductance than root systems, so GR is determined by the root conductance (Cseresnyés et al. 2017). The magnitude of root conductance depends not only on the root system size, but also on the composition of the electrolytes and the integrity and permeability of the membranes (Aubrecht et al. 2006), thus providing useful information about root status.

The present study aimed to show that the monitoring of electrical parameters, such as capacitance (CR), impedance phase angle (ΦR), and conductance (GR), in intact root–substrate systems at a single low (1 kHz) frequency gives useful insights into some aspects of root development in pot cultures. As far as we know, this is the first combined application of these parameters to investigate plant root status in situ. The approach is now applied to evaluate the response of roots to different levels of substrate alkalinity. The genotypic differences in root growth and stress tolerance were also studied using two wheat cultivars in the experiment. Other physiological investigations were carried out in potted plants to verify that the electrical characterization of the root system was an effective complementary technique to the widely used plant methods.

Materials and methods

Plant material and cultivation

The pot experiment consisted of a factorial design (n = 10) with two wheat cultivars [Triticum aestivum L. cv. Hombar (H) and cv. TC33 (T)] and four alkaline treatments, namely control (0), and low (1), medium (2), and high (3) salt levels with 1, 2, and 3 g Na2CO3 kg−1 substrate, respectively. The substrate pH under alkaline stress was 8.58, 9.45, and 10.12 with corresponding ECe of 2.62, 4.18, and 5.27 dS m−1.

The seeds were germinated on moistened filter papers in Petri dishes at 23 °C for 2 days in darkness, after which the seedlings were planted into 0.85 dm3 plastic pots filled with 0.5 kg of a 1:1 (v/v) mixture of 0–5 mm rhyolite (Colas Co. Ltd., Tarcal, Hungary) and vermiculite (Pull Rhenen B. V., Rhenen, The Netherlands). The substrate had a pHH2O of 7.47, bulk density of 0.67 kg dm−3, CEC of 9.13 mmol 100 g−1, and 0.39 cm3 cm−3 water content at field capacity. Prior to planting, each pot was irrigated with 250 cm3 of distilled water (control plants) or saline solution containing the required amount of Na2CO3 (stressed plants). Two seedlings were planted 1 cm deep in each pot, then fifth days after planting (DAP), they were thinned to one to obtain uniform plant populations. The plants were randomly arranged in a growth room and cultivated for 40 days at 26/18 °C day/night temperature, 16 h light period (~ 600 μmol m−2 s−1 PAR) and 50–70% relative humidity. The pots were irrigated daily with tap water to field capacity after weighing, after which the volumetric moisture content was checked with a Trime-HD2 TDR meter (IMKO GmbH., Ettlingen, Germany) calibrated to the substrate mixture. The plants were fed weekly with 50 cm3 of 3 × Hoagland’s solution.

Electrical measurements

The impedance response of the root–substrate system was measured on four occasions (DAP 12, 20, 30, and 40) with a GW-8101G precision LCR device (GW Instek Co. Ltd., Taiwan) at 1000 Hz and 1 V AC. CR, ΦR, and GR values for the parallel RC circuit were displayed. The ground electrode was a sharpened stainless steel rod (15 cm long and 0.6 cm diameter) inserted to 10 cm depth in the substrate, 5 cm away from the stem. The plant electrode was clamped to the stem at precisely 1 cm above the substrate level through a 0.5 cm wide aluminum strip that bent the stem (Cseresnyés et al. 2016). Conductivity gel (Vascotasin®; Spark Promotions Co. Ltd., Budapest, Hungary) was smeared under the strip to maintain good electric contact (Rajkai et al. 2005). Two hours before electrical measurements, the pots were watered to field capacity (checked with TDR meter). Before seedling planting, the impedance response of the substrate (CS, ΦS, and GS) was also measured between two identical ground electrodes (with 5 cm distance).

Chlorophyll fluorescence and leaf chlorophyll content

The quantum efficiency of photosystem II (PS II) and the leaf chlorophyll (Chl) content were determined on the youngest fully expanded leaf of each plant on DAP 38 (9:00–12:00 a.m.). The fluorescence of Chl a was detected with an OS-30p + handheld Chl fluorometer (Opti-Sciences Inc., Hudson, NH, USA). The leaves were first adapted to dark for 10 min using black plastic clamps (9 mm diameter) to record the initial Chl a fluorescence (F0) and then were exposed to a 1.0 s saturation pulse of 3000 μmol photons m−2 s−1 to determine the maximum Chl a fluorescence (Fm). Based on the data obtained, the variable fluorescence (Fv = Fm − F0) and the maximal efficiency of the PS II center (Fv/Fm) were calculated for each leaf.

The leaf Chl content was estimated non-destructively, using a Minolta SPAD-502 m (Konica Minolta Inc., Osaka, Japan). A mean SPAD value was calculated from six measurements taken on the same leaf.

Plant harvest and biomass measurement

All the plants were harvested after the last electrical measurement (DAP 40) by cutting the shoots at the substrate surface. The leaves were detached from the stems and were scanned (Delta-T Deviced Ltd., Cambridge, UK) to estimate green leaf area (GLA). Roots were washed carefully by hand with running water over a sieve (0.2 mm) to remove substrate followed by the flotation of roots (Oliveira et al. 2000). The root surface was quickly dried with paper towels and the roots were weighed (± 0.001 g). A sample was taken from each root for the assessment of membrane stability index (MSI; see below), and the roots were instantly reweighed. The shoots (combined stems and leaves) and roots were oven-dried (70 °C) to constant mass and weighed to obtain shoot dry mass (SDM) and root dry mass (RDM).

Membrane stability index

MSI was determined from 0.1 g root samples, consisting of randomly selected fine roots, according to the method of Sairam et al. (2002). The samples were rinsed three times with double-distilled water (to completely remove the adsorbed Na+ ions) and put in test tubes containing 10 cm3 of double-distilled water. The tubes were kept in a water bath at 40 °C for 30 min, and then cooled to 20 °C. The electrical conductivity (EC1) of the water was recorded using a MultiLine-P4 device with TetraCon 325 conductivity cell (WTW GmbH, Weilheim, Germany). The tubes were incubated at 95 °C for 15 min and then cooled to 20 °C, and conductivity was measured again (EC2). MSI was calculated as: MSI = [1 − (EC1/EC2)] × 100.

Data analysis

The data were analyzed with Statistica software (ver. 13, StatSoft Inc., OK, USA). The unpaired t test or one-way ANOVA and Tukey’s post hoc test were used to compare data groups. If the F test or Bartlett test indicated significantly different standard deviations, Welch’s t test or the Kruskal–Wallis test with Dunn’s post hoc test was applied. Simple regression analysis was used to relate CR to RDM. Differences in regression line intercepts and slopes for the wheat cultivars were tested by linear analysis of covariance. In each case, differences were accepted as significant at P < 0.05.

Results

Electrical properties

Substrate measurements showed relatively large capacitance (CS) and predominantly ohmic impedance with a very low phase angle (|ΦS|; Table 2). High alkalinity significantly increased CS and decreased |ΦS|. GS values measuring a few mS were detected, which were increased by medium and high salt concentration.

Table 2 Effect of various alkalinity levels (0, 1, 2, or 3 g Na2CO3 kg−1 substrate) on the electrical capacitance (CS), impedance phase angle (ΦS), and electrical conductance (GS) of the plant growth substrate

In each treatment, CR increased consistently with plant age, as the root system expanded (Fig. 1a). Alkalinity caused a significant reduction in CR (Table 3), and the rate of decrease was related to stress level. At the last measurement, the influence of low salt level on CR became insignificant in comparison to the control for both wheat cultivars. At the first measurement time (DAP 12), significantly (9–11%) higher mean CR was detected for H0 and H1 plants than for the T0 and T1 groups, respectively (Table 4), whereas we revealed no cultivar differences on DAP 20 and 30. The last measurement (DAP 40) showed 11–18% higher CR for cultivar T compared with H, except under high alkalinity, where the difference proved to be insignificant.

Fig. 1
figure 1

Changes in a electrical capacitance (CR), b impedance phase angle (ΦR), and c electrical conductance (GR) of the root–substrate system measured at different plant ages (days after planting, DAP) in two wheat cultivars (H and T) exposed to various levels of alkalinity stress (0, 1, 2, or 3 g Na2CO3 kg−1 substrate). Error bars represent SD (n = 10). Phase angle graph is shown with inverted vertical axis, as a higher negative Φ value indicates a higher phase angle in capacitors

Table 3 Effect of various levels of alkalinity stress (1, 2, or 3 g Na2CO3 kg−1 substrate) on the parameters of two wheat cultivars (H and T) compared to the control plants (H0 or T0)
Table 4 Differences between the parameters of wheat cultivars H and T for plants grown under various levels of alkalinity stress (0, 1, 2 or 3 g Na2CO3 kg−1 substrate)

|ΦR| reached a maximum value on DAP 20 for non-stressed plants and at low alkaline level, but decreased continuously during the whole growing period in plants exposed to medium or high alkalinity (Fig. 1b). On DAP 12, |ΦR| was only significantly reduced by the high stress level, but later (DAP 20 and 30) even by the medium level. At the last measurement, |ΦR| was lower in all the stress treatments for cultivar H, but only under high alkalinity for cultivar T compared to the respective control. The cultivars showed no differences in |ΦR| up to DAP 40, when its value became higher for cultivar T grown under stress.

As the plants grew, there was a continuous increase in GR, irrespective of the alkaline treatment (Fig. 1c). The first measurement showed a significant (15–22%) reduction in GR for both cultivars when subjected to high salt content. Thereafter, no differences were found between the treatments, except for H0 vs. H3 on DAP 30. Cultivar differences in GR proved to be insignificant except on DAP 12, when H1 plants exhibited higher values than T1 (P = 0.034).

F v/F m and leaf Chl content

The Fv/Fm value in the youngest fully expanded leaves was unaffected by low and medium alkalinity, but significantly decreased by the high stress level (Fig. 2a). Under non-stressed conditions, cultivar H exhibited a higher (P = 0.036) Fv/Fm ratio than cultivar T, but the difference was insignificant in the case of stressed plants.

Fig. 2
figure 2

a Photochemical efficiency (Fv/Fm) and b chlorophyll content (in SPAD value) of the youngest fully expanded leaves, c green leaf area (GLA), d shoot dry mass (SDM), e root dry mass (RDM), and f root membrane stability index (MSI) measured in two wheat cultivars (H and T) exposed to various levels of alkalinity stress (0, 1, 2 or 3 g Na2CO3 kg−1 substrate). Error bars represent SD (n = 10)

The mean SPAD value of cultivar H proved to be independent of substrate alkalinity, whereas it was significantly reduced (by 8.3%) when cultivar T was exposed to the high stress level (Fig. 2b). Irrespective of the growth conditions, the SPAD readings were significantly (16–20%) lower in cultivar H than in T.

Green leaf area and plant biomass

Mean GLA showed a decreasing trend with increasing alkalinity (Fig. 2c), but the change was only significant in the case of the medium and high alkaline treatments (18% and 42%, respectively) for cultivar H, and only in the case of high stress (43%) for cultivar T. We showed only insignificant differences in GLA between the two cultivars.

Low-dose alkaline stress did not affect the SDM values of the cultivars (Fig. 2d). Compared to the control, SDM was reduced by 16% and 19% in cultivars H and T, respectively, by the medium alkaline level, and by 35% and 51% by high alkalinity. Cultivar T produced significantly higher SDM than cultivar H, except when the high alkaline level was applied.

Compared to non-stressed conditions, RDM did not change significantly at low alkalinity (Fig. 2e), but decreased at the medium alkaline level by 16% and 17% in cultivars H and T, respectively. When the plants were grown at high salt content, the percentage decrease in RDM was 31% in cultivar H and 48% in cultivar T. Apart from the high alkalinity treatment, the RDM of cultivar T proved to be significantly higher than that of cultivar H.

Membrane stability index

The root MSI declined in response to increasing alkalinity level (Fig. 2f). The stress effect was more pronounced for cultivar T, in which MSI was significantly reduced by any salt treatment, while in cultivar H, only high alkalinity induced a significant decline in membrane stability. For this reason, MSI was significantly lower for cultivar T than for H when high alkalinity level was applied.

Root capacitance–root dry mass regressions

A close linear relationship (P < 0.001; n = 40) was found between CR and RDM for both cultivar H (R2 = 0.883) and T (R2 = 0.940; Fig. 3). Linear analysis of covariance showed that the slope of the regression line for cultivar H (11.44 ± 0.68 nF g−1 RDM; mean ± SE) was significantly (P = 0.002) steeper and the y-intercept (1.11 ± 0.19 nF) significantly (P = 0.003) smaller than for cultivar T (8.95 ± 0.37 nF g−1 RDM; 1.82 ± 0.13 nF).

Fig. 3
figure 3

Linear relationship between the electrical capacitance of the root–substrate system (CR) and the root dry mass (RDM) of wheat cultivars H (filled triangle, solid line) and T (unfilled circle, dashed line) exposed to various levels of alkalinity stress. Regressions are significant at the P < 0.001 level (n = 40). Analysis of covariance showed significant differences between the slope (P = 0.002) and y-intercept (P = 0.003) of the regressions

Discussion

The electrical measurements demonstrated that substrate capacitance (CS) and conductance (GS) were substantially higher than the values recorded in root–substrate systems (CR and GR). These findings corroborated the assumptions both of Dalton’s (1995) model and of the two-dielectric capacitor model, implying that CR and GR are determined by the root capacitance and root conductance. On this basis, it is very likely that the relatively slight further increment in CS and GS after salt addition had a negligible effect on measurements in the root–substrate system.

Saline conditions impose multiple stresses on roots, including osmotic and oxidative stress, or specific ion toxicity (Bernstein 2013; Gupta and Huang 2014). Alkaline salts cause more harmful effects than neutral salts due to the elevated pH, which destroys the nutrient supply and results in serious ion imbalance (Yang et al. 2008). The rhizodermal cell membrane provides various mechanisms for acclimation to adverse environmental conditions. Exposure to high salinity affects ion uptake processes and alters the membrane potential (Suhayda et al. 1990). Salinization markedly modifies membrane protein and lipid composition, inducing changes in membrane structure, and disrupting integrity and selectivity (López-Pérez et al. 2009). The enhanced formation of reactive oxygen species causes cell damage, e.g., membrane lipid peroxidation (Gupta and Huang 2014). Salt stress stimulates the maturation of the exodermis and endodermis and the development of the Casparian strip (Hose et al. 2001). Typical responses of roots to saline-alkaline conditions are an increased rate of lignification and suberization, and enhanced amounts of lignin and suberin, accompanied by altered chemical composition. Salt-induced cell death and restricted cell division are reported to result in shorter but thicker root branches (Bernstein 2013). Impeded root growth is also due to the adverse effect of alkaline salts on substrate (soil) properties, such as pH, hydraulic conductivity, or redox potential, related to nutrient deficiency and toxicity (Wright and Rajper 2000).

The aforementioned physicochemical, histological, and morphological changes are jointly responsible for the altered electrical properties of root tissues, which are reflected in the modified impedance response of the root–substrate system. The reduced root growth rate was clearly indicated by the decreasing CR reading at increasing salt stress levels. Alterations in root morphology and architecture also contribute to the decline in CR: though salinity tends to promote the formation of adventitious roots, the extensive degradation of root hairs leads to a reduction in the charge-storage (ion-absorbing) root surface area and thus in CR (Dalton 1995; Ellis et al. 2013).

The present results show that alkalinity also decreased the efficiency of charge storage (|ΦR|). Low-frequency AC passes through the root primarily through the apoplastic (extracellular) pathway, which is almost purely resistive, and only to a lesser extent through the symplastic (intracellular) pathway, which contains capacitive elements, such as cell membranes (Li et al. 2017). The electrical properties detected for roots depend on the contribution of these parallel pathways to (Repo et al. 2000; Khaled et al. 2018). Stress-induced changes in root membranes, particularly enhanced lignin and suberin content, modify the ratio of the current pathways, and thus the dielectric response of the roots. Lignin and suberin are electrical insulators, possessing lower relative permittivity (εr = 2–2.4) compared to other main components of root tissues, i.e. water (εr ~ 80) or cellulose (εr ~ 7.6; Ellis et al. 2013). Therefore, the increased amount of these materials deposited in cell walls under stress results in reduced |ΦR| and enhanced R in the roots (Jócsák et al. 2010). Stress is observed to weaken the electrical double layers present in the root, decreasing the magnitude of the overall polarization response (Weigand and Kemna 2017). Lignification and suberization are inherent processes in maturing roots, often reflected as declining |ΦR| during later stages of ontogeny (Cseresnyés et al. 2018a). However, stress causes an additional decrease in the phase angle, as indicated in the present experiment by the disappearance of the peak value of |ΦR| at DAP 20 at the medium and high alkalinity levels.

Alkalinity caused no significant reduction in GR, despite the fact that root size (RDM) progressively decreased with increasing salt content, while the intensifying lignification could be expected to form an effective barrier against apoplastic flow of water, ions and electric current (Hose et al. 2001; Aubrecht et al. 2006). This implies a considerable increase in symplastic conductivity (specific conductance) due to the enhanced intracellular Na+ concentration and the greater leakage of solutes through the membranes (Yang et al. 2008; Hamed et al. 2016). Increased electrolyte leakage in salt-stressed roots is attributable to the enhanced membrane permeability caused by ROS-induced oxidative damage, as detected on the basis of decreasing MSI (Kumar et al. 2015).

Salt stress generally reduces the leaf Chl content, mainly through the inhibition of Chl synthesis and destruction in the chloroplast structure, and it causes a decline in PS II efficiency (Mathur et al. 2013; Gupta and Huang 2014). In the present case, Fv/Fm and SPAD measurements only showed this effect in plants subjected to high alkalinity, probably because the investigations were restricted to the youngest fully expanded leaves on each plant. Wheat is known to respond to salinity by the accelerated death of old leaves and by the translocation of nutrients into the younger leaves, contributing to the maintenance of their photosynthetic capacity during stress (Ouerghi et al. 2000). In the present experiment, the senescence of older leaves was greater in stressed plants. Wheat cultivars were reported to exhibit great genetic variance in SPAD readings, due not only to the different Chl concentrations, but also to the non-uniform Chl distribution pattern and to differences in leaf thickness and mesophyll structure (Giunta et al. 2002; Monostori et al. 2016).

The present results suggest that wheat cultivar T was comparatively sensitive to a high alkaline level, showing a higher percentage reduction in CR (DAP 40), SDM, and RDM over the control plants compared with the changes calculated for cultivar H (the significantly higher CR and biomass showed by cultivar T in the other treatments became insignificant at high alkalinity). The greater sensitivity of cultivar T to highly alkaline conditions was also indicated by the significantly lower root MSI. This is consistent with reports on studies involving numerous wheat genotypes, which demonstrated that the decrease in MSI caused by salinity stress was correlated with the loss of plant biomass, in association with enhanced membrane lipid peroxidation and intracellular Na+ concentration (Sairam et al. 2002; Farooq and Azam 2006; Kumar et al. 2015). The significantly higher |ΦR| measured for the less tolerant cultivar T under alkalinity suggests that smaller changes (moderate lignification rate) were induced in roots for adaptation to adverse conditions. The histochemical observations reported by Jbir et al. (2001) confirmed a greater increase in cell-wall peroxidase activity and more intense lignification in the central cylinder of root in salt-tolerant than in salt-sensitive wheat species under salinity. However, further experimental approaches will be required to verify the relationship between ΦR and the lignin and suberin content of roots.

The strong CR–RDM relationships demonstrated that electrical capacitance was a reliable indicator of root system size. Nevertheless, the significantly different regression slopes and intercepts showed that a comparison between cultivars based on CR measurements should be made cautiously after specific calibration. The observed discrepancies in regression parameters are likely due to different root cross-sectional area, and to differences in root anatomy and morphology (Dietrich et al. 2013). The positive intercept is indicative of the “accompanying capacitance”, which is determined by the stem capacitance and also by substrate properties, including water content (Chloupek et al. 2010; Cseresnyés et al. 2017). Root system size can also be estimated by detecting CR in plants grown in natural soils. However, the dielectric nature of variably charged soil colloids interferes with the root electrical signal, resulting in less reliable measurements (Postic and Doussan 2016; Cseresnyés et al. 2017). Although root electrical characterization is better suited for use in potted plants, promising examples have been reported the estimation of root size and activity based on CR data recorded with a handheld LCR meter in the field (Chloupek et al. 2010; Heřmanská et al. 2015; Cseresnyés et al. 2018b).

In conclusion, the single-frequency monitoring of electrical capacitance, impedance phase angle, and electrical conductance in root–substrate systems is a beneficial in situ technique for studying root growth and status and the response to abiotic stresses, and for assessing the stress tolerance of cultivars under pot conditions. Without offering a direct insight into the root system, this in situ technique is nevertheless suitable for recording root traits on a fine-time scale, and for the detection of cultivar-specific differences in comparative experiments involving numerous plants. It is particularly useful when plant injury or soil disturbance are unacceptable. The present observations suggest that the electrical characterization method has the potential to complement other plant physiological investigations by providing information about the living root system hidden in the soil, and thus deserves further attention in plant studies.

Author contribution statement

ICs designed the study, carried out the electrical measurements, read the relevant literature, and wrote the paper. TT designed the plant physiological investigations and participated in writing the paper. BS cultivated the plants and performed biomass measurements. RK, AF, and IP carried out plant physiological measurements and evaluated the data. KR supervised the work and helped in data interpretation. All the authors read the manuscript and approved the submission.