3.1. Descriptive Statistics of Soil Properties and Wheat Yield
Results of the Shapiro–Wilk normality test of collected soil properties data for both sampling datasets (before and after fertilization) showed that all the collected parameters were normally distributed (
p > 0.05) except EC, SOM, and total N. These parameters can be normalized by z-score, which is the deviation in data points that would lie above or below the mean [
41]. The overall variation within the field assessed using the coefficient of variation (CV) [
34] and the statistical analysis showed the least to a higher variation in yield and soil properties. The pH of the soil had a low variation (CV < 15%) for both sampling rounds. The SOM, N, and P showed high variations (CV > 35%) at the 30 cm sampling depth, as shown in
Table 1, and N showed high variability for Field 2 for 15 cm and 30 cm depths. Mean values of M.C and available forms of N, P, and K values were higher in Field 1 as compared to Field 2 that might be due to the variation in soil properties and crop’s physiological growth parameters amid different varieties of wheat. The total N mean value was higher at 15 cm than 30 cm for both fields. The results of this study are supported by other studies conducted in wheat and wild blueberry cropping systems, where the spatial variation also found moderate to high CVs for these soil properties except pH [
35,
42], which may be due to the logarithmic nature of pH.
Soil EC at 30 cm depth (before fertilization) and 7 cm depth (after fertilization) showed high variations while, on the other hand, M.C showed moderate variation before and after fertilization. SOM at 15 and 30 cm depths showed moderate variation (
Table 2). The EC showed high variation at 15 cm and 7 cm depths before and after fertilization (
Table 2). The total N and SOM showed high variations at 30 cm (
Table 1). The wheat yield in
Table 1 and
Table 2 had a CV between 2.4% and 14.2% that showed a weak variation. The average yield was poor in both fields due to the presence of more weeds and dry areas, different varieties of wheat, or less nutrient availability for plant growth and development. The main problem in the arid region is a lack of water availability, and water stress might have reduced the crop yield [
43]. This study investigated the spatial variations in soil properties and yields. The M.C showed a similar pattern of change at both stages indicated by their CVs. All the parameters showed positive skewness for all depths except EC and K at 15 cm, pH and K at 30 cm, and N from 7 cm, while P results showed the same level of data skewness at both sampling rounds (
Table 1). The EC was highly skewed at 30 cm for Field 2 and pH was highly skewed at 7 cm as depicted in
Table 2. The SOM at the sampling depth of 0–30 cm showed a high variation (CV = 53.2%) in Field 1 and Field 2, and P was highly variable (CV = 55.6%) at the 0–30 cm depth. The temporal variation also affected the results, but this research focused on spatial variation in the arid region.
3.2. Geostatistical Variation in Soil Properties and Grain Yield
Geostatistical analysis was used to represent the spatial autocorrelation between crop yield and soil properties. The results of geostatistical analysis revealed that the low value of RSS and high value of R
2 were used to consider the best models as the literature suggested that the best-fit models for soil properties are exponential, circular, spherical, and Gaussian. The theoretical models for different soil properties and grain yield with the best-fit models were estimated as shown in
Figure 3 and
Figure 4, while the results are presented in
Table 3 and
Table 4. The variation in soil properties and yield might occur due to extrinsic and intrinsic sources. The intrinsic variation occurred naturally due to parent material but extrinsically occurred due to different management practices used within the field [
44,
45].
The geostatistical analysis showed that semivariogram models were exponential, spherical, and Gaussian models for Field 1, and for Field 2, exponential, spherical, linear, and Gaussian were found the best-fit models for their soil properties and yield. The properties of soil were inconsistent because the range of influence was greater than the distance of the grid interval. The results indicate that there were moderate to large variations within the field except pH, EC, and SOM for Field 1 (
Table 3), and EC, SOM, and M.C for Field 2 (
Table 4). The (N:S) ratio indicated the spatial dependency for the (0–15 cm) depth of soil samples, and that all parameters showed moderate spatial dependence (N:S > 25%) for Field 1 except P, as shown in
Table 3. Total N from the first sampling (November 2021) and N from the second sampling (February 2022) exhibited medium spatial dependence, and this variation could be controlled by applying the fertilizer via a variable-rate application. The second sampling showed a moderate spatial dependence within the field as indicated by N: S except for SOM, which indicated a high variability as the N:S ratio was less than 25% and the range of influence was 46.56 m, as indicated in
Table 3 for Field 1. The soil properties including EC, SOM, and K had less than 25% N:S, indicating high spatial dependence for Field 2 (
Table 4). Total N and M.C both were moderately variable, and pH and P showed a weak dependence indicated by the N: S ratio for Field 2 (
Table 4). The same pattern of variation in soil and yield was observed for the 30 cm and 7 cm depths. The yield showed moderate spatial dependence because N:S was greater than 25%, and the yield could be controlled by managing the spatial variation in soil properties.
The variation in soil properties occurred due to applications of fertilizer by the broadcast method. The distance (h) at which the semivariance reached its highest value (sill), which equated to the sample variance, was the semivariograms “range.” The high spatially dependent factors were controlled by intrinsic soil properties and the moderate and low spatial dependences were controlled by extrinsic soil properties. The yield represented high spatial dependency (N:S 29.09%), as depicted in
Table 3 for Field 1, and moderate spatial dependency (N:S 65.25%), as shown in
Table 4 for Field 2, of the selected area of the experimental site.
The soil variability was the major factor that affected the regional yield variation within the fields and the sampling technique and interpolated maps determined their spatial dependency. The sampling interval should be less than the range of the semivariogram [
46] but sampling intervals in this study were more than the semivariogram range. Field 2 showed a large variation and had a low yielding value as compared to Field 1, indicated by their CVs.
3.3. Correlation of Soil Properties and Grain Yield
The significant relation between the grain yield and soil properties of the selected fields is presented in
Table 5 and
Table 6. The soil properties were significantly correlated with yields except for the soil pH of both fields. The correlation results indicated a linear trend between EC with P, K, and N that indicates that the EC values were influenced by the soil properties. The EC negatively correlated with M.C (r = −0.54) for Field 1, whereas the relationship of EC with M.C was non-significantly correlated for Field 2. There was a positive correlation between EC and yield, which indicates that higher values of EC had high yielding areas and vice versa. Mann et al. [
47] investigated that the spatial variation in soil physiochemical properties affects the citrus yield and the finding of this research article agrees of this study.
The yield was significantly related to EC (r = 0.39 to 0.47), N (r = 0.68 to 0.78), P (r = 0.74 to 0.81), K (r = 0.58 to 0.68), Total N (r = 0.41 to 0.49), and M.C (r ~0.30–0.31) for both fields. The relationship indicated that the yield of crop depends on the abovementioned soil parameters. The pH had a non-significant relation with other soil properties for Field 2 and pH had a positive correlation with N in Field 1. However, the correlations of soil parameters revealed that N, P, and K could be used to evaluate the soil’s fertility status, perceive how they affect yield, and improve both productive and unproductive areas within the field. Based on the variations in soil parameters that could be quantified, identified anddelineated the prescription maps for variable-rate fertilizer application, which will improve farm profitability and lower environmental contamination. The correlation matrix results indicated that soil properties are one of the main components that limits the yield, while many other factors also affect the yield; for example, climate change and damage from disease and insects are two clear instances that are not discussed in this research. Crop yield can also be negatively impacted by weed competition and bare spots in wheat fields, seasonal variability, winter kill, and water scarcity.
The interpolated maps were generated using Kriging interpolation techniques in Arc GIS pro 2.3 software as the literature suggested that the Kriging interpolation is more accurate than inverse distance weighting (IDW) due to the nature of soil sampling variations within the field and its application for the generation of prescription maps [
48]. The interpolated maps showed a variation with significantly different values across the field. The N, P, and K maps for Field 1 (
Figure 5a–c) showed almost similar variation patterns with high values in the northwest region, lower values in the southern region, and medium values in the center of the field. The M.C, pH, EC, SOM, Total N, P, and K maps indicated the large spatial variability within Field 1 (
Figure 5). The semivariogram results of these soil properties showed the large spatial dependency on other soil properties (
Table 3). The matrix of correlation among these soil properties also explained the similar pattern of variations within the field (
Table 5). The EC and total N showed high values in the southeast region. The interpolated maps of pH revealed less variation as compared to the other soil properties. The low values of pH were observed in the western part of the field, higher values were observed in the southwest region, and medium values were observed in the center of the field. The pH map showed that most of the wheat crop had a pH ranging from 7.3 to 7.36 (
Figure 5d). A similar pattern of variation was observed for 30 cm and 7 cm depths. The statistics, geostatistical analysis, correlation matrix (
Figure 5,
Table 1 and
Table 3), and the interpolated maps of soil attributes and yield all demonstrated that there is spatial variability in the selected fields.
The soil properties and grain yield Krigged maps as shown in
Figure 6 suggested substantial variability within Field 2. The spatial patterns of variation showed higher values in the north-central and north regions and moderate values in the southeastern region of the field, except N, which showed a high value on the south side. The low values were in the center of the field and some were in the south region side. A map of the soil pH shown in
Figure 5d showed the substantial variability across the field, and grain yield showed its lower values on the north side. Most Field 2 sites had a pH ranging from 7.09 to 7.41.
The Krigged maps of the yield indicated substantial variation across the field (
Figure 5h and
Figure 6h). The low-yielding areas were on the north side, as shown in
Figure 5h, and high-yielding areas were on the south side of Field 1. The high-yielding areas were in the southeast, and medium-yielding areas were in the center of Field 2. The fields inspection revealed that the low yielding was due to weeds, grass, and shortage of M.C. According to CVs, the combined findings of traditional statistics suggested that there was a moderate to high degree of variation in soil characteristics and crop yield. Except for soil pH, the geostatistical analysis also showed moderate to high spatial dependence in soil characteristics and crop production, which varied significantly within the fields. The findings of the descriptive and geostatistical analyses were consistent with the maps of soil characteristics and grain yield, indicating significant variance within the field. The significant relationships between the variables M.C., EC, SOM, Total N, N, P, and K, and grain production agreed with the relationships illustrated on the maps.
3.4. Cluster Analysis and Delineation of MZs for Wheat Crop
The interpolated maps showed large variations in soil properties and crop yield in the selected fields of wheat that requires site-specific nutrient management. The cluster analysis (
Figure 7) was used to develop MZs (
Figure 8) that reflect areas of very good, good, medium, low, and very low productivity. The results of clustered analysis grouped the soil properties and yield into the same class on the basis of similarity level. The dendrograms were created by performing observation cluster analysis on the field’s natural productive potentials. The soil properties and crop yield data were categorized into five classes based on their degree of similarity (
Figure 6). Crop yield data were used to determine productivity levels for management zones, which included very good yield (>990 kg ha
−1), good yield (983 to 990 kg ha
−1), medium yield (971 to 982 kg ha
−1), low yield (951 to 970 kg ha
−1), and very low yield (<970 kg ha
−1). Crop yield had substantial relationships with soil parameters, which was supported by these developed zones. Most of the wheat crop yield fell in each productivity potential evenly, according to the grouping of the developed management zones (
Figure 7), with a few data points falling in medium-productivity zones indicating average yielding areas.
The clustered observations in each group had internal homogeneity and external heterogeneity at a similarity level of more than 60%. The analysis was used to describe the difference between the developed MZs, which defined the status of soil properties in the selected fields. Soil properties and yield were higher in the very good zone, moderate levels in the medium zones, and low in the poor zones.
The wheat production might be low due to the insufficient application of fertilizer. The grasses and weeds in low-lying locations may worsen the water quality and also encouraged the weed development. These weeds limit the nutrients availability to the wheat crop, which will ultimately diminish output and raise production costs [
49]. The yield, soil properties, and topographic features data were used to delineate MZs, and these developed MZs depend on spatial information that is stable or predictable over time and is related to crop yield [
50].
The cluster analysis results were imported into ArcGIS software for the delineation of MZs (
Figure 7). The means comparison in prescribed zones (
Figure 8) for both fields of wheat based on soil properties and crop yield revealed that the highest yield and nutrient value was in the good zone and the lowest levels were in the low-productivity zones (
Table 7 and
Table 8). The rate of application will be modified as per developed management zones, and in this way, an excess amount of fertilizer will be saved. The cluster analysis, mean comparison, and interpolated maps of soil and yield revealed that there is a need of development of these prescription maps. These findings also suggested that these developed MZs could be used for the variable rate of fertilizer application.
The statistical and geostatistical results revealed the existence of variability in the selected fields and, with the help of interpolated maps, the pattern was identified. A moderate to high variation was shown with the help of all statistical results. The ANOVA and mean comparison were used to develop the zones. The MZs could be used to implement site-specific nutrient management with the help of a variable spreader, thus helping improve crop yield, reduce the cost of farms, and save the environment.