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For exceptions, permission may be sought for such use through Elsevier’s permissions site at: http://www.elsevier.com/locate/permissionusematerial Author's Personal Copy Geoderma 141 (2007) 370 – 383 www.elsevier.com/locate/geoderma Assessing the geochemical inherent quality of natural soils in the Douro river basin for grapevine cultivation using data analysis and geostatistics A.P. Reis b,c,⁎, L. Menezes de Almeida b , E. Ferreira da Silva b , A.J. Sousa a , C. Patinha b , E.C. Fonseca b b a CERENA, IST, Technical University of Lisbon, Lisbon, Portugal ELMAS - Investigation Unit, Geosciences Department, University of Aveiro, Aveiro, Portugal c PD grant, SFRH/BPD/27141/2006, FCT, Lisbon, Portugal Received 9 March 2006; received in revised form 28 June 2007; accepted 3 July 2007 Available online 15 August 2007 Abstract The main purpose of this study is to measure the spatial variability of a specific soil characteristic, its content of nutrients and toxic metals, and use the established patterns of variability as an indicator of the inherent quality of the natural soils of the Douro river basin for grapevine cultivation. A total of 108 topsoil samples were collect within the basin catchment. All soil samples were analysed for 26 chemical elements by ICP-ES OPTIMA at ACME Anal. Lab. (ISO 9002 Accredited Co.). For this study, we selected only the chemical elements that are relevant for the vineyards, that is, elements that are nutrients or those which are potentially toxic. In our study we used the following methodology: (i) categorisation of quantitative variables and use of multiple correspondence analysis (MCA) to determine similarities among them; (ii) structural analysis through variography to identify spatial patterns of variability; (iii) mapping of MCA factors through ordinary kriging to define, within the basin, areas in which soils can be characterised according to their contents of nutrients or toxic elements. This methodology allows the determination of spatial patterns of variability for groups of similar variables instead of an exhaustive “one-by-one” variable study, since data analysis reduces the amount of information that must be interpreted in order to assess the natural aptness of the soils for grapes plantation. © 2007 Elsevier B.V. All rights reserved. Keywords: Douro River Basin; Soil; Geochemistry; Inherent quality; Vineyards; Data analysis; Geostatistics 1. Introduction Located in Northeast Portugal, within the Douro River basin, surrounded by mountains that give it very particular soil and climacteric characteristics, the Port and Douro Wine Region is a wide area of vineyards which as a strong social impact on the region. Providing a key product for the national economy, this area also offers a beautiful landscape and has a two-millennium history (IVDP, 2006). Due to the interest of this region, and in the scope of a national wide soil geochemical survey, a decision was made to use the soils of the Douro River basin to assess their quality for grapevine cultivation. In this study, such quality should be ⁎ Corresponding author. PD grant, SFRH/BPD/27141/2006, FCT, Lisbon, Portugal. E-mail address: pmarinho@geo.ua.pt (A.P. Reis). 0016-7061/$ - see front matter © 2007 Elsevier B.V. All rights reserved. doi:10.1016/j.geoderma.2007.07.003 regarded only in terms of a inherent quality, the soil's natural ability to function for the purpose it is meant for. Therefore, the main purpose of this study is to measure the spatial variability of a specific soil characteristic, its content of nutrients and toxic metals, and use the established patterns of variability as an indicator of the inherent quality of the natural soils of the Douro river basin for grapevine cultivation. To achieve these objectives, a methodological sequence of multivariate data analysis is here proposed. The aim is to identify the main factors controlling the spatial variability, using geostatistical techniques to interpolate such factors (Goovaerts, 1999). Principal Component Analysis, a multivariate data analysis technique, has been extensively used in soil sciences (Jolliffe, 2002) for dealing with numerical data. This method is particularly useful to identify linear relationships among variables. However, assessing the soil quality for grapevine cultivation implies the use Author's Personal Copy A.P. Reis et al. / Geoderma 141 (2007) 370–383 371 Fig. 1. Elevation map of the study area (adapted from DRAOT-Norte, 2001). Author's Personal Copy 372 A.P. Reis et al. / Geoderma 141 (2007) 370–383 Fig. 2. Geological map of the Douro River basin (adapted from DRAOT-Norte, 2001). Author's Personal Copy A.P. Reis et al. / Geoderma 141 (2007) 370–383 373 Fig. 3. Soil sampling locations at the Douro River Basin. of thresholds related to the physiological responses of the grapevines. Therefore, in the present study we used Multiple Correspondence Analysis after a previous categorisation of the numerical variables using suitable thresholds. Similar methodologies have been used in several fields of science, from geochemical exploration of mineral deposits (Jiménez-Espinosa et al., 1992; Reis et al., 2004) to environmental studies (Reis et al., 2005) or soil science (Wu et al., 2006). The regional geological units of the basin are mainly heavily deformed metassedimentary rocks (schists and quartzites) intruded by granitoids (DRAOT-Norte, 1999). In the northeastern sector of the basin occurs the ophiolitic complex associated to some mafic and ultramafic rocks like peridotites, 2. Site description Variable Mean Med. Min. 1°Q 3°Q Max. Var. Skew. Cu Pb Zn Ni Co Mn Fe As Cd V Ca P Cr Mg B K 24 28 75 28 12 508 2.97 28 0.24 33 0.12 0.065 31 0.47 2.55 0.34 19 24 69 21 10 351 3 18 0.2 27 0.07 0.055 23 0.35 2 0.27 1 4 14 2 1 16 0.58 2 0.2 4 0.01 0.012 3 0.04 2 0.04 12 20 54 8 4 190 2 13 0.2 17 0.02 0.038 12 0.2 2 0.13 29 31 83 34 16 602 3.81 36 0.2 40 0.19 0.078 35 0.73 3 0.45 111 171 344 539 55 3372 6.49 257 0.7 179 0.85 0.198 243 2.45 6 1.52 428 361 2034 2787 80 334,130 1.38 919 0.01 804 0.02 0.002 1169 0.17 0.68 0.08 2.0 4.7 3.9 8.6 1.5 3.2 0.4 4.5 2.9 2.6 2.3 1.5 3.3 1.9 1.6 1.7 The Douro River has its source in Spain, it runs approximately two thirds of its course through Portuguese territory and reaches the sea at the city of Oporto, north of Portugal. In Portuguese territory, the basin has an area of 18,643 km2, with E–W orientation. The mountains surrounding the Douro River basin, namely Gerês, Marão and Montemuro, determine its particular climate. Fig. 1 shows the elevation map of the study area. Such geomorphology results on the dominance of two climate types over the basin. In the west, the climate is strongly influenced by the sea, being humid (average annual rainfall ranges from 1200 to 2500 mm) and with mild temperatures (average annual temperature ranges from 11 to 15 °C). The eastern sector has a more continental climate, with a larger temperature range (cold winters and hot summers), and is dryer than the west sector (average annual rainfall ranges from 400 to 1200 mm). Table 1 Summary statistics for sixteen geochemical variables Cu, Pb, Zn, Ni, Co, Mn, As, Cd, V, Cr and B expressed in mg/kg; Fe, Ca, P, Mg and K expressed in %. Med. — Median; Min. — Minimum; 1°Q — 1st quartile; 3°Q — 3rd quartile; Max. — Maximum; Var. — Variance; Skew. — Skeweness. Author's Personal Copy 374 A.P. Reis et al. / Geoderma 141 (2007) 370–383 Fig. 4. Classed post maps (point maps) for Ni and Pb. The limits of the classes correspond to background values, deficiency and toxicity standards. Author's Personal Copy A.P. Reis et al. / Geoderma 141 (2007) 370–383 Table 2 Upper limits for the concentration classes defined using soil standards Cu_mg/kg Zn_mg/kg Co_mg/kg Mn_mg/kg As_mg/kg V_mg/kg Ca_% P_% Cr_mg/kg Mg_% K_% a Deficiency a Optimum a Normal a Excess a Toxicity a 5 15 5 20 – – 0.5 0.1 – 0.20 1 – 50 – 352 – – – – – – – 28 300 50 1500 20 50 3.57 0.57 100 1.22 5.77 100 – – N 1500 – – N 3.57 N0.57 – N 1.22 N5.77 N100 N300 N50 – N20 N50 – – N100 – – Kilby, 1998; Reiman and Caritat, 1998. 375 Table 4 Eigenvalues and percentages of the total inertia of the cloud for each of the four first factorial axes resulting from MCA Factorial axis Eigenvalue % Total inertia % Total inertia (cumulative) F1 F2 F3 F4 0.114867 0.052459 0.025032 0.015678 41.77 19.08 9.10 5.70 41.77 60.85 69.95 75.65 (iv) Regosols — normally correspond to downhill colluvial deposits. With regard to the general physical and chemical characteristics, these soils are poor in organic matter, predominantly acid amphibolites and gabros (massif of Morais and Bragança). Fig. 2 shows the geological map of the Douro River basin. As far as the origin of the soil is concerned, most of the soils within the basin derived from metassedimentary rocks and granitoids, being the vineyards soils of schistose origin. There are two main soil types in the basin: I. Soil that has been greatly affected by anthropogenic actions, being strongly altered both chemically and morphologically. This soil can be found in vines and it can be classified as an anthrosol, according to FAO-UNESCO (1988). Such soil has not been sampled and is not considered in this study. II. Soils affected by less aggressive anthropogenic activities where the geogenic signature is still recognizable. These undisturbed soils were used in this study. The most representative types within this group are (DRAOT-Norte, 1999; Galopim de Carvalho, 2003): (i) Leptosols — a generally thin layer of soil (less than 30 cm), slightly acid and poor in organic matter, with an efficient drainage system and a high vulnerability to erosion. (ii) Cambisols — a 50 to 100 cm layer of distric soil, poor in organic matter, fairly well drained and with low vulnerability to erosion. (iii) Anthrosols — a 50 to 100 cm layer of aric soil, poor in organic matter, well drained and with low vulnerability to erosion. Table 3 Codes for the categories used in multiple correspondence analysis Cu Zn Co Mn As V Ca P Cr Mg K Deficiency Optimum Normal Excess Toxicity Code 1 Code 2 Code 3 Code 4 Code 5 Cu1 Zn1 Co1 Mn1 – – Ca1 P1 – Mg1 K1 – Zn2 – Mn2 – – – – – – – Cu3 Zn3 Co3 Mn3 As3 V3 Ca3 P3 Cr3 Mg3 K3 Cu4 – – Mn4 – – – – – Mg4 – Cu5 Zn5 Co5 – As5 V5 – – Cr5 – – Fig. 5. Categories projections on the factorial planes F1/F2, F1/F3 and F1/F4. Author's Personal Copy 376 A.P. Reis et al. / Geoderma 141 (2007) 370–383 Fig. 6. Sample variograms of F1 (major and minor axes for each of the two spherical structures), F2 and F3 (major and minor axes for the single spherical structure) calculated along the main directions of the corresponding ellipse. The bold line matches the theoretical model fitted to the sample variogram. Author's Personal Copy A.P. Reis et al. / Geoderma 141 (2007) 370–383 377 Table 5 Parameters of the geometrical anisotropic spherical variogram models fitted to the first three axes of ACM Variable C0 C1 Range Direction Anisotropy C2 Range Direction Anisotropy F1 F2 F3 0.05 0.06 0.00 0.1 0.17 0.158 33,000 47,000 60,000 N35°E N35°E N10°W 1.7 1.3 1.5 0.19 – – 73000 – – N10°W – – 1.6 – – C0 — nugget effect; C1 — sill for the 1st spherical structure; C2 — sill for the 2nd spherical structure; Range — major range for each spherical structure in meters; Direction — major axis orientation for the ellipse of each spherical structure; Anisotropy = major axis/minor axis. (pH between 4.6 and 6.0) and have a dominant mixed clay/lithic matrix. As regards the use of the soil, 37% of the basin is occupied by forest, 41% is used for heterogeneous agriculture, 9% for vineyards and orchards, 8% for pastures and only 1% of the basin consists of artificial lands (DRAOT-Norte, 1999). Such distance can be graphically displayed projecting the categories on the factorial axes. Multiple Correspondence Analysis (MCA) can be seen as an extension of CA to more than two categorical variables. 3. Methods Variography provides a description of the spatial pattern of a continuous attribute Z. Given a data set for the variable Z at n locations xi, (Z(xi), i = 1, 2, …, n), the sample variogram γZ⁎(h) – the symbol ⁎ in this text will indicate estimates – measures the average dissimilarity between data separated by a vector h (Goovaerts, 1999), 3.1. Sampling, sample preparation and chemical analysis As shown in Fig. 3, 108 topsoil samples were collected within the basin. Due to the purpose of this work (assessing the inherent quality of the soil for cultivation), sampling locations were selected in order to avoid any natural or anthropogenic disturbance of the soil, or natural enrichments such as mineralisations. Composite samples, made up of 5 sub-samples, were collected over an area of approximately 100 m2, at a maximum depth of 15 cm. The organic layer (usually a thin cap of vegetation) was previously removed (Menezes de Almeida, 2005). The b 170 μm soil fraction, obtained by dry sieving, was taken for chemical analysis. A 0.5 g split of the soil samples was leached in hot (95 °C) aqua regia (HCl–HNO3–H2O) for 1 h. After dilution to a final volume of 10 ml with distilled water, the solutions were analysed by ICP-ES OPTIMA at ACME Analytical Laboratory (ISO 9002 Accredited Co.) for Bi, Mo, Sb, Cu, Pb, Zn, Ni, Co, Mn, Fe, As, Th, Sr, Cd, V, Ca, P, La, Cr, Mg, Ba, Ti, B, Al, Na, K, W and Hg. In order to assess the validity of the analytical results, accuracy and precision (repeatability) were calculated. The results have shown that the accuracy of the analytical procedure was usually inferior to 7.5%, with the exceptions of As and B (Er≅12%), while the precision was ≅5% for all elements, with the exceptions of B and Pb. 3.3. Variography g⁎Z ðhÞ ¼ 1 X ½ Z ð x i Þ Z ð x i þ hÞ 2 2N ðhÞ i¼1 N ðhÞ ð1Þ where N(h) is the number of data pairs at a lag of h. The variogram can be calculated for different directions of h, which allows us to know how the variable Z(x) varies in several directions of the space. 3.4. Ordinary kriging The main application of geostatistics to soil science has been the estimation and mapping of soil attributes in unsampled areas. Kriging is a generic name for a family of least-squares predictors. For the prediction of the variable Z at a location x0, {Z(x0)}, the estimator Z⁎(x0) is defined as (Goovaerts, 1999): Z ⁎ðx0 Þ ¼ n0 X ki Z ð x i Þ ð2Þ i¼1 3.2. Data analysis where n0 is the number of sample neighbours and the λi are weights found by solving the system of equations, Correspondence Analysis (CA) is a factor analysis method that uses categorical (or discrete) variables. It was designed to describe a two-way contingency table N (Benzécri, 1980; Greenacre, 1984), in which we find, at the intersection of a row and a column, the number of individuals that share the characteristic of the row and that of the column. Like other factorial methods, CA aims to reduce the number of variables and to detect a structure in the relationships between the variables. CA defines a measure of distance (or association) between two points, such points being the categories of the discrete variables. Benzécri (1980) used a distributional distance known as the x2. f n0 X kj g xi ; xj þ l ¼ gðxi ; x0 Þ; i ¼ 1; N ; n0 j n0 X kj ¼ 1 ð3Þ j with γ (h) being the theoretical model for the variogram of the variable Z (fitted to the sample variograms) and μ being a Lagrange multiplier. Author's Personal Copy 378 A.P. Reis et al. / Geoderma 141 (2007) 370–383 4. Results 4.1. Exploratory data analysis According to its effects on the grapes, we have considered three types of chemical elements: (i) Those that are nutrients for the grapes (P, K, Mg, Fe, B and Mn); (ii) Those meaning toxicity for the grapes (Pb, Ni, Cr, Cd, As and V); (iii) Nutrients which become toxic when existing in high concentrations in the soil (Ca, Co, Cu and Zn). The concentrations of the sixteen chemical elements in 108 soil samples are the continuous variables used to assess the inherent quality of the soil. To begin with, some simple statistical parameters were calculated to describe these continuous variables. The results are shown in Table 1. As indicated by the skewness coefficient, the distribution of the data for Pb, Zn, Ni, or As is highly positively skewed due to the presence of a few large values, that were statistically classified as outliers. Therefore, the use of parametric techniques like ordinary kriging can produce poor results, strongly influenced by the number of samples used in each prediction, which is a severe shortcoming when dealing with low-density sampling surveys. Additionally, the influence of these outliers and skewness can endanger the spatial continuity of the variogram function. The removal of the outliers from the data matrix does not seem reasonable if the intention is to work with toxicity levels (the outliers probably match the samples with toxic levels of these metals). Several solutions have been used to deal with this kind of variables based on some data transformations (indicator, logarithmic, or some other normal-score transform). The approach used in this study was the indicator transform obtained by discretisation of the continuous variables using meaningful thresholds. The new attributes produced did not have a quantitative input but a qualitative one. Maximum values presented in Table 1 also show that the maximum concentration for Cd (0.7 mg/kg) is lower than the toxicity level [1.5 mg/kg (Reiman and Caritat, 1998)]. Such metal has no known function in plant metabolism and only acts as a toxic substance if assimilated in high amounts. Since Cd concentrations in these soils are not within toxic levels, the element was excluded from this study. Table 1 also shows that Fe concentrations (minimum of 5800 mg/kg) are well above minimum acceptable values for a normal growth of the wine grapes (b50 mg/kg according to Kilby, 1998), meaning that Fe deficiency is not a concern for these soils. An inverse result was found for B, which has a maximum value of 21 mg/kg. Kilby (1998) proposes a deficiency threshold of 21 mg/kg, meaning that the soils of the Douro River basin are naturally poor in B. Previously to more complex mapping, classed post maps were done for the remaining thirteen geochemical variables. Such maps provided relevant information regarding the spatial point distribution of some geochemical variables. Fig. 4 gathers Fig. 7. Map of F1, the first factorial axis produced by MCA. Author's Personal Copy A.P. Reis et al. / Geoderma 141 (2007) 370–383 379 Fig. 8. Map of F2, the second factorial axis produced by MCA. the relevant maps and shows that, with one exception, concentrations of Ni and Pb in the soil are always below the toxicity level, corresponding to 210 mg/kg (Swartjes, 1999) and 100 mg/ kg (Reiman and Caritat, 1998), respectively, meaning that natural concentrations of these heavy metals do not reach hazardous values in this basin. This exploratory analysis resulted in the removal of Cd, Fe, B, Ni and Pb from the statistical analysis. 4.2. Categorisation of the geochemical variables To categorise the geochemical variables it was necessary to divide them into classes of concentrations, limited by standards stated in scientific literature. According to the nature of the geochemical variable (nutrient or toxic heavy metal) several types of standards were used: 1. Background values for Portuguese soils (Inácio, 2004); 2. Plant-specific standards for grapevine cultivation (Kilby, 1998); 3. Maximum tolerable level for agricultural soils (Reiman and Caritat, 1998) whenever existent; 4. Potential-risk standards for soils (Swartjes, 1999) if standards for agricultural soils were not available. Therefore, categorisation involved plant-specific standards for nutrients and maximum tolerable values for agricultural soils, or potential-risk standards for heavy metals. Five categories were then defined: Deficiency, Optimum, Normal, Excess and Toxicity (codes 1, 2, 3, 4 and 5, respectively). Note that the Optimum category is a sub-class of the Normal category, defined only for Zn and Mn (elements with thresholds defined for an Optimum category), representing a narrower concentration interval for which there's the most favourable plant growth. In this sense, the definition of such a category was just a refinement to obtain a more detailed soil classification. Refinements for the remaining classes were not done due to the lack of more specific soil standards. The different character of the several geochemical variables (nutrient, toxic or both) resulted in a different number of categories for each variable, since some elements are necessary for the plant, while others do not play any role in its metabolism. Table 2 shows the soil standards used to establish the Table 6 Parameters of the geometrical anisotropic spherical variogram models fitted to the soil properties Variable C0 C1 Range Direction Anisotropy Cu Zn Co Mn As V Ca P Cr Mg K 10 250 20 80,000 10 100 80 1.75 60 500 100 415 1755 59 250,000 900 695 122 15.2 1100 1150 720 65,000 50,000 79,000 80,000 55,000 55,000 63,000 32,000 42,000 60,000 30,000 N10°W N35°E N10°W N35°E N55°W N10°W N10°W N35°E N55°W N10°W N55°W 1.90 1.25 1.80 1.60 1.50 1.30 1.30 1.50 1.10 2.90 1.20 C0 — nugget effect; C1 — sill for the 1st spherical structure; C2 — sill for the 2nd spherical structure; Range — major range for each spherical structure in meters; Direction — major axis orientation for the ellipse of each spherical structure; Anisotropy = major axis/minor axis. Author's Personal Copy 380 A.P. Reis et al. / Geoderma 141 (2007) 370–383 Fig. 9. Geochemical maps of Cu, Ca, Co and Cr, for the natural soils of the Douro river basin. different concentration classes. Table 3 shows the resulting categories (for each geochemical variable) that were used to run MCA. it was necessary to define theoretical models of spatial variability for the new variables, the MCA factorial axes. 4.4. Variography 4.3. Multiple correspondence analysis (MCA) From the ten factorial axes (or axes of inertia) produced by the analysis, we have considered the first four, which account for about 75% of the total inertia of the cloud. Table 4 shows the inertia accounted by each axis and Fig. 5 displays the categories projections on the first three factorial planes. The results show that the 1st factor (F1) opposes the lower concentrations (Deficiency and Optimum categories) to the higher concentrations (Excess and Toxicity categories), whilst the 2nd factor (F2) clearly separates average values (Normal category) from the extreme ones (Deficiency, Optimum, Excess and Toxicity categories). The 3rd factor (F3) detaches toxic levels of Cu from those of other heavy metals, and the 4th factor (F4) opposes high levels of Co, Cu, Zn and Mn to high levels of V, Mg and Co. To define inherent quality indicators of natural soils using spatial patterns of distribution, for nutrients and toxic elements, In order to account for the spatial structure, the variograms were calculated for the directions N80°E, N35°E, N10°W and N55°W. Such directions were selected based on the regional geology of the basin. A theoretical model of spatial variability was fitted to the sample variogram. Fig. 6 displays some directional variograms for F1, F2 and F3. Despite the fact that four directional variograms were calculated for each variable, only those along the minor and major directions of the ellipses formed by the geometric anisotropies are shown (the existence of two structures for F1 lead to the display of the variogram along four directions). Table 5 shows the parameters of the models fitted to the sample variograms. The spatial model of variability for F1 shows three components of continuity, a nugget effect and two spherical structures with a geometric anisotropy, while the model for F2 has two components of continuity, a nugget and a spherical structure, also with a geometric anisotropy. The spatial model for Author's Personal Copy A.P. Reis et al. / Geoderma 141 (2007) 370–383 381 Fig. 10. Geochemical maps of P, V, Mn and Mg, for the natural soils of the Douro river basin. F3 shows only a single component of variability, a spherical structure with a geometric anisotropy, meaning that for F3 the variations at a micro-scale (sample scale) are insignificant. 4.5. Maps of MCA factors (ii) Associated to the negative semi-axis of F1 are the Deficiency and Optimum categories, meaning that negative coordinates normally represent a deficiency in some nutrients like Zn, Cu, Mn, Mg and Co. The negative anomalies (light grey) are probably spatially related with the granitoids which are common within the basin. The theoretical models of spatial variability fitted to the sample variograms (Table 5) were used to estimate, by ordinary kriging, the categories coordinates along the factorial axes, at unsampled locations. Fig. 7 shows the map for F1. Bearing in mind the results of MCA (projections on the first factorial plane, Fig. 5), the spatial distribution of F1 shows that: According to these results, the elemental concentrations in the soils seem to be naturally controlled by the regional geology of the basin. Fig. 8 shows the spatial distribution of F2. Once again, we need to consider the results of MCA (projections on the first factorial plane, Fig. 5). The spatial distribution of F2 shows that: (i) Associated to the positive semi-axis of F1 are the Excess and Toxicity categories of the variables (Zn and As are the exceptions). This shows that positive coordinates (corresponding to high concentrations of Co, Cr, Mg, Cu, V and Mn) occur mostly on the soils of the NE sector of the basin. Such high concentrations (dark grey areas) seem to be spatially related to the ophiolitic complex and its associated mafic and ultramafic rock (Figs. 2 and 7). (i) With positive coordinates (dark grey areas) at F2 (except for Ca), we have the extreme values, that is, the Deficiency, Optimum, Excess and Toxicity categories, while with negative coordinates (light grey areas) we have the Normal category. The spatial distribution of F2 shows a NE–SW trend that seems to be similar to the relief of the basin, with the extreme categories distributed along the high relieves and the normal concentrations along the low ones. Author's Personal Copy 382 A.P. Reis et al. / Geoderma 141 (2007) 370–383 Fig. 11. Geochemical maps of Zn, As and K, for the natural soils of the Douro river basin. (ii) Zinc and arsenic are the exceptions, showing high concentrations associated to normal concentrations of the other elements. The spatial distribution of F3 and F4 has a strong geologic character, with both axes clearly related with the ophiolitic complex and its associated mafic/ultramafic rocks. As the understanding of the geological processes was not the aim of this study, maps of F3 and F4 are not included in the paper. 4.6. Geochemical maps Since the results of MCA were not completely clear about which natural phenomenon controls the spatial distribution of which element, we decided to investigate the spatial distribution of each soil property separately. In order to do so, experimental variograms were computed for several directions and a theoretical model of spatial variability was fitted to the sample variogram. Table 6 shows the parameters of the spherical models (with geometrical anisotropies) fitted to the variograms. These models of spatial variability were used to estimate values of the soil properties, at unsampled locations, by ordinary kriging (Goovaerts, 1999). Figs. 9, 10 and 11 show the regional distribution maps for the 11 geochemical variables. The contour levels used equal the minimum, 1st quartile, median, 3rd quartile and maximum values of each data population. The geochemical elements in Fig. 9, Cu, Ca, Co and Cr, show a spatial pattern similar to that of the regional geology, since the high values at the NE of the basin match the ophiolitic complex and its associated mafic and ultramafic rocks. A similar pattern of spatial distribution can be seen in Fig. 10 for V, Mn and Mg, while K shows a different distribution that cannot be related to the geology. With the exception of Ca, such results are identical to those obtained with the maps of MCA factors; V, Mn, Mg, Cu, Co and Cr associated to F1 that has a spatial distribution controlled by the geology (Fig. 7). For Ca, the interpretation of MCA results was harder, due to the low number of classes of the variable (two classes only, Ca1 associated to F2 and Ca3 associated to F1). However, its spatial distribution is similar to those of the previous variables and we can assume that the contents of Ca in the soil are also geogenic. Different spatial distributions were obtained for P, Zn, As (Fig. 11) and K, but such distributions do not seem to be related to the regional geology. However, Zn and P have a NE-SW trend, quite similar to the image of F2. Similarly to Ca, it was more difficult to interpret K and As, probably due to the Author's Personal Copy A.P. Reis et al. / Geoderma 141 (2007) 370–383 low number of classes used in the MCA for these variables. Nevertheless, it is quite probable that other phenomena besides regional geology or geomorphology can control the distribution of these elements, and such small scale phenomena were probably undetected by the regional survey. 5. Conclusions This study focuses essentially on the applicability of some statistical methods to assess the inherent quality of the natural soils for grapevine cultivation, in the Douro river basin, or in a broader approach, to assess some quality parameters based on critical standards. The results show that: (i) The geochemistry of the basin is related to the regional geology, meaning that atmospheric deposition of metals and metalloids is small. This assumption is supported by the MCA (spatial distribution of F1) and by the geochemical mapping of Co, Cr, Mg, Cu, Ca, V and Mn. (ii) There seems to exist a certain control of the topography over the distribution of element's concentrations, probably related to the regional geology (and tectonic), but such hypothesis is only suggested by the similitude between the relief and the patterns of spatial distribution of F2, Zn and P. The results of MCA are not conclusive, perhaps due to the low number of classes used for some variables. However, additional thresholds suitable for the categorisation of such variables are not presently available. (iii) The soils of the basin are naturally deficient in boron. This result is not totally unexpected, since acid soils with light textures under humid climates usually have low contents of boron (Queijeiro et al., 2004). However, grapevines are extremely sensitive to boron deficiencies, an essential micronutrient particularly, during the early stages of growth. (iv) The soils in the Northeast sector have high concentrations of Co, Cr, Mg, Cu, V and Mn, probably related to the ophiolitic complex and its associated mafic/ultramafic rocks. From these, Cr, Cu, Co and V are potentially toxic to the grapes, and Mn and Mg inhibit the normal growth of the plant when excessively concentrated in the soil. A common symptom of Mn excess is the development of black, glossy dots on the grape berries, due to the accumulation of Mn oxides (Menezes de Almeida, 2005). (v) Soils related to the granitoid units are deficient in some nutrients, like Zn, Cu, Mn, Mg and Co. Consequences of the deficiency in these nutrients are an early falls of the leaves or a reduction in berry volume (Menezes de Almeida, 2005). Acknowledgements We wish to thank the reviewers for their helpful remarks. We are also extremely grateful to Dr. Denise Terroso and Dr. Susana Senos for their thorough revision of the final manuscript. 383 References Benzécri, J.P., 1980. L'analyse des donnés. Tome 2, Dunod, Paris. (305 pp.). DRAOT-Norte, 1999. Caracterização geral da Bacia Hidrográfica do Rio Douro. PBH do Rio Douro, vol. III. Direcção Geral do Ambiente e Ordenamento do Território, Porto. (Available at http://www.inag.pt/ (consulted August 2004, in Portuguese)). DRAOT-Norte, 2001. Anexos cartográficos referentes ao Plano da Bacia Hidrográfica do Rio Douro. PBH do Rio Douro, Vol. III. Direcção Geral do Ambiente e Ordenamento do Território, Porto. (Available at http://www. inag.pt/ (consulted March 2004, in Portuguese)). FAO-UNESCO, 1988. Soil map of the world. Revised legend. World Soil Resources Reports, vol. 60. FAO, Rome. (119 pp.). Galopim de Carvalho, A.M., 2003. Geologia sedimentar. Sedimentogénese, vol. I. Editora Âncora, Lisboa. (444 pp. (in Portuguese)). Goovaerts, P., 1999. Geostatistics in soil science: state-of-the-art and perspectives. Geoderma 89, 1–45. Greenacre, M., 1984. Theory and applications of correspondence analysis. Academic Press. (364 pp.). Inácio Ferreira, M. M. S. I., 2004. Dados geoquímicos de base de solos de Portugal Continental, utilizando amostragem de baixa densidade. PhD Thesis, University of Aveiro, Aveiro, Portugal. (in Portuguese). IVDP, 2006. http://www.ivp.pt/ (consulted February 2006). Jiménez-Espinosa, R., Sousa, A.J., Chica-Olmo, M., 1992. Application of correspondence analysis and factorial kriging analysis: a case study on geochemical exploration. Geostatistics Troia'92 2, 853–864. Jolliffe, I.T., 2002. Principal Component Analysis, 2nd edition. Springer, New York. Kilby, M., 1998. Nutritional status of wine grapes cultivars in Southern Arizon. Citrus and Deciduous Fruit and Nut Research Report, College of Agriculture, The University of Arizona, Tucson, Arizona (Available at http://ag.arizona. edu/pubs/crops/az1051/az105117.html (consulted March 2004)). Menezes de Almeida, L., 2005. Atlas geoquímico dos solos das Bacias Hidrográficas dos Rios Douro e Mondego. MSc Thesis, University of Aveiro, Aveiro, Portugal, 117 pp. (in Portuguese). Queijeiro, José M.G., Escudero, Angeles, Alvarez, Cristina, 2004. Contenido y formas de Boro de los suelos de viñedo del interior de Galicia (NO de España). I Congresso Ibérico da Ciência do Solo, Bragança, Portugal, p. 94 (in Spanish). Reiman, C., Caritat, P., 1998. Chemical elements in the environment: factscheets for the geochemical and environmental scientist. Springer-Verlag, Berlin Heidelberg. (398 pp.). Reis, A.P., Sousa, A.J., Ferreira da Silva, E., Patinha, C., Cardoso Fonseca, E., 2004. Combining multiple correspondence analysis with factorial kriging analysis for geochemical mapping of the gold–silver deposit at Marrancos (Portugal). Applied Geochemistry 19 (4), 623–631. doi:10.1016/j. apgeochem.2003.09.003. Reis, A.P., Sousa, A.J., Ferreira da Silva, E., Cardoso Fonseca, E., 2005. Application of geostatistical methods to arsenic data from soil samples of the Cova dos Mouros mine (Vila Verde — Portugal). Environmental Geochemistry and Health 27, 259–270. doi:10.1007/s10653-004-5554-y. Swartjes, F.A., 1999. Risk-based assessment of soil and groundwater quality in the Netherlands: standards and remediation urgency. Risk Analysis 19 (N°6), 1235–1249. Wu, J., Norvell, W.A., Welch, R.M., 2006. Kriging on highly skewed data for DTPA-extractable soil Zn with auxiliary information for pH and organic carbon. Geoderma 134 (1–2), 187–199.