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Journal of soil science and plant nutrition

versão On-line ISSN 0718-9516

J. Soil Sci. Plant Nutr. v.11 n.1 Temuco  2011 

J. Soil Sci. Plant Nutr. 11 (1): 87- 99 (2011)




J.L. Cucunubá-Melo1, J.G. Álvarez-Herrera2* and J.H. Camacho-Tamayo3

1Coordinador planta de compostaje, PALMACEITE S.A., Aracataca Magdalena, Colombia.

2Grupo de Investigaciones Agrícolas (GIA), Facultad de Ciencias Agropecuarias. Universidad Pedagógica y Tecnológica de Colombia, Tunja. Av. Central del Norte.Colombia. *Corresponding author:

3Programa de Ingeniería Agrícola, Facultad de Ingeniería, Universidad Nacional de Colombia, Bogotá.Colombia.


Oil palm (Elaeis guineensis Jacq) is an alternative for the development of productive systems in the tropics. By determining the spatial variability of physical characteristics of soil, specific recommendations for certain areas within a zone can be made. Geostatistical analysis can determine the existence and characteristics of the spatial distribution and is an appropriate tool for analyzing the spatial variability of soil properties. The aim of this study was to determine areas with homogeneous physical characteristics in order to establish agricultural management units, using geostatistical techniques. For this study, 62 samples were collected in 10.6 ha in the municipality of El Reten (Magdalena, Colombia). The properties analyzed were: content of sand, silt and clay, particle density, bulk density, total porosity, gravimetric and volumetric water content, hydraulic conductivity and infiltration rate. All properties showed spatial correlation, with adjustments to semivariograms theoretical models, mostly to the spherical model, with ranges between 84.87 and 218.60 m and moderate to strong spatial dependence. The contour maps obtained through ordinary kriging, allowed for the identification of the relationship between the different physical properties of the soil and subsequent classification to determine the Agronomic Management Units (AMU).

Keywords: geoestatistics, semivariogram, kriging, precision farming, Elaeis guineensis Jacq.


In Colombia, planting of oil palm (Elaeis guineensis Jacq) is often carried out in soil with low fertility and in areas with other constraints, in which crop yield is affected by high fertilizer costs, land improvement and counteractions to biophysical problems (Rubiano, 2005). A high proportion of the current crop of oil palm growing on soils that were previously used in rice farming or livestock farming generates changes in soil properties over time, such as increased bulk density, reduced hydraulic conductivity and deterioration of soil structure (Munevar, 1998). In addition, many of the cultivated soils of oil palm in the north of Colombia have special characteristics, like high montmorillonite clay content and vermiculite-illite integrated 2:2 and 2:1. In these soils, it is typical to find physical constraints such as compaction, high bulk density values and low hydraulic conductivity (Garzon, 2008).

In a study conducted in Central America, Duran and Ortiz (1995) concluded that soil aeration and water deficiency affect the production of palm oil. These authors found that production is linked to soil type, and identified different zones according to the physical properties, for instance sandy loam textured soils showed higher productivity, due to adequate aeration, a condition that may be affected temporarily by the presence and frequency of high precipitations. On the other hand, it appears that the management provided in most palm oil plantations is homogeneous, without considering the spatial changes occurring in different soil properties, variability due to various natural processes (climate, topographic interaction with plant and animal species) or human activities and, in particular, to the different cultural practices carried out in agricultural production (Molin et al, 2008). Spatial variability, defined as patterns in the spatial distribution and relationships between soil properties and crop productivity, has been studied in different soil types, and several areas have been identified for carrying out management tasks such as fertilization, soil preparation, irrigation and drainage design, among others (Fietz et al, 1999, Camacho-Tamayo et al, 2008, Ramirez-Lopez et al, 2008).

Currently, there is a global trend in the agricultural sector to generate information about causes of spatial variability of soil properties, in order to facilitate decision making with different tools of geographic information, that allow the management of crops through techniques known as agricultural management units (AMU), or precision agriculture and site specific management. These techniques have enabled the development of models and management systems more suitable for agriculture (Godwin and Miller, 2003). A geographic information system is a set of tools for capturing, storing, retrieving, processing, displaying and analyzing various types of geographically referenced data. This information seeks, among other things, to generate information that can be translated into thematic maps that can be combined to analyze possible interactions between variables (Burrough and MacDonnell, 1998). Such a tool is geostatistical analysis, which is used to identify the spatial distribution and behavior of the traits studied by setting theoretical semivariogram models that show the correlation of the variable in different directions and distances of separation. These models can estimate the values of the studied variable in areas not sampled by interpolation through ordinary kriging (Dale et al, 2002).

Therefore, the objective of this study was to determine the spatial variability of physical properties of soil through geostatistics and kriging techniques for the identification of agricultural management units (AMU) in an area planted with oil palm.



Study site and field experiment conditions

The study was carried out in a commercial oil palm plantation in El Libano, located in the municipality of El Reten (Magdalena), with the geographic coordinates 10°38'N, 74°19'W and 15 m a.s.l. The area has a warm climate with average temperature of 28°C, relative humidity of 70% and an average annual rainfall of 850 mm that is concentrated in the months from May to November. Gently undulating terrain was found in this zone with inclines between 2%o and 5%. The soil characteristics were determined, following the methodology proposed by the USDA (2006), as: the soil is Typic Duraquert, deep, with angular and subangular blocky structures, the texture of A and B horizons is clay loam, a pH ranging from neutral to basic (6.8 to 7.9) and little presence of macropores (<4%).

The study area has 10.6 ha planted with 2 year-old oil palm, variety Deli X Nigeria. This area was traditionally planted with rice and before the cultivation of oil palm it was a place for animal husbandry for close to 10 years, and had flooding problems until 2006 when it was drained and leveled with the construction of channels in order to establish a palm plantation. Due to the excessive mechanization and overgrazing the zone was subjected to, it had compaction problems. Currently, kudzu (Pueraria phaseoloides) is used as ground cover for strategy management and soil conservation.

Field study

Initially, an altimetry study, with the help of a level and geo-positioning system (GPS), was employed to establish a map of the area and identify areas with potential drainage problems and flooding. For sampling, a grid of 62 points was established, regularly spaced every 45 m, in mutually perpendicular directions. At each point, an undisturbed soil sample was collected in cylinders with a diameter of 5 cm and height of 2.5 cm, at a depth between 0 and 30 cm. With these samples, the following parameters were determined: the contents of sand, silt and clay by the Bouyoucos Hydrometer method, bulk density (Da) by the mass -volume method, particle density (Dr) by the pycnometer method, total porosity (Pt) and gravimetric moisture content (HG) and volumetric moisture content (HV). At each sampling point, infiltration was also tested with a double ring infiltrometer as well as saturated hydraulic conductivity by Auger Hole method (Montenegro and Malagon, 1990).

Statistical analysis

Descriptive statistics were initially used for analyzing the data, for calculating the mean, median, minimum and maximum coefficient of variation (CV), skewness and kurtosis, and the Kolmogorov-Smirnov test for normality, which were estimated using SPSS 16.0 software. Thus, normality was verified for the attributes which were not indispensable, and provided better predictions when it was combined with geostatistical techniques (Diggle and Ribeiro, 2000). For CV analysis, the classification of Pimentel-Gomez and Garcia (2002) was used, authors who classified the variability of an attribute according to the magnitude of its coefficient of variation, being low for values below 10%, average between 10% and 20%, high between 20% and 30% and very high if it is greater than 30%.

Subsequently, adjustments for theoretical semivariogram models were made, based on the theory of regionalized variables, which provides different methods of analysis of spatial variation, one of which is semivariogram (Vieira, 2000). This analysis assumes that the measure of a property of two samples separated by a distance, is similar if the distance is small, reflecting a major difference when the distance increases. The semivariance is estimated by:

where z(xi) is the sample value at each point xi, in which data are available both in xi and in xi + h;N(h) is the number of data pairs separated by a distance h.

The representation of the values obtained in each region versus y(h) graphically is the experimental semivariogram, which adjusts with the theoretical model to estimate the coefficients of the nugget effect (C0), plateau (C0+Ci) and range or scope (a). The nugget effect indicates the discontinuity between samples or the spatial variability that is not detected during the sampling process (Vieira, 2000). The plateau is the value of the semivariance where the model is stable and has a constant value. The range is the maximum distance at which values of one variable are spatially dependent. The results were fitted to spherical, exponential and Gaussian models, which are common in the study of spatial variability of soil properties. The spherical model is defined by,

The exponential model is defined by,

where d is the maximum distance at which the semivariogram is defined. The Gaussian model is defined by:

Once the best fit model for each property was determined, contour maps were created using ordinary kriging, which allows for the prediction of a property in the non-sampled areas. Degree of spatial dependence (DSP) was confirmed by the relationship between the nugget effect and the plateau (C0/C0 + C1). The DSP is considered strong above 75%, moderate DSP is between 25% and 75% and weak is less than 25% (Cambardella, 1994).



Descriptive statistical analysis

The results obtained in the descriptive analysis showed that most of the attributes are close to normal distribution (Table 1), as indicated by similar values of mean and median, in addition to the close to zero values of skewness and kurtosis, verified by the Kolmogorov-Smirnov normality test. Normality for these attributes is reported by several authors in different soil types (Ramirez-Lopez et al, 2008, Rodriguez-Vasquez et al., 2008).

Sand and silt content and hydraulic conductivity attributes did not follow a normal distribution, as seen in the significant result from the test for normality. In the case of sand content and hydraulic conductivity (Ks), it was observed that the values of the mean and median are distant, showing very high coefficients of variation (CV), also seen in the significant results of the Kolmogorov-Smirnov test. Silt content also varied from normal distribution despite the fact that the values of the mean and median for this attribute are similar, verified with the values of skewness and kurtosis that are distant from zero. According to Cressie (1993), more important than normality is the verification that normal distribution does not have very long tails to avoid compromising the results, especially when applied to kriging, where estimates are based on average values (Warrick and Nielsen, 1980). Another important fact is the occurrence of a proportional effect between the mean and variance data along a surface to estimate well-defined plateaus in the semivariogram models.

The behavior of the CV reflects the variability of the attributes studied. According to Pimentel-Gomez and Garcia (2002), the soil attributes that showed low variability were bulk density (9.52%) and particle density (6.20%) (Table 1), the former because it is a mineral soil with particles of similar weight in the entire study area but with high levels of compaction, and the latter because there are no marked changes in the clay content. Average change was presented in total porosity (Pt) which was 13.62% and silt content (19.15%). The other attributes showed high variability, highlighting the high values of CV of sand (62.09%), infiltration rate (Vi) (73.47%) and Ks (73.50), a property that is strongly related to different textural changes in the composition of the soil (Moreno et al., 2001). The high variability of Ks and Vi can also be explained by the different uses and management of the area, leading to a decrease and disruption of the pores (Dorner et al., 2009) as well as the presence of expansive clays such as vermiculite, which induces the presence of cracks up to 1 cm (Khresat and Taimeh, 1998), increasing the values of water movement in soil.

Geostatistical Analysis

All attributes adjusted to the theoretical semivariogram models, predominantly the spherical model, although Da fitted an exponential model and silt a Gaussian model (Table 2). The adjustment of different physical attributes is also reported by several authors (Duffera et al, 2007; Ramirez-Lopez et al, 2008: Rodriguez-Vasquez et al, 2008). HG was the attribute that had the lowest coefficient of determination (R2), showing a smaller representation of the fitted model. The other parameters showed a higher R2 of 0.70, indicating an adequate reliability of the model. This result, together with values close to one (1) of the coefficient of cross validation, ensures a good representation of the values found, the theoretical values were estimated, which were then represented in contour maps by kriging (Faraco et al, 2008).

The contents of silt and sand were attributes that had the lowest ranks, below 100 m. Moreover, the attribute that had the greatest scope was Vi, with a value of 218.60 m. In general, most attributes presented ranges close to 100 m, confirming that the distance chosen for the initial sampling between points (45 m) was appropriate as it allowed the identification of the spatial dependence for all attributes, in addition to presenting ranges less than the maximum sampling distance, which was approximately 500 m for this study, complying with the precepts of the regionalized variable theory (Vieira, 2000).

All properties had a definite plateau which suggests the presence of an unexplained microvariability in the sample due to the heterogeneity of the soil sampling sites and the fact that the properties did not have changes in their general characteristics at short distances (Arrouays et al, 2000). However, it was observed that most attributes presented a strong GDE, with values greater than 0.80, except for Dr and clay content, attributes with a moderate DSM, with values of 0.64 and 0.74, respectively.

Analysis of the spatial distribution

Contour maps can establish relationships between the studied properties, showing some similarity between them. For example, areas with higher clay content (Figure 1E), correspond to areas with high values of Da and Dr (Figures 1A and 1B), moderate and low values of Pt (Figure 1C), higher moisture content (Figures 2A and 2B) and the lowest values of Vi and K (Figures 2C and 2D). In all cases, a marked dependence was presented in the physical characteristics of the soils in the central part following a curve to the northwest part of the study zone (Figures 1 and 2). The study area has a tropical climate with high rates of precipitation followed by drought periods that generate large cracks in the soil that produce a lessivage or leaching from clay particles being carried downward and upward, generated by slickensides surfaces present in vertisols, attributed to the characteristics of vermiculite-type clay (Nordt et al., 2004). The presence of these clay minerals increases the hydraulic conductivity (Kapur et al., 1997). The spatial distribution is influenced by the geomorphology of the study area, since this zone, before being used in agricultural production, was an area with swamps and wetlands.

Bulk density is the property that presented the lowest heterogeneity, followed by soil moisture content. However, it is notable that in the southeastern part, despite being a clay soil, it has values of bulk density close to 1.6 Mg m-3,which may occur with this soil due to the use of these lands for stockbreeding,possibly genera- ting compaction problems, as well as the influence of chemical properties that affect this property such as the high exchangeable Na+ percentage (10% and 19%) found in the study area, because it acts as an ion that disperses the soil particles. It is also responsible for separating organic matter particles of sand, silt and clay, causing poor structure in the soil (Sposito, 1989) and a decrease in the pore space (Montenegro and Malagon, 1990) that inhibits water movement into and through the soil (Bohn et al, 2001). Something similar occurs with the speed of infiltration (Figure 2C), which has moderately slow and slow values in this zone because of the presence of high levels of sodium.

Once the characteristics were described, three Agronomic Management Units (AMU's) were defined, which were determined by the similar values of the evaluated properties. The CV for the standardization of the classification of the three units was taken as reference (Table 3).

AMU 1 has an area of 3.55 ha (Figure 3), with soils with higher sand content, which present textures from sandy to sandy loam, a Da between 1.53 and 1.67 Mg m-3, where plants looked healthy, tall and vigorous, with good root depth that varied between 0.45 and 0.65 m. The kudzu planted in this AMU also has large leaves.

AMU 2 has an area of 5.11 ha, and shows the highest contents of clay, with a texture of clay to sandy clay loam, a Pt greater than 45% and a moderate to moderately slow Vi (Montenegro and Malagon, 1990). It presents large plants, with a dark green color more intense than AMU 1, the roots reach a depth of 35 to 40 cm. In this AMU, fruit production is higher than in AMU1.

The third AMU has an area of 2.38 ha. This zone is similar to AMU 2, since there are no variations in texture, but there are variations in other physical characteristics such as Da, with values close to 1.62 Mg m-3, Vi between slow and very slow, caused by the presence of salts, as observed in the field. This AMU has small plants, low foliar area and poor root systems that do not reach 0.20 m, and at the time of this study had not begun fruit production.

The most important change is shown by the infiltration rate, which has a CV of 73.47% for all samples, a variation that decreased from 57.40% to 44.85%, allowing the definition of the AMU's. It is important to note that the CV of the sand content for AMU 3 contrasts with the CV of the infiltration rate, due to the compaction caused by sodium in this unit. The CV in all the other properties was higher in AMU 1 and 2 caused by the great variability of soils in these areas. This needed the classification of the areas with similar characteristics and behaviors, which gave rise to three AMU's, having marked differences between them in the infiltration rate.


Significant clay content was observed in the study area due to the mineralogical characteristics and the pedogenetic processes of these soils, given the ease with which the clays migrate from one place to another and the phenomena of contraction and expansion this soil presents.

High bulk density, low porosity and slow infiltration rate determined AMU 3, due to the fact that soil compaction is a barrier to root development of the palm, plus high sodium contents, which limit the conditions for crop growth and therefore prompt the corrective application of gypsum amendments and additions of organic matter prior to the planting of the crop, in order to improve the physical and chemical properties.

In general, AMU 2 was determined by higher clay content and low sand content, showing moderate to low infiltration rates. The silt content is in the middle range, which is similar in all the AMUs.



All attributes presented variability, low for the bulk density and particle density and high for sand content, infiltration rate and hydraulic conductivity. This variability adjusted to theoretical models for the properties analyzed. The properties presented a well defined spatial dependence, and adjusted predominantly to a spherical model with high degrees of spatial dependence, except for the particle density.

The use of kriging for the contour maps allowed for the identification of management zones and the relationship between different soil physical properties, which facilitated their subsequent classification to determine Agronomic Management Units. However, at the time of applying this methodology to obtain AMU's, it is important to locate and describe any details that provide a clear picture of the status of the plant, in terms of age, variety, health, physiological state or abnormal behavior for the purpose of modifying crop management.

For future studies, the effect of all the physical properties of the soil and the relationship with organic matter should be considered. This methodology can also be applied in studies of other production systems, considering the biological characteristics of plants for proper implementation of specific site management, leading to the optimization of crop productivity.



To the Soil and Water program of CENIPALMA, for financial support. To Aceites S.A., for logistical support.



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