1. Introduction
As urbanization accelerates globally, with approximately 68% of the population expected to live in urban areas by 2050 [
1], understanding the complex relationship between urban expansion and ecological vulnerability has become critical. Urban expansion leads to habitat loss [
2], reduced carbon storage, and decreased regional climate regulation capacity [
3], particularly in developing countries experiencing rapid growth.
Impervious surfaces are ground areas where water cannot penetrate, such as rooftops, roads, parking lots, and sidewalks [
4]. In recent years, they have been widely applied in monitoring and assessment studies of urbanization processes [
5], involving mapping and estimating impervious surface area using remote sensing data [
6,
7], and further used to study long-term dynamic changes in urban expansion [
8]. There are now many mature impervious surface data products available, such as artificial impervious surfaces mapped at 250–500 m resolution using Moderate Resolution Imaging Spectroradiometer (MODIS) data [
9]; 30 m resolution GAIA (Global Artificial Impervious Area) data generated based on Landsat satellite imagery and auxiliary data [
10,
11]; and 100 m resolution GISA (Global Impervious Surface Area) data generated by fusing multi-source data [
12].
Specifically, GAIA constructs long-term remote sensing index features (such as NDVI, NDBI, MNDWI) by analyzing Landsat satellite imagery (30 m resolution), combined with machine learning methods such as random forest for pixel-level classification judgment; based on the annual impervious status, temporal consistency judgment and threshold setting are further applied to form the final binary product. Grid values of 1 indicate that the pixel is identified as an impervious surface in that year and thereafter, while values of 0 indicate a non-impervious surface [
10]. This method has good timeliness and consistency at the global scale, basically conforming to the urbanization process assumption that impervious surfaces grow from none to existence, continuously increase, and are irreversible, and is therefore widely adopted in urban expansion identification and land use change analysis. However, the problem is that existing binary approaches fail to capture urbanization intensity gradients, particularly in areas with sparse development or discontinuous expansion patterns common in contemporary urban growth [
13] and cannot reveal the actual proportion of impervious coverage within pixels.
To address this limitation, we constructed Impervious Surface Coverage (ISC) data generated from multi-temporal remote sensing imagery. This data spatially aggregates the 30 m resolution binary impervious surface products provided by GAIA, calculating the proportion of impervious pixels within each 1 km grid to obtain continuous impervious surface proportion data with sub-pixel scale continuity. Compared to traditional binary classification results, this method can more accurately reflect the degree of imperviousness within pixels, demonstrating higher expressive capability and application value in urban impervious intensity assessment, expansion process characterization, and spatial heterogeneity analysis. In contrast, ISC provides a more continuous and refined urban expansion monitoring method, particularly suitable for revealing dynamic processes such as early sparse development and building land density gradient changes [
14]. It has good comparability and scalability, suitable for urbanization dynamic monitoring at multiple temporal and spatial scales [
15].
Urban expansion impacts on ecosystems are complex and spatially heterogeneous [
16], requiring integrated assessment frameworks that capture both urbanization intensity and ecological response patterns [
17]. Current ecological vulnerability assessments often rely on subjective weighting schemes [
18,
19] and fail to establish quantitative relationships between urbanization intensity gradients and ecosystem responses. We address this by developing an Ecological Vulnerability Index (EVI) [
20] that integrates natural factors with anthropogenic pressures. Using Genetic Projection Pursuit modeling, we eliminate subjective weighting bias while establishing quantitative ISC–EVI relationships across different urbanization intensity zones.
This study aims to construct a long-term ISC dataset for the Beijing–Tianjin–Hebei region through spatial aggregation methods and by analyzing urban expansion processes and ecological vulnerability patterns, as well as establishing quantitative relationships between urbanization intensity and ecosystem responses to provide scientific support for sustainable regional development strategies. The technical path and analytical framework proposed in this study have multi-dimensional scientific support value for urban ecological security monitoring and spatial regulation in the Beijing–Tianjin–Hebei region. For the ecological vulnerability early warning of high-density urban agglomerations, its core lies in establishing an associated analysis paradigm of “impervious surface dynamics—multi-factor ecological response”: first, converting 30 m resolution impervious surface binary data into 1 km resolution Impervious Surface Coverage (ISC) data through spatial aggregation methods, which solves the scale matching problem between micro data and macro analysis; second, introducing the projection pursuit model to calculate the weights of ecological sensitive factors, avoiding the deviation caused by subjective weighting and improving the objectivity of evaluation results; finally, based on the coupling characteristic analysis of key time nodes, it can capture the evolution law of ecological vulnerability in different development stages. This complete process can be directly transferred to other high-density urban agglomerations such as the Yangtze River Delta and the Pearl River Delta, providing standardized tools for analyzing the urbanization ecological effects in similar regions and establishing a normalized ecological vulnerability early warning mechanism.
2. Materials and Methods
2.1. Study Area
The Beijing–Tianjin–Hebei region (
Figure 1) is located in the northern part of the North China Plain, with geographical coordinates of 113°04′–119°53′ E and 36°01′–42°37′ N. It includes two municipalities directly under the central government (Beijing and Tianjin) and 11 prefecture-level cities in Hebei Province (Shijiazhuang, Baoding, Tangshan, Langfang, Handan, Xingtai, Cangzhou, Qinhuangdao, Hengshui, Zhangjiakou, and Chengde), with a total area of approximately 216,000 square kilometers, accounting for 2.3% of the national territory. The Beijing–Tianjin–Hebei region is predominantly plains, with mountains and plateaus. The Yanshan and Taihang mountain ranges surround the northwest, the southeast is the North China Plain, and the east borders the Bohai Sea. It has a temperate monsoon climate with four distinct seasons, annual average precipitation of 400–800 mm concentrated in summer, and is prone to droughts and floods.
The Beijing–Tianjin–Hebei region has a total population of approximately 110 million (2020), with a GDP accounting for about 10% of the national total, making it the economic core area of northern China. The Beijing–Tianjin–Hebei coordinated development strategy was elevated to a national strategy in 2014, with the core objective of relieving Beijing of non-capital functions and promoting industrial, transportation, and ecological integration among the three regions. Beijing serves as the national political, cultural, international exchange, and technological innovation center, focusing on “high-precision and advanced” industries, with the tertiary industry accounting for over 80%. Tianjin is the northern shipping center, characterized by advanced manufacturing and port economy, primarily developing high-end manufacturing and R&D. Hebei is a major industrial and agricultural province with a high proportion of traditional industries such as steel and building materials, undertaking manufacturing industries from Beijing and Tianjin while upgrading traditional industries.
The BTH region was selected for this study due to its significance as a representative case of 21st-century mega-regional urbanization. Covering 216,000 km2, BTH exemplifies the scale and complexity of contemporary urban agglomerations that will define global urbanization patterns through 2050. The region’s increase in impervious surface area over our 35-year study period represents one of the most dramatic urban transformations globally, making it an ideal laboratory for testing our ISC methodology and vulnerability assessment framework. Furthermore, the BTH polycentric development pattern, diverse environmental gradients (from megacity cores to pristine mountains), and unique policy context (coordinated regional development strategy) provide insights directly applicable to other rapidly urbanizing mega-regions worldwide.
2.2. Dataset
ISC data utilizes the already mature Global Artificial Impervious Area (GAIA) data for impervious surface coverage mapping. Subsequent ecological vulnerability analysis employs Fractional Vegetation Coverage (FVC) as a proxy indicator for vegetation growth and Land Surface Temperature (LST) as an indicator of climate change, both of which are derived from MODIS satellite data. Specifically, LST data were obtained from the MOD11A1 Version 6 product, which provides daily observations at a spatial resolution of 1 km. We utilized the daytime LST (LST_Day_1 km) values in this study. All data processing was conducted on the Google Earth Engine (GEE) platform, which facilitates large-scale time series analysis and automatic cloud masking. By incorporating all available daily observations throughout each year and computing their annual average, we ensured both the temporal representativeness and robustness of the LST values used in our analysis. Using elevation data from the L-band Phased Array Synthetic Aperture Radar (PALSAR) data of the Advanced Land Observing Satellite (ALOS), elevation, topographic relief, and slope information are extracted. Land use data comes from CLCD data products with a spatial resolution of 30 m from 1985 to 2023, derived from over 335,000 Landsat images on the Google Earth Engine platform. A random forest classifier was trained using samples from the Chinese Land Use Dataset and visually interpreted points. A post-processing step ensured spatial-temporal consistency. The dataset achieved an overall accuracy of 79.31%, averaged across all years based on 5463 validation samples, and outperformed other global land cover products such as MCD12Q1, ESA–CCI, and GlobeLand30.
Population data is derived from gridded population data with a resolution of 1 km. To maintain consistency with all data, we resampled all raster data to 1000 m resolution using the nearest neighbor method. All datasets used are summarized in
Table 1.
2.3. Methods
In the data processing stage of this study, spatial aggregation processing was applied to the 30 m resolution GAIA binary data, converting it into coverage proportion data in 1 km grid units. The specific methodology is as follows (
Figure 2): First, in the GAIA binary data, “1” represents impervious surface and “0” represents non-impervious surface. We used a sliding window with 1000 m sides to aggregate the original raster, counting the number of pixels with a value of 1 within each 1 km grid and dividing by the total number of pixels contained in that grid, thereby obtaining the coverage proportion of that land type within the 1 km grid (value range 0~1). Additionally, to ensure the accuracy of aggregation results, mask processing was applied to invalid values or edge areas in the original data before processing to avoid interference with statistical results. The final output of 1 km resolution raster data can better reflect the spatial distribution density of target land types at the macro scale, providing fundamental data support for regional-scale land use analysis and modeling. In the impact analysis and vulnerability assessment stage, ecological sensitivity factors such as HQI, FVC, LST, population density, and slope are comprehensively considered to construct an ecological environment change weight factor system, and based on weighted calculations, the Ecological Vulnerability Index (EVI) is computed to assess the impact of urban expansion on ecosystems and regional vulnerability patterns.
2.3.1. Impervious Surface Coverage (ISC) Construction Method
To construct an Impervious Surface Coverage (ISC) dataset with temporal continuity and sub-pixel expression capability, this study selected the 30 m resolution annual binary impervious surface products (1985–2020) provided by GAIA (Global Artificial Impervious Area), where pixel values of 1 represent impervious surfaces and 0 represents non-impervious surfaces. The GAIA dataset demonstrates high accuracy with overall accuracies ranging from 89% to 97% across validation years, with a mean overall accuracy higher than 90% globally and 89% specifically in arid regions using improved algorithms [
10]. Considering the low-density development characteristics in urban expansion processes and macro-scale analysis requirements, spatial aggregation methods were employed to convert these into 1 km resolution proportional impervious data. The 1 km resolution was specifically chosen to maintain spatial consistency with other variables in our EVI assessment framework (MODIS-derived FVC and LST data, population density data), while providing an optimal balance between capturing regional urbanization patterns and computational efficiency for the 35-year time series analysis across the 216,000 km
2 study area. Using 33 × 33 pixels (corresponding to approximately 1 km × 1 km) as aggregation units, the number of impervious pixels with values of 1 within each unit was counted and divided by the total number of pixels to calculate the impervious surface proportion within that 1 km pixel. While this aggregation process inevitably smooths fine-scale heterogeneity and may underestimate urban fragmentation in areas with highly dispersed settlement patterns, it preserves the essential spatial gradients needed for regional-scale urbanization analysis and policy-relevant applications. The high accuracy of the source GAIA data (>90% mean overall accuracy) ensures the reliability of our spatially aggregated ISC dataset. All annual data were processed in the same manner, ultimately generating continuous ISC proportion data sequences from 1985 to 2020. This ISC dataset provides high-resolution, long-term temporal spatial support for subsequent urbanization intensity identification, spatial pattern evolution analysis, and ecological vulnerability assessment, with good regional applicability and explanatory power.
2.3.2. ISC Density Classification Method
Using ISC pixel proportion data, the ISC area of each city in the Beijing–Tianjin–Hebei region was extracted by city level and divided by its administrative area to obtain the ISC density value (ISD) for each city. Since the resulting ISC density values are relatively small, subsequent normalization operations were performed to enhance data comparability and better reflect regional differences. The formula is as follows:
where
is the normalized ISC density value of the image pixel, with values ranging from 0 to 1. The larger the value, the higher the corresponding ISC density;
and
represent the maximum and minimum values of the study ISC density, respectively.
Traditional methods (such as equal interval division) may be affected by extreme values. To objectively classify ISC density into grades, the mean-standard deviation method is used for density segmentation. The mean-standard deviation method is based on data distribution characteristics and can more adaptively distinguish high, medium, and low density areas. The density segmentation results of different regions are paired to facilitate analysis of spatial differentiation. The density segmentation formula is as follows:
where
is the ISC density classification threshold;
is the average ISC density of the study area;
is the standard deviation multiplier; and
is the standard deviation of ISC density in the study area.
According to
Table 2, the ISC density is classified to obtain
Figure 3. This graded density map reflects to a certain extent the differentiated urbanization development in different regions of Beijing–Tianjin–Hebei. High-density areas are concentrated in the developed cities in the eastern part of Beijing–Tianjin–Hebei, centered on Beijing and Tianjin, and include Langfang and Cangzhou; medium-low density areas are concentrated in the western part of Beijing–Tianjin–Hebei, and low-density areas are concentrated in the mountainous areas in the northern part of Beijing–Tianjin–Hebei.
2.3.3. Urban Expansion and Center Shift Analysis
Impervious surfaces refer to surfaces covered by impervious materials, typically including surfaces with poor permeability such as rooftops, parking lots, and roads, which are the most prominent characteristics of urbanization [
21]. In many studies, cities are defined as an impervious surface area. Studying the dynamic changes and expansion of impervious surfaces can reflect the urbanization process of a region to a certain extent. We use impervious surface expansion speed (ES) to represent the expansion of impervious surfaces within different study periods. The ES index calculation formula is as follows:
where
and
are the initial and final areas of impervious surfaces, respectively,
is the time interval, and this study selects a time interval of 5 years.
The impervious surface center is an important indicator that can reflect the spatial characteristics and expansion intensity of urban expansion, and is of great significance for understanding the direction of urban expansion [
22]. Using GIS spatial analysis functions, we calculate the impervious surface center coordinates and center migration trajectory for six periods from 1990 to 2015 in the study area, with the formula as follows:
where
and
represent the centroid coordinates of impervious surfaces in year t;
represents the area of impervious surface patch i;
and
represent the centroid coordinates of patch
, respectively; and n represents the number of impervious surface patches.
To determine the different center directions of urban development at different levels, time series impervious surface images from six periods were used to calculate impervious surface centroids at both overall and local regional scales: (1) 1990, (2) 1995, (3) 2000, (4) 2005, (5) 2010, (6) 2015, (7) 2020. The calculated time series of impervious surface centroids at different levels reflect the concentration trends of impervious surfaces in different periods, and the spatiotemporal dynamics of urban impervious surfaces at different scales reveal the overall and local evolutionary trajectories of urban impervious surfaces.
2.3.4. Spatiotemporal Response Analysis of Ecological Environment Changes
Vegetation area is the most intuitive indicator for measuring ecological quality [
23]. This experiment calculated the forest and grassland areas in the study area based on CLCD data, using them as basic indicators for evaluating environmental changes. Landscape indices are used to describe and quantify the structure and configuration of landscape patterns to assess and monitor changes in landscape patterns. This experiment selected two commonly used indicators: Mean Patch Area (AREA_MN) and Patch Density (PD), to reflect the patch area and fragmentation degree of vegetation areas. All landscape indices were calculated using FRAGSTATS 4.2 software by inputting annual land use raster data from CLCD and applying the landscape metrics calculation module with standard configuration settings. The two indicators for forests and grasslands in different ISC density zones were calculated for 1985, 1990, 1995, 2000, 2005, 2010, 2015, and 2020, respectively. By comparing the different changes in grasslands and forests and the landscape pattern changes in different urbanization development areas, the impacts of different degrees of urbanization development on their surrounding ecological environments are revealed.
2.3.5. EVI Assessment
Calculation of EVI Indicators for Assessment
An ecological vulnerability assessment model for the study area was established using temporally aligned datasets for four target years (2005, 2010, 2015, and 2020). For each target year, all input variables were extracted from the corresponding annual datasets to ensure temporal consistency, using genetic projection pursuit and comprehensive evaluation models to assess the ecological vulnerability of the study area. Combined with the environmental characteristics of the study area, five variables were selected to analyze EVI (
Figure 4).
For the vegetation environment aspect, we use Fractional Vegetation Coverage (FVC) and Habitat Quality Index (HQI) to characterize the vegetation environment. FVC is commonly defined as the percentage of the vertical projection area of vegetation (including leaves, stems, and branches) to the total area of the statistical region. It is an important parameter for describing surface vegetation coverage and can intuitively reflect the vegetation prosperity within a region, serving as an important indicator of vegetation growth status. In remote sensing, vegetation coverage is typically calculated using the pixel binary method.
displays the ecological environment quality that supports species and persistence. According to the reference of “Technical Standards for Ecological Environment Assessment” and based on standards promulgated by China’s Ministry of Environmental Protection (MEP-2015),
and
can be calculated as Equations (1) and (2):
where
is forest area,
is grassland area,
is water body area,
is cultivated land area,
is impervious surface area,
is bare land area, and
is total area. When calculating
,
values with cumulative probabilities of 0.5% and 99.5% are used as
and
, respectively, and
values outside this range are considered as pure soil and pure vegetation. MODIS data is used to calculate vegetation coverage for each vegetation area.
Calculation and Classification of Ecological Vulnerability Index
The projection pursuit model is used to find the optimal projection direction vector by constructing projection indicators, and then calculate sample projection eigenvalues from the optimal projection direction vector, thereby conducting comprehensive evaluation of ecological vulnerability. Here, a projection pursuit model based on genetic algorithms is used to evaluate EVI, with a detailed introduction to the construction steps of Genetic Projection Pursuit (GPP). The model is as follows: First, samples are normalized because different indicators have different dimensions. To solve the variability of different indicator scales, each indicator set needs to be normalized by applying the equation:
where
and
are the maximum and minimum values of the
-th indicator in the sample set, respectively, and
is the normalized indicator value of the sample set.
Subsequently, the projection index function is constructed. Under the execution of projection direction
= (a
1, a
2, …, a
m), the m-dimensional data {
|j = 1, 2, …, m} for
= 1, 2, …, n can be processed into a one-dimensional value
through the following formula:
The distribution characteristics of projection values
are required to be as follows: local projection points may be concentrated, while overall projection points may be dispersed. Therefore, we construct the projection index function as
, where S
Z is the standard deviation of
, and
is the local density of
.
where
is the mean value of the sequence {
|j = 1, 2, …, n};
is the radius of the window with local density;
represents the distance between sample projection values, where
= |
−
| u (
) is the unit step function, when
≥
, the function value is 1, otherwise it is 0. Subsequently, we optimize the window radius
, providing the function for optimizing the local density window radius
, evaluating multiple
values to find the optimal
value that produces the highest projection index
, while considering the balance of weights, and finally obtaining the optimal projection direction vector
through weighted standard deviation evaluation in its optimal solution.
In this study, the synthetic information reflecting each characteristic indicator can be calculated based on the optimal direction vector
, and
can be evaluated based on the variance level of the synthetic information. Therefore, indicator standardized values and standardized weights are used to calculate
, with the equation as follows:
Since the calculated results are mostly concentrated in the middle range, the quantitative evaluation results of ecological vulnerability in the study area are classified into three categories using the natural breaks (Jenks) classification method in ArcMap based on the actual values from four study years (2005, 2010, 2015, and 2020). This data-driven approach maximizes the contrast between vulnerability classes and ensures meaningful ecological distinctions: low vulnerability area ( < 0.25), moderate vulnerability area (0.25 < < 0.50), and high vulnerability area ( > 0.50).
5. Conclusions
This study constructed a long-term time series Impervious Surface Coverage (ISC) dataset for the Beijing–Tianjin–Hebei region from 1985 to 2020 through spatial aggregation of 30 m GAIA data, and analyzed the spatiotemporal response relationship between urbanization and ecological environment changes.
The regional impervious surface area increased dramatically from 7579.3 km
2 in 1985 to 37,484.0 km
2 in 2020, representing a total growth of 394.5% over the 35-year period, with expansion rates showing two distinct peaks around 1990 and 2010–2015. Urban centers migrated from the Beijing–Tianjin corridor toward southeastern Hebei, reflecting regional development acceleration. The forest area in high-density regions increased significantly during 1985–2005 before declining, while grassland fragmentation intensified in low-density areas primarily driven by the discontinuous urban expansion pattern characteristic of Chinese urbanization [
35], exacerbated by linear infrastructure development and agricultural conversion policies [
36]. The Ecological Vulnerability Index assessment revealed expanding high vulnerability areas in Beijing–Tianjin cores, which may be attributable to the concentration of urban development pressures, including population agglomeration [
37], urban heat island intensification [
38], and insufficient green infrastructure development relative to urbanization pace. Conversely, the 4.2% decline in low-vulnerability mountainous areas results from multiple stressors including climate change impacts on montane ecosystems [
39], as well as tourism and infrastructure development pressure. While conservation policies such as ecological protection zones and afforestation programs have been implemented in the Beijing–Tianjin–Hebei region, our findings suggest that these measures may not be fully offsetting the combined pressures of climate change and development activities in peripheral areas. The declining trend indicates a need for enhanced conservation strategies and stricter implementation of environmental protection policies in low-density regions.
ISC and EVI relationships showed significant spatial heterogeneity: positive correlations in areas like the Temple of Heaven (indicating successful urban renewal with ecological improvement) contrasted with negative correlations around Capital Airport (reflecting ecological degradation from rapid expansion). These findings highlight urgent needs for location-specific urban planning strategies that balance development with ecological protection.
Several key research directions emerge from this study that warrant further investigation. First, the temporal resolution of vulnerability assessment could be enhanced through the integration of higher-frequency satellite data and real-time monitoring systems. The current 5-year interval analysis may miss critical short-term ecological responses to urbanization pressures, particularly during rapid development phases or following extreme weather events. Second, the transferability of our ISC methodology and vulnerability assessment framework to other urban agglomerations requires systematic validation. While our comparison with global urban products demonstrates consistency in the Beijing–Tianjin–Hebei context, application to regions with different urbanization patterns, climatic conditions, and ecological systems would strengthen the generalizability of our approach. Priority should be given to testing in other major Chinese urban agglomerations such as the Yangtze River Delta and Pearl River Delta, followed by international urban regions with similar characteristics. Finally, the development of predictive capabilities through scenario modeling would significantly enhance the practical value of vulnerability assessments. Future research should focus on coupling our ISC methodology with land use change models and climate projections to assess how different development scenarios might influence ecological vulnerability patterns under changing environmental conditions.
This study provides scientific support for the sustainable development of the Beijing–Tianjin–Hebei urban agglomeration, suggesting location-specific and differentiated regulation of urbanization processes to reduce ecological risks. The technical framework developed here offers significant replicability for ecological vulnerability early warning in other high-density urban agglomerations globally.