Abstract
The research on land use transformation has attracted more and more attention, and there are few research results on the eco-environmental effects of regional land use change from the perspective of land use function transformation. From the perspective of production-living-ecological land use function classification, this paper obtained land use change data of Shaanxi Province in 2000, 2010, and 2020, calculated the land use transfer matrix, ecological environment quality index, and ecological contribution rate of land use transformation, and quantitatively analyzed the temporal and spatial evolution of production-living-ecological spaces and the eco-environmental effects of land use structure transformation in Shaanxi Province. The results showed that the land use change in Shaanxi Province is mainly manifested in the continuous increase of ecological and living land area and the continuous decrease of production land area from 2000 to 2020. In the transformation of land use structure in Shaanxi Province, the biggest change in area is the mutual transformation between productive cultivated land and ecological grassland land. The occupation of ecological grassland land by other land types is an important factor leading to the decline of ecological environment quality. Overall, the ecological environment of Shaanxi Province has shown a trend of improvement in the past two decades. Quantitative research on the transformation characteristics of land use structure and its ecological environment effects in the past two decades is conducive to providing data support for the promotion of ecological civilization construction in Shaanxi Province.
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Introduction
In recent years, the research on land use transformation has attracted more and more attention (Asabere, et al. 2020; Yao and Tian, 2020; Das and Angadi, 2020). It mainly involves the theoretical basis and research framework of land use transformation and the relationship between rural land use transformation and urban–rural development, resources, and environment effects (Zhao, et al. 2020; Wynn,et al. 2020). Among them, due to a series of environmental problems in the process of land use leading function transformation, the impact of land use transformation on ecological environment has become one of the important research directions (Zhao et al. 2018; Yang and Li, 2020; Basheer, et al. 2020). The existing research mainly focuses on the macro scale, mostly in river basins, provinces, and cities (Lorenzen, et al. 2020; Dong, et al. 2020; Huang, et al. 2020). Transfer matrix, ecosystem service value evaluation, spatial econometric regression analysis, and landscape pattern index are used to study the environmental effects caused by land use transformation (Mumtaz, et al. 2020; Yang and Li, 2020; Abramowicz, et al. 2021). There are few research results on the eco-environmental effects of regional land use change from the perspective of land use function transformation.
The research on eco-environmental problems originated from the rapid spread of cities, the decline of environmental quality, and the harm to human health caused by the industrial revolution (Gang, et al. 2010). After the occurrence of this problem, a large number of scholars are aware of its harm and are committed to studying the ecological and environmental problems caused by urban expansion. The research elements have gradually developed from a single to diversified research on the ecological and environmental effects based on land use transformation (Liu, et al. 2007; Zhao et al. 2022). The collaborative study of land use transformation and eco-environmental effects has become a key issue in this field (Coetzer, et al. 2013; Yang et al. 2015). The change of ecological environment caused by land use transformation is one of the important contents of studying the sustainable development of global ecological environment. The urban spatial expansion mode at the expense of agricultural cultivated land will inevitably cause irreversible damage to the ecological environment. The balanced development between the two is the basis of urban sustainable development. The eco-environmental effects caused by land use/cover change directly affect human well-being and are related to the coordinated development of society, economy, and environment (Wang, et al. 2010; Yang et al. 2018). There are two kinds of studies on the eco-environmental effects caused by land use change. The first is to study the single factor ecological environment caused by land use change, such as the impact of land use change on environmental factors (Yang et al. 2019; Han, et al. 2021). The second is to analyze the comprehensive eco-environmental effects caused by land use change on a national or regional scale, mainly including landscape pattern index analysis, ecosystem service value estimation, and ecological risk assessment (Basu and Das, 2021).
The Chinese government has set the development goal of “promoting intensive and efficient production space, appropriate living space and beautiful ecological space.” Coordinating production-living-ecological spaces has become an important basis for optimizing the rational allocation of land resources and the construction of ecological civilization (Yang, et al. 2020). The land space development mode has changed from the production space to the coordinated mode of production-living-ecological spaces (Wang, 2021). One of the manifestations of land use transformation is the transformation of the leading functions of land use, namely, the transformation between the three leading functions of production, ecology, and living of land use (Sanchez and Leakey, 1997; Deal and Schunk, 2004; Rerkasem et al. 2009; Amin and Helmi, 2021). It is a dynamic process of quantitative and spatial reconfiguration of limited land resources among various leading functions (Groot, 2006; Vivcharenko, 2019). The transformation of land use function has a far-reaching impact on the structure, function, and ecological process of regional ecosystem (Hitchcock, 2014; Yang et al. 2021). Studying the ecological environment effect of land use function transformation is one of the methods to understand and predict the quality and change characteristics of regional ecological environment (Lax, et al. 2017). Exploring the coordination mechanism between land use transformation and eco-environmental protection management, clarifying the relationship between eco-environmental protection and economic sustainable development under production-living-ecological space, and exploring the path of Shaanxi Province to promote ecological protection and high-quality development of the Yellow River Basin can provide reference for China’s ecological security construction.
The theoretical significance of this paper is to construct the eco-environmental quality index of production-living-ecological spaces in order to enrich the research methods. Moreover, the secondary classification of land use with high eco-environmental resolution is proposed to further develop the theory of land use classification. The practical significance of this paper is to provide quantitative and targeted decision-making space for the establishment of effective ecological environment protection and high-quality development in Shaanxi Province.
From the perspective of production-living-ecological land use function classification, this paper obtained land use change data of Shaanxi Province in 2000, 2010, and 2020, calculated the land use transfer matrix, ecological environment quality index, and ecological contribution rate of land use transformation, and quantitatively analyzed the temporal and spatial evolution of production-living-ecological spaces and the eco-environmental effects of land use structure transformation in Shaanxi Province. The remainder of the paper is organized as follows: “Study area and data collection” section provides introduction of study area and data collection. “Methods” section describes methods used in this paper. “Results and discussions” section provides the results and discussion of the research. “Conclusion” section concludes this research.
Study area and data collection
Study area
The Yellow River Basin is a dense area of important ecological barriers in China. With the further promotion of the high-quality development of Xi’an Central City and Guanzhong Plain urban agglomeration, the land use function of Shaanxi Province has undergone a drastic transformation (Fu, et al. 2004). In addition, the natural ecological background of the Yellow River Basin is fragile (Qiang, et al. 2008; Zhang, et al. 2021a, b; Wang, et al. 2021a, b, c). In order to fully restore and effectively protect the ecology of the Yellow River Basin, Shaanxi Province is a good sample to study land use transformation and ecological environment protection.
Shaanxi Province is located in central and western China, between 105°29′–111°15′ east longitude and 31°42′–39°35′ north latitude (Fig. 1). The province covers an area of 205,600 km2 and is directly connected to the eight provinces in the central and western regions. It is an important location connecting the east and the west, connecting the north and the south, and the center of the Asian section of the “New Eurasian Continental Bridge.” Shaanxi Province is long and narrow from north to south, forming three distinctive natural areas from north to south. The Loess Plateau in northern Shaanxi is an important energy storage area in the country; the centrally flat Guanzhong area is an important land for food production and urban construction in the country; the South Qinba Mountains are an important national ecological protection area. The altitude of the whole area ranges from 174 to 3677 m. The terrain is undulating and the climate varies greatly. The average annual precipitation is about 576 mm.
Data collection
The land use raster data and administrative division data of Shaanxi Province are derived from the resource and environment data cloud sharing platform of the Chinese Academy of Sciences from 2000 to 2020, a total of 3 phases of 1 km × 1 km raster remote sensing monitoring data (http: //www.resdc.cn), the statistical data comes from the National Bureau of Statistics (http://www.stats.gov.cn) and the Shaanxi Provincial Bureau of Statistics (http://tjj.shaanxi.gov.cn) and related documents. Land use types include 6 primary types and 25 secondary types of cultivated land, woodland, grassland, waters, urban and rural industrial and mining residential land, and unused land. According to the different aspects of human needs, land use types can be divided into different types of production function, ecological function, and life function. According to different land use dominant functions of “production, ecology, and living,” different land use types are covered, and new land use is established. The classification system reflects the multiple dimensions pursued by the economic and social development of Shaanxi Province. However, a land use type may have multiple functions (Vivcharenko, 2019). For example, in terms of production function, cultivated land has the function of agricultural production and grain storage. In terms of ecological functions, the agricultural crops on the cultivated land have a certain impact on the local ecological environment and have the function of ecological land. In terms of living functions, cultivated land has certain functions such as life, education, and entertainment, and has the function of living land. However, in terms of people’s main demand for the use of cultivated land, the main function of cultivated land is the production of agricultural crops, that is, the production function. Therefore, the cultivated land is classified as a production land type.
In order to make the land use function classification system of Shaanxi Province more accurate and complete, this paper classifies production land, ecological land, and living land, and adds a secondary classification of land use types that can reflect the ecological differences of different land use functions. At the same time, the eco-environment index refers to the eco-environment indexes of different secondary land types developed by domestic and foreign experts and scholars on the evaluation of the value of land use function ecosystem services (Table 1). Mainly based on ecological environment quality value (Cui and Zang, 2013; Gao., et al. 2020), it was revised according to the actual situation of the ecosystem in Shaanxi Province. Combined with the classification system of the dominant land use functions of the production-living-ecological space, the area weighting method is used to fuzzy assign the ecological environment quality index of the production-living-ecological space land in Shaanxi Province.
Methods
Land use transformation
Land use transfer matrix is the application of Markov model in land use change (Cui and Zang, 2013; Gao., et al. 2020). Markov model can not only quantitatively show the transformation between different land use types but also reveal the transfer rate between different land use types (Cui and Zang, 2013; Gao., et al. 2020). The land use transfer matrix comes from the quantitative description of system state and state transfer in system analysis (Wen-Bo, et al. 2008). In the land use transfer matrix, the row represents the land use type at the previous time point, and the list shows the land use type at the later time point (Han, et al. 2012). The land use transfer matrix shows the quantitative relationship between the land cover types in two different periods in the form of matrix, which can comprehensively reflect the value and transfer direction of a regional land cover type (Table 2).
ArcGIS software is used for data fusion and superposition analysis of any two phases of land use data, and the data are exported. The transfer matrix is made by Excel to obtain the land use transfer matrix for the three phases of 2000–2010, 2010–2020, and 2000–2020, so as to analyze the transformation process of land use functional structure in Shaanxi Province.
Ecological environment effect
The impact of land use function transformation on eco-environmental effects in Shaanxi Province can be analyzed and studied through eco-environmental quality index and ecological contribution rate of land use function transformation.
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(1)
Ecological environment quality index. According to the classification of land use function from the perspective of ecological environment, different land use types have obvious ecological differences. Through the eco-environmental index and its area proportion of different land use functions under the classification of production-living-ecological spaces in Shaanxi Province, the eco-environmental quality index is used to quantitatively express the overall situation of eco-environmental quality in three different time periods in Shaanxi Province.
$${\mathrm{EV}}_{\mathrm{i}}=\frac{{\mathrm{S}}_{\mathrm{i}}}{\mathrm{S}}{\mathrm{R}}_{\mathrm{i}}(\mathrm{i}\hspace{0.17em}=\hspace{0.17em}\mathrm{1,2 n})$$(1)$$\mathrm{EV}=\sum\nolimits_{\mathrm{i}=1}^{\mathrm{n}}\frac{{\mathrm{S}}_{\mathrm{i}}}{\mathrm{S}}{\mathrm{R}}_{\mathrm{i}}$$(2)where EV is the eco-environmental quality index of the region in a certain period. EVi is the eco-environmental quality index of a certain land type in a certain period. n is the number of regional land use types. Si and S are the area and total area of the land use type i in a certain period of the region. Ri is the ecological environment index of the land use type i.
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(2)
Ecological contribution rate of land use structure transformation. The change of regional ecological quality caused by the land type change of a certain dominant function of land use. The index quantifies the impact of the mutual conversion of various functional land on the regional ecological environment, which is conducive to the analysis of the dominant factors causing the change of regional ecological environment.
$$\mathrm{LEI}=({\mathrm{EV}}_{\mathrm{t}1}-{\mathrm{EV}}_{\mathrm{t}0})\mathrm{LA}/$$(3)
where LEI is the ecological contribution rate of land use structure transformation. EVt0 and EVt1 are the eco-environmental quality indexes at the initial and final stages of change reflected by different types of land use changes. LA is the change area of the land use type. TA is the total area of the area. The ecological contribution rate of land use structure transformation has both positive and negative values. Through the analysis of positive and negative aspects, we can comprehensively judge the land use types affecting the change of ecological environment quality in Shaanxi Province, which is conducive to analyze the leading factors of ecological environment improvement and degradation in Shaanxi Province.
Results and discussions
Production-living-ecological spatial land use area change
The production land in production-living-ecological space of Shaanxi Province, i.e., cultivated production land, is mainly distributed in the middle of Guanzhong Plain. Living land includes urban land, rural residential areas, and other construction land, which are mainly distributed in the middle and some scattered in the West. Ecological land includes forest land ecological land, grassland ecological land, water area ecological land, and unused land. Ecological land is widely distributed (Fig. 2). Among the land use types of production-living-ecological space in Shaanxi Province from 2000 to 2020, the area of ecological land is the largest, followed by production land and living land (Table 3).
Production land
The area of production land has been decreasing from 2000 to 2020. From 71,867 in 2000 to 67,006 km2 in 2020, it decreased by 4861 km2 in 2020 compared with 2000. The proportion of production land decreased from 34.93 in 2000 to 32.57% in 2020, and the proportion of production land decreased by 2.36%. Due to the policy of returning farmland to forest and grassland in Shaanxi Province in recent years, the cultivated land area continues to decrease and the ecological land area has increased (Wang, et al. 2021a, b, c). The reduction of production land area from 2010 to 2020 is more than that from 2000 to 2010.
Ecological land
The area of ecological land has been increasing from 2000 to 2020. From 130,796 in 2000 to 133,117 km2 in 2020, a total increase of 2321 km2. The proportion of ecological land area has slowly increased from 63.58 to 64.71% in 20 years, an increase of 1.13%. The protection of ecological environment in Shaanxi Province has been paid more and more attention by the government and all sectors of society. The implementation of the policy of returning farmland to forest and grassland has promoted the management of ecological environment in Shaanxi Province (Wei, et al. 2021).
Living land
The area of living land has been increasing from 2000 to 2020. From 3063 in 2000 to 5603 km2 in 2020, a total increase of 2540 km2. The proportion of living land area has increased from 1.49 in 2000 to 2.72% in 2020, an increase of 82.93%. Among them, the growth rate from 2010 to 2020 is greater than that from 2000 to 2010, indicating that the urbanization process of Shaanxi Province is faster, the demand for living land is increased, the expansion speed is faster, and the contradiction between land supply and demand is further intensified (Zhang, et al. 2021a, b).
Transformation of land use structure
From 2000 to 2020, the land use pattern of Shaanxi Province has changed significantly. This paper superimposes and analyzes the land use data in different periods through ArcGIS software, obtains three land use transfer matrices from 2000 to 2010, 2010 to 2020, and 2000 to 2020, and defines the transformation direction and quantity between different land use types. From 2000 to 2010, the change of land use structure was small, and the transfer in and transfer out area of various land uses was small (Table 4). From 2010 to 2020, the land use structure changed greatly, and the transfer in and transfer out area of various land uses was large (Table 5). It can be seen that the transformation of land use structure has developed rapidly in recent 10 years (Niu and Du, 2021). Among them, the total area of water ecological land increased slightly from 2000 to 2010, but decreased from 2010 to 2020. The increase and decrease trend of other land types has not changed.
From the transfer out and transfer in area of land use structure transformation in Shaanxi Province from 2000 to 2020 (Table 3 and Table 6), the overall ecological land use is increasing from 130,796 in 2000 to 133,117 km2 in 2020. Among them, the largest change in the transferred-out area is grassland ecological land, with a total transferred-out area of 34,301 km2, accounting for 38.07% of the total transferred-out area. At the same time, grassland ecological land is also the largest transferred area, with a total transferred area of 35,822 km2, accounting for 39.76% of the total transferred area, and the overall area has increased. In addition, among the ecological land, the transfer out area of forest ecological land is 16945 km2 and the transfer in area is 18361 km2. The transfer in area is greater than the transfer out area, and the overall area increases. The transferred-out area of water ecological land is 1245 km2 and the transferred in area is 1080 km2. The transferred-out area is larger than the transferred in area, and the overall area decreases. In addition, the transferred-out area of unused ecological land is 2049 km2 and the transferred in area is 1598 km2, and the overall area is also decreasing.
In the production land from 2000 to 2020, the transfer out of cultivated land production land also changed greatly, with a transfer out area of 33,469 km2. Among them, 22,974 km2 of cultivated land production land is converted to grassland ecological land, with the largest transfer out area. Secondly, 6328 km2 of cultivated land production land is transferred to forest land ecological land, and the transfer out area is the second. The third transfer out area is urban and rural construction and living land, with a transfer out area of 3240 km2. It can be seen that most of the cultivated land production land is transferred out to grassland and forest land ecological land, followed by urban and rural construction and living land. This is closely related to the ecological protection policy of returning farmland to forest and grassland in Shaanxi Province in recent years (Wang, et al. 2021a, b, c).
In addition, with the acceleration of urbanization, various types of land are constantly transferred to urban and rural construction and living land. The transferred in area is 4635 km2 and the transferred-out area is 2095 km2. The transferred in area is larger than the transferred-out area, the total area increases, and the scope of urban and rural construction and living land continues to expand.
To sum up, with the development of urbanization, there are a large number of ecological land and living land occupying production land in Shaanxi Province. In this regard, Shaanxi Province should actively promote the protection of cultivated land, the balance of cultivated land occupation and compensation, and the linkage between the increase and decrease of construction land, improve the rational planning and layout of land use, and achieve the coordinated development of production, ecology, and living land space. It should not only improve the level of ecological environment governance and protection in Shaanxi Province but also protect cultivated land and other agricultural production land, and optimize the living land for urban and rural construction and industrial development pattern.
Ecological environmental effect of land use structure transformation
From the land area and eco-environmental quality index of production-living-ecological space in Shaanxi Province from 2000 to 2020 (Table 7), it can be found that the eco-environmental quality index of Shaanxi Province shows a continuous upward trend. The change of eco-environmental quality index reflects the development level of the overall ecological environment in Shaanxi Province, but the relative stability of the change range does not mean that there is no change in the ecological environment. The mutual transformation between local classes may have positive or negative effects on the ecological environment. In the change of ecological environment in Shaanxi Province, the impact of the transformation of various land use types on the ecological environment of Shaanxi Province is judged by analyzing the transformation of main functional land types and their ecological contribution rate of production-living-ecological space in Shaanxi Province from 2000 to 2020.
From the land type transformation of production-living-ecological space and its ecological contribution rate in Shaanxi Province from 2000 to 2020 (Table 8), it can be seen that the conversion of cultivated land production land to grassland ecological land is the leading factor for the improvement of ecological environment quality in Shaanxi Province, accounting for about 62.13% of the positive effect contribution rate of ecological environment. In addition, the conversion of cultivated land production land to forest land ecological land and forest land ecological land to grassland ecological land have also improved the ecological environment quality of Shaanxi Province to a certain extent, accounting for nearly one-quarter of the positive effect contribution rate of ecological environment. Secondly, the conversion of unused ecological land to grassland ecological land and the conversion of urban and rural construction and living land to cultivated land production land account for about 5.32% and 2.68% of the positive effects of ecological environment, respectively. The transformation of land use structure for the improvement of ecological environment in Shaanxi Province is relatively concentrated. First, other land types are transformed into grassland ecological land, then cultivated land production land is transformed into forest land ecological land, and urban and rural construction and living land is transformed into cultivated land production land, which account for more than 97% of the total contribution rate of positive effects of ecological environment. In the negative effects of ecological environment, the conversion of grassland ecological land to other land types is an important factor leading to the decline of ecological environment quality in Shaanxi Province, accounting for more than 83% of the contribution rate of negative effects of ecological environment. Among them, the conversion of grassland ecological land to cultivated land production land accounts for 58.03% of the negative contribution rate of ecological environment. In addition, the conversion of forest land ecological land to cultivated land production land and cultivated land production land to urban and rural construction and living land account for about 7.83% and 5.53% of the negative effects of ecological environment, respectively.
The improvement trend of ecological environment in Shaanxi Province is greater than the deterioration trend of ecological environment. Overall, the overall eco-environmental quality index remained between 0.55 and 0.57 from 2000 to 2020 (Table 7). The eco-environmental quality maintained a relative balance to a certain extent, but the local changes in its internal environment could not be ignored. Therefore, Shaanxi Province should timely adjust the land use structure and layout, improve relevant policies and planning, so as to promote the continuous improvement of ecological environment and the coordinated development of production, ecology, and living space.
Implications
The theoretical implications of this paper include (1) putting forward the secondary classification of land use with high eco-environmental resolution, (2) formulating the eco-environmental quality value of the secondary classification of land use based on ecosystem service value, and (3) constructing the eco-environmental quality index of land transformation in Shaanxi Province; the practical implication of this paper is to provide quantitative reference and guidance for the effective protection and high-quality development of ecological environment in Shaanxi Province.
Conclusion
Based on the collaborative perspective of production-living-ecological space, this paper analyzes the transformation of land use structure in Shaanxi Province through the land use transfer matrix, and quantitatively analyzes the effects of land use structure transformation on the ecological environment in Shaanxi Province from 2000 to 2020 by using the eco-environmental quality index and ecological contribution rate. The main conclusions are listed as follows:
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(1)
From 2000 to 2020, among the land use types in Shaanxi Province based on production-living-ecological space, the area of ecological land is the largest, the area of production land is the second, and the area of living land is the smallest. Land use change in Shaanxi Province is mainly reflected in the continuous reduction of production land area, with a total reduction of 4861 km2. The area of ecological land continues to increase, with a total increase of 2321 km2. The area of living land continues to increase, with a total increase of 2540 km2.
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(2)
From 2000 to 2020, among the secondary land types, the water ecological land increased slowly at first and then decreased, with an overall decrease of 165 km2. Forest ecological land increased rapidly at first and then slowly. Among other land use types, cultivated land production land and unused land ecological land continued to decrease, and the reduction rate increased. Urban and rural construction living land and grassland ecological land continued to increase, and the increase rate increased. In the transformation of land use structure in Shaanxi Province, the biggest change in area is the mutual transformation between cultivated land production land and grassland ecological land. The area of cultivated land transferred out into grassland is 22974 km2, and the area of grassland transferred into cultivated land is 20343 km2. The overall area of grassland has increased. Other land types have different degrees of mutual transformation.
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(3)
From 2000 to 2020, the eco-environmental quality index of Shaanxi Province showed a continuous upward trend. The conversion of cultivated land production land to grassland ecological land is the leading factor to improve the quality of ecological environment in Shaanxi Province. The occupation of grassland ecological land by other land types is an important factor leading to the decline of ecological environment quality.
The effect of land use structure transformation on eco-environmental quality is not only related to the transformation area of land use structure transformation studied in this paper but also related to the patch size, shape, and landscape pattern index of different land types. Therefore, in the follow-up research, the existing evaluation methods can be improved according to the more accurate remote sensing images and geospatial data, so as to more accurately calculate the impact of various land use structure transformation on the ecological environment, and further coordinate the layout and timing of production, ecological, and living land construction in Shaanxi Province, as well as the steady improvement of ecological environment effect.
Data availability
The datasets used or analyzed during the current study are available from the corresponding author on reasonable request.
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Funding
This work was supported by Shaanxi Province Soft Science Research Project (Grant nos. 2021KRM093), Joint Project of Major Theoretical and Practical Problems in the Social Sciences of Shaanxi Province (Grant nos. 20ST-98), Joint Project of Major Theoretical and Practical Problems in the Social Sciences of Shaanxi Province (Grant nos. 2021HZ0540), Social Science Fund of Shaanxi Province (Grant nos. 2020R051), and Xi’an University of Architecture and Technology Humanities and Social Sciences Special Project (Grant nos. SK20014; ZR20074).
Shaanxi Province Soft Science Research Project,2021KRM093,Chenxi Li,Joint Project of Major Theoretical and Practical Problems in the Social Sciences of Shaanxi Province,20ST-98,Chenxi Li,Social Science Fund of Shaanxi Province,2020R051,Chenxi Li
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Chenxi Li and Jingyao Wu contributed to the conception of the study; Chenxi Li performed the experiment; Jingyao Wu contributed significantly to analysis and manuscript preparation; Chenxi Li performed the data analyses and wrote the manuscript; and Jingyao Wu helped perform the analysis with constructive discussions.
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Li, C., Wu, J. Land use transformation and eco-environmental effects based on production-living-ecological spatial synergy: evidence from Shaanxi Province, China. Environ Sci Pollut Res 29, 41492–41504 (2022). https://doi.org/10.1007/s11356-022-18777-z
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DOI: https://doi.org/10.1007/s11356-022-18777-z