5.1. Determining Index Weight
Because the dimensions and units of each index in the evaluation system are different, it is impossible to compare and calculate directly. The non-dimensionalization of original indicators should be conducted first, and then the indicators should be weighted. In order to obtain a more objective weight, the entropy weight method is used to calculate the objective weight of the evaluation indicators in the study. The specific calculation steps are as follows:
- 1)
Standardize the original indicator data. The original data matrix is composed of f regions and n evaluation indicators in Suining County: (, ), is the ith index value of the jth region.
When the indicator is positive, its standardized formula is:
When the indicator is negative, its normalization formula is:
This results in a standardized evaluation matrix:
- 2)
In order to eliminate negative values, translation processing is conducted. Some index values may be small or negative after normalization processing. In order to unify and facilitate the calculation, the standardized values are translated to eliminate the above situation. Its formula is:
Among them, H is the magnitude of the index translation, which is generally taken as 1.
- 3)
The non-dimensionalization of index data is conducted by the proportion method, and its formula is:
- 4)
Calculate the entropy value of the jth index, and its formula is:
- 5)
The difference coefficient of the jth indicator is:
where
.
- 6)
The weight of the jth indicator is:
where
.
The weight of each index is seen in
Table 5.
5.2. Determining Evaluation Results
In this paper, the TOPSIS method is used to evaluate the spatial compactness, facility convenience, and spatial construction level of each administrative unit in the study area. The specific calculation steps are as follows:
- 1)
Standardize the original indicator data. The original data matrix is composed of f regions and n evaluation indicators in Suining County:
(, ), is the ith index value of the jth region.
When the indicator is positive, its standardized formula is:
When the indicator is negative, its normalization formula is:
This results in a standardized evaluation matrix:
- 2)
Vector normalization of indicator data
Vector normalization is performed on the processed data, and the vector normalization is transformed by the following formula:
Its biggest feature is that after normalization, the sum of squares of the same attribute value of each scheme is 1, so it is often used to calculate the Euclidean distance between each scheme and a certain virtual scheme (such as the ideal solution point or negative ideal solution point). Then, the weights are multiplied by the normalization matrix to obtain the weighted normalization matrix, and the formula is:
- 3)
Determine the positive ideal solution and the negative ideal solution.
Supposing that the value of the
jth attribute of the positive ideal solution
is
, and the value of the
jth attribute of the negative ideal solution
is
, then:
- 4)
Calculate the Euclidean distance of each scheme from the positive ideal point and the negative ideal point. According to the Euclidean distance, the calculation formulas for the distances:
and of each scheme i from the positive ideal point and the negative ideal point are:
The Equations (16) and (17) are used to obtain the distances from each scheme to the positive ideal solution and the negative ideal solution (
and
), and then the evaluation values of space compactness, facility convenience, and green livable level for each administrative unit
i in the study area of Suining County are calculated. The formula is as follows:
Since the evaluation of village and town space is to better promote the construction pace of urban and rural overall planning, the construction level and evaluation results of the space compactness and facility convenience of villages and towns need to be studied at the overall level of urban and rural areas. In order to facilitate the evaluation and analysis at the county scale, Suicheng Town (Chengguan Town), four industrial parks, and two economic development zones are comprehensively evaluated. Finally, the evaluation scores of spatial compactness, facility convenience, and the space construction level of each administrative unit in Suining County are obtained, and the results and ranking are as follows (
Table 7).
5.3. Analysis of Evaluation Results
In order to more scientifically and objectively classify the spatial development level of villages and towns in the study area and analyze its spatial pattern characteristics, the hierarchical clustering (Q-type) analysis method is selected with the help of SPSS 24.0 data statistical analysis software. The sample data are the above-mentioned statistical table of evaluation results. The inter-group link method is selected in the clustering process, and the Euclidean distance method is selected for distance measurement.
As seen in
Figure 5, the spatial compactness level of villages and towns in Suining County can be divided into four categories at most: Shaji Town (level one); Shuanggou Town, Qing’an Town, Liji Town, and Gupi Town (level two); Guanshan Town, Weiji Town, Liangji Town, Wangji Town, Taoyuan Town, and Gaozuo Town (level three); and Lingcheng Town, Yaoji Town, Qiuji Town, and Lanshan Town (level four). With Arc GIS 10.2 software, the visibility processing of the spatial differentiation characteristics of space compactness in Suining County is conducted. The results show that the spatial compactness level in the central area of Suining County is relatively high. Except for the four marginal villages and towns such as Shuanggou Town, Gupi Town, Liji Town and Shaji Town, the spatial compactness level of other villages and towns is relatively low. At the county scale, it roughly presents the spatial characteristics of the “X” pattern, decreasing from the middle to the surrounding (
Figure 6).
The reasons for its formation are analyzed: the central area of Suining is the location of the main urban area. Its urbanization process is relatively fast, and its economic development level is relatively high, which has formed the agglomeration economic effect of high-quality development. Therefore, this area has the highest level of spatial compactness. The geographical location of Shuanggou Town in the northwest is advantageous. Provincial Highway 252, National Highway 104, Huai’an–Xuzhou Expressway, and Xuzhou–Mingguang Expressway intersect vertically and horizontally in the town. Xuzhou International Guanyin Airport and Xusu Huaiyan High-speed Railway Shuanggou Station are also located in the territory, and it borders the urban area of Xuzhou City. It is one of the three major satellite cities in the periphery of Xuzhou City, and it is also the sub-center of Suining County. The establishment of the provincial Airport Economic Development Zone in 2016 has implanted a powerful engine for the construction of villages and towns in Shuanggou Town, and formed the coordinated development path of mutual promotion between industry and city under the guidance of “industrialization-urbanization” two-wheel drive, making it so the layout of its spatial structure, public facilities, and land-use function adjustments have gradually moved towards a centralized and intensive development mode, initially forming a cluster linkage development pattern of population concentration to town and industry concentration in development zones. Accompanied by the development trend of “village urbanization” [
37], it is necessary to further prevent the spread of village urbanization through the agglomeration and development of small towns. The ancient Pi Town in the northeast is historically known as the ancient city of Xiapi. It is the birthplace of the “Xiapi culture of the Han Dynasties”, with profound historical deposits. The Yishan Scenic Spot and ancient city site are located in the north of the town, and the tourism economy is developing rapidly. In addition, the central part of the town has superior ecological resources, and the Yellow River, the Xuhong River, and other water systems are intertwined. The largest freshwater reservoir in northern Jiangsu, the Qing’an Reservoir, is located in the south of the town. The overall terrain of the town is high in the northwest and low in the southeast. Because the ancient city ruins, mountains, and reservoirs in the town area belong to the prohibited and restricted development areas, and due to the provincial-level pilot program of “comprehensive land improvement in the old Yellow River watershed”, the construction of villages and towns has shown a pattern of agglomeration and development in the central region. Liji Town in the southwest has been an important trade and logistics town since ancient times. It is located at the junction of Jiangsu and Anhui, and is known as “Little Nanjing”. Its urbanization started early. In 2019, the urbanization rate exceeded 55%, and the built-up area exceeded 5 km
2. It has initially formed the spatial development pattern of large-scale agricultural concentration in the north (population inflow to towns) and large-scale industrial concentration in the south (population inflow to new rural communities). Shaji Town, in the southeast, borders the urban area of Suqian in the east, and the traffic conditions in the territory are convenient. The Huai’an–Xuzhou Expressway, Provincial Highway 324, the Xuhong River, and the Xusha River channel intersect here and directly connect with the Hongze Lake, the Luoma Lake, and Beijing Hangzhou Grand Canal. Shaji Port provides a strong driving force for the development of the water logistics industry. Especially in recent years, relying on the construction of e-commerce platforms and taking the path of e-commerce, promoting Dongfeng Village as a development model, has led to the formation of characteristic industrial clusters, promoted the agglomeration and development of industrial parks, made the population continue to agglomerate in townships, and walked out the “Shaji model” of digital economy, realizing rural revitalization. In other villages and towns, due to the lack of resource endowment, obvious transportation location advantages, leading industries, and radiation drive from the economic circle, the process of industrialization and urbanization has been severely restricted, resulting in a weaker level of economic development, decentralization, and the hollowing-out of villages. Therefore, the development centripetal force of villages and towns is not strong, and the level of space compactness is low.
As seen in
Figure 7, the level of facility convenience in villages and towns of Suining County can be divided into four categories at most: Gaozuo Town, Shuanggou Town, and Shaji Town (level one); Liji Town and Liangji Town (level two); Lingcheng Town, Taoyuan Town, Gupi Town, Qiuji Town, and Wangji Town (level three); Weiji Town, and Lanshan Town, Guanshan Town, Qing’an Town, and Yaoji Town (level four). With Arc GIS 10.2 software, the visibility processing of the spatial differentiation characteristics of facility convenience in Suining County is conducted. The results show that the level of facility convenience in the central and eastern regions of Suining County is relatively high. Except for five villages and towns such as Gaozuo Town, Liangji Town, Shaji Town, Shuanggou Town, and Liji Town, the level of facility convenience in other villages and towns is relatively low, showing the spatial characteristics of the right “人” (Chinese character) pattern at the county scale (
Figure 8). At the town scale, it can be seen that the facility convenience of each unit in the central urban area of Suining (including Suicheng Town, Economic Development Zone, Ningjiang Industrial Park, Bali Metal Electromechanical Industrial Park, and Taolan Chemical Industry Park) presents an obvious “agglomeration-dispersion” trend from the center to the periphery. However, the facility convenience of each village and town unit basically presents the spatial agglomeration characteristics of the “center-node” differentiation structure (
Table 8).
The reasons for its formation are analyzed: the central area of Suining is the location of the main urban area, its level of urbanization and economic development is relatively high, and the construction of infrastructure and public service facilities is relatively complete, so this area has the highest level of facility convenience. Due to the continuous expansion of urban construction, Liangji Town and Gaozuo Town, which are adjacent to the main urban area, have been included in the construction strategy of the integration in the north of the city and the new town in the east of the city. Especially when Suining High-speed Railway Station was put into operation at the border of Liangji Town in 2019, the main urban area has gradually accelerated the construction of the high-speed railway business district, and infrastructure and public service facilities have continued to radiate and gather in Liangji Town. At the same time, Liangji Town has accelerated its integration into the main urban area in terms of planning and construction and has continuously improved the construction level of public service facilities and infrastructure in the town. Driven by the radiation of Bali Metal Electromechanical Industrial Park and Ningjiang Industrial Park, Gaozuo Town has formed a high-tech industry agglomeration effect. The pace of the integrated development of industry and city has gradually accelerated, and infrastructure and public service facilities are seamlessly connected to the main urban area, realizing the interconnection. As Shuanggou Town and Shaji Town are adjacent to the urban areas of Xuzhou and Suqian, their location advantages are obvious. Driven by their radiation, they have formed an airport economic industry cluster and an e-commerce industry cluster, respectively. The development level of urbanization is relatively high, and the construction of infrastructure and public service facilities is relatively perfect. Liji Town has initially formed a relatively clustered development of townships, industrial areas, and communities. The layout of public service facilities is also relatively reasonable, and the infrastructure is interconnected, so the level of facility convenience is also high. In other villages and towns, it is relatively difficult to improve the level of public service facilities due to the lack of obvious location advantages, weak industrial foundation, and weak economic development level, so the level of facility convenience is relatively low.