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Field Perception of the Boundary Between Soil and Saprolite by Pedologists and its Differentiation Using Mathematical Models

ABSTRACT

Saprolite plays a central role into hydrologic and nutrient cycles. Despite that, saprolite research is scattered and uses heterogeneous, sometimes conflicting, methods and concepts. During field work, it is difficult to assign the boundary between soil and saprolite. This paper aimed to identify the subjacent logic that pedologists use to assign to a regolith volume its soil or saprolite nature. To achieve this goal, a tree algorithm was used to build a hierarchy of physical and chemical properties of a set of regolith profiles. Such hierarchization expose the inner, subjective criteria used by researchers during the assignment of a certain profile zone as saprolite or soil. The following variables were measured: total porosity (TP); bulk density (Bd); particle density (Pd); total Fe2O3, Al2O3, CaO, MgO, K2O, Na2O, P2O5, and TiO2; selective extraction of iron by ditionite-citrate-bicarbonate (FeDCB) and ammonium oxalate (FeOA); and the FeDCB/FeOA ratio. These measurements were done in a set of 25 regolith profiles (137 horizons and layers), located in the Southeast region and Northeast region of Brazil. The decision tree algorithm was applied using the recursive partition method to identify which of the measured property was most strongly associated with the field assignment of the pedologists to a certain profile zone as saprolite or soil. The Bd, FeDCB/FeOA, MgO, CaO, TP, and P2O5 explained 93 % of the pedologists choice, being Bd responsible for 81 %.

regolite; subsolum; weathering; classification system

INTRODUCTION

Recent approaches such as Critical Zone and Planetary Boundaries ( Rockström et al., 2009Rockström J, Steffen W, Noone K, Persson A, Chapin FS III, Lambin E, Lenton TM, Scheffer M, Folke C, Schellnhuber HJ, Nykvist B, Wit CA, Hughes T, van der Leeuw S, Rodhe H, Sörlin S, Snyder PK, Costanza R, Svedin U, Falkenmark M, Karlberg L, Corell RW, Fabry VJ, Hansen J, Walker B, Liverman D, Richardson K, Crutzen P, Foley J. Planetary boundaries: exploring the safe operating space for humanity. Ecol Soc. 2009;14:32. ) shed light on the importance of the whole regolith to sustain ecosystems and the human societies ( Brantley et al., 2007Brantley SL, Goldhaber MB, Ragnarsdottir KV. Crossing disciplines and scales to understand the critical zone. Elements. 2007;3:307-14. https://doi.org/10.2113/gselements.3.5.307
https://doi.org/10.2113/gselements.3.5.3...
).

The regolith is the section of the lithosphere column changed by weathering, being further divided into soil and saprolite ( O’Brien and Buol, 1984O’Brien EL, Buol SW. Physical transformations in a vertical soil-saprolite sequence. Soil Sci Soc Am J. 1984;48:354-7. https://doi.org/10.2136/sssaj1984.03615995004800020026x
https://doi.org/10.2136/sssaj1984.036159...
). In shallow soils, saprolite is close to the surface and may become a nutrient source and water reservoir to plant development ( Melo et al., 1995Melo VF, Costa LM, Barros NF, Fontes MPF, Novais RF. Reserva mineral e caracterização mineralógica de alguns solos do Rio Grande do Sul. Rev Bras Cienc Solo. 1995;19:159-64. ; Pedron et al., 2009Pedron FA, Azevedo AC, Dalmolin RSD, Stürmer SLK, Menezes FP. Morfologia e classificação taxonômica de Neossolos e saprolitos derivados de rochas vulcânicas da formação Serra Geral no Rio Grande do Sul. Rev Bras Cienc Solo. 2009;33:119-28. https://doi.org/10.1590/S0100-06832009000100013
https://doi.org/10.1590/S0100-0683200900...
; Santos et al., 2017Santos JCB, Le Pera E, Souza Júnior VS, Côrrea MM, Azevedo AC. Gneiss saprolite weathering and soil genesis along an east-west regolith sequence (NE Brazil). Catena. 2017;150:279-90. https://doi.org/10.1016/j.catena.2016.11.031
https://doi.org/10.1016/j.catena.2016.11...
), but also as a shortcut for surface pollutants to reach underground water.

As a natural resource, characterization and mapping of saprolites are needed for their better use and management. Despite its importance, the concepts and definitions of saprolite are quite diverse, even controversial.

Conceptualization, definition, and characterization are standard operations to allow the registering, organization, classification, and mapping of saprolites. The establishment of a common procedure worldwide would provide the basis to share knowledge and collaborate towards a global understanding of this natural body.

Establishment of a sharp limit between soil and saprolite is debatable. However, classification systems require a definition of the object being classified. In this regard, the operational definition of saprolites should avoid overlapping the soil, that is, the same material should not be classified simultaneously into two classification systems.

At present, two saprolite classification systems were proposed in the soil science community. The Saprolite-Regolith Taxonomy - SRT ( Buol, 1994Buol SW. Saprolite-regolith taxonomy - an approximation. In: Cremeens DL, Brown RB, Huddleston JH, editors. Whole regolith pedology. Madison: Soil Science Society of America; 1994. p. 119-32. (Special publication, 34). ) defines the saprolite as “regolith material that have unconfined compressive strength less than 100 MPa, and are either not penetrated by plants roots, except at intervals greater than 0.10 m, or occur more than 2.00 m below the soil surface, whichever is shallower”. The Subsoil Reference Groups - SRG defines “saprolithic material is little affected by pedogenetic process and represents in situ weathering product of the original rock” ( Juilleret et al., 2016Juilleret J, Dondeyne S, Vancampenhout K, Deckers J, Hissler C. Mind the gap: a classification system for integrating the subsolum into soil surveys. Geoderma. 2016;264:332-9. https://doi.org/10.1016/j.geoderma.2015.08.031
https://doi.org/10.1016/j.geoderma.2015....
), and classifies the materials below the lower soil limit of the World Reference Base - WRB ( IUSS Working Group WRB, 2015IUSS Working Group WRB. World reference base for soil resources 2014, update 2015: International soil classification system for naming soils and creating legends for soil maps. Rome: Food and Agriculture Organization of the United Nations; 2015. (World Soil Resources Reports, 106). ).

This paper is based on the perception of two pedologists in describing regolith profiles and assigning the soil-saprolite boundary disregarding any classification system. The study aimed to identify the criteria pedologists use to assign to a certain regolith volume its nature as soil or saprolite, by comparing the saprolite and soil sets made by the algorithm to those made by the pedologists. By doing so, we could identify the laboratory measurements that correlate with other field perception.

MATERIALS AND METHODS

Obtaining the data

The data were collected from 25 regolith profiles (P1 to P25) described by Guerra (2015)Guerra AR. Saprolitos na região Sudeste do Brasil: morfologia, classificação e evolução física-geoquímica-mineralógica [tese]. Piracicaba: Escola Superior de Agricultura “Luiz de Queiroz”; 2015. and Santos (2015)Santos JCB. Saprolitologia aplicada à gênese e às implicações ambientais de regolitos do Estado de Pernambuco [tese]. Piracicaba: Escola Superior de Agricultura “Luiz de Queiroz”; 2015. in their thesis, summing up to 137 horizons and layers, developed from: granite, syenite, gneiss, schist, sandstone, and siltstone ( Table 1 ).

Table 1
Regolith profiles used in the decision tree algorithm

These profiles encompass the Caatinga, Savanna, and Atlantic Forest biomes ( Figure 1 ), subjected to semiarid, tropical, and semitropical climates ( Figure 2 ).

Figure 1
Profile of the Brazilian biomes ( IBGE, 2004Instituto Brasileiro de Geografia e Estatística - IBGE. Mapa de biomas do Brasil: primeira aproximação. Rio de Janeiro: IBGE; 2004. Escala 1:5.000.000. [cited 2019 Apr 25] Available from: http://www.terrabrasilis.org.br/ecotecadigital/images/Mapa%20de%20Biomas%20do%20Brasil%202%20-%20IBGE.pdf
http://www.terrabrasilis.org.br/ecotecad...
).

Figure 2
Profiles location and climate types in the two regions sampled. Af – Tropical rainforest climates; Am – Tropical monsoon climate; Aw – Tropical savanna climate; BSh – Hot semi-arid climate; BWh – Hot desert climate; Cfa – Humid subtropical climate; Cfb – Oceanic climate; Cwa – Humid subtropical climate; Cwb – Subtropical highland climate ( Peel et al., 2007Peel MC, Finlayson BL, McMahon TA. Updated world map of the Köppen-Geiger climate classification. Hydrol Earth Syst Sc. 2007;11:1633-44. https://doi.org/ 10.1590/1678-476620151054411415
https://doi.org/ 10.1590/1678-4766201510...
).

Analyzed variables

The variables measured into the lab and considered in the decision tree algorithm were chosen among the most affected by weathering and pedogenesis. Only samples analyzed by the same or similar procedures were considered.

The bulk density (Bd) was determined by the volumetric ring method. After measuring the dry mass (dm) and volume (dv) of the material, the bulk density (Mg m-3) was calculated by equation 1:

B d ( M g m - 3 ) = d m d v Eq . 1

It is worth noting that for profile 21 (P21) there is no result of bulk density for saprolite.

The particle density (Pd) was determined in Santos (2015)Santos JCB. Saprolitologia aplicada à gênese e às implicações ambientais de regolitos do Estado de Pernambuco [tese]. Piracicaba: Escola Superior de Agricultura “Luiz de Queiroz”; 2015. by the alcohol volumetric method ( Claessen, 1997Claessen MEC. Manual de métodos de análise de solo. 2. ed. Rio de Janeiro: Embrapa Solos; 1997. ) and in Guerra (2015)Guerra AR. Saprolitos na região Sudeste do Brasil: morfologia, classificação e evolução física-geoquímica-mineralógica [tese]. Piracicaba: Escola Superior de Agricultura “Luiz de Queiroz”; 2015. using the helium pycnometer method ( Danielson and Sutherland, 1986Danielson RE, Sutherland PL. Porosity. In: Klute A, editor. Methods of soil analysis: physical and mineralogical methods. 2nd ed. Madison: American Society of Agronomy; 1986. Pt 1. p. 443-61. ). The total porosity (TP) was estimated from the values of the bulk density (soil or saprolite) and the particle density (Pd) by the equation 2:

T P % = 1 B d P d × 100 Eq . 2

The selective extractions of iron were done with the dithionite-citrate-bicarbonate (FeDCB) and the ammonium oxalate (FeOA) methods described in Mehra and Jackson (1960)Mehra OP, Jackson ML. Iron oxide removal from soils and clays by a dithionite-citrate system buffered with sodium bicarbonate. In: Proceedings of the Seventh National Conference on Clays and Clay Minerals; October 1958; London. London: Pergamon Press; 1960. p. 317-27. and McKeague and Day (1966)McKeague JA, Day DH. Dithionite- and oxalate-extractable Fe and Al as aids in differentiating various classes of soils. Can J Soil Sci. 1966;46:13-22. https://doi.org/10.4141/cjss66-003
https://doi.org/10.4141/cjss66-003...
, respectively. The total elements (Fe2O3; Al2O3; CaO; MgO; K2O; Na2O; P2O5; and TiO2) were determined by digestion with acids (HNO3 and HClO4) and the elements were determined by mass spectrometry (ICP-MS) in the extract.

Data analysis

The decision tree algorithm used the recursive partition method and the Deviance function from the R software library ( Ripley, 2016Ripley B. Tree: classification and regression trees, R package version 1.0-37 [internet]. Boston: Free Software Foundation; 2016 [cited 2017 Oct 26]. Available from: http://CRAN.R-project.org/package=tree.
http://CRAN.R-project.org/package=tree...
). The algorithm provided a cutting value to split the initial set of samples into two subsets, and a looping procedure further splits each sub-set into two sub-sub-sets and so on, until a limit value is reached or a single object remains in the set. Metaphorically, the method splits the data as a tree splits from the trunk towards the branches and leaves. At each step, the procedures identify a variable and a cutting value that maximize an impurity measurement ( Rodrigues, 2005Rodrigues MAS. Árvores de classificação [monografia]. Ponta Delgada: Universidade dos Açores; 2005. ).

RESULTS AND DISCUSSION

The variables that contribute most to group the samples into subsets were Bd, FeDCB/FeOA, MgO, CaO, TP, and P2O5 ( Figure 3 ).

Figure 3
Decision tree scheme for the samples and cutting values of subsets.

Main variable

The most important variable was bulk density (Bd) which alone explained 81 % of the sample clustering, that is, bulk density was the variable that best fit the pedologists criteria to decide the place of the soil-saprolite boundary ( Tables 2 and 3 ).

Table 2
Bulk density along the regolith profiles in the Southeast ( Guerra, 2015Guerra AR. Saprolitos na região Sudeste do Brasil: morfologia, classificação e evolução física-geoquímica-mineralógica [tese]. Piracicaba: Escola Superior de Agricultura “Luiz de Queiroz”; 2015. )
Table 3
Bulk density along the regolith profiles in the Northeast ( Santos, 2015Santos JCB. Saprolitologia aplicada à gênese e às implicações ambientais de regolitos do Estado de Pernambuco [tese]. Piracicaba: Escola Superior de Agricultura “Luiz de Queiroz”; 2015. )

Saprolites usually have greater bulk density than soil ( Oliveira, 2012Oliveira RB. Identificação do limite entre solo e saprolito em Argissolos Bruno acinzentados derivados de rochas sedimentares [dissertação]. Santa Maria: Universidade Federal de Santa Maria; 2012. ) ( Figures 3 and 4a ), because saprolites tend to be less porous, have less organic carbon, and are also compressed by the weight of the overlaying soil. However, in the present paper, we found profiles in which the saprolite density was smaller than the soil density. In all cases, these profiles had a textural horizon ( Table 2 and Figure 4b ). The probable origin of the term “saprolite” dates back to the 19st century when Becker (1895)Becker GF. A reconnaissance of the goldfields of the southern Appalachians. Lansing: U.S. Government Printing Office; 1895. defined it as “the non-transported weathering product which has very little or none loss of volume as related to the original rock”. By this concept, the solid phase saprolite is both the residual and neoformed material, and the associated porous system ( Calvert et al., 1980Calvert CS, Buol SW, Weed SB. Mineralogical characteristics and transformations of a vertical rock-saprolite-soil sequence in the North Carolina Piedmont: I. Profile morphology, chemical composition, and mineralogy. Soil Sci Soc Am J. 1980;44:1096-103. https://doi.org/10.2136/sssaj1980.03615995004400050044x
https://doi.org/10.2136/sssaj1980.036159...
; Kretzschmar et al., 1997Kretzschmar R, Robarge WP, Amoozegar A, Vepraskas MJ. Biotite alteration to halloysite and kaolinite in soil-saprolite profiles developed from mica schist and granite gneiss. Geoderma. 1997;75:155-70. https://doi.org/10.1016/S0016-7061(96)00089-4
https://doi.org/10.1016/S0016-7061(96)00...
), resulted from rock weathering. Since the volume is maintained (isovolume) the loss of mass during the alteration of minerals imply in a decrease in bulk density and increase in the porous system ( Costa and Cleaves, 1984Costa JE, Cleaves ET. The Piedmont landscape of Maryland: a new look at an old problem. Earth Surf Proc Land. 1984;9:59-74. https://doi.org/10.1002/esp.3290090107
https://doi.org/10.1002/esp.3290090107...
). The further loss of isovolume in saprolites may occur both by collapse of the saprolite volume due to the overgrowth of the porous system beyond its capacity to sustain the weight of its own weight and of the soil column above it; or by expansion due to the formation of peds and increase in organic carbon ( Stolt et al., 1991Stolt MH, Baker JC, Simpson TW. Micromorphology of the soil-saprolite transition zone in Hapludults of Virginia. Soil Sci Soc Am J. 1991;55:1067-75. https://doi.org/10.2136/sssaj1991.03615995005500040029x
https://doi.org/10.2136/sssaj1991.036159...
).

Figure 4
Representative of the group of profiles where the density increases at the soil-saprolite boundary (a) and profiles where the density decreases at the soil-saprolite boundary (b).

For the sake of simplicity, soil materials were named “horizons” and saprolite materials, “layers”. The 81 % agreement obtained using only Bd (first node of the decision tree) means that it missed 15 horizons and 11 layers, from a total of 88 horizons and 49 layers ( Figure 5 ).

Figure 5
The decision tree output: total number of horizons/layers considered at each node (shaded rectangles), variable considered in the node (continuous rectangles) and number of horizons/layers in disagreement (circles).

The use of the variables of the three first nodes (Bd, FeDCB/FeOA, and MgO) increased the agreement only by 4 %, that is, up to 85 %, missing 7 horizons and 5 layers ( Figure 5 ). Using all the nodes/variables ( Figure 3 ), the final percentage of agreement between the tree and the pedologists were 93 %.

Most of the samples in disagreement were from metamorphic rocks, particularly schists ( Table 1 ). This suggests that it was more difficult for the pedologists to maintain their criteria when judging saprolite materials inherited from rocks with heterogeneous structure. As Price and Velbel (2003)Price JR, Velbel MA. Chemical weathering indices applied to weathering profiles developed on heterogeneous felsic metamorphic parent rocks. Chem Geol. 2003;202:397-416. https://doi.org/10.1016/j.chemgeo.2002.11.001
https://doi.org/10.1016/j.chemgeo.2002.1...
pointed out, saprolitic materials evolved from heterogeneous rocks are also heterogeneous, entangling the judgement.

Despite these difficulties, the FeDCB/FeOA ratio and Bd, taken together, resulted in an error in only three samples, when considering the gneisses. These profiles have in common thinner soil-saprolite transitions, all at depths smaller than 1.00 m. This observation suggests that the contribution of the FeDCB/FeOA ratio depends on the degree of weathering/pedogenesis and the abundance of Fe in the parent material.

Secondary variables

The variables other than Bd were considered secondary due to the much smaller contribution they did to the overall agreement between the pedologists and the decision tree ( Figure 3 ).

The total magnesium content (MgO) and the FeDCB/FeOA ratio increased only 4 % the agreement between pedologists and the decision tree (from 81 to 85 %), figure 4 . The use of variables, such as MgO, is very dependent on the parent material composition. On the other hand, because the ammonium oxalate (FeOA) solubilize preferentially the less crystalline oxides ( Schwertmann, 1973Schwertmann U. Use of oxalate for Fe extraction from soils. Can J Soil Sci. 1973;53:244-6. https://doi.org/10.4141/cjss73-037
https://doi.org/10.4141/cjss73-037...
), and the DCB (FeDCB) the pedogenic ones ( Mehra and Jackson, 1960Mehra OP, Jackson ML. Iron oxide removal from soils and clays by a dithionite-citrate system buffered with sodium bicarbonate. In: Proceedings of the Seventh National Conference on Clays and Clay Minerals; October 1958; London. London: Pergamon Press; 1960. p. 317-27. ), the ratio between the two is less dependent of the total amount of iron.

The fast precipitation of iron during the weathering of iron bearing minerals at the weathering front tends to produce less crystalline oxides, which further, during the pedogenesis, tend to reorganize themselves in more crystalline forms. Therefore, the FeDCB/FeOA ratio tends to increase as the profile evolves ( Stolt et al., 1991Stolt MH, Baker JC, Simpson TW. Micromorphology of the soil-saprolite transition zone in Hapludults of Virginia. Soil Sci Soc Am J. 1991;55:1067-75. https://doi.org/10.2136/sssaj1991.03615995005500040029x
https://doi.org/10.2136/sssaj1991.036159...
; Pedron et al., 2015Pedron FA, Oliveira RB, Dalmolin RSD, Azevedo AC, Kilca RV. Boundary between soil and saproilite in Alisols in the south of Brazil. Rev Bras Cienc Solo. 2015;39:643-53. https://doi.org/10.1590/01000683rbcs20140229
https://doi.org/10.1590/01000683rbcs2014...
).

CONCLUSIONS

The decision tree methodology allowed to estimate the best variable to separate soil from saprolite under the conditions of the present study was the bulk density of materials. This variable alone explained 81 % of the grouping of materials (soil/saprolite) performed by pedologists. The improvement brought by all the variables studied in this mathematical model resulted in 93 % agreement with the logic adopted by pedologists.

REFERENCES

  • Becker GF. A reconnaissance of the goldfields of the southern Appalachians. Lansing: U.S. Government Printing Office; 1895.
  • Brantley SL, Goldhaber MB, Ragnarsdottir KV. Crossing disciplines and scales to understand the critical zone. Elements. 2007;3:307-14. https://doi.org/10.2113/gselements.3.5.307
    » https://doi.org/10.2113/gselements.3.5.307
  • Buol SW. Saprolite-regolith taxonomy - an approximation. In: Cremeens DL, Brown RB, Huddleston JH, editors. Whole regolith pedology. Madison: Soil Science Society of America; 1994. p. 119-32. (Special publication, 34).
  • Calvert CS, Buol SW, Weed SB. Mineralogical characteristics and transformations of a vertical rock-saprolite-soil sequence in the North Carolina Piedmont: I. Profile morphology, chemical composition, and mineralogy. Soil Sci Soc Am J. 1980;44:1096-103. https://doi.org/10.2136/sssaj1980.03615995004400050044x
    » https://doi.org/10.2136/sssaj1980.03615995004400050044x
  • Claessen MEC. Manual de métodos de análise de solo. 2. ed. Rio de Janeiro: Embrapa Solos; 1997.
  • Costa JE, Cleaves ET. The Piedmont landscape of Maryland: a new look at an old problem. Earth Surf Proc Land. 1984;9:59-74. https://doi.org/10.1002/esp.3290090107
    » https://doi.org/10.1002/esp.3290090107
  • Danielson RE, Sutherland PL. Porosity. In: Klute A, editor. Methods of soil analysis: physical and mineralogical methods. 2nd ed. Madison: American Society of Agronomy; 1986. Pt 1. p. 443-61.
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    » https://doi.org/10.1016/j.geoderma.2015.08.031
  • Kretzschmar R, Robarge WP, Amoozegar A, Vepraskas MJ. Biotite alteration to halloysite and kaolinite in soil-saprolite profiles developed from mica schist and granite gneiss. Geoderma. 1997;75:155-70. https://doi.org/10.1016/S0016-7061(96)00089-4
    » https://doi.org/10.1016/S0016-7061(96)00089-4
  • McKeague JA, Day DH. Dithionite- and oxalate-extractable Fe and Al as aids in differentiating various classes of soils. Can J Soil Sci. 1966;46:13-22. https://doi.org/10.4141/cjss66-003
    » https://doi.org/10.4141/cjss66-003
  • Mehra OP, Jackson ML. Iron oxide removal from soils and clays by a dithionite-citrate system buffered with sodium bicarbonate. In: Proceedings of the Seventh National Conference on Clays and Clay Minerals; October 1958; London. London: Pergamon Press; 1960. p. 317-27.
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  • O’Brien EL, Buol SW. Physical transformations in a vertical soil-saprolite sequence. Soil Sci Soc Am J. 1984;48:354-7. https://doi.org/10.2136/sssaj1984.03615995004800020026x
    » https://doi.org/10.2136/sssaj1984.03615995004800020026x
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    » https://doi.org/10.1590/S0100-06832009000100013
  • Pedron FA, Oliveira RB, Dalmolin RSD, Azevedo AC, Kilca RV. Boundary between soil and saproilite in Alisols in the south of Brazil. Rev Bras Cienc Solo. 2015;39:643-53. https://doi.org/10.1590/01000683rbcs20140229
    » https://doi.org/10.1590/01000683rbcs20140229
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    » https://doi.org/ 10.1590/1678-476620151054411415
  • Price JR, Velbel MA. Chemical weathering indices applied to weathering profiles developed on heterogeneous felsic metamorphic parent rocks. Chem Geol. 2003;202:397-416. https://doi.org/10.1016/j.chemgeo.2002.11.001
    » https://doi.org/10.1016/j.chemgeo.2002.11.001
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  • Santos JCB, Le Pera E, Souza Júnior VS, Côrrea MM, Azevedo AC. Gneiss saprolite weathering and soil genesis along an east-west regolith sequence (NE Brazil). Catena. 2017;150:279-90. https://doi.org/10.1016/j.catena.2016.11.031
    » https://doi.org/10.1016/j.catena.2016.11.031
  • Schwertmann U. Use of oxalate for Fe extraction from soils. Can J Soil Sci. 1973;53:244-6. https://doi.org/10.4141/cjss73-037
    » https://doi.org/10.4141/cjss73-037
  • Stolt MH, Baker JC, Simpson TW. Micromorphology of the soil-saprolite transition zone in Hapludults of Virginia. Soil Sci Soc Am J. 1991;55:1067-75. https://doi.org/10.2136/sssaj1991.03615995005500040029x
    » https://doi.org/10.2136/sssaj1991.03615995005500040029x
  • Teixeira PC, Donagemma GK, Fontana A, Teixeira WG. Manual de métodos de análise de solos. 3. ed. Rio de Janeiro: Embrapa Solos; 2017.

Publication Dates

  • Publication in this collection
    27 June 2019
  • Date of issue
    2019

History

  • Received
    09 May 2018
  • Accepted
    25 Mar 2019
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