Use of Modern Statistical Methods in Soil Science

A special issue of Soil Systems (ISSN 2571-8789).

Deadline for manuscript submissions: 31 July 2026 | Viewed by 8079

Special Issue Editor


E-Mail Website
Guest Editor
Faculty of Environmental Engineering, Warsaw University of Technology, Nowowiejska Str., 20, 00-653 Warsaw, Poland
Interests: environmental sciences; magnetism and magnetic materials; geophysics and geochemistry; soil sciences; remote sensing; geostatistics; statistics and probability
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The main objective of this Special Issue is to publish outstanding, modern papers presenting cutting-edge applications of statistical methods in soil studies. Soils contribute to the hydrological cycle and the cycles of carbon, nitrogen, sulfur, phosphorus, and other elements. They influence the climate and are vital for biological ecosystems and agriculture. However, they are also frequently contaminated by human activities. The processes within soils are dynamic and occur on various scales. Due to the exceptional variability and complexity of the soil environment, its description requires advanced statistical methods. Another reason for the continuously growing interest in using statistical methods in soil research is the rapid development of field, laboratory, and remote measurement methods of various soil parameters, ranging from microscale measurements to satellite observations. Such measurements require analysis using modern and advanced statistical methods. Simultaneously, thanks to the enormous progress in statistical software, employing statistical methods in soil research has become widespread. This allows for deepening and expanding research and for new results to be obtained. At the end of the International Decade of Soils (2015–2024), this Special Issue of Soil Systems aims to bring together current, prominent research and ideas about using modern statistical methods in soil research.

Prof. Dr. Jarosław Zawadzki
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Soil Systems is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • soils
  • statistical methods
  • soil measurements
  • soil properties
  • soil data integration
  • soil complexity
  • soil variability

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (8 papers)

Order results
Result details
Select all
Export citation of selected articles as:

Research

Jump to: Other

25 pages, 8308 KB  
Article
Long-Term Assessment of Soil Carbon Dynamics in Post-Fire Conditions: Evidence from Digital Soil Mapping Approaches
by Yacine Benhalima, Erika S. Santos and Diego Arán
Soil Syst. 2026, 10(1), 17; https://doi.org/10.3390/soilsystems10010017 - 20 Jan 2026
Viewed by 196
Abstract
This study examined long-term changes in soil carbon stock dynamics 11 and 19 years after fire under different severities at 0–5 and 0–25 cm depths with a digital soil mapping approach. Linear (MLR) and non-linear models (RF, SVR, XGBoost) combined with feature selection [...] Read more.
This study examined long-term changes in soil carbon stock dynamics 11 and 19 years after fire under different severities at 0–5 and 0–25 cm depths with a digital soil mapping approach. Linear (MLR) and non-linear models (RF, SVR, XGBoost) combined with feature selection methods (r < 0.8, FFS, Boruta) were used to predict bulk density (BD), total C, and C stock. Distributional biases were evaluated with Kolmogorov–Smirnov statistics and corrected by Quantile Mapping (QM). RF-FFS performed best for BD and total C at 0–5, while RF-SVR outperformed for C stock and all properties at 0–25. Total C was 49% higher at 0–5, whereas C stock was 7.57 times greater at 0–25. Both models underestimated variability, especially for C stock. At 0–25, bulk density decreased after fire, particularly under conditions of medium severity, while total C increased following the same tendency. The results showed that fire’s legacy is still present in the ecosystem after one and two decades. This is particularly evident at greater depths, where long-term C stock is lower. Full article
(This article belongs to the Special Issue Use of Modern Statistical Methods in Soil Science)
Show Figures

Figure 1

22 pages, 3921 KB  
Article
Non-Invasive Soil Texture Prediction Using Machine Learning and Multi-Source Environmental Data
by Mohamed Rajhi, Tamas Deak and Endre Dobos
Soil Syst. 2026, 10(1), 8; https://doi.org/10.3390/soilsystems10010008 - 31 Dec 2025
Viewed by 265
Abstract
Accurate prediction of soil texture is essential for effective soil management, precision agriculture, and hydrological modeling. This study proposes a novel, data-driven approach for estimating soil texture without the need for laboratory-based analysis. High-frequency in situ soil moisture measurements from EnviroSCAN (Sentek Technologies, [...] Read more.
Accurate prediction of soil texture is essential for effective soil management, precision agriculture, and hydrological modeling. This study proposes a novel, data-driven approach for estimating soil texture without the need for laboratory-based analysis. High-frequency in situ soil moisture measurements from EnviroSCAN (Sentek Technologies, Stepney, Australia) sensors and satellite-derived vegetation indices (NDVI) from Sentinel-2 were collected across 25 sites in Hungary. Temporal soil moisture dynamics were encoded using a Long Short-Term Memory (LSTM) neural network, designed to capture soil-specific hydrological response behavior from time-series data. The resulting latent embeddings were subsequently used within an ordinal regression framework to predict ordered soil texture classes, explicitly enforcing physical consistency between classes. Model performance was evaluated using leave-one-soil-out cross-validation, achieving an overall classification accuracy of 0.54 and a mean absolute error (MAE) of 0.50, indicating predominantly adjacent-class errors. The proposed approach demonstrates that soil texture can be inferred from dynamic environmental responses alone, offering a transferable alternative to fraction-based regression models and supporting scalable sensor calibration and digital soil mapping in data-scarce regions. Full article
(This article belongs to the Special Issue Use of Modern Statistical Methods in Soil Science)
Show Figures

Figure 1

70 pages, 16474 KB  
Article
Assessment of the Accuracy of ISRIC and ESDAC Soil Texture Data Compared to the Soil Map of Greece: A Statistical and Spatial Approach to Identify Sources of Differences
by Stylianos Gerontidis, Konstantinos X. Soulis, Alexandros Stavropoulos, Evangelos Nikitakis, Dionissios P. Kalivas, Orestis Kairis, Dimitrios Kopanelis, Xenofon K. Soulis and Stergia Palli-Gravani
Soil Syst. 2025, 9(4), 133; https://doi.org/10.3390/soilsystems9040133 - 25 Nov 2025
Viewed by 1389
Abstract
Soil maps are essential for managing Earth’s resources, but the accuracy of widely used global and pan-European digital soil maps in heterogeneous landscapes remains a critical concern. This study provides a comprehensive evaluation of two prominent datasets, ISRIC-SoilGrids and the European Soil Data [...] Read more.
Soil maps are essential for managing Earth’s resources, but the accuracy of widely used global and pan-European digital soil maps in heterogeneous landscapes remains a critical concern. This study provides a comprehensive evaluation of two prominent datasets, ISRIC-SoilGrids and the European Soil Data Centre (ESDAC), by comparing their soil texture predictions against the detailed Greek National Soil Map, which is based on over 10,000 field samples. The results from statistical and spatial analyses reveal significant discrepancies and weak correlations, with a very low overall accuracy for soil texture class prediction (19–21%) and high Root Mean Square Error (RMSE) values ranging from 13% to 19%. The global models failed to capture local variability, showing very low explanatory power (R2 < 0.2) and systematically underrepresenting soils with extreme textures. Furthermore, these prediction errors are not entirely random but are significantly clustered in hot spots linked to distinct parent materials and geomorphological features. Our findings demonstrate that while invaluable for large-scale assessments, the direct application of global soil databases for regional policy or precision agriculture in a geologically complex country like Greece is subject to considerable uncertainty, highlighting the critical need for local calibration and the integration of national datasets to improve the reliability of soil information. Full article
(This article belongs to the Special Issue Use of Modern Statistical Methods in Soil Science)
Show Figures

Figure 1

24 pages, 3279 KB  
Article
A Framework Based on Isoparameters for Clustering and Mapping Geophysical Data in Pedogeomorphological Studies
by Gustavo Vieira Veloso, Danilo César de Mello, Heitor Paiva Palma, Murilo Ferre Mello, Lucas Vieira Silva, Elpídio Inácio Fernandes-Filho, Márcio Rocha Francelino, Tiago Osório Ferreira, José Cola Zanuncio, Davi Feital Gjorup, Roney Berti de Oliveira, Marcos Rafael Nanni, Renan Falcioni and José A. M. Demattê
Soil Syst. 2025, 9(4), 124; https://doi.org/10.3390/soilsystems9040124 - 8 Nov 2025
Viewed by 760
Abstract
Understanding soil variability supports improved land use and soil security. This study aimed to generate uniform geophysical classes by integrating data from three proximal geophysical sensors with synthetic soil and satellite images using machine learning, proposing a soil survey protocol. Geophysical data—natural gamma-ray [...] Read more.
Understanding soil variability supports improved land use and soil security. This study aimed to generate uniform geophysical classes by integrating data from three proximal geophysical sensors with synthetic soil and satellite images using machine learning, proposing a soil survey protocol. Geophysical data—natural gamma-ray emissions (eU, eTh, K40), magnetic susceptibility (κ), and apparent electrical conductivity (ECa)—were collected in Piracicaba, Brazil, and clustered into homogeneous geophysical-isoparameter classes. These classes were modeled alongside Synthetic Soil Images (SYSIs), Sentinel-2 (0.45–2.29 μm), Landsat (0.43–12.51 μm) imagery, and morphometric variables. Empirical validation compared the resulting geophysical-isoparameter map with conventional pedological and lithological maps. The Support Vector Machine (SVM) algorithm exhibited the best classification performance. Results demonstrated that geophysical sensors quantitatively and qualitatively capture soil attributes linked to formation processes and types. The geophysical-isoparameter map correlated well with pedological and lithological patterns. The proposed protocol offers soil scientists a practical tool to delineate soil and lithological units using combined sensor data. Promoting collaboration among pedologists, pedometric mappers, and remote sensing experts, this approach presents a novel framework to enhance soil survey accuracy and efficiency. Full article
(This article belongs to the Special Issue Use of Modern Statistical Methods in Soil Science)
Show Figures

Figure 1

11 pages, 1167 KB  
Article
Towards the Application of Complex-Valued Variograms in Soil Research
by Jarosław Zawadzki
Soil Syst. 2025, 9(4), 122; https://doi.org/10.3390/soilsystems9040122 - 7 Nov 2025
Viewed by 485
Abstract
Variograms are a cornerstone of spatial analysis in geostatistics, traditionally applied to real-valued variables under the intrinsic hypothesis. Many soil properties, particularly when integrating magnetic and geochemical measurements, can be expressed as complex-valued variables that capture both magnitude and phase information. In the [...] Read more.
Variograms are a cornerstone of spatial analysis in geostatistics, traditionally applied to real-valued variables under the intrinsic hypothesis. Many soil properties, particularly when integrating magnetic and geochemical measurements, can be expressed as complex-valued variables that capture both magnitude and phase information. In the case of magnetic susceptibility, the imaginary component reflects energy losses associated with viscous magnetization, which in soils can indicate the presence of pedogenic ferrimagnetic minerals, while its relative increase may also reveal anthropogenic magnetite contamination. This study examines the formulation and application of variograms for such complex-valued variables in the context of soil research. Two complementary definitions are considered: an intrinsic-based approach, which directly estimates the variogram from increments and is applicable under the intrinsic hypothesis, and a covariance-based approach, which requires stronger second-order stationarity. Simulated complex-valued soil property data with controlled spatial structures were used to compare the behaviour of these formulations with their real-valued counterparts. The findings indicate that complex-valued variograms preserve additional spatial information, particularly related to local phase shifts, while maintaining compatibility with conventional variographic modelling. Full article
(This article belongs to the Special Issue Use of Modern Statistical Methods in Soil Science)
Show Figures

Figure 1

22 pages, 2913 KB  
Article
Spatial Variability and Temporal Changes of Soil Properties Assessed by Machine Learning in Córdoba, Argentina
by Mariano A. Córdoba, Susana B. Hang, Catalina Bozzer, Carolina Alvarez, Lautaro Faule, Esteban Kowaljow, María V. Vaieretti, Marcos D. Bongiovanni and Mónica G. Balzarini
Soil Syst. 2025, 9(4), 109; https://doi.org/10.3390/soilsystems9040109 - 10 Oct 2025
Viewed by 1072
Abstract
Understanding the temporal dynamics and spatial distribution of key soil properties is essential for sustainable land management and informed decision-making. This study assessed the spatial variability and decadal changes (2013–2023) of topsoil properties in Córdoba, central Argentina, using digital soil mapping (DSM) and [...] Read more.
Understanding the temporal dynamics and spatial distribution of key soil properties is essential for sustainable land management and informed decision-making. This study assessed the spatial variability and decadal changes (2013–2023) of topsoil properties in Córdoba, central Argentina, using digital soil mapping (DSM) and machine learning (ML) algorithms. Three ML methods—Quantile Regression Forest (QRF), Cubist, and Support Vector Machine (SVM)—were compared to predict soil organic matter (SOM), extractable phosphorus (P), and pH at 0–20 cm depth, based on environmental covariates related to site climate, vegetation, and topography. QRF consistently outperformed the other models in prediction accuracy and uncertainty, confirming its suitability for DSM in heterogeneous landscapes. Prediction uncertainty was higher in marginal mountainous areas than in intensively managed plains. Over ten years, SOM, P, and pH exhibited changes across land-use classes (cropland, pasture, and forest). Extractable P declined by 15–35%, with the sharpest reduction in croplands (−35.4%). SOM decreased in croplands (−6.7%) and pastures (−3.1%) but remained stable in forests. pH trends varied, with slight decreases in croplands and forests and a small increase in pastures. By integrating high-resolution mapping and temporal assessment, this study advances DSM applications and supports regional soil monitoring and sustainable land-use planning. Full article
(This article belongs to the Special Issue Use of Modern Statistical Methods in Soil Science)
Show Figures

Figure 1

14 pages, 2833 KB  
Article
Application of Self-Organizing Maps to Explore the Interactions of Microorganisms with Soil Properties in Fruit Crops Under Different Management and Pedo-Climatic Conditions
by Francesca Antonucci, Simona Violino, Loredana Canfora, Małgorzata Tartanus, Ewa M. Furmanczyk, Sara Turci, Maria G. Tommasini, Nika Cvelbar Weber, Jaka Razinger, Morgane Ourry, Samuel Bickel, Thomas A. J. Passey, Anne Bohr, Heinrich Maisel, Massimo Pugliese, Francesco Vitali, Stefano Mocali, Federico Pallottino, Simone Figorilli, Anne D. Jungblut, Hester J. van Schalkwyk, Corrado Costa and Eligio Malusàadd Show full author list remove Hide full author list
Soil Syst. 2025, 9(1), 10; https://doi.org/10.3390/soilsystems9010010 - 26 Jan 2025
Cited by 4 | Viewed by 2199 | Correction
Abstract
Background: Self-organizing maps (SOMs) are a class of neural network algorithms able to visually describe a high-dimensional dataset onto a two-dimensional grid. SOMs were explored to classify soils based on an array of physical, chemical, and biological parameters. Methods: The SOM analysis was [...] Read more.
Background: Self-organizing maps (SOMs) are a class of neural network algorithms able to visually describe a high-dimensional dataset onto a two-dimensional grid. SOMs were explored to classify soils based on an array of physical, chemical, and biological parameters. Methods: The SOM analysis was performed considering soil physical, chemical, and microbial data gathered from an array of apple orchards and strawberry plantations managed by organic or conventional methods and located in different European climatic zones. Results: The SOM analysis considering the “climatic zone” categorical variables was able to discriminate the samples from the three zones for both crops. The zones were associated with different soil textures and chemical characteristics, and for both crops, the Continental zone was associated with microbial parameters—including biodiversity indices derived from the NGS data analysis. However, the SOM analysis based on the “management method” categorical variables was not able to discriminate the soils between organic and integrated management. Conclusions: This study allowed for the discrimination of soils of medium- and long-term fruit crops based on their pedo-climatic characteristics and associating these characteristics to some indicators of the soil biome, pointing to the possibility of better understanding the interactions among diverse variables, which could support unraveling the intricate web of relationships that define soil quality. Full article
(This article belongs to the Special Issue Use of Modern Statistical Methods in Soil Science)
Show Figures

Figure 1

Other

Jump to: Research

2 pages, 160 KB  
Correction
Correction: Antonucci et al. Application of Self-Organizing Maps to Explore the Interactions of Microorganisms with Soil Properties in Fruit Crops Under Different Management and Pedo-Climatic Conditions. Soil Syst. 2025, 9, 10
by Francesca Antonucci, Simona Violino, Loredana Canfora, Małgorzata Tartanus, Ewa M. Furmanczyk, Sara Turci, Maria G. Tommasini, Nika Cvelbar Weber, Jaka Razinger, Morgane Ourry, Samuel Bickel, Thomas A. J. Passey, Anne Bohr, Heinrich Maisel, Massimo Pugliese, Francesco Vitali, Stefano Mocali, Federico Pallottino, Simone Figorilli, Anne D. Jungblut, Hester J. van Schalkwyk, Corrado Costa and Eligio Malusàadd Show full author list remove Hide full author list
Soil Syst. 2025, 9(3), 76; https://doi.org/10.3390/soilsystems9030076 - 14 Jul 2025
Viewed by 490
(This article belongs to the Special Issue Use of Modern Statistical Methods in Soil Science)
Back to TopTop