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SOIL BIOLOGY
Migration behaviour of fluoride in contaminated soils near ammophos production plant: laboratory studies
Andrey Litvinovich1, Olga Pavlova1, Anton Lavrishchev2, Vladimir Bure13, and Elmira Saljnikov45
1Agrophysical Research Institute, Grazhdanskii Ave., 14, Saint Petersburg, 195220, Russian Federation
2Saint Petersburg State Agrarian University, Peterburgskoe Road, 2, Saint Petersburg, 196601, Russian Federation
3Saint Petersburg State University, Universitetskaya nab., 7-9, Saint Petersburg, 199034, Russian Federation
4Soil Science Institute, Teodora Drajzera 7, Belgrade, 11000, Serbia
5Mitscherlich Akademie für Bodenfruchtbarkeit (MITAK), GmbH, 14641, Paulinenaue,
Prof.-Mitscherlich-Alle 1, Germany
Address correspondence and requests for materials to Anton Lavrishchev, av.lavrishchev@yandex.ru
Abstract
Citation: Litvinovich, A., Pavlova, O., Lavrishchev, A., Bure, V., and Saljnikov, E. 2019. Migration behaviour of fluoride in contaminated soils near ammophos production plant: laboratory studies. Bio. Comm. 64(4): 270-278. https://doi. org/10.21638/spbu03.2019.406
Author's information: Andrey Litvinovich, Dr. of Sci. in Agricultural Sciences, Professor, orcid.org/0000-0002-4580-1974; Olga Pavlova, PhD, Senior Researcher, orcid.org/0000-0001-5378-007X; Anton Lavrishchev, Dr. of Sci. in Agricultural Sciences, Associate Professor, orcid. org/0000-0003-3086-2608; Vladimir Bure, Dr. of Sci. in Technical Sciences, Professor, orcid.org/0000-0001-7018-4667; Elmira Saljnikov, PhD, Principal Research Fellow, orcid.org/0000-0002-6497-2066
Manuscript Editor: Evgeny Abakumov, Department of Applied Ecology, Faculty of Biology, Saint Petersburg State University, Saint Petersburg, Russia
Received: July 5, 2019;
Revised: September 16, 2019;
Accepted: September 24, 2019;
Copyright: © 2019 Litvinovich et al. This is an open-access article distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution, and self-archiving free of charge.
Funding: Part of the research was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia (Grant no. TR 37006).
Competing interests: The authors have declared that no competing interests exist.
Fluoride contamination of irrigated alkaline soils (Irragric Anthrosols) is a common problem in the areas of vast cotton production in Uzbekistan. Large number of laboratory measurements using corresponding models allows deeper studying the fluoride mobility in contaminated soil in the vicinity of Ammophos production factory. In a series of column experiments the migration ability of fluoride was studied in Irragric Anthrosols of different particle size distribution and four different experiments using near neutral and acidic washing water in the low, moderate and highly contaminated soils. It has been established that studied soils, located in the zone of airborne emissions from the Ammophos production plants, have a weak fluoride-holding capacity. The intensity of fluoride migration was conditioned by the initial level of soil contamination. Repeated simulated irrigation of the soil didn't result in complete removal of fluoride. At low contamination level (3.5 mg F/kg soil) on sandy-loam soil, concentration of fluoride increased with increasing of the volume of leaching moisture. With medium contamination level (6.1 mg F/kg soil) on a loamy soil, the average leaching rate was near zero throughout the measurement interval. At high contamination level (17.5 mg/kg) on heavy textured soil, the increase in the concentration of fluoride in the eluates was observed throughout the entire study interval and posed a threat of ground water contamination. Keywords: soil contamination, fluoride, migration, irrigation, modelling.
1. Introduction
Fluoride is considered a toxic element for plants and animals if found in soils in high concentrations (Rezaei et al., 2017).The main anthropogenic sources of soil pollution by fluoride are plants for the production of aluminum and steel, phosphate fertilizers, and cement and brick factories. Agronomic practices such as irrigation and application of fertilizer also lead to high fluoride content in soil (Brindha et al., 2011), which results in fluoride entering aquifers through natural leaching processes.
Previous studies established that once in the soil, fluoride is quite quickly fixed by the soil absorbing complex. It has been found that the pH and grain size of the soil, initial fluoride concentration in clay minerals, and salinity are the factors responsible for the adsorption-desorption process of fluoride in clay minerals (Huangand Jackson, 1965; Bower and Hatcher, 1967; Marion, Henricks,
Dutt and Fuller, 1976; Dubrovina and Kornblum, 1984; Sivasankar et al., 2016; Murugesh et al., 2016). Ilkun and Mutruk (1976) showed that with an increase in the content of silt and colloidal fractions, the ability of soils to retain fluoride rapidly increased. In the experiments of Huang and Jackson (1965), quartz turned out to be practically inert to the action of fluoride potassium (KF), indicating that fluoride-retaining capacity depends on the grain size and chemical composition of the soil.
To date, the literature has sufficiently covered fluoride behaviour in the soil-plant system (Pickering, 1985; Elrashidi and Lindsay, 1986; Semendyaeva et al., 1988 Litvinovich et al., 2001; Litvinovich and Pavlova, 2002 Mirlean and Roisenberg, 2007; Jha et al., 2009; Mourad et al., 2009; Tayibi et al., 2009; Pérez-Lopez et al., 2010; Smidt et al., 2011; Lakshmi et al., 2016; Savenko and Savenko, 2019). However, insufficient research has been done on fluoride migration in alkaline soil (Ilkun and Motruk, 1976; Litvinovich et al., 1999; Poulsen, 2011), and publications on mathematical modelling of fluoride migration are scarce (Frid and Borisochkina, 2019).
Savasankar et al. (2016) reported that at elevated alkalinity, the presence of OH sites in biotite, mica, clay, and similar other minerals is most likely to be replaced with F, and their further dissolution might result in remarkable fluoride concentrations in water sources. Ka-bata-Pendias and Mukherjee (2007) found that in calcium-rich soils, fluoride reacts with calcium and forms the poorly soluble compound CaF2 (fluorite); therefore, the calcium geochemical barrier is important for in-tra-and inter-soil migration of fluoride (Rezaei et al., 2017). Another group of authors reported that alkaline soils have a weak ability to retain fluoride (Kudzin and Pashova, 1970).
The territory of Uzbekistan is one of the biggest world cotton production areas, where cotton is mostly grown on alkaline Irragric Anthrosols soil (WRB, 2015). Cotton grown on calcareous and alkaline soils is repeatedly fertilized and irrigated (Abdullaev et al., 2007; Djanibekov et al., 2010), which causes certain chemical and mechanical changes in the behavior of fluoride in contaminated soils. Kabata-Pendias and Mukherjee (2007) found that fluoride from artificial sources is easily soluble, but the majority of it quickly disappears from a soil solution due to bonding to some soil components such as clay, Ca, P and Al, or due to the leaching process in sandy soils.
The goals of this research included studying the effect of technogenic contamination of Irragric Anthro-sols with water-soluble fluoride and its migration under repeated soil washing with different initial contamination levels and with different soil textures; to determine the intensity of fluoride leaching at different pH levels of irrigation waters; to establish the average rate of change in the concentration of fluoride; to develop empirical
models describing the fluoride leaching process from irrigated soils of different levels of contamination.
2. Materials and Methods
Soils from three different locations were sampled from the zones of airborne emissions from two large ammo-phos production plants located in Uzbekistan. The soils were brought to the laboratory of the Agrophysical Research Institute in St. Petersburg, Russia, where a series of column experiments were set up. The sampled soils from the cotton field differed in particle size distribution and the level of contamination with fluoride. Soils with different granulometric composition and level of fluorine contamination were deliberately selected for research in order to determine the impact of these factors on the migration ability of fluorine.
During the growing season cotton fields are irrigated six to eight times with the amount of water that allows soaking one meter of soil depth (Abdullaev et al., 2007), which provides multiple percolation of the arable layer during one cotton growing season. In our experiments six to eight washings were carried out to study the intensity of fluorine migration.
The first site was located in West Fergana, in the city of Kokand, 3.5 km from an ammophos factory that has been operating since 1983. Soil was sampled from the 0-25 cm layer. At the time of soil sampling, 8655 tons of fluoride compounds were released into the atmosphere in 7 years (1983-1990). The soil was sandy loam; fluoride content was 3.56 mg/kg of soil weight. Chemical composition of the soil is given in Table 1. Soil from this site was used to study the effect of the acidity of washwater on the migration of fluoride in two experiments: with deionized water (pH 6.2) (Experiments No. 1, 3 and 4) and with water with pH 3.5 (Experiment No. 2). In the second experiment, the pH level of the atmospheric precipitation near the site was simulated. To achieve the desired pH, deionized water was acidified with H2SO4. The water used in experiments didn't contain fluorine. The pH was determined in each eluate.
The second site was located directly on the industrial sites of the Samarkand chemical plant. The soil was light loam; fluoride content was 6.1 mg/kg of soil weight. Soils from Sites 2 and 3 were used to establish the scale of migration of fluoride from loamy soils of various levels of pollution (Experiment No. 3).
The third site was located in the Samarkand Oasis, which occupies the third level terrace of the middle part of the Zeravshan River, 0.6 km from the pollution source. The Samarkand chemical plant started its operation in 1954, producing superphosphate. Later in 1977 it was converted to the production of ammophos. At the time of soil sampling, according to the factory sanitary laboratory, 34472.6 tons of fluoride compounds were re-
Table 1. Chemical composition of Irragric Anthrosols (Sierozem-oasis soils), %
Particles < Al2O3
0.01 mm Humus pHH2O SiO2 Fe2O3 CaO MgO K2O MnO Na2O P2O5
Sandy-loam soil, 3.5 km from the Novo-Kokand chemical plant
15.7 0.90 ± 8.1 57.50 ± 10.90 ± 4.61 ± 9.53 ± 2.51 ± 1.80 ± 0.07 ± 1.72 ± 0.24 ±
0.1 2.5 0.6 0.1 1.1 0.2 0.1 0.01 0.3 0.02
Light-loam soil, the industrial territory of Samarkand chemical plant
1.00 ± 54.57 ± 12.19 ± 5.03 ± 9.5 ± 2.7 ± 1.92 ± 0.08 ± 1.8 ± 0.23 ±
0.2 3.6 0.5 0.3 1.4 0.3 0.2 0.01 0.4 0.05
Heavy-loam soil, 0.6 km from the Samarkand chemical plant
50.4 1.05 ± 7.8 57.02 ± 11.36 ± 4.57 ± 8.67 ± 3.13 ± 1.85 ± 0.06 ± 1.72 ± 0.23 ±
0.1 1.5 0.4 0.4 1.0 0.1 0.3 0.01 0.4 0.05
Table 2. Fluorine concentration in the eluates of studied soils, mg/dm3
Washing terms Soil, no. experiment
Arable sandy-loam soil Light-loam from industrial zone Arable heavy-loam
Irrigated with water pH 6.2 Irrigated with water pH 3.5
Experiment no 1 Experiment no 2 Experiment no 3 Experiment no 4
1 3.90at ± 0.21 0.49a 4.98b ± 0.31 0.62b 4.99b ± 0.29 0.62b 7.84c ± 0.34 0.98c
2 3.68a ± 0.15 0.46a 4.39b ± 0.25 0.55a 6.89c ± 0.39 0.86b 18.53d ± 0.55 2.32c
3 3.68a ± 0.16 0.46a 3.92a ± 0.26 0.49a 9.26b ± 0.41 1.16b 19.95c ± 0.59 2.49c
4 3.44a ± 0.18 0.43a 3.92a ± 0.27 0.49a 11.64b ± 0.50 1.46b 18.53c ± 0.45 2.32c
5 3.87a ± 0,22 0.48a 3.84a ± 0.22 0.48a 8.08b ± 0.40 1.01b 17.58c ± 0.41 2.20c
6 4.28a ± 0.29 0.54a 3.92a ± 0.26 0.49a 7.83b ± 0.35 0.98b 28.03c ± 0.65 3.50c
7 3.33a ± 0.30 0.42a 3.92a ± 0.21 0.49a 6.89b ± 0.31 0.86b nd
8 2.09a ± 0.20 0.26a 2,19a ± 0,15 0.27a 5.94b ± 0.24 0.74b nd
Sum, mg 3.52 3.88 7.69 13.81
LSD05 1.40 1.30 2.15 2.55
Note: number above line is the concentration of fluoride in the leaked moisture, mg/l; under line is the amount of leaked fluoride, mg t different letters within a row signify statistically significant difference
leased into the atmosphere in 36 years (1954-1990). Soil was sampled from the 0-25 cm layer. ^e texture of the soil was heavy loam; fluoride content was 17.5 mg/kg of soil weight. ^e soil from this site was used for Experiment No. 4 to study the migration ability of fluoride in heavy textured soil.
All studied soils were alkaline with a high content of calcium.
In the laboratory experiments, 300 g of air-dried soil was first crushed and sieved through a 1-mm mesh
soil, then placed in separatory funnels. ^e height of the soil was 17 mm; the packing density was 1.0-1.1 g/cm3.
To determine the extent and nature of fluoride migration, eight washings were carried out in four replications in every experiment.^e total volume of leaked moisture of one funnel was 2.0 litres (125 ml for each wash). ^e eluates were collected after each washing of the soil, followed by determination offluoridecontent.
^e concentration of water-soluble fluoride in the soils and wash waters was established using a fluorose-
3 4 5
washing terms
Fig. 1. Dynamics of fluoride concentration in the eluates from washwater of pH 6.2.
lective electrode. The pH was established by the poten-tiomertric method, humus by the I. V. Tyurin method, granulometric composition by the N. A. Kachinsky method and total chemical composition by the fusion method (Samofalova and Rogiznaya, 2013). The dynamics of fluoride content in the eluates were statistically processed by regression analysis (Bure, 2007).
3. Results
3.1. EXPERIMENT No. 1
In this experiment fluoride concentration in the first elu-ate was already 3.9 mg/l, which is 2.6 times higher than the maximum allowed concentration (MAC) level established for drinking water (1.5 mg/litre) (WHO, 2004) (Table 2). A gradual but not significant increase in fluoride concentration continued until the sixth washing, where it was 4.28 mg/l, and thenits concentration gradually decreased. It is important to emphasize that in all eluates the concentration of fluoride was higher than the MAC.
A linear model of the dynamics of changes in the fluoride concentration in washwater with a starting pH of 6.2 was:
71.1 = 4.19 - 0.145 • t, (3.1)
where t — terms (conditional time). The average rate of the dynamic of fluoride change in the whole observation interval was v1 = -0.145 mg/dm3. The model is significant at 16.5 % (F=2.53 at critical value F(0.835;1.6)=2.499) and R2 = 0.296 (Fig. 1).
The model of the dynamics of changes of fluoride concentration based on the polynomial of third degree is:
71.2 = 5.2 - 1.66 • t + 0.49 • t2 - 0.04 • t3, (3.2)
where t — terms. Model 1.2 is significant at 1.8 % (F=12.3 at critical value F(0.982;3.4)=12.04) and R2 = 0.90 (Fig. 1). Model 1.1 describes the trend of the dynamics of fluoride changes, while Model 1.2 is highly significant and well describes the process.
3.2. EXPERIMENT No. 2
When the washwater was acidified to pH 3.5 (Experiment No. 2) the maximum concentration of fluoride in the eluate was established in the first eluate(4.98 mg/l). After the third washing it stabilized at a level of 3.83.9 mg/l. A decrease in concentration occurred in the eighth washing (2.19 mg/l).
Over the entire observation period, 3.88 mg of fluoride was removed from the soil as a result of washing, i.e., 1.1 times more than when the soil was washed with distilled water with a pH of 6.2. The concentration of fluoride in eluates throughout the study interval exceeded the MAC, indicating that using acidified washing water didn't result in full removal of fluoride from the soil.
A linear model of the dynamics of changes in fluori-deconcentrations in the experiment with acidified wash-water (pH 3.5) was:
72.1 = 5.06 - 0.26 • t,
(3.3)
3 4 5
washing terms
Fig. 2. Dynamics of fluoride concentration in the eluates from washwater of pH 3.5.
The average rate of the dynamics of fluoride change in the whole observation interval was: V2 = -0.26 mg/ dm3. Model 2.1 is highly significant at 2 % (F=11.7 at critical value F(0.98;1.6) = 9.876) and R2 = 0.66 (Fig. 2).
The model of the dynamics of changes of fluoride concentration based on the polynomial of third degree is:
y2.2 = 6.84 - 2.26 • t + 0.55 • t2 - 0.04 • t3, (3.4)
The model is significant at a very high level of 0.9 % (F=18.6 at critical value F(0.991;3.4) = 17.68) and R2 = 0.93 (Fig. 2). Model 2.1 describes the trend of the dynamic, while Model 2.3 well describes the process.
3.3. EXPERIMENT No. 3
The soil from the industrial site was characterized by a higher level of contamination with fluoride compared to soils from Sites 1 and 2, which significantly influenced the scale of migration of fluorideduring the washings. With an equal volume of leaked moisture, the fluctuations in concentration of individual eluates were from 4.99 to 11.64 mg/dm3. This is 1.2-2.7 times higher than its maximum content established in the eluates of the sandy loam soil.
Up to the fourth washing term, an increase was recorded in the concentration of fluoride in individual eluates, while from the fifth washing, a decrease in the concentration of fluoride was detected. Thus, we did not observe a complete removal of fluoride by leaching from
the soil located on the industrial zone of the plant. This is supported by the fact that in the eighth eluate, the fluoride concentration was slightly higher than in the first. The linear model of the fluoridemigration for this experiment was:
73.1 = 7.75 - 0.014 • t, (3.5)
The average rate of the dynamics of fluoridechange in the whole observation interval was: v3 = -0.014 mg/ dm3, near zero (Fig. 3). The model of the dynamics of changes of fluorideconcentration (from the factory zone) based on the polynomial of third degree was:
73.2 = -0.98 + 6.7 • t - 1.29 • t2 + 0.069 • t3, (3.6)
Model 3.2 is significant at 7 % (F =5.41 at critical value F(0.93;3.4)=5.32) and R2 = 0.8 (Fig. 3).
3.4. EXPERIMENT No. 4
The maximum level of fluoride contamination was found intheheavy textured soil located 0.6 km from the pollution source (the first eluate contained 7.84 mg/kg, while the sixth contained 28.03 mg/kg). An increase in fluoride concentration was observed as the amount of percolated moisture increased. This experiment was terminated after the sixth washing term due to silting of the columns. The total amount of leached fluoride in six washes was 13.81 mg, which is 1.8 times higher than the sum of eight washings of the soil from the industrial site.
Fig. 3. Dynamics of fluoride concentration in the eluates from the experiment with a moderate level of soil contamination.
A linear model of the dynamics of fluoride concentration in the soils with a high pollution level was:
74.1 = 8.7 + 2.76 • t, (3.7)
The average rate of the dynamics of fluoride concentration in the whole observation interval was: v4 = 2.76 mg/dm3. Model 4.1 is significant at 5.5 % (F =7.23 at critical F(0.945;1.4) = 7.2) and R2 = 0.64 (Fig. 4). The model of the fluoride dynamics in the industrial zone based on the polynomial of third degree was:
74.2 = -19.47 + 37.3 • t - 11.2 • t2 + 1.05 • t3, (3.8)
Model 4.2 is significant at a very high level of 0.9 % (F =116.3 at critical value F(0.991;3.2)=110.3) and R2 = 0.994 (Fig. 4). So, the constructed empirical models are statistically significant. Model 4.1 describes the trend of the dynamic, while Model 4.2 well describes the process.
The different character of curves of fluoride concentration in the eluates was explained by different granu-lometric compounds of soils, levels of soil pollution and speed of the water moving in columns.
4. Discussion
The fluoride ion, as a strong ligand in water, forms a number of soluble complexes with polyvalent metal ions such as Mg2+, Fe3+, Al3+, and Ca2+ (Sivasankar et al., 2016) based on the pH of the medium. However, because in alkaline soil, where Al and Fe are in low concentrations, fluoride was unable to bind with these cations
to any appreciable extent, it replaced hydroxyl sites because the ionic radius of F (1.23-1.36 Á) is close to OH (1.37-1.40 Á) (Sivasankar et al., 2016). Such isomor-phous substitution happens when cations of comparable size, but different charge are exchanged in crystals of clay minerals (Poulsen, 2011). As Ca2+ precipitates into calcite under alkaline pH with abundant CO2, the dissolution of fluorite is thus enhanced, leading to fluoride-enriched calcium-poor groundwater.
Ozsvath (2009) suggested that in neutral medium the insignificant binding ability of fluoride results in free fluoride ions along with minor amounts of major cation complexes and some minor and/or trace constituent complexes.
The absence of significant differences in the amount of leached fluoride between the first and second experiments (i.e., wash water with pH 6.2 and pH 3.5) is explained by the high buffering capacity of the investigated soil (Jacks et al., 2005). It was established that the pH of the eluate in Experiments No. 1 and No. 2 did not depend on the initial acidity of the washwater and the washing time and remained in the alkaline range (pH 8.2-8.6). This indicates that the initial pH of the percolating moisture did not significantly affect the rate of leaching of fluoride from studied alkaline soil.
Calcaric materials are often referred to as a sink for fluoride (Sivasankar et al., 2016). Kim and Jeong (2005) inferred that CaF2 dissolution is not necessarily dependent on pH unless it is coupled with the precipitation of
0 12 3 4 5
washing terms
Fig. 4. Dynamics of fluoride concentration in the eluates of the experiment with highly contaminated soil.
CaCO3 by common ion effect. Probably, in our study, the precipitation of CaF2 was enhanced at high pH levels and thereby enabled further dissolution of fluorite in the water saturated with both CaF2 (fluorite) and CaCO3 (calcite) at the same time.
In the light loam soil the maximum concentration of fluoride was observed in the fourth washing, while in the heavy loam soil the concentration of leached fluoride increased until end of the experiment.
The higher concentrations of F in the eluates of the third compared to the first two experiments were due to the initially higher contamination of this soil. Also, due to the presence of finer particles more hydroxyl sites could be substituted by fluoride (Savasankar et al., 2016), forming CaF2 that eventually was dissolved in the washwater.
The above explanation also applies to the greatest fluoride concentration in the eluates of the fourth experiment. Because this soil had the greatest amount of fine particles with more capacity to absorb F, it showed significantly greater F concentrations in all six eluates. Moreover, judging from the increasing concentration of fluoride with washing terms in the fourth experiment, the reserves of fluoride capable of migration in the heavy textured soil remains very significant. Probably both the initial high level of contamination and the greater content of clay (i.e., increased hydroxyl sites) in this soil were responsible for unfavorable electrostatic potential or displacement of adsorbed F from the soil (Larsen and Widdowson, 1971).
The eluates of all experiments and washing terms showed that concentration of fluoride exceeded the MAC. The identified level of contamination suggests that if released into aquifers this may pose a threat to the health of animals and people.
The amount of leaching fluoride correlated with the amount of leaching water. This was also confirmed by Jadewsz (1976), who detected the penetration of volatile emissions from phosphate fertilizer plants to a soil depth of four to eight meters and into the groundwater.
Sivasankar et al. (2016) reported that the leaching rate of fluoride was associated with its mobility in different soils. Wanf et al. (2002) ranked the fluoride leaching ability of different soils as follows: drab soil > sierozem > black soil > purplish soil > red soil > dark brown earth. According to the findings of Rezaei et al. (2017), ion exchange between fluorite and calcite is important in controlling fluoride concentration in water.
5. Conclusions
1. Irragric Anthrosols, located in a zone of industrial emission in the vicinity of an ammophos production factory, exhibited a weak ability to hold fluoride. Multiple thorough soil washing leads to the removal of water-soluble fluorine. Fluorine is found in all portions of filtrates. The intensity of fluorine leaching was little dependent on the pH of the wash-water. Complete removal of fluoride by washing the
soils selected for the study could not be achieved. Migration losses are greater the higher the initial level of soil pollution.
2. At a relatively low initial level of contamination of sandy loam soil with fluorine, its concentration in individual portions of the eluate is reduced. The total content of fluorine washed fluctuated slightly depending on the pH of seepage water, and amounted to 3.52-3.88 mg. With an average initial level of pollution in light loamy soil, the average rate of change of the concentration of fluoride in the eluates is not significantly different from zero. The amount of leached fluorine was equal to 7.69 mg. At a high level of contamination of the heavy textured soil an increase in fluorine concentration in the washwater of individual eluates was established throughout the period of study. The amount of F removed was limited by weak soil filtration capacity and amounted to 13.81 mg.
3. Empirical models have been developed that adequately describe the process of fluorine migration from Irragric Anthrosols of different levels of contamination.
Acknowledgments
Part of the research was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia (Grant no. TR 37006).
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