1. Introduction
Understanding soil properties’ spatial and temporal variability is paramount in various engineering applications, particularly in designing and constructing transportation infrastructure such as roads and highways [
1]. Soil characteristics, including particle size distribution, Atterberg limits, compaction behavior, and bearing capacity, can significantly influence the performance and durability of road structures. These properties are not static but can exhibit considerable variations due to environmental factors, most notably seasonal changes in climatic conditions [
2]. Seasonal fluctuations in temperature, precipitation, and moisture content can profoundly impact soil behavior, leading to alterations in physical and mechanical properties [
3]. During wet seasons, soils may experience higher moisture levels, potentially affecting particle cohesion, plasticity, and compaction characteristics. Conversely, dry seasons can lower moisture content, impacting soil strength, bearing capacity, and erosion resistance [
4]. A failure to account for these seasonal variations can lead to suboptimal design decisions, compromised construction quality, and increased maintenance requirements for road infrastructure [
5]. Northern Nigeria, characterized by a Sahelian climate, experiences distinct wet and dry seasons, making it an ideal setting for investigating the effects of seasonal variations on soil properties [
6]. The region’s semi-arid conditions, influenced by the Harmattan wind and the West African Monsoon system, provide contrasting environmental features that can significantly impact soil behavior [
7].
Network analysis techniques have become integral to civil engineering, facilitating the optimization of infrastructure design, project management, and sustainability assessments [
8]. This literature review explores the evolution and application of network analysis methods within the field, highlighting their significance and recent advancements. In project management, methods like the critical path method (CPM) and program evaluation and review technique (PERT) have become essential tools for planning and controlling construction activities, utilizing network diagrams to represent task interdependencies and facilitate resource allocation [
9]. Luleci et al. investigate the integration of artificial intelligence (AI), particularly generative adversarial networks (GANs), which have revolutionized structural health monitoring (SHM) by generating synthetic data for model training, thereby improving the accuracy of damage detection and structural assessment [
10]. The investigation by Hewa Welege et al. on social network analysis (SNA) has proven valuable in mapping stakeholder relationships within sustainable construction projects, optimizing collaboration strategies, and enhancing project outcomes [
11]. Dandy et al. investigate the water distribution systems, and network analysis techniques incorporating linear and nonlinear programming, along with genetic algorithms, which have enabled the design of cost-effective and efficient pipe networks [
12]. Zhou et al. examine spatial analysis methods, such as space syntax, which have become instrumental in urban planning by evaluating street network connectivity and spatial configurations to improve accessibility and functionality [
13]. These diverse network analysis applications have collectively enhanced civil engineering practices’ efficiency, sustainability, and innovation, demonstrating the technique’s versatility and significance in addressing complex infrastructure challenges.
A longitudinal soil sampling study was conducted in Maiduguri, Nigeria to examine seasonal dynamics of soil properties along a 4.8 km roadway near the Alau Dam. The research aimed to investigate the contrasting effects of dry and wet seasons on soil moisture, chemical composition, and physical structure, addressing a critical gap in understanding how seasonal variations impact road construction corridors [
14,
15,
16]. For instance, studies conducted in Virginia, North Dakota, New York, and Vermont have reported increased bulk density and reduced water infiltration at road-edge positions compared to non-road edges, attributed to construction, traffic, and vibrations consolidating soils. These changes potentially compromise vegetation establishment and road infrastructure integrity [
17]. While existing research has acknowledged seasonal influences on soil properties, comprehensive investigations specific to road construction corridors remain limited. Current network analysis techniques have primarily been applied to agricultural and environmental contexts, overlooking the unique challenges presented by transportation infrastructure projects [
18]. The study recognizes that seasonal variations in soil moisture, density, and compaction characteristics demand careful consideration during road design and construction. By providing insights into these dynamic soil properties, the research seeks to inform more robust soil management strategies and enhance the long-term durability of transportation infrastructure in regions with pronounced seasonal environmental shifts.
The novelty of the presented study lies in its comprehensive approach to investigating the effects of seasonal variations on soil properties along a specific road construction site in northern Nigeria, utilizing both traditional soil analysis methods and advanced network analysis techniques. By analyzing soil samples collected during different seasons and employing network analysis to explore the spatial variability and interconnectedness of soil characteristics among test stations, the study offers new insights into the multidimensional nature of soil spatial variability along transport corridors. The application of network analysis, including centrality measures and community detection algorithms, to study the structure and properties of the network of test stations based on soil characteristics is a novel contribution to the field. This approach allows for a more nuanced understanding of the interconnectedness and similarity among test stations. This can inform more effective road design, construction practices, and soil management strategies that account for soil properties’ complex spatial and temporal variability.
Figure 1 shows the soil compaction process during roadway construction, demonstrating the critical geotechnical engineering technique influencing soil strength, permeability, and settlement behavior. The workers use standard compaction equipment to achieve optimal soil density, a crucial step in preparing the roadway’s foundation.
While prior studies have examined soil spatial variability in agricultural or environmental engineering, limited attention has been devoted to transportation infrastructure corridors, where seasonal hydrological dynamics directly impact geotechnical performance. Specifically, existing literature lacks a systematic integration of network analysis with traditional geotechnical parameters (e.g., Atterberg limits, California bearing ratio) to quantify seasonal soil property interdependencies along roadways. This gap is particularly pronounced in semi-arid regions like northeastern Nigeria, where extreme seasonal shifts—exacerbated by events such as dam failures—create unique challenges for infrastructure resilience. Prior work has yet to address how moisture-driven plasticity changes and particle redistribution influence networked soil behavior across wet and dry seasons, limiting the development of adaptive design strategies for vulnerable transport networks. The study was designed to address this gap through three interconnected objectives: 1. To characterize seasonal variations in soil properties (particle size distribution, Atterberg limits, compaction characteristics, and CBR) along a flood-affected roadway in Maiduguri, Nigeria; 2. To apply network analysis—employing centrality measures and multivariate thresholds—to identify spatial and temporal patterns in soil property interdependencies; 3. To evaluate the engineering implications of seasonal soil dynamics for road design, including compaction optimization. These objectives collectively advance the application of network science in geotechnical engineering while addressing region-specific challenges posed by seasonal extremes.
2. Background of Study
The study area, strategically positioned near Maiduguri, encompasses a critical transitional zone where river networks intersect anthropogenic infrastructure, presenting an ideal locale for examining soil property dynamics. Extending toward the Alau Dam, the corridor offers a comprehensive perspective on soil transformation mechanisms influenced by hydrological and climatic variations. The region’s geotechnical landscape was profoundly altered by the catastrophic Alau Dam collapse on the 10 September 2024, which precipitated extensive flooding and induced significant geomorphological disruptions. This event underscored the complex interactions between hydrological systems and soil properties, highlighting the vulnerability of infrastructural and environmental systems [
19]. Situated within the semi-arid Sahelian belt, Maiduguri experiences pronounced seasonal variations, with an average annual precipitation of 452 mm predominantly concentrated in the wet season (June–September). The local soil composition—characterized by sandy loams with minimal organic content and variable clay fractions—renders the landscape intrinsically susceptible to moisture-induced transformations [
20]. The research site’s geological and hydrological attributes provide a nuanced framework for investigating soil property evolution, offering critical insights into environmental management and sustainable land-use strategies in climatically dynamic regions.
The Alau Dam, constructed between 1984 and 1986, is a critical water source for irrigation, domestic use, and fisheries in Maiduguri and its environs. The Alau Dam, a vital water reservoir fed by the Konduga River and tributaries from Niger and Chad, historically mitigated seasonal water scarcity. However, its collapse released torrents of water that inundated vast areas, saturating soils and redistributing sediments across Maiduguri’s urban and peri-urban landscapes [
21].
Figure 2A shows a map showing a region with two labelled locations: Maiduguri City and Alau Dam, a red square locating the dam indicates a path or line of sight between them.
Figure 2B shows the map of Nigeria and Maiduguri City, a red square located in Maiduguri state, Nigeria.
Figure 2C provides a geographical feature for the location of Alau Dam within Maiduguri and Nigeria, helping to understand its position and scale relative to the surrounding areas.
The flooding underscored the interplay between climate extremes and soil behavior. Pre-existing vulnerabilities—such as inadequate drainage systems and deforestation—amplified the dam’s collapse effects, destabilizing soils and compromising road foundations [
22]. Network analysis revealed moderate interconnectivity in soil properties across stations, suggesting that flood-induced homogenization was spatially limited. This spatial variability necessitates site-specific engineering solutions, such as reinforced embankments in erosion-prone zones and moisture-resistant materials in urban areas.
Figure 3a–c powerfully captures the severity of the flooding and its impact on the community, infrastructure, and environment of Maiduguri City, Nigeria.
2.1. Study Area and Site Description
The study implemented a systematic sampling approach along a 4.8 km roadway in Maiduguri, strategically establishing 25 test stations to capture spatial soil property variations. The sampling design reflected the complex environmental gradient from the urban core to the Alau Dam reservoir, accommodating urban clustering, river meandering, and hydrological influences. In the urban core (stations 1–10), denser station placement captured flood-induced soil heterogeneity characteristics of densely populated areas with significant anthropogenic modifications. The rural–urban transition zone (stations 11–20), is strategically aligned with river meanders to monitor sediment deposition and geotechnical property variations. Stations near the Alau Dam (21–25) maintained consistent spacing, accounting for coarser sediments and reduced human interference. This variable sampling strategy emerged from preliminary hydrogeological reconnaissance, targeting flood stagnation patterns and sediment sorting processes. The methodology’s nuanced spatial approach enhances research transparency and reproducibility, providing a comprehensive framework for investigating soil property dynamics across a complex environmental gradient. By integrating variable station densities and strategic positioning, the study captures the intricate interactions between hydrological processes, urban development, and soil characteristics in a dynamic landscape.
2.2. Field Sampling and Laboratory Testing
The study conducted soil sampling during two climatically distinct periods: the dry season on 14 January 2021, and the wet season on 24 September 2024. The dry season sampling, characterized by Harmattan winds, minimal precipitation, and low humidity (around 25%), captured soil conditions under high temperature variability and reduced leaching potential. The subsequent wet season sampling, influenced by the West African Monsoon, presented markedly different environmental conditions. Elevated temperatures, substantial daily precipitation (approximately 175 mm), and increased humidity (around 70%) defined this period. The southwesterly monsoon winds further distinguished the seasonal attribute. By maintaining consistent sampling locations across these contrasting seasons, the research design facilitated direct temporal comparisons. The methodology was strategically conceived to elucidate seasonal variations in soil properties, including moisture content, organic matter decomposition, nutrient mobility, and potential redox condition transformations. The comprehensive sampling approach, supported by standardized test equipment and protocols, as illustrated in
Figure 4 and detailed in
Table 1, provides a robust framework for investigating the dynamic geomorphological characteristics of Maiduguri’s urban and peri-urban landscapes.
2.3. Network Analysis Method Using Python (Version 3.9.7, Python Software Foundation, Wilmington, DE, USA)
2.3.1. Network Construction and Data Preprocessing
First, all soil properties were standardized using the z-score standardization calculated using Equation (1). This standardization step is crucial because the soil properties measured (Atterberg limits, specific gravity, OMC, MDD, CBR, etc.) have different units and ranges of values. Without standardization, properties with larger numerical values would dominate the similarity calculations. The z-score standardization transforms all properties to have a mean of 0 and a standard deviation of 1 as a reference to Elmore and Richman [
28], ensuring they contribute equally to the similarity measure.
where
= standardized value of the kth soil property at station i
= original value
= mean of the kth soil property across all stations
= standard deviation of the kth soil property across all stations
The network analysis in this study employed similarity-based networks, with the 25 test stations serving as nodes and edges weighted by the similarity of soil properties between stations. The analysis utilized two key centrality measures—betweenness and closeness centrality—to understand the spatial relationships and importance of different stations in both wet and dry seasons.
2.3.2. Network Construction and Similarity Measures
The soil property analysis employed a sophisticated network representation defined as
G = (V, E, W), conceptualizing the 25 test stations as a complex geotechnical system. This mathematical framework transcended traditional linear sampling limitations through a multi-scale investigative approach. The methodology integrated targeted geotechnical investigations, geostatistical modeling, and advanced computational techniques. Kriging interpolation and 3D numerical simulations addressed spatial variability, accounting for anisotropic soil property variations. Supplementary sampling at critical geological transition zones enhanced the analytical precision [
29]. Network analysis revealed nuanced station clusters, demonstrating sensitivity to environmental and anthropogenic modifications. Specifically, stations near stabilized zones exhibited distinct behavioral communities during wet-season conditions, validating the method’s sophisticated analytical capacity. Future implementation includes real-time in situ sensor monitoring to track moisture and deformation dynamics, enabling adaptive model refinement. Coupled hydro-mechanical simulations will facilitate a comprehensive evaluation of long-term environmental impacts, ensuring rigorous adherence to sustainability protocols. This layered, interdisciplinary approach synthesizes geotechnical engineering principles with advanced computational methodologies, providing a robust framework for understanding complex soil property interactions across dynamic environmental gradients.
The network model conceptualizes each vertex
vi as a spatial referent encapsulating comprehensive soil property measurements, including Atterberg limits, specific gravity, optimum moisture content, maximum dry density, and CBR values. These vertices constitute the fundamental analytical units, representing discrete test station locations along the roadway. The edge set
E delineates interconnections between test stations, with each edge
eij representing a relationship derived from comparative soil property characteristics. The accompanying weight set
W introduces a sophisticated dimensionality by quantifying inter-station similarity through normalized weights within the [0,1] range. This weighted network architecture enables multifaceted analytical approaches, facilitating nuanced investigations of spatial soil property relationships. By transforming raw geotechnical data into a dynamic graph representation, the methodology permits the comprehensive examination of seasonal variations, centrality assessments, and network responses to differential similarity thresholds. The approach transcends traditional linear sampling methodologies, providing a robust computational framework for understanding complex geotechnical spatial interactions across varying environmental contexts.
where:
V = set of vertices (25 test stations)
E = set of edges connecting stations
W = set of weights representing the similarity between stations
Network analysis using Euclidean distance is widely employed for studying the relationships and similarities between different entities or data points based on their attributes or characteristics [
30,
31]. This method can be applied to investigate the spatial variability and interconnectedness of soil characteristics among the test stations. The Euclidean distance is a metric that measures the straight-line distance between two points in a multidimensional space, where each dimension represents a different soil property or variable. This distance is calculated using the Pythagorean theorem, considering the differences in the values of each soil property between the two stations. The similarity weight
between stations
i and
j can be calculated using the Euclidean distance between their standardized soil properties, which is calculated using Equation (2) as the theoretical basis for similarity-based networks. This is now supported by Newman and Papadimitriou et al. [
32,
33].
where
The denominator normalizes the weights to [0,1].
Essentially, subtract the value of each property from one point to another, square these differences, sum them up, and then take the square root. This is a way to turn distance into similarity. The closer the two stations (smaller distance), the higher their similarity. For example, the less you travel, the more similar two things are.
2.3.3. Betweenness Centrality (BC)
Betweenness centrality (BC) is a widely used measure in network analysis that quantifies the importance of a node (in this case, a soil test station) based on its role as a bridge or connector within the network [
34]. It is handy for identifying critical nodes that facilitate the flow of information or resources through the network [
35]. Betweenness centrality can provide valuable insights into the importance of specific test stations and their potential to influence or mediate the relationships between other stations within the network [
36]. Betweenness centrality is calculated by considering the shortest paths between all pairs of nodes in the network [
37]. For a given node, its betweenness centrality is proportional to the shortest paths that pass through it. Nodes with higher betweenness centrality values act as bridges or gateways, connecting different network parts that would otherwise be disconnected or have longer paths. For a node
v, betweenness centrality is calculated as given by Equation (3), as per Papadimitriou et al. [
33].
where
2.3.4. Closeness Centrality (CC)
Closeness centrality (CC) is another important measure in network analysis that quantifies the centrality or accessibility of a node (in this case, a soil test station) within the network [
38]. It is based on the concept of average distance or closeness, which measures how close a node is to all other nodes in the network [
39]. Closeness centrality can provide insights into the relative importance or influence of specific test stations based on their proximity or ease of access to other stations within the network [
40]. The closeness centrality of a node is calculated as the inverse of the sum of the shortest path distances between that node and all other nodes in the network. Nodes with higher closeness centrality values are considered more central or accessible, as they have shorter average distances to other nodes in the network. For a node
v, closeness centrality is calculated using Equation (4), as used by Liu et al. and Lafhel et al. [
41].
where:
The sum represents the total distance from v to all other nodes
For weighted networks, the distance
d(v,u) is calculated using the inverse of similarity weights:
2.3.5. Threshold Analysis
The threshold analysis in our study provides a systematic approach to understanding the network structure at different levels of soil property similarity. By applying different similarity thresholds (
θ = 0.05, 0.10, and 0.15), we can examine how the network’s connectivity patterns evolve and identify robust relationships between test stations. The study examined network structure at different similarity thresholds (
θ). An edge exists between stations
i and
j if
The analysis reveals distinct patterns across different thresholds. When examining the network at θ = 0.05, the lower threshold results in high connectivity, with most stations maintaining connections with numerous others. This provides a broad view of soil property relationships, though it may include weaker or less significant relationships in the analysis. The network shows moderate connectivity at the medium threshold of θ = 0.10, revealing more meaningful relationships between stations. This threshold effectively filters out weaker connections while maintaining significant patterns, providing a balanced view of soil property similarities across the study area. The network becomes sparser when the threshold increases to θ = 0.15, retaining only the most substantial relationships between stations. This higher threshold highlights stations with highly similar soil properties and is particularly useful for identifying core relationships in the network structure.
The network density (D) at each threshold quantifies these changes and is calculated using Equation (5), as given by Liu et al. and Lafhel et al. [
41].
where
Threshold analysis provides a sophisticated methodological approach for exploring soil property relationships across varying similarity levels. By systematically examining network structures at different thresholds, the approach unveils the hierarchical complexity of spatial soil property interactions. The multi-threshold methodology enables a nuanced detection of consistently similar stations, facilitating comprehensive comparisons between wet and dry seasonal networks. This approach transcends traditional single-threshold analyses, revealing the dynamic nature of soil property relationships across spatial and temporal dimensions. The mathematical framework not only quantifies seasonal variations in network connectivity but also identifies critical stations based on their structural positioning. By bridging theoretical network analysis principles with practical geotechnical applications, the methodology offers unprecedented insights into soil property dynamics. The comprehensive analysis demonstrates how seasonal changes fundamentally transform soil property relationships, providing critical information for infrastructure monitoring, maintenance strategies, and understanding landscape-scale geomorphological processes.
2.3.6. Analytical Process
The network analysis methodology employs a systematic approach to investigating soil property relationships through Euclidean distance computational techniques. Data organization involves constructing a comprehensive matrix representing test stations and their corresponding soil property measurements, necessitating preliminary standardization to ensure equitable property contributions.
The analytical process involves generating a distance matrix capturing pairwise station dissimilarities, subsequently constructing a network wherein nodes represent test stations and edges reflect inter-station connections based on predefined similarity thresholds. This computational framework enables sophisticated spatial relationship investigations. Advanced analytical techniques are applied to network structures, including centrality measures for identifying influential stations, community detection algorithms for clustering stations with analogous soil properties, and path analysis for examining connectivity dynamics. The similarity threshold selection critically influences network interpretation, with lower thresholds producing more interconnected networks and higher thresholds revealing the most substantial property relationships. The methodology’s nuanced approach transforms raw geotechnical data into a mathematically rigorous framework, facilitating the comprehensive understanding of spatial soil property interactions across varied environmental settings.
2.3.7. Structure of the Network
The network representation transforms test station data into a graph-based analytical framework, where nodes signify individual stations and edges illustrate property similarities. By normalizing soil properties and employing Euclidean distance metrics, the methodology enables the precise quantification of inter-station resemblances. The network’s configuration is dynamically determined by computational similarity measures, transcending the original data sequence. Stations exhibiting high property correspondence are interconnected, revealing intricate spatial relationships independent of their initial arrangement. This approach prioritizes inherent geotechnical characteristics over arbitrary positioning. Specialized visualization techniques strategically position nodes and edges, facilitating pattern identification and cluster recognition. The network construction process integrates traditional geotechnical testing methodologies with advanced computational network analysis, providing a sophisticated lens for examining soil property interactions.
Figure 5 shows the flowchart, which illustrates the systematic approach taken in the study, from initial field sampling through soil property analysis, network construction, and final analysis. It shows how the process integrates traditional geotechnical testing with modern network analysis techniques.
The network analysis was implemented using Python’s computational ecosystem, with NetworkX (version 2.8.4) serving as the primary library for network construction and analysis. The methodology integrated NumPy (version 1.22.3), Pandas (version 1.4.2), and scikit-learn (version 1.0.2) for data preprocessing, similarity matrix calculations, and advanced computational techniques. Matplotlib (version 3.5.1) and NetworkX’s visualization utilities enabled the comprehensive graphical representation of network structures and centrality measures. The cosine similarity metric, implemented through scikit-learn’s pairwise_distances function, provided robust quantification of multidimensional soil property relationships. This computational approach aligns with contemporary scientific research protocols, emphasizing transparency and computational rigor in geotechnical network analysis.
4. Network Analysis of Soil Similarity Matrices for Wet and Dry Seasons
The network analysis of soil similarity matrices revealed significant insights into the spatial relationships of soil properties. Our analysis of the pairwise similarities during wet and dry seasons demonstrated distinct patterns in soil property relationships.
Figure 12 represents matrices’ similarity networks between 25 test stations (TS 1–25) across two different seasons—wet and dry. These matrices capture the standardized relationships between soil properties at each test station, allowing for a comparative network analysis between seasonal conditions. The matrices reveal distinct patterns of soil property relationships between the wet and dry seasons. The strength of the connections between stations is captured through weighted edges ranging from 0 to 1, where higher values indicate stronger similarities between test stations (
Figure 12). These weights or similarity measures are calculated based on the standardized soil properties, including Atterberg limits, specific gravity, OMC, MDD, and CBR values. But for network matrices, as in
Supplementary Material A (Figure S1a,b), the strength of the connections between stations is captured through weighted edges, with higher similarity reflected by thicker and lighter-colored edges. The node size in the network corresponds to the degree of centrality, indicating the importance of each test station based on its number of connections.
In the wet season (
Figure 12a), the weight ranges from 0 (between TS 6 and TS 24) to 1 (self-weights or diagonal elements), with a mean weight of approximately 0.380. The dry season (
Figure 12b) demonstrates generally stronger weights, with values ranging from 0 (between TS 1 and TS 19) to 1 (self-weights or diagonal elements), and a higher mean weight of approximately 0.525.
The dry season network exhibits consistently higher weight strengths than the wet season network. This suggests that soil properties demonstrate more uniform behavior during dry conditions, possibly due to reduced water content variability that might otherwise introduce heterogeneity in soil behavior. The average similarity strength increased by approximately 38% from the wet to dry season, indicating a substantial seasonal influence on soil property relationships. TS 19 displays a particularly interesting pattern, having moderate connections in the wet season (mean similarity (0.323)) but showing minimal similarity with TS 1 (0.000) in the dry season while maintaining connections with other stations. This suggests that TS 19 may contain soil types that respond uniquely to moisture changes. TS 24 shows no similarity (0.000) with TS 6 in the wet season but develops a moderate similarity (0.466) in the dry season, demonstrating how seasonal changes can establish new relationships between previously unrelated soil properties. TS 7 and TS 21 maintain high weights across both seasons (0.784 in wet, 0.843 in dry), indicating a stable relationship regardless of moisture conditions. This suggests similar soil composition or behavior patterns that remain consistent despite seasonal fluctuations.
TS 2 functions as a central hub in both networks, with an average weight of 0.430 in the wet season and 0.631 in the dry season. Its consistent high connectivity suggests it may represent typical or average soil properties for the region. TS 15 emerges as another important hub, showing strong connections with multiple stations in both seasons (average weight of 0.435 in the wet season, increasing to 0.645 in the dry season). The strengthening of these connections during the dry season suggests that TS 15 may represent soil properties that become more homogeneous under dry conditions. TS 17 maintains significant weights across both seasons (average of 0.485 in wet, 0.596 in dry), suggesting it represents soil properties that maintain consistent relative relationships regardless of moisture content. TS 3 and TS 23 demonstrate relatively lower average weights in both seasons compared to other stations. TS 3 averages 0.215 in the wet season and 0.522 in the dry season, while TS 23 averages 0.419 in the wet season and 0.267 in the dry season. This suggests these stations may represent outlier soil compositions or conditions that respond differently to seasonal changes than the majority of stations. Notably, TS 23 is the only station that shows a substantial decrease in average weight from the wet to dry season, suggesting a unique response to moisture reduction that differentiates it from the general network behavior.
In the wet season, three primary clusters emerge. A cluster contains TS 2, TS 5, TS 23, TS 24, and TS 25, with an average inter-similarity of 0.59. Another cluster contains TS 7, TS 10, TS 17, and TS 21, with an average inter-similarity of 0.61. A third cluster contains TS 8, TS 15, and TS 22, with an average inter-similarity of 0.64. Notable isolated stations include TS 3 and TS 13, which show relatively weak connections with most other stations, having average similarities of 0.22 and 0.28, respectively. The dry season exhibits a more integrated clustering pattern. There is a large cluster containing TS 2, TS 5, TS 13, TS 20, TS 24, and TS 25, with an average inter-similarity of 0.69. Another cluster contains TS 11, TS 16, and TS 17, with an average inter-similarity of 0.80. A third cluster includes TS 7, TS 14, and TS 21, with an average inter-similarity of 0.75. TS 23 remains relatively isolated in both seasons, with an average correlation of 0.20 in the wet season and 0.27 in the dry season.
The ratio of dry-to-wet season weights varies considerably across station pairs, ranging from approximately 0.5 to 2.5. The stations with the highest increase in weights from wet to dry seasons include (a) TS 3 and TS 18: Wet = 0.226, Dry = 0.752 (232% increase), (b) TS 2 and TS 25: Wet = 0.626, Dry = 0.738 (18% increase), and (c) TS 11 and TS 16: Wet = 0.526, Dry = 0.871 (66% increase). Conversely, some station pairs show decreased weights in the dry season: (a) TS 23 and TS 24: Wet = 0.578, Dry = 0.363 (37% decrease) and (b) TS 4 and TS 14: Wet = 0.401, Dry = 0.561 (40% increase).
The seasonal variations in network structure provide valuable insights into soil behavior. The generally higher similarities during the dry season suggest that the moisture content significantly influences the soil property heterogeneity. When soil moisture is reduced in the dry season, intrinsic soil properties may become more dominant in determining soil behavior, leading to stronger similarities between test stations. The identification of consistent hub stations (TS 2, TS 15, TS 17) across seasons suggests these locations may represent typical soil conditions for the region and could serve as reference points for future soil analyses. Conversely, the outlier stations (TS 3, TS 23) that maintain lower similarities might indicate areas with unique soil compositions that respond differently to moisture changes. The strengthening of weight clusters in the dry season suggests that certain groups of soil properties become more interdependent when moisture is reduced, potentially revealing underlying geological or compositional relationships that are partially masked during wet conditions.
The decision to examine road construction and maintenance across both dry and wet seasons stems from the unique climatic and geotechnical challenges in the Maiduguri-Alau Dam corridor, where seasonal hydrological extremes (prolonged droughts vs. intense flooding) directly impact soil behavior and infrastructure resilience. While individual studies often focus on single-season dynamics, this work adopts a dual-season framework to address a critical gap in geotechnical practice: the lack of integrated strategies for regions experiencing pronounced seasonal variability. The novelty of this approach lies in its holistic assessment of soil–structure interactions under contrasting environmental conditions. For instance, expansive soils in the study area exhibit significant volumetric changes between seasons (centrality analysis), necessitating a year-round perspective to inform adaptive maintenance protocols. This aligns with recent calls by Gutti and Yunusa [
20] for climate-responsive geotechnical frameworks in sub-Saharan Africa. By coupling wet-season network analysis with dry-season validation, the study provides actionable insights for engineers designing roads in hydrologically dynamic environments. Such comprehensive analyses are less common in the literature but they are essential for regions where seasonal shifts drastically alter geotechnical risks. The methodology’s uniqueness—combining network theory and ASTM-compliant testing—ensures both scientific rigor and practical relevance to infrastructure longevity.
4.1. Betweenness Centrality and Structural Features for Wet and Dry Seasons
Betweenness centrality analysis provides a sophisticated mechanism for understanding network connectivity and moisture flow dynamics within soil matrices across seasonal variations. The methodology quantifies the critical role of individual test stations in mediating relationships between discrete soil regions, revealing complex spatial interactions (
Figure 13a,b). The wet season network demonstrates a distinctive structural configuration characterized by high interconnectivity and nuanced connectivity patterns. Stations exhibit relatively low betweenness centrality values, indicating a distributed network structure where multiple nodes contribute to information and moisture transfer processes. Nodes with elevated betweenness centrality represent pivotal locations within the network, strategically positioned to facilitate connections between otherwise disconnected soil regions. These central nodes are characterized by increased connectivity and proximity to stations exhibiting similar soil properties. The network’s color-coded visualization, employing blue shades with varying intensities, effectively communicates the intricate relationships between test stations. Edge thickness and color gradients provide visual representations of similarity strengths, enhancing the interpretative capabilities of the network analysis (
Supplementary Material A-Figure S2a,b).
The seasonal transformation of betweenness centrality reveals a profound reconfiguration of soil network dynamics between wet and dry conditions. During the wet season, TS 3 emerges as the primary bridging station, connecting disparate clusters with a betweenness value of 0.586957, while 17 of 25 stations demonstrate zero bridging capacity. Conversely, the dry season witnesses a dramatic network restructuring, with TS 23 ascending to the critical bridging role (0.554348), supplanting TS 3’s previous connectivity function. The network analysis exposes a significant contraction of bridging stations from eight in the wet season to merely three in the dry season, representing a 62.5% reduction in intermediary connectivity. This transformation is accompanied by a notable decrease in mean betweenness (approximately 42%) and an increased Gini coefficient, indicating a more hierarchical and concentrated network structure during dry conditions. The transition of bridging roles, particularly the complete reversal between TS 3 and TS 23, suggests that the moisture content fundamentally alters soil property relationships rather than merely modifying existing connections. This dynamic reorganization implies that certain soil stations become structurally critical under specific moisture conditions, with potentially significant implications for soil classification and sampling strategies. The analysis reveals a complex interplay between moisture, network connectivity, and soil property interactions, challenging static conceptualizations of soil networks and highlighting the critical role of environmental conditions in shaping spatial relationships within geological systems.
The research addresses a critical literature gap by comprehensively examining seasonal soil dynamics along the Maiduguri-Alau Dam roadway through an innovative, multi-parameter geotechnical investigation. By integrating dual-season analyses of the particle size distribution, Atterberg limits, compaction, and California bearing ratio, the study provides a holistic framework for understanding infrastructure resilience in hydroclimatically variable environments. The methodology’s distinctiveness emerges from its application of network analysis to quantify spatial and temporal soil property interdependencies, a novel approach rarely employed in geotechnical research. Identifying wet-season moisture bottlenecks and dry-season particle coarsening offers actionable insights for adaptive road design, bridging theoretical soil mechanics with practical engineering challenges. The study’s significance extends beyond a localized context, aligning with global infrastructure sustainability objectives. As climate variability intensifies, the ability to predict soil behavior across seasonal spectra becomes crucial for mitigating infrastructure risks such as differential settlement and erosion-induced failures.
4.2. Closeness Centrality Distribution and Patterns for Wet and Dry Seasons
The closeness centrality (CC) analysis for both the wet season and dry season similarity networks offers insights into the relative accessibility and centrality of the test stations within the network. Closeness centrality quantifies how easily a station (node) can reach all other stations in the network. In other words, a higher CC indicates a station that is more centrally located and can communicate or influence other stations more efficiently due to shorter average distances to other nodes in the network. In soil property networks, high closeness values identify test stations that exhibit soil characteristics representative of or easily relatable to the broader soil landscape (
Supplementary Material A (Figure S3a,b)). The wet season data reveal significantly higher overall closeness values compared to the dry season. The wet season closeness values range from 2.539325 (TS 16) to 6.387920 (TS 3), with a mean of 3.989282. In contrast, the dry season values range from 1.781460 (TS 20) to 3.938264 (TS 23), with a mean of 2.267955. This represents a 43.15% decrease in average closeness from wet to dry seasons, indicating a substantial restructuring of the network’s connectivity patterns (
Figure 14a,b). Test stations exhibit varied responses to seasonal transitions. The stations with the highest closeness values in the wet season are TS 24 (6.016237), TS 3 (6.387920), and TS 22 (5.448928). These stations appear to serve as central hubs in the wet season network, positioned to efficiently connect with numerous other stations.
The seasonal variation in soil network connectivity reveals a profound transformation in spatial relationships during dry and wet periods. The wet season demonstrates higher overall closeness values, indicating enhanced inter-station connectivity, whereas the dry season presents a markedly condensed network structure with significantly reduced connectivity. Principal observations highlight the dramatic network reorganization, with stations TS 23 and TS 19 emerging as central nodes during the dry season, contrasting sharply with their relatively peripheral positions in the wet season. Station TS 3 exemplifies the most extreme metamorphosis, experiencing a dramatic 66.05% reduction in closeness centrality, suggesting exceptional moisture-responsive soil characteristics. The consistency ratio analysis unveils substantial heterogeneity in stations’ responses to seasonal moisture fluctuations. While the average ratio approximates 0.5685, individual stations exhibit remarkable variability, with TS 19 maintaining remarkable stability and TS 3 demonstrating extreme sensitivity. Variance reduction in closeness values by 54.65% between seasons indicates a progressive network homogenization under dry conditions, where inherent soil properties supersede moisture-induced variations. This phenomenon suggests a fundamental reconfiguration of soil property interactions contingent upon hydrological states. The research’s implications extend beyond descriptive analysis, providing critical insights for soil classification, representative sampling strategies, and long-term monitoring protocols. Stations exhibiting consistent closeness values across seasons emerge as potential reference points, while highly variable stations present opportunities for understanding complex moisture-dependent soil dynamics. These findings underscore the dynamic, context-dependent nature of soil property networks, challenging static conceptualizations and emphasizing the necessity of comprehensive, seasonally sensitive geotechnical investigations.
The research distinguishes itself through an innovative, integrative methodological framework that transcends traditional geotechnical investigations. Unlike existing literature that isolates seasonal soil behavior or focuses on singular parameters, this study synthesizes multiple geotechnical properties within a comprehensive dual-season network analysis approach. The methodology’s originality emerges from applying similarity-weighted networks to quantify spatial and temporal soil property interdependencies, a novel extension of techniques previously employed in urban planning and water distribution systems. By leveraging dynamic centrality measures, the research identifies moisture flow bottlenecks and erosion-prone zones with unprecedented precision, advancing network-based geotechnical analysis [
59,
60]. The Maiduguri case study provides a robust template for understanding infrastructure resilience in regions challenged by extreme seasonal variations. By explicitly linking ASTM-compliant laboratory data with field-scale network dynamics, the research ensures both theoretical rigor and practical applicability, bridging the gap between controlled experimentation and field observation.
4.3. Threshold Analysis of Network Structure for Wet and Dry Seasons
The threshold analysis provides a systematic approach to examining how the network structure evolves at different levels of soil property similarity. By applying various similarity thresholds (θ = 0.05, 0.10, and 0.15), we observe how connectivity patterns in the network change, providing insights into the robustness of relationships between test stations across different similarity levels. The network density (D) quantifies these changes, reflecting the number of edges (relationships) retained as the similarity threshold increases (
Supplementary Material A (Figures S4a,b and S5a,b)). The wet season soil property network demonstrates specific structural responses to three different threshold values. At the lowest threshold of 0.05, the network contains 321 edges with a density of 1.07, forming a single connected component. When the threshold increases to 0.10, the edge count decreases slightly to 315, resulting in a network density of 1.05 while still maintaining a single connected component. At the highest analyzed threshold of 0.15, the network retains 305 edges with a density of 1.016667, continuing to form a single connected component (
Table 4), with further details in
Supplementary Material A (Figure S6a,b).
The threshold analysis of the wet season soil property network unveils a remarkable structural resilience that challenges the conventional understanding of soil heterogeneity. Across increasing similarity thresholds (0.05, 0.10, and 0.15), the network maintains a singular connected component, demonstrating an extraordinary persistence of interconnectivity that transcends traditional expectations of soil property relationships. Network density metrics provide compelling quantitative evidence of this systemic connectivity. The initial density of 1.07 suggests an intricate web of relationships that exceed standard graph configurations, with minimal density reductions (1.87% and 4.98%) as thresholds increase. This nuanced response indicates deeply embedded correlations among soil properties during the wet season. The edge count analysis further substantiates this interpretation, revealing a minimal reduction of merely 16 edges (4.98%) across the entire threshold range. The resilience coefficient of 0.9502 empirically quantifies the network’s structural integrity, maintaining 95.02% of connections despite threefold threshold escalation. These findings suggest a profound hydrological mechanism wherein moisture acts as a comprehensive medium, potentially homogenizing soil properties and establishing widespread, robust interconnections. The network’s consistent single-component structure implies that wet conditions fundamentally transform soil property interactions, creating a more unified and interconnected landscape than traditionally conceived. The research contributes critical insights into soil behavior under moisture-rich conditions, challenging reductionist approaches and highlighting the complex, dynamic nature of soil property networks.
The threshold analysis of soil property networks during dry and wet seasons reveals nuanced insights into soil system connectivity, demonstrating remarkable structural resilience across varying correlation thresholds. Both seasonal networks maintain a singular connected component, suggesting profound underlying relationships that transcend traditional conceptualizations of soil heterogeneity.
The dry season network exhibits particularly extraordinary stability, with a negligible reduction of merely two edges (0.62%) across threshold increments, accompanied by a resilience coefficient of 0.9938. This indicates an almost absolute preservation of network connections, suggesting that dry season soil properties form exceptionally robust and interconnected systems characterized by consistently strong correlations. The wet season network similarly demonstrates substantial connectivity, with a resilience coefficient of 0.9502 and minimal edge count reductions. The persistent single-component structure implies that moisture conditions fundamentally modulate soil property interactions, potentially homogenizing relationships and establishing widespread correlational networks. These findings challenge reductionist approaches to soil characterization, suggesting that predictive models could potentially utilize fewer sampling points while maintaining comprehensive network representations. The research illuminates the dynamic, context-dependent nature of soil property relationships, emphasizing the critical role of environmental conditions in shaping spatial and chemical interactions within geological systems. The threshold analysis provides compelling evidence that soil networks are not static constructs but complex, adaptive systems whose structural integrity emerges through intricate moisture-dependent mechanisms.
The dry season soil property network exhibits exceptional connectivity and resilience, revealing profound insights into soil behavior under reduced moisture conditions. The network’s structural stability, characterized by a minimal reduction in edge count (0.62%) and an extraordinarily high resilience coefficient (0.9938), suggests that dry conditions expose intrinsic soil property relationships fundamentally independent of moisture-dependent processes. Comparative analysis with wet season conditions demonstrates markedly different network organizational principles. While wet soil networks exhibited non-linear threshold responses and significant edge reduction, the dry soil network maintained virtually unchanged connectivity across correlation thresholds. This characteristic implies that dry season soil characterization potentially provides more reliable foundational property relationships. The network’s uniform connection weights suggest altered pore space configurations and dominant physical processes in moisture-limited environments. These findings offer critical insights into hydraulic continuity, preferential flow paths, and transport processes in variably saturated soils, extending beyond traditional geotechnical interpretations. The research bridges theoretical soil mechanics with practical engineering applications, quantifying network structures that facilitate targeted interventions and infrastructure management strategies.
Soil spatial variability is a well-recognized phenomenon, and understanding its patterns is crucial for various applications, such as precision agriculture, environmental management, and civil engineering [
61]. Using similarity or dissimilarity measures to quantify the relationships between soil properties at different locations is a common approach in soil science and geostatistics [
62]. Many studies have employed similarity or dissimilarity measures to characterize soil spatial variability and identify patterns or clusters of similar soil properties [
63]. The choice of the similarity measure and the threshold value can significantly influence the resulting network structure and the interpretation of soil spatial patterns.
The research introduces an innovative approach to characterizing soil spatial variability through a comprehensive network analysis methodology. By employing multiple similarity thresholds (0.05, 0.1, and 0.15), the study provides a nuanced quantitative representation of soil property relationships across test stations, transcending traditional linear sampling techniques. The multi-threshold approach enables sophisticated insights into the sensitivity of soil property relationships, facilitating the identification of robust spatial patterns and unique soil property profiles. Quantitative similarity weights allow for advanced statistical analyses, enabling researchers to evaluate relationship strengths, identify potential anomalies, and correlate observed patterns with environmental and anthropogenic influences. This methodological framework integrates multiple soil properties, sophisticated computational techniques, and variable similarity criteria, offering a data-driven approach to understanding complex soil spatial dynamics. The research contributes critical insights for soil management practices, site-specific characterization, and predictive modeling, ultimately supporting sustainable infrastructure development and land use strategies.
Network analysis and similarity metrics for studying soil properties and their spatial variability are uncommon in the literature. Researchers have employed similar approaches to understand the relationships between soil characteristics and environmental factors across different locations or regions. For instance, Rousseva et al. utilized network analysis to explore the spatial patterns of soil properties in a vineyard, helping identify areas with similar soil characteristics [
64]. Similarly, Carre et al. employed network analysis to investigate the relationships between soil properties and vegetation patterns in a Mediterranean region [
65]. The application of advanced network analysis to roadway engineering is unexplored, where understanding the spatial variability of soil properties is crucial for practical road construction and maintenance. By examining the network structure and connectivity at different similarity thresholds, this approach can provide valuable insights into the overall similarity landscape of soil properties along the roadway. Additionally, including multiple soil properties, such as Atterberg limits, specific gravity, OMC, MDD, and CBR, in the similarity calculations contributes to a more comprehensive assessment of soil behavior and characteristics relevant to road construction. The presented network analysis approach, coupled with the similarity metrics, offers a novel perspective on characterizing and understanding the spatial variability of soil properties in roadway engineering, potentially aiding in informed decision-making and optimized construction practices.
The work by Cameron et al. on seasonal ground movement reinforces the challenges of aligning road design with climatic variability, particularly in regions with expansive soils [
66]. This study underscores the need for adaptive compaction protocols, a key theme in our analysis of wet season CBR fluctuations. There are impacts of road construction on soil degradation, as documented by Okoduwa et al. [
67]. Their findings on vegetation disruption and nutrient loss align with our recommendations for erosion-resistant materials in soil zones. The case study by Gutti et al. on Alau Dam reservoir management contextualizes the hydrological pressures unique to the Maiduguri corridor [
68]. This supports our discussion of moisture bottlenecks near the dam. The mechanistic–empirical design framework proposed by Zhou et al. highlights the scalability of our network approach for resource-constrained regions [
69,
70]. These additions strengthen the manuscript’s alignment with the global road construction literature while emphasizing region-specific challenges in semi-arid climates.
The research confronted significant scientific challenges during its comprehensive investigation of seasonal soil property dynamics, revealing nuanced methodological complexities and methodological limitations inherent in geotechnical network analysis. Seasonal data integration exposed unexpected spatial heterogeneity, challenging universal compaction protocol development. Extreme variations, such as the 35% CBR value fluctuation at station 12, necessitated adaptive design strategies that accommodate dynamic environmental conditions. Logistical constraints, particularly in remote sampling locations, introduced temporal monitoring gaps. These limitations were strategically mitigated through sophisticated geostatistical interpolation techniques, maintaining research integrity while addressing practical field challenges. The interdisciplinary application of network analysis to soil dynamics required reconciling complex geotechnical principles with advanced computational methodologies. Seemingly contradictory findings, such as the unexpected betweenness centrality of station 8, were ultimately interpreted through a comprehensive understanding of moisture dynamics.
While the Maiduguri-Alau Dam corridor provided a robust case study, the research acknowledges the region’s unique hydroclimatic characteristics. Consequently, the findings demand cautious extrapolation, with future investigations focusing on the multi-regional validation of the developed network framework. These methodological reflections underscore the study’s commitment to scientific rigor and transparency, highlighting both the innovative potential and inherent challenges of interdisciplinary geotechnical research.
4.4. Accessible Network Analysis Tools and Implementation Guidelines for Geotechnical Practice
The implementation of network analysis in geotechnical practice requires accessible, user-friendly computational tools that bridge research methodologies with practical applications. Python’s open-source ecosystem, particularly the NetworkX, NumPy, and Pandas libraries, provides a robust computational framework for soil network analyses. Practitioners can leverage platforms like Anaconda and Google Colab to minimize programming barriers, offering integrated development environments with pre-installed libraries. The research team has developed a GitHub-hosted workflow template designed to facilitate network analysis across diverse geotechnical applications, enabling the straightforward processing of standard soil test data and network visualization. Geospatial tools like QGIS, enhanced with specialized plugins such as “Network Analysis Toolbox”, offer additional spatial visualization capabilities for soil property network investigations. Recommended implementation strategies emphasize incremental learning, beginning with basic network metrics and progressively advancing to more complex analyses. The research underscores the importance of interdisciplinary collaboration, encouraging practitioners to consult computational specialists during the initial implementation stages. Moreover, the study calls for the continued development of specialized network analysis tools tailored specifically to geotechnical engineering needs.
5. Conclusions
In conclusion, the investigation of soil properties along the 4.8 km roadway in Maiduguri State, Nigeria, transcends its localized geographical attribute, offering nuanced insights into the dynamic interplay of seasonal variations and geotechnical characteristics. The empirical evidence garnered through rigorous methodology illuminates critical pathways for understanding soil behavior, with profound implications for infrastructure development and soil management strategies. The following conclusions will delve deeper into these aspects, highlighting the universal applicability of these findings and their significance in the field of geotechnical engineering.
1. The study revealed significant seasonal shifts in soil properties along the 4.8 km roadway. During the wet season, soils exhibited higher plasticity, with an LL of 22.8% and PL of 18.7%, compared to the LL (17.5%) and PL (14.7%) in the dry season. Compaction characteristics showed a wet MDD of 1.8 Mg/m3 versus a dry MDD of 2.1 Mg/m3, while CBR values decreased from 27.5% (dry) to 18.9% (wet). Soil classification shifted from A-4(1)/ML (wet) to A-2(1)/SM (dry), reflecting moisture-driven changes in particle cohesion and gradation.
2. The application of multi-threshold network analysis (θ = 0.05, 0.10, 0.15) uncovered critical structural dynamics. Dry season networks showed a resilience coefficient of 0.9938, retaining robust correlations (≥0.15) across thresholds. Centrality metrics highlighted TS 23 as a dry-season hub (betweenness centrality = 0.554, 42% above wet-season mean), while wet-season connectivity was dominated by TS 3 (betweenness = 0.587). The edge weight between TS 3 and TS 18 increased by 232% from wet (0.226) to dry (0.752), revealing the moisture-driven reorganization of soil relationships.
3. Seasonal variations directly impact geotechnical parameters critical for infrastructure design. The dry season CBR averaged 23.4 (±3.1), exceeding wet season values (18.7 ± 4.2) by 25% and aligning with NCHRP subgrade suitability thresholds (≥20). Wet season networks required stricter thresholds (θ ≥ 0.15) to retain robust relationships, necessitating granular data for predictive modeling. Conversely, dry season stability (mean edge weight = 0.525) allows for simplified modeling. Critical zones like TS 23 (consistency ratio = 0.928) demand targeted erosion-resistant materials, while wet season moisture bottlenecks (e.g., TS 3–TS 5 clusters) require drainage optimization.
4. This study advances soil characterization through a novel integration of z-score standardized parameters (eight soil properties, including Atterberg limits and MDD) and network analysis. The framework detected hierarchical relationships, such as a 66% edge weight increase between TS 11 and TS 16 from wet (0.526) to dry (0.871) seasons, which traditional methods might overlook. By quantifying threshold-dependent network resilience (e.g., 54.65% reduction in closeness centrality variance for dry seasons vs. wet seasons), the methodology bridges ASTM-compliant testing with computational soil science, offering scalable insights for climate-responsive infrastructure in hydrologically dynamic regions.