1. Introduction
Since the 21st century, China’s urbanization has entered a rapid development stage and the spatial scale of cities has expanded, with many cities spreading in a ‘pancake’ style, which is an inefficient use of land resources and disorderly construction [
1]. The unplanned growth of land for construction has led to the erosion of the ecological base of cities and a serious imbalance between urban and rural development [
2]. An urban development boundary (UDB), also known as an urban growth boundary, is an important means to balance the social, economic, and ecological environment; optimize the structure of land use; and achieve sustainable development [
3]. A UBD can effectively prevent a series of problems including environmental damage and traffic congestion caused by ‘big city disease’ [
4]. For China, the scientific definition of the UDB and the coordination of land for ecological protection, basic agriculture, and construction and development are important issues to be solved in the spatial planning of national land allocation [
5].
The UDB concept originated from Howard’s ‘idyllic city theory’ in the 19th century. By the 1930s, the British Greater London District Plan used the urban periphery green belt as a physical boundary to limit urban sprawl [
6]; this was the initial exploration of boundary delineation. The concept of boundaries was then formally introduced in the United States under the ‘New Urbanism’ school of thought to limit the scale of spatial expansion by delineating suburban and urban boundaries [
7]. At the end of the 20th century, theories of compact cities and smart growth were proposed [
8], and the link between urban boundaries and land expansion began to be strengthened [
9].
It is always a critical goal to achieve urban renewal and curb urban sprawl in all developed or capitalist countries. The original cities experiencing urban sprawl were the US’s central and western emerging cities. This urban sprawl pattern expanded rapidly to Latin America, then Asia, and eventually became a global phenomenon [
10]. On the other hand, most European cities had developed differently from those in America and Asia, generally adhering to a monocentric growth pattern with an apparent hierarchy of centers and sub-centers, with expansion gathered around a dense historical center and its commercial and business expansion. There is an obvious political–administrative fragmentation in Italy’s urban system [
11]. Each city still designs its spatial development program independently, showing distinct social fragmentation, and significantly reducing social interaction and learning. In Spain, the distribution and expansion of cities led to a more considerable concentration of population, high heterogeneity of sprawl, and more dispersed industrial sites, etc. [
12]. In France, the decentralization rate decreased with urban growth, but the commuting distance of residents of polycentric areas did not systematically decrease, and the average distance from households to the city center increased [
13].
Moreover, many North American policies, such as the revitalization of urban centers, mixed-use urban regeneration plans for inner cities, and controlled sprawl growth boundaries, found their counterparts in European and especially British planning policies. The concepts of compact cities and controlled urban sprawl were a focused and growing topic of discussion among the British and European commentators on planning. Undoubtedly, the urban sprawl in the UK was strictly controlled, performing particularly effectively in major northern cities such as Liverpool [
14]. However, the population density in the UK will decrease due to housing costs and demand, which could increase the social isolation between the compact urban core and the expanding suburbs/periphery. In Germany, urban sprawl was most likely a product of specific legislative and political circumstances [
15]. The urban sprawl generally occurred with a shrinking population (some of them due to the shrinking economy), which implies that enhanced state intervention could guide the spatial development with the most remarkable capacity. However, this may lead to a widespread ‘perforation’ of German cities, as only those selected urban areas, particularly the most successful inner cities of the urban areas, are most likely to experience stabilization and further improvement.
Urban sprawl in Europe is influenced significantly by public policy and the public sector. Whether the policies can further promote compact and enclosed cities without adverse social consequences depends partly on whether housing costs follow the changes in housing demand [
16]. However, urban renewal has been used in some North American and Europe countries as a compromise with the ‘real estate boom’ under capitalist interference [
17]. Real estate development is a considerable economic influence that has terribly impacted wage-earning class communities and the essential availability of housing. Capitalism drives and forces people into those emerging cities where houses cannot be considered homes but just boxes where people can barely survive and work [
18]. This type of urban sprawl significantly increases social inequality and has horrible effects on the sustainable urban development of a country or region.
In 2006, China promulgated the Measures for the Preparation of Urban Planning [
19], which first proposed studying the spatial development boundary of central urban areas. Following this, many studies have examined the delineation of the UDB. Nowadays, the main delineation types are stable control, accelerated integration, and comprehensive coordination [
20]. The stable control approach concentrates on the bottom-line protection of urban ecology and arable land. The analysis focuses on the distribution of farmland [
21], landscape pattern [
22], and habitat quality [
23,
24], and it uses an ‘anti-planning’ idea to define the scope of construction land development [
25]. Accelerated integration is based on ecological protection, regulating the spatial competition between rural land and urban land [
26], and using population and economic data to identify the expansion intensity and direction of construction land [
27]. Comprehensive coordination focuses on the balance between urban development and the ecological bottom line, mostly using the method of setting ‘flexible’ boundaries in the development reserve area and ‘rigid’ boundaries in the ecological red line area [
28], which provides a hierarchical and classified analysis of the ‘demolition’ or ‘retention’ of construction land.
The delineation of the UDB based on the predictive simulation of land use patterns is a common method in Chinese and international studies. Among the analytical models for land use/cover change (LUCC), the most common are CLUEs [
29], cellular automata (CA) [
30] and artificial neural networks (ANNs) [
31]. The most common land demand forecasting methods are gray system models [
32], Markov chains [
33], and system dynamics (SD) [
34]. The future land use simulation (FLUS) model is also widely used in many studies [
35,
36,
37,
38]. Its adaptive inertia mechanism for roulette selection of land patches can simulate the coupled complexity of human social activities and the natural environment to identify future land use patterns with high accuracy [
39,
40]. The FLUS model can also be coupled with the morphological expansion and the erosion method (MED) to delineate the boundaries of land classes in different neighborhood windows based on the simulation results. Currently, in studies of UDB delineation at the municipal scale [
27,
36,
41], the scope for expansion owing to rigid intra-city demand cannot break through the fixed administrative boundaries. Thus, small-scale land simulations differ greatly from the actual land class competition and policy directions. This results in ongoing conflict between boundary delineation results and the maintenance of land planning trajectories. By excluding the constraining influence of administrative scope on urban expansion and defining the variable relationship of land competition, a level of objectivity and planning can be brought to the delineation of the UDB.
Zhengzhou is the capital city of Henan Province with a population of hundreds of millions; its urban spatial expansion is essential for economic development and accessibility. A UDB can effectively help the management of the spatial structure and smart growth of Zhengzhou to prevent the unplanned expansion of urban land, highlight the risk factors of ‘big city disease’, and promote the ecological protection and rational development of the Yellow River basin. On this basis, the current study took the whole city of Zhengzhou as the unit of analysis and focused on the concept of upper-level design guiding lower-level planning to delineate the development boundary of the central district to balance peripheral expansion and region-wide coordination. The land use data for three time points (2000, 2010 and 2020) were selected, and an auto-logistic model was used to screen the correlation of driving factors, an SD model was used to calculate the demand for different types of land development, and the FLUS model was used to predict the future land use pattern under the comprehensive development scenario. Finally, the MED method was applied to delineate and optimize the development boundary.
Therefore, the following sub-objectives of this paper are proposed: (1) to conduct a linear regression analysis of the driving factors that promote land or urban land use change, and this analysis enables the study to consider the influence of physical geography, location conditions, and socio-economic factors, which provides driving circumstances for the simulation prediction of subsequent research and improves the comprehensiveness and rigor of results; and (2) to conduct a simulation and prediction of future land use patterns. The reasonable results of future construction land prediction will be an important reference for delineating the UDB. With the method combining the historical land patterns and future changes, the degree and direction of urban expansion were expressed in a spatial form. It provided a scientific basis for urban renewal and boundary delimitation. (3) Delineate the UGB of the core zone of Zhengzhou and optimize the limited urban expansion by analyzing the interference of the ecological environment and agricultural production on the boundary to permit urban expansion within a specific reasonable range to achieve the optimal sustainable development. The paper mainly provides a systematic process for delineating the UDB: driving force action, land simulation prediction, and boundary definition and adjustment. The research system and theory breaks through the obstacles of public policies on urban development, which not only meet the rigid demands of residents but also realize the renewal and further development of the city and do not violate the law of natural growth. This study provides a technical reference for delineating the development boundaries of global cities, urban agglomerations, and even larger scales. It provides a vital basis for those urban decision-makers to allocate public service resources and realize the prospective development of construction land.