# Prediction of the soil saturated paste extract salinity from extractable ions, cation exchange capacity, and anion exclusion.

IntroductionThe saturated paste extract is the universal standard solution for soil salinity appraisal (Rhoades et al. 1999). However, 1: 5 soil to water (w/v) extracts are used in many instances instead for the same purpose (Rayment and Lyons 2011). Furthermore, the 1: 5 extracts have also been proposed for soil dispersion assessment instead of saturated paste extracts (Rengasamy et al. 1984; Sumner et al. 1998). The saturation extract is obtained from a soil saturated paste, preparation of which is time and labour intensive. It has escaped laboratory automation, firstly because the saturation water content is, in general, difficult to predict--it depends on several soil properties, mainly texture, clay mineralogy, and organic matter content, and therefore, the saturation point saturation point

*n.*

**1.**

*Chemistry*The point at which a substance will receive no more of another substance in solution.

**2.**The point at which no more can be absorbed or assimilated. has to be empirically determined; and secondly because, during water addition and mixing, the consistency of the soil paste changes from solid, to semi-solid, to plastic, which would demand laboratory machinery that is heavier than usual to stir the sticky semi-fluid mass.

The 1: 5 suspension, having a fixed soil to water ratio and a liquid consistency, is more readily prepared and extracted than the saturated paste. However, the water content in the 1:5 extract is usually 15-50 times greater than that of the field-moist soil. The saturated paste, although time and labour intensive, provides soil moisture content only 1.5-5 times field moisture levels. This makes saturated paste extract more representative of the soil solution than the 1: 5 extract.

An optimum method for soil salinity and dispersion appraisal should have the advantages of the preparation of the 1:5 suspension, and provide the information of the saturated paste extract. Such a method has been sought by several researchers (Sonmez et al. 2008; Chi and Wang 2010) through the following methodology: (i) obtain saturation and 1:5 extracts from the same set of soil samples; (ii) determine the relevant properties for salinity and dispersion assessment in both extracts, basically the electrical conductivity conductivity /con·duc·tiv·i·ty/ (kon?duk-tiv´i-te) the capacity of a body to transmit a flow of electricity or heat; the conductance per unit area of the body.

con·duc·tiv·i·ty

*n.*

**1.**at 25[degrees]C ([EC.sub.25]), main ion concentrations, and sodium adsorption adsorption, adhesion of the molecules of liquids, gases, and dissolved substances to the surfaces of solids, as opposed to absorption, in which the molecules actually enter the absorbing medium (see adhesion and cohesion). ratio (SAR (

**S**egmentation

**A**nd

**R**eassembly) The protocol that converts data to cells for transmission over an ATM network. It is the lower part of the ATM Adaption Layer (AAL), which is responsible for the entire operation. See AAL.

**SAR**- segmentation and reassembly ); (iii) calibrate To adjust or bring into balance. Scanners, CRTs and similar peripherals may require periodic adjustment. Unlike digital devices, the electronic components within these analog devices may change from their original specification. See color calibration and tweak. predictive equations usually by simple linear regression Simple linear regression

A regression analysis between only two variables, one dependent and the other explanatory. of the property of the saturated paste extract of interest on the corresponding property of the 1:5 extract; (iv) obtain and analyse 1:5 extracts from the soils to be tested; and (v) predict their saturated paste extracts properties using the regression equations.

The use of 1: 5 extracts to assess soil salinity and dispersion following this methodology can be, however, very misleading when the calibration set and the soil samples to be tested have significantly different water contents at saturation, and when there are soil samples with gypsum gypsum (jĭp`səm), mineral composed of calcium sulfate (calcium, sulfur, and oxygen) with two molecules of water, CaSO

_{4}·2H

_{2}O. It is the most common sulfate mineral, occurring in many places in a variety of forms. in the calibration and/or testing sets (Visconti et al. 2010a). To overcome these limitations, the regression equations have been improved by including other predictor variables, mainly the water content at saturation (Slavich and Petterson 1993), and/or developing different regression equations depending on gypsum presence and absence (Khorsandi and Yazdi 2011). Despite these improvements, the confidence intervals (95%) to predict the [EC.sub.25] and SAR of the saturated paste extracts using regression equations are seldom lower than [+ or -] 1 dS [m.sup.-1] and [+ or -] 1 [(mmol [L.sup.-1]).sup.1/2], respectively, which give average relative standard deviations not lower than 20 and 13%. These errors are large enough to prevent the use of regression equations in applications demanding more than an estimate.

Process-based models could be an alternative to regression equations in order to achieve lower prediction errors. For example, Rieu et al. (1998) designed a model to calculate the soil solution and exchange complex equilibrium composition at different water contents. It was specifically tested to simulate the dilution and concentration of the soil solution between saturation and the 1:5 soil to water ratio, giving promising results. Analytical data requirements to predict the saturated paste extract composition included, in addition to the main ion concentrations in the 1:5 extract, the C[O.sub.2] partial pressure, calcite calcite (kăl`sīt), very widely distributed mineral, commonly white or colorless, but appearing in a great variety of colors owing to impurities. and gypsum contents, cation exchange capacity In soil science,

**cation exchange capacity**(CEC) is the capacity of a soil for ion exchange of positively charged ions between the soil and the soil solution. A positively-charged ion, which has fewer electrons than protons, is known as a cation due to its attraction to cathodes. (CEC (

**C**entral

**E**lectronic

**C**omplex) The set of hardware that defines a mainframe, which includes the CPU(s), memory, channels, controllers and power supplies included in the box. Some CECs, such as IBM's Multiprise 2000 and 3000, include data storage devices as well. ), and the extractable contents of soil cations. However, whether all of these data are necessary and sufficient to make accurate enough predictions with this type of model has not been investigated.

The objective of this work was to find out the minimum set of hypotheses, and thus data, that process-based models need to make reliable enough predictions of saturated paste extract main ion composition, and therefore [EC.sub.25] from extractable ion contents, which are obtained from 1: 5 extracts for anions and ammonium acetate

**Ammonium acetate**is a chemical compound with the formula NH

_{4}C

_{2}H

_{3}O

_{2}. It is a white solid, which can be derived from the reaction of ammonia and acetic acid. It is available commercially, and depending on grade, can be rather inexpensive. extracts for cations.

Materials and methods

Study area and sampling

Soil sampling was carried out in the irrigated agricultural area of the Segura River Lowland (Vega Baja del Segura-Baix Vinalopr) in SE Mediterranean Spain. The soils are cbaracterised by high calcium carbonate calcium carbonate, CaCO

_{3}, white chemical compound that is the most common nonsiliceous mineral. It occurs in two crystal forms: calcite, which is hexagonal, and aragonite, which is rhombohedral. equivalent contents, are medium to very low in organic matter, medium- to fine-textured, base-saturated, non-sodic, slightly to moderately saline, and non-gypsiferous with some exceptions. These irrigated soils are mostly classified as Xerofluvents (Soil Survey Staff 1999) or Calcaric Fluvisols/Haplic Calcisols (FAO FAO,

*n*See Food and Agriculture Organization. 1998). In total, 39 points were sampled. At each sampling location, two, three, or four samples were taken at four depths (0-10, 10-30, 30-65, and 65-95cm). The soil samples were air-dried, ground, and sieved through a 2-mm mesh sieve in the laboratory. More details about the study area, soils, and sampling can be found in Visconti (2009).

Obtainment and analysis of soil water extracts

In total, 133 soil samples were used in this study. The water used to prepare all extracts had an [EC.sub.25] [approximately equal to] 1 [micro]S [cm.sup.-1]. Soil saturated paste extracts were prepared and obtained according to according to

*prep.*

**1.**As stated or indicated by; on the authority of: according to historians.

**2.**In keeping with: according to instructions.

**3.**the method of Rhoades (1996), with the only stipulation

*An agreement between attorneys that concerns business before a court and is designed to simplify or shorten litigation and save costs.*

During the course of a civil lawsuit, criminal proceeding, or any other type of litigation, the opposing attorneys may come to an agreement that no sodium hexametaphosphate

**Sodium hexametaphosphate**(

**SHMP**)

**(E452(i))**is a hexamer of composition (NaPO

_{3})

_{6}. "Sodium hexametaphosphate" of commerce is a mixture of polymeric metaphosphates, of which the hexamer is one, and is usually the compound referred to by this name. was added to the extract. The gravimetric gravimetric /grav·i·met·ric/ (grav?i-me´trik) pertaining to measurement by weight; performed by weight, as a gravimetric method of drug assay.

grav·i·met·ric

*adj.*

**1.**water content at saturation was determined on a paste subsample sub·sam·ple

*n.*

A sample drawn from a larger sample.

*tr.v.*

**sub·sam·pled**,

**sub·sam·pling**,

**sub·sam·ples**

To take a subsample from (a larger sample). by means of oven-drying at 105[degrees]C. The 1:5 suspensions were prepared by adding 60 mL of water to 12 g of soil, and were shaken for 24 h. The extracts were obtained by centrifugation Centrifugation

A mechanical method of separating immiscible liquids or solids from liquids by the application of centrifugal force. This force can be very great, and separations which proceed slowly by gravity can be speeded up enormously in centrifugal at 1400[g.sub.N] for 10 min. The solutions were then decanted and filtered.

The [EC.sub.25], pH, and alkalinity al·ka·lin·i·ty

*n.*

The alkali concentration or alkaline quality of a substance that contains alkali.

alkalinity

1. the quality of being alkaline.

2. of all the extracts were determined within 2 h of collection. The [EC.sub.25] was measured with a Crison microCM 2201 conductivity meter (Crison Instruments SA, Barcelona, Spain) with a temperature probe and standard conductivity cell constant of 1.1 [cm.sup.-1], which was checked every day with a traceable KCl standard solution of 1413 [micro]S [cm.sup.-1]. The pH was measured with a Crison GLP See gateway location protocol. 22 pH meter (Crison Instruments SA) that was previously calibrated cal·i·brate

*tr.v.*

**cal·i·brat·ed**,

**cal·i·brat·ing**,

**cal·i·brates**

**1.**To check, adjust, or determine by comparison with a standard (the graduations of a quantitative measuring instrument): every day with traceable standard solutions of pH 7.02 and 9.21. The alkalinity was determined by potentiometric titration

**Potentiometric titration**is a technique similar to direct titration. No indicator is used; instead the voltage across the analyte is measured. To do this, two electrodes are used, a neutral electrode and a standard reference electrode. with location of the equivalence point

**Equivalence point**or stoichiometric point occurs during a chemical titration when the amount of titrant added is equivalent, or equal, to the amount of analyte present in the sample. according to the Gran (1952) methodology. Both the saturated paste and 1:5 extracts were analysed for sodium ([Na.sup.+]), potassium ([K.sup.+]), magnesium ([Mg.sup.2+]), calcium ([Ca.sup.2+]), ammonium ammonium /am·mo·ni·um/ (ah-mo´ne-um) the hypothetical radical, NH4, forming salts analogous to those of the alkaline metals.

**ammonium carbonate**(N[H.sub.4.sup.+]), sulfate sulfate, chemical compound containing the sulfate (SO

_{4}) radical. Sulfates are salts or esters of sulfuric acid, H

_{2}SO

_{4}, formed by replacing one or both of the hydrogens with a metal (e.g., sodium) or a radical (e.g., ammonium or ethyl). (S[O.sub.4.sup.2-]), chloride ([Cl.sup.-]), nitrite

**nitrite**

Any salt or ester of nitrous acid (HNO

_{2}). The salts are inorganic compounds with ionic bonds, containing the nitrite ion (NO

_{2}

^{−}) and any cation. (N[O.sub.2.sup.-]), and nitrate nitrate, chemical compound containing the nitrate (NO

_{3}) radical. Nitrates are salts or esters of nitric acid, HNO

_{3}, formed by replacing the hydrogen with a metal (e.g., sodium or potassium) or a radical (e.g., ammonium or ethyl). (N[O.sub.3.sup.-]) within 4 days of extract collection. Both anions and cations were detected and measured by ion chromatography

**Ion-exchange chromatography**(or

*ion chromatography*) is a process that allows the separation of ions and polar molecules based on the charge properties of the molecules. in a Dionex DX-120 ion chromatograph chromatograph /chro·mato·graph/ (kro-mat´o-graf)

**1.**the apparatus used in chromatography.

**2.**to analyze by chromatography.

chromatograph

1. to analyze by chromatography.

2. (Dionex Corp., Palo Alto

**Palo Alto, city, California**

Palo Alto (păl`ō ăl`tō), city (1990 pop. 55,900), Santa Clara co., W Calif.; inc. 1894. Although primarily residential, Palo Alto has aerospace, electronics, and advanced research industries. , CA, USA) with conductivity cell detector. More details about the obtainment and analyses of soil water extracts can be found elsewhere (Visconti 2009; Visconti et al. 2010b). The complete dataset used in this study can be found in Visconti (2009).

Determination of cation exchange capacity and soil cations

The CEC was analysed by the 'displacement after washing' method of Chapman (1965), which uses: (i) sodium acetate

**Sodium acetate**, (also rarely,

**sodium ethanoate**) is the sodium salt of acetic acid. It is an inexpensive chemical produced in industrial quantities for a wide range of uses. 1 M at pH 8.2 to saturate sat·u·rate

*v.*

*Abbr.*

**sat.**

**1.**To imbue or impregnate thoroughly.

**2.**To soak, fill, or load to capacity.

**3.**To cause a substance to unite with the greatest possible amount of another substance. the exchange complex, (ii) ethanol to wash of excess saturating solution, (iii) ammonium acetate 1 M at pH 7 to displace dis·place

*tr.v.*

**dis·placed**,

**dis·plac·ing**,

**dis·plac·es**

**1.**To move or shift from the usual place or position, especially to force to leave a homeland: sodium, and (iv) determination by atomic absorption spectrometry Absorption spectrometry

A scientific procedure to determine chemical makeup of samples.

Mentioned in: Herbalism, Traditional Chinese (AAS). Extractable [Na.sup.+], [K.sup.+], and [Mg.sup.2+] contents soil were obtained by five sequential ammonium acetate 1 M extractions, followed by AAS determination (Visconti 2009).

The exchangeable contents of [Na.sup.+], [K.sup.+], and [Mg.sup.2+] at water saturation ([m.sub.EXCi]([[theta Theta

A measure of the rate of decline in the value of an option due to the passage of time. Theta can also be referred to as the time decay on the value of an option. If everything is held constant, then the option will lose value as time moves closer to the maturity of the option. ].sub.sat])) were determined by subtracting the saturated paste extract cation cation (kăt'ī`ən), atom or group of atoms carrying a positive charge. The charge results because there are more protons than electrons in the cation. contents ([m.sub.SSi]([[theta].sub.sat])) from extractable contents ([m.sub.Ti]). This calculation was carried out with Eqn 1 where [[theta].sub.sat] is used to indicate that the properties were determined at the saturation water content.

[m.sub.EXCi]([[theta].sub.sat]) = [m.sub.Ti] - [m.sub.SSi]([[theta].sub.sat]) (1)

Since the soils are calcareous calcareous /cal·car·e·ous/ (kal-kar´e-us) pertaining to or containing lime; chalky.

cal·car·e·ous

*adj.*and some contain also significant amounts of gypsum, the soil exchangeable [Ca.sup.2+] content was determined by subtracting the sum of exchangeable cations [Na.sup.+], [K.sup.+], and [Mg.sup.2+] from the CEC.

Reporting of results

All mean values in this study have been reported as the 95% confidence interval confidence interval,

*n*a statistical device used to determine the range within which an acceptable datum would fall. Confidence intervals are usually expressed in percentages, typically 95% or 99%. for the mean (mean [+ or -] standard error x [t.sub.0.05]).

Assessment of prediction errors

The standardised difference (S[D.sub.i]) between the observed value ([O.sub.i]) for a property in the replicate i of the system being simulated, that is the soil samples, and the corresponding model prediction ([P.sub.i]) was calculated with Eqn 2:

S[D.sub.i] = ([O.sub.i]- [P.sub.i])/([O.sub.i] + [P.sub.i]) (2)

The properties of the SD are listed elsewhere (Visconti 2009). The most important are that it is dimensionless, is bounded within the interval [-1, 1], and is normally distributed more frequently than the residual difference [O.sub.i] - [P.sub.i]. The SD was used in this investigation to compare observations and model predictions. The Student's t-test for the mean SD of each property was used as criterion for model validation. Other classical validation parameters (Loague and Green 1991) such as maximum error and root mean square error are also reported in this study.

Criterion for statistical significance The high number of replicates of the system under study (n = 133) gave rise to t-tests with high statistical power. This was calculated to be equal to 0.997 if balanced Type I and Type II error risks were chosen ([alpha] = [beta]). If this was the case, then [alpha] = [beta] = 0.003, and therefore a P-value <0.003 was regarded as providing a statistically significant evidence of departure from the null hypothesis null hypothesis,

*n*theoretical assumption that a given therapy will have results not statistically different from another treatment.

null hypothesis,

*n*, i.e. that the mean SD was significantly different from zero.

First approach: preliminary model of dilution factor

The most simple approach for assessing the ion concentrations in the saturated paste extract ([c.sub.SEi]) from the 1:5 extract ([c.sub.1:5i]) was based on just the principle of matter conservation as given by Eqn 3. This approach is called 'preliminary model of dilution factor'. In Eqn 3, [[theta].sub.gsat] and [[theta].sub.g1:5] are, respectively, the gravimetric soil water content at saturation and of the 1:5 suspension from which the 1:5 extract is obtained, both in g [g.sup.-1].

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII ASCII or American Standard Code for Information Interchange, a set of codes used to represent letters, numbers, a few symbols, and control characters. Originally designed for teletype operations, it has found wide application in computers. ] (3)

The expected pH of the saturated paste ([pH.sub.SP]) and electrical conductivity at 25[degrees]C of the saturated paste extract ([EC.sub.SE]) were simulated with the chemical speciation

**speciation**

Formation of new and distinct species, whereby a single evolutionary line splits into two or more genetically independent ones. One of the fundamental processes of evolution, speciation may occur in many ways. program SALSOLCHEMIS (Visconti et al. 2010c), using as inputs the ion concentrations predicted with Eqn 3 ([c.sub.SEi]), the C[O.sub.2] partial pressure in the saturated paste (pC[O.sub.2SP]), and ion pair formation constants collected in Lindsay (1979) except for the formation of the ion pairs CaC[O.sub.3.sup.o] and CaHC[O.sub.3.sup.+]. It was assumed that these ion pairs do not form (Visconti et al. 2010c). As the pC[O.sub.2SP] depends on the soil organic matter content and the soil depth, the following values ofpCO2sP were used: [10.sup.-0.744], [10.sup.-0.954], and [10.sup.-1.144] kPa for the 0-10, 10-35, and 35-95 cm soil layers, respectively. These pC[O.sub.2SP] are mean values for each soil depth, which were estimated calculating the chemical speciation of the solution in the saturated pastes, again by means of the chemical speciation software SALSOLCHEMIS (Visconti et al. 2010c). The inputs to SALSOLCHEMIS were, in addition to the chemical equilibrium chemical equilibrium, state of balance in which two opposing reversible chemical reactions proceed at constant equal rates with no net change in the system. For example, when hydrogen gas, H

_{2}, and iodine gas, I

_{2}constants, the ion composition of the saturation extracts and the [pH.sub.SP]. The EC was calculated from the main ion contents according to Visconti et al. (2010b).

Second approach: equilibrium with calcite, gypsum, and C[O.sub.2]

In heavily calcareous and more or less gypsiferous soils, calcite and gypsum weathering and precipitation exert a remarkable effect on their soil solution main ion contents, and thus salinity (Suarez 2005). The main ion concentration in equilibrium with these two minerals and C[O.sub.2] can be calculated with chemical equilibrium models such as SALSOLCHEM, which is part of the SALTIRSOIL model (Visconti et al. 2011). The concentrations of main ions in the saturated paste extract previously predicted (Eqn 3), in addition to the C[O.sub.2] in the saturated paste (pC[O.sub.2SP]) previously calculated, were used as input data to SALSOLCHEM. Also, the same ion pair formation constants that were used in the first approach were used here. Additionally, the values 4.62 and 8.29 were, respectively, taken as the solubility

**solubility**

Degree to which a substance dissolves in a solvent to make a solution (usually expressed as grams of solute per litre of solvent). Solubility of one fluid (liquid or gas) in another may be complete (totally miscible; e.g. products (i.e. pKs) of gypsum and calcite (Visconti et al. 2010c).

Third approach: additional equilibrium with the exchange Complex

In medium- to fine-textured soils, the equilibrium with the exchange complex exerts another profound influence, not so much in the salinity, but in the specific contents of the soil solution ions, mainly cations. The hypothesis of equilibrium with the exchange complex was introduced in SALSOLCHEM, giving a new model called SALSOLCHEMEC (Visconti 2011). The composition of the soil solution and the exchange complex freely allowed to equilibrate e·quil·i·brate

*v.*

**e·quil·i·brat·ed**,

**e·quil·i·brat·ing**,

**e·quil·i·brates**

*v.*

*intr.*

To be in or bring about equilibrium.

*v.*

*tr.*

To maintain in or bring into equilibrium. with each other, and also with calcite, gypsum, and C[O.sub.2] in the saturated paste, was simulated.

The inputs to SALSOLCHEMEC include the contents of soil extractable ions referred to a dry soil basis ([m.sub.Ti]) plus the CEC, all expressed in units of [mmol.sub.C] [kg.sup.-1], and the gravimetric water content at saturation ([[theta].sub.gsat]). The extractable contents of soil anions [Cl.sup.-], N[O.sub.3.sup.-], and S[O.sub.4.sup.2-] and also alkalinity were calculated from their concentrations in the 1: 5 extract ([c.sub.1:51]) and the water content of the 1:5 suspension ([[theta].sub.g1:5]) using Eqn 4, where [z.sub.i] stands for the charge of the anion anion (ăn`ī'ən), atom or group of atoms carrying a negative charge. The charge results because there are more electrons than protons in the anion. i in units of [mol.sub.c] [mol.sup.-1] and [[rho].sub.w] for the water density in kg [L.sup.-1]:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (4)

The extractable contents of ==[Na.sup.+], [K.sup.+], and [Mg.sup.2+] ([m.sub.Ti]) were determined as described above in the subsection subsection

*Noun*

any of the smaller parts into which a section may be divided

**Noun**

**1.**

**subsection**- a section of a section; a part of a part; i.e. Determination of cation exchange capacity and soil cations. The extractable contents of [Ca.sup.2+] ([m.sub.TCa]) were obtained following two different methods. On the one hand, for the 122 soils not at equilibrium with gypsum in the 1:5 extract, the exchangeable [Ca.sup.2+] content in the 1:5 suspension ([m.sub.EXCCa]([[theta].sub.1:5])) was added to the [Ca.sup.2+] content in the 1:5 extract ([m.sub.SSCa]([[theta].sub.1:5])), through Eqn 5 (see Appendix 1):

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (5)

On the other hand, for the 11 soils at equilibrium with gypsum in the 1:5 extract, the equivalent charge of extractable cations was subtracted from the equivalent charge of extractable anions plus CEC through Eqn 6:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (6)

The same hypotheses regarding the thermodynamic equilibrium In thermodynamics, a thermodynamic system is said to be in

**thermodynamic equilibrium**when it is in thermal equilibrium, mechanical equilibrium, and chemical equilibrium. The local state of a system at thermodynamic equilibrium is determined by the values of its intensive constants for the formation of ion pairs and the solubility products of calcite and gypsum, and also the values of pC[O.sub.2SP], which were previously used, were used in the SALSOLCHEMEC simulations.

The cation exchange cation exchange

*n.*

A chemical process in which cations of like charge are exchanged equally between a solid, such as zeolite, and a solution, such as water. was simulated with SALSOLCHEMEC, including the exchange equilibria of [Ca.sup.2+] by [Na.sup.+] (Ca [right arrow] Na), by [K.sup.+] (Ca [right arrow] K), and by [Mg.sup.2+] (Ca [right arrow] Mg) through the respective Kerr selectivity selectivity /se·lec·tiv·i·ty/ (se-lek-tiv´i-te) in pharmacology, the degree to which a dose of a drug produces the desired effect in relation to adverse effects.

selectivity

1. coefficients in activities (Table 1). The use of the Kerr, Vanselow, or Gaines-Thomas equations and the three binary cation combinations involving calcium resulted in the most effective way of modelling the exchange equilibria of [Na.sup.+], [K.sup.+], [Ca.sup.2+], and [Mg.sup.2+] in calcareous illitic soils (V1sconti et al. 2012). The values of the selectivity coefficients were -0.85 [+ or -] 0.03, 0.47 [+ or -] 0.03, and 0.26 [+ or -] 0.04 for [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], respectively (Visconti et al. 2012). To calculate the selectivity coefficients and saturation status regarding gypsum, the activities of the cations in the extracts had been calculated previously with the chemical speciation program SALSOLCHEMIS (Visconti et al. 2010c).

Fourth approach: salt retention in the diffuse double layer (DDL

**(1)**(

**D**ata

**D**escription

**L**anguage) A language used to define data and their relationships to other data. It is used to create the data structure in a database. Major database management systems (DBMSs) use a SQL data description language. )

In slightly to moderately saline calcareous illitic soils, the differential distribution of anions and cations from the colloid colloid (kŏl`oid) [Gr.,=gluelike], a mixture in which one substance is divided into minute particles (called colloidal particles) and dispersed throughout a second substance. surfaces into the bulk soil solution (BSS See 802.11.

**BSS**- Block Started by Symbol ) gives rise to the existence of salt retention in the diffuse double layer (DDL). These salts within the DDL could be extracted with high-pressure techniques such as centrifugation, but not with low-pressure techniques.

Ion contents in the DDL and effective cation exchange capacity

The hypothesis of salts retained within the DDL was introduced in this approach. Accordingly, the anion contents within the DDL ([m.sub.DDLi]) were calculated by subtraction subtraction, fundamental operation of arithmetic; the inverse of addition. If

*a*and

*b*are real numbers (see number), then the number

*a*−

*b*is that number (called the difference) which when added to

*b*(the subtractor) equals using Eqn 7. In this equation, [m.sub.Ti] is the soil extractable content of the anion i calculated with Eqn 4, and [m.sub.BSSi] is the content of the soil anion i in the saturated paste extract (Eqn 8), which was taken as representative of the BSS, i.e. the soil solution outside the DDL:

[m.sub.DDLi] = [m.sub.Ti] - [m.sub.BSSi] (7)

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (8)

In this fourth simulation, an effective CEC ([CEC.sub.ef]) was assessed by adding the sum of anion contents inside the DDL [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] to the CEC analytically determined. In the soils at equilibrium with gypsum in the saturated paste extract, the S[O.sub.4.sup.2-] content could not be calculated using the methodology just described. This is because in these soils the difference between the soil extractable [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] as calculated with Eqn 4 and the S[O.sub.4.sup.2-] content in the BSS [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] as given by Eqn 8 is equal to the sum of S[O.sub.4.sup.2-] in the DDL plus the S[O.sub.4.sup.2-] precipitated as gypsum in the saturated paste extract but not in the 1:5 extract. For the [CEC.sub.ef] calculation, the S[O.sub.4.sup.2-] content in the DDL of these soils was taken equal to the mean S[O.sub.4.sup.2-] content in the DDL of the soils not at equilibrium with gypsum in the saturated paste extract, which was 5.2 [mmol.sub.C] [kg.sup.-1].

The contents of [Na.sup.+], [K.sup.+], and [Mg.sup.2+] in the DDL were taken equal to the exchangeable contents which were determined as described above in the subsection Determination of cation exchange capacity and soil cations. The [Ca.sup.2+] content in the DDL was calculated by subtraction of the [Na.sup.+], [K.sup.+], and [Mg.sup.2+] contents in the DDL from the [CEC.sub.ef].

Saturated paste extract and exchange complex Composition

The same equilibrium constants and C[O.sub.2] partial pressure used in the previous approaches were used in this one, with the exception of the selectivity coefficients for cation exchange. These were recalculated according to the methodology described in the third approach, using this time the cation contents in the DDL to give -0.89 [+ or -] 0.03, 0.44 [+ or -] 0.03, and 0.20 [+ or -] 0.03 for [logK.sub.CaNa], [logK.sub.CaK], and [logK.sub.CaMg], respectively. The contents of [Cl.sup.-], N[O.sub.2.sup.-], and N[O.sub.3.sup.-] in the bulk soil solution calculated with Eqn 8 ([m.sub.BSSi]) were used instead of their extractable soil contents calculated with Eqn 4 ([m.sub.Ti]). The contents of sulfate in the BSS were calculated in the same way with the exception of the soils at equilibrium with gypsum in the saturated paste extract. In this case, the contents of S[O.sub.4.sup.2-] in the BSS were obtained by subtracting the value of 5.2 [mmol.sub.C] [kg.sup.-1] from the extractable sulfate S[O.sub.4.sup.2-] contents (mvso,).

Results

First approach: preliminary model of dilution factor

The mean SD between observations and predictions for all the properties presented a negative value (Table 2), which was significantly different from zero except for N[O.sub.2.sup.-] (Table 2). This reflects the overestimation o·ver·es·ti·mate

*tr.v.*

**o·ver·es·ti·mat·ed**,

**o·ver·es·ti·mat·ing**,

**o·ver·es·ti·mates**

**1.**To estimate too highly.

**2.**To esteem too greatly. of all properties, as can be observed in the scatter plots of predictions against observations (Fig. 1). For many soil samples, the alkalinity, [Ca.sup.2+], and S[O.sub.4.sup.2-] Concentrations showed great differences between calculated and observed values, with maximum errors of 55.9 [mmol.sub.c] [L.sup.-1] (+2100%) for alkalinity, 248 mmol [L.sup.-1] (+1400%) for [Ca.sup.2+], and 281 mmol [L.sup.-1] (+1500%) for S[O.sub.4.sup.2-]. In the scatter plots of [Ca.sup.2+] and S[O.sub.4.sub.2-] observations against predictions, two areas can be distinguished, which have been separated by a dotted line in Fig. 1d and i. Under the dotted line, the observations and predictions were strongly associated, with correlation coefficients of 0.90 ([Ca.sup.2+]) and 0.94 (S[O.sub.4.sup.2-]). Over the dotted line, the correlation coefficients were siguificanfly lower, with values of 0.54 ([Ca.sup.2+]) and 0.12 (S[O.sub.4.sup.2-]). The uncorrelated points in both graphs correspond to the same soil samples. From these 20 samples, 11 are at equilibrium with gypsum both in the saturated paste extract and in the 1:5 soil to water extract, i.e. the p value of the ionic i·on·ic

*adj.*

Of, containing, or involving an ion or ions.

ionic

pertaining to an ion or ions.

**ionic medication**

iontophoresis. activity product (plAP) is between 4.62 and 4.72 in both extracts. As a consequence of the overestimation of all ions, the [EC.sub.SE] was also overestimated.

Statistical studies of residual errors ([O.sub.i] - [P.sub.i]) have been used with the aim of finding the origin of prediction errors in environmental pollution models (Kirchner et al. 1996; Knightes and Cyterski 2005). Instead of the residual errors, in the present work the standardised differences (S[D.sub.i]) were used with the same purpose. The matrix of product-moment correlation coefficients between the SDs of predictions and observations of the 12 properties was calculated (Table 3).

The SD of the [EC.sub.SE] was strongly correlated (r >0.77) with the SDs of [Ca.sup.2+], [Mg.sup.2+], and S[O.sub.4.sup.2-] in that order. The SDs of [Mg.sup.2+] and [Ca.sup.2+] (r=0.92), [Ca.sup.2+] and S[O.sub.4.sup.2-] (r=0.80), and to a lesser extent pH and alkalinity (r = 0.59), were also strongly correlated.

Second approach: equilibrium with calcite, gypsum, and C[O.sub.2]

The maximum errors for alkalinity, [Ca.sup.2+] and S[O.sub.4.sup.2-] remarkably decreased from 56 to 27 [mmol.sub.C] [L.sup.-1], from 248 to 7.6 [mmol.sub.C] [L.sup.-1], and from 281 to 48 [mmol.sub.C] [L.sup.-1], respectively (Tables 2 and 4). The areas of low correlation between predictions and observations of [Ca.sup.2+] and S[O.sub.4.sup.2-] in the preliminary approach (Fig. 1d and i) disappeared. The mean SD of alkalinity and pH became closer to zero. The mean SD of S[O.sub.4.sup.2-] also became closer to zero, but less so than for alkalinity and [pH.sub.SP]. The mean SD of [Ca.sup.2+] changed from -39 [+ or -] 3% to 39 [+ or -] 6%. Although it did not significantly change (in absolute value), the [Ca.sup.2+] concentration became the only property underestimated until then. This is shown in Fig. 2a, where most of the points in the [Ca.sup.2+] scatter plot See scatter diagram. are under the diagonal line (compare with Fig. ld).

The other soil solution properties ([Na.sup.+], [Cl.sup.-], etc.) logically presented the same concentrations in this second approach as in the first. As a consequence of the decrements in the concentrations predicted for [Ca.sup.2+], S[O.sub.4.sup.2-], and alkalinity, the predicted mean [EC.sub.SE] value also became closer to zero, with a mean SD decrement To subtract a number from another number. Decrementing a counter means to subtract 1 or some other number from its current value. from -28 [+ or -] 2% to -17 [+ or -] 1%. However, despite the greater closeness between observations and predictions that were attained introducing the hypothesis of equilibrium with calcite and gypsum, the mean SDs of alkalinity, [Ca.sup.2+], S[O.sub.4.sup.2-], [EC.sub.SE], and [pH.sub.SP] were still significantly different from zero (Table 4).

The product-moment correlation coefficients among the SDs of the 12 properties (Table 5) were calculated again. The highest correlation coefficients in absolute value were between the SDs of [Ca.sup.2+], alkalinity, and pH ([absolute value of r] > 0.85). Therefore, the association between the predictive errors of alkalinity and pH increased regarding the preliminary model, and furthermore the [Ca.sup.2+] was added to this association. The correlation coefficient Correlation Coefficient

A measure that determines the degree to which two variable's movements are associated.

The correlation coefficient is calculated as: between the SDs of [EC.sub.SE] and [Mg.sup.2+] was very similar to these latter (r = 0.86). Another interesting high correlation coefficient was between the SDs of [EC.sub.SE] and S[O.sub.4.sup.2-] (r = 0.61). Therefore, the predictive error of the [EC.sub.SE] was still associated with [Mg.sup.2+], and S[O.sub.4.sup.2-], but this latter less than previously, which was 0.77. On the other hand, the correlation coefficient of the SDs of [EC.sub.SE] and [Ca.sup.2+], which was the highest with the preliminary model, decreased from 0.94 to 0.06. Another interesting observation was the decrease in the correlation coefficient between the SDs of [Ca.sup.2+] and S[O.sub.4.sup.2-], which changed from 0.81 with the preliminary model to 0.52 in this second approach.

[FIGURE 1 OMITTED]

Third approach: further equilibrium with the exchange Complex

Saturated paste extract composition

The mean SD became closer to zero for [K.sup.+], alkalinity, [Ca.sup.2+], [Na.sup.+], [Mg.sup.2+], and S[O.sub.4.sup.2-]. According to all these decrements, the mean SD for the [EC.sub.SE] prediction also became closer to zero, going from -16.5 [+ or -] 1.0 to -7.3 [+ or -] 0.7% (Table 6). Furthermore, the mean SD of prise also became closer to zero, going from -2.0 [+ or -] 0.3% to 0.22 [+ or -] 0.11%. The predictions of [K.sup.+], alkalinity, [Ca.sup.2+], [Na.sup.+], [Mg.sup.2+], S[O.sub.4.sup.2-], [EC.sub.SE], and pH improved regarding the previous approach (Fig. 3). Despite the remarkable improvement, the mean SD of all the properties of the saturated paste extract, except [K.sup.+], was still significantly overestimated.

[FIGURE 2 OMITTED]

Exchange complex composition

The exchange complex composition could also be calculated in this simulation. The following mean SDs ordered from the lowest to the highest: 0.1 [+ or -] 0.2% ([K.sub.EXC EXC Exception

EXC Excellent Condition

EXC Excellency

EXC Enduro Cross Country (motorcycle racing/riding style)

EXC Electronic Cross Connect (Nortel)

EXC Exchange Component

EXC Exclusion Dictionary ]), 0.7 [+ or -] 0.8% ([Mg.sub.EXC]), 1.7 [+ or -] 1.7% ([Na.sub.EXC]), and -3.1 [+ or -] 1.0% ([Ca.sub.EXC]) were calculated respectively (Table 6). The mean SD could be regarded as non-significantly different from zero for [K.sup.+], [Mg.sup.2+], and [Na.sup.+] in this order, but certainly not for [Ca.sup.2+]. Therefore, contrary to what occurred with the saturated paste extract composition, the exchangeable complex composition was satisfactorily predicted, with the exception of [Ca.sup.2+].

Fourth approach: salt retention within the diffuse double Layer

Ion contents in the DDL and effective cation exchange capacity

The anion contents in the DDL at water saturation were calculated using Eqn 8. The N[O.sub.2.sup.-] and N[O.sub.3.sup.-] contents in the DDL were jointly reported as N[O.sub.X] because of the low concentration found in the 1:5 and saturated paste extracts overall for N[O.sub.2.sup.-]. The mean [Cl.sup.-] and N[O.sub.X] contents in the DDL were 1.1 [+ or -] 0.2 [mmol.sub.C] [kg.sup.-1], and 0.6 [+ or -] 0.1 [mmol.sub.C] [kg.sup.-1], respectively. The mean S[O.sub.4.sup.2-] contents in the DDL of the soils not at equilibrium with gypsum in the saturated paste extract were 5.2 [+ or -] 0.8 [mmol.sub.C] [kg.sup.-1]. For these soils, the percentage of anions in the DDL regarding the content of anions in the soil solution, i.e. DDL + BSS, was between 13 and 61%, with a mean of 27 [+ or -] 2%.

The sum of anion contents in the DDL [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] of soils not at equilibrium with gypsum in the saturated paste extract gave rise to an extra negative charge between 0.8 and 22.3 [mmol.sub.C] [kg.sup.-1], with a mean of 6.6 [+ or -] 0.9 [mmol.sub.C] [kg.sup.-1], i.e. 6% of the analytically-determined CEC. The extra negative charge provided by the sum on anions in the DDL adds to the CEC to give an [CEC.sub.ef] between 46 and 261 [mmol.sub.C] [kg.sup.-1], with a mean of 126 [+ or -] 8 [mmol.sub.C] [kg.sup.-1]. The [Ca.sup.2+] content in the DDL was recalculated to be 54 [+ or -]4 [mmol.sub.C] [kg.sup.-1] instead of 47 [+ or -] 4 [mmol.sub.C] [kg.sup.-1] considering [CEC.sub.ef] instead of CEC.

[FIGURE 3 OMITTED]

Saturated paste extract composition

The mean SDs of all properties became closer to zero regarding the previous simulation, except for exchangeable [Na.sup.+], [K.sup.+], and [Mg.sup.2+]. Regarding the properties of the soil solution, the mean SDs of [Cl.sup.-] and N[O.sub.X] were zero because in this simulation their extractable soil contents were assessed from their concentrations in the saturated extract itself, not from the 1:5 extract, i.e. Eqn 8 was used instead of Eqn 4. Apart from these ions, the mean SDs of S[O.sub.4.sup.2-], [Ca.sup.2+], [Mg.sup.2+], [Na.sup.+], and [K.sup.+] significantly decreased (in absolute value) from the previous simulation (Table 7). The mean SD could be regarded as non-significantly different from zero for most of the soluble ions: [Na.sup.+], [K.sup.+], [Cl.sup.-], N[O.sub.X], and S[O.sub.4.sup.2-] (Table 7). Despite the closeness of observations and predictions (Fig. 4), the mean SD was still significantly different from zero for [Mg.sup.2+] and [Ca.sup.2+].

In the soils not at equilibrium with gypsum in the saturated paste extract, the SDs of S[O.sub.4.sup.2-] were equal to zero, i.e. they lay on the 1:1 line (Fig. 4), because as occurred with [Cl.sup.-] and N[O.sub.X] its content in the bulk soil solution at saturation was determined from the saturated paste extract itself with Eqn 8. On the other hand, in the soils at equilibrium with gypsum in the saturated paste extract, the SDs were between -14 and 16.5% with a mean of -3 [+ or -] 2%, i.e. significantly different from zero. According to this result, the mean S[O.sub.4.sup.2-] content in the BSS was overestimated, i.e. the S[O.sub.4.sup.2-] content in the DDL of soils at equilibrium with gypsum in the saturated paste extract is higher than in soils not at equilibrium with gypsum, which was 5.2 [mmol.sub.C] [kg.sup.-1].

The mean SD of the [EC.sub.SE] became closer to zero because of the lower mean SDs presented by all the ions in solution. It changed from -7.4 [+ or -] 0.7 to 1.5 [+ or -] 0.5% regarding the previous simulation. Despite this improvement, which is further demonstrated by the closeness between the mean predicted and observed [EC.sub.SE], 4.34 and 4.40 dS [m.sup.-1], respectively, the mean SD of the [EC.sub.SE] was still significantly different from zero.

Finally the mean SDs (in absolute value) of alkalinity and pH decreased. They changed from 3 [+ or -] 2% to -2 [+ or -] 2% and from 0.22 [+ or -] 0.11% to -0.11 [+ or -] 0.12%, respectively, and therefore, they could be regarded as non-significantly different from zero.

Exchange complex composition

Regarding the cations in the DDL, the SDs of [Ca.sup.2+] became closer to zero. Contrary to this, the mean SD (in absolute value) of the exchangeable [Na.sup.+], [K.sup.+], and [Mg.sup.2+] slightly increased. In any case, the mean SD could be regarded as non-significantly different from zero for all the exchangeable cations.

Discussion

First approach: preliminary model of dilution factor

The preliminary model is based on the hypothesis that all ions behave as conservative solutes; however, the overestimation of all ions suggests that solutes are not conserved in the solution when it concentrates. In this model, the error in the prediction of [Ca.sup.2+] is associated with the error in the prediction of S[O.sub.4.sup.2-], and both errors, together with the error in the prediction of [Mg.sup.2+], are strongly associated with the error in the prediction of [EC.sub.SE].

The non-conservative behaviour observed for [Ca.sup.2+], S[O.sub.4.sup.2-], and alkalinity can be explained because of precipitation reactions. As the soil solution concentrates from the 1:5 suspension to the saturated paste, the soil solution achieves saturation or increases its saturation state regarding gypsum and/or calcite. As saturation is attained or increased, the ions [Ca.sup.2+], S[O.sub.4.sup.2-], and alkalinity precipitate from the soil solution as minerals calcite and/or gypsum. Regarding [Mg.sup.2+], for which prediction error is associated with the errors of [Ca.sup.2+] and S[O.sub.4.sup.2-], it may also be removed from the soil solution due to its co-precipitation with [Ca.sup.2+] to produce magnesian mag·ne·sia

*n.*

Magnesium oxide.

[Middle English,

*mineral ingredient of the philosophers' stone*, from Medieval Latin

`magn`calcite, or its precipitation with carbonate or silicate silicate, chemical compound containing silicon, oxygen, and one or more metals, e.g., aluminum, barium, beryllium, calcium, iron, magnesium, manganese, potassium, sodium, or zirconium. Silicates may be considered chemically as salts of the various silicic acids. to produce, respectively, hydromagnesite and nesquehonite or sepiolite (Suarez 2005). The errors in the prediction of [Ca.sup.2+], S[O.sub.4.sup.2-], and alkalinity, become enormous when dealing with gypsiferous soil samples.

Second approach: equilibrium with calcite, gypsum, and C[O.sub.2]

The association between the prediction errors of [Ca.sup.2+], alkalinity, pH, and to a lesser extent S[O.sub.4.sup.2-] in this second approach was further studied, defining a new concept, i.e. the S[O.sub.4.sup.2-] and alkalinity in excess over calcium (SAEC SAEC Space Applications Experimentation Cell

SAEC Support Analysis of Engineering Change

SAEC Single Asymmetric Error-Correcting Code

SAEC Saraburi AIDS Education Centre ) according to Eqn 9:

SAEC = Alk + 2[S[O.sub.4.sup.2-]] - 2[[Ca.sup.2+]] (9)

The mean SAEC of the 1:5 extracts was 3.7 [+ or -] 0.6 [mmol.sub.C] [L.sup.-1], which led to a predicted SAEC of 42 [+ or -] 5 [mmol.sub.C] [L.sup.-1] for the saturated paste extracts when the preliminary model was applied. When the second model was applied, the predicted SAEC presented the same value (42 [+ or -] 5 [mmol.sub.C] [L.sup.-1]). In SALSOLCHEM, for each [Ca.sup.2+] equivalent removed from the soil solution as calcite or gypsum, one equivalent of either alkalinity or S[O.sub.4.sup.2-] is also removed. Accordingly, very low [Ca.sup.2+] concentrations were predicted coinciding with high concentrations of alkalinity and [Ca.sup.2+]. Moreover, high alkalinity concentrations gave rise to high pH values, which led to the high and negative correlation

**Noun**

**1.**

**negative correlation**- a correlation in which large values of one variable are associated with small values of the other; the correlation coefficient is between 0 and -1

indirect correlation between the SDs of pH and [Ca.sup.2+].

[FIGURE 4 OMITTED]

Contrary to this, the observed SAEC in the saturated paste extracts presented a mean of 12 [+ or -] 3 [mmol.sub.C] [L.sup.-1], less than a third of the SAEC predicted with both the preliminary model and second models. As the overall concentration of the soil solution increases from the 1:5 suspension to the saturated paste, the SAEC decreases, and the relative concentration of [Ca.sup.2+] with regard to alkalinity and S[O.sub.4.sup.2-] increases. Therefore, as the soil solution concentrates, some [Ca.sup.2+] is provided by another soil source, which is not calcite or gypsum. This [Ca.sup.2+] supply replaces some of the [Ca.sup.2+] removed from the soil solution as the minerals precipitate, thus decreasing the SAEC value. This [Ca.sup.2+] could be supplied from the soil exchange complex.

Third approach: further equilibrium with the exchange complex

According to the known 'valence dilution effect' (Bohn et al. 2001) as the soil solution concentrates, the ratio of exchangeable divalent divalent /di·va·lent/ (di-va´lent) bivalent; carrying a valence of two.

di·va·lent

*adj.*

Bivalent.

**di·va**to monovalent monovalent /mono·va·lent/ (-va´lent)

**1.**having a valency of one.

**2.**capable of combining with only one antigenic specificity or with only one antibody specificity. cations decreases, and therefore the ratio of divalent to monovalent cations in the soil solution increases. This effect explains the underestimation of the [Ca.sup.2+] concentration, and also the overestimation of [Na.sup.+] and [K.sup.+], which with a mean SD of -56 [+ or -] 2% was the most overestimated ion in the second approach (Table 4). The introduction of the hypothesis of equilibrium with the exchange complex improved the prediction of all the properties of the saturated paste extract. However, with mean SDs of -5.6 [+ or -] 0.7, -9 [+ or -] 6, and 19 [+ or -] 5%, the anions [Cl.sup.-] , N[O.sub.2.sup.-], and N[O.sub.3.sup.-], which were among the best predicted properties of the saturated paste extract with the preliminary model, still presented mean SDs significantly lower than zero (Table 6); that is, they were significantly overestimated. The same [Cl.sup.-], N[O.sub.2.sup.-], and N[O.sub.3.sup.-] predictions were obtained with the first and second approaches, producing together with the excess errors of S[O.sub.4.sup.2-], [Ca.sup.2+], and [Mg.sup.2+], the overestimation that the [EC.sub.SE] still presented in the third approach. The overestimation of N[O.sub.3.sup.-] and N[O.sub.2.sup.-] may be explained by the likely denitrification de·ni·tri·fy

*tr.v.*

**de·ni·tri·fied**,

**de·ni·tri·fy·ing**,

**de·ni·tri·fies**

**1.**To remove nitrogen or nitrogen groups from (a compound).

**2.**in the saturated paste, which does not occur in the 1:5 suspension due to the continuous shaking. However, the overestimation of [Cl.sup.-] could not be explained with the same argument because the [Cl.sup.-] ion cannot be reduced any more. Furthermore, with the third approach, not only N[O.sub.3.sup.-], N[O.sub.2.sup.-] , and [Cl.sup.-] were significantly overestimated, but also S[O.sub.4.sup.2-] , [Ca.sup.2+], and [Mg.sup.2+] were still so. Therefore, the question about where in the saturated paste extract is the excess [Cl.sup.-], and also S[O.sub.4.sup.2-], N[O.sub.3.sup.-], and N[O.sub.2.sup.-] that afterwards appear in the 1:5 extract, was raised.

Fourth approach: salt retention in the diffuse double layer

Centrifugation of soils yields solutions that are more saline than other soil extracts. This effect has been well documented for both variable charge (Geibe et al. 2006), and non-variable charge soils (He et al. 2012). Specifically, the latter authors found that shaking plus centrifuging of soil-water 1:5 suspensions yields extracts of higher salinity than any other laboratory method. In the centrifugal centrifugal /cen·trif·u·gal/ (sen-trif´ah-gal) efferent (1).

cen·trif·u·gal

*adj.*

**1.**Moving or directed away from a center or axis.

**2.**displacement of soil solutions, an increasingly significant part of the DDL is sampled, mixed with the BSS, and jointly extracted as the pressure exerted by centrifugation increases (Wolt 1994). In our work the extraction of the soil solution from the 1:5 soil-water suspension was carried out by centrifugation at ~1400 [g.sub.N], which was estimated to produce a pressure of 800 kPa on the soil. This is 9-10 times higher than the pressure gradient In atmospheric sciences (meteorology, climatology and related fields), the

**pressure gradient**(typically of air, more generally of any fluid) is a physical quantity that describes in which direction and at what rate the pressure changes the most rapidly around a particular location. exerted on the saturated paste during extraction (85~0kPa). This high pressure applied on the soil during the centrifugation process could extract part of the soil solution of the DDL, whereas this did not occur when the saturated paste extract was obtained.

The negative surface charge of colloidal colloidal

of the nature of a colloid.

**colloidal bath**

a bath containing gelatin, bran, starch or similar substances, to relieve skin irritation and pruritus. soil particles produces a differential distribution of anions and cations in its surroundings when the soil is wet (Fig. 5). As counter ions, cations are attracted to the negative particle surfaces, whereas anions are excluded. However, diffusion counteracts this process of ion segregation. Electrostatic Stationary electrical charges in which no current flows. For example, laser printers and copier machines place a positive charge of the image on a drum, and negatively charged toner is attracted onto the drum. The toner is then transferred to positively charged paper and fused to the paper by heat. attraction and diffusion balance each other, and thus cation and anion concentrations form a continuous distribution from the particle surface until the BSS. Cation concentrations decrease as a function of the distance from the particle surface until they eventually reach their concentration in the BSS ([C.sub.0]). Anion concentrations, in turn, increase from zero at the surface of the charged particle to the concentration they have in the bulk soil solution, which is also [C.sub.0] (Fig. 5). The limit between the DDL and the BSS is located at the point where the equivalent concentration of cations equals the equivalent concentration of anions, i.e. [C.sub.0].

[FIGURE 5 OMITTED]

According to their distribution under low pressure conditions (Fig. 5), part of the soil anions are kept within the DDL of the soil colloids together with some extra amount of cations so as to neutralise

**Verb**

**1.**

**neutralise**- get rid of (someone who may be a threat) by killing; "The mafia liquidated the informer"; "the double agent was neutralized"

do in, knock off, liquidate, neutralize, waste them. The situation depicted in Fig. 5 has been simplified in Fig. 6a, where only the areas under the curves of cation and anion concentrations have been represented. Therefore, the three different areas in Fig. 6 are interpreted as amounts of charge in equivalents. The anions in the DDL together with the extra amount of cations constitute true retained salts by the soil colloids under low pressure conditions (Fig. 6a). The difference between the cation and anion equivalents in the DDL is equal to the soil CEC in equivalents. As the pressure on the soil increases, the DDL is compressed and part of the anions, and also water, which were within the DDL are released into the BSS together with an equivalent part of cations. This salt release from the DDL increases the amount of salts of the BSS (Fig. 6b). Finally, if the pressure on the soil continues growing, it could bring the soil colloids so tightly to each other as to make the cations form almost a one-cation-thick layer on the charged particles, i.e. a Helmholtz double layer (Fig. 6c). At that pressure, all the retained salts in the DDL, and also water, would be released to the BSS.

In the non-gypsiferous soils analysed in this work, the sum of extractable contents of soil anions plus the CEC equals the sum of extractable cations as determined by the extractable cation extraction method. Thus, the pressure attained when centrifuging the 1:5 suspensions in this work seems to have sufficed to extract practically all the salts retained in the DDL, i.e. to have reached almost the situation depicted in Fig. 6c. This is interesting because for soils at field moisture, pressures up to 800kPa exerted by centrifugal displacement were estimated to extract only 25% of the soil solution in the DDL (Wolt 1994).

[FIGURE 6 OMITTED]

The salt retention in soils where negative charged particles are present has been traditionally analysed in terms of the 'anion exclusion' effect. The anion exclusion as the difference between the soil solution contents and the extractable contents of anions on a dry-soil basis (Bolt et al. 1978) is given by the opposite of Eqn 7. The anion exclusion tends to zero as the soil is increasingly compressed by quicker centrifugations. As pressure increases on the soil, on the one hand, the anion concentration in the BSS decreases, and on the other hand, the amount of salts in the BSS increases. Both facts are compatible because the compression of the DDL not only extracts anions to the BSS, but also the water within.

The prediction of the properties of the saturated paste extract improved with the quantification of the salt retention in the DDL, or in other words

**Adv.**

**1.**

**in other words**- otherwise stated; "in other words, we are broke"

put differently , the quantification of the anion exclusion. On the other hand, the prediction of the properties of the exchange complex also remarkably improved for [Ca.sup.2+] or slightly worsened for the rest of cations. In this latter approach, [Mg.sup.2+] and [Ca.sup.2+] in the saturated paste extract could be regarded as slightly underestimated. The slight underestimation of [Mg.sup.2+] suggests that the precipitation of magnesian calcite, hydromagnesite, nesquehonite, or sepiolite is almost negligible in the soils under study. This is also supported by the fact that the extractable [Mg.sup.2+] content does not significantly increase with the number of ammonium acetate 1 M extractions (Visconti 2009). However, the slight underestimation of these cations drove the slight underestimation of the [EC.sub.SE].

Conclusions

The composition of the saturated paste extract of calcareous and gypsiferous soils can be reliably predicted from the anion contents of the 1:5 extract, the ammonium acetate extractable cation contents, the CEC, and an estimation of the anion contents within the diffuse double layer of the soil colloids, i.e. the anion exclusion. This conclusion was attained introducing the following four hypotheses in a process-based predictive model: (i) the principle of matter conservation in the soil solution as it concentrates from the 1:5 to the saturated paste extract; (ii) free equilibration equilibration /equi·li·bra·tion/ (e-kwil?i-bra´shun) the achievement of a balance between opposing elements or forces.

**occlusal equilibration**of the soil solution with minerals calcite and gypsum under the C[O.sub.2] partial pressure of the saturated paste; (iii) further equilibration of the soil solution with the soil exchange complex; and (iv) salt retention in the DDL of the soil colloids. Starting from the simplest hypothesis each time the model could not be validated on the basis of the t-test for the SD, the next hypothesis was included. The hypothesis of salt retention in the DDL was necessary because centrifugation has a profound effect in the anion exclusion, and the 1:5 extracts, as well as on the soil cation extracts, were separated from their suspensions through centrifugation.

List of abbreviations: AAS, atomic adsorption spectroscopy

**spectroscopy**

Branch of analysis devoted to identifying elements and compounds and elucidating atomic and molecular structure by measuring the radiant energy absorbed or emitted by a substance at characteristic wavelengths of the electromagnetic spectrum (including gamma ray, ; BSS, bulk soil solution; CEC, cation exchange capacity; [CEC.sub.ef], effective cation exchange capacity; DDL, diffuse double layer; [EC.sub.SE], electrical conductivity at 25[degrees]C ([EC.sub.25]) and at 25[degrees]C in the saturation extract; K, equilibrium constant

**Noun**

**1.**

**equilibrium constant**- (chemistry) the ratio of concentrations when equilibrium is reached in a reversible reaction (when the rate of the forward reaction equals the rate of the reverse reaction) ; IAP (

**I**nternet

**A**ccess

**P**rovider) See ISP.

**IAP**- Internet Access Provider , ionic activity product; SAR, sodium adsorption ratio; SAEC, sulfate and alkalinity in excess over calcium; SD, standardised difference; subscripts: EXC, exchangeable ion content; T, extractable ion content; SP, saturated paste; SE, saturated paste extract.

10.1071/SR12197

Appendix 1

The extractable [Ca.sup.2+] content ([m.sub.TCa]) was calculated by adding the exchangeable content of [Ca.sup.2+] as calculated from the 1:5 extract ([m.sub.EXCCa]([[theta].sub.1:5])) to the [Ca.sup.2+] content in the 1:5 extract ([m.sub.SSCa]([[theta].sub.1:5])). This is expressed by Eqn A1:

[m.sub.TCa] = ([m.sub.EXCCa]([[theta].sub.1:5])) + ([m.sub.SSCa]([[theta].sub.1:5])) (A1)

The content of [Ca.sup.2+] in the 1:5 extract was determined as such. In contrast to this, the exchangeable content of [Ca.sup.2+] could not be determined directly. The [Na.sup.+], [K.sup.+], and [Mg.sup.2+] contents in the 1 M ammonium acetate extract come from the soil solution and from the exchange complex. The [Ca.sup.2+] present in the 1 M ammonium acetate extract comes, in addition to these, also from the calcium carbonate minerals, mainly calcite. As a consequence, the exchangeable [Ca.sup.2+] has to be calculated subtracting the sum of the other three major cations ([Na.sup.+], [K.sup.+], and [Mg.sup.2+]) from the cation exchange capacity (CEC) with Eqn A2, where ([m.sub.EXCi]([[theta].sub.1:5])) stands for the exchangeable content of the cation i:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (A2)

As previously indicated the exchangeable contents ([m.sub.EXCi]([[theta].sub.1:5])) of [Na.sup.+], [K.sup.+], and [Mg.sup.2+] ([z.sub.i] > 0, [logical not]Ca) can be calculated by subtraction of their total extractable contents ([m.sub.Ti]) from their soil solution contents ([m.sub.SSi]([[theta].sub.1:5])) with Eqn A3:

[m.sub.EXCi]([[theta].sub.1:5]) = [m.sub.Ti] - [m.sub.SSi]([[theta].sub.1:5]) (A3)

Replacing [m.sub.EXCi]([[theta].sub.1:5]) in Eqn A2 by its calculation in Eqn A3, and replacing [m.sub.EXCCa]([[theta].sub.1:5]) in Eqn A1 by its value in the modified Eqn A2 gives Eqn A4, which is Eqn 5 in the text.

Acknowledgments

We thank the Conselleria d' Educacio from the Generalitat Valenciana The

**Generalitat Valenciana**(in Valencian) o

**Generalidad Valenciana**(in Spanish) is the generic name covering the different self government institutions under which the Spanish autonomous community of Valencia is politically organised. for funding the work of F. Visconti through a postdoctoral post·doc·tor·al also

**post·doc·tor·ate**

*adj.*

Of, relating to, or engaged in academic study beyond the level of a doctoral degree.

**Noun**

**1.**scholarship in the framework of program VAL

**1.**

**VAL**- Value-oriented Algorithmic Language. J.B. Dennis, MIT 1979. Single assignment language, designed for MIT dataflow machine. Based on CLU, has iteration and error handling, lacking in recursion and I/O. "A Value- Oriented Algorithmic Language", W.B. i+d 2010. This research has been carried out in the framework of projects CGL See Carrier Grade Linux. 2009-14592-C02-01 and CGL2009-14592-C02-02 funding by the 'Ministerio de Ciencia e Innovacion'. We thank the two anonymous reviewers and the associate editor for their help to improve the article.

References

Bohn HL, Myer RA, O'Connor GA (2001) 'Soil chemistry.' 3rd edn (Wiley: New York

**New York, state, United States**

New York, Middle Atlantic state of the United States. It is bordered by Vermont, Massachusetts, Connecticut, and the Atlantic Ocean (E), New Jersey and Pennsylvania (S), Lakes Erie and Ontario and the Canadian province of )

Bolt GH, Bruggenwert MGM

**MGM**

in full

**Metro-Goldwyn-Mayer, Inc.**

U.S. corporation and film studio. It was formed when the film distributor Marcus Loew, who bought Metro Pictures in 1920, merged it with the Goldwyn production company in 1924 and with Louis B. Mayer Pictures in 1925. , Kamphorst A (1978) Adsorption of cations by soil. In 'Soil chemistry. A. Basic elements'. (Eds GH Bolt, MGM Bruggenwert) pp. 54-90. (Elsevier Scientific Publishing Co.: New York)

Chapman HD (1965) Cation-exchange capacity. In 'Methods of soil analysis, Vol. 2'. (Ed. CA Black) pp. 891-901. (American Society of Agronomy agronomy (əgrŏn`əmē), branch of agriculture dealing with various physical and biological factors—including soil management, tillage, crop rotation, breeding, weed control, and climate—related to crop production. : Madison, WI)

Chi CM, Wang ZC (2010) Characterizing salt-affected soils of Songnen Plain using saturated paste and 1:5 soil-to-water extraction methods. Arid Land Research and Management 24, 1-11. doi:10.1080/ 15324980903439362

FAO (1998) 'World reference base for soil resources.' (Food and Agriculture Organization of the United Nations

**Noun**

**1.**

**Food and Agriculture Organization of the United Nations**- the United Nations agency concerned with the international organization of food and agriculture

FAO, Food and Agriculture Organization : Rome)

Geibe CE, Danielsson R, van Hees PAW, Lundstrom US (2006) Comparison of soil solution chemistry sampled by centrifugation, two types of suction suction /suc·tion/ (suk´shun) aspiration of gas or fluid by mechanical means.

**post-tussive suction**a sucking sound heard over a lung cavity just after a cough. lysimeters and zero-tension lysimeters. Applied Geochemistry geochemistry, study of the chemical changes on the earth. More specifically, it is the study of the absolute and relative abundances of chemical elements in the minerals, soils, ores, rocks, water, and atmosphere of the earth and the distribution and movement of 21, 2096-2111. doi: 10.1016/j.apgeochem.2006.07.010

Gran G (1952) Determination of the equivalence point in potentiometric titrations. Analyst (London) 77, 661-671. doi: 10.1039/an9527700661

He Y, DeSutter T, Prunty L, Hopkins D, Jia X, Wysocki DA (2012) Evaluation of 1:5 soil to water extract electrical conductivity methods. Geoderma 185-186, 12-17. doi:10.1016/j.geoderma.2012. 03.022

Khorsandi F, Yazdi FA (2011) Estimation of saturated paste extracts' electrical conductivity from 1:5 soil/water suspension and gypsum. Communications in Soil Science and Plant Analysis 42, 315-321. doi: 10.1080/00103624.2011.538885

Kirchner JW, Hooper RP, Kendall C, Neal C, Leavesley G (1996) Testing and validating environmental models. The Science of the Total Environment 183, 33-47. doi: 10.1016/0048-9697(95)04971-1

Knightes CD, Cyterski M (2005) Evaluating predictive errors of a complex environmental model using a general linear model and least square means. Ecological Modelling 186, 366-374. doi: 10.1016/j.ecolmodel. 2005.01.034

Lindsay WL (1979) 'Chemical equilibria in soils.' (Wiley Interscience: New York)

Loague K, Green RE (1991) Statistical and graphical methods This is a list of

**graphical methods**with a mathematical basis. Included are diagram techniques, chart techniques, plot techniques, and other forms of visualization.

There is also a list of computer graphics and descriptive geometry topics. for evaluating solute solute /so·lute/ (sol´ut) the substance dissolved in solvent to form a solution.

sol·ute

*n.*transport models: Overview and application. Journal of Contaminant contaminant /con·tam·i·nant/ (kon-tam´in-int) something that causes contamination.

contaminant

something that causes contamination. Hydrology hydrology, study of water and its properties, including its distribution and movement in and through the land areas of the earth. The hydrologic cycle consists of the passage of water from the oceans into the atmosphere by evaporation and transpiration (or 7, 51-73. doi: 10.1016/0169-7722(91)90038-3

Rayment GE, Lyons DJ (2011) 'Soil chemical methods--Australasia.' (CSIRO Publishing

**CSIRO PUBLISHING**is an Australian-based science and technology publisher. They cover a range of scientific disciplines including agriculture, chemistry, plant and animal sciences, natural history and environmental management. : Melbourne)

Rengasamy P, Greene RSB, Ford GW, Mehanni AH (1984) Identification of dispersive dispersive /dis·per·sive/ (-per´siv)

**1.**tending to become dispersed.

**2.**promoting dispersion. behaviour and the management of red-brown earths. Australian Journal of Soil Research 22, 413-431. doi:10.1071/ SR9840413

Rhoades JD (1996) Salinity: electrical conductivity and total dissolved solids

**Total dissolved solids**(often abbreviated

**TDS**) is an expression for the combined content of all inorganic and organic substances contained in a liquid which are present in a molecular, ionized or micro-granular (colloidal sol) suspended form. . In 'Methods of soil analysis, Part 3: Chemical methods'. (Eds DL Sparks, AL Page, PA Helmke, RH Loeppert, PN Soltanpour, MA Tahatabai, CT Johnston, ME Sumner) pp. 417-435. (SSSA, ASA Asa (ā`sə), in the Bible, king of Judah, son and successor of Abijah. He was a good king, zealous in his extirpation of idols. When Baasha of Israel took Ramah (a few miles N of Jerusalem), Asa bought the help of Benhadad of Damascus and : Madison, WI)

Rhoades JD, Chanduvi F, Lesch S (1999) 'Soil salinity assessment: Methods and interpretation of electrical conductivity measurements.' FAO Irrigation irrigation, in agriculture, artificial watering of the land. Although used chiefly in regions with annual rainfall of less than 20 in. (51 cm), it is also used in wetter areas to grow certain crops, e.g., rice. and Drainage Paper 57. (Food and Agriculture Organization of the United Nations: Rome)

Rieu M, Vaz R, Cabrera F, Moreno F (1998) Modelling the concentration or dilution of saline soil-water systems. European Journal of Soil Science 49, 53-63. doi:10.1046/j.1365-2389.1998.00137.x

Slavich PG, Petterson GH (1993) Estimating the electrical-conductivity of saturated paste extracts from 1-5 soil, water suspensions and texture. Australian Journal of Soil Research 31, 73-81. doi: 10.1071/SR9930073

Soil Survey Staff (1999) 'Soil Taxonomy taxonomy: see classification.

**taxonomy**

In biology, the classification of organisms into a hierarchy of groupings, from the general to the particular, that reflect evolutionary and usually morphological relationships: kingdom, phylum, class, order, : a basic system of soil classification for making and interpreting soil surveys.' USDA USDA,

*n.pr*See United States Department of Agriculture. Handbook No. 436. (United States Department of Agriculture United States Department of Agriculture (USDA),

*n.pr*established in 1862, USDA is responsible for the safety of meat, poultry, and egg products. It conducts ongoing research in areas from human nutrition to new crop technologies and also helps ensure open , Agriculture: Washington, DC)

Sonmez S, Buyuktas D, Okturen F, Citak S (2008) Assessment of different soil to water ratios (1:1, 1:2.5, 1:5) in soil salinity studies. Geoderma 144, 361-369. doi:10.1016/j.geoderma.2007.12.005

Suarez DL (2005) Chemistry of salt-affected soils. In 'Chemical processes in soils'. (Eds MA Tabatabai, DL Sparks) pp. 689-705. (Soil Science Society of America The

**Soil Science Society of America**(SSSA), is a scientific and professional society of soil scientists, principally in the U.S. but with a large number of non-U.S. members as well. : Madison, WI)

Sumner ME, Rengasamy P, Naidu R (1998) Sodic so·dic

*adj.*

Relating to or containing sodium.

[

**sod(ium)**+

**-ic**.]

sodic

Relating to or containing sodium. soils: a reappraisal. In 'Sodic soils: distribution, properties, management and environmental consequences'. (Eds ME Sumner, R Naidu) pp. 3-17. (Oxford University Press: New York)

Visconti F (2009) Elaboracion de un modelo predictivo de la acumulacion de sales en suelos agricolas de regadio bajo clima meditemineo: aplicacion a la Vega La Vega (lä vā`gä), city (1993 pop. 73,387), central Dominican Republic, on the Camú River. La Vega is the commercial and processing center of a rich agricultural region. Baja del Segura y Bajo Vinalopo (Alicante). PhD Thesis, Universitat de Valencia EG, Valencia, Spain For the Valencia wine region, see .

**Valencia**(Spanish:

*Valencia*[ba'lenθja];

^{[1]}Valencian:

*València*[va'ɫɛnsia]) is the capital of the Spanish autonomous community of Valencia and its province. . http://digital.csic.es/handle/10261/25984 [in Spanish with summary in English]

Visconti F (2011) SALSOLCHEMEC: an application to calculate the salt speciation in the soil solution and the exchange complex at equilibrium. Available at: www.uv.es/fervisre/salsolchemec

Visconti F, de Paz JM, Rubio JL (2010a) What information does the electrical conductivity of soil water extracts of 1 to 5 ratio (w/v) provide for soil salinity assessment of agricultural irrigated lands? Geoderma 154, 387-397. doi:10.1016/j.geoderma.2009.11.012

Visconti F, de Paz JM, Rubio JL (2010b) An empirical equation to calculate soil solution electrical conductivity at 25[degrees]C from major ion concentrations. European Journal of Soil Science 61, 980-993. doi: 10.1111/j.1365-2389.2010.01284.x

Visconti F, de Paz JM, Rubio JL (2010c) Calcite and gypsum solubility products in water-saturated salt-affected soil samples at 25[degrees]C and at least up to 14 dS [m.sup.-1]. European Journal of Soil Science 61, 255-270. doi: 10.1111/j.1365-2389.2009.01214.x

Visconti F, de Paz JM, Rubio JL, Sanchez J (2011) SALTIRSOIL: a simulation model for the mid to long-term prediction of soil salinity in irrigated agriculture. Soil Use and Management 27, 523-537. doi: 10.1111/j.1475-2743.2011.00356.x

Visconti F, de Paz JM, Rubio JL (2012) Choice of selectivity coefficients for cation exchange using principal components analysis and bootstrap See boot.

(operating system, compiler)

**bootstrap**- To load and initialise the operating system on a computer. Normally abbreviated to "boot". From the curious expression "to pull oneself up by one's bootstraps", one of the legendary feats of Baron von Munchhausen. ANOVA anova

see analysis of variance.

ANOVA Analysis of variance, see there of coefficients of variation. European Journal of Soil Science 63, 501-513. doi:10.1111/j.1365-2389.2012.01474.x

White RE (1987) 'Introduction to the principles and practice of soil science.' 2nd edn (Blackwell Scientific: Oxford, UK)

Wolt JD (1994) 'Soil solution chemistry: application to environmental science and agriculture.' (John Wiley

**John Wiley**may refer to:

- John Wiley & Sons, publishing company
- John C. Wiley, American ambassador
- John D. Wiley, Chancellor of the University of Wisconsin-Madison
- John M. Wiley (1846–1912), U.S.

Received 18 July 2012, accepted 2 October 2012, published online 13 November 2012

Fernando Visconti (A,B,C) and Jose Miguel de Paz

**Miguel de Paz Plá**(born January 31, 1961) is a former field hockey player from Spain, who won the silver medal with the Men's National Team at the 1980 Summer Olympics in Moscow. He competed in three consecutive Summer Olympics for Spain, starting in 1980. (A)

(A) Instituto Valenciano de Investigaciones Agrarias-IVIA (GV), Centro para el Desarrollo de la Agricultura Sostenible-CDAS, Crta. Moncada-Naquera Km 4.5, 46113 Moncada, Valencia

**Moncada**is a municipality in the

*comarca*of Horta Nord in the Valencian Community, Spain.

[ edit ] Municipalities of Horta Nord

(B) Centro de Investigaciones sobre Desertificacion-CIDE (CSIC, UVEG, GV), Crta. Moncada-Naquera Km 4.5, 46113 Moncada, Valencia, Spain.

(C) Corresponding author. Email: fernando.visconti@uv.es

Table 1. Cation exchange equations and Kerr selectivity coefficients in activities [K.sub.Ca-Na] and [K.sub.Ca-K] in [(L [kg.sup.-1]).sup.1-2] and [K.sub.Ca-Mg] dimensionless Exchange Exchange equation Selectivity coefficient Ca [right [MATHEMATICAL EXPRESSION [MATHEMATICAL EXPRESSION arrow] Na NOT REPRODUCIBLE IN NOT REPRODUCIBLE IN ASCII] ASCII] Ca [right [MATHEMATICAL EXPRESSION [MATHEMATICAL EXPRESSION arrow] Mg NOT REPRODUCIBLE IN NOT REPRODUCIBLE IN ASCII] ASCII] Ca [right [MATHEMATICAL EXPRESSION [MATHEMATICAL EXPRESSION arrow] K NOT REPRODUCIBLE IN NOT REPRODUCIBLE IN ASCII] ASCII] Table 2. Comparison of observations and predictions for the saturated paste extract using the preliminary model of dilution factor SE, Saturated paste extract; SP, saturated paste [Na.sub.SE] [NH.sub4.SE] [K.sub.SE] No. of comparisons 133 6 133 Mean Observed 25.0 0.4 1.2 Calculated 40.7 0.7 4.1 Classical validation parameters Maximum error 55.2 0.8 15.4 Root mean square error 73.0 104.7 325.0 Standardised difference (%) Mean -26.7 -43.9 -55.6 Standard deviation 0.056 0.078 0.089 Standard errorto.os 1.0 8.2 1.5 [t.sub.calc] 54.6 13.8 72.1 P-value <0.003 <0.003 <0.003 [Mg.sub.SE] [Ca.sub.SE] [Cl.sub.SE] No. of comparisons 133 133 133 Mean Observed 6.2 8.4 22.2 Calculated 11.5 31.7 24.7 Classical validation parameters Maximum error 25.0 248.2 15.4 Root mean square error 120.1 623.9 17.5 Standardised difference (%) Mean -29.4 -39.1 -5.6 Standard deviation 0.144 0.199 0.04 Standard errorto.os 2.5 3.4 0.7 [t.sub.calc] 23.5 22.6 16.4 P-value <0.003 <0.003 <0.003 [NO.sub.2SE] [NO.sub.3SE] [SO.sub.4SE] No. of comparisons 55 129 133 Mean Observed 0.6 3.9 13.5 Calculated 0.7 5.1 42.8 Classical validation parameters Maximum error 1.4 8.5 281.2 Root mean square error 55.0 51.8 479.9 Standardised difference (%) Mean -8.6 -19.0 -31.0 Standard deviation 0.222 0.27 0.195 Standard errorto.os 6 4.7 3.4 [t.sub.calc] 2.9 8.0 18.3 P-value 0.005 <0.003 <0.003 [Alk.sub.SE] [EC.sub.SE] [pH.sub.SP] No. of comparisons 133 133 133 Mean Observed 1.6 4.4 7.9 Calculated 19.8 8.0 8.8 Classical validation parameters Maximum error 55.9 16.5 1.7 Root mean square error 1275 114.8 12.5 Standardised difference (%) Mean -83.8 -27.6 -5.8 Standard deviation 0.056 0.123 0.01 Standard errorto.os 1.0 2.1 0.2 [t.sub.calc] 171.9 25.9 66.2 P-value <0.003 <0.003 <0.003 Table 3. Matrix of product-moment correlation coefficients among the standardised differences (SD) of observations and predictions caused by the preliminary model of dilution factor Correlation coefficients >0.75 are in bold face [SD.sub.Na] [SD.sub.NH4] [SD.sub.K] [MATHEMATICAL EXPRESSION 0.685 NOT REPRODUCIBLE IN ASCII] [SD.sub.K] 0.585 0.24 [SD.sub.Mg] 0.465 0.122 0.621 [SD.sub.Ca] 0.166 -0.125 0.444 [SD.sub.Cl] -0.024 -0.439 0.224 [MATHEMATICAL EXPRESSION -0.012 -0.631 -0.088 NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION 0.090 0.629 -0.098 NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION -0.247 -0.329 0.143 NOT REPRODUCIBLE IN ASCII] [SD.sub.Alk] 0.177 0.108 0.333 [SD.sub.EC] 0.296 -0.037 0.511 [SD.sub.pH] 0.183 0.115 0.392 [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] 0.919 [SD.sub.Cl] 0.410 0.466 [MATHEMATICAL EXPRESSION -0.007 0.006 0.068 NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION -0.090 -0.057 -0.042 NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION 0.595 0.804 0.558 NOT REPRODUCIBLE IN ASCII] [SD.sub.Alk] 0.015 -0.046 -0.179 [SD.sub.EC] 0.911 0.938 0.554 [SD.sub.pH] 0.036 -0.028 0.120 [SD.sub.N02] [SD.sub.N03] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION -0.203 NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION 0.104 -0.048 NOT REPRODUCIBLE IN ASCII] [SD.sub.Alk] 0.098 -0.398 [SD.sub.EC] 0.053 0.022 [SD.sub.pH] 0.037 -0.328 [SD.sub.S04] [SD.sub.Alk] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.Alk] -0.187 [SD.sub.EC] 0.77 -0.121 [SD.sub.pH] -0.045 0.589 [SD.sub.EC] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.Alk] [SD.sub.EC] [SD.sub.pH] 0.020 Table 4. Comparison of observations and predictions for the saturated paste extract freely allowed to equilibrate with calcite and gypsum at the C[0.sub.2] partial pressure of the saturated paste SE, Saturated paste extract; SP, saturated paste [Na.sub.SE] [NH.sub4.SE] [K.sub.SE] No. of comparisons 133 6 133 Mean Observed 25.0 0.4 1.2 Calculated 40.7 0.7 4.1 Classical validation parameters Maximum error 55.2 0.8 15.4 Root mean square error 73.0 104.7 325.0 Standardised difference (%) Mean -26.7 -43.9 -55.6 Standard deviation 0.056 0.078 0.089 Standard errorto.os 1.0 8.2 1.5 [t.sub.calc] 54.6 13.8 72.1 P-value <0.003 <0.003 <0.003 [Mg.sub.SE] [Ca.sub.SE] [Cl.sub.SE] No. of comparisons 133 133 133 Mean Observed 6.2 8.4 22.2 Calculated 11.5 5.8 24.7 Classical validation parameters Maximum error 25.0 7.6 15.4 Root mean square error 120.1 39.5 17.5 Standardised difference (%) Mean -29.4 39.2 -5.6 Standard deviation 0.144 0.363 0.040 Standard errorto.os 2.5 6.2 0.7 [t.sub.calc] 23.5 12.4 16.4 P-value <0.003 <0.003 <0.003 [NO.sub.2SE] [NO.sub.3SE] [SO.sub.4SE] No. of comparisons 55 129 133 Mean Observed 0.6 3.9 13.5 Calculated 0.7 5.1 24.3 Classical validation parameters Maximum error 1.4 8.5 48.2 Root mean square error 55.0 51.8 114.6 Standardised difference (%) Mean -8.6 -19.0 -25.2 Standard deviation 0.222 0.270 0.095 Standard errorto.os 6.0 4.7 1.6 [t.sub.calc] 2.9 8.0 30.5 P-value 0.005 <0.003 <0.003 [Alk.sub.SE] [EC.sub.SE] [pH.sub.SP] No. of comparisons 133 133 133 Mean Observed 1.6 4.4 7.9 Calculated 5.0 6.1 8.2 Classical validation parameters Maximum error 27.0 6.2 1.4 Root mean square error 382.2 47.3 5.3 Standardised difference (%) Mean -34.9 -16.5 -2.0 Standard deviation 0.242 0.060 0.016 Standard errorto.os 4.2 1.0 0.3 [t.sub.calc] 16.6 31.7 13.8 P-value <0.003 <0.003 <0.003 Table 5. Matrix of product-moment correlation coefficients among the standardised differences of observations and predictions caused by the second model approach Correlation coefficients >0.75 are in bold face [SD.sub.Na] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.685 [SD.sub.K] 0.585 [SD.sub.Mg] 0.465 [SD.sub.Ca] -0.561 [SD.sub.Cl] -0.024 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.012 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.090 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.129 [SD.sub.Alk] 0.527 [SD.sub.EC] 0.389 [SD.sub.pH] 0.541 [SD.sub.NH4] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] 0.240 [SD.sub.Mg] 0.122 [SD.sub.Ca] -0.480 [SD.sub.Cl] -0.439 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.631 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.629 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.307 [SD.sub.Alk] 0.335 [SD.sub.EC] -0.169 [SD.sub.pH] 0.495 [SD.sub.K] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] 0.621 [SD.sub.Ca] -0.274 [SD.sub.Cl] 0.224 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.088 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.098 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.286 [SD.sub.Alk] 0.327 [SD.sub.EC] 0.490 [SD.sub.pH] 0.416 [SD.sub.Mg] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] -0.095 [SD.sub.Cl] 0.410 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.007 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.090 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.567 [SD.sub.Alk] 0.284 [SD.sub.EC] 0.858 [SD.sub.pH] 0.291 [SD.sub.Ca] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] 0.198 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.004 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.129 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.524 [SD.sub.Alk] -0.886 [SD.sub.EC] 0.058 [SD.sub.pH] -0.858 [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.068 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.042 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.518 [SD.sub.Alk] -0.130 [SD.sub.EC] 0.507 [SD.sub.pH] 0.009 [SD.sub.N02] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.203 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] 0.106 [SD.sub.Alk] 0.019 [SD.sub.EC] 0.115 [SD.sub.pH] 0.009 [SD.sub.N03] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] -0.126 [SD.sub.Alk] 0.052 [SD.sub.EC] 0.099 [SD.sub.pH] 0.002 [SD.sub.SO4] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.Alk] -0.351 [SD.sub.EC] 0.607 [SD.sub.pH] -0.248 [SD.sub.Alk] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.Alk] [SD.sub.EC] 0.185 [SD.sub.pH] 0.850 [SD.sub.EC] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.K] [SD.sub.Mg] [SD.sub.Ca] [SD.sub.Cl] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] [SD.sub.Alk] [SD.sub.EC] [SD.sub.pH] 0.181 Table 6. Comparison of observations and predictions for the saturated paste extract and the exchange complex freely allowed to equilibrate with calcite, gypsum, and the exchange complex at the C[O.sub.2] partial pressure of the saturated pastes SE, Saturated paste extract; SP, saturated paste; EXC, exchangeable ion content [Na.sub.SE] [K.sub.SE] [Mg.sub.SE] No. of comparisons 132 132 132 Observed 25.1 1.1 6.3 Predicted 25.6 1.1 7.9 Maximum error 17.3 2.2 10.2 Root mean square error 13.1 35.8 46.5 Mean -2.7 -4.1 -10.5 Standard deviation 0.1 0.2 0.2 Standard error x 1.1 2.8 2.7 [t.sub.0.05] [t.sub.calc] 5.0 2.9 7.8 P-value <0.003 0.004 <0.003 [Ca.sub.SE] [S0.sub.4SE] [Alk.sub.SE] No. of comparisons 132 132 132 Mean Observed 8.4 13.6 1.6 Predicted 11.3 17.4 1.5 Classical validation parameters Maximum error 10.1 13.3 1.9 Root mean square error 46.0 38.0 27.9 Standardised difference (%) Mean -14.1 -16.1 2.9 Standard deviation 0.1 0.1 0.1 Standard error.t0.05 2.0 2.0 2.2 tcalc 13.8 16.1 -2.7 P-value <0.003 <0.003 0.008 [Na.sub.EXC] [K.sub.EXC] [Mg.sub.EXC] No. of comparisons 132 132 132 Observed 7.5 7.1 58.1 Predicted 7.1 7.1 56.8 Maximum error 5.6 0.9 9.1 Root mean square error 19.4 2.5 4.2 Mean 1.7 0.1 0.7 Standard deviation 0.1 0.0 0.0 Standard error x 1.7 0.2 0.8 [t.sub.0.05] [t.sub.calc] 1.9 0.9 1.8 P-value 0.057 0.366 0.081 [Ca.sub.EXC] [EC.sub.SE] [pH.sub.SP] No. of comparisons 132 132 132 Observed 46.3 4.4 7.87 Predicted 48.0 5.0 7.84 Maximum error 11.8 1.8 0.27 Root mean square error 6.7 17.0 1.38 Mean -3.1 -7.3 0.22 Standard deviation 0.1 0.0 0.01 Standard error x 1.0 0.7 0.11 [t.sub.0.05] [t.sub.calc] 6.2 21.5 -3.91 P-value <0.003 <0.003 <0.003 Table 7. An estimated carbon budget for the limestone application required to counter 0.5 pH unit acidification associated with 0.3% soil C sequestration C gain C cost Factor (kg C [ha.sup-1] 10 [cm.sup-1] Soil organic matter 3900 accumulation of 0.3% Reaction of 1 t limestone 120 [ha.sup-1] Mineralisation of the 1 %C 130-650 native to the soil, at 1-5% of 13 t [ha.sup-1] Mining, milling, transport, 435-500 spreading of limestone (100-300 km cartage) Total 3900 685-1270 100% 18-33% Assumed bulk density of 1.3 3 g [cm.sup.-3]

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Author: | Visconti, Fernando; de Paz, Jose Miguel |
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Publication: | Soil Research |

Article Type: | Report |

Date: | Oct 1, 2012 |

Words: | 11903 |

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