4.1. Multi-Scalar Regional Inequality in Guizhou Province
In order to reveal the dynamics of regional inequality at different scales, we decomposed overall inter-county inequality into inequality among four regions in Guizhou Province and inequality within four regions in the province. The four regions were respectively Central Guizhou, Northeast Guizhou, West Guizhou and South Guizhou. Scale variance analysis was applied to provide more details of regional inequality in Guizhou Province with the three nested scales, which focused on the relative importance of different spatial scales to regional disparity. The results of the scale variance analysis are described in the following sections.
Regional inequality at the county scale declined before 2004, while inequality at the municipal and regional scales rose slightly; and inequality at the three levels of spatial scale showed a similar downward tendency after 2004 (
Figure 2). The scale variance of the county scale was successively greater than that of the municipal and regional scales, but the county scale was close to the municipal scale. It is suggested that regional inequality increases with scaling down, which tallies with the comparison of the single scale. As
Figure 3 illustrates, contributions from the county and municipal scales accounted for the majority of regional inequality in Guizhou Province.
Scale variance analysis is aimed at studying the relationship between different scales. In this section, we found that regional inequality in Guizhou Province was sensitive to geographical scales and closely related to spatial organization, which tallies with eastern coastal areas, such as Guangdong and Zhejiang provinces. Scale effects on regional inequality had a certain influence, while the impact varied in different regions. The county and municipal scales had the greatest influence on regional inequality in Guizhou Province, while the county scale had the greatest effect on regional inequality in Guangdong and Zhejiang provinces [
9,
10,
11].
4.2. Distributional Dynamics of Regional Disparities
Based on the above analysis, inequality at the county scale was the most significant factor in regional inequality in Guizhou Province, and so, we analyzed the regional disparity with the county-scale data. To further understand the dynamics of regional inequality, we computed the global Moran’s
I to explore the spatial-temporal correlation and the geographical concentration of economic development in Guizhou Province. The results of global Moran’s
I were all significant at the 0.01 level. As
Figure 4 shows, the values of global Moran’s
I were positive, which indicates a positive spatial autocorrelation of per capita GDP in Guizhou Province. The values increased from 0.489 in 2000 to 0.573 in 2003 and decreased after 2003. This result implies that the spatial autocorrelation of regional inequality was enhanced before 2003 and showed a weakening trend after 2003.
During the first half of the study period, the Theil index of regional inequalities at the county scale rose, and the values of the global Moran’s I increased at the same time. This reflects the fact that enhancement of the spatial agglomeration of regional economic development in Guizhou Province led, to some extent, to a widening of regional inequality. An opposite result was found during the latter half of the study period. When considering spatial independence, even though the global Moran’s I of development inequality is not sensitive to the fluctuation over specific time periods, it still reflects a downward trend in development disparity at the county scale in Guizhou Province.
We also introduced the local Moran’s
I into the study to get a deeper understanding of the spatial relationship. As illustrated in
Figure 5, local spatial agglomeration at the county level of per capita GDP relates mainly to the high-high agglomeration type and is mostly distributed in Guiyang City. There was only a high-high agglomeration type in 2000, which was located mainly in the Huaxi, Xiaohe, Nanming, Yunyan, Wudang and Baiyun districts of Guiyang City and the Huichuan and Honghuagang districts of Zunyi City. In 2012, the high-high agglomeration type was distributed mainly throughout the whole of Guiyang City (Huaxi, Yunyan, Xiaohe, Nanming, Wudang and Baiyun districts, Xiuwen, Kaiyang and Xifeng counties and Qingzhen City), and the newly-added high-low agglomeration type was located in Liupanshui City. The center of Zunyi City was removed from the high-high agglomeration area, and its agglomeration effect was weakened.
The municipal district of Guiyang had been the most obvious area for regional economic agglomeration effects, which spread outwards from the center. Liupanshui showed negative spatial autocorrelation in 2012 and indicated a situation of local spatial differentiation. Zhongshan District belongs to the high-low agglomeration type, which meant that there was a polarization effect of per capita GDP in Zhongshan District. By comparing the LISA of the county-level per capita GDP in Guizhou Province between 2000 and 2012, the spatial agglomeration displayed an increasing trend and gradually showed a local spatial differentiation, which provided an explanation for the downward trend in the global Moran’s I.
The regional economic development of Guizhou Province presents the characteristics of spatial agglomeration and spatial connection, which first increased and then decreased during the study period in the global spatial autocorrelation analysis. From the local spatial autocorrelation, we can find that the high-high agglomeration type appeared in the regional economy of Guizhou Province, and its scope was distributed throughout Guiyang City and expanded over time. Polarization effects occurred in Liupanshui City, while the spatial convergence of regional economic development in Guizhou Province increased. The enhancement in spatial concentration tallied with the upward trend of global Moran’s I during the first half of the study period, and the downward tendency in the second half of the period was caused mainly by local spatial differentiation.
4.3. Changing Spatial Patterns of Development and Spatial Dependence of Dynamics
Markov chain analysis provides further details for the dynamics of regional inequality in Guizhou Province. Referring to the World Bank regional economic classifications and standards, we divided Guizhou Province into four classes according to per capita GDP: (1) Poor class: per capita GDP was lower than the 50% average of Guizhou Province; (2) Less developed class: per capita GDP was 50%–100% of the average for Guizhou Province; (3) Developed class: per capita GDP was 100%–150% of the average for Guizhou Province; (4) Rich class: per capita GDP was higher than 150% of the average for Guizhou Province. The poor and less developed classes were classified, respectively, as periphery and semi-periphery regions, which belonged to the underdeveloped areas. The developed and rich classes were classified, respectively, as semi-core and core regions, which belonged to the rich areas.
We calculated the transition probability matrices over the period between 2000 and 2012, as well as in the two sub-periods: 2000–2006 (the 10th Five-Year Plan period) and 2006–2012 (the 11th Five-Year Plan period). China implemented the WDP in 1999, planning to lay a solid foundation during the 10th Five-Year Plan period and make breakthroughs during the 11th Five-Year Plan period. The interval between the 10th Five-Year Plan and the 11th Five-Year Plan for the National Economy and Social Development of China is the year 2006. The selection of this interval is mainly to test the effectiveness of the implementation of the policy while exploring the spatial characteristics of the regional economic inequality.
The results of Markov chain analysis are shown in
Table 4. The diagonal elements in the table represent the probability that the area keeps its original state, and non-diagonal elements represent the probability that different area types transfer. From an overall perspective, the transition of regional economy in Guizhou Province shows the characteristics described in the following paragraph.
First, all of the diagonal elements are larger than the non-diagonal elements in three different periods of the Markov transition probability matrix, which means that the probability of keeping the original type for a county is larger than that of transferring into other classes during the study period. This implies that the regional economy in Guizhou Province has structural stability and that regional inequality shows the characteristics of path dependence.
Second, the frequency of the underdeveloped areas is much higher than that of the rich areas, and the elements far away from the diagonal are zero, which indicates that cross-class movement did not exist and there was no jumping development area in Guizhou Province. This result is different from that of Guangxi Zhuang Autonomous Region and, thus, reflects the fact that spatial transitions in different regions have different characteristics.
Third, the probability of moving upward from underdeveloped areas was 16%, and that of remaining in the same class was up to 84% during the entire study period. The probability of moving downward from rich areas was 11.1%, and that of remaining in the same class was up to 88.9%. This implies that “club convergence” in the rich group was more obvious than in the underdeveloped region.
Finally, the transitions of per capita GDP types in Guizhou Province showed different characteristics in the two periods. The frequencies of both poor and developed classes reduced, and those of both less-developed and rich classes increased in the period of 2006–2012. The probability of ascending into a richer class from the underdeveloped areas was up to 9.2%, while that of falling into a poorer class from the rich areas was 9.5% in the period of 2000–2006. In contrast, the probability of moving upward from the underdeveloped areas increased substantially to 28.6%, while that of moving downward from the rich areas increased slightly to 13.5% in the period of 2006–2012. This indicates that ‘‘club convergence” in Guizhou Province was more pronounced for the period of 2000–2006 when the underdeveloped counties underwent improved development.
From the viewpoint of space, rich regions were distributed mainly in the middle region of Guizhou Province and the municipal districts of other cities, except Bijie City. The underdeveloped areas were located mainly in the external ring surrounding the core zone, and the ring-like distribution of spatial structure reflected the large-area spatial concentration of poverty in Guizhou Province.
With respect to upward shift, regions in which it was possible to move upward to the richer type were concentrated mostly in the central urban area of the prefecture-level city, which were distributed mainly in the east and west regions of Guizhou Province in the period of 2000–2006. There were contiguous and annular underdeveloped areas moving upward between 2006 and 2012 (
Figure 6).
The downward shift in spatial distribution was scattered in the period of 2000–2006, and only the phenomenon of moving downward to the developed class appeared in Xingyi City and Kaili City; there was no situation of transferring down to the underdeveloped areas. The regions of poor class were substantially reduced, and those of the less-developed class were greatly increased in the period of 2006–2012. This is in accord with the Markov transition probability matrix described above. Most regions of Guizhou Province are integrated into the contiguous poor areas of national poverty alleviation and development. The upward shift of contiguous poor areas is closely related to national poverty alleviation policies. The social development report for Guizhou Province (2013) also points out that the province invested special financial funds of more than six billion Yuan, and the incidence of poverty declined from 23.9% down to 14.9% since the implementation of the 11th Five-Year plan for the national economy and social development.
Comparing the spatial distribution of county-level per capita GDP in Guizhou Province in 2000, 2006 and 2012, a degree of economic spatial agglomeration gradually formed in the province with Guiyang City at its core (
Figure 7). The regions of the rich type spread from Guiyang City to the surrounding areas with a scattered distribution. The core area in central Guizhou exhibited spatial concentration because of the growth effect.
The rich areas of Guizhou Province were, respectively, Tongren City, Bijiang District and Yuping Dong Autonomous County in the east and Liupanshui City, Zhongshan District, Pan County and Xingyi City in the west. The east rich areas of Guizhou Province are located in the Hunan-Guizhou economic corridor and along the Hunan-Guizhou extended railway line. As a result, Yuping Dong Autonomous County plays an important role in commodity distribution. The west rich areas of Guizhou Province have abundant energy and mineral resources, with obvious superiority over the east rich areas of Guizhou Province represented by the coal resources in Pan County. Xingyi and Pan counties are situated in the integration area of Yunnan, Guizhou and Guangxi provinces with advantages in location, which to some extent, have promoted the formation of a growth pole in the east and west rich areas of Guizhou Province.
4.4. Core-Periphery Structure of the Underlying Mechanism of Regional Inequality
The analyses above show the scale effects and core-periphery structure of regional development in Guizhou Province, and regional inequality is closely related to the time variables. The spatial multilevel regression model, incorporating industrialization, marketization, decentralization, investment level variables and two dummy variables, was applied to reveal the dynamic mechanism of regional inequality in the province. In this regression analysis, the dependent variable is per capita GDP in each county that belongs to the core-periphery continuum defined by the Markov chains at each year.
Table 5 shows a well-fitted one-level model, which can explain 65.3% of the total variance of county-level per capita GDP; and the
F value is significant, which indicates that all of the explanatory variables have significant effects on per capita GDP. The variance inflation factor (VIF) of each variable is less than five, and therefore, the model has no multicollinearity problem [
11,
12].
The F value is significant and illustrates that all of the explanatory variables have significant effects on per capita GDP; the variance inflation factor (VIF) of the explanatory variables is less than 5, and thus, the model has no multicollinearity problem.
The likelihood ratio test is used to compare two models when fitting the same set of data in different nested models. As the data in
Table 6 show, the significances of the deviation from the one-level model to the two-level model (
p < 0.001) and from the two-level model to the three-level model (
p < 0.001) decrease, which implies that regional inequality in Guizhou Province is associated with the core-periphery structure and the time variable.
Industrialization exhibited great importance in the three-level regression model, which suggests that industrialization is one of the main driving factors of regional disparity in Guizhou Province. Regional inequality decreased because east and west rich areas and several periphery areas experienced increased development. This indicates that industrial development strategies in Guizhou Province resulted in improvements in the industrialization level of underdeveloped areas. In addition, the implementation of WDP promoted the development of industrialization in Guizhou Province. Jinsha, Zhijin and Dafang counties sped up the construction of hydroelectric power plants, as well as the development of coal resources and developed related supporting industries as a result of the opportunities afforded by China’s West-East Electricity Transfer Project. The local economy achieved increased development, which reduced regional inequality in Guizhou Province to a certain extent.
Decentralization includes the process of delegating power, which has helped inspire the creative ability of the market to generate a new impetus for local economic development. Streamlining administration and delegating power can effectively improve the degree of marketization, allow the market to play a more important regulatory role in economic development and promote balanced regional development. Fiscal decentralization stimulates local governments to actively engage in local economic development. Local governments can then finance infrastructure development and public works to promote economic growth and attract investment as a result of changes in fiscal capacity. This process, however, often results in greater development of the already-rich areas to the detriment of the poor areas; polarized effects and Matthew effects coexist. Decentralization also reinforces local governments’ reliance on local revenue, which encourages local protectionism and weakens the ability of local governments to redistribute resources equitably [
11].
Decentralization in the first-level and second-level models was particularly important, but became less important after the addition of the time level. This result shows that decentralization partly made an impact on regional gaps, but was not as important as we thought over the entire study period. In other words, the government played a regulatory role in adjusting the balance of resource utilization and overcame the polarization effect and local protectionism. Local financial revenue can be compensated through transfer payments, because most of the poor areas are ethnic districts that have special preferential policies. WDP and national poverty alleviation policies focus on underdeveloped areas, which encourages local governments to engage in local economic development and, thus, affect the regional inequality in Guizhou Province. However, the importance of decentralization seemed to be overemphasized, and it was quite weaker compared to other variables. The power of local government is not strong enough.
Investment level plays an important role in regional inequality in Guizhou Province. Economic development in Guizhou Province has largely depended on investment level, which in the one-level and two-level models exhibited a significant negative correlation, indicating that it had an important effect on regional inequality and promoted a core-periphery structure in the province. Guizhou Province is in the middle of an investment-driven period, so that fixed asset investment is an important driving force for economic growth. The uneven distribution of fixed asset investment that is concentrated in Guiyang City and Zunyi City became an important reason for expanding the regional gap [
11]. Investment level in the first-level and second-level models did not show a notable effect on the regional development in Guizhou Province. With the addition of the time variable, investment level showed a more significant positive correlation to regional gap in the three-level model. Investment level actually influenced the regional gaps in Guizhou Province over the entire study period. As shown in
Table 6, the uneven distribution of investment patterns still exists, while also indicating that the benefit brought about by investment improved and boosted economic development in the underdeveloped areas during the study period. Therefore, we can get a deeper understanding of the mechanisms involved in regional disparity with the multilevel regression models from the above.
Consistent significance in the multilevel model demonstrates that marketization had a great impact on regional inequality in Guizhou Province. Marketization in the first-level and second-level models had a relatively important effect on the regional inequality in Guizhou Province. The three-level model demonstrated that marketization has indeed played a significant part in narrowing regional inequality, which implies that the development of the non-public ownership economy there has achieved some useful results. A good example is the supportive policy of encouraging the development of the self-employed economy in Guizhou Province, combined with WDP, and the proportion of the added value of the non-publicly-owned economy has increased as a result.
The variables of topography and the urban-rural divide are not dynamic independent variables. The results of these two variables can explain their influence on regional inequality and interpret the pattern of regional economic development, but they are unable to explain the evolution of regional disparity in Guizhou Province. From the results, we can find that topography and the urban-rural divide both exerted influences on regional development, but were weaker than other variables, such as industrialization, which are also significant factors for the formation of the core-periphery structure. Counties in which mountain areas are less than 50% are distributed mainly in the hinterland of central Guizhou and its adjacent regions, which provides good natural conditions for economic development and promotes the formation of regional disparity patterns in the province as a whole. The urban-rural dual structure makes a difference to the regional disparity patterns in Guizhou Province [
35]. Most of the urban areas are located in the regions containing municipal governments and their adjacent regions. Moreover, the majority of the urban areas are distributed in Guiyang City, and the rural areas are located mainly in the periphery regions.