2.1. Experimental site description
This study was carried out at the alley-cropping experimental site of Ramecourt located 77 km from Lille city in Northern France (50°22’N, 2°17’E) (Andrianarisoa et al. 2019). The climate is oceanic with an average annual temperature of 10.6°C and rainfall of 859 mm, as recorded from 2010–2020 at the Humières weather station situated 6.7 km from Ramecourt. The upper layer soil texture is a silt loam with 73% silt, a pH of 7.9 and an organic matter content of 2.1%. The experimental plot was a randomized block design with three replications. Within each block, the AC plot was compared with sole-crop (CC) and pure-forest (FC) control plots. In November 2018, one-year-old trees were planted in SW‒NE oriented rows spaced from 38 m and 7 m apart in the AC and FC plots, respectively. Within each row, tall trees were planted two by two at 1 m apart, with 8 m between pairs, and were intercalated every 1 m by 9 species of shrubs. The tall trees were Quercus robur (oak), Carpinus betulus (hornbeam), Juglans regia x regia (hybrid walnut), Alnus glutinosa (alder), Prunus avium (wild cherry) and Robinia pseudoacacia (black locust). The shrubs were Castanea sativa (chesnut), Cornus sanguinea (dogwood), Acer campestris (field maple), Euonymus europaeus (European spindle), Corylus avelana (common hazel), Tilia cordata (linden), Ligustrum vulgaris (wild privet), Salix alba (willow) and Viburnum lantana (wayfarer). Details of tree and shrub sequencing within rows in the AC plot are available in Andrianarisoa et al. (2019). In the FC plot, a cover crop of sown Lolium multiflorum (hereinafter referred to as ryegrass or RG) dominated the alleys and was mechanically cut twice a year. When considering only tall trees, the density of plantations was 66 trees ha− 1 and 357 trees ha− 1 in the AC and FC plots, respectively. In the CC and AC alleys, winter wheat (variety ‘Extase’) was sown in October 2020 following a previous chicory witloof crop and was harvested in August 2021.
2.2. Tree and crop fine root abundance and biomass measurements
Three tree species with contrasting growth rates—hornbeam, wild cherry and willow—were selected from the AC and FC plots. The willow grew faster and was taller than the other species except in the FC plot, where its growth was not significantly different from that of the other species (Table 1). In 2021, the tree height was on average 2.7 ± 0.7 m. In the AC plot, the tree height was significantly higher for willow (4.9 ± 0.3 m) than for wild cherry (3 ± 0.3 m) and hornbeam (2.3 ± 0.3 m). The growth rate was the same for all tree species in the FC plot, whereas it was significantly higher for willow (130 ± 30 cm y− 1) than for wild cherry (80 ± 20 cm y− 1) and hornbeam (60 ± 10 cm y− 1) in the AC plot (Table 1).
Table 1
Height (m) and growth rate (m y− 1) of the reference tree species used for fine root measurements. Data are means (± SD). Letters are Tukey’s test results for multiple comparisons between tree species.
| Height (m) | | | Growth rate (m y− 1) | |
Tree species | AC | FC | #p value | | AC | FC | #p value |
Hornbeam | 2.3 (± 0.3) a | 1.9 (± 0.2) a’ | ns | | 0.6 (± 0.1) a | 0.4 (± 0.1) a’ | 0.04 |
Wild cherry | 3 (± 0.4) a | 2.1 (± 0.1) a’ | < 0.001 | | 0.8 (± 0.2) a | 0.4 (± 0.05) a’ | < 0.001 |
Willow | 4.9 (± 0.3) b | 2.9 (± 0.3) b’ | < 0.001 | | 1.3 (± 0.03) b | 0.4 (± 0.1) a’ | < 0.001 |
Mean | 3.2 (± 1.1) | 2.4 (± 0.5) | 0.008 | | 0.8 (± 0.3) | 0.5 (± 0.2) | < 0.001 |
# For a given tree species, p values < 0.05 indicate a significant difference between AC and FC. ‘ns’ indicates not significant. |
Tree and crop fine root abundance and biomass were measured using “core break” and “soil coring” methods, respectively (van Noordwijk et al. 2001). Soil coring was carried out in November 2021. Soil cores down to a 1.2 m depth were collected 2 m from a reference tree using a portable electric core drill consisting of a gouge (60 cm length and 85 mm diameter) connected to an electrical percussion hammer (BOSCH GSH 27 VC, Apageo). In each block, two soil cores were collected per tree species in the AC plot but only one per tree species in the FC plot because of the small size of the plot. In the CC plot, two soil cores were extracted in each block in an area randomly chosen in the middle of the plot. Each 1.2 m soil core was divided into 0.2 m long subcores. Each subcore was broken by hand, close to the middle, and the number of living fine roots (diameter < 2 mm) visible on both horizontal surfaces was counted. The crop root assessment was achieved by means of the soil core collected in the CC plot, whereas those for trees were carried out from the soil core taken at the bottom of the trunk. For the RG, the counter was further trained to recognize fine roots by uprooting some plants taken in the middle of the FC alley. In comparison with crops, tree roots were more lignified, hairy and often brownish. Despite our identification experience, tree root counts might have been slightly overestimated in rows due to the presence of weeds in the AC plots. A single person carried out root counting for all samples to avoid bias from the counter. The mean of the number of fine roots counted on both sides of each subcore was expressed on a square meter basis and was called tree fine root abundance (TFRA; m− 2), wheat fine root abundance (WFRA, m− 2) or ryegrass fine root abundance (RGFRA). All subcores were recovered, transported to the laboratory and stored at 4°C.
In the laboratory, fine roots within each subcore were manually collected, sorted according to their affiliation (trees, crops, RG and weeds), dried (65°C, 48 h), cleaned and weighed for biomass measurement. Tree, crop, RG and total fine root biomass, hereafter referred to as TFRB, WFRB, RGFRB and TTFRB, respectively, were expressed in kilograms of dry matter per hectare (kg DM ha− 1). For a given soil depth, the percentage of tree or wheat fine root biomass and the root equivalent ratio (RER) were calculated according to the following formulae:
\({\%TFRB}_{i}=\frac{{TFRB}_{i}*100}{\left({TTFRB}_{i}\right)}\) (Eq. 1)
\({\%WFRB}_{i}=\frac{{WFRB}_{i}*100}{\left({TTFRB}_{i}\right)}\) (Eq. 2)
\(RER \left(i\right)=\frac{{TFRB}_{AC\left(i\right)}}{{TFRB}_{FC\left(i\right)}} + \frac{{WFRB}_{AC\left(i\right)}}{{WFRB}_{CC\left(i\right)}}\) (Eq. 3)
where i is the depth of the measurement and TFRBAC(i), WFRBAC(i), TFRBFC(i) and WFRBCC(i) are TFRB and WFRB in the AC, FC and CC plots at depth (i).
2.3. Statistical analyses
The variability of tree height and growth rate was analyzed using two-way ANOVAs, with the tree species or the type of system as explanatory variables together with the block, followed by a post hoc Tukey’s test.
For comparisons, our studied individuals were designated as follows: (i) the wheat in the CC and AC plots were referenced as Wheat-CC and Wheat-AC, respectively; (ii) the wheat close to alder, hornbeam or wild cherry in the AC plot was renamed Wheat-AC-Alder, Wheat-AC-Hornbeam and Wheat-AC-Wild cherry, respectively.
Two-way ANOVAs were performed to analyze the variability of the TFRA with the soil depth and the block as explanatory variables. A post hoc Tukey’s test was performed for each ANOVA. For fine root abundance, the comparison between the AC and CC plots for wheat and between the AC and FC plots for trees was performed using Student’s t test. A Kruskal–Wallis test was used to analyze the wheat and RG fine root abundance and the wheat, tree and RG fine root biomass variability according to the soil depth or the associated plant species or the type of system. This was followed by post hoc Mann–Whitney tests because the normality of the ANOVA residuals model was not confirmed. The comparison between Wheat-AC and Wheat-CC for the WFRB and between the AC and FC plots for the TFRB was performed using a Mann‒Whitney test. Finally, a Kruskal–Wallis test was used to analyze the TFRA and TFRB variation according to the tree species, followed by a Dunn's multiple comparisons test (p < 0.1). The WFRA and WFRB were analyzed with a two-way ANOVA with the associated tree species and the block as explanatory variables, followed by a post hoc Tukey’s test.
Correlation analysis was performed between the TFRA and TFRB for each tree species, and a second-degree polynomial equation was calculated between the WFRA and WFRB. Finally, the model proposed by van Noordwijk et al. (2001) was used to estimate the tree fine root biomass using TFRA, according to Eq. 4:
\(Simulated TFRB \left(kg {DM ha}^{-1}\right)=\left[\frac{10\text{*}\left(0.002\text{*}\text{X}\text{*}\text{T}\text{F}\text{R}\text{A}\text{*}h\right)}{\text{S}\text{R}\text{L}}\right]*1000\) (Eq. 4)
where h is the height of the subsoil core in m (h = 0.2 m); SRL is the specific root length of the tree species (SRL = 15 m g− 1 for the hornbeam (Kubisch et al. 2015); SRL = 27 m g− 1, for the wild cherry (Weemstra et al., 2020) and SRL = 66.8 m g− 1 for the willow (McIvor et al., 2014; Weemstra et al., 2020)) and X is a calibration factor depending on tree species. This factor was calculated using a nonlinear generalized reduced gradient with an Excel solver. The retained X value was the one that minimized the root mean square error (RMSE) between the simulated TRFB and observed TFRB according to the following formula:
\(RMSE \left(kg {DM ha}^{-1}\right)= \sqrt{\frac{1}{n}\sum _{i=1}^{n}{\left({Simulated TFRB}_{i}-{Observed TFRB}_{i}\right)}^{2}}\) (Eq. 5)
where n is the number of observed values.
The efficiency of the retained model was calculated with the following formula:
\(EF=1-\frac{\sum _{i=1}^{n}{\left({Simulated TFRB}_{i}-{Observed TFRB}_{i}\right)}^{2}}{\sum _{i=1}^{n}{\left({<Observed TFRB}_{i}>-{Observed TFRB}_{i}\right)}^{2}}\) (Eq. 6)
where < Observed TFRBi > is the mean value of Observed TFRBi.
For all the regression analyses, asterisks indicate a significant determination coefficient: *** for p < 0.001, ** for p < 0.01 and * for p < 0.05 level.