First, multisource data, including remote sensing imagery, topographic data, meteorological data, socioeconomic statistics, and other geospatial vector data, were integrated. Guided by the DPSIRM (Driver–Pressure–State–Impact–Response–Management) framework and considering the typical disturbance characteristics of open-pit mining and waste residue accumulation in the study area, a total of 17 ecological-security evaluation indicators were selected.
Second, based on constant weights, variable weight theory was introduced to construct a state variable weight function dominated by penalty effects. Indicator weights were dynamically adjusted to improve the model’s ability to identify ecological vulnerability and abrupt risks in mining areas.
Subsequently, the standardized indicator values were integrated with the dynamic weights to establish a comprehensive ecological-security evaluation model. This model was used to quantitatively assess the ecological-security levels of the study area in 2010, 2015, 2019, and 2024, and to reveal their spatiotemporal evolution patterns.
Finally, the geographic detector model was applied to analyze the main driving factors of spatial differentiation in ecological security and their interactions, thereby clarifying the mechanisms underlying ecological-security changes at different stages of mining development.
2.3.1. Construction of the Ecological-Security Indicator System and Evaluation Model for Lithium Mining Areas
The DPSIRM (Driver–Pressure–State–Impact–Response–Management) model is a conceptual framework that has gradually evolved from earlier models such as PSR, DSR, and PSIR. It emphasizes the causal relationships among resource development, the ecological environment, socioeconomic systems, and management policies. Owing to its broad indicator coverage, the DPSIRM model can comprehensively reflect the evolutionary process of regional ecological security.
The ecosystem of a lithium mining area is a complex system shaped by the interaction of multiple factors and indicators, and the impacts of mineral exploitation on the ecological environment have become increasingly significant and complex. On one hand, driven by the growing demand for lithium resources, human activities such as open-pit mining, road construction, and waste residue accumulation alter the surface environment of mining areas, leading to vegetation degradation, landscape fragmentation, and declines in ecological functions. On the other hand, in response to such habitat degradation, human systems implement ecological restoration measures, such as mine revegetation, and formulate spatial regulation policies to mitigate these impacts.
Given the bidirectional interaction of “development-induced stress–governance feedback” within mining systems, this study introduces the DPSIRM framework to construct a comprehensive ecological-security evaluation indicator system for the Huaqiao Township lithium mining area (
Figure 3). The aim is to quantify the synergistic effects of multiple factors and to provide methodological support for the sustainable development and closed-loop management of the regional ecological environment.
Constructing a scientific and reasonable evaluation indicator system is a prerequisite for accurately assessing ecological security in mining areas. Considering the significant spatial heterogeneity among different regions in terms of natural endowment, ecological background, and socioeconomic characteristics, indicator selection must demonstrate strong regional specificity. Accordingly, this study focuses on the characteristics of high-intensity development and ecological disturbance in the Huaqiao Township lithium mining area and, based on a comprehensive review of previous studies, strictly follows the principles of representativeness, data availability, and dynamic comparability.
Under the DPSIRM framework, a total of 17 key indicators were selected from six system dimensions—Driver (D), Pressure (P), State (S), Impact (I), Response (R), and Management (M)—to systematically construct an ecological-security evaluation indicator system for the lithium mining area (see
Table 2 for details). Specifically, the 17 indicators were chosen to satisfy three criteria simultaneously: theoretical completeness across the six DPSIRM dimensions, sensitivity to the ecological processes characteristic of subtropical mountainous lithium mining (vegetation degradation, landscape fragmentation, soil erosion, and post-mining recovery), and consistent availability across all four assessment years after harmonization to a 30 m evaluation grid. Within this framework, the Driver (D1–D4) and Pressure (P1–P2) layers represent the upstream forcing on the system; the State (S1–S3) and Impact (I1–I4) layers describe the resulting ecological conditions and consequences; and the Response (R1–R2) and Management (M1–M2) layers capture the system’s capacity to buffer and govern these effects.
Within the Driver layer, D3 (elevation) and D4 (slope) are retained as spatial conditioning factors that fix each pixel’s baseline ecological vulnerability—controlling soil thickness, erosion susceptibility, and post-disturbance recovery potential—rather than as temporal change indicators; their explanatory contribution operates primarily through interactions with dynamic indicators (S1, P1) on steep, high-elevation terrain. Within the Management layer, M2 (educational attainment of residents) is included to capture the macro-level social foundation of environmental governance—environmental awareness, regulatory compliance, and community participation in restoration—which the operational indicator M1 (land-use intensity) does not cover.
Within the specific context of this humid subtropical lithium mining area, three attribute assignments warrant brief clarification. Annual precipitation (D1) is assigned a negative direction because, under the high regional precipitation regime, its positive pathway to vegetation is effectively saturated, whereas its negative pathway through rainfall-driven erosion and slope instability on mining-disturbed surfaces remains active. GDP (D2) is treated as a negative driving factor because, within the DPSIRM framework, it serves as a proxy for economic-development intensity and the associated resource-exploitation pressure rather than for well-being per se. Educational attainment of residents (M2) is placed under Management because it operates as a macro-level proxy for environmental-governance capacity—reflecting environmental awareness, regulatory compliance, and community participation in ecological restoration—rather than as a direct management action.
2.3.2. Comprehensive Evaluation Method Based on Variable Weight Theory
- a.
Determination of Constant Weights
Prior to calculating variable weights, it is necessary to determine the constant weights (CWs) of each evaluation indicator, which serve as the baseline for subsequent dynamic adjustment. In this study, the entropy weight method was adopted to determine the constant weights.
The entropy weight method is an objective weighting approach based on information entropy theory. Its core principle is that the weight of an indicator is determined by the degree of variation in its values: the greater the variation, the more information the indicator provides, and thus the higher the assigned weight. The theoretical basis of this method can be traced back to Shannon’s information entropy theory [
23]. By quantifying the information entropy of each indicator, the method objectively reflects the degree of variation in indicator values and reduces, to some extent, the influence of subjective factors on the weighting results.
The specific procedure includes data standardization, proportion calculation, entropy estimation, and weight determination. The calculation results are presented in the
Appendix A.
- b.
Variable Weight Theory
The ecological system of lithium mining areas is influenced by multiple factors, including mineral exploitation, surface disturbance, and ecological restoration, and is therefore characterized by strong dynamics and complexity. In comprehensive ecological-security assessment, constant weight methods generally represent the importance of indicators using fixed weights. Although such methods can reflect the basic contribution of each indicator, they are insufficient to capture the dynamic effects of changes in indicator states on evaluation results. Therefore, it is necessary to introduce variable weight theory to adjust indicator weights dynamically.
Variable weight theory was first proposed by Wang in the 1980s [
24] and has been further developed in subsequent studies. Later, Li systematically examined different forms of variable weighting, including penalty-based, incentive-based, and neutral (non-penalty, non-incentive) types, thereby further expanding its computational framework [
25].
Unlike constant weight models, which only reflect the relative importance of indicators, variable weight theory assumes that indicator weights should also be influenced by their state values and by the combined state of multiple indicators, thereby enabling dynamic weight adjustment. Because it can better capture the influence of abnormal indicators on overall evaluation results in complex systems, this method has been widely applied in comprehensive resource and environmental assessments.
Accordingly, this study introduces variable weight theory into the ecological-security assessment of lithium mining areas, and its general form is expressed in Equation (1).
- c.
Determination of Variable Weight Intervals and Parameters
When applying the variable weight method, it is also necessary to determine the variable weight intervals corresponding to each indicator for different years. Because ecological security in such areas evolves with significant temporal variation and spatial heterogeneity, the distributions of indicator states differ across years. Therefore, an objective method is required to classify indicator state intervals.
The K-means clustering algorithm can automatically classify data according to the inherent characteristics of the samples. By specifying the number of clusters and the maximum number of iterations, it can also improve the stability and reliability of interval partitioning. In this study, the K-means algorithm was applied to cluster indicator data for each year, with the number of clusters set to four and the maximum number of iterations set to 20. Based on the clustering results, the threshold values of the variable weight intervals for each indicator were determined, as shown in Equation (2) [
26].
- d.
Construction of the Variable Weight Model for Lithium Mining Areas
Under mining disturbance, the ecological system of lithium mining areas typically exhibits a long recovery cycle and relatively weak self-repair capacity. Once accumulated ecological stress exceeds the tolerance threshold of the system, persistent negative impacts may occur. Therefore, to prevent unfavourable indicators from being masked by advantageous ones in the comprehensive evaluation, this study constructs a penalty-dominated hybrid variable weight function based on these evolutionary characteristics. This function is intended to strengthen the constraining effect of deteriorated indicators on the overall evaluation results. The specific form is shown in Equation (3). We note explicitly that this asymmetric behaviour around the thresholds is a structural property of the penalty-dominated construction itself, not an empirically established advantage of VW over CW: under this formulation, sub-areas in which several indicators simultaneously fall below d
1 will, by construction, see their composite scores driven further into the low-security range than the corresponding CW composite would yield.
In Equation (3), denotes the standardized value of the original data for the -th indicator. , , and represent the threshold values of the variable weight intervals for the -th indicator. is the natural constant, and is the adjustment coefficient that controls the sensitivity of weight variation to changes in indicator states. A larger value of indicates that once an indicator deviates from its corresponding threshold, the magnitude of weight adjustment becomes more pronounced. is the global adjustment parameter, which represents the overall intensity of weight variation. When takes a smaller value, the penalty or incentive effects imposed on the indicators become stronger.
As shown in
Figure 4, the exponential state variable weight vector constructed in this study can be divided into four distinct weight-adjustment intervals. Specifically, the interval
is defined as the incentive interval, within which the weight increases gradually as the indicator value increases. The interval
is the stable interval, where the indicator weight remains unchanged without penalty or incentive. The interval
is the penalty interval, in which the corresponding weight increases as the indicator value decreases. When the indicator value further falls into the interval
, the penalty effect is further intensified.
After the variable weight intervals were determined, the two adjustment parameters of the model—the balance factor C and the penalty intensity α—were selected through a systematic four-step procedure rather than by trial-and-error tuning. First, following the empirically recommended search range of
and
reported for DPSIRM-based variable weight models [
27], a grid search was carried out at intervals of 0.05 in both directions, yielding 441 candidate combinations. Second, for each candidate, a single-indicator perturbation test was performed jointly across all four assessment years: with the remaining 16 indicators fixed at their year-specific median values, each indicator was varied from zero to one in 21 equal steps, and the resulting dynamic weight response was scored against five quantitative criteria—significance (the mean range of the perturbed indicator’s weight variation), smoothness (the mean maximum single-step weight change), absence of abrupt jumps (the worst-case maximum single-step change across all indicators and years), non-target coupling (the mean absolute weight deviation in the 16 non-perturbed indicators), and monotonic consistency (the proportion of steps showing logically consistent weight responses). Third, candidates were filtered by a significance threshold and the remaining set was ranked by a stability-weighted composite score (absence of abrupt jumps 0.40, smoothness 0.25, non-target coupling 0.20, significance 0.10, monotonic consistency 0.05). Fourth, the top-ranked candidate (
) was verified through weight–response curves with the K-means-derived thresholds d
1, d
2, d
3 superimposed (
Figure 5), and its robustness was confirmed by the parameter-sensitivity heatmap of all 441 candidates (
Figure 6). The selected combination achieved a mean weight-variation range of 0.0958, a mean maximum single-step change of 0.0098, a worst-case single-step change of 0.0213, and a non-target coupling of 0.0046, with stable cross-year performance (
Appendix Figure A2). Therefore, this parameter combination was adopted as the final setting of the variable weight model in this study, and the corresponding results are presented in
Appendix A.
Based on the previously determined variable weight function, interval thresholds, and adjustment parameters, the variable weights (VWs) of each ecological-security evaluation indicator in the study area were calculated according to Equation (3). This generated weight values that dynamically adjusted with changes in indicator states. The results of both the constant weights (CWs) and variable weights (VWs) are presented in the Appendix.
The results showed that the variable weights could be adjusted effectively in response to changes in indicator states, with a generally smooth variation process and no evident abrupt changes. This provides a more sensitive weighting mechanism for identifying ecological-security conditions in lithium mining areas.
2.3.3. Comprehensive Ecological-Security Assessment of Lithium Mining Areas
Before conducting the comprehensive ecological-security assessment of the lithium mining area, the original data were standardized using the min–max normalization method to eliminate differences in dimensions, units, and value ranges among indicators and to improve comparability. According to the different directions of indicator effects on ecological security in the mining area, separate standardization formulas were applied to positive and negative indicators, as shown in Equations (4) and (5), respectively.
In these equations, denotes the standardized value of the -th evaluation indicator in year , whereas denotes the original value of the -th evaluation indicator in year . and represent the maximum and minimum values, respectively, of the -th evaluation indicator during the study period.
Based on indicator standardization, a composite index model was further employed to calculate the ecological-security index (ES) of the study area, so as to quantitatively characterize the ecological-security level of the lithium mining area. The specific calculation is shown in Equation (6), where
represents the comprehensive ecological-security index,
denotes the standardized indicator value after normalization, and
is the corresponding indicator weight.
With regard to ecological-security classification, the equal-interval method commonly used in previous studies cannot adequately reflect the internal differences in ecological security in mining areas, where indicator distributions are typically skewed. This study therefore adopted the natural breaks (Jenks) method [
28] to derive an initial set of class boundaries from the VW-ESI distribution. The Jenks results were then refined through three complementary sources of evidence: (i) high-resolution Google Earth imagery, used to verify whether each preliminary class boundary aligned with observable transitions in land cover, exposed mining surfaces, and vegetation recovery zones; (ii) field photographs collected at the Huaqiao Township mining area, used to calibrate the qualitative meaning of each level; and (iii) classification schemes reported in comparable mining area and DPSIRM-based ecological-security studies [
11,
19], referenced for the number of classes, level naming, and ecological interpretation rather than for the direct transplantation of numerical cut-offs. In practice, the final thresholds were adjusted only slightly around the initial Jenks breaks obtained from the VW-ESI distribution, with the direction of adjustment being to align class boundaries with observed transitions between exposed mining surfaces, mixed disturbed land, and recovering vegetation, as verified through the Google Earth overlays and field photographs. The final classification criteria are shown in
Table 3.
2.3.4. Identification of Influencing Factors Based on the Geographic Detector
To explore the driving factors affecting ecological security (ES) in the Huaqiao Township lithium mining area of Yichun, this study employed the geographic detector model for driving-force analysis. The geographic detector is a statistical method used to identify spatial differentiation and its driving mechanisms. By comparing the spatial consistency of variables under different stratification conditions, it can quantitatively measure the explanatory power of influencing factors on the spatial distribution of the target variable.
(1) Factor detector
The factor detector is used to quantify the explanatory power of a given factor on the spatial differentiation of ecological security, as shown in Equation (7). When
, the factor has no explanatory power for the spatial differentiation of ecological security; when
, the factor completely explains the spatial differentiation of ecological security in the study area. In this study, both the factor detector and the interaction detector of the geographic detector model were used to identify and analyze the main driving factors of spatial differentiation in ecological security and their synergistic effects in the lithium mining area.
In Equation (7), represents the explanatory power of a given influencing factor on the spatial differentiation of ecological security in the mining area; is the number of strata of variable or ; denotes the -th stratum; and represent the number of samples and the variance within stratum , respectively; and and denote the total number of samples and the overall variance of the study area, respectively. The value of ranges from zero to one. A larger value indicates the stronger explanatory power of the factor for the spatial differentiation of ecological security in the mining area.
(2) Interaction detector
The interaction detector is used to analyze the effects of interactions between two factors on ecological security. By calculating the interaction
-value of two factors, it is possible to determine whether their interaction enhances or weakens explanatory power. Specifically, interaction types can be classified as bivariate enhancement, nonlinear weakening, nonlinear enhancement, independent effect, and univariate weakening. The interaction relationships among different driving factors can thus be categorized into five types, and the specific criteria are shown in
Table 4.
For implementation, all continuous indicators were discretized using an optimal-parameter strategy: for each indicator in each assessment year, three candidate methods (quantile, equal-interval, and K-means) were tested with the number of classes K varied from two to eight, and the method–K combination that maximized the factor-detector q-value was retained. The same optimization procedure was applied independently to all four years, allowing year-specific differences in indicator distributions to be accommodated; in the present study, K = 8 was the optimal choice in 59 of 68 indicator–year cases. Across the three candidate methods, K-means clustering was selected most frequently, followed by quantile classification and equal-interval classification. For the interaction detector, each pair of factors was overlaid using their respective year-specific optimal discretizations. Statistical significance of all q-values was assessed using the F-test associated with the geographic detector formulation and is reported alongside the q-values in the revised result tables and figures.
Here, represents the explanatory power of the interaction between two factors on ecological security, whereas and denote the explanatory power of each individual factor. If the interaction q-value is greater than the larger of the two single-factor q-values but smaller than their sum, it indicates a bivariate enhancement effect; if it is greater than the sum of the two single-factor q-values, it indicates a nonlinear enhancement effect.