# Effects of root dehydration on biomechanical properties of woody roots of *Ulex europaeus*

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## Abstract

### Aims

Effects of root water status on root tensile strength and Young’s modulus were studied in relation to root reinforcement of slopes.

### Methods

Biomechanical properties of woody roots, *Ulex europaeus*, were tested during progressive dehydration and after thirty-day moisture equilibration in soil with contrasting water contents. Root diameter, water content and water loss were recorded and root water potential versus water content relation was investigated. Tensile stresses induced by root contraction upon dehydration were measured.

### Results

Root tensile strength and Young’s modulus increased abruptly when root water content dropped below 0.5 g g^{−1}. The strength increase was due to root radial and axial contraction induced by root water potential drop. Diameter decrease and strength gain were the largest for thin roots because of the relatively larger evaporative surface per volume of thin roots. Largely negative water potentials in dry soil induced root drying, affecting root biomechanical properties.

### Conclusion

Root water status is a factor that can cause (inappropriately) high strength values and the large variability reported in literature for thin roots. Therefore, all root diameter classes should have consistent moisture for fair comparison. Testing fully hydrated roots should be the routine protocol, given that slope instability occurs after heavy rainfall.

## Keywords

Eco-engineering Root dehydration Root shrinkage Root water potential Tensile strength Young’s modulus## Introduction

*T*

_{r}) and root diameter (

*d*) have been reported in almost all studies that are concerned with root mechanical reinforcement (Bischetti et al. 2009; De Baets et al. 2008; Ghestem et al. 2014a; Mao et al. 2012; Stokes et al. 2008). A negative power law has been commonly used to explain the relation for various plant species (Mao et al. 2012):

A number of recent studies report no or weak power law relation between root biomechanical properties (i.e. strength and Young’s modulus) and diameter (Boldrin et al. 2017b; Ghestem et al. 2014a; Hales et al. 2013; Hales and Miniat 2017; Liang et al. 2017; Mao et al. 2018; Meijer et al. 2018). In particular, Boldrin et al. (2017b) reported strength i) increasing; ii) reducing and iii) increasing initially followed by a reduction as diameter increases when woody roots of ten woody species widespread in Europe were tested. Recent studies have shown that root age (Loades et al. 2015), topological order (Mao et al. 2018) and anatomy (e.g. stele area ratio; Mao et al. 2018) can be better parameters than root diameter for explaining variation in root biomechanical properties and some scatter in strength versus diameter relation. Moreover, soil conditions such as soil density (i.e. relevant to mechanical impedance) and waterlogging can also affect root biomechanical properties and their relations with diameter (Loades et al. 2013).

Despite the importance of plant transpiration controlling some aspects of soil drying for slope stability (i.e. hydrologic reinforcement), most existing laboratory studies omit any information about the root water status before, during or after testing. A limited number of studies do however include some information on root water status when testing (Hales et al. 2013; Hales and Miniat 2017; Preti and Giadrossich 2009; Tosi 2007; Yang et al. 2016). Recently, a review of methods for mechanical testing of woody roots by Giadrossich et al. (2017) listed root moisture among the specimen variables in biomechanical testing. Studies such as Tosi (2007) and Preti and Giadrossich (2009) report root water content and the tensile strength values ranging widely (e.g. water content: 13 and 40% of dry weight) in root samples of *Spartium junceum*. Biomechanical testing conducted by Hales and Miniat (2017) and Yang et al. (2016) showed a notable increase in root strength as woody roots dry (e.g. relative water content <60%). Moreover, Boldrin et al. (2017b) hypothesised that root diameter reduction due to drying results in a root strength increase, as strength is calculated from empirical measures of force and diameter (see Materials and methods section; Eq. 5). Indeed, root diameter may notably change in response to plant water status change (Carminati et al. 2013; Huck et al. 1970). Moreover, roots of some species (e.g. cacti and geophytes) could deform axially due to contraction of the vascular tissues (i.e. root contraction; De La Barrera and Smith 2009). In these species, root contraction may improve plant anchorage and pull the shoot down in the soil (De La Barrera and Smith 2009). Root contraction upon drying and the consequential changes in root biomechanical properties have rarely been studied, especially for woody species that are of interest in soil bio- and eco-engineering application. In particular, the assessment of root axial contraction (i.e. induced tensile stress) could determine if during root shrinkage upon drying mechanically relevant tissues are involved (e.g. fibres and xylem vessels) in addition to the simple volume loss (i.e. turgor loss) of soft tissues (parenchyma tissues) and diameter decrease.

Most studies mainly focus on root tensile strength and omit any information about root Young’s modulus, and how root water status affects these properties. Jotisankasa and Taworn (2016) is one of the few studies which shows that roots of live stakes (*Jatropha curcas* L.) are stronger and stiffer when dry. The same study also proposes a model to capture any effects of root and soil moisture on root cohesion. Although some recent studies have already shown that root drying can result in a root tensile strength increase (Boldrin et al. 2017b; Hales and Miniat 2017; Jotisankasa and Taworn 2016; Yang et al. 2016), no study has attempted to distinguish quantitatively between the calculation effect due to diameter shrinkage (Boldrin et al. 2017b) and potential changes in material properties. Similarly, it has been suggested that roots of both living and dead trees may equilibrate with soil moisture and change in strength (Hales and Miniat 2017; Watson et al. 1997), but data on the relation between soil moisture and both root strength and Young’s modulus are rare. Therefore, the direct effect of root water status on biomechanical properties remains poorly understood.

The objective of this study is to investigate the effects of root drying on root biomechanical properties, aiming to answer the following research questions: (i) Do root tensile strength and Young’s modulus increase with root drying? (ii): Are variations of root biomechanical properties upon drying associated with (a) calculation effects due to diameter change or (b) changes in material properties? (iii) Do soil water content and soil water potential affect the biomechanical properties of roots permeating the soil? The experiments reported in this study tested these hypotheses using *Ulex europaeus* roots sampled from mature plants. *U. europaeus* roots were selected for testing in this study due to its potential ability to act as an “ecological engineer species” on slopes (Boldrin et al. 2018). In particular, *U. europaeus* has a notable ability to dry soil along a depth profile due to its fast root growth rate and resource use (Boldrin et al. 2018). Thus *U. europaeus* roots may be often subjected to large soil moisture fluctuations.

## Materials and methods

### Root materials

*Ulex europaeus* L. (Fabaceae; common name: gorse) is a woody perennial shrub species, native to Europe and North Africa. *U. europaeus* can grow in nutrient-poor soils (e.g. sand dunes) and generally colonizes highly disturbed areas such as roadsides, over-grazed pastures, logged areas and burnt over forests. In Scotland, *U. europaeus* is one of the most common woody species on natural and man-made slopes. *U. europaeus* is a suitable species for eco-engineering due to its pioneer nature (Norris et al. 2008) and its ability to provide hydro-mechanical reinforcement (Boldrin et al. 2017a, b; Boldrin et al. 2018; Liang et al. 2017). For instance, Boldrin et al. (2018) found that soil drying by *U. europaeus* induced a soil strength gain (up to six-fold the value at saturation) along the entire depth-profile in 1-m soil columns. *U. europaeus* was recently chosen by Liang et al. (2017) as a model species to study the effects of root mechanical reinforcement on slope stability in a geotechnical centrifuge. In June 2017, roots of *U. europaeus* were sampled in Scotia Seeds farm, Brechin, UK (East Scotland, 56°69′99´´ N, 2°65′56´´ W), from a monospecific hedge constituted by 17 year-old *U. europaeus* plants. Roots were carefully collected from the top 0.3 m of soil in three different sampling sites along the hedge. To avoid any dehydration of root materials during sampling, root samples were immediately stored in plastic bags with wet blotting tissues. After sampling, roots were washed from the soil using a set of sieves (from 2 to 0.5 mm mesh) and cut into 150 mm segments. Only root segments that were free of tortuosity or tissue damages were selected for tensile testing. Root segments with a noticeable departure from cylindrical shape were discarded. Each root segment was fully hydrated in distilled water for 24 h and then stored at 5°C in sealed plastic bags with moist blotting tissues. All roots were tested for their biomechanical properties within one week after hydration, unless stated otherwise.

### Root drying treatments

To test the effects of root drying on root biomechanical properties roots were air dried for different periods (i.e. time 0 (hydrated roots), 30 min, 1 h, 2 h, 5 h and 24 h drying) in a controlled environment (temperature: 20.00 ± 0.02 °C (mean ± standard error of mean); relative humidity: 39.35 ± 0.11%). During air-drying, all root segments were placed on plastic flat trays. For each treatment, ≈40 segments were prepared.

*n*= 585, all root segments tested). Following diameter measurement, root segments were evenly and randomly distributed in the different treatments, ensuring that each diameter class was represented in each treatment. Root water loss (W

_{L}; g g

^{−1}) for each segment was determined using Eq. (2):

_{hyd}and M

_{t}are the weight (g) of the hydrated root segment before treatment (i.e. time 0) and its weight after treatment (i.e. after drying time-lapses), respectively. Samples were weighed on an electronic 3-decimal-place balance. To avoid further water loss after the drying stage, each root segment that was ready to be mechanically tested was wrapped in a plastic film, sealed in a plastic bag and kept in a polystyrene box with ice packs before testing. After treatment (i.e. drying), all root segments were tested for their biomechanical properties within 30 min. Prior to each biomechanical test, root water content (W

_{C}; g g

^{−1}) was measured on a sub-section (25–30 mm) for each root segment by oven-drying (Eq. 3):

_{f}and M

_{d}are the weight (g) of the fresh root sub-section and its oven-dry weight, respectively. Oven-dry weight of the sub-section was obtained by drying the material at 70 °C until a constant weight was recorded. Samples were weighed on an electronic 4-decimal-place balance. Note that water content per dry weight (g g

^{−1}) can be transformed in percentage water content per fresh weight using Eq. (4).

Diameter of root segments, after drying treatments and immediately before biomechanical testing (i.e. final diameter), was again measured at the three marked points used for the initial diameter measurement on hydrated root segments.

### Biomechanical properties of roots

^{−1}. A typical duration for a tensile test was approximately four minutes (e.g. 3.93 ± 0.11 min for hydrated roots in the diameter range between 0.5 and 5.6 mm). However, the duration of a tensile test could vary among samples due to the inherent variability of biological materials and root biomechanical properties. Tensile tests were carried out using 50 N, 500 N and 2 kN load cells, depending on the range of the root diameters being tested. To avoid slippage of roots in the clamps, both manually-tightened and pneumatic clamps were used, again depending on the root diameter. Pneumatic clamps with pressures ranging from 100 to 250 kPa were used for roots larger than 2 mm in diameter. The length of the root section between clamps was 60 mm. The tensile strength (MPa) and Young’s modulus (MPa) of each root section were determined from the corresponding stress-strain curve (De Baets et al. 2008; Loades et al. 2013). Tensile strength (

*T*

_{r}) was obtained using Eq. (5):

*F*is the peak force required to break a root (N) and

*d*is the root diameter (mm). Note that in the present study, tensile strength was calculated using both initial (i.e. hydrated root before treatment) and final (i.e. after treatment) diameters. The use of initial or final diameter, in the tensile strength calculation, is stated explicitly in the Results section. The diameter decrease (

*Δd*) due to shrinkage as root dries was calculated using Eq. (6):

_{i}and d

_{f}are the initial and final diameter (i.e. after treatment) of the root segment, respectively. Therefore the diameter decrease can be expressed as relative diameter, which is equal to Eq. (7):

*ΔT*

_{r}; %) due to diameter change by root drying and shrinkage was calculated using Eq. (8):

*T*

_{fd}and

*T*

_{id}are the tensile strength calculated using final (i.e. after treatment) and initial (i.e. hydrated root before treatment) diameter, respectively.

*E*

_{r}) was derived from the initial gradient of the tensile stress-strain curve within the elastic region (i.e. initial linear part):

*F*is the applied force (N);

*L*

_{o}is the initial length (mm) of the root sample; and

*ΔL*is the change in root length (mm) during tensioning. Young’s modulus was calculated using the final diameter, measured immediately before testing (i.e. after drying/treatment), unless stated otherwise. Note that the initial root length between clamps was 60 mm.

^{2}) and volume (mm

^{3}) of each root segment was calculated from the initial diameter (i.e. hydrated diameter before treatment) and the segment length (

*L*

_{s}; 150 mm), assuming a cylindrical shape:

### Biomechanical properties of roots in soil with different water contents

To evaluate the effect of soil water content on the biomechanical properties of roots buried in soil, four contrasting soil water contents (i.e. treatments) were tested. The soil used in this study was collected from Bullionfield, The James Hutton Institute, Dundee, UK. It was a sandy loam (71% sand, 19% silt and 10% clay (Loades et al. 2013)). The initial water content (g g^{−1}) of soil (sieved <4 mm) was measured by oven-drying three soil sub-samples at 105 °C for 72 h. Subsequently, water was added to the soil to achieve different target water contents: 0.09, 0.15 and 0.25 g g^{−1}(i.e. soil treatments). After adding the desired amount of water, the soil was left to equilibrate in sealed plastic bags for 72 h. After equilibration, soil water content was measured again to verify if the target water contents were achieved. Dry soil was obtained by oven-drying the soil for 72 h at 105 °C.

Root segments (150 mm length) were fully hydrated for 24 h in distilled water at 5 °C. Then, 112 roots were tested for their water content (Eq. 3) and biomechanical properties (i.e. tensile strength and Young’s modulus), as control (i.e. fully hydrated roots). After diameter (i.e. initial diameter) measurements, the remaining root segments were labelled, enclosed in polyester net bags (< 0.2 mm mesh aperture) and buried in soil pre-equilibrated at the target water contents. Soils with roots were kept in sealed bags inside polystyrene boxes to avoid water loss and thermal fluctuation (temperature: 20 °C). Roots were evenly and randomly attributed to each treatment, ensuring that each diameter class was represented (≈ 55 segments per treatment). After 30 days, all root segments were extracted from soil and tested for water content and biomechanical properties. The final soil water content and water potential (MPa) were measured. Soil water potential was measured on three samples per each treatment (i.e. soil water content) using a dew-point hygrometer (WP4-T, Decagon Devices).

### Root water release curve

The relation between root water content (g g^{−1}) and water potential (MPa), representing the root water release curve, was obtained from four replicate root segments. Fully hydrated root segments (20–30 mm length; 2.8–4.1 mm diameter) were placed in sampling holders (diameter 40 mm; height 10 mm) to measure their water potential using a dew-point hygrometer (WP4-T, Decagon Devices). Samples were then immediately weighed on an electronic 4-decimal-place balance. The root water potential and root weight were measured at frequent intervals during progressive dehydration until the water potential reached −7 MPa. Finally, root samples were oven-dried at 70 °C until a constant weight was recorded. Water content during progressive dehydration was calculated using Eq. (3).

### Root contraction stress induced by drying

To investigate any change in root strength due to root drying, the stress (i.e. force per cross-section area of root) induced by root axial shrinkage was measured using the universal testing frame (Instron 5966). An individual root segment (150 mm length; 1.4–2.2 mm diameter) was clamped using manually-tightened clamps with a 500 N load cell (root length between clamps = 60 mm). Initially, each root segment was stretched with 5 mm min^{−1} extension rate until 1 MPa of root tensile stress was reached. An initial stress of 1 MPa was imposed to stretch the root material and allow subsequent recording of root contraction. Tensile stress of 1 MPa corresponded to ≈6% of peak tensile strength (i.e. tensile strength at maximum load; shown later) and fell within the elastic region of the stress-strain curve of *U. europaeus* roots. Subsequently, each root sample was held (i.e. displacement unchanged) and any tensile stress, induced by root contraction upon drying, was recorded for 72 h continuously to obtain a tensile stress versus time plot. At the end of each test (i.e. after 72 h), tensile strength at maximum load and Young’ modulus of root segments were tested with an extension rate of 2 mm min^{−1}. In the calculation of tensile strength and Young’s modulus, the initial diameter of hydrated root segment (i.e. time 0 right before testing) was used. Initial and final (i.e. after 72 h) water content were measured on sub-sections of tested root segments. A root sub-section for the measurement of initial water content was cut from each root segment before testing. Immediately after testing, a root sub-section was removed from the tested root for final water content measurement. Ten additional roots were tested for 24 h to assess the effects of a shorter drying period. During the study, laboratory temperature and relative humidity averaged 22.0 ± 0.0 °C and 54.3 ± 0.1% (recorded at 30 min intervals; July – August 2017), respectively.

### Statistical analysis

Statistical analysis was performed using GenStat 17th Edition (VSN International) and SigmaPlot13 (Systat Software Inc). Significant differences were assessed with one way-ANOVA, followed by post hoc Tukey’s test. Data that did not follow a normal distribution were log or square root transformed before ANOVA. Wilcoxon Matched-Pairs test was used to compare before-and-after treatment observations on the same samples (for non-normally distributed data, e.g. diameter before-and-after 30 days in dry soil). Log-transformed tensile strength and Young’s modulus were analysed using Generalized Linear Models (GLM) with normal distribution and identity link function. Root water content and final diameter (i.e. after treatment) were included as fixed factors to assess their effect on biomechanical properties and interactions. GLM with normal distribution and identity link function were also used to test the effect of initial diameter and treatment on tensile strength change due to diameter change (log-transformed data). Results were considered statistically significant when *p*-value ≤0.05. The variability of averaged data is expressed as ± standard error of mean.

## Results

### Biomechanical properties of roots

*U. europaeus*(Fig. 2a, g) showed maximum tensile strength and Young’s modulus values up to 30.7 MPa (mean = 16.0 ± 0.9 MPa) and 852.0 MPa (mean = 425.6 ± 29.5 MPa), respectively. Both biomechanical properties showed no relation with diameter recorded immediately before testing (i.e. after treatment), apparently remaining constant with root diameter from 0.55 to 6.19 mm. Moreover, the greatest tensile strength (30.7 MPa) was recorded in a thick root (i.e. 3.93 mm). The relation between diameter and strength started to change after 2 h (Fig. 2d), when a tensile strength value up to 48.0 MPa was recorded in a thin root (0.50 mm). Subsequently, after 5 and 24 h (Figs 2e, f), the increase in the strength of thin roots (i.e. < 2 mm) became more evident, highlighting a negative power-law relation between root diameter and tensile strength. Indeed, after 24 h, the average strength of thin roots (40.0 ± 5.3 MPa) was twice as large as that in thicker roots (> 2 mm; 20.5 ± 2.6 MPa). Moreover, the greatest strength value (118.3 MPa), recorded after 24 h, was four times larger than that recorded in hydrated roots. Young’s modulus versus diameter relation exhibited an abrupt change after 24 h, when Young’s modulus of thin roots increased up to 5051.6 MPa (Fig. 2l). In this case, Young’s modulus versus diameter relation could also be fitted by a negative power law relation.

### Root water loss and root water content

^{−1}, recorded in 4.09 and 0.75 mm diameter roots, respectively (Fig. 3f). Thin roots highlighted a progressive dehydration with large roots maintaining greater water content for longer. Indeed, the water content of large roots did not drop below 0.95 g g

^{−1}even after 5 h drying whereas thin roots showed a minimum value of 0.11 g g

^{−1}(Fig. 3j). After 24 h drying, root water content highlighted a linear and positive relation with initial diameter (Fig. 3k).

Summary of best-fit equations, R^{2} and number of samples (n) for the relations between initial root diameter (*d*_{i}), root water loss (*W*_{L}) and root water content (*W*_{C}) in different treatments (Fig. 3)

Root water loss | Root water content | |||||
---|---|---|---|---|---|---|

Treatment | Eq | R | n | Eq | R | n |

Time 0 | – | – | – | – | – | 38 |

After 30 min |
| 0.93 | 31 | – | – | 35 |

After 1 h |
| 0.83 | 35 |
| 0.22 | 39 |

After 2 h |
| 0.90 | 33 |
| 0.43 | 36 |

After 5 h |
| 0.88 | 37 |
| 0.68 | 31 |

After 24 h |
| 0.66 | 35 |
| 0.86 | 35 |

Summary of best-fit equations, R^{2} and number of samples (n) for the relations between root area/volume ratio (*A/V*) and water loss (*W*_{L}) in different treatments (Fig. 4)

Treatment | Eq | R | n |
---|---|---|---|

After 30 min |
| 0.93 | 31 |

After 1 h |
| 0.82 | 35 |

After 2 h |
| 0.91 | 33 |

After 5 h |
| 0.87 | 37 |

After 24 h |
| 0.64 | 35 |

### Effects of root water status on root biomechanical properties

^{−1}. Water content could explain more than 40% of the variability in Young’ modulus (Table 3). Tensile strength was significantly affected by water content (

*p*-value <0.001) and diameter (

*p*-value = 0.029) when all treatments were considered in the GLM analysis. Similarly, Young’s modulus was significantly affected by water content (

*p*-value <0.001), diameter (

*p*-value = 0.046) and the water content-diameter interaction (

*p*-value <0.001).

Summary of best-fit equations, R^{2} and number of samples (n) for the relations between biomechanical properties (*T*_{r} and *E*_{r}) and root water content (*W*_{C}; Fig. 5)

Biomechanical properties | n | Eq | R |
---|---|---|---|

Tensile strength | 188 |
| 0.30 |

Young’s modulus | 188 |
| 0.44 |

^{−1}. Therefore, tensile strength, calculated from the initial diameter (i.e. before treatment), could substantially differ from that obtained using the final diameter (i.e. after treatment; Fig. 7; Table 4). Indeed, after 5 h drying, the root tensile strength obtained by using root final diameter was significantly different (

*p*-value of Wilcoxon Matched-Pairs test <0.001) from the one calculated with initial diameter. The percentage change in tensile strength due to diameter change (

*ΔT*

_{r}) was significantly affected by initial root diameter (

*p*-value <0.001) and treatment (

*p*-value <0.001), as well as by their interaction (

*p*-value <0.001). Indeed,

*ΔT*

_{r}versus initial diameter relation highlighted negative power trends after 2 h drying (Fig. 7c, d and e). Thin roots showed a notable decrease in diameter and hence increase in calculated strength (Fig. 7). In contrast, larger roots highlighted minor changes in diameter and hence no or minor tensile strength change (Fig. 7). After 5 h drying, tensile strength in thin roots (< 2 mm) increased by up to 162%, while in larger roots the increase was less than 30%.

*ΔT*

_{r}was positively correlated with root water loss (Fig. 8), as expected. For instance, 100%

*ΔT*

_{r}was associated with root water loss ranging between 0.5 and 0.7 g g

^{−1}.

Summary of best-fit equations, R^{2} and number of samples (n) for the relations (Fig. 7) between tensile strength change due to diameter change (*ΔT*_{r}) and root initial diameter (*d*_{i})

Treatment | Eq | R | n |
---|---|---|---|

After 30 min | – | – | 33 |

After 1 h | – | – | 34 |

After 2 h |
| 0.77 | 33 |

After 5 h |
| 0.52 | 36 |

After 24 h |
| 0.69 | 33 |

### Effects of soil water content on root biomechanical properties

^{−1}soil treatment (i.e. 0.23 g g

^{−1}) and a little increase in dry soil, which had a water content equal to 0.01 g g

^{−1}(Table 5). Soil water potential showed extremely negative values in soil with water content of 0.01 g g

^{−1}(i.e. < −70 MPa in dry soil treatment), but did not drop below −1.0 MPa in the other treatments (Table 5).

Summary of soil water content and potential per each soil treatment after 30 days burial of roots

Soil treatment | Soil water content [g g | Soil water potential [-MPa] |
---|---|---|

0.25 g g | 0.23 ± 0.00 | 0.00 ± 0.00 |

0.15 g g | 0.15 ± 0.00 | 0.03 ± 0.03 |

0.09 g g | 0.09 ± 0.00 | 0.87 ± 0.01 |

Dry soil | 0.01 ± 0.00 | 73.17 ± 2.07 |

^{−1}(Fig. 10). However, the roots subjected to the other soil treatments showed only a small change in root water content and the average values did not drop below 1.4 g g

^{−1}(average value of hydrated roots = 1.76 ± 0.02 g g

^{−1}).

Summary of the average tensile strength and Young’s modulus of each treatment. Number of samples (n) is also given. Letters indicate significant differences among treatments, as tested using one-way ANOVA followed by post hoc Tukey’s test. Tensile strength and Young’s modulus data were, respectively, square root and log-transformed in statistical analysis

Treatments | n samples | Average tensile strength [MPa] | Average Young’ modulus [MPa] |
---|---|---|---|

Hydrated roots | 112 | 18.62 ± 0.53 a | 400.94 ± 17.94 a |

0.25 g g | 53 | 15.79 ± 0.98 a | 400.92 ± 30.13 a |

0.15 g g | 49 | 16.68 ± 1.07 a | 441.53 ± 34.85 a |

0.09 g g | 79 | 16.80 ± 0.66 a | 424.40 ± 19.37 a |

Dry soil | 53 | 50.33 ± 3.01 b | 2026.49 ± 149.69 b |

*p*-value of Wilcoxon Matched-Pairs test <0.001; data not shown). Changes in root diameter could affect the calculation of tensile strength, which could notably differ if initial (pre-treatment) or final (post-treatment; e.g. after 30 days in dry soil) diameter was used in the calculation of tensile strength (Eq. 5; Fig. 11). In fact, the decrease in diameter in dry soil treatment could result in an average 80% greater tensile strength (50.7 ± 3.0 MPa) compared with the value calculated from the initial diameter (pre-treatment; 27.9 ± 1.5 MPa) when the roots were hydrated. On the contrary, no or minor changes in tensile strength due to diameter could be observed in other treatments (0.09, 0.15 and 0.25 g g

^{−1}soil W

_{C}; Fig. 11). It must be emphasised that the diameter decrease was not the only factor that caused the increase in tensile strength in dry soil, as result of a calculation effect. Indeed, a 48% greater average tensile strength (27.9 ± 1.5 MPa), compared with the average value of hydrated roots (18.9 ± 0.5 MPa), was measured in dry soil treatment, even when the initial diameter (pre-treatment) was used in the calculations. This greater tensile strength in the dry soil treatment was observed in all diameter classes (Fig. 11) and reflects a greater maximum tensile force at failure.

### Root water release curve

^{−1}). The decrease in water content from 2.3 to 1.0 g g

^{−1}resulted in a decrease (i.e. becoming more negative) in water potential. Subsequently, water potential dropped exponentially as roots lost water further. As roots lost 40% of their initial water content and had a water content of 1 g g

^{−1}, the corresponding root water potential lowered (i.e. more negative) to - 3.0 MPa. It must be highlighted that at −7 to – 8 MPa, roots still retained 20% (0.5 g g

^{−1}) of their initial water content.

### Tensile stress induced by root axial shrinkage

Summary of diameter, maximum induced stress, fitted equation for stress (*S*_{r}) – time (*t*) relation with R^{2}, initial and final water content of each tested root sample (Fig. 13). Initial and final water contents were measured right before and after the test (i.e. after 72 h), respectively. Tensile strength at maximum load and Young’s modulus, measured at the end of the test are also given. Note that tensile strength and Young’s modulus were calculated using the initial diameter before testing

Root | Diameter [mm] | Max stress [MPa] | Fitted equation | R | Initial W | Final W | Tensile strength [MPa] | Young’s modulus [MPa] |
---|---|---|---|---|---|---|---|---|

1 | 1.45 | 3.8 |
| 0.98 | 1.98 | 0.09 | 22.9 | 2126.2 |

2 | 1.53 | 4.7 |
| 0.99 | 1.82 | 0.09 | 38.7 | 3669.5 |

3 | 1.56 | 5.4 |
| 0.99 | 1.46 | 0.09 | 32.7 | 3963.8 |

4 | 1.67 | 4.4 |
| 0.99 | 1.67 | 0.12 | 57.5 | 3893.8 |

5 | 1.68 | 6.5 |
| 0.99 | 1.71 | 0.11 | 41.3 | 3866.8 |

6 | 1.76 | 3.3 |
| 0.98 | 2.22 | 0.10 | 21.1 | 2054.3 |

7 | 1.84 | 4.4 |
| 0.98 | 1.79 | 0.10 | 44.4 | 3160.5 |

8 | 2.17 | 4.7 |
| 0.99 | 2.01 | 0.09 | 37.0 | 3024.6 |

The water content of tested roots (Table 7) substantially decreased from an initial average value of 1.83 ± 0.08 (i.e. at test start) to a final value of 0.10 ± 0.00 g g^{−1} (i.e. at the end of the test). Final water content was consistent with values measured after 30 days in dry soil (Fig. 10). After the 72 h test the tensile strength and Young’s modulus of roots showed average values of 37.0 ± 4.2 MPa and 3219.9 ± 274.7 MPa, respectively (Table 7).

^{−1}) after 24 h test (Table 8). After 24 h test, the tensile strength and Young’s modulus of roots showed average values of 22.5 ± 1.0 MPa and 871.3 ± 191.9 MPa, respectively. The greatest tensile strength (27.9 MPa) and Young’s modulus (2238.3 MPa) values were measured in a 1.03 mm diameter root. Note that the root segment with the lowest final water content had the greatest induced stress, tensile strength and Young’s modulus (Table 8).

Summary of diameter, maximum induced stress, initial and final water content for each tested root sample (Fig. 14). Initial and final water contents were measured right before and after the test (i.e. after 24 h), respectively. Tensile strength at maximum load and Young’s modulus, measured at the end of the test are also given. Note that tensile strength and Young’s modulus were calculated using the initial diameter before testing

Root | Diameter [mm] | Max stress [MPa] | Initial W | Final W | Tensile strength [MPa] | Young’s modulus [MPa] |
---|---|---|---|---|---|---|

1 | 0.97 | 1.0 | 2.12 | 0.36 | 23.8 | 563.9 |

2 | 1.03 | 3.9 | 2.29 | 0.10 | 27.9 | 2238.3 |

3 | 1.45 | 0.9 | 2.20 | 0.48 | 19.5 | 587.7 |

4 | 1.49 | 0.6 | 1.79 | 0.29 | 18.9 | 544.2 |

5 | 1.52 | 0.6 | 1.84 | 0.32 | 22.8 | 563.6 |

6 | 1.53 | 1.5 | 1.46 | 0.18 | – | – |

7 | 1.57 | 0.6 | 2.11 | 0.55 | 25.8 | 527.2 |

8 | 1.76 | 1.6 | 1.60 | 0.32 | 17.9 | 745.6 |

9 | 2.06 | 1.2 | 1.50 | 0.27 | 23.1 | 705.88 |

10 | 2.13 | 1.5 | 1.36 | 0.46 | 22.8 | 1365.7 |

## Discussion

Our study highlighted a remarkable effect of root water status on root biomechanical properties (Figs 1, 2, and 5) as root tensile strength and Young’s modulus both showed abrupt increases when root water content dropped below 0.5 g g^{−1} (Fig. 5). The strength increase was mainly because of changes in root diameter associated with evaporation and reduction in root water potential (Figs. 7 and 8). The amount of water loss and strength increase were both dependent on the initial root diameter. Roots with a smaller diameter would have a larger evaporative surface per volume than thicker roots (Figs. 3 and 4).

### Biomechanical properties of hydrated roots

Root tensile strength and Young’s modulus in hydrated root segments (i.e. no drying treatment or equilibration in soil) averaged 18.0 ± 0.5 and 406.9 ± 15.2 MPa (Figs. 2a, g and 9 a, f), consistently with previous test results on *U. europaeus* growing in a controlled environment (Boldrin et al. 2017a; Liang et al. 2017). Tensile strength of *U. europaeus* was also close to that reported for similar species belonging to the Fabaceae family such as *Spartium Junceoum* (i.e. 17 MPa; Stokes et al. 2008). However, our hydrated roots of *U. europaeus* can be considered weak if compared with the values reported in literature for woody species (e.g. values up to 731 MPa for *Fagus sylvatica* reported by Bischetti et al. (2005)). Similarly, our hydrated roots showed maximum Young’s modulus values of less than 1000 MPa, while based on the relatively limited data available in the literature thin woody roots can have Young’s modulus greater than 3000 MPa (Fan and Su 2008; Mickovski et al. 2009).

### Root drying and biomechanical properties

Root tensile strength and Young’s modulus remained constant with diameter (after treatment) until 5 and 24 h after drying treatments were applied (Fig. 2). Following drying (5 and 24 h), both root strength and modulus were found to exhibit a negative power law relation with diameter (Figs 2e, f and l). The elastic-plastic nature of root stress-strain curve was notably affected by drying (Fig. 1). Dry roots showed smaller strain and plastic range compared with hydrated roots, which had much larger strain (i.e. elongation) and plastic deformation in agreement with the study reported by Yang et al. (2016). Therefore, dry roots may mobilise large resistance closer to soil peak strength. On the contrary, it is likely that hydrated roots reach their peak strength at much larger displacement than soil (Meijer et al. 2018; Mickovski et al. 2009). The observed greater strength and Young’s modulus of dry roots, when compared with moist roots, is in agreement with previous studies (Hales et al. 2013; Hales and Miniat 2017; Kurowski et al. 2018; Yang et al. 2016). Hales and Miniat (2017) found that the strength of dry *Fagus sylvatica* and *Picea sitchensis* roots were 20 and 50% greater than that of hydrated roots, respectively. The drastic increase in Young’s modulus for thinner roots that dry faster was consistent with the results reported by Kurowski et al. (2018) for non-woody roots in compression. Indeed, Kurowski et al. (2018) found an increase in Young’s modulus by a factor of 35 in air-dried roots. In particular, Kurowski et al. (2018) study observed a power law increase in Young’s modulus with a decrease in root cross-section area measured at different times of drying. Moreover, the increase in root Young’s modulus following drying is also in agreement with studies on lignin and hemicellulose (Cousins 1976, 1978), which are the two main chemical components that contribute to mechanical strength of woody roots (Genet et al. 2005; Hathaway and Penny 1975; Zhang et al. 2014). For instance, the Young’s modulus of hemicellulose extracted from *Pinus radiata* wood varies by almost three orders of magnitude in relation to moisture ranging from nearly saturated to nearly dry conditions (Cousins 1978).

Notable increases in tensile strength and Young’s modulus were found also in roots buried in dry soil for 30 days (Figs 9e, j). This is because when the root dried (i.e. equilibrated with surrounding dry soil) and the root water content dropped below about 0.5 g g^{−1}, both the tensile strength and Young’s modulus showed abrupt increases to values exceeding 100 and 5000 MPa, respectively (Fig. 5). On the contrary, the roots subjected to the other soil treatments (i.e. soil water content between 0.25 (≈ field capacity) and 0.09 g g^{−1}) had a final water content greater than 1.0 g g^{−1}. Root water content of 1.0 g g^{−1} or greater had no, or minimal, effect on biomechanical properties (Fig. 9). This could be mainly explained by the water potential gradient between the root and the surrounding soil. Soil water potential of these treatments (i.e. soil W_{C} = between 0.25 and 0.09 g g^{−1}) was ≥ − 1 MPa (Table 5). Therefore, the soil water potential was not negative enough to drive moisture out from the root, as highlighted by the water release curve of *U. europaeus* roots (Fig. 12). Results highlighted that the sandy loam tested in this study does not reach enough negative water potential to cause changes in both root water content and root biomechanical properties except when the soil is dry. However, clay soils would have more negative water potentials for a given water content, when compared with the sandy soil tested in this study. It must be noted that our root sections were not part of a living plant and hence not connected to the low (i.e. more negative) water potential in the atmosphere through the soil-plant-atmosphere continuum as happens in transpiring plants (Nardini et al. 2003; Steudle 2000, 2001; Steudle and Peterson 1998).

### Root shrinkage and strength increase

The increase of root tensile strength can be mainly explained by the decrease of diameter as roots dry (Figs 6, 7 and 8). In our study, root drying induced a diameter decrease (e.g. 30% shrinkage; Fig. 6), which is similarly observed in previous studies for both woody and herbaceous species (Boldrin et al. 2017b; Carminati et al. 2013, 2009; Huck et al. 1970). The small diameter increase (no more than 5%) observed in a few roots after initial water loss (Fig. 6) may be explained by the bark cracking, previously observed also by Yang et al. (2016). However, this small diameter increase was limited to a few roots during early dehydration (i.e. 30 min) and likely to be of negligible importance. Because root strength is calculated by dividing a root breaking force by the corresponding root cross-sectional area (Eq. 5), the increase in strength of dry roots could be a calculation effect of diameter decrease (Figs. 7 and 8). For example, a strength increase by up to 116% was calculated when final diameter (32% diameter shrinkage) was used instead of initial diameter (pre-treatment diameter before root drying). The observed decrease in root diameter and increase in root tensile strength for roots buried in dry soil is in agreement with that reported by Watson et al. (1997) for root strength deterioration after tree death (*Kunzea ericoides*). Watson et al. (1997) observed an increase in root tensile strength suggesting an effect of root moisture loss and consequent decrease in root diameter during the first 12 months from tree death. Strength of roots decreased only after 12 months from tree death due to root tissue decay. Therefore, the present study may provide insights into the effects of soil moisture on root biomechanical properties after tree felling, as root segments buried in soils with different water contents, can closely resemble tree roots after plant death.

### Root diameter dependence of root water loss, shrinkage and strength

In our study, the root water loss, and hence water content, was strongly diameter-dependent due to smaller diameter roots having a faster rate of water loss when compared to larger diameter roots. The diameter dependence of both water loss and water content can be explained by the relation between root evaporative surface and the root water capacitance (i.e. root volume). Indeed, water loss is strongly related to the root area/volume ratio (Fig. 4). As root diameter increases, root area/volume ratio inversely decreases according to root geometry. For example, a 1 mm diameter root has an area/volume ratio equal to four, while a 4 mm diameter root has an area/volume ratio equal to one. The evaporative surface/water capacitance ratio (i.e. area/volume ratio) is commonly recognized as one of the main factors affecting plant water relation in above-ground organs (Mauseth 2000). In particular, Kurowski et al. (2018) showed that non-woody roots dry more or less rapidly depending on the root aspect ratio, calculated as root volume per air-exposed outer surface of the root.

Root shrinkage and strength increase were strongly related to initial root diameter as already observed for root water loss and water content (Figs. 3 and 7; Suppl. Fig. 1). Compared to thick roots, thin roots (< 2 mm) had a faster rate of water loss, greater diameter decrease and hence greater strength increase (Figs 3 and 7). Moreover, the shrinkage of large roots may be limited by a relatively greater volume occupied by heartwood compared with thinner and younger roots where cortex and sapwood are relatively more abundant. Previous observations on stems found a notable change in diameter due to sapwood shrinkage but no change in diameter imputable to heartwood (Irvine and Grace 1997). Therefore, it is reasonable to hypothesise that the diameter dependence of root water loss and hence strength increase is one of the factors that causes high strength variability in small diameter roots and negative diameter versus strength power relation frequently reported in the literature (Ghestem et al. 2014a; Mattia et al. 2005; Mickovski et al. 2009), in addition to factors such as root chemical composition and anatomical development (Boldrin et al. 2017b; Genet et al. 2005; Mao et al. 2018; Zhang et al. 2014).

### Root axial contraction and strength increase as roots dry

Our test results showed that the diameter decrease due to root drying was not the only factor that causes the increase of tensile strength due to the calculation effect. Indeed, the average root tensile strength (27.9 ± 1.5 MPa) in dry soil treatment was higher than that of hydrated roots (18.9 ± 0.5 MPa) even when initial diameter (i.e. pre-treatment) was used in the calculations (Fig. 11). This empirical strength increase (i.e. not resulting from the calculation effect) could be explained by the “axial contraction (i.e. material compression)” of roots during drying. Root drying and the consequent tissue contraction could induce a tensile stress up to 6.5 MPa after 72 h (Fig. 13; Table 7). Roots buried in dry soil for 30 days (Figs. 9 and 11) might be subjected to analogous tissue contraction as these roots had the same final root water content (0.10 g g^{−1}) of roots tested for 72 h in contraction versus time experiment. The low water potential (e.g. < − 3 MPa) developed in drying roots (e.g. W_{C} < 1.0 g g^{−1}; Fig. 12) induced root tissue contraction probably because of high water surface tension and adhesive force between water molecules and root tissues (e.g. xylem walls). The hypothesis of tensile strength increase due to axial contraction of dry roots is supported by the tensile strength of contracted roots (i.e. after 24 and 72 h drying), when calculated using the initial diameter (i.e. no calculation effect due to diameter shrinkage). The average tensile strength of contracted roots (i.e. 22.5 ± 1.0 MPa after 24 h and 37.0 ± 4.2 MPa after 72 h) was greater than that of hydrated roots (18.0 ± 0.5 MPa). Similarly, the average Young’s modulus of contracted roots increased by 2-fold after 24 h (871.3 ± 191.9 MPa) and by 8-fold after 72 h (3219.9 ± 274.7 MPa) compared with hydrated roots (406.9 ± 15.2 MPa). Note that after 24 h drying, the greatest contractive stress (3.9 MPa; Fig. 14), tensile strength at maximum load (27.9 MPa) and Young’s modulus (2238.3 MPa) were measured in the root segment that had the lowest water content (0.10 g g^{−1}; Table 8). The greater root tensile strength and Young’s modulus highlighted that root contraction may mainly occur in tissues that are relevant to biomechanical properties such as fibres and vessels walls in the xylem (i.e. wood). Hales and Miniat (2017) suggested that strength gain in dry roots may be related to the water decrease in cell walls. Indeed, the water accumulated in the cell wall may affect the bonding of organic polymers. Furthermore, it can be hypothesized that during root contraction, structural changes occur in the orientation of the cellulose microfibrils in cell walls and structure of secondary wall thickening in xylem vessels. For instance, cellulose microfibril orientation in cell walls can affect the biomechanical properties of plant material (Burgert 2006; Hathaway and Penny 1975). Moreover, cell wall thickness and thickening patterns may have a major role on the mechanical properties of the xylem (Karam 2005). Contracted root tissues might therefore have enhanced tensile strength and Young’s modulus since more stress is needed to align and stretch the contracted fibrils and fibres in the xylem. Future studies of root anatomical changes upon shrinkage by microscope imaging may offer insights into how microscopic change would drive macroscopic root contraction and biomechanical changes upon root drying. Therefore, the decrease in root water potential (i.e. becoming more negative) can lead to both root diameter decrease and axial contraction of root material, resulting in tensile strength and Young’s modulus increase due to both the calculation and empirical effects. Note that the differences among root samples in the same diameter class, in terms of drying rate, contraction stress and biomechanical properties, may be explained by the inherent variability of biological materials such as tissue composition and development.

The idea that plant water status (e.g. water potential) causes shrinkage in plant roots and stems is widely supported by previous studies (Carminati et al. 2013; Génard et al. 2001; Huck et al. 1970; Irvine and Grace 1997; Lövdahl and Odin 1992; Simonneau et al. 1993; Ueda and Shibata 2001). Irvine and Grace (1997) suggested to use stem diameter change and wood elastic properties to estimate water tension (i.e. water potential) in tree xylem. Previous studies noted that diameter shrinkage due to water potential shows a marked hysteresis (Garnier and Berger 1986; Génard et al. 2001). The hysteresis of diameter, and hence tensile strength, change should be investigated in relation to root pre-test processing such as drying and re-wetting of samples (Bischetti et al. 2005; Hales et al. 2013).

Roots in a living plant are part of the soil-plant-atmosphere continuum, where the water potential in the root xylem should follow closely that of the above-ground organs of the plant (e.g. leaves) that are in contact with the atmosphere. Therefore, our drying roots may approximate the conditions experienced by the roots of an actively transpiring plant during drought periods (e.g. water stressed anisohydric plants). For example, Huck et al. (1970) found that root diameter can shrink up to 40% (compared with maximum diameter) under dry, sunny days. In particular, root tissues shrink by 25% when leaf water potential falls to about – 1.5 MPa (Faiz and Weatherley 1982). Recent studies confirmed root shrinkage in transpiring plants through x-ray tomography (Carminati et al. 2013, 2009). Carminati et al. (2013) showed that root shrinkage during water deficit occurs as a direct consequence of plant water stress (i.e. plant water potential decrease) and then continues to increase in a chain reaction because the reduced hydraulic conductivity at root-soil gaps further enhances plant water stress. Therefore, we can hypothesise that high transpiration is beneficial to slope stability by both hydrologic reinforcement (Boldrin et al. 2017a; Kim et al. 2017; Leung et al. 2014; Leung et al. 2017; Pollen-Bankhead and Simon 2010) and root strength and stiffness enhancement. Further studies are necessary to understand the effects of root diameter shrinkage on the soil-root interface friction as well as the effects of roots contraction on the surrounding soil (e.g. soil compression; subsurface flow).

### Implications to experimental protocols

Our results highlight that great attention should be paid to carefully control (e.g. store in moist environment) or measure root moisture during root sampling, storage and testing, in order to avoid overestimation of root tensile strength due to root drying (e.g. diameter shrinkage). We argue that future testing protocols for root biomechanical properties need to account for the effects of root moisture. Moreover, our test results support the statement made by Hales et al. (2013) that laboratory testing of roots must be performed on fully hydrated roots, which likely represents the root moisture condition during rainfall-induced landslide and a more conservative (i.e. weaker roots) condition for root cohesion estimation and slope stability calculation.

## Conclusions

Our study highlights a large effect of root water status on root biomechanical properties. Both root tensile strength and Young’s modulus showed an abrupt increase when root water content dropped below 0.5 g g^{−1}. In particular, the amounts of root water loss and strength increase were diameter-dependent (e.g. following a negative power relation) because of the relatively larger evaporative surface per volume of small diameter roots. Therefore, root water status may be one of the factors that causes high strength variability in small diameter roots and the negative diameter versus strength power law relation frequently reported in the literature. Abrupt increases in strength and Young’s modulus were also measured in roots buried in dry soil for 30 days. On the contrary, in wetter soils roots did not show any notable effect on diameter and biomechanical properties because the corresponding water potentials of the tested sandy soil were not negative enough to drive moisture out from the root, as highlighted by the root water release curve. The observed strength increase in drier roots can be explained by both root diameter reduction (i.e. shrinkage) upon dehydration and root material axial contraction (i.e. compression) due to water potential drop following drying. We suggest that the root moisture must be accounted in biomechanical testing, where careful control of constant and consistent root water content is desirable across all the root diameter classes being tested. For conservative use in soil bioengineering applications we suggest that protocols of biomechanical testing should be improved to use fully hydrated roots or record water content of material before testing.

This study was performed on root sections excavated from soil for one woody species. Further work is needed to improve the understanding of root drying on biomechanical properties in different species with contrasting root anatomy (e.g. woody vs herbaceous). Moreover, the effect of transpiration and soil drying on root shrinkage and hence root strength in living plants should be investigated.

## Notes

### Acknowledgements

The authors acknowledge funding from the EPSRC (EP/N03287X/1) and EU FP7 Marie Curie Career Integration Grant (CIG) under the project “BioEPIC slope”. The authors thank Kenneth Loades (The James Hutton Institute), Jim McNicol (Biomathematics and Statistic Scotland) and the reviewers Evelyne Kolb and Zhun Mao for helpful comments and advice. Giles Laverack (Scotia Seeds) provided the root material for this study. The James Hutton Institute receives funding from the Scottish Government.

## Supplementary material

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