2. A Representative Overview of Modern and Conventional Approaches for Fertilization in Precision Agriculture
To provide a more insightful overview of the efficiency of conventional and modern approaches to precision fertilization beyond the scientific review, a case study for a common agricultural parcel in Croatia was performed. Phosphorous pentoxide (P
2O
5) and potassium oxide (K
2O) were used for the prediction, representing two of the most important soil properties in agricultural fertilization [
96]. A total of 121 samples were used in the agricultural parcel of 4.1 km
2, representing a micro-location such as in [
29,
44]. The descriptive statistics of the input soil sample set is presented in
Table 1. All predicted results were calculated in a spatial resolution of 30 m, according to the specifications of Hengl [
35]. Soil prediction accuracy was assessed using R
2 and RMSE, as the most commonly applied interpolation metrics in similar previous studies. The cross-validation using the leave-one-out technique was used for the accuracy assessment.
Table 1. The descriptive statistics of the representative soil sample set used for the comparison of conventional and modern approaches to precision fertilization.
Soil Property |
Average (mg 100 g–1) |
Value Range (mg 100 g–1) |
CV |
SK |
KT |
Shapiro–Wilk Test |
Moran’s I |
| W |
p |
phosphorous pentoxide (P2O5) |
23.2 |
8.9–41.0 |
0.364 |
0.587 |
–0.592 |
0.941 |
0.0005 |
0.209 |
potassium oxide (K2O) |
26.1 |
17.2–50.5 |
0.253 |
1.517 |
3.092 |
0.877 |
< 0.0001 |
0.124 |
OK, as the most commonly applied geostatistical interpolation method, along with IDW, its deterministic counterpart, were used for the representation of the conventional prediction methods in fertilization. As the range of the OK interpolation is conditioned by spatial autocorrelation of the input values, some of the most commonly used mathematical models in previous studies were evaluated, as the primary parameter of the OK interpolation. Analogously, the most common power parameters of the IDW were evaluated. Due to the lack of data normality, a logarithmic transformation was performed in the preprocessing to OK interpolation.
Comparative displays of interpolation results produced by conventional interpolation methods for P
2O
5 and K
2O on the representative soil sample set are shown in
Figure 4 and
Figure 5. The interpolation results for both soil properties indicated a strong dependence of the prediction accuracy on the input parameters, indicating the importance of evaluating multiple methods, as well as their parameters, as noted in [
47]. The R
2 of the OK ranged from 0.331 to 0.414 for the P
2O
5 and from 0.082 to 0.120 for the K
2O, indicating a proportionally lower accuracy for the input values with lower spatial autocorrelation, which is one of the main constraints of its prediction accuracy [
97]. Due to its deterministic nature, IDW was resistant to this property, with its interpolation accuracy ranging from 0.233 to 0.405 for the P
2O
5 and from 0.234 to 0.374 for the K
2O. It generally produced a lower accuracy but with a more balanced approach regarding sensitivity to the input values, as noted in [
29]. Besides varying the interpolation accuracy, the resulting value ranges and CV values were severely affected by the selection of the interpolation method and its parameters.
Figure 4. Comparative presentation of interpolation results using common parameters of OK and IDW for P2O5.
Figure 5. Comparative presentation of interpolation results using common parameters of OK and IDW for K2O.
A total of twelve relevant covariates for the P
2O
5 and K
2O prediction used as the basis of the modern prediction approach are presented in
Table 2. These were defined with accordance to the specifications of soil mapping by Hengl and MacMillan [
98] and which were used in similar soil prediction studies recently [
66,
73,
82]. Six covariates were derived from a digital elevation model and six from Landsat 8 images, fully based on freely and widely available data. These covariates for the area covering the representative soil sample set are visually represented in
Figure 1. Four of the most commonly applied machine learning methods in previous studies indexed in the WoSCC were used: random forest (RF), support vector machine (SVM), artificial neural networks (ANN) and decision tree (DT). These methods gained popularity in the modern approach to fertilization recently, allowing the integration of big data, that is highly accurate and with a computationally efficient prediction [
53].
Table 2. Covariates used for the modern prediction using the representative soil sample set for precision fertilization.
| Data Source |
Environmental Segment |
Covariate |
Reference |
digital elevation model (EU-DEM v1.1) |
morphometry |
slope |
[99] |
| aspect |
| total curvature |
| convergence index |
| hydrology |
flow accumulation |
[100] |
| topographic wetness index |
[101] |
multispectral satellite images (Landsat 8, sensed on 15th September 2021) |
vegetation |
normalized difference vegetation index (NDVI) |
[102] |
| enhanced vegetation index (EVI) |
[103] |
| normalized green-red vegetation index (NGRDI) |
[104] |
| soil |
normalized difference soil index (NDSI) |
[105] |
| brightness index (BI) |
[106] |
| moisture |
normalized difference moisture index (NDMI) |
[107] |
A comparative display of the modern soil prediction approach for fertilization in precision agriculture, along with the most accurate results of the conventional approach are displayed in
Figure 6. Besides an improved prediction accuracy and resistance to the particular properties of input sample values, the modern approach included more soil heterogeneity in the result with higher CV values. Previous studies have also noted a superior prediction accuracy of the modern approach compared to conventional methods, especially in the cases of lower spatial autocorrelation indicated by high nugget values [
38]. Besides the spectral indices and topographic indicators, which are applicable at both minor- and major-scales [
82], climate data and auxiliary soil information are commonly included in the modern approach [
73]. These values are generally more suitable for the macro-location studies due to their local homogeneity, as well as the lack of available spatial data at the higher spatial resolution to match those of satellite images and DEMs [
2]. Despite the same spatial resolution of the P
2O
5 and K
2O rasters produced by the conventional and modern approaches, modern machine learning methods have resulted in much less smooth areas, retaining specific local information about field conditions, which are a backbone for precision agriculture [
7]. Chen et al. [
37] noted the improved spatial resolution as one of the key advantages of the modern approach over the conventional interpolation methods, alongside improved prediction accuracy and time- and cost-efficiency.
Figure 6. A comparative display of the modern soil prediction with the most accurate results of the conventional approach on a representative soil sample set.