3.2.1. Explanatory Variables
This paper measures inter-firm land allocation through the concept of land allocation efficiency. According to factor allocation theory, a perfectly competitive market achieves the optimal allocation of resources. At this optimum, the factor prices faced by enterprises are equal to the marginal returns of those factors. However, due to various non-market distortions, the equilibrium allocation in the real economy often deviates from this benchmark [
31]. Such deviations are reflected in large disparities in firms’ marginal returns to factors [
32,
33,
34]. When the deviation is small—meaning the actual allocation is closer to the optimal level—allocation efficiency is higher; conversely, larger deviations imply lower efficiency. Accordingly, inter-firm land allocation efficiency is defined as the degree to which the actual allocation of land among enterprises approaches the optimal allocation in the real economy. When the actual allocation converges toward the optimal benchmark, efficiency improves, as evidenced by smaller differences in marginal returns to land across firms. The measurement of inter-firm land allocation efficiency follows the covariance method proposed by Olley and Pakes. In industries where the productivity of firms is misaligned with the factor shares they command, allocation efficiency is lost. If factors flow from less productive to more productive firms, the overall allocation improves. Olley and Pakes capture this improvement as an increase in the covariance between firms’ factor shares and their total factor productivity (TFP), i.e., by calculating the covariance of each firm’s factor share with its TFP to represent intra-industry allocation efficiency. Duranton et al. extend this approach to land factors. Building on Olley and Pakes and Duranton et al., this paper constructs a measure of inter-firm land allocation efficiency [
35,
36].
As shown in Equation (2), the weighted productivity
of a group of firms in industry j in city c can be split into two parts: First, the arithmetic mean of total factor productivity of firms representing industry productivity levels
; The second is the covariance between firms‘ total factor productivity, which represents the level of factor allocation in the industry, and firms’ land factor stocks. Where
denotes the productivity of firm i;
denotes the share of land held by firm i in industry j;
;
At this point, the efficiency of land allocation between firms at the city-industry level (
) can be expressed as the difference between weighted productivity and arithmetic mean productivity:
In Equation (3), the functional equation for inter-firm land allocation efficiency can be understood as follows: in city c, industry j, inter-firm land allocation efficiency is determined by the correlation between the share of land held by micro-firms and their total factor productivity.
The inter-firm land allocation efficiency at the city-industry level (
) is further aggregated to the city level (
) through weighted averages based on industry j’s share of land in the city as a whole (
):
The above methods need to be adapted to large samples of microenterprise data.
This paper uses a newly available dataset, the National Enterprise Tax Survey Database (2007–2016). This database, jointly managed by China’s Ministry of Finance and the State Administration of Taxation (SAT), is collected annually by local tax authorities and covers all industries. It contains basic enterprise information, input–output details, financial status, and tax payments. Most importantly, it provides detailed records on each enterprise’s land-use, including land purchases, land holdings, land transfers, and land-related taxes. The survey sample is highly representative, accounting for approximately 65 percent of total national tax payments and 66 percent of national value added. For data cleaning, this study applied the following procedures: (1) In general, the land area of enterprises remains stable over many consecutive years, which was confirmed during data validation. Therefore, missing floor-space values for certain years were imputed using available data on the same enterprises in other years. (2) While the original dataset typically reports industrial value added, some years (e.g., 2015) contain missing observations. These missing values were estimated following standard accounting methods. (3) Observations with problematic values—such as “net fixed assets,” “new fixed asset investment,” “industrial value added,” “land area of firms,” or “number of employees” less than or equal to zero, or missing altogether—were excluded. (4) Enterprises for which city identifiers or ownership type could not be determined were also excluded. After cleaning, the final dataset contains 114,365 usable observations, covering 389,058 enterprises across 92 industries in 261 cities.
While the Olley–Pakes (OP) covariance decomposition was originally developed to measure productivity dynamics in specific manufacturing industries, its application to the Chinese context requires several adaptations. First, given the large number of firms and the substantial industry heterogeneity in China, we implement the OP measure at the city–industry level and then aggregate it to the city level. This approach ensures that the covariance between firms’ land shares and productivity captures within-industry allocation efficiency while remaining comparable across regions. Second, because China’s land market is characterized by imperfect competition and strong government intervention—factors that often distort the alignment between firm productivity and land-use—the OP covariance method is well suited in this context, as it directly reflects the extent to which more productive firms are able to command a greater share of land resources. Third, by relying on firm-level microdata from a nationally representative survey, we reduce measurement error and better account for the pronounced spatial and institutional heterogeneity of China’s economy. Collectively, these adaptations make the OP framework not only valid but also particularly informative for analyzing land allocation efficiency in China’s urban economy.
To provide an intuitive illustration of the explanatory variable,
Figure 1 presents the national average trend of inter-firm land allocation efficiency from 2007 to 2016. The index shows a steady upward trajectory over this period, reflecting continuous improvements in the alignment between firm-level productivity and land-use. This upward trend provides preliminary evidence that land allocation efficiency has gradually improved over time, with important implications for the development of new quality productive forces.
3.2.2. Explained Variables
Although the concept of NQP has only recently emerged in Chinese policy and academic discourse, its underlying rationale is consistent with long-standing theories of productivity and growth. Classical growth accounting emphasizes that sustained output expansion depends primarily on efficiency improvements rather than the mere accumulation of inputs, with TFP serving as the residual measure that captures technological progress and institutional quality. Building on this foundation, integrative studies further highlight the importance of resource allocation, organizational change, and the growing role of intangible and digital assets in shaping modern productivity dynamics. Positioning NQP within this broader framework reinforces that it is not a departure from established international theory but rather a context-specific operationalization aligned with mainstream productivity research. Conceptually, our NQP composite—constructed from innovation, industrial upgrading, and enabling conditions—can be mapped onto conventional productivity notions widely used in international economics. Innovation and industrial sophistication correspond to improvements in technical efficiency and technological progress, while enabling conditions capture the institutional and human-capital environment in which productivity is realized. This design is consistent with the mainstream understanding of TFP, which has been the core residual measure of growth since Solow’s seminal contribution [
37]. Therefore, NQP should not be regarded as a departure from the established framework of total factor productivity (TFP), but rather as its contextualized extension under China’s ongoing structural transformation. Classical TFP focuses on capturing the residual efficiency of factor use once capital and labor inputs are accounted for, thereby serving as the benchmark for international productivity comparisons. In contrast, NQP specifies the channels through which such efficiency gains are realized—namely technological innovation, industrial upgrading, and enabling conditions such as human capital and institutional support. By explicitly incorporating these dimensions, NQP reflects how productivity improvements are increasingly driven by intangible assets, digital infrastructure, and organizational capital, which are often underrepresented in conventional TFP indices. In this sense, NQP remains theoretically consistent with TFP while offering a more fine-grained and policy-relevant measure of productivity in economies undergoing rapid structural change. This design also enhances its comparability and transferability across different contexts, providing a bridge between China’s developmental experience and international debates on the sources of sustainable growth. Recent reviews emphasize that productivity measurement depends not only on technological efficiency but also on broader methodological choices, including the incorporation of intangible capital and digital inputs that increasingly shape modern growth dynamics [
38,
39]. By adopting an entropy–TOPSIS approach, our index offers a transparent and systematic method for weighting multiple drivers of productivity, thereby aligning with these broader international measurement perspectives. In the robustness section, we further examine the correspondence between NQP and alternative productivity proxies, which strengthens its comparability with internationally recognized indicators.
Regarding the measurement of new quality productivity (NQP), existing studies generally proceed from two perspectives: (i) considering the three fundamental production elements, and (ii) examining their optimal combinations [
26,
40]. This paper argues that the evaluation of NQP should incorporate three dimensions: scientific and technological innovation, industrial upgrading, and enabling conditions.
First, scientific and technological innovation is the core driving force of NQP. Compared with traditional productivity, NQP represents a qualitative leap, with science and technology as its primary driver, higher performance, and a strong reliance on continuous technological advancement [
1]. To quantify innovation, this paper employs two indicators: patent R&D intensity, reflecting the intensity of regional innovation activities, and enterprise technological innovation capacity, reflecting firms’ performance in technology transformation and innovation practice. Second, industrial upgrading is a key pathway to high-quality economic development. NQP is achieved as enterprises recombine factors of production to advance industrial transformation. To measure industrial upgrading, this paper uses two indicators: the level of rationalization, reflecting the degree of resource allocation optimization, and the level of sophistication, capturing the extent of industrial structure transformation and upgrading. Finally, enabling conditions provide the necessary social and economic support for the development of NQP. At the early stages of industrialization, state support is essential in terms of finance and policy. Likewise, without sufficient human capital, enterprises cannot sustain technological innovation or industrial upgrading. To capture these conditions, this paper adopts four indicators: human capital level (measured by the share of higher education talent), degree of industrialization, share of education expenditure in total government spending, and share of science and technology expenditure in total government spending. These indicators, respectively, reflect human capital endowment, economic infrastructure development, industrialization level, and government investment in education and science and technology.
In the measurement method, entropy weight-TOPSIS method is used for comprehensive evaluation. The data were obtained from official statistics such as China Statistical Yearbook, China Tertiary Industry Statistical Yearbook, China Industrial Statistical Yearbook, China Science and Technology Statistical Yearbook and China Trade and Foreign Economic Statistics Yearbook. The specific framework for measuring new quality productivity is shown in
Table 1 below.
As shown in
Figure 2, the national average NQP index has exhibited a steady upward trend from 2007 to 2016, reflecting continuous improvements in innovation, industrial upgrading, and enabling conditions.
3.2.3. Control Variables
With reference to existing studies, this paper also incorporates a series of control variables that may affect the development of new quality productivity (NQP): (1) Level of economic development (Pergdp): measured by GDP per capita, adjusted to 2007 constant prices. This variable controls for differences in regional economic development that may influence NQP. (2) Population agglomeration (Density): measured by the logarithm of population density, capturing the effects of economies of scale and knowledge spillovers associated with urban agglomeration. (3) Infrastructure (Road): measured by the ratio of total road area at year-end to total population, controlling for the potential impact of accessibility on productivity. (4) Openness to the outside world (Open): measured by total imports and exports as a share of GDP, capturing the effect of regional economic openness on productivity. (5) Government intervention (Government): measured by government fiscal expenditure as a share of GDP. Through investment and fiscal policy, government activity can directly shape regional economic structures, infrastructure development, and enterprise growth, thereby influencing productivity.
The data for these control variables are mainly drawn from the China Statistical Yearbook, China Tertiary Industry Statistical Yearbook, China Industrial Statistical Yearbook, China Science and Technology Statistical Yearbook, China Trade and Foreign Economy Statistical Yearbook, and various local statistical yearbooks.
3.2.4. Moderating Variables
Scale of capital factors: In the process of promoting high-quality economic development, the flow and allocation of capital are crucial, and the improvement of the financial system provides the foundation for such flows. Therefore, this paper measures the scale of capital factors by the ratio of year-end deposit and loan balances of financial institutions to GDP.
Labor mobility: Following existing studies, this paper measures labor mobility using the ratio of interregional population inflows to outflows, i.e., the net inflow of labor.
High-skilled labor mobility: This paper adopts the method proposed by Hai-Ping Lü, who uses interregional wage levels and economic development levels as attractiveness factors to simulate the scale and direction of innovative talent flows [
42]. After calculating the inflows and outflows of innovative talent, high-skilled labor mobility is measured as the ratio of inflow to outflow.
Scale of data factors: Digital infrastructure reflects the capacity for information transmission, data storage, and computing power. By measuring both the inputs and outputs of digital infrastructure, it is possible to obtain a comprehensive assessment of the regional scale of data factors. In this paper, digital infrastructure is divided into input and output indicators, and the overall scale of data factors is calculated using the entropy-weight method.
The data for the moderating variables are mainly drawn from the China Statistical Yearbook, China Urban Statistical Yearbook, and statistical yearbooks and bulletins of provinces and cities. Descriptive statistics for the main variables are presented in
Table 2.