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19 pages, 1890 KiB  
Article
Study on Change of Landscape Pattern Characteristics of Comprehensive Land Improvement Based on Optimal Spatial Scale
by Baoping Feng, Hui Yang, Yarong Ren, Shanshan Zheng, Genxiang Feng and Yuwei Huang
Land 2025, 14(1), 135; https://doi.org/10.3390/land14010135 - 10 Jan 2025
Viewed by 318
Abstract
Comprehensive land improvement causes strong disturbances of land use patterns in the short term, resulting in changes in landscape structure and function. This study adopts the moving window method and semi-variation function to explore the spatial scale effect of landscape pattern metrics in [...] Read more.
Comprehensive land improvement causes strong disturbances of land use patterns in the short term, resulting in changes in landscape structure and function. This study adopts the moving window method and semi-variation function to explore the spatial scale effect of landscape pattern metrics in the comprehensive land consolidation project area of Baimahu Farm, and the spatial variability and homologous ecological processes. The results showed that: (1) patch density, largest patch index, area-weighted average shape index, contagion, and division index all showed obvious scale effects, and the suitable first and second scale domains in the study area are 5–7 m and 35–40 m, respectively, and 5 m is the most suitable grain size for the study of landscape pattern change. (2) The block basis ratio of the semi-variogram of the six landscape level indices begins to stabilize at the window radius of 210 m. This scale can reflect the spatial variability of the landscape pattern in the study area and is the most suitable analysis range. (3) The fragmentation degree of paddy fields as landscape matrix decreased and the landscape dominance degree increased in the comprehensive land improvement; the degree of fragmentation of irrigated land and agricultural land for facilities increased, the aggregation of land for construction increased, the dominance degree of the pond surface decreased, and the overall landscape diversity of each mosaic decreased; the landscape heterogeneity of ditches, rural roads, forest and grassland corridors was weakened, and the ecosystem service function was weakened. (4) The trend of increased fragmentation, simplification of landscape types, and decreased diversity presented by the landscape pattern clearly indicates that the landscape pattern of the study area has been seriously damaged to some extent under the influence of human activities. This damage not only has a direct negative impact on the local ecological environment, but also poses a potential threat to the sustainable development of the region. Full article
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<p>Land use before and after comprehensive land consolidation in the study area.</p>
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<p>Granularity size effect of landscape metrics before and after comprehensive land consolidation.</p>
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<p>Spatial heterogeneity characteristics of landscape metrics.</p>
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<p>Spatial characteristics of landscape-level metrics.</p>
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<p>Ecological security pattern of territorial space integrated consolidation.</p>
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18 pages, 2354 KiB  
Article
Spatial Analysis of Picea schrenkiana var. tianschanica: Biomass in the Tianshan Mountains, Xinjiang
by Chaoyong Cai, Wei Sun, Tao Bai, Quansheng Li and Shanshan Cao
Forests 2025, 16(1), 3; https://doi.org/10.3390/f16010003 - 24 Dec 2024
Viewed by 473
Abstract
From a global ecological management perspective, as a core tree species in the mountain ecosystem of Xinjiang, the study of the spatial distribution characteristics of Picea schrenkiana var. tianschanica is crucial for maintaining the ecological balance in the Tianshan region. This study focuses [...] Read more.
From a global ecological management perspective, as a core tree species in the mountain ecosystem of Xinjiang, the study of the spatial distribution characteristics of Picea schrenkiana var. tianschanica is crucial for maintaining the ecological balance in the Tianshan region. This study focuses on the western section of the Tianshan mountains in Xinjiang and employs the variogram analysis technique to explore the spatial heterogeneity of Picea schrenkiana var. tianschanica biomass. Successively, the study implements ordinary kriging, multivariate linear regression, the random forest algorithm, and an innovative random forest residual kriging method to conduct a spatial interpolation analysis of Picea schrenkiana var. tianschanica biomass in the target area. The results indicate that the biomass of Picea schrenkiana var. tianschanica exhibits moderate spatial autocorrelation, with its distribution pattern being influenced by a combination of topography, climate, and soil conditions. After comparing multiple spatial interpolation methods, it is found that the hybrid model combining regression analysis and kriging, delivers the best performance (R2 = 0.642, RMSE = 40.18, RMSPE = 44.6). This model not only significantly improves the prediction accuracy, but also provides an intuitive and accurate spatial distribution map of Picea schrenkiana var. tianschanica biomass in the western section of the Tianshan mountains which reveals the global ecological importance of Picea schrenkiana var. tianschanica in an intuitive and accurate way, providing valuable scientific evidence and practical guidance for the field of international ecological protection and resource management. Full article
(This article belongs to the Section Forest Inventory, Modeling and Remote Sensing)
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<p>Sampling point location map of the western section of Tianshan Mountain in Xinjiang.</p>
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<p>Regression relationship between the predicted and measured values of different models: (<b>a</b>) ordinary kriging; (<b>b</b>) random forest;(<b>c</b>) multiple linear regression; (<b>d</b>) random forest residual kriging.</p>
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<p>Biomass distribution of <span class="html-italic">Picea schrenkiana var. tianschanica</span> growth clusters.</p>
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17 pages, 1782 KiB  
Article
Subsurface Geological Profile Interpolation Using a Fractional Kriging Method Enhanced by Random Forest Regression
by Qile Ding, Yiren Wang, Yu Zheng, Fengyang Wang, Shudong Zhou, Donghui Pan, Yuchun Xiong and Yi Zhang
Fractal Fract. 2024, 8(12), 717; https://doi.org/10.3390/fractalfract8120717 - 5 Dec 2024
Viewed by 681
Abstract
Analyzing geological profiles is of great importance for various applications such as natural resource management, environmental assessment, and mining engineering projects. This study presents a novel geostatistical approach for subsurface geological profile interpolation using a fractional kriging method enhanced by random forest regression. [...] Read more.
Analyzing geological profiles is of great importance for various applications such as natural resource management, environmental assessment, and mining engineering projects. This study presents a novel geostatistical approach for subsurface geological profile interpolation using a fractional kriging method enhanced by random forest regression. Using bedrock elevation data from 49 boreholes in a study area in southeast China, we first use random forest regression to predict and optimize variogram parameters. We then use the fractional kriging method to interpolate the data and analyze the variability. We also compare the proposed model with traditional methods, including linear regression, K-nearest neighbors, ordinary kriging, and fractional kriging, using cross-validation metrics. The results indicate that the proposed model reduces prediction errors and enhances spatial prediction reliability compared to other models. The MSE of the proposed model is 25% lower than that of ordinary kriging and 10% lower than that of fractional kriging. In addition, the execution time of the proposed model is slightly higher than other models. The findings suggest that the proposed model effectively captures complex subsurface spatial relationships, offering a reliable and precise solution for performing spatial interpolation tasks. Full article
(This article belongs to the Section Engineering)
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<p>Typical semivariogram functions in kriging.</p>
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<p>The spatial structure and associated semi-variogram model of kriging interpolation.</p>
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<p>The geological distribution of the boreholes.</p>
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<p>(<b>a</b>) The linear regression trend surface; (<b>b</b>) the color map of the residual of the bedrock elevation.</p>
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<p>The semi-variance versus <math display="inline"><semantics> <mrow> <mi>γ</mi> <mo>(</mo> <mi>h</mi> <mo>)</mo> </mrow> </semantics></math> lag distance <span class="html-italic">h</span> fitted by the random forest model and the fitted variogram model.</p>
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<p>The variogram residual of (<b>a</b>) random forest model and (<b>b</b>) fitted variogram model.</p>
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<p>The interpolation results using fractional kriging with a random forest optimized variogram.</p>
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<p>(<b>a</b>) The spatial distribution of residual at each borehole points; (<b>b</b>) the frequency distribution of residual.</p>
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<p>Variation of the cross-validation MSE to the fold number of the proposed model.</p>
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<p>Comparison of different models for semi-variogram prediction.</p>
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<p>The interpolation results of the (<b>a</b>) fractional kriging, (<b>b</b>) ordinary kriging, (<b>c</b>) linear regression, and (<b>d</b>) k-nearest neighbors.</p>
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<p>Comparison of the prediction accuracy of the 5 models.</p>
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<p>Comparison of execution times for different methods.</p>
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14 pages, 2545 KiB  
Article
Spatial Variations of Physical Characteristics of Soil and Their Role in Creating a Model of a Geogenic Radon Hazard Index (GRHI) in the Kuznetsk Coal Basin
by Timofey Leshukov, Konstantin Legoshchin, Maria Savkina, Elizaveta Baranova, Kirill Avdeev and Aleksey Larionov
GeoHazards 2024, 5(4), 1294-1307; https://doi.org/10.3390/geohazards5040061 - 3 Dec 2024
Cited by 1 | Viewed by 691
Abstract
Geographic patterns determine geogenic radon factors that, changing over the territory, form spatial structures of different scales associated with regional and local variations. The study of these structures is important for assessing the possibility of using limited data to predict geogenic radon potential. [...] Read more.
Geographic patterns determine geogenic radon factors that, changing over the territory, form spatial structures of different scales associated with regional and local variations. The study of these structures is important for assessing the possibility of using limited data to predict geogenic radon potential. Our research focuses on the study of the physical properties of soils (moisture, soil density, porosity and void ratio) in the Kuznetsk coal basin. Their variations are studied using statistical methods, a variogram cloud and spatial autocorrelation of data. Soil moisture and porosity have the greatest variability in space and with depth. We conclude that the assessment of geogenic radon predictors requires consideration of the variation coefficient and autocorrelation indices at different scales. Based on the variability of humidity and the fairly homogeneous nature of the studied soils (loams), to assess the radon hazard, it is necessary to study the influence of climatic conditions, since the permeability of the environment for radon will be determined by soil moisture. With the predominance of substantially clayey soils, it is necessary to study the content of 226Ra in the upper horizons, since it is assumed that radon is predominantly diffusely transferred, in which its role is dominant. Full article
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<p>Map of the locations of sites for studying the physical properties of soils in the Kuzbass coal basin.</p>
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<p>Variograms of physical properties of soils at the regional level. (<b>A</b>) density, (<b>B</b>) moisture, (<b>C</b>) porosity coefficient and (<b>D</b>) soil porosity.</p>
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26 pages, 14774 KiB  
Article
Assessing the Global Sensitivity of RUSLE Factors: A Case Study of Southern Bahia, Brazil
by Mathurin François, Camila A. Gordon, Ulisses Costa de Oliveira, Alain N. Rousseau and Eduardo Mariano-Neto
Soil Syst. 2024, 8(4), 125; https://doi.org/10.3390/soilsystems8040125 - 2 Dec 2024
Viewed by 1161
Abstract
Global sensitivity analysis (GSA) of the revised universal soil loss equation (RUSLE) factors is in its infancy but is crucial to rank the importance of each factor in terms of its non-linear impact on the soil erosion rate. Hence, the goal of this [...] Read more.
Global sensitivity analysis (GSA) of the revised universal soil loss equation (RUSLE) factors is in its infancy but is crucial to rank the importance of each factor in terms of its non-linear impact on the soil erosion rate. Hence, the goal of this study was to perform a GSA of each factor of RUSLE for a soil erosion assessment in southern Bahia, Brazil. To meet this goal, three non-linear topographic factor (LS factor) equations alternately implemented in RUSLE, coupled with geographic information system (GIS) software and a variogram analysis of the response surfaces (VARSs), were used. The results showed that the average soil erosion rate in the Pardo River basin was 25.02 t/ha/yr. In addition, the GSA analysis showed that the slope angle which is associated with the LS factor was the most sensitive parameter, followed by the cover management factor (C factor) and the support practices factor (P factor) (CP factors), the specific catchment area (SCA), the sheet erosion (m), the erodibility factor (K factor), the rill (n), and the erosivity factor (R factor). The novelty of this work is that the values of parameters m and n of the LS factor can substantially affect this factor and, thus, the soil loss estimation. Full article
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<p>(<b>a</b>) Location of the 30.07 km<sup>2</sup> Pardo River watershed in the municipality of Canavieiras and (<b>b</b>) map of meteorological stations.</p>
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<p>Example of calculation of the <span class="html-italic">LS</span> factor for each pixel.</p>
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<p>Method 1—calculation of the soil loss for each pixel.</p>
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<p>Method 2—calculation of 4600 soil loss maps.</p>
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<p>Average of 4600 possibilities of the pixels.</p>
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<p>Erosivity map of the Pardo River watershed.</p>
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<p>(<b>a</b>) Soil types and (<b>b</b>) <span class="html-italic">K</span> factor map.</p>
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<p>(<b>a</b>) Soil types and (<b>b</b>) <span class="html-italic">K</span> factor map.</p>
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<p>(<b>a</b>,<b>c</b>,<b>d</b>) <span class="html-italic">LS</span> factor maps and (<b>b</b>) slope angle (<span class="html-italic">β</span> or b) for the Pardo River watershed.</p>
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<p>(<b>a</b>) LULC map and (<b>b</b>) <span class="html-italic">CP</span> factor map.</p>
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<p>Soil erosion maps calculated using <span class="html-italic">LS</span> equations: (<b>a</b>) Equation (4a), (<b>b</b>) Equation (4b), and (<b>c</b>) Equation (5).</p>
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<p>Dendrogram of factors generated by VARS.</p>
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<p>Visualization of directional variograms. This figure illustrates sensitivity using a series of scale perturbations and bar charts, highlighting the significance of the factors based on derivative, variance, and covariogram approaches.</p>
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<p>Comparison of <span class="html-italic">LS</span> factors of the Equations (4a), (4b) and (5) based on VARS sampling. The data sample includes <span class="html-italic">Po</span> = 127,875,400.</p>
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<p>Method 1—potential soil erosion calculation results for all 4600 <span class="html-italic">LS</span> maps using Equation (4a) (Po = 127,875,400).</p>
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<p>Method 2—map of average values per pixel of the soil erosion.</p>
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<p>Soil loss rate: boxplot using method 2—box plot of average values of soil erosion (<span class="html-italic">Â</span>).</p>
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<p>Comparison of two calculation methods of soil erosion—(A) Method 1 and (B) Method 2.</p>
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<p>Comparison of results for the three <span class="html-italic">LS</span> equations. Each boxplot consists of 127,875,400 values.</p>
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13 pages, 3622 KiB  
Article
RF Exposure Assessment by Drone-Based Technology
by Jesús M. Paniagua-Sánchez, Christopher Marabel-Calderón, Francisco J. García-Cobos, Antonio Gordillo-Guerrero, Montaña Rufo-Pérez and Antonio Jiménez-Barco
Appl. Sci. 2024, 14(22), 10203; https://doi.org/10.3390/app142210203 - 7 Nov 2024
Viewed by 599
Abstract
There is growing international interest in assessing population exposure to radiofrequency electromagnetic fields, especially those generated by mobile-phone base stations. The work presented here is an experimental study in which we assess exposure to radiofrequency electromagnetic fields in a university environment, where there [...] Read more.
There is growing international interest in assessing population exposure to radiofrequency electromagnetic fields, especially those generated by mobile-phone base stations. The work presented here is an experimental study in which we assess exposure to radiofrequency electromagnetic fields in a university environment, where there is a site with mobile-phone antennas and where a large number of people live on a daily basis. The data were collected with a personal exposure meter in two samplings, one walking at ground level and the other using an aerial vehicle at a height higher than the buildings. The geo-referenced electric-field data were subjected to a process in which a theoretical model was adjusted to the experimental variograms, and heat maps were obtained using kriging interpolation. The research carried out is of great relevance, since it provides detailed measurements of the electromagnetic radiation levels both at ground level and at significant heights, using innovative methodologies such as the use of drones. Furthermore, the results obtained allow for contextualizing the exposures in relation to international safety limits, highlighting the importance of rigorous monitoring in everyday environments. Full article
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<p>Google Earth image of the Polytechnic School of the University of Extremadura in Cáceres, Spain. The location of the mobile base station antennas and the orientation of their sectors are indicated.</p>
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<p>EME SPY 200 exposimeter mounted on the DJI S1000 drone.</p>
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<p>Data collection points during walking sampling (<b>a</b>) and drone sampling (<b>b</b>).</p>
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<p>Theoretical spherical variogram.</p>
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<p>Frequency distribution of the electric-field levels detected in the GSM + UMTS 900 DL band in the sampling carried out at a height of 20 m.</p>
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<p>Theoretical nugget + spherical variogram (solid line) fitted to the experimental variogram (dots) for the GSM + UMTS 900 DL band (20 m height). The dashed line represents the sample variance.</p>
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<p>Heat maps of electric-field intensities at ground level in the mobile-phone bands: (<b>a</b>) LTE 800 DL, (<b>b</b>) GSM + UMTS 900 DL, (<b>c</b>) GSM 1800 DL and (<b>d</b>) UMTS 2100 DL. The figures were obtained by merging the heat maps with aerial images of the area using Google Earth. The location of the site with sectorial mobile-phone antennas is shown in red along with the orientation of its sectors.</p>
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<p>Heat maps of electric-field intensities at 20 m height in the mobile-phone bands: (<b>a</b>) LTE 800 DL, (<b>b</b>) GSM + UMTS 900 DL, (<b>c</b>) GSM 1800 DL and (<b>d</b>) UMTS 2100 DL. The figures were obtained by merging the heat maps with aerial images of the area using Google Earth. The location of the site with sectorial mobile-phone antennas is shown in red along with the orientation of its sectors.</p>
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17 pages, 9526 KiB  
Article
Innovative Perspectives on Ecological Assessment in the Agro-Pastoral Ecotone of Inner Mongolia: An Integrated Evaluation and Forecast of Landscape and Ecological Risks and Drivers
by Jiaru Wu, Peng Han, Jiwu Zhai and Qing Zhang
Land 2024, 13(11), 1849; https://doi.org/10.3390/land13111849 - 6 Nov 2024
Viewed by 605
Abstract
The agro-pastoral ecotone of Inner Mongolia, one of China’s most ecologically vulnerable regions, requires careful evaluation and prediction of landscape ecological risks to improve its environment and support sustainable development. Our study built a model to assess the landscape ecological risks from 1990 [...] Read more.
The agro-pastoral ecotone of Inner Mongolia, one of China’s most ecologically vulnerable regions, requires careful evaluation and prediction of landscape ecological risks to improve its environment and support sustainable development. Our study built a model to assess the landscape ecological risks from 1990 to 2020 using land use data from Google Earth Engine. We examined the changes in landscape ecological risks and their driving factors through spatial autocorrelation analysis and geographic detectors. Future ecological risks from 2025 to 2040 were predicted using the multi-criteria evaluation-cellular automata-Markov model. Results revealed a declining trend in both disturbance and loss intensity across land use types, with the overall ecological risk index also decreasing. Higher risk areas were concentrated in the east and southwest, while lower risks were observed in the north and center. Temperature and precipitation are key natural factors, while the impact of Gross Domestic Product (GDP), a human factor, on ecological risk is increasing and surpassed natural influences in 2015 and 2020. In the future, the highest risk areas will remain in the southwest and northeast. This study provides detailed evidence and guidance for ecological safety and sustainable development in the agro-pastoral ecotone of Inner Mongolia. Full article
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<p>Location Distribution and DEM of study area.</p>
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<p>Land use types of area changes from 1990 to 2020 (<b>left</b> axis, <b>a</b>–<b>f</b>) and patch number changes (<b>right</b> axis, <b>a</b>–<b>f</b>) and chord diagrams of land use transition matrices (<b>g</b>,<b>h</b>). (<b>a</b>). cropland, (<b>b</b>). forest, (<b>c</b>). grassland, (<b>d</b>). water, (<b>e</b>). barren land, (<b>f</b>). impervious, (<b>g</b>). Chord diagram of land use transition matrix between 1990 and 2020, (<b>h</b>). Chord diagram of land use transition matrix from 1990 to 2020.</p>
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<p>Spatial distribution of land use changes from 1990 to 2020. (<b>a</b>). 1990, (<b>b</b>). 1995, (<b>c</b>). 2000, (<b>d</b>). 2005, (<b>e</b>). 2010, (<b>f</b>). 2015, (<b>g</b>). 2020.</p>
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<p>Landscape indices for each land use type from 1990 to 2020. (<b>a</b>). Fragmentation degree, (<b>b</b>). Separation degree, (<b>c</b>). Fractal dimension, (<b>d</b>). Disturbance index, (<b>e</b>). Loss index.</p>
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<p>Spatial distribution of LER level of the study area for the years 1990–2020. (<b>a</b>). 1990, (<b>b</b>). 1995, (<b>c</b>). 2000, (<b>d</b>). 2005, (<b>e</b>). 2010, (<b>f</b>). 2015, (<b>g</b>). 2020. (I: Very Low, II: Low, III: Medium, IV: High, V: Very High. The numbers in parentheses indicate the percentage of area for each LER level category.).</p>
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<p>Spatial distribution of changes in LER level in the study area. (<b>a</b>). 1990–1995, (<b>b</b>). 1995–2000, (<b>c</b>). 2000–2005, (<b>d</b>). 2005–2010, (<b>e</b>). 2010–2015, (<b>f</b>). 2015–2020, (<b>g</b>). 1990–2020, (<b>h</b>). the average ERI change line graph for 1990–2020 (“Improved” indicates a decrease in LER level, “Stable” indicates no change in LER level, “Deteriorated” indicates an increase in LER level. Numbers in parentheses represent the percentage of area for each LER level).</p>
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<p>Scatterplot of the impact of a single factor and heat map of factor interaction on ERI detection from 1990–2020. (<b>a</b>). q values of each factor, (<b>b</b>). 1990, (<b>c</b>). 1995, (<b>d</b>). 2000, (<b>e</b>). 2005, (<b>f</b>). 2010, (<b>g</b>). 2015, (<b>h</b>). 2020.</p>
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<p>Predicted land use types of maps and spatial distribution of LER levels for the study area from 2025–2040. (<b>a</b>). land use types of 2025, (<b>b</b>). land use types of 2030, (<b>c</b>). land use types of 2035, (<b>d</b>). land use types of 2040, (<b>e</b>). LER level of 2025, (<b>f</b>). LER level of 2030, (<b>g</b>). LER level of 2035, (<b>h</b>). LER level of 2040, (<b>i</b>). LER level changes from 2020 to 2040.</p>
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22 pages, 4480 KiB  
Article
Comparing Two Geostatistical Simulation Algorithms for Modelling the Spatial Uncertainty of Texture in Forest Soils
by Gabriele Buttafuoco
Land 2024, 13(11), 1835; https://doi.org/10.3390/land13111835 - 5 Nov 2024
Viewed by 728
Abstract
Uncertainty assessment is an essential part of modeling and mapping the spatial variability of key soil properties, such as texture. The study aimed to compare sequential Gaussian simulation (SGS) and turning bands simulation (TBS) for assessing the uncertainty in unknown values of the [...] Read more.
Uncertainty assessment is an essential part of modeling and mapping the spatial variability of key soil properties, such as texture. The study aimed to compare sequential Gaussian simulation (SGS) and turning bands simulation (TBS) for assessing the uncertainty in unknown values of the textural fractions accounting for their compositional nature. The study area was a forest catchment (1.39 km2) with soils classified as Typic Xerumbrepts and Ultic Haploxeralf. Samples were collected at 135 locations (0.20 m depth) according to a design developed using a spatial simulated annealing algorithm. Isometric log-ratio (ilr) was used to transform the three textural fractions into a two-dimensional real vector of coordinates ilr.1 and ilr.2, then 100 realizations were simulated using SGS and TBS. The realizations obtained by SGS and TBS showed a strong similarity in reproducing the distribution of ilr.1 and ilr.2 with minimal differences in average conditional variances of all grid nodes. The variograms of ilr.1 and ilr.2 coordinates were better reproduced by the realizations obtained by TBS. Similar results in reproducing the texture data statistics by both algorithms of simulation were obtained. The maps of expected values and standard deviations of the three soil textural fractions obtained by SGS and TBS showed no notable visual differences or visual artifacts. The realizations obtained by SGS and TBS showed a strong similarity in reproducing the distribution of isometric log-ratio coordinates (ilr.1 and ilr.2). Overall, their variograms and data were better reproduced by the realizations obtained by TBS. Full article
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<p>Location (<b>a</b>) and digital elevation model (<b>b</b>) of the study area. Locations of soil sampling points are also reported. In <a href="#land-13-01835-f001" class="html-fig">Figure 1</a>b, coordinates are reported using the World Geodetic System (1984) with the Universal Transverse Mercator zone 33 North Projection (WGS84 UTM 33N).</p>
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<p>Box plots of the (<b>a</b>) soil textural particle size fractions (sand, silt, and clay) and (<b>b</b>) isometric log-ratio (ilr) transformed data (ilr.1 and ilr.2).</p>
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<p>Direct and cross-variogram models (thick solid red lines) of the linear model of coregionalization (LMC) for Gaussian values of isometric log-ratio coordinates (ilr.1 and ilr.2).</p>
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<p>Quantile–quantile plots between original data and simulated isometric log-ratio coordinates (ilr.1 and ilr.2) for sequential Gaussian cosimulation, SGS (<b>a</b>,<b>b</b>) and turning bands cosimulation, TBS (<b>c</b>,<b>d</b>).</p>
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<p>Direct variograms of Gaussian isometric log-ratio 1 (ilr.1) data simulated with sequential Gaussian simulation, SGS (<b>a</b>,<b>b</b>) and turning bands, TBS (<b>c</b>,<b>d</b>) computed along north (<b>a</b>,<b>c</b>) and east (<b>b</b>,<b>d</b>) directions.</p>
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<p>Direct variograms of Gaussian isometric log-ratio 2 (ilr.2) data simulated with sequential Gaussian simulation, SGS (<b>a</b>,<b>b</b>) and turning bands, TBS (<b>c</b>,<b>d</b>) computed along north (<b>a</b>,<b>c</b>) and east (<b>b</b>,<b>d</b>) directions.</p>
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<p>Swath plots in the northern (<b>a</b>,<b>c</b>,<b>e</b>,<b>g</b>) and eastern directions (<b>b</b>,<b>d</b>,<b>f</b>,<b>h</b>) for the realizations of ilr.1 and ilr.2 obtained by sequential Gaussian simulation, SGS (<b>a</b>–<b>d</b>) and turning bands, TBS (<b>e</b>–<b>h</b>).</p>
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<p>Boxplots of (<b>a</b>) measured soil fraction sizes (sand, silt, and clay) data and expected values calculated from all SGS and TBS realizations; (<b>b</b>) standard deviations from all SGS and TBS realizations.</p>
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<p>Maps of the estimated expected values for sand, silt and clay obtained by sequential Gaussian simulation (SGS) (<b>a</b>–<b>c</b>) and turning band simulation (TBS) (<b>d</b>–<b>f</b>).</p>
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<p>Maps of the standard deviation of the realizations for sand, silt and clay obtained by sequential Gaussian simulation (SGS) (<b>a</b>–<b>c</b>) and turning band simulation (TBS) (<b>d</b>–<b>f</b>).</p>
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24 pages, 9559 KiB  
Article
Exploring the Effect of Sampling Density on Spatial Prediction with Spatial Interpolation of Multiple Soil Nutrients at a Regional Scale
by Prava Kiran Dash, Bradley A. Miller, Niranjan Panigrahi and Antaryami Mishra
Land 2024, 13(10), 1615; https://doi.org/10.3390/land13101615 - 4 Oct 2024
Viewed by 1123
Abstract
Essential soil nutrients are dynamic in nature and require timely management in farmers’ fields. Accurate prediction of the spatial distribution of soil nutrients using a suitable sampling density is a prerequisite for improving the practical utility of spatial soil fertility maps. However, practical [...] Read more.
Essential soil nutrients are dynamic in nature and require timely management in farmers’ fields. Accurate prediction of the spatial distribution of soil nutrients using a suitable sampling density is a prerequisite for improving the practical utility of spatial soil fertility maps. However, practical research is required to address the challenge of selecting an optimal sampling density that is both cost-effective and accurate for preparing digital soil nutrient maps across regional extents. This study examines the impact of sampling density on spatial prediction accuracy for a range of soil fertility parameters over a regional extent of 8303 km2 located in eastern India. Surface soil samples were collected from 1024 sample points. The performance of six levels of sampling densities for spatial prediction of 14 soil properties was compared using ordinary kriging. From the sample points, randomization was used to select 224 points for validation and the remaining 800 for calibration. Goodness-of-fit for the semi-variograms was evaluated by R2 of model fit. Lin’s concordance correlation coefficient (CCC) and root mean square error (RMSE) were evaluated through independent validation as spatial prediction accuracy parameters. Results show that the impact of sampling density on prediction accuracy was unique for each soil property. As a common trend, R2 of model fit and CCC scores improved, and RMSE values declined with the increasing sampling density for all soil properties. On the other hand, the rate of gain in the accuracy metrics with each increment in the sampling density gradually decreased and ultimately plateaued. This indicates that there exists a sampling density threshold beyond which the extra effort on additional sampling adds less to the spatial prediction accuracy. The findings of this study provide a valuable reference for optimizing soil nutrient mapping across regional extents. Full article
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<p>The study area with sample points. White boundaries of the study area represent the administrative block boundaries of the district.</p>
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<p>Conceptual framework of the methodology followed in this study. Corresponding abbreviations are SOC: soil organic carbon, EC: electrical conductivity, N: nitrogen, P: phosphorus, K: potassium, Ca: calcium, Mg: magnesium, S: sulfur, Fe: iron, Mn: manganese, Cu: copper, Zn: zinc, B: boron, R<sup>2</sup>: coefficient of determination, CCC: Lin’s concordance correlation coefficient, RMSE: root mean square error.</p>
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<p>Semi-variograms of selected soil properties at different sampling densities. The dots represent the sample semi-variograms, and the solid lines represent the model semi-variograms. Increasing sampling density corresponds to a reduction in the noisiness of the sample semi-variograms and a coinciding improvement in the goodness-of-fit for modeled semi-variograms for each soil property.</p>
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<p>General trends for R<sup>2</sup> of model fit and CCC for independent validation at different sampling densities. The box plots represent the ranges for R<sup>2</sup> of model fit and independent validation CCC values for each of the 14 soil properties. The ‘×’ marks represent the mean values; the horizontal bars inside the box plots represent the median values; the curves connect the mean values across different sampling densities. The values expressed in % represent the rate of gain in quality metrics at each step of sequential increases in the sampling density.</p>
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<p>Trends for R<sup>2</sup> of model fit and CCC for independent validation at different sampling densities for different categories of soil properties. The box plots represent the ranges for R<sup>2</sup> of model fit and independent validation CCC values for the categories of soil properties. The ‘×’ marks represent the mean values; the horizontal bars inside the box plots represent the median values; the curves connect the mean values across different sampling densities. The values expressed in % represent the rate of gain in quality metrics at each step of sequential increases in the sampling density.</p>
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<p>Trends for R<sup>2</sup> for model fit and CCC for independent validation at different sampling densities for individual soil properties. For each soil property, both R<sup>2</sup> of model fit and CCC of independent validation increased with increasing sampling density. Each soil property possessed its lowest R<sup>2</sup> of model fit and CCC of independent validation at the sampling density of 3 samples per 1000 km<sup>2</sup>. The highest R<sup>2</sup> of model fit was observed at sampling densities varying between 12 and 96 samples per 1000 km<sup>2</sup>. The highest CCCs were obtained at either 48 or 96 samples per 1000 km<sup>2</sup>. However, for many of the soil properties, these performance metrics plateaued after 12 to 24 samples per 1000 km<sup>2</sup>.</p>
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<p>Trends of RMSEs with increasing sampling densities for individual soil properties. While gradual declines in RMSE values are observed for the soil properties SOC, pH, Mg, S, and Cu, other soil properties exhibited sharp declines in RMSE initially and then slow declines thereafter with increasing sampling density.</p>
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<p>(<b>a</b>) Spatial prediction maps for SOC, pH, EC, N, P, K, and Ca at different sampling densities. For any soil property, the overall spatial pattern of the resulting maps remained nearly the same across all the sampling densities. Increasing sampling density corresponded to a decline in the smoothing effect and a subsequent increase in spatial heterogeneity of the resulting maps. (<b>b</b>) Spatial prediction maps for Mg, S, Fe, Mn, Cu, Zn, and B at different sampling densities. Similar to (<b>a</b>), the representation of spatial structures became more detailed with increasing sampling density.</p>
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<p>(<b>a</b>) Spatial prediction maps for SOC, pH, EC, N, P, K, and Ca at different sampling densities. For any soil property, the overall spatial pattern of the resulting maps remained nearly the same across all the sampling densities. Increasing sampling density corresponded to a decline in the smoothing effect and a subsequent increase in spatial heterogeneity of the resulting maps. (<b>b</b>) Spatial prediction maps for Mg, S, Fe, Mn, Cu, Zn, and B at different sampling densities. Similar to (<b>a</b>), the representation of spatial structures became more detailed with increasing sampling density.</p>
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<p>The relationship between mapping extent and optimal sampling density is based on a literature review of 21 studies (blue dots) and the present study (red dot). These studies included SOC, SOC stock, SOM, particle size fraction, electrical conductivity, pH, total nitrogen, phosphorus, potassium, iron, manganese, copper, zinc, boron, aluminium, and base saturation. A study mapping soil depth that identified the equivalent of 323 samples per km<sup>2</sup> for fields ranging from 0.2 to 0.7 km<sup>2</sup> [<a href="#B41-land-13-01615" class="html-bibr">41</a>] has been excluded as an outlier.</p>
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17 pages, 4503 KiB  
Article
The Multi-Parameter Mapping of Groundwater Quality in the Bourgogne-Franche-Comté Region (France) for Spatially Based Monitoring Management
by Abderrahim Bousouis, Abdelhak Bouabdli, Meryem Ayach, Laurence Ravung, Vincent Valles and Laurent Barbiero
Sustainability 2024, 16(19), 8503; https://doi.org/10.3390/su16198503 - 29 Sep 2024
Cited by 1 | Viewed by 827
Abstract
Groundwater, a vital resource for providing drinking water to populations, must be managed sustainably to ensure its availability and quality. This study aims to assess the groundwater quality in the Bourgogne-Franche-Comté region (~50,000 km2) of France and identify the processes responsible [...] Read more.
Groundwater, a vital resource for providing drinking water to populations, must be managed sustainably to ensure its availability and quality. This study aims to assess the groundwater quality in the Bourgogne-Franche-Comté region (~50,000 km2) of France and identify the processes responsible for its variability. Data were extracted from the Sise-Eaux database, resulting in an initial sparse matrix comprising 8723 samples and over 100 bacteriological and physicochemical parameters. From this, a refined full matrix of 3569 samples and 22 key parameters was selected. The data underwent logarithmic transformation before applying principal component analysis (PCA) to reduce the dimensionality of the dataset. The analysis of the spatial structure, using both raw and directional variograms, revealed a categorization of parameters, grouping major ions according to the regional lithology. Bacteriological criteria (Escherichia coli and Enterococcus) displayed strong spatial variability over short distances, whereas iron (Fe) and nitrates showed intermediate spatial characteristics between bacteriology and major ions. The PCA allowed the creation of synthetic maps, with the first seven capturing 80% of the information contained in the database, effectively replacing the individual parameter maps. These synthetic maps highlighted the different processes driving the spatial variations in each quality criterion. On a regional scale, the variations in fecal contamination were found to be multifactorial, with significant influences captured by the first four principal components. The 22 parameters can be grouped into six categories based on their spatial and temporal variations, allowing for the redefinition of a resource management and monitoring strategy that is adapted to the identified spatial patterns and processes at the regional scale, while also reducing analytical costs. Full article
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<p>Location and relief of the BFC region.</p>
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<p>(<b>a</b>) Location of the 989 groundwater catchments; (<b>b</b>) simplified geological map of the BFC region (adapted from BRGM, <a href="https://www.brgm.fr/fr/implantation-regionale/bourgogne-franche-comte" target="_blank">https://www.brgm.fr/fr/implantation-regionale/bourgogne-franche-comte</a>, accessed in January 2024).</p>
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<p>Distribution maps for parameters (<b>a</b>) EC (proportional to the sum of major ions), (<b>b</b>) NO<sub>3</sub> (sensitive to agricultural pollution), (<b>c</b>) <span class="html-italic">E. coli</span> and (<b>d</b>) Enter. (representing fecal contamination), (<b>e</b>) Fe (trace metal element), and (<b>f</b>) arsenic. All the maps were drawn using the variogram calculated based on all the data (VarTot). Units are µS cm<sup>−1</sup> for EC, mg L<sup>−1</sup> for major ions, nitrates, and traces, and number of cells per 100 mL for bacteria.</p>
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<p>Examples of variograms obtained for (<b>a</b>,<b>b</b>) EC and major ions, (<b>c</b>) nitrates, (<b>d</b>) As, (<b>e</b>) Fe, (<b>f</b>) Mn, and (<b>g,h</b>) bacteriological parameters. For all the graphs, the black lines and symbols represent the variogram calculated using all the data (VarTot), and the red lines and symbols represent the variogram calculated using the mean of the parameter at each measurement point (VarMean).</p>
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<p>Examples of variograms obtained for (<b>a</b>,<b>b</b>) EC and major ions, (<b>c</b>) nitrates, (<b>d</b>) As, (<b>e</b>) Fe, (<b>f</b>) Mn, and (<b>g,h</b>) bacteriological parameters. For all the graphs, the black lines and symbols represent the variogram calculated using all the data (VarTot), and the red lines and symbols represent the variogram calculated using the mean of the parameter at each measurement point (VarMean).</p>
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<p>Inertia of the factorial axes of the PCA conducted on the log-transformed data.</p>
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<p>Distribution of the parameters in the factorial plans (<b>a</b>) PC1–PC2 and (<b>b</b>) PC3–PC4.</p>
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<p>Distribution of the first four factorial axes across the Bourgogne-Franche-Comté region.</p>
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<p>Clustering of the parameters into six groups.</p>
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31 pages, 29333 KiB  
Article
VARS and HDMR Sensitivity Analysis of Groundwater Flow Modeling through an Alluvial Aquifer Subject to Tidal Effects
by Javier Samper, Brais Sobral, Bruno Pisani, Alba Mon, Carlos López-Vázquez and Javier Samper-Pilar
Water 2024, 16(17), 2526; https://doi.org/10.3390/w16172526 - 5 Sep 2024
Viewed by 947
Abstract
Groundwater flow and transport models are essential tools for assessing and quantifying the migration of organic contaminants at polluted sites. Uncertainties in the hydrodynamic and transport parameters of the aquifer have a significant effect on model predictions. Uncertainties can be quantified with advanced [...] Read more.
Groundwater flow and transport models are essential tools for assessing and quantifying the migration of organic contaminants at polluted sites. Uncertainties in the hydrodynamic and transport parameters of the aquifer have a significant effect on model predictions. Uncertainties can be quantified with advanced sensitivity methods such as Sobol’s High Dimensional Model Reduction (HDMR) and Variogram Analysis of Response Surfaces (VARS). Here we present the application of VARS and HDMR to assess the global sensitivities of the outputs of a transient groundwater flow model of the Gállego alluvial aquifer which is located downstream of the Sardas landfill in Huesca (Spain). The aquifer is subject to the tidal effects caused by the daily oscillations of the water level in the Sabiñánigo reservoir. Global sensitivities are analyzed for hydraulic heads, aquifer/reservoir fluxes, groundwater Darcy velocity, and hydraulic head calibration metrics. Input parameters include aquifer hydraulic conductivities and specific storage, aquitard vertical hydraulic conductivities, and boundary inflows and conductances. VARS, HDMR, and graphical methods agree to identify the most influential parameters, which for most of the outputs are the hydraulic conductivities of the zones closest to the landfill, the vertical hydraulic conductivity of the most permeable zones of the aquitard, and the boundary inflow coming from the landfill. The sensitivity of heads and aquifer/reservoir fluxes with respect to specific storage change with time. The aquifer/reservoir flux when the reservoir level is high shows interactions between specific storage and aquitard conductivity. VARS and HDMR parameter rankings are similar for the most influential parameters. However, there are discrepancies for the less relevant parameters. The efficiency of VARS was demonstrated by achieving stable results with a relatively small number of simulations. Full article
(This article belongs to the Section Hydrogeology)
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<p>Flowchart of the methodology used in this study.</p>
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<p>(<b>a</b>) Location of the study area; (<b>b</b>) enlargement showing the model domain, the Sabiñánigo reservoir, the Sardas landfill, the Gállego River course, and the INQUINOSA (Sabiñánigo, Spain) former production site. The arrows along the Gállego River course indicate the flow direction.</p>
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<p>Cross-sectional geological profile of the Sabiñánigo reservoir and the Gállego River alluvial plain as reported by Sobral et al. [<a href="#B38-water-16-02526" class="html-bibr">38</a>]. Alluvial deposits include a shallow silt layer (green) and a deep layer of sand and gravel.</p>
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<p>2D finite element mesh, monitoring wells, material zones, boundary conditions, and GSA input parameters (<b>top plot</b>) and enlargement showing the area downstream of the Sardas landfill (<b>bottom plot</b>). The confined storage coefficient (S<sub>S</sub>) is the same in the four material zones. The sands and gravels are assumed to be confined in the alluvial (r<sub>c</sub>), except in the wooded areas (r<sub>u</sub>). Unconfined areas are shown with a back-hashed polygon.</p>
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<p>Map showing the reservoir tail area (hashed blue polygon) where aquifer/reservoir fluxes were calculated at times t1, t2, and t3, the monitoring wells whose piezometric data were used to calculate the calibration metrics, monitoring wells ST1C, PS19B, SPN1, and PS16C (where the average Darcy velocity is computed).</p>
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<p>Measured reservoir hydrograph and piezometric heads in well ST1C from 18–20 September 2020. The computed piezometric heads in monitoring wells ST1C, PS19B, and SPN1 and the aquifer/reservoir fluxes are analyzed at the following times: (1) t1, 18 September 2020, 20:00 (low reservoir water level), (2) t2, 18 September 2020, 22:30 (peak reservoir water level) and (3) t3, 19 September 2020, 04:30 (descending reservoir water level).</p>
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<p>Scatterplots of the computed piezometric heads in wells ST1Ct2 (<b>upper left plot</b>), PS19Bt2 (<b>upper right plot</b>), SPN1t2 (<b>lower left plot</b>), and Qt2 (<b>lower right plot</b>) versus the vertical hydraulic conductivity of the silting sediments in the former river course (Kvs1). The sample of 16384 points was generated with a Sobol sequence. The clouds of plots are shown for the following three ranges of percentiles, p, of the specific storage coefficient (S<sub>S</sub>): (1) p &lt; 30%; (2) 30% &lt; p &lt; 70%, and (3) p &gt; 70%.</p>
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<p>CUSUNORO curves of computed head in wells ST1C and PS19B at times t1, t2 and t3; and well SPN1 at times t1 and t2.</p>
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<p>CUSUNORO curves of the computed head in well SPN1 at time t3, MAEg, NRMSEg, NSEg, Q<sub>t1</sub>, Q<sub>t2</sub>, Q<sub>t3</sub>, and q<sub>av</sub>.</p>
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<p>IVARS<sub>50</sub> indexes of input parameters as a function of the number of star centers for MAEg (<b>upper plot</b>), and robustness of ranking as a function of the number of star centers (<b>bottom plot</b>).</p>
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<p>IVARS<sub>50</sub> indexes of input parameters as a function of the number of star centers for the average Darcy velocity (q<sub>av</sub>) (<b>upper plot</b>), and robustness of ranking as a function of the number of star centers (<b>bottom plot</b>).</p>
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<p>Sample variograms of the computed heads in monitoring wells ST1C and PS19B at times t1, t2, and t3 and monitoring well SPN1 at times t1 and t2. Only the variograms of the five most influential parameters are shown in the plots.</p>
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<p>Sample variograms of the computed head in well SPN1 at time t3, MAEg, NRMSEg, NSEg, Q<sub>t1</sub>, Q<sub>t2</sub>, Q<sub>t3</sub>, and q<sub>av</sub>. Only the variograms of the five most influential parameters are shown in the plots.</p>
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<p>VARS-TO, IVARS<sub>50</sub>, and VARS-ABE indexes for the computed heads in wells ST1C and PS19B at times t1, t2, and t3 and well SPN1 at times t1 and t2.</p>
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<p>VARS-TO, IVARS<sub>50</sub>, and VARS-ABE indexes for the computed head in well SPN1 at time t3, MAEg, NRMSEg, NSEg, Q<sub>t1</sub>, Q<sub>t2</sub>, Q<sub>t3</sub>, and q<sub>av</sub>.</p>
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<p>IVARS<sub>50</sub> sensitivity indexes for computed heads in wells ST1C (<b>top left plot</b>), PS19B (<b>top right plot</b>), and SPN1 (<b>bottom left plot</b>) and aquifer/reservoir flow (<b>bottom right plot</b>) at times t1, t2, and t3.</p>
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<p>IVARS<sub>50</sub> sensitivity indexes for calibration metrics MAEg, NRMSEg, and NSEg.</p>
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15 pages, 3921 KiB  
Article
Multivariate Geostatistics for Mapping of Transmissivity and Uncertainty in Karst Aquifers
by Thiago dos Santos Gonçalves, Harald Klammler, Luíz Rogério Bastos Leal and Lucas de Queiroz Salles
Water 2024, 16(17), 2430; https://doi.org/10.3390/w16172430 - 28 Aug 2024
Viewed by 909
Abstract
Due to their complex morphology, karst terrains are particularly more fragile and vulnerable to environmental damage compared to most natural systems. Their hydraulic properties, such as their transmissivity (T) and spatial variability, can be relevant for understanding groundwater flow and, consequently, [...] Read more.
Due to their complex morphology, karst terrains are particularly more fragile and vulnerable to environmental damage compared to most natural systems. Their hydraulic properties, such as their transmissivity (T) and spatial variability, can be relevant for understanding groundwater flow and, consequently, for the sustainable management of water resources. The application of geostatistical methods allows for spatial interpolation and mapping based on observations combined with uncertainty quantification. Direct measurements of T are typically scarce, while those of the specific capacity (Sc) are more frequent. We established a linear and spatial relationship between the logarithms of T and Sc measured in 174 wells in a semi-arid karst region in northeastern Brazil. These relationships were used to construct a cross-variogram, whose Linear Model of Coregionalization proved valid. The values and the cross-variogram of logT and logSc were used to generate interpolations over 2554 values of logSc, which did not spatially coincide with logT. We used ordinary co-kriging (CO-OK) and conditional sequential Gaussian co-simulation (CO-SGS) to generate the interpolations. The cross-variogram of logT and logSc, when considering 174 wells, was isotropic with an exponential structure, a nugget effect of approximately 20% of the sill, and a range of 5 km. Cross-validation indicated an optimal number of 10 neighboring wells used in CO-OK, and we used 500 stochastic realizations in CO-SGS, which were then used to generate maps of logT estimates, deviations derived from the interpolations, and probabilistic scenarios. The resulting transmissivity maps are relevant for the design of groundwater management strategies, including stochastic approaches where the transmissivity realizations can be used to parameterize multiple executions of numerical flow models. Full article
(This article belongs to the Section Hydrogeology)
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<p>Geological map [<a href="#B46-water-16-02430" class="html-bibr">46</a>] of the study area, showing the lithotypes of the Salitre Karst Aquifer (SKA), the Chapada Diamantina Group (CDG), and detrital cover. Non-English words are city and river names. For further maps, vertical cross-sections and river discharge time series, see <a href="#app1-water-16-02430" class="html-app">Supporting Information</a>.</p>
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<p>Location of the pumping wells used in this study. (<b>a</b>) Wells with data from the CERB database used for calculating <span class="html-italic">T</span> using Theis’s recovery method (1935) [<a href="#B3-water-16-02430" class="html-bibr">3</a>] and determining <span class="html-italic">S<sub>c</sub></span> values. (<b>b</b>) Wells with <span class="html-italic">S<sub>c</sub></span> data from the SGB database.</p>
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<p>Scatter plots between observed values of <span class="html-italic">T</span> and <span class="html-italic">S<sub>c</sub></span> (green dots) with linear regression lines (red) and confidence intervals (grey shaded). (<b>a</b>) Raw data of <span class="html-italic">T</span> and <span class="html-italic">S<sub>c</sub></span> presenting asymmetric distributions, and (<b>b</b>) logarithmically transformed data being approximately symmetric.</p>
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<p>Experimental variograms (circles) and theoretical variograms (fitted lines). The variograms of log<span class="html-italic">T</span>, log<span class="html-italic">S<sub>c</sub></span>, and log<span class="html-italic">T</span> × log<span class="html-italic">S<sub>c</sub></span> are represented in blue, red, and black, respectively.</p>
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<p>Variation in RMSE as a function of the number of nearest neighbors used in ordinary co-kriging. The value of <span class="html-italic">m</span> = 10 represents the number of neighbors used to interpolate the log<span class="html-italic">T</span> values.</p>
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<p>Interpolation of (<b>a</b>) log<span class="html-italic">T</span> by ordinary co-kriging, (<b>b</b>) standard deviation associated with the interpolations.</p>
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<p>Decrease in MVI to a level close to zero. Above 500 realizations, the value MVI remained practically constant and near zero.</p>
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<p>Spatial representation of 500 stochastic realizations for co-simulated values of log<span class="html-italic">T</span> (m<sup>2</sup>/d). (<b>a</b>) Means of the realizations, (<b>b</b>) standard deviations, (<b>c</b>) probability of log<span class="html-italic">T</span> &lt; 0.5, and (<b>d</b>) probability of log<span class="html-italic">T</span> &gt; 2.5.</p>
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16 pages, 762 KiB  
Article
Geostatistical Analysis of Groundwater Data in a Mining Area in Greece
by E. Diamantopoulou, A. Pavlides, E. Steiakakis and E. A. Varouchakis
Hydrology 2024, 11(7), 102; https://doi.org/10.3390/hydrology11070102 - 11 Jul 2024
Viewed by 1020
Abstract
Geostatistical prediction methods are increasingly used in earth sciences and engineering to improve upon our knowledge of attributes in space and time. During mining activities, it is very important to have an estimate of any contamination of the soil and groundwater in the [...] Read more.
Geostatistical prediction methods are increasingly used in earth sciences and engineering to improve upon our knowledge of attributes in space and time. During mining activities, it is very important to have an estimate of any contamination of the soil and groundwater in the area for environmental reasons and to guide the reclamation once mining operations are finished. In this paper, we present the geostatistical analysis of the water content in certain pollutants (Cd and Mn) in a group of mines in Northern Greece. The monitoring points that were studied are 62. The aim of this work is to create a contamination prediction map that better represents the values of Cd and Mn, which is challenging based on the small sample size. The correlation between Cd and Mn concentration in the groundwater is investigated during the preliminary analysis of the data. The logarithm of the data values was used, and after removing a linear trend, the variogram parameters were estimated. In order to create the necessary maps of contamination, we employed the method of ordinary Kriging (OK) and inversed the transformations using bias correction to adjust the results for the inverse transform. Cross-validation shows promising results (ρ=65% for Cd and ρ=52% for Mn, RMSE = 25.9 ppb for Cd and RMSE = 25.1 ppm for Mn). As part of this work, the Spartan Variogram model was compared with the other models and was found to perform better for the data of Mn. Full article
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<p>Flowchart of the procedure.</p>
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<p>Map of drill holes in three mines. Mine A (blue O), mine B (back X) and mine C (red +). Coordinates are in meters.</p>
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<p>Histograms for the logarithm-transformed data and correlations of Cd and Mn. The red lines on the histogram represent the normal distribution fit to the data and the red lines at the scatterplots represent the 1-to-1 line.</p>
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<p>Element variograms. Distance is in meters.</p>
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<p>Prediction maps of the logarithmic concentration (<b>a</b>,<b>b</b>); standard deviation of the prediction error for the logarithm of the elements (<b>c</b>,<b>d</b>).</p>
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<p>Kriging map of estimated values after the inverse transformation. Values are in ppb for Cd and ppm for Mn.</p>
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<p>Cross-validation errors for Cd.</p>
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<p>Cross-validation errors for Mn using the SSRF variogram.</p>
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21 pages, 3596 KiB  
Article
Metallurgical Copper Recovery Prediction Using Conditional Quantile Regression Based on a Copula Model
by Heber Hernández, Martín Alberto Díaz-Viera, Elisabete Alberdi, Aitor Oyarbide-Zubillaga and Aitor Goti
Minerals 2024, 14(7), 691; https://doi.org/10.3390/min14070691 - 1 Jul 2024
Viewed by 1306
Abstract
This article proposes a novel methodology for estimating metallurgical copper recovery, a critical feature in mining project evaluations. The complexity of modeling this nonadditive variable using geostatistical methods due to low sampling density, strong heterotopic relationships with other measurements, and nonlinearity is highlighted. [...] Read more.
This article proposes a novel methodology for estimating metallurgical copper recovery, a critical feature in mining project evaluations. The complexity of modeling this nonadditive variable using geostatistical methods due to low sampling density, strong heterotopic relationships with other measurements, and nonlinearity is highlighted. As an alternative, a copula-based conditional quantile regression method is proposed, which does not rely on linearity or additivity assumptions and can fit any statistical distribution. The proposed methodology was evaluated using geochemical log data and metallurgical testing from a simulated block model of a porphyry copper deposit. A highly heterotopic sample was prepared for copper recovery, sampled at 10% with respect to other variables. A copula-based nonparametric dependence model was constructed from the sample data using a kernel smoothing method, followed by the application of a conditional quantile regression for the estimation of copper recovery with chalcocite content as secondary variable, which turned out to be the most related. The accuracy of the method was evaluated using the remaining 90% of the data not included in the model. The new methodology was compared to cokriging placed under the same conditions, using performance metrics RMSE, MAE, MAPE, and R2. The results show that the proposed methodology reproduces the spatial variability of the secondary variable without the need for a variogram model and improves all evaluation metrics compared to the geostatistical method. Full article
(This article belongs to the Topic Mining Innovation)
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<p>General methodological workflow.</p>
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<p>Copper recovery for the 100% (<b>in the left</b>) and 10% (<b>in the right</b>) sample maps, respectively.</p>
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<p>Copper recovery histogram and boxplot for the full (100%) dataset.</p>
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<p>Copper recovery histogram and boxplot for 10% sample dataset.</p>
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<p>Spearman correlation heat map of all geochemical attributes for a 10% sample.</p>
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<p>Copper recovery vs. chalcocite scatterplot for 10% sample dataset.</p>
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<p>Chalcocite for the 100% (<b>in the left</b>) and 10% (<b>in the right</b>) sample maps, respectively.</p>
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<p>Copper recovery variogram model. The blue dots are the empirical variogram and the continuous green line is the fitted variogram model.</p>
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<p>Model fitting of the chalcocite marginal using the kernel smoothing method with the Student function. The cumulative distribution function is on the left side and the probability density function is on the right side.</p>
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<p>Model fitting of the copper recovery marginal using the kernel smoothing method with the Student function. The cumulative distribution function is on the left side and the probability density function is on the right side.</p>
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<p>Copula model fitting using kernel smoothing method with a kernel Student function.</p>
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<p>Joint copper recovery and chalcocite nonconditional simulation. The aquamarine circles are the data sample values and blue crosses are the copper–chalcocite joint bivariate unconditional simulation values.</p>
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<p>Scatterplot of copper recovery vs. chalcocite. The blue dots are the observed data values, the red line is the median estimated values, and the orange and green lines are the first (Q1) and third (Q3) quartiles, respectively, by CQRM application.</p>
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<p>Copper recovery empirical variograms from full data, 10% sample, CCM and CQRM.</p>
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<p>Mean estimation (<b>on the left side</b>) and standard deviation (<b>on the right side</b>) for copper recovery conditioned by chalcocite using CCM.</p>
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<p>Median estimation (<b>on the left side</b>) and interquartile range (<b>on the right side</b>) for copper recovery conditioned by chalcocite using CQRM.</p>
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<p>Median quantile regression estimation for copper recovery conditioned by chalcocite under different scenarios. The figures are arranged from left to right and from top to bottom: full (100%) map, 1%, 5%, 10%, 15%, and 20% sample data.</p>
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10 pages, 5049 KiB  
Communication
Kriging Interpolation for Constructing Database of the Atmospheric Refractivity in Korea
by Doyoung Jang, Nammoon Kim and Hosung Choo
Remote Sens. 2024, 16(13), 2379; https://doi.org/10.3390/rs16132379 - 28 Jun 2024
Viewed by 885
Abstract
This paper presents a Kriging interpolation method for constructing a database of atmospheric refractivity in Korea. To collect as much data as possible for the interpolation, meteorological data from 120 regions of Korea, including both land and sea areas, are examined. Then, the [...] Read more.
This paper presents a Kriging interpolation method for constructing a database of atmospheric refractivity in Korea. To collect as much data as possible for the interpolation, meteorological data from 120 regions of Korea, including both land and sea areas, are examined. Then, the normalized atmospheric refractivity Nn is calculated for an altitude of 0 m, because the refractivity tends to vary depending on the altitude of the observation site. In addition, the optimal variogram model to obtain the spatial correlation required for the Kriging method is investigated. The estimation accuracy of the Kriging interpolation is compared with that of the inverse distance weighting (IDW) and the bi-linear methods. The average and maximum estimation errors when using the Kriging method are 0.24 and 1.32, respectively. The result demonstrates that the Kriging method is more suitable for the interpolation of atmospheric refractivity in Korea than the conventional methods. Full article
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<p>Kriging interpolation.</p>
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<p>Example of a variogram cloud that includes all the dissimilarities (γ*) for the data set.</p>
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<p>Experimental and theoretical variograms.</p>
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<p>Locations of the observatories in Korea.</p>
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<p>Altitude of the meteorological observatories in Korea.</p>
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<p>Histograms of the <span class="html-italic">N</span> and <span class="html-italic">N<sub>n</sub></span> for the atmospheric measurement data.</p>
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<p>Average and maximum estimation errors of the Kriging interpolation according to the variogram models.</p>
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<p>Comparison of the interpolation results for 1 January 2022: (<b>a</b>) Bi-linear; (<b>b</b>) IDW; (<b>c</b>) Kriging.</p>
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<p>Kriging interpolation results for the four-season data: (<b>a</b>) winter; (<b>b</b>) spring; (<b>c</b>) summer; (<b>d</b>) fall.</p>
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<p>Kriging interpolation results for data on January 1 of each year from 2014 to 2024.</p>
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