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Floresta e Ambiente

Print version ISSN 1415-0980On-line version ISSN 2179-8087

Floresta Ambient. vol.25 no.4 Seropédica  2018  Epub Aug 06, 2018 

Original Article

Conservation of Nature

Physical Quality of a Typic Hapludult Soil Under Forest Leguminous Trees and Pasture

David Silva Gomes1

Cláudio Roberto Marciano1

Lucas Luís Faustino1  *

1 Universidade Estadual do Norte Fluminense Darcy Ribeiro – UENF, Campos dos Goytacazes/RJ, Brasil


Revegetation with leguminous trees has been used to recover degraded areas. This study aimed to evaluate the physical quality of a Typic Hapludult soil under secondary forest, pasture and three leguminous tree species: Acacia (Acacia auriculiformis), Sabia (Mimosa caesalpiniaefolia) and Inga (Inga spp. ), in Conceição de Macabú County, Rio de Janeiro State, Brazil. Soil samples from the 0-0.10 m and 0.10-0.20 m layers were collected and analyzed in July, 2015. Lower bulk density and higher total porosity and macroporosity values occurred under forest. The higher microporosities were associated with higher bulk densities and lower values of total porosity and macroporosity (pasture and Acacia). The soil under pasture, even when compacted, preserved the largest amount of mesopores, perhaps due to the fasciculate root system of these plants. It was concluded that revegetation leads to changes in the soil surface layer so that its physical attributes become similar to those found in the forest and differ from those of pasture, with an increase in quality to support forest ecosystem functioning.

Keywords:  degraded area revegetation; soil compaction; soil total porosity; soil pore size distribution


Brazilian soils are mostly highly weathered, with reduced chemical quality and a fragile macrostructure in the superficial layers. Under these conditions, organic matter, although at low levels, plays a central role in determining the quality of the soils considering both chemical and physical aspects ( Bayer & Mielniczuk, 2008 ).

Agricultural exploitation leads to the degradation of tropical soils, and in the north of Rio de Janeiro State this has been a consequence of the cutting and burning of forests and long periods of coffee and sugar cane monocultures using intensive mechanization and fire in pastures ( Gama-Rodrigues et al., 2008 ).

The two main mechanisms that lead to reduction of soil quality are compaction ( Reichert et al., 2007 ) and loss of organic matter ( Bayer & Mielniczuk, 2008 ). While compaction mainly affects physical aspects, the degradation of organic matter has an effect on chemical and physical aspects, since organic matter is perhaps the main factor responsible for the structure of the superficial soil layer.

Implantation of forest systems with leguminous species is one of the most implemented strategies to recover degraded areas, since in addition to improving nutrient availability, the increase in organic matter content increases biological activity and improves physical attributes ( Gama-Rodrigues et al., 2008 ).

Soil attributes from which inferences about soil quality can be made are called soil quality indicators. Among physical indicators, we can highlight ( Ferreira, 2010 ; Libardi, 2010 ; Silva et al., 2010 ): (i) those related to the soil matrix; (ii) those related to the structure - or spatial arrangement of soil particles; (iii) those related to the soil’s mechanical resistance; (iv) those related to the amount and energy of water retained in the soil; and (v) those related to the dynamic processes in the porous space of the soil.

Thus, the objective of this study was to evaluate the physical quality of a Typic Hapludult soil under secondary forest (popularly known in Brazil as capoeira), leguminous tree species and pasture on a hillside in the Municipality of Conceição de Macabú, RJ, Brazil.


The study area is located in the municipality of Conceição de Macabú, North of Rio de Janeiro, at Carrapeta Farm (21° 37’ S and 42° 05’ W). According to the Köppen classification, the region’s climate is Am type, hot and humid, with an average temperature of 26 °C and an average annual rainfall of 1400 m ( Gama-Rodrigues et al., 2008 ). The relief is strong wavy, with a slope around 0.35 m m-1. The soil is an Argissolo Vermelho-Amarelo Distrófico according to the Brazilian Soil Classification System ( Embrapa, 2013 ), or a Typic Hapludult soil according to the American Soil Classification System ( Soil Survey Staff, 2014 ).

The experimental area consists of laterally adjacent vegetation cover at the same elevation: Acacia auriculiformis (Acacia); Mimosa caesalpinifolia (Sabia); Inga spp. (Inga); degraded pasture (pasture); and secondary forest (capoeira). The secondary forest has not been managed and trees have not been removed for over 50 years; the pasture dates back to the 1930s; and the three leguminous species were planted in 1998 in plots of 1500 m2 (75 m x 20 m). Soil samples from 0-0.10 m and 0.10-0.20 m depth layers were collected in July 2015, with deformed and undeformed structures, at six points (replications) set 5 m from each other along the steepest slope in each plot.

Deformed samples were air dried, sifted and used for chemical characterization according to the methodologies reported by Gama-Rodrigues et al. (2008) . Particle size analysis was performed using the pipette method in the same samples, with adaptations according to the method described by Valicheski et al. (2011) . The chemical and particle size results are presented in Table 1 . Undisturbed samples collected in 100 mL metal rings were used to determine soil bulk density (BD), total porosity (TP), and the soil water retention curve based on Libardi (2010) .

Table 1 Granulometric composition (sand, silt and clay) and chemical attributes (hydrogen potential - pH, organic carbon - OC, sum of bases - SB, and effective and potential cation exchange capacity - CECef and CECpH=7, respectivly) of a Typic Hapludult soil under different vegetation cover in the 0-0.10 m, 0.10-0.20 m and 0-0.20 m (average) layers in Conceição de Macabú, RJ, Brazil.  

Vegetation cover Sand Silt Clay pH OC SB CECef CECpH=7
-------- (g kg-1) ------- (H2O) (mg kg-1) ---------(cmolc kg-1)---------
0-0.10 m layer
Capoeira 640.0 85.5 274.5 4.22 18.8 0.79 1.9 8.6
Acacia 627.1 70.1 302.8 4.48 14.6 2.14 2.5 8.9
Inga 610.8 93.1 296.1 4.22 13.9 0.90 1.9 7.5
Sabia 603.8 96.8 299.4 4.26 16.0 1.05 2.2 8.8
Pasture 637.6 90.7 271.7 4.26 13.1 0.41 1.3 6.8
Mean 623.8 87.2 288.9 4.29 15.3 1.06 2.0 8.1
0.10-0.20 m layer
Capoeira 598.5 93.8 307.6 4.12 12.2 0.30 1.4 7.8
Acacia 510.0 96.0 394.1 4.34 11.1 0.79 1.7 7.4
Inga 535.7 108.4 356.0 4.28 10.8 0.40 1.5 7.0
Sabia 515.4 111.7 372.9 4.22 11.9 0.46 1.7 7.1
Pasture 533.3 110.2 356.5 4.18 11.3 0.16 1.1 7.2
Mean 538.6 104.0 357.4 4.22 11.4 0.42 1.5 7.3

In order to determine the water retention curve in the soil, the samples were saturated and submitted to tensions of 1, 3, 6 and 10 kPa in porous plate funnels, and of 33, 100, 500 and 1500 kPa in Richards pressure chambers. After reaching equilibrium, the samples were weighed, dried at 105 °C for 48 h, and then weighed again to obtain the volumetric water content (θ, m3 m-3). The results were adjusted to the Van Genuchten (1980) Equation 1:

θ=θr+θsθr(1+α.τn)m (1)

Where: θs is the saturated water content (m3 m-3 ); θr is the residual water content (m3 m-3); α (kPa-1), m and n (dimensionless) are empirical parameters of the model. To obtain the equations, θs was assumed to correspond to total porosity, m was considered to be dependent on n (m = 1 - 1/n), and θr, α and m were estimated with the help of the 'solver' add-in of the Microsoft Office Excel 2010 program using the method of least squares.

The retention curve was used to evaluate pore distribution by size, which has been considered a more usual or traditional scale with the macropore and micropore classes being delimited by a diameter of 50 μm (corresponding to tension of 6 kPa); and a more detailed scale with the macropore, mesopore, micropore and cryptopore classes delimited by the diameter values of 100, 30 and 0.2 μm, respectively (corresponding to tensions of 3, 10 and 1500 kPa). The pore volume in each of the size classes above was determined by the difference between water content at the tensions that delimit them, obtained by the equation adjusted for the retention curve.

Similar to other studies conducted in this area ( Gama-Rodrigues et al., 2008 ; Costa et al., 2014 ), the statistical analysis was carried out assuming a completely randomized design, although the basic precepts of experimental statistics were not met with rigor (randomization, repetition and local control). The absence of these precepts was compensated for based on the collection points, which were at the same altitude and presented pedological uniformity between the plots, as shown by the morphological aspects of the profile. The treatments were also considered in a split-splot scheme with the five vegetation covers in the plots and the two sampling layers in the subplots, in addition to the six collection points as replications. The statistical analysis was performed using the “Assistat” software, in which the means comparison was carried out by the Tukey test at 5% of probability. Pearson's linear correlation coefficients between the various physical variables were obtained from the Microsoft Office Excel 2010 spreadsheet.


The granulometric composition for both studied layers showed no differences between the vegetation covers for the sand and clay fractions ( Table 1 ). For the silt fraction, the lower levels are consistent with those usually observed in highly weathered tropical soils ( Ferreira, 2010 ), and although significant, the maximum difference observed between the vegetation covers considering the mean of both layers was very small, being 2.13% (or 21.3 g kg-1 = 104.3-83.0). As texture is one of the most stable attributes of soil ( Ferreira, 2010 ), the different granulometric fraction contents are not adjustable in terms of their use or management (at least within the timeframe of a few years or even a few decades). Therefore, any differences observed in the analysis of variance of the granulometric composition would not be a consequence of the treatments, but rather of pre-existing pedological variations between the experimental units.

In the present case, the low silt levels (negligible in terms of creating differences in soil behavior or in other chemical or physical attributes), and the absence of differences between the vegetation covers with respect to sand and clay fractions, reveal great pedological uniformity between the plots. This allows performing analysis of variance considering treatments in a completely randomized design despite the basic precepts of experimental statistics not having been met. Comparing the layers, the sand content was higher and the clay content was lower at 0-0.10 m than at 0.10-0.20 m ( Table 1 ). The studied soil class (Argissolo, or Ultisol) must obligatorily have a finer texture subsurface “Bt” horizon ( Embrapa, 2013 ), but a textural gradient occurring between layers making up the surface “A” horizon is also frequent.

In relation to the soil bulk density results ( Table 2 ), the secondary forest (capoeira) differed from the other plots, presenting the lowest means for both the 0-0.10 m and the 0.10-0.20 m layers (1.114 and 1.093 Mg m-3, respectively). In relation to the other coverages, the highest averages occurred for Acacia with 1.386 Mg m -3 for the 0-0.10 m layer (not differing from pasture), and 1.474 Mg m-3 for the 0.10-0.20 m (in which Sabia was superior to Inga, which in turn did not differ from the pasture). Three distinct behaviors were noted in comparing the layers with respect to soil bulk density: no difference between layers occurred for capoeira; values from 0-0.10 m were lower than those from 0.10-0.20 m for the three planted forest coverages (Acacia, Inga and Sabia); and the opposite occurred for the pasture (values from 0-0.10 m were higher than from 0.10-0.20 m). The figures found are slightly lower than those from 2010 for the same area ( Gomes, 2014 ).

Table 2 Total porosity (TP), soil bulk density (BD) and pore size distribution (*) of a Typic Hapludult soil under different vegetation cover in 0-0.10 m, 0.10-0.20 m and 0-0.20 m (average), in Conceição de Macabú, RJ, Brazil.  

BD TP macro1* micro1* macro2* meso micro2* Crypto
----------------------------------------(Mg m-3)-----------------------------------------
0-0.10 m Layer
Capoeira 1.114cA 0.580aA 0.398aA 0.181eB 0.357aA 0.058bB 0.024dB 0.140dB
Acacia 1.386aB 0.477cA 0.249dA 0.228cB 0.221dA 0.044dB 0.061bB 0.150bcB
Inga 1.215bB 0.542bA 0.321bA 0.221dB 0.286bA 0.054bcB 0.058bB 0.144cdB
Sabia 1.255bB 0.527bA 0.294cA 0.233bB 0.261cA 0.050cdB 0.046cB 0.170aB
Pasture 1.361aA 0.486cB 0.223dB 0.263aA 0.177eB 0.073aA 0.081aA 0.156bA
Mean 1.266 0.522 0.297 0.225 0.260 0.056 0.054 0.152
0.10-0.20 m Layer
Capoeira 1.093dA 0.587aA 0.355aB 0.233eA 0.301aB 0.080aA 0.049cA 0.158dA
Acacia 1.474aA 0.444dB 0.175cB 0.268cA 0.145dB 0.049cA 0.080aA 0.170cA
Inga 1.283cA 0.516bB 0.241bB 0.275bA 0.197cB 0.068bA 0.069bA 0.182bA
Sabia 1.370bA 0.483cB 0.193cB 0.290aA 0.146dB 0.072bA 0.070bA 0.194aA
Pasture 1.271cB 0.520bA 0.265bA 0.255dB 0.220bA 0.070bA 0.070bB 0.160dA
Mean 1.298 0.510 0.246 0.264 0.202 0.068 0.068 0.173

(*) Distribution in the usual scale: macropores (macro1: diameter ≥ 50 μm) and micropores (micro1: diameter ≤ 50 μm); Distribution on the detailed scale: macropores (macro2: diameter ≥ 100 µm), mesopores (meso: 100 µm ≥ diameter ≥ 30 μm), micropores (micro2: 30 μm ≥ diameter ≥ 0.2 μm) and cryptopores (crypto: diameter ≤ 0.2 μm); For each column (i.e. for each soil attribute), averages followed by the same capital letter (comparing the layers) or by the same lowercase letter (comparing the covers) do not differ from one another according to the Tukey test at 5% probability.

The behavior for total porosity ( Table 2 ) for both layers was the inverse of that found for bulk density, with the highest values for Capoeira and the lowest for Acacia. Additionally, for both layers the intermediate position was occupied by the Sabia, Inga and pasture coverages. For the 0-0.10 m layer Inga and Sabia covers were equal to each other and superior to pasture, which did not differ from Acacia. For the 0.10-0.20 m layer, Inga and pasture were equal to each other and superior to Sabia. In comparing the layers, no total porosity difference was found for Capoeira, while, the porosity was higher in the 0.10-0.20 m layer than in the 0-0.10 m layer (greater surface compaction) for pasture, and it was lower in the 0.10-0.20 m layer than in the 0-0.10 m (less surface compaction) for three planted coverages (Acacia, Inga and Sabia).

The behavior described for bulk density and porosity show that: (i) preservation of the native vegetation allowed the secondary forest soil (capoeira) to maintain its original good structure, presenting the lowest bulk densities and higher total porosities in both layers; (ii) land use with pasture resulted in compacting both studied layers, which was more pronounced at 0-0.10 m possibly due to animal trampling and the direct impact of rainfall on the soil surface, which in the present case result in vegetation cover failures; and (iii) revegetation allowed the 0-0.10 m surface layer to present structure improvement over the 0.10-0.20 m layer, in which compaction remained severe, possibly as a consequence of the direct action of the roots and of litter deposition, thus a consequent increase of biological activity and organic matter content in the soil.

In analyzing an Alfisol (Argissolo Vermelho-Amarelo) under pasture and under native secondary forest, Santos et al. (2010) also found higher values of bulk density and lower total porosity values in the 0-0.10 m layer of the pasture area. In comparing the layers in the soil under forest they also found densification in the deepest layer of 0.20-0.30 m, while in the soil under pasture, the highest compaction occurred in the superficial layer of 0-0.10 m, which the authors attributed to animal trampling.

In an area of Inceptisols (Cambissolo Háplico) in the South of Rio de Janeiro State, Guareschi et al. (2014) found that secondary forests presented greater deposition of vegetation residue on the surface in comparison to pasture, and that intermediate (25 years) or advanced (60 years) regeneration stages favored the occurrence of lower bulk density and higher total soil porosity values.

Regarding pore distribution by size, higher macroporosity means (macro1 and macro2 - Table 2 ) were observed in the 0-0.10 m surface layer than in the 0.10-0.20 m layer for the four studied tree coverings (Capoeira, Acacia, Inga and Sabia). This could also be attributed to the presence of litter on the surface, which (as other studies carried out in the same area have shown) leads to increased biological activity ( Manhães et al., 2009 ) and increases soil organic matter content ( Rita et al., 2013 ). Altogether, this favors the formation of aggregates and the occurrence of larger diameter pores such as biopores and structural pores among neoformed aggregates.

The macropore values for pasture were higher in the 0.10-0.20 m layer than in the 0-0.10 m layer, showing that the aforementioned compaction of the superficial layer (by animal trampling, rain impact, etc.) occurs through a reduction in the volume of larger diameter pores, while the grass root system in the subsurface allows the formation/maintenance of macropores in the soil. The macroporosity showed a highly negative correlation with bulk density (R = -0.940 for macro1 and R = -0.898 for macro2, which respectively compose the usual and detailed scales) and a highly positive correlation with total porosity (R = 0.940 and R = 0.898, also respectively for the aforementioned scales). Several studies have shown similar results showing that soil macroporosity is higher in conserved areas (under forest) than under both degraded pasture ( Melloni et al., 2008 ; Calgaro et al., 2015 ) or intensive farming with either annual or perennial crops ( Klein & Libardi, 2002 ).

Comparing the vegetation covers in relation to macropores ( Table 2 ), differences were observed in the superficial layer between all the covers in both allowed scales (macro1 and macro2) in the following order: Capoeira > Inga > Sabia > Acacia > Pasture (the exception was for macro1, with equality between Acacia and pasture). In the 0.10-0.20 m layer (also for both macro1 and macro2), the secondary forest maintained a higher value, superior to the others. However, the pasture went to the second position as a possible consequence of the grass root system performance in soil structuring. No changes were found in the ordering of the other three studied coverages, but the discrimination between the coverages was lower with Inga > Sabia = Acacia (Inga also did not differ from pasture for macro1). Calgaro et al. (2015) obtained similar results to those of the present study with the macroporosity of the soil under forest being higher in the 0-0.10 m layer than in the 0.10-0.20 m, while the opposite occurred under grazing possibly as a result of the compaction of the surface layer.

Regarding microporosity values on the more usual scale (micro1), differences between all vegetation covers were observed in both layers studied ( Table 2 ). The pasture had the highest value and capoeira the lowest in the 0-0.10 m layer, with the other covers in intermediate positions (in this order: Sabia > Acacia > Inga). In the 0.10-0.20 m layer, micro1 values decreased in the following order: Sabia > Inga > Acacia > Pasture > Capoeira. Pasture assuming the fourth position close to that of capoeira (instead of the first position in the 0-0.10 m layer) is a possible consequence of the performance of the grass root system in the soil structuring in the 0.10-0.20 m layer, as suggested when discussing macroporosity.

In comparing the layers, the lowest micro1 values were observed in the 0-0.10-m layer for all forest covers ( Table 2 ). For this more usual pore size scale, microporosity (micro1) presented a positive correlation with bulk density (R = 0.634) and a negative correlation with total porosity (R = -0.634). As this microporosity behavior is opposite to that of the macroporosity, described above, the correlation between these variables (macro1 and micro1) was also negative (R = -0.860). This is justified by the fact that in denser and/or more compacted soils, there is greater proximity between the particles, consequently generating lower total porosity. Soil densification and/or compaction leads to the reduction of the macropore size, converting them into smaller pores. In these processes in which particles become closer, the volume of large pores eliminated is always greater than that of small pores created, so that statistically, significant differences between uses and managements are easily observed for macroporosity, but not for microporosity ( Melloni et al., 2008 ; Nunes et al., 2010 ; Rocha et al., 2014 ). Significant differences for both pore size classes are usually restricted to cases where the management adopte is quite different, and with more severe impacts on compaction ( Klein & Libardi, 2002 ; Guimarães et al., 2014 ).

In relation to the detailed scale of pore distribution by size in the pasture soil, the comparison between layers revealed that the mesoporosity and cryptoporosity values did not differ between 0-0.10 m and 0.10-0.20 m depths ( Table 2 ). However, microporosity (micro2) values were higher for the superficial layer (more compacted) than in the subsurface layer (less compacted), similar to what has already been described for soil bulk density and microporosity in the most usual scale (micro1). Thus, the micro2 showed a good positive correlation with the cited variables (R = 0.667 for bulk density and R = 0.840 for micro1).

The highest amounts of mesopores, micropores and cryptopores for the four studied forest coverages occurred in the deepest layer (0.10-0.20 m). Other authors ( Klein & Libardi, 2002 ; Silva et al., 2005 ) have found similar results with increased amounts of pores in smaller diameter classes (micropores, cryptopores) in the more compacted or denser layers (generally corresponding to cohesive subsurface pedogenic horizons and/or of finer texture that accumulated illuvial clay during its formation).

For the detailed scale for pore size distribution, the results also reveal important edaphic differences between the studied plant coverings in addition to those already discussed for macroporosity (macro2). The lowest averages of both micropores and cryptopores for both studied layers were verified in the soil under capoeira ( Table 2 ), coinciding with the lower bulk densities and higher total porosities. For the other covers, the micropores also have the highest averages associated with the highest bulk densities in both layers (Pasture and Acacia), however this association did not occur for cryptopores. For the detailed scale, it should be noted that micropores are responsible for water retention in the range available to plants between the tensions of 10 and 1500 kPa, so that the low occurrence of these pores in the soil under capoeira could (in a hastier analysis) indicate water limitations to the vegetation. However, according to a more focused approach regarding soil function in the ecosystem, it can be inferred that this fact may even be favorable to greater water availability for the plants over the medium term, since a greater macroporosity of the first layers would allow greater infiltration, and therefore greater water storage in subsurface horizons still reachable by the roots of perennial plants.

Continuing with the detailed scale of pore size, the comparison between plant covers shows that the proportion of mesopores in the pasture was higher than in the other coverings for the 0-0.10 m layer ( Table 2 ). No differences for these were found between capoeira and Inga, between Inga and Sabia, or between Sabia and Acacia, with the mean value decreasing according to this respective order, and with differences occurring between Capoeira and Sabia and between Inga and Acacia.

Analyzing the two plots with the highest compaction levels of the soil surface layer, the lower occurrence of mesopores was observed in Acacia, while the largest quantity of pores of this diameter range occurred in pasture. This shows that despite the compaction process, the grass root system acted to preserve mesopores, which according to Libardi (2010) , are the main pores responsible for redistributing water in the soil profile. For the 0.10-0.20 m layer (also shown in Table 2 ), capoeira presented the highest values of mesopores and Acacia presented the lowest, while Inga, Sabia and pasture presented intermediate values with no differences between them. The mesopores generally show low correlation with the other physical attributes constant in Table 2 , and the most notable were with bulk density and total porosity (R = -0.405 and R = 0.405, respectively), and with macroporosity (R = 0.345). Nevertheless, considering the order of the means according to the Tukey test letters, we can observe a certain similarity in behavior between the mesopores and the smaller diameter classes (micropores and cryptopores), since both are produced from larger pores (macropores) during the soil compaction process.


Soil under secondary forest presents good physical quality, with the 0-0.10 m and 0.10-0.20 m layers presenting low bulk density, high porosity and a high proportion of large pores, thus facilitating root system penetration, water infiltration and its storage in subsurface horizons still within the reach of the roots of tree species.

The soil under pasture, despite the adequate pore size distribution, presents low physical quality in the two studied layers, especially in the superficial layer, because it presented high bulk density and low total porosity.

In the Acacia revegetated area as succession to the pasture, both soil layers studied presented low physical quality showing the highest bulk density, lowest total porosity and a low proportion of large pores. This poor physical quality, even lower than that of pasture soil, may be partly due to some unidentified pedogenic process or old soil management event.

The revegetation of degraded areas with Inga and Sabia recovers the soil physical quality of 0-0.10 m layer, since in the present case it allowed reaching intermediate bulk density and total porosity values when compared to those found for Capoeira and pasture.


Mr. José Laércio Paixão Flores, owner of Carrapeta Farm, for allowing the collection of soil samples and, even more, for revegetation of the studied area.

FINANCIAL SUPPORT CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, (Grant/Award Number:) Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, (Grant/Award Number:) - FAPERJ - Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, for the doctoral scholarship to third author; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, for the master scholarship to first author, and for the “PROAP” financial support to the Plant Production Post-graduation Program of UENF.


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Received: October 06, 2017; Accepted: October 26, 2017

*Lucas Luís FaustinoLaboratório de Solos, Universidade Estadual do Norte Fluminense Darcy Ribeiro – UENF, Av. Alberto Lamego, 2000, Parque Califórnia, CEP 28013-602, Campos dos Goytacazes, RJ, Brasil e-mail:

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