Tree Physiology 19, 125--130 © 1999 Heron Publishing----Victoria, Canada Mapping tree root systems with ground-penetrating radar JIRI HRUSKA,1 JAN CERMÁK2,3 and SVATOPLUK SUSTEK2 1 Geofyzka a.s., Division of General Geophysics, Jecna 29a, P.O. Box 62, 61246 Brno, Czech Republic 2 Institute of Forest Ecology, Mendel University of Agriculture and Forestry, Zemedelska 3, 61300 Brno, Czech Republic 3 Author to whom correspndence should be addressed Received June 6, 1997 Summary A ground-penetrating radar (GPR) technique was used to study the three-dimensional distribution of root systems of large (DBH = 14 to 35 cm) oak trees (Quercus petraea (Mattusch.) Liebl.) in relatively dry, luvisoil on loamy deluvium and weathered granodiorite. We used a pulse EKKO 1000 GPR system, a profile grid of 0.25 × 0.25 meters, at 0.05 m intervals, and a signal frequency of 450 MHz, to assure resolution of about 3 cm in both directions (further increases in resolution up to 1 cm are possible with the system). Coarse root density was 6.5 m m −2 of stand area and 3.3 m m −3 of soil volume. Maximum rooting depth of the experimental oaks was 2 m, and the root ground plan was significantly larger (about 1.5 times) than the crown ground plan. Based on earlier studies of Quercus robur L. from floodplain forests, where the extent of the root systems was much smaller (root ground plan:crown ground plan ratio of 0.6), we conclude that the high root ground plan:crown ground plan ratio indicates less favorable conditions of water supply at the experimental site than in the floodplain forest. The ground-penetrating radar system is noninvasive and allows relatively rapid and repeated measurements of the distribution of coarse root systems of trees. Keywords: forest stands, ground-penetrating radar, large trees, Quercus, root skeleton, three-dimensional distribution. Introduction Various methods have been used to study root systems of plants (Zygurovskaya 1958, Reijmerink 1964, Schuurman and Goedwaagen 1965, Melhuish 1968, Bohm 1979, Cappy and Brown 1980, Vogt and Persson 1991). Studies of large trees are more complicated because their root systems are large and complex and include thin absorbing roots as well as coarse roots (Kolesnikov 1962, Jenik and Sen 1964, Sutton and Tinus 1983). Coarse tree roots are usually analyzed by archeological methods, i.e., by excavating root systems from soils (Jenik 1957, 1967, 1978, Kutschera 1960, Kolesnikov 1972, Vyskot 1976, Santantonio et al. 1977, Kasyanenko 1980, Carlson et al. 1988). Fine roots have been studied by sequential soil core sampling techniques, and by using root-free ingrowth cores (McQueen 1968, Persson 1983, Vogt et al. 1987, Persson et al. 1990). The disadvantage of all excavation methods is that they are destructive, and core sampling precludes study of entire tree root systems. Several kinds of nondestructive methods (radioactive tracers, combining soil water content and sap flow) have been used to estimate the extent and depth of root systems of forest trees (Woods 1969, Cermák et al. 1980, Cermák and Kucera 1990). The limitation of these methods is that they provide little or no resolution of root structure. Ground-penetrating radar has proved useful in several archeological studies (Cammarano and Piro 1997) including some studies that focused on tree roots (Papamarinopoulos et al. 1997). We undertook a study to determine whether the technique is sensitive enough to be used for mapping tree root systems in forest stands. Materials and methods Experimental site The experimental stand is located on a small plain near the middle of a wide ridge dividing two small watersheds near Sobesice, north of the city of Brno, at an altitude of 360 m. The luvisoil is on loamy deluvium and weathered granodiorite. The shallow surface horizon (5 to 7 cm), which is rich in humus, overlies yellow-brown loamy soil (down to 30 cm) and loamy to clayish red-brown soil (down to 75 cm). Weathered granodiorite occurs below 115 cm. The soil, which was well supplied with nutrients, had a pH (H2O) at the surface of 7.1, and a pH of 5.0 in the deeper layers. The clay fraction in the surface layers decreased with depth from 19 to 9%. There is no underground water available. The forest site is classified as Carpineto--Quercetum with typical herbaceous species Poa nemoralis L., Poa pratensis L. ssp. angustifolia, Brachypodium sylvaticum (Huds.) p. Beauv. and Festuca heterophylla L. with admixture of thermophillous and oligotrophic species. Long-term mean annual temperature is 7.8 °C and annual precipitation is 583 mm (360 mm falling during the growing season) (Vasicek 1984). Forest stand and sample trees The stand was composed mostly of 50-year-old oak (Quercus petraea (Mattusch.) Liebl.) trees with a few trees about 100 years old. Maximum stand height was 18 m with a basal area of 37.9 m ha −1. An experimental square plot (6 × 6 m) was chosen comprising two sample trees, approximately repre- 126 HRUSKA, CERMÁK AND SUSTEK senting the range of tree sizes in the stand. The main biometric parameters of the two sample trees are given in Table 1. In addition to the sample trees, there was one small fresh stump and two old mostly decomposed stumps within the experimental square. Crown ground plan (crown area projected on the ground surface) was measured geodetically. Crown volume, which was taken to be ellipsoid, was calculated from crown length and radius. Ground-penetrating radar measurement Ground-penetrating radar (georadar, GPR) measurements are made on a profile line or system of lines. A transmitter and a receiver of the signal are situated on the line of the profile to be investigated (Figure 1). Their distance, configuration and step of measurement depend on the nature, size and depth of the objects to be investigated. Electromagnetic waves are used as a signal. The choice of frequency is influenced by the nature of material being investigated. The transmitted signal, received back after being reflected from the underground bodies on a profile (the cross section of underground space) is digitized and displayed on a computer screen. All of the georadar cross lines are gradually displayed. The file of acquired data is processed with standard geophysical signal processing software. The processing system makes it possible to highlight certain parts of the cross section under study, while suppressing other parts. The resulting profiles give a picture characterizing the exact position of underground bodies with respect to the depth in the cross section and their relation relative to other objects lying above and below. The profiles also trace the position of strata and their boundaries. Examples of boundaries include contacting surfaces of different materials, strata surfaces, and various local bodies, such as cables, pipes, stones and roots. Depth of penetration by GPR is influenced by the choice of the frequency, because waves with lower frequency penetrate deeper. In principle, depth of penetration depends on the geological composition of the section, namely on the attenuation coefficient of electromagnetic waves in the rock strata. Penetration depth can reach tens of meters under suitable conditions but it may be less than several meters under unfavorable conditions. Resolution increases with the increase in signal frequency. For low frequencies (wavelength in meters), resolution is in the order of meters, whereas for the highest frequencies (wavelength in millimeters) resolution is in millimeters. The accuracy of detection of body position depends on the measurement step, and on the depth and density of signal sampling. In the present study, ground-penetrating radar measurements were made in two directions within a 6 by 6 m square, with a 0.25 × 0.25 m profile grid, at 0.05 m intervals, and a signal frequency of 450 MHz. A pulse EKKO 1000 GPR system was used (Sensors and Software Inc., Mississauga, Ontario, Canada). Altogether 300 m of lines were scanned on 50 profiles. Software packages Ekko Tools 42 (Sensors and Software Inc., Mississauga, Ontario, Canada) and Reflex 3 (K.J. Sandmeier, Karlsruhe, Germany) were used for signal processing and evaluation. Both packages are standard geophysical (i.e., georadar and seismic) signal processing packages. A procedure called migration was performed on the signal files after signal amplification and noise reduction, by which scattered signal energy was traced back to its sources (i.e., the roots). By this means, anomalous signal sources were removed, making individual roots visible. This procedure served as a basis for further processing, which consisted in making correlations between lines. In the next step, the root system of the large oak tree was analyzed in detail by applying depth correlations of georadar indications from single profiles to develop a three-dimensional picture of the root system. Root length was estimated with the DIPS image analysis system (Brno, Czech Republic). A complete field investigation of the Figure 1. Schematic illustration of ground-penetrating radar detection of local underground anomalies as specific objects or interfaces. Recorded position of the antenna and travel time of pulses shown in lower part of figure are main input data for the GPR system. Table 1. Main biometric parameters of oak trees at the experimental plot. (Abbreviation: DBH = diameter at breast height.) Sample tree DBH (cm) Basal area (cm2) Tree height (m) Crown radius (m) Crown length (m) Crown projected area (m2) Crown volume (m3) Timber volume (m3) Large Small 35.2 13.9 984 152 17.6 15.2 2.7 1.2 7.8 6.2 22.5 4.4 117.3 18.4 0.939 0.109 TREE PHYSIOLOGY VOLUME 19, 1999 MAPPING ROOT SYSTEMS WITH PENETRATING RADAR area took about 6 h, and data evaluation took about 30 h (that is, complete mapping of the experimental plot was done within a week). Additionally, the root system was excavated and photographed and root lengths and diameters were measured to verify the radar data. Results and discussion Measurement with GPR Samples of georadar profiles after initial signal processing are shown in Figure 2. Numerous manifestations of roots of several individual trees were observed in the primary records. The presence of several different root systems complicated the evaluation of the data; however, this difficulty allowed us to assess the powers of detection and discrimination of the GPR system and its associated software. Other belowground objects (e.g., stones) did not seriously hamper evaluation of the roots. Under the conditions used, the resolution of the GPR system was sufficient to separate roots that were 3 to 4 cm in diameter. Diameters of roots detected by the GPR system corresponded to measured diameters of excavated roots with an error of between 1 and 2 cm. The GPR system determined the length of individual roots, from stem to the smallest detectable width, with an error of about 0.2 to 0.3 dm. Applying higher frequencies together with smaller measurement intervals improved the resolution and accuracy to less than 1 cm (data not shown). 127 Root system of oak trees The ground plan picture of oak root systems showed a relatively sparse network of coarse roots (Figure 3). Root planar density and root spatial density expressed as root length per unit of area and per unit of rooted volume of the experimental plot, respectively, are presented in Table 2. In addition to the root system of the main sample tree, roots of the second minor tree and the remains of two root systems belonging to the two rotten stumps were distinguished in the sample plot. In addition, root systems of some nearby trees growing outside the experimental plot penetrated the area. The main biometric data for root system size compared to crown size for the two experimental trees (%cr ) are given in the Table 3. In both trees, the root system ground plan radius (calculated as the mean of the radii of the longest coarse roots in eight directions including length outside the ground plan shown in Figure 3. Ground plan view of all tree root systems at the experimental plot. Length of roots per stand area is visible, where numbers characterize measured profiles (PF). Old decomposed stumps are marked white. Table 2. Planar density and spatial density of oak tree root systems at the experimental plot. Figure 2. Ground penetrating radar profiles (1 to 3) at the experimental plot with numerous tree root indications. Recorded time is converted to depth. Root planar density (m m −2) Root spatial density (m m −3) Living Dead Total Living Dead Total 5.4 1.1 6.5 2.7 0.6 3.3 TREE PHYSIOLOGY ON-LINE at http://www.heronpublishing.com 128 HRUSKA, CERMÁK AND SUSTEK Table 3. Main biometric data of oak tree root systems at the experimental plot. Sample tree Large Small Root length Mean root density −2 Mean root radius −3 Root ground plan area Rooted volume (m) Planar (m m ) Spatial (m m ) (m) (%cr) (m ) (%cr) (m3) (%cr) 82 21 2.32 2.80 1.16 (1.75) 3.35 1.55 125 130 35.3 7.5 157 170 70.6 6.6 60 36 Figure 3) was about 10 times the stem diameter (± 10%). Relative to stem diameter, oak roots can be longer than this under certain soil conditions (Jenik 1957); for example, Kutschera (1960) found more extensive root systems in oak trees growing on fluvial gravel. Enlargement of a large oak root system was observed in sandy loam soil in response to drought (Cermák et al. 1981, 1986). Radar scanning provided a three-dimensional picture of the root systems. Figure 4 shows a ground plan, as well as a front and side view of the root system of the large sample tree. The main horizonal, heart and tap roots are also visible. The data indicate a maximum rooting depth of 2 m at a mean coarse root spatial density (expressed as root length per unit volume) of about 1.2 m m −3. There were no large roots between the soil surface and a depth of 0.2 m belowground or in the subsoil below 2.2 m. The vertical distribution of root spatial density sharply increased with soil depth below 0.2 m and reached a maximum at about 1.6 m. Below this depth, root density gradually decreased to zero (Figure 5). The radial distribution of root spatial density of the oak trees (i.e., root distances from the stem) is represented by a curve in Figure 6. The maximum number of large roots occurred at a distance from the stem equal to about 56% of crown radius (Figure 6). This pattern 2 differed from that in shallow-rooting species such as spruce (Henderson et al. 1983), although variation in coarse root system distribution in trees of different species is large (Strong and La Roi 1983). Based on the mean diameter of large roots visible on the records, which was about 5 cm, coarse root surface area was about 13 m2, coarse root area index was about 0.37, and root volume was about 0.16 m3. Given the resolution of the GPR, these values are only useful for comparative Figure 5. Vertical distribution of roots of the large experimental oak tree (total length of coarse roots is about 82 m). Coarse root distribution is approximated by the equation: y = a(b − x)exp((−(b − x)c)/d ); r 2 = 0.96; a = 14.2; b = 2.25; c = 6.22; and d = 25.4. Figure 4. Ground plan, front, and side views of the root system of the large experimental oak tree. Figure 6. Radial distribution of roots of experimental oak trees, east-west and south--north cross sections were evaluated (total length of coarse roots is about 82 m). Radial distribution is approximated by the equation: ; y = a(b − x)cexp(−d(b − x)2); r 2 = 0.96; a = 6.53; b = 3.25; c = 0.51; and d = 0.0735. TREE PHYSIOLOGY VOLUME 19, 1999 MAPPING ROOT SYSTEMS WITH PENETRATING RADAR purposes, because total absorbing root area index was substantially higher than the measured coarse root area index. Maximum root density occurs in the middle layer of fertile soils of floodplain forests and in deep loamy soils, whereas oak roots usually develop a deep bell-like root system with maximum root density close to the surface in nutrient-poor soils (Jenik 1957). Compared with first-order coarse roots, lateral roots of the experimental oaks reached similar depths at different distances from the stem indicating that the layer of weathered granodiorite below 2 m is well drained and does not hold water or nutrients penetrating from the upper horizons. Not all of the soil below the tree crown contained roots, even though root systems of neighboring trees overlapped by about 70%; however, there appeared to be no large pockets of soil free of coarse tree roots when the entire stand was considered (i.e., including roots of neighbor trees), indicating that roots were distributed rather uniformly in the soil (the distribution is even more uniform when both coarse roots and fine absorption roots are considered; Persson et al. 1990). In contrast, a large proportion of soil between trees is void of tree roots at sites with supra-optimal plant water supply and a high water table (e.g., in floodplain forests, where root systems are small relative to crowns, and reach only about 60% of the crown projected area; Jenik 1957, Vyskot 1976). At such sites, root-free soil in direct contact with underground water represents significant storage for stand water balance such that the stand is only partially dependent on water from precipitation (Cermák and Prax 1999). In the experimental stand with no belowground water, where available soil water and root density have significant effects on actual and potential transpiration relationships (Stewart et al. 1985), the root systems were extensive, allowing the trees to survive on water derived from precipitation only. Conclusions Ground-penetrating radar measurement as a method of mapping tree roots has several advantages over other methods. (1) It is capable of scanning root systems of large trees under field conditions in a short time. (2) It does not disturb soils or damage the trees examined and causes no harm to the environment. (3) Being noninvasive, it allows repeated measurements that reveal long-term root system development. 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