Can Higher Education, Economic Growth and Innovation Ability Improve Each Other?

: This study argues that the coupling between higher education, economic growth, and innovation ability is of great signiﬁcance for regional sustainable development. Through the experience of Jiangsu Province in China, this study establishes a coupling coordination evaluation index system and applies the coupling coordination model to evaluate interactive relationships among the three. It ﬁnds that during 2007–2017, the level of coupling of 13 prefecture-level cities in Jiangsu was increasing over time, which fully veriﬁed the previous scholars’ view that the three can improve each other over a long period. However, this study ﬁnds that there are obvious di ﬀ erences within Jiangsu. Inadequate investment in higher education has become a crucial constraint on sustainable economic growth in northern and central Jiangsu, which are backward regions of Jiangsu. By contrast, in southern Jiangsu, which is the advanced region of Jiangsu, although the resources of higher education are abundant the growth of innovation ability cannot support sustained economic growth well. Thus, the quality of higher education should be improved to meet the needs of the innovation-based economy. Accordingly, cross-regional cooperation and balanced investment in higher education are the keys to practicing a balanced and sustained regional development. The results of this study’s coupling coordination analysis and evaluation can serve as a reference for governments in enhancing regional sustainable development.


Introduction
Since the emergence of the knowledge economy in the 1990s, knowledge has become a crucial resource for regional development. Innovation through accumulating knowledge has been a critical factor in sustainable regional development. Since 2000, human development is facing more serious problems, including resource problems, environmental problems, and ecological problems, which have led to global thinking about sustainable economic growth models. Whether education development can meet the ever-changing needs has become an important topic of common concern in many fields. The 2015 United Nations Sustainable Development Summit passed the 2030 Agenda for Sustainable Development [1]. The aim of Goal 4 is to ensure inclusive and equitable quality education and promote lifelong learning opportunities for all. This indicates the urgency of incorporating sustainable development education at all levels [2]. sustainable development in Jiangsu. This study also has significant implications for all developed provinces in Eastern China. The data in this paper are collected from official statistical reports and statistics yearbooks.
The remainder of this paper is organized into four sections. Section 2 presents the theoretical background; Section 3 details the study materials and methods; Section 4 discusses the coupling coordination between economic growth, higher education, and innovation ability in Jiangsu's 13 prefecture-level municipalities; and Section 5 provides conclusions, suggestions for future research, and regional development countermeasures from the coupling coordination analysis. The results of the coupling coordination analysis and evaluation of this study can provide a reference for governments to enhance regional economies.

Theoretical Backgrounds
Nowadays, the world is facing more serious environmental, resource, and ecological problems, and human beings have a deeper understanding of economic development. The sustainability of a regional economy refers to the ability of this region to grow continuously by fostering a proper limit of population and economic activities without exhausting resources or degrading the environment [11]. Therefore, the indicators of sustained regional economic growth include economic scale, industrial upgrading, and welfare improvement. For a long time, scholars from various countries have been paying attention to the motive force of sustained regional economic growth. In a knowledge economy, innovation is vital for regional socioeconomic development [12][13][14][15][16][17][18][19][20][21][22][23][24]. According to the innovation theory proposed by Harvard University professor Joseph Alois Schumpeter [25], innovation ability and regional economic development promote and restrain each other.
In the era of the knowledge-based economy, most countries have continuously increased investment in research and development funds to maintain rapid economic growth. In early research, scholars found that areas with sustained economic growth in the United States often have continuous investment in research and development activities [26]. In China, State-level High-tech Industry Development Zones (SHIDZ) are a critical driver of economic growth. Every year, the Chinese government invests a large amount of R&D funds in SHIDZ. From actual observations, continuous government investment in R&D funds can enhance the innovation ability of enterprises in science parks and have a positive impact on regional industrial upgrading [27,28]. Coad et al., have constructed a large number of models to demonstrate the important role of innovation investment in regional sustainable economic growth, corporate competitiveness, and industrial upgrading [29]. Although there is a positive relationship between innovation and sustained economic growth, actual observations show that there is no direct relationship between innovation input and sustained economic growth, and innovation output is more directly related to economic growth. For example, with the same innovation investment, the results of economic growth may be different in different regions. The actual impact of innovation input also depends on the absorptive capacity of different regions for innovation [30]. According to Xiong (2020), the relationships between innovation and economic grown are complex, and social filters play important role in innovation and economic growth in different regions [31]. Some researchers have conducted empirical research based on regional innovation theory. For example, one researcher examined the coupling coordination of innovation ability and economic growth in the Yangtze River Economic Belt and its upstream provinces. The results revealed a strong connection between the region's innovation ability and economic growth. In most provinces within the Yangtze River Economic Belt, the two indicators were more than marginally coordinated, whereas those in the four upstream provinces exhibited imbalanced development, with two provinces being highly coordinated and the remaining two being slightly coordinated [32,33]. Therefore, this paper contributes to analyze the relationship between innovation and economic growth from the spatial and temporal perspective in order to gain policy implications for different regions. We selected economic scale, economic structure, and quality of the economy as indicators of an economic growth system, and chose innovation input and output as indicators of innovation ability. In terms of the relationship between higher education and innovation ability, researchers generally consider the two indicators to be related. Higher education provides the two core elements required for reformation: talent and innovation [22,23]. Human capital formation is a fundamental element of economic growth and innovation [13]. Higher education has undertaken the tasks of personnel training and scientific research. Therefore, universities and research centers are a source of innovation information and important providers of innovative talents. In addition, the development of innovative economy has put forward new requirements for talent training. Rusyf Balci (2019), after analyzing the innovation-based development in Turkey, has proposed that the talent training of universities must meet the development requirements of innovation [34]. These institutions must change from rote teaching methods to analytical learning. It is generally believed that there is a positive relationship between the development of higher education and innovation capacity, so almost all countries attach great importance to the development of higher education. But can higher education definitely improve the efficiency of corporate innovation? Kim (2019) studied the innovation efficiency of the Korean logistics industry, and reached a very interesting conclusion: universities and research institutions are not the most critical factor in improving the innovation efficiency of enterprises [35]. However, if it is completely separated from the innovation information of universities and research institutions, the innovation efficiency of enterprises will also decline. It can be seen that the concept of taking the enterprise as the subject of innovation cannot be ignored.
How should higher education be developed to meet the needs of innovative economic growth? According to Urbano (2014), higher education plays a great value role in creating synergies between actors of the innovation ecosystem that strengthen social and economic growth [14]. To achieve economic growth, interactions between participants in the innovation ecosystem are necessary. Factors affecting the establishment of new enterprises include received messages, human resource training by universities and research institutions, funds, markets, clients, and business opportunities relative to clients and suppliers [16]. Through such interactions, an education plan concerning entrepreneurship and the cultivation of creative and innovative professionals supported by research institutes such as universities provide the opportunity to generate knowledge and an economic network [17]. In addition, knowledge transfer between academia and industry is a major driver of innovation and economic growth because it encourages the commercialization of new scientific knowledge within an enterprise [10,[12][13][14][15][16][17][18]27,28,36]. Bloedon and Stokes defined the concept of knowledge transfer as a procedure through which the production or knowledge of a useful item within an organizational environment becomes applicable in another organizational environment [19]. Knowledge generation and transfer abilities in academia are crucial factors; in particular, higher education and public research institutes are considered sources of proven science and knowledge [20]. Kruss (2015) also particularly emphasized that universities and research institutions should improve their ability to interact with other participants as a talent supply and engage in research and development activities [37]. It requires a clearer strategy, structures, and mechanism for communicating with firms, sectoral intermediaries, government, and other knowledge producers.
Since the 2000s, most countries accepted the discourse of the global knowledge economy, giving more emphasis to issues of industry-led economy, technological progress, and innovation. In this situation, many countries have increased the enrollment scale of universities, and so is China. But research exploring the relationship between higher education and sustainable economic growth is still very scarce [38]. Regarding higher education and economic development, researchers have proposed theories including the new economic growth theory, endogenous growth theory, human capital theory, and triple helix theory [10]. How much does the development of higher education contribute to sustained economic growth? In response to this problem, Ca (2006) has proposed the opposite view, that the interaction between higher education and economic growth is very limited [39]. To conduct empirical research on the relationship between provincial or national higher education and economic growth, the following methods have been employed in research: a vector autoregression model, the Johansen cointegration test, the Granger causality test, impulse response Sustainability 2020, 12, 2515 5 of 18 functions, variance decomposition, and a coupling coordination model. The following are crucial findings: in the short term, higher education investment is not an essential factor of economic growth. However, in the long term, higher education investment in China's eastern, central, and western regions has a bilateral and causal relationship with economic growth; it has a strong relationship in the eastern regions and a weak one in the central and western regions [21]. Furthermore, investment in higher education and human resources positively influences economic growth, which is a motivator of higher education reforms. Socioeconomic transformation is the premise of higher education transformation, which is in turn a driver and guarantor of socioeconomic transformation.
On the whole, research on higher education, innovation ability, and economic relations has increased considerably; however, in terms of research results, most studies have focused on the relationship between two of the three indicators instead of all three indicators. Few researchers have explored the coupling coordination of higher education, innovation ability, and economic growth. Zhao Ran analyzed these indicators along with spatial evolution [40]. Zhou Yuanyuan applied measurement methods including panel data cointegration analysis and a causality test, and discovered that economic growth in the Pan Yangtze River Delta Region mainly relies on investment. In addition, regional technological innovation, higher education quality, and higher education development are influential factors for boosting economic growth [41]. The two aforementioned studies are useful references for the present study.

Study Area
Jiangsu is located in the eastern coastal area of China with 13 prefecture-level cities ( Figure 1). Generally, Jiangsu is divided into three districts: Southern Jiangsu (encompassing Nanjing, Zhenjiang, Suzhou, Wuxi, and Changzhou), Central Jiangsu (encompassing Yangzhou, Taizhou, and Nantong), and Northern Jiangsu (encompassing Xuzhou, Huai'an, Lianyungang, Yancheng, and Suqian). Jiangsu has a robust economy. In 2019, Jiangsu achieved a gross regional product of 9963.15 billion Chinese Yuan (CNY) and was the second most economically advanced province in China, second only to Guangdong. However, the three Jiangsu districts have differences in economic development, with Southern Jiangsu being the most economically advanced and the other two districts being relatively disadvantaged in terms of economic development. Coordinated regional development is crucial to sustainable development in Jiangsu. Moreover, Jiangsu has an advanced education system featuring the most general universities of all provinces. Therefore, Jiangsu has an advantage in terms of innovation-based economy. growth, which is a motivator of higher education reforms. Socioeconomic transformation is the premise of higher education transformation, which is in turn a driver and guarantor of socioeconomic transformation.
On the whole, research on higher education, innovation ability, and economic relations has increased considerably; however, in terms of research results, most studies have focused on the relationship between two of the three indicators instead of all three indicators. Few researchers have explored the coupling coordination of higher education, innovation ability, and economic growth. Zhao Ran analyzed these indicators along with spatial evolution [40]. Zhou Yuanyuan applied measurement methods including panel data cointegration analysis and a causality test, and discovered that economic growth in the Pan Yangtze River Delta Region mainly relies on investment. In addition, regional technological innovation, higher education quality, and higher education development are influential factors for boosting economic growth [41]. The two aforementioned studies are useful references for the present study.

Study Area
Jiangsu is located in the eastern coastal area of China with 13 prefecture-level cities ( Figure 1). Generally, Jiangsu is divided into three districts: Southern Jiangsu (encompassing Nanjing, Zhenjiang, Suzhou, Wuxi, and Changzhou), Central Jiangsu (encompassing Yangzhou, Taizhou, and Nantong), and Northern Jiangsu (encompassing Xuzhou, Huai'an, Lianyungang, Yancheng, and Suqian). Jiangsu has a robust economy. In 2019, Jiangsu achieved a gross regional product of 9963.15 billion Chinese Yuan (CNY) and was the second most economically advanced province in China, second only to Guangdong. However, the three Jiangsu districts have differences in economic development, with Southern Jiangsu being the most economically advanced and the other two districts being relatively disadvantaged in terms of economic development. Coordinated regional development is crucial to sustainable development in Jiangsu. Moreover, Jiangsu has an advanced education system featuring the most general universities of all provinces. Therefore, Jiangsu has an advantage in terms of innovation-based economy.

Establishment of the index system and data source
Higher education, innovation ability, and economic growth are influenced by various complex factors; therefore, to comprehensively reveal the interaction between them, in the present study, research was conducted in accordance with the features of the three subsystems. Indices were

Establishment of the Index System and Data Source
Higher education, innovation ability, and economic growth are influenced by various complex factors; therefore, to comprehensively reveal the interaction between them, in the present study, research was conducted in accordance with the features of the three subsystems. Indices were selected to establish for economic growth, higher education, and innovation ability (Table 1) by following the principles of scientific endeavor, representativeness, comparability, and availability. Table 1. Coupling coordination evaluation index system concerning economic growth, higher education, and innovation ability.

Coupling System First-Level Index Second-Level Index Unit Weight
Economic growth subsystem S1 Economic scale Gross regional product The index system was divided into three subsystems: economic growth, higher education, and innovation ability. Three first-level indices-economic scale, economic structure, and economic quality-were established in the economic growth subsystem, with six second-level indices defined under them. In the higher education subsystem, two first-level indices-education scale and education quality-were established, and six second-level indices were defined under them. In the innovation ability subsystem, two first-level indices-innovation input and output-were established, with six second-level indices under them.
The data employed in the quantitative analysis were the 18 indices of the 13 prefecture-level cities in Jiangsu, China from 2007 to 2017. Most data were collected from the statistical yearbook of each prefecture-level city and the Jiangsu Statistical Yearbook. Most data in the higher education subsystems were gathered from the China City Statistical Yearbook, and most data on research and development (R&D) expenditure as a percentage of gross domestic product were obtained from the statistical communiqué of each prefecture-level city. An interpolation method based on data from consecutive years was adopted to replace the missing data.

Index Weight Verification
In the present study, entropy was applied to verify the index weights according to the following procedure. The origin index value of the 18 indices in the coupling coordination system was assumed to be X.
(1) Index standardization Data standardization was required before weight verification because of the different units in each index. Let α = max (X) and β = min (X). To simplify the calculation and operation, data were converted into forward pointers. X* is the standardized index value, and its equation is as follows: (1) (2) The weights (P) of each index were calculated for different prefecture-level cities and years, with α as the total number of prefecture-level cities and β as the number of prefecture-level cities in different years: (3) The entropy (e) of each index was calculated using the following equation: (4) The weight w j of each index was calculated with j as the number of indices and 1 − e as the variation coefficients:

Coefficient Model of the Subsystems
Higher education, innovation ability, and economic growth are three different yet mutually interactive subsystems; hence, the contribution of the order parameters in each subsystem could be calculated through the weighted summary method using the following equation: where S λ indicates the degree of contributions from each subsystem to the main system; λ = 1, 2, 3, j are the numbers of indices concerning each subsystem; w j suggests the weight value of each order parameter; X* is the standardized value of each index; and S1, S2, and S3 represent economic growth, higher education, and innovation ability subsystems, respectively.

Coupling Function
The three subsystems were coupled by applying the capacitive coupling coefficient model used in physics to present a dynamic relationship of interdependence and coordinative development from the positive interaction among the subsystems and establish coupling function C xy : where x, y = 1, 2, and 3; x y. C xy indicates the level of coupling for systems x and y; the level was between 0 and 1. A high C value suggested a high level of coupling between the two subsystems. The levels of coupling were categorized based on C values, and the standards defined by the present study are presented in Table 2.

Coupling Coordination Model
The coupling function can only determine the level of connection among subsystems but cannot decide their level of coordination; accordingly, the coupling coordination function was employed to examine the level of coordination among subsystems and analyze the level of coordinated development and stages of development for each region. The equations are as follows: where D xy indicates the level of coupling coordination of systems x and y; T xy reflects the comprehensive evaluation indices of the overall synergy effects concerning systems x and y; and a high D value suggests improved coordination among the subsystems. Furthermore, α and β are coefficients to be determined; thus, α + β = 1, and let α = β = 0.5 because the coordinated development of economic growth, innovation ability, and higher education has equal importance. Evaluations were conducted from the classification standard of the coupling coordination value proposed by Zhao Ran [10], as displayed in Table 3. Table 3. Levels of coupling coordination for economic growth, higher education, and innovation ability.

Coupling Level Analysis
The level of coupling obtained from Equation (6) was applied to calculate the coupling levels of the following subsystem pairs: economic growth-higher education (C 12 ), higher education-innovation ability (C 23 ), and economic growth-innovation ability (C 13 ). The results are presented in Table 4. In general, these aforementioned systems were all highly coupled (C > 0.8), which implied that economic growth, higher education, and innovation ability were closely related. Economic growth supports the materials required in higher education development, and higher education cultivates innovative professionals to boost economic growth; furthermore, an enhanced regional innovation ability promotes economic development, and economic development provides regional innovation through funding. Each set of two factors (of the three) could mutually promote and develop mutual prosperity.

Economic Growth-Higher Education Coupling Coordination Analysis
D (level of coupling coordination) was calculated from Equations (6)- (8), and the results are presented in Table 5. Figure 2 displays temporal changes related to the coupling coordination level of higher education and economic growth. From 2007 to 2017, D exhibited a rising trend. The level of coupling coordination in all 18 prefecture-level cities increased and covered all four stages, from slightly coordinated to extremely coordinated. In 2007, only Nanjing and Suzhou were highly coordinated, whereas the remaining regions were all slightly and moderately coordinated. In 2014, the D for all prefecture-level cities exceeded 0.4 and reached a moderately coordinated level or above. The variation trend of the economic growth-higher education system was stable. For the 13 cities of Jiangsu, Nanjing was in the lead in 2014 in terms of coupling coordination; it reached an extremely coordinated level. In 2017, D for Suqian and Lainyungang remained below 0.5, which indicated no improvement in coupling coordination. Note: Sc, extremely coordinated synchronized development in higher education and economic growth; Sb, extremely coordinated and economic growth lagging; Aa, highly coordinated higher and education development lagging; Ab, highly coordinated and economic growth lagging; Ac, highly coordinated and synchronized development in higher education and economic growth; Ba, moderately coordinated and higher education development lagging; Bb, moderately coordinated and economic growth lagging; Bc, moderately coordinated and synchronized development in higher education and economic growth; Ca, slightly coordinated and higher education development lagging; Cc, slightly coordinated and synchronized development in higher education and economic growth. The coupling coordination of economic growth-higher education increased; however, it was unclear which of the two subsystems (economic growth or higher education) dominated. Therefore, the coupling coordination of economic growth-higher education was evaluated from Table 3 (Table  5). In 2007, all regions except for Nanjing and Wuxi had synchronized development in higher education and economic growth. The contribution of higher education to the local economy in Nanjing had yet to improve, whereas higher education in Wuxi did not keep pace with economic growth. A decade later, in 2017, Nanjing had synchronized and stable growth in economic growthhigher education development, and the level of coupling coordination in the other cities notably increased too. However, problems were exposed during development; for example, economic development in Lianyungang was slightly faster than that of higher education; however, the remaining cities had backward higher education, which indicated that improving higher education is key for promoting balanced regional development.  The coupling coordination of economic growth-higher education increased; however, it was unclear which of the two subsystems (economic growth or higher education) dominated. Therefore, the coupling coordination of economic growth-higher education was evaluated from Table 3 (Table 5). In 2007, all regions except for Nanjing and Wuxi had synchronized development in higher education and economic growth. The contribution of higher education to the local economy in Nanjing had yet to improve, whereas higher education in Wuxi did not keep pace with economic growth. A decade later, in 2017, Nanjing had synchronized and stable growth in economic growth-higher education development, and the level of coupling coordination in the other cities notably increased too. However, problems were exposed during development; for example, economic development in Lianyungang was slightly faster than that of higher education; however, the remaining cities had backward higher education, which indicated that improving higher education is key for promoting balanced regional development.

Economic Growth-Innovation Ability Coupling Coordination Analysis
Through the aforementioned method, a line chart (Figure 3) was created based on the coupling coordination values listed in Table 6, and trend variations in economic growth-innovation ability coupling coordination in Jiangsu from 2007 to 2017 were analyzed. Generally, the coupling coordination values rose continuously, and the coupling coordination in all prefecture-level cities in Jiangsu increased. By 2012, the coupling coordination value of all prefecture-level cities exceeded 0.4, indicating moderate coordination and above. Nanjing ranked first in all years. In 2015, Nanjing and Suzhou reached the level of extreme coordination, followed by Wuxi in 2017.
An in-depth analysis revealed that the development of the innovation ability-economic growth system covered four stages: slightly coordinated to extremely coordinated. In 2007, Nanjing and Suzhou had a highly coordinated innovation ability (underdeveloped), and Wuxi had highly coordinated and synchronized development in terms of innovation ability and economic growth. Xuzhou, Changzhou, Taizhou, Nantong, Zhenjiang, and Yangzhou had moderately coordinated synchronized development in innovation ability and economic growth, and Huaian, Yancheng, Lianyungang, and Suqian had slightly coordinated and synchronized development in innovation ability and economic growth. In 2012, coupling coordination in regions excluding Nanjing, Wuxi, and Suzhou increased; however, underdeveloped innovation ability was noted in many regions, including Nanjing, Changzhou, and Suzhou. By 2017, coupling coordination in all regions improved from the situation in 2007. Suqian had moderately coordinated and synchronized development in higher education and economic growth, whereas the innovation ability of other cities lagged behind the economic development. This indicated that innovation ability is a factor for economic growth, whereas economic growth is not the most crucial factor for innovation ability. Therefore, enhancing innovation ability is a major step for promoting regionally balanced development.
coordinated and synchronized development in higher education and economic growth; Ca, slightly coordinated and higher education development lagging; Cc, slightly coordinated and synchronized development in higher education and economic growth.

Economic Growth-Innovation Ability Coupling Coordination Analysis
Through the aforementioned method, a line chart (Figure 3) was created based on the coupling coordination values listed in Table 6, and trend variations in economic growth-innovation ability coupling coordination in Jiangsu from 2007 to 2017 were analyzed. Generally, the coupling coordination values rose continuously, and the coupling coordination in all prefecture-level cities in Jiangsu increased. By 2012, the coupling coordination value of all prefecture-level cities exceeded 0.4, indicating moderate coordination and above. Nanjing ranked first in all years. In 2015, Nanjing and Suzhou reached the level of extreme coordination, followed by Wuxi in 2017.  Note: Sd, extremely coordinated and innovation ability lagging; Ad, highly coordinated and innovation ability lagging; Af, highly coordinated synchronized development in innovation ability and economic growth; Bd, moderately coordinated and innovation ability lagging; Bf, moderately coordinated and synchronized development in innovation ability and economic growth; Cf, slightly coordinated and synchronized development of innovation ability and economic growth.

Higher Education-Innovation Ability Coupling Coordination Analysis
Coupling coordination of higher education-innovation ability increased year-to-year. In 2007, the coupling coordination of the two indicators fluctuated around a certain value; however, Nanjing already had highly coordinated development, with the development of innovation ability being slightly behind that of higher education. Lianyungang, Huaian, Suqian, Yancheng, and Taizhou were slightly coordinated, and the remaining regions were moderately coordinated; in addition, all regions had synchronized development concerning the two indicators. In 2017, coupling coordination in Nanjing was above 0.8; the area underwent extremely coordinated development. Wuxi, Suzhou, Xuzhou, Nantong, and Yangzhou were highly coordinated, and the remaining regions were all moderately coordinated. The accumulation of human resources and technology became the main factors of economic growth, and higher education-through which scientific knowledge is created, integrated, spread, and applied-was highly associated with the two factors. The development of higher education significantly influences the innovation ability of a region and the speed and pattern of regional economic development. Thus, the problem Jiangsu currently faces is imbalanced development in higher education and regional technological innovation ability. Therefore, the present study examined the spatial evolution of higher education-innovation ability coupling coordination in Jiangsu (Table 7). Note: Sg, extremely coordinated and innovation ability lagging; Ag, highly coordinated and innovation ability lagging; Ah, highly coordinated and higher education development lagging; Ai, highly coordinated and synchronized development in higher education and innovation ability; Bh, moderately coordinated and higher education lagging; Bi, moderately coordinated and synchronized development in higher education and innovation ability; Ci, slightly coordinated synchronized development in higher education and innovation ability.
To examine the spatial evolution of higher education-innovation ability coupling coordination, ArcGIS data visualization was applied to statistically analyze coupling coordination, as displayed in Figure 4. On the basis of the spatial distribution, coupling coordination in Southern Jiangsu was generally higher than that in the northern regions; in addition, the results in Southern, Central, and Northern Jiangsu were distributed in a gradient trend. This indicated that Nanjing had the highest level of coupling coordination and reached the level of extreme coordination in 2012. Nanjing, the administrative center of Jiangsu, possesses a rich culture and long history; furthermore, with several Project 985 and 211 colleges and universities in the region, including Nanjing University, Nanjing Normal University, and Hohai University, outstanding talent is cultivated, and this enhances innovation ability. However, other regions such as Huaian, Lianyungang, and Suqian were not highly coordinated in higher education and innovation ability, because these regions have limited educational resources. Hence, improving the quality of higher education and increasing investment in regional innovation and talent are key to achieving balanced development and industrial transformation. Normal University, and Hohai University, outstanding talent is cultivated, and this enhances innovation ability. However, other regions such as Huaian, Lianyungang, and Suqian were not highly coordinated in higher education and innovation ability, because these regions have limited educational resources. Hence, improving the quality of higher education and increasing investment in regional innovation and talent are key to achieving balanced development and industrial transformation.

Conclusions and Implications
The coupling coordination evaluation index system established in the present study was divided into three subsystems: economic growth, higher education, and innovation ability. In addition, six first-level and 18 second-level indices were defined. Entropy was applied to verify the index weights, and a coupling function and coupling coordination model were employed to analyze the coupling coordination of the three subsystems in Jiangsu, China to confirm the effectiveness of the evaluation system. From the results, the following conclusions were reached: 1.
From 2007 to 2017, the coupling coordination of the 13 prefecture-level cities in Jiangsu increased. This indicated an excellent interaction overall between higher education, economic development, and innovation capacity in Jiangsu, which positively influenced sustainable development in the province.

2.
In 2017, economic growth and higher education in Nanjing in 2017 underwent synchronized development and steady increases. The remaining regions also exhibited noticeable increases; however, problems arose during development. The economic growth of Lianyungang fell behind higher education development, and the other regions required improvements in the development of higher education. In summary, higher education resources in Jiangsu are excessively concentrated in the capital, which results in uneven spatial distribution. In particular, higher education resources are insufficient in economically disadvantaged Northern Jiangsu. This impedes innovation-based economic development in the district.

3.
In the economic growth-innovation ability system, the coupling coordination of all regions improved in 2017 compared with the situation in 2007. Only Suqian had moderately coordinated synchronized development in higher education and economic development. The remaining regions exhibited imbalanced development in innovation ability and economic growth, with the development of innovation ability falling behind. This revealed that innovation ability influences economic growth; however, economic growth is not the most crucial factor for regional innovation ability. Enhancing innovation ability substantially promotes regional balanced development.

4.
In the higher education-innovation ability system, coupling coordination in regions apart from Nanjing required improvement because of their limited higher education resources. Therefore, enhancing the quality of higher education and increasing investment in regional innovation and talent are critical to achieving balanced regional development and industrial transformation.
In summary, Jiangsu is a province with advanced economic and educational development and has notable advantages in terms of innovation-based economy. Overall, the interactions between economic development, higher education, and innovation capacity became increasingly satisfactory, reinforcing the province's success in sustainable development. However, differences in development were noted between the three Jiangsu districts. Highly coordinated development between economic growth, higher education, and innovation ability was noted in Southern Jiangsu, particularly in Nanjing and Suzhou. By contrast, coordinated development among these systems in Central and Northern Jiangsu was unsatisfactory. Innovation ability and higher education development in these two districts lagged behind economic development, and their higher education development lagged behind their innovation ability.
For future development, stakeholders in Jiangsu should focus on solving the uneven spatial distribution of higher education resources. Capital investment is required to establish additional high-quality universities in Central and Northern Jiangsu to satisfy human resource requirements for innovation. Connotative construction within these universities should be reinforced for human resource development in universities to fulfill the requirements for developing emerging industries in Central and Northern Jiangsu. In addition, support for human resource development in these two districts should be reinforced through policies. Economic disadvantages in Northern Jiangsu critically inhibit its attraction of high-quality personnel. A stable policy that gives preference to human resources should hasten the introduction of high-quality human resources in the district.
The Chinese government should encourage universities to cooperate with enterprises to enhance the positive effect of innovation on economic development. The innovation ability of enterprises should be fully utilized, and R&D investment from enterprises should be reinforced to strengthen their technological innovation and resource integration. Moreover, the government should encourage enterprises to cooperate with universities and research institutes to establish high-level technology centers, engineering technology research centers, and valuable patent development and demonstration centers.
Despite the importance of this study, this study also has disadvantages in that it considers only the interactive relationships among higher education, economic growth, and innovation ability from the perspective of space and time evolution. In future study, we will make an in-depth analysis on the mechanisms of the interaction among the three. In the following study, we will present a richer discussion by data from various firms, universities, and various cases from different regions.