The Impact of Entrepreneurship on Economic Growth within a City

: Entrepreneurship usually takes place in innovative systems, mostly in cities. Cities, with unique features, may alter the impact of entrepreneurship. This paper employs multiple regression models to assess the impact of entrepreneurship on economic growth, considering the moderation effect of the city context. We use Gross Domestic Product (GDP) as the dependent variable and government spending, labor, ﬁxed and ﬁnancial capital and entrepreneurship as the independent variables. The data are from the 2003–2017 yearbooks of Zhaoqing, Shantou and Meizhou (three cities with distinct cultural and geographic features in Guangdong, China). We conclude that (1) the three cities’ GDPs highly rely on traditional factors of production (i.e., government spending, labor and ﬁxed and ﬁnancial capital) rather than entrepreneurship and (2) the city context of Meizhou is relatively unsupportive of its entrepreneurship contributing to the GDP, in comparison with that of Zhaoqing and Shantou. This study adds to the literature by empirically assessing and comparing three cities’ entrepreneurship development in China; it also informs scholars and practitioners of the moderation effect of the city context.


Introduction
As West [1] put it: "If we therefore insist on continuous open-ended growth, not only does the pace of life inevitably quicken, but we must innovate at a faster and faster rate" (p. 31). To sustain the economy, we need continuous innovation and entrepreneurship, which usually takes place in cities. With tangible and intangible features, cities affect entrepreneurship efforts and outcomes in various ways. For example, a city's culture, as a place-specific feature, may bolster the city's entrepreneurial activities over a long period of time [2][3][4][5][6].
Studies on entrepreneurship and growth cover a wide range of fields (e.g., macroeconomy, microeconomy, economic welfare) at different geographic levels and across different areas [7,8]. At the country level, Van Stel et al. [9] estimates the macro-economic effects of entrepreneurship across 26 OECD countries and finds that the equilibrium rate of solo self-employment is independent of the levels of economic development and (both positive and negative) deviations from the equilibrium rate would diminish growth. Conversely, Nikolaev et al. [7] reveal that the levels of economic freedom are the strongest indicator for entrepreneurship based on a world sample of 73 countries. At the regional level, most studies focus on the role of entrepreneurial ecosystems [10][11][12][13] and the role of their components such as culture, geography and institutions [14][15][16].
This study assesses the impact of entrepreneurship on economic growth in three cities in China, considering the moderation effect of the city context (e.g., culture, geography, institution). The paper is organized as follows. Section 2 summarizes relevant literature on the relationship between entrepreneurship and economic growth as well as the measurement of entrepreneurship. Section 3 introduces the data source (three cities in Guangdong, China) and research method (multiple regression). Section 4 presents the results of multiple regression models. Section 5 discusses the findings, reflects on the method and links to the literature. Section 6 concludes the research.

Literature Review
In general, entrepreneurship promotes economic growth for its innovative nature [17][18][19][20][21][22][23]. As the neoclassical theories suggest, growth is mainly determined by fixed capital, financial capital, labor, technology and entrepreneurship [24,25]. Entrepreneurs promote growth by managing resources in new ways [26]. This innovative type of growth is more organic than the type of growth relying on physical capital. However, entrepreneurship may also curb growth [5,8,27]. It is understandable that as a popular term, it may attract more money and people than it truly deserves, resulting in an unreasonable allocation of resources.
The context (or ecosystem) may affect the relationship between entrepreneurship and economic growth. Theoretical and empirical studies have explored the components, conditions and processes of ecosystems conducive to or inhibitive of entrepreneurship [5,[28][29][30]. For example, Isenberg [31] formulates six critical components of an entrepreneurial ecosystem (i.e., policy, finance, culture, supports, human capital and markets). The World Economic Forum [30] finds that access to markets and high-quality human and financial capital are favorable conditions for successful entrepreneurship. Recently, Stam and van de Ven [29] laid out the procedural structure of a theoretical ecosystem with three layers, that is, institutional arrangements, resource endowments and output (i.e., productive entrepreneurship), which suggests that entrepreneurship can be viewed as an emergent phenomenon in complex systems. Meanwhile, the ecosystem can also be considered as a context that moderates the relationship between entrepreneurship and growth [10,32]. In sum, the ecosystem may derive entrepreneurship or be the platform of the relationship between entrepreneurship and economic outcome.
To measure entrepreneurship, researchers mainly take five perspectives: self-employment, new firm formation, early-stage entrepreneurship, necessity entrepreneurship and opportunity entrepreneurship [33,34]. The first two (i.e., self-employment, new firm formation) apply to almost any entrepreneurship research, while the other three have special focuses. Entrepreneurship essentially means to create something new; self-employment can be considered as a sole proprietorship that encourages innovation. The new firm formation is an extended version of self-employment; it is a key metric because new ways of production are usually carried out by a firm. Early-stage entrepreneurship depicts the critical period of the life and death of entrepreneurial attempts; it is the main driver of growth, knowledge diffusion and new job creation [7,35,36]. Necessity and opportunity entrepreneurship discusses the causes and consequences for different types of entrepreneurship. Necessity entrepreneurship suggests that the entrepreneur has no better alternative career choice; opportunity entrepreneurship suggests that the entrepreneur aims to take advantage of a business opportunity. Additionally, entrepreneurship can be measured indirectly through innovation [35,37] or competition [38][39][40].

Data
We use data from the 2003-2017 yearbooks of three cities, Zhaoqing (ZQ), Shantou (ST) and Meizhou (MZ) in Guangdong, China [41][42][43]. These cities have similar population sizes but distinct cultures and geographic features. Zhaoqing is the birthplace of Guangfu culture (e.g., embracing, metropolitan) and the Cantonese language, which is the official dialect in Guangdong province. The city has an area of about 15,000 square kilometers and a population of about 4.1 million, as of 2019; it is also the closest to the provincial capital, Guangzhou (about 110 kilometers away). Conversely, ST and MZ are located at about equal distance from the provincial capital (about 420 kilometers away). ST represents the Chaoshan culture (e.g., hardworking, business-oriented). It is a coastal city with a population size of about 4.2 million, as of 2019; its area size is about 2199 square kilometers, much smaller than the other two cities. MZ represents the Kejia culture (e.g., traditional, self-sufficient). It is located in a remote mountainous area at the provincial border, with an area of about 15,865 square kilometers and a population of about 5.5 million, as of 2019.

Methods
According to neoclassical economic theories [24,25], growth is mainly determined by fixed capital, financial capital, labor, technology and entrepreneurship. We assume that the technology levels are unchanged in the study areas during the study period. We additionally take government spending into consideration since growth is measured by Gross Domestic Product (GDP). In other words, growth (GDP) is a function of fixed capital, financial capital, labor and government spending.
We use two models to assess the relationship between entrepreneurship and growth.  (2). By introducing city dummies, Model 2 allows comparisons among the individual cities. In Model 2, we consider the moderation (rather than mediation) effect of the city context on the impact of entrepreneurship on growth, shown in Figure 1. To operationalize the moderation effect, we add interaction terms between city dummies and entrepreneurship indicators to the equation. Note that Model 2 has three dummies for three cities-this is just for expression convenience. When two of the dummies are in operation, the last one will be omitted. Model 1: Y = α + β 1 X 1 +β 2 X 2 +β 3 X 3 +β 4 X 4 +β 5 X 5 +β 6 X 6 +β 7 X 7 +β 8 X 8 +β 9 X 9 +ε (1) Model 2: Y = α + β 1 X 1 +β 2 X 2 +β 3 X 3 +β 4 X 4 +β 5 X 5 +β 6 X 6 +β 7 X 7 +β 8 X 8 +β 9 X 9 +β 10 D 1 +β 11 D 2 +β 12 D 3 where, Y-GDP X k -Potential independent variables, k=1, 2 . . . 9; see Table 1 for denotations. D j -City dummies, j = 1, 2, 3; see Table 1 for denotations. α, β i -Coefficients to be estimated, i = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. E-Error term As shown in Table 1, we use nine potential variables to represent each of the four components suggested by neoclassical economic theories. Variables X 5 , X 8 and X 9 represent fixed and financial capitals; X 6 represents government spending; X 7 represents labor; and X 1 , X 2 , X 3 and X 4 represent entrepreneurship. X 1 and X 2 , two private enterprise metrics, can represent entrepreneurship because private enterprises own much autonomy compared to China's state-owned enterprises. The number of enterprises (X 1 ) also imply competition (which affects innovation). X 2 is a substitute for self-employment rate and X 3 is a substitute for new firm formation rate, due to the lack of direct measurement data. X 4 measures how much a city emphasizes R&D, a key activity toward innovation.

Results
As the descriptive statistics show, each city has a consecutive 15 years of data, ZQ's and ST's GDPs are over two hundred billion Yuan, twice that of MZ (Table 2). However, MZ's number of private enterprises (7014) is more than that of ZQ (6132) and less than that of ST (10971), which is not consistent with the ranks of the cities' GDP. This suggests that private enterprises in MZ might not be effective in adding value to the economy. Additionally, the industrial R&D ratio in MZ is quite low, 40% of that in ZQ and 0.3% of that in ST; this aligns with the traditional and self-sufficient culture in MZ.
As the correlation results show, each city's GDP is highly correlated with the traditional factors; the coefficients are generally over 0.8. Almost any of the traditional factors of production can be the sole predictor of GDP; the factors may also replace one another without compromising the fitness level of the model. Additionally, the city dummies ZQ and ST have similar correlation patterns but the city dummy MZ has negative correlations with all other variables, indicating that MZ's growth generally is less desirable than the other two cities.  Table 3 shows the estimation results of Model 1 and Model 2. Model 1 estimates the relationship for three cities individually. For ZQ, X 6 is the only explanatory variable. Given X 6 's correlation coefficient (0.996) with the GDP, the model's fitness (adjusted R-squared) remains over 99%. For ST, fixed and financial capital are the best predictors. MZ is the only city that has an entrepreneurship indicator, X 2 , among the best predictors. Interestingly, MZ's X 7 negatively affects GDP. Considering MZ as a remote city with traditional culture, this relationship can be explained by the city's transformation from low to high productivity, which reduces labor but increases GDP.  Note: * p < 0.1; ** p < 0.05; *** p < 0.01.
Model 2 estimates the relationship for three cities combined. The result shows that (1) overall, a city's labor (employment size) and financial loans positively contribute to its GDP; and (2) the number of private enterprises in MZ contributes slightly less to its GDP than those in ZQ and ST, indicated by the interaction term between X 1 (number of private enterprises) and MZ (city dummy). In other words, the moderation effect of the city context in MZ hampers the impact of entrepreneurship on growth.

Discussion
This research finds that traditional factors of production are still the main contributors to each city's GDP and that the number of private enterprises in MZ contributes slightly less to its GDP than those in ZQ and ST. The first result is expected. Since they are the third-tier cities in China, it is understandable that their regional entrepreneurship has not played a key role in economic activity. As for the second result, it is also expected, since MZ is remotely located in the inland mountainous area, unlike Zhaoqin and Shantou. After all, access to markets is one of the crucial factors for successful entrepreneurship [5,30,44] The research design of this study is similar to that of Belitski and Desai [10], which assessed the relationship between creativity and urban economic development considering the moderation effect of the melting pot environment (as one of its hypotheses, i.e., H1b). In other words, the city context or melting pot environment (both are synonyms for the entrepreneurial ecosystem) plays a moderation role in the relationship between factors of production (including entrepreneurship) and economic outcome. However, the entrepreneurial ecosystem may also derive productive entrepreneurship directly [5]. Therefore, the entrepreneurial ecosystem may play two roles at the same time, i.e., generating entrepreneurship and moderating the relationship between entrepreneurship and the economic outcome.
When it comes to the selection of independent variables, this study relies on the traditional factors of production and a few entrepreneurship indicators. This enables a clear comparison between the roles of the traditional factors and entrepreneurship. As it turns out, the entrepreneurship indicators are not significant contributors to the GDP. This is not surprising, as we use linear regression models to assess the relationship. As Fritsch and Fritsch [21] points out, among the two main methods in the literature, while production functions could not render a causal relationship, linear regressions (usually with lags) may underestimate the impact of entrepreneurship because growth may be attributed to labor and capital rather than entrepreneurship (the way the two are organized). Note that we also have tried regression models with 1-year lags; the results are the same as reported in this paper without the lags.
The limitation of this research lies in the selection and measurement of the variables. Firstly, it does not include variables representing the role of entrepreneurs and their networks (e.g., support systems and mentors, education and training, major universities), as indicated in the literature [30,44]. Instead, this research generalizes the ecosystem as a dummy variable. Additionally, the measurement of the variables is coarse due to the lack of data. The scope and accuracy of data are relatively underdeveloped in the study area.

Conclusions
This research explores the relationship between regional entrepreneurship and economic growth, considering the moderation effect of the city context. We estimate the relationship for three cities separately (Model 1) and combined (Model 2). On the one hand, the regression results for individual cities reveal that traditional factors of production are still the main contributors to each city's GDP. On the other hand, the result for the combined three-city sample shows the overall and comparative characteristics of the relationship. Overall, the labor and financial capitals are the main contributors to the GDP. Comparatively, the negative coefficient of the interaction term (between the number of private enterprises and MZ) suggests that the number of private enterprises in MZ contributes slightly less to its GDP than those in ZQ and ST.
We conclude that (1) the three cities' GDPs highly rely on traditional factors of production (i.e., government spending, labor and fixed and financial capital) rather than entrepreneurship and (2) the city context of Meizhou is relatively unsupportive of its entrepreneurship contributing to the GDP, compared with that of Zhaoqing and Shantou. To advance this research, we may look into the people, networks and institutions within an ecosystem especially the role of entrepreneurs [5], as well as their impact on the economy. The immediate next step is to explore the two roles of an entrepreneurial ecosystem, that is, generating entrepreneurship and moderating the relationship between entrepreneurship and the economic outcome.
Author Contributions: X.H. conceived the idea, analyzed the data and wrote the paper; Y.C. helped define the variables and collected the data. Both authors have read and agreed to the published version of the manuscript.