2.1. Conceptual Framework
The Rosen–Roback model illustrates how differences in productivity and amenities among cities determine differences in house prices and wages [
24,
28]. We used the Rosen–Roback model to estimate the demand for UGS by urban residents for factors that have an impact on housing prices, which include the treatment variables and urban characteristics. With the Rosen–Roback model, the marginal price of UGS, or willingness to pay(WTP), can be identified, thus achieving a monetized measure of residents’ demand for UGS [
29]. The following example of our empirical analysis is for city
i observed in year
t, and our study period is from 2010 to 2017. The Rosen–Roback model is applied as shown in Model (1).
where
is the average house price of city
i in year
t,
is the level of UGS of the city
i in year
t,
is the control variable,
is the city fixed effect, and
is the error term.
is a constant term,
captures the marginal price of UGS, and the coefficients of
to be estimated represent the contribution of
to house prices. Moreover, we set the significance level at alpha = 0.1, 0.05, and 0.01 to test the reliability of results.
We formulate three hypotheses to be tested. First, renters and home buyers have a heterogeneous demand for UGS. Second, there exist dynamic changes in residents’ demands for UGS over the study period. Third, residents in cities with different characteristics have a heterogeneous demand for UGS. The empirical model based on the Rosen–Roback model above (as shown in Model (1)) is adjusted to verify these three hypotheses.
To identify the heterogeneous demands for UGS by renters and home buyers,
is replaced with the local rent price (
) in Model (2), which is based on the same control variable
. The coefficient of
represents the renters’ WTP for UGS. Comparing the results of Model (1) to Model (2) reveals the heterogeneous demands of renters and buyers. The expectation is that home buyers will care more about UGS than the house renters because the former may be more concerned about the quality of life.
To evaluate the dynamic in residents’ requirements from 2010 to 2017, the interaction term
is used. The dummy variable
Time represents the observation period, and the samples are divided into two observation periods, which are from 2010 to 2013 and from 2014 to 2017.
represents the observation period from 2014 to 2017, and
represents the observation period from 2010 to 2013.
denotes the difference between the marginal price of UGS from 2014 to 2017 and that from 2010 to 2013. We expect to find that the demand for UGS by urban residents has continuously increased because people’s concern for it may increase every year, in which case,
would be positive and statistically significant.
Considering the heterogeneous demand for UGS by residents in cities with different characteristics, we divide the cities into two groups based on their population density (the population density in this paper is calculated by dividing the total population of the municipal district by the land area of the municipal district), gross domestic product (GDP), and whether the city has been designated as a National Forest City. We first divide the cities into two groups based on population density, that is, high and low population densities. Then, we use the dummy variable
D_Density to indicate the level of the population density of a city. Specifically,
D_Density = 1 represents a city with a high population density, and
D_Density = 0 represents a city with a low population density. An interaction term between
and
D_Density is added in Model (4), which is based on controlling for the factor
. Then, we perform a first-order derivation of Model (4) to obtain Equation (5). In Equation (5),
represents the difference between the WTP of residents in cities with high and low population densities,
represents the WTP of residents in cities with low population densities, and
represents the WTP of residents in cities with high population densities. We expect that the WTP of residents in cities with high population densities would be larger than that in cities with low population densities, in which case,
would be positive. A possible explanation is that the UGS is a scarce resource in cities with higher population densities, which leads to rising marginal prices of UGS. The same approach is applied to analyze the heterogeneous demands of residents in cities with different economic levels and to evaluate differences between cities with and without the National Forest Cities designation.
2.2. Definition of Variables and Basic Descriptive Statistics
Our dataset included the treatment variables of UGS, the urban characteristics, and dummy variables for city classification. First, we defined UGS from two dimensions, which were the quantity and quality of the park area. The park area (TPA) represents the total area of parks, and the per capita park area (PPA) represents the quality of the park area. The urban characteristics mainly refer to two aspects, namely, economic level and population size. The local economic level is one of the key factors that affect housing prices and rent. Per capita GDP (PGDP) was selected to represent the urban economic level. Household income reflects the purchasing power of households, which directly affects housing transactions. Per capita disposable income (DI) was selected to represent household income. We also controlled for real estate investment (REI), which represents the scale of a city’s real estate supply in the future and has an important impact on the scale of real estate supply and the relation between market supply and demand [
30]. Next, the population size was incorporated, as it reflects the demand of the real estate market. A city with a large population size may have a shortage of housing resources, thereby raising house prices. The permanent resident population (POP) was selected to represent the population size. Finally, the dummy variables (D_Density, D_GDP, and D_NFC) were defined to distinguish different urban characteristics, including population density, GDP, and whether the city is a National Forest City.
We obtained panel data from 285 prefecture-level cities from 2010 to 2017 to evaluate the impacts of UGS on house prices and rents across cities. The data sources were China City Statistical Yearbooks for 2011–2018, China Urban Construction Statistical Yearbooks for 2011–2018, and the statistical yearbooks of each province. To reduce the impacts of heteroscedasticity and skewness, we used the logarithmic values of HP, RENT, PGDP, POP, DI, and REI. The definitions and descriptive statistics of the main variables are shown in
Table 1.
2.3. Descriptive Statistics of the Spatial Heterogeneity
Figure 1 shows that cities with lower housing prices and rents are concentrated in the north. Cities with higher house prices and rents are concentrated in the southeast coastal areas with higher population densities and economic levels and include Shanghai, Jiangsu, Zhejiang, and Fujian. However, cities with higher rents are also concentrated in the central region and include Hubei, Hunan, and Guangxi.
In
Figure 2, it is readily apparent that parks are more densely distributed in the east than in the west. Cities with relatively larger park areas are located in eastern China, especially in the southeast coastal area. In contrast to
Figure 1;
Figure 2, we found that cities with higher population densities and economic levels, such as Shanghai, Jiangsu, and Zhejiang, tend to have larger park areas. Therefore, we inferred that residents in cities with higher population densities and economic levels may have a higher demand for UGS than those in cities with lower population density and economic levels.
Furthermore, we divided cities into two groups based on population density and GDP.
Figure 3 shows that the park area in different types of cities has continued to grow, with significant differences in the park areas between cities at different population densities and economic levels. The cities with high population densities and economic levels have larger park areas than cities with low population densities and economic levels.