Regional economic analysis of major areas in South Korea: using 2005–2010–2015 multi-regional input–output tables

South Korea’s Seoul metropolitan area accounts for more than half of the country’s GDP and population. This phenomenon is exacerbating annually. Regions outside the metropolitan area of Korea are not only decreasing in terms of economic size, but are also becoming more dependent on the metropolitan area in terms of economic structure. Earlier, the metropolitan area was based on the service industry, while other regions had a large manufacturing sector; however, the size of the latter also increased in the metropolitan area over time. To analyze dependence on the Seoul Metropolitan area, this study conducts regional production inducement effects, regional division of labor, and three regional structural decomposition analyses using Korea’s 2005–2010–2015 multi-regional input–output table (MRIO) to further analyze dependence on the metropolitan area. Furthermore, this research integrates industry classification and realizes the price level of input–output tables to link 3 years of MRIO in three industries: wholesale and retail trade and product brokerage services, motor vehicles, semiconductors, and other electronic components. From the inter-regional production inducement effect, the relation between the metropolitan area and each region is calculated using the regional export and import effects of each region. Furthermore, the proportion of metropolitan areas in major industries and their changes are measured through regional division of labor, and through multi regional structural decomposition analysis, the growth factors of each region over 10 years are determined by own region, metropolitan area, and other regions.

population lived in metropolitan areas, and more than half of the gross regional domestic product (GRDP) was also concentrated in these areas.According to Lee (2020), due to the deepening concentration of the metropolitan area, the population of regions except the Seoul Metropolitan area began to decline.The population of Jeollanam-do began to decrease in 2013, and from 2018, the population has naturally decreased in most regions except Seoul Metropolitan.In particular, the outflow of the young population to the metropolitan area is intensifying, and as of 2019, lots of young populations are moving to the metropolitan area except for the Sejong City, newly created in 2012.
In recent times, the Korean government has been making efforts to balance national development in diverse ways, such as relocating central government agencies to other regions, or fostering specialized industries in various regions for balanced national development.However, the proportion of the population and economy in metropolitan areas is increasing, and some regions have experienced a decrease in population and the GRDP for several years.With growing interest in these issues, the need for regional economic analysis in Korea has increased.
Korea has 17 major administrative districts.Considering the geographical location, economic scale, and density of these districts, the following five areas constitute their own respective economic zones: the Seoul metropolitan area, Chungcheong, Jeolla, Gyeongbuk, and Gyeongnam.Each area forms an economic zone based on its central city; nevertheless, it is difficult to claim that Gangwon-do and Jeju-do have formed a single economic zone, considering their economic sizes.Since each economic zone or region has established economic relations with the surrounding region or metropolitan area according to the role of a specialized industry or city, it is necessary to consider not only the economy of each region, but also the industry as a whole to examine the regional economy of Korea.
Since multi-regional input-output (MRIO) data record the entire economy of Korea in various ways, the Korean economy can be analyzed separately by region and industry using MRIO analysis.In addition, because input-output (IO) analysis using MRIO data can calculate and analyze the induced effects according to the characteristics of the industry, specialty industries can be studied across different locations in a number of ways.Hence, this study intends to analyze how the economic structure of each economic region of Korea and the concentration in metropolitan areas has changed, using the MRIO table.In addition, this study analyzes the factors that have had a significant influence on economic change in each region.

Literature review
Regional economic analysis, using Korea's IO table, mainly focuses on analyzing the effects of industry in the region by limiting the scope of analysis to specific industries or regions.For this reason, few studies have used MRIO to explore the whole of South Korea.Using Korea's 2003MRIO table, Lee (2008) divided the country into metropolitan and non-metropolitan areas, and then assessed the consequences of the industrial relationships between them.He was concerned about the metropolitan area's economic concentration, because the backwash effect of the local economy's attraction to the metropolitan area was stronger than the spillover effect of the latter's development on the former.

Methods
This study uses Korea's MRIO table for a regionwise analysis.Furthermore, three MRIO tables for 2005, 2010, and 2015 were used to examine the changes in the Korean regional economy over a period of 10 years.Because of changes in industry classification changes for each base year, and use of nominal prices, adjustments are necessary when using multiple IO tables.Therefore, this study is meaningful in connecting the industrial classifications of the three IO tables and realizing prices.
This study employed three methods to study the concentration phenomenon in Korea's metropolitan areas and the local economy.First, it identified the main industries in each region of Korea and elucidated the interregional relationships, including those with the metropolitan area.The metropolitan area is where population and economic power are concentrated and is expected to have a consumption-and service-oriented economy.In addition, other regions can be expected to develop mainly the manufacturing economy in response to the demand of the metropolitan area, leading to economic relations between them.In addition, there is a central city playing the role of a metropolitan area in Korea, not only in the larger metropolitan area, but also in each economic region.When these central cities show a high proportion of consumption-oriented and service industries, similar to the metropolitan area, it can be concluded that the economic zone is well-formed.
Second, this study determines the dependence on metropolitan areas and other regions by calculating the regional division of labor, based on the total input.Owing to the excessive concentration in Seoul, both, the service and manufacturing industries are expanding in Gyeonggi to enable an efficient supply for the city.Therefore, if it is possible to quantify not only industrial relations between regions, but also how much each region contributes to the demand for a specific industry in another one, it would be possible to understand the industrial relations between the specialized industry of one region with other regions.By identifying these factors, we evaluated Korea's concentration in the metropolitan area, whether the regional economy is well-developed, and which region's economic zone is well-formed.Furthermore, by evaluating the local economy in 2005, 2010, and 2015, we evaluated whether the concentration phenomenon in Seoul improved in 2015 compared to 2005, and analyzed how the local economic zone has changed over time.
Finally, this study attempts to analyze the changes in major industries in each area over 10 years by dividing them into several factors.Several factors affect the size of a region's economy.As regional factors, there are variations in the final demand due to regional growth, in the input-output structure due to changes in technology, and in exports or imports to overseas countries.In addition, size may be affected directly, by changes in demand in the target region, or indirectly, by changes in economic relations among other regions.Therefore, in this study, Korea is divided into the target area, metropolitan area, and other areas, following which the multi-regional structural factor is decomposed and analyzed.Through this analysis, it was possible to determine the degree to which the change experienced by the regions over the 10 years under study, was due to the metropolitan area.

Model and data
IO tables are statistical tables that record the trade relationship between industries for a certain period in a matrix format, according to certain principles.Analyzing the interdependence between industries using such tables is called IO analysis or industrial linkage analysis.The Bank of Korea released its 2015 benchmark year table and updated it annually until the 2019 version (Bank of Korea 2020).
An MRIO Korea's regional IO tables for 2005, 2010, and 2015 were used to calculate the interregional inducement effect in this study.Two modifications were required to use these data together.The first was to unify the industry classification of regional IO tables, and the second, to realize the figures of each IO table expressed in nominal prices. 1he Bank of Korea updates the base year IO table every 5 years, and when a new table is released, the industry classification gets modified to reflect the changes in the industrial structure.The regional IO tables for 2005, 2010 and 2015 consist of 77 middle-sized categories, 82 middle-sized categories, and 165 small-and 82 middle-sized categories, respectively.In this study, these classifications were reclassified into 64 categories, based on the 2005-2010 and 2010-2015 matching classification tables published by the Bank of Korea.
In addition, because the IO table is composed as a nominal price, it is necessary to realize the values of each table.In this study, the prices of each industry in 2005 and 2010 were adjusted to those in 2015.The producer, export, and import price indices, released by Statistics Korea, were used for the price list, and the price index of an industry that does not exist was adjusted using a higher category or producer price index.
This study measured the impact of the Korean regions' specific industries on other regions through production inducement effects, using an IO table.To focus more on trade among regions, the effect of imports was excluded using a non-competitive import type IO table, in this study.In addition, exports were treated as an item of final demand.Assuming that A D is a multi-regional input coefficient, x is the gross output by region, and y is the final domestic demand, their relationship is as follows: As a result, the equation for the total output x is as follows: is called the production inducement coefficient or the Leontief inverse matrix.Assuming that the number of regions is n, the number of industries is m, the number of items of final demand is 1, B D y is an (m * n) × 1 matrix, and b k ij is the induced effect of industry k input from region i to region j .Because b k ij is an induced effect from region i for the final demand of region j , it corresponds to the interregional export of industry k to region j in region i and the interregional import of industry k to region i in region j .If this element b k ij is multiplied by the final domestic demand y k j for industry k in region j, the production inducement effect for industry k in region i by the final demand of industry k in region j is obtained.
Investigating the total input-based division of labor has been proposed as a means to consider the spread to exogenous regions and countries by identifying the role of imported intermediate goods that cannot be considered in the normal inverse matrix calculation.In this study, an analysis using the total input-based division of labor is conducted to discuss the division of labor among metropolitan areas and other regions, or areas within each region. (1) (2) To determine the regional division of labor, imports were introduced into the existing input coefficient matrix.Assuming that the input coefficients of intermediate goods from other regions in Regions 1 and 2 are A K 1 and A K 2 , respectively, and that the input coefficients of intermediate imported goods are A I1 and A I2 , the input coefficients of Regions 1 and 2 can be considered in the following form: This extended input coefficient was multiplied by the Leontief inverse matrix, which represents the spread in the endogenous regions of Regions 1 and 2 ( ).Consequently, we obtained the total amount of intermediate goods required for the production of one unit of each sector in the endogenous region, including the inducement effect on the endogenous and exogenous regions.Let this matrix be D: In matrix D, the total inducement effect on the endogenous region, exogenous region, and imports of one unit of production of each sector in each region are calculated using the columns of each sector in each region.Then, the ratio of the division of labor based on the total input is calculated by calculating the inducement effect ratio of the selfregion occupied by the column, and the ratio to other regions and imports.
Finally, this study adopted the method used by Akita (1999) for factor decomposition analysis, which considers the influence of different regions.The factors affecting economic change are largely final demand F , input structure A , export E , Leontief inverse matrix B, and domestic production share p in the input structure.Let the target area be D , the metropolitan area be M , and other areas be K , let 2015 be t and 2005 be 0 .For example, F DK represents the change in final demand transferred from region D to region K.The change in total output X from 2005 to 2015 in the D area can be expressed as follows: (3) (4) (5)

Output share and main industries
Table 1 shows Korea's total output share by region from 2005 to 2015.
The total output share proportion of the metropolitan area, and the relatively nearby Chungcheong, increased in all industries from 2005 to 2015.Meanwhile, the rest of the area showed a slight decrease.Gyeonggi showed the highest growth rate in all regions, increasing by 2.9%, from 16.8% in 2005 to 19.7% in 2015.This is interpreted as a more remarkable growth in Gyeonggi, where the proportion of the manufacturing industry, with more active intermediary transactions, is growing, as Korea's economic power is concentrated in the metropolitan area, but Seoul's economy is relatively service-oriented.The South Korean economy can be divided into manufacturing-and service-oriented regions.The service sector, which deals with people, is the key sector in big cities, where population and economic power are concentrated.However, the economy of regions with relatively low land costs and a smaller population density is primarily driven by manufacturing.Table 2 shows the proportion of total output in the country, limited to manufacturing.
Similarly, the metropolitan area has the largest share of the manufacturing sector.However, considering that the population in the metropolitan area accounts for approximately 50% of the country, it is more plausible to interpret that the manufacturing industry is relatively dispersed throughout the country.Clearly, the market share is lower in each economic area's central city and higher in the remainder of the region, than in all industries within each area.
Table 3 shows the proportion of the national total output limited to the service industry.
The concentration of the service industry is the most prominent in the metropolitan area.Within each region as well, the proportion of the service industry in the central city is relatively large.The metropolitan area, which constitutes the central region of Korea's overall economy, is sufficiently large to account for more than half of the service industry.In the metropolitan area, the proportion increased by 2.8%, from 55.7% in 2005 to 58.5% in 2015, thereby increasing dependence on the metropolitan area.In the remaining regions, i.e., Chungcheong, Jeolla, Gyeongbuk, and Gyeongnam, the proportion of the service industry is observed to be declining.Table 4 shows the proportion of Korea's top three industries within the region and the ranking of the scale within the region, calculated based on the total output in 2015.The third-ranked industry is real estate services, not semiconductors, but it was excluded because of the features of the industry.
The wholesale and retail trade and commodity brokerage services industry occupy the largest proportion in the regions corresponding to the central cities in each area.However, the proportion of the motor vehicle industry is larger than that of wholesale and retail trade in Gwangju, a central city in the Jeolla area, which is considered to have a relatively small economic scale compared to its geographic size.The main industries differ in each region.The semiconductor and other electronic component industries account for the largest portion of Gyeonggi and Chungcheong, while the main industry in the Jeolla region is the motor vehicle industry.The proportion of the steel industry in Gyeongbuk is the largest, while the maritime and motor vehicle industries are the largest in Gyeongnam.In this study, the industrial characteristics of each region and industry were analyzed by calculating the interregional production inducement effect and regional division of labor for wholesale and retail trade and commodity brokerage services, semiconductors and other electronic components, and motor vehicle industries, in consideration of the economic structure and primary industries of each region.

Interregional production inducement effect
In 2010 and 2015, the wholesale and retail trade and commodity brokerage services industries contributed the most to Korea's total output.Owing to the characteristics of the industry, it is concentrated not only in the metropolitan area, which serves as the center of the entire nation, but also in the central city of each area.The wholesale retail trade and commodities brokerage services industry's export and import effects on the production incentive effects are displayed in Table 5 by year and region.
If an area's economy is split into central and peripheral regions, the former's economy is typically more consumption-, service-, and distribution-oriented.In any given year, the metropolitan area accounts for the highest percentage in the wholesale, retail, and product brokerage service sectors, of which Seoul possesses a significant proportion.In the metropolitan area, the export effect in Incheon and Gyeonggi regions are large in scale, but the import effect is larger, because it is larger as importer in the metropolitan area than the exporter effect in the central area of Korea as a whole.As of 2005, it appears that for all central cities in each region, denoted in bold in Table 5, the export effect outweighs the import effect.Even though the size of the outweighing effect is small compared with the metropolitan area, it can be said that it serves as a core city for the surrounding area.In 2010 and 2015, the import effect was greater than the export effect in all regions, except Seoul and Busan.However, it cannot be interpreted that the central cities of all provinces, except Busan, lost their role as central cities.In this study, to interpret this phenomenon, the export and import effects within each area were calculated by region.Table 6 summarizes the interregional production-inducement effects in their own areas.
Table 7 shows the results of calculating the production inducement effect between the regions mentioned above, only in the areas to which the region belongs.For example, the export of Seoul's production inducement effect refers to the production inducement effect supplied from Seoul to Incheon and Gyeonggi, and import refers to the production inducement effect supplied from Gyeonggi and Incheon to Seoul.Looking at the interregional production inducement effect within the area, as in 2005, in both 2010 and 2015, the export effect was greater than the import effect in the central city of each region, and displayed an increasing trend.In other words, each central city still functions as a central city.However, the effect of national concentration on the metropolitan area overwhelms this effect, and the import effect on the metropolitan area is greater than the export effect within each area.
The motor vehicle industry is Korea's primary industry, along with the semiconductor industry, which is highly dependent on trade.In contrast to wholesale and retail trade and product brokerage services, the motor vehicle industry appears to be clearly specialized in particular regions.The industry in Korea is primarily concentrated in two large companies, Hyundai and Kia, and the factories of both companies are located in Ulsan, Gyeonggi, Chungnam, Jeonbuk, and Gwangju.Therefore, the export effect in these regions was observed to be large.
The automobile industry has been developing in line with the regions it is located in as it is not easy to relocate the center of the industry unless there is a sudden change in operations, such as the establishment, relocation, or closure of a new factory, owing to the characteristics of the industry.In addition, it is expected that it will be difficult to establish factories in the centers of regions because of the characteristics of the consumption-and service-oriented metropolitan economy.In fact, it is interpreted that this trend is expected to be maintained, since the establishment of new factories is being planned mainly in peripheral regions.However, among the central regions, Gwangju has a large motor vehicle industry, which could be because the economy and population of the Jeolla area are relatively small compared with other areas (Table 8).
The semiconductor and other electronic components industry, including the motor vehicle industry, is concentrated in the regions, where its factories are located.The semiconductor and other electronic parts industry encompasses semiconductors and display parts.Semiconductors are concentrated in Gyeonggi and Chungbuk, and the display industry factories are concentrated in Gyeonggi, Chungnam, and Gyeongbuk.Gyeonggi, where several semiconductor and display factories are located, is growing annually.On the other hand, the size of Gyeongbuk is gradually decreasing, which is interpreted as the stagnation of LG Display located in Gyeongbuk.

Division of labor by region based on total input
As seen in the previous section, wholesale and retail trade and product brokerage services are closely related to the metropolitan area and other regions across the country.Therefore, the division of labor for 2005 and 2015 was calculated by dividing it into four categories: intra-regional, intra-area, metropolitan area, and others.Among all regions, Seoul and Busan, exceed 50%, and the rest of the regions produce wholesale and retail trade and product brokerage services in their own regions, slightly below 50% as of 2015.Looking at the dependence on the metropolitan area, as of 2005, all regions, except for the Gyeongnam area, depended on the metropolitan area for a little over 20%.Daejeon, Gwangju, Daegu, and Busan, which are the central cities of each area, showed an increase in dependence of approximately 1.5-2.7%,and the increase in the remaining regions was approximately twice that of the central region.However, the dependence on the region to which one belongs generally decreases, and this trend is more pronounced in regions other than the central areas.Therefore, each region's dependence on the metropolitan area was higher in 2005 than on itself, but in 2015, this trend intensified.The Gyeongnam region, which had a relatively greater dependence on  itself, also showed about twice as much dependence on the metropolitan area, and more severe dependence in other regions, in 2015.Some regions are highly specialized for the motor vehicle sector, and dependence on these regions is anticipated to be significant.For this reason, Table 9 details the regional division of labor in the motor vehicle industry for all regions, not just the metropolitan area and outlying regions (Table 10).
As of 2005, the region contributing the most to the motor vehicle industry was Gyeonggi, which has the largest economy.In addition to the metropolitan area, Gyeonggi significantly affected the Chungcheong and Jeolla regions.There are some motor vehicle plants in the Chungcheong region, contributing significantly to Daejeon.It also makes a significant contribution to other regions.In the Jeolla area, there are automobile plants in Gwangju and Jeonbuk, but the impact on other regions is not significant, while Gyeonggi contributed significantly to the Jeolla region.As there are automobile component factories in Gyeongbuk and several automobile factories in Gyeongnam, the interdependence between the two areas was found to be high.Overall, the regions in which the automobile industry has developed have close industrial relationships within their own areas (Table 11).
Compared with 2005, the proportion of all regions of Gyeonggi was higher in 2015.The contribution to other regions was found to be high in Chungnam, Gyeongbuk, and Gyeongnam.The Gyeongnam and Gyeongbuk areas show a high level of contribution within their own regions, but the dependence between the two areas has decreased since 2005.
Table 12 shows the regional division of labor in the semiconductor and other electronic component industries.The first column of each year represents the division of the labor rate within the region, the second represents that induced by other regions within its area, the third represents that induced by other regions, and the last represents the proportion of imports.
The semiconductor and other electronic component industry has a lower division of labor within the region, compared to other industries, because its factories are concentrated in several regions.Gyeonggi has the largest plants in Korea for both, the semiconductor and display industries, and reflecting this, Gyeonggi has the highest rate of division of labor in its region, despite the largest final demand.Gyeonggi also accounts for the highest proportion of labor in other regions.The division of labor in other regions outside the metropolitan area is higher, because the industry in Gyeonggi is larger and more important.
In addition, compared to other industries, the semiconductor and other electronic component industry is heavily dependent on imports, relying largely on the United States, Japan, and recently China for materials and components.Compared to 2005, the proportion of imports in 2015 decreased in all regions, which can be interpreted as a result of steady localization efforts by the Korean semiconductor industry.Nevertheless, the input sector of the semiconductor industry, one of Korea's main industries, relies considerably on imports.

Multi-regional structural decomposition analysis
This section analyzes the extent to which each factor has contributed to regional growth in the 10 years from 2005 to 2015 for the three industries covered so far.The regional classification is classified into each economic area, and the factors affecting it are classified into eight categories.The impact of the regions they are located in, includes final demand, input and output structure, exports and imports, and direct and indirect effects for the metropolitan area and other regions.The direct effect is caused by an increase in demand for the target area in the metropolitan area or other regions, while the indirect effect arises from economic relations among other regions.
Table 13 shows the growth factors for the wholesale and retail trade and commodity brokerage service industries.The last two rows show the average annual growth rate for the 10 years under consideration, and the total output as of 2015.
The biggest causal factor for the growth of the wholesale and retail industry is the increase in final demand.This can be observed from the fact that Korea's economy grew significantly from 2005 to 2015.In both, the metropolitan area and outside, the factors within own areas were the main growth factors.In particular, the wholesale and retail industry developed due to growth in the area, except for the metropolitan area, which, along with other areas, has a negative impact.Only the metropolitan area is positively affected by other regions, and it is more intuitive to know the dependence on the metropolitan area, which is confirmed by the production-inducement effect among regions.Table 14 lists the growth factors of the motor vehicle industry.
All automobile industry regions are significantly affected by exports as growth factors.Overall, the input and output structures have a negative impact, as do imports, owing to the increased demand for imported cars, especially in metropolitan areas.This is interpreted as a result of the increase in demand for foreign cars, especially in metropolitan areas, as the economy develops.The demand for the automobile industry in the metropolitan area has increased significantly, which not only has a great impact on growth in the metropolitan area, but also serves as a major growth factor in regions other than Gyeongbuk.Since Gyeongbuk is not specialized in the automobile industry, it has been indirectly affected by the relationships among automobile industries in other regions.In summary, an increase in exports and a significant increase in final demand in the metropolitan area accounted for the majority of the growth components in the motor vehicle industry.The importance of the metropolitan area as a center for consumption has also increased significantly.
The semiconductor industry's growth factors are displayed in Table 15.
The semiconductor industry itself is not very active in the Jeolla and Gyeongnam regions; hence, the factors for growth do not have much significance, and there has been limited development in 10 years under study.The growth of the semiconductor industry depends on exports.Exports accounted for the largest factor in the Seoul metropolitan area, and Chungcheong and Gyeongbuk, especially the two regions with the largest semiconductor industry, with a growth factor of more than 80%, i.e., both, Seoul metropolitan area and Chungcheong.Compared with the wholesale, retail, and motor vehicle industries, the semiconductor industry has relatively few growth factors owing to direct demand in the metropolitan area.In other words, the direct impact on the metropolitan area is small.Nevertheless, the semiconductor industry itself is concentrated in the metropolitan area, as production factories are concentrated there, especially in Gyeonggi.

Conclusion
In this study, the interregional production inducement effect of wholesale and retail trade and commodity brokerage services, the motor vehicle industry, the semiconductor and other electronic component industries, and the division of labor by region are calculated using Korea's MRIO table for 2005, 2010, and 2015.Using this indicator, the dependence of each region on the metropolitan area and the influence of an area's primary industry on other regions were analyzed.The wholesale and retail trade and commodity brokerage services industries are most active in the central region and in large cities.If a region functions as the central region for surrounding areas, the export effect to the latter increases.Large cities in each region, such as Seoul, Daejeon, Daegu, Busan, and Gwangju, function as central cities in terms of the size of industry and its impact on the surrounding areas.However, in Gwangju, the impact was less than that in other central cities.In addition, compared to 2005, central cities, except Seoul and Busan, had a greater import, than export effect in 2015 because of greater concentration in the metropolitan area.In other words, each central city, except Seoul, plays a greater role as a surrounding metropolitan area than as a central city.
The concentration of the motor vehicle, semiconductor, and other electronic component industries, which are representative manufacturing industries in Korea, is also increasing in the metropolitan area.In the case of the motor vehicle industry, Gyeonggi accounted for the second largest portion in 2005 and the largest in 2015.The division of labor in other regions also accounted for the largest portion as a whole, and the share increased from 2005 to 2015.The semiconductor and other electronic component industries increased rapidly in Gyeonggi over time, becoming the largest major industry.The division of labor for final demand in other regions is larger than that in the motor vehicle industry, which leads to a significantly increased dependence of the major manufacturing sectors on the metropolitan area.
However, in the wholesale and retail industries, the final demand in the Seoul metropolitan area increased rapidly, but the final demand in other regions decreased significantly, reducing the impact of demand in the metropolitan area.This trend is expected to worsen as many manufacturing industries flock into Gyeonggi.An increase in final demand for the automobile industry from the metropolitan area greatly affects both, the metropolitan area and other regions.In addition, the growth of exports, in line with the development of Korea's automobile industry, has also been identified as a major factor, confirming that overseas demand can also play an important role, in addition to domestic demand from the metropolitan area.In the semiconductor industry, overseas exports account for an absolute proportion as a growth factor, and because of the features of the industry, they are not significantly related to the final demand in the Seoul metropolitan area.However, in terms of economic structure, the demand in the metropolitan area is small, but considering other factors, such as people's preference for jobs in the metropolitan area or logistics movement, the metropolitan area and the Chungcheong area are applicable; therefore, various factors should be considered together.
Korea's concentration in the Seoul metropolitan area has emerged as a serious problem over time.The metropolitan area previously functioned as an area, wherein the consumer and service industries flourished, creating an economic structure centered on manufacturing in areas other than the metropolitan area.Furthermore, central cities also functioned in such areas.However, over time, the metropolitan area also witnessed a greater concentration of manufacturing.In other words, it is anticipated that the function currently served by the metropolitan area will progressively transfer to Seoul, whereas the current role of outlying regions will gradually shift to Gyeonggi.The most recent data included in this study were from 2015, which was more than 5 years ago.It is anticipated that an additional in-depth discussion of the current concentration phenomenon in the Seoul metropolitan region will be possible once more recent MRIO data are available.

0
In the above equation, B DD t p DD t F DD is influenced by changes in final demand in D region, by changes in the input-output structure in D region, B DD t E D is influenced by changes in exports in D region, and B the import share in D region.In addi- tion, B DD t F DM + A DM X M 0 indicates a direct effect of the metropolitan area, an equation related to B DM t indicates an indirect effect of the metropolitan area, B DD t F DK + A DK X K 0 is a direct effect of other regions, and an equation related to B DK t indicates an indirect effect of other regions.
table was used for the IO analysis of each region.The MRIO table is an IO table that reflects the different production technology structures and transaction types by region and analyzes the interdependence between regions and industries.The latest Korean table is the 2015 table, which uses the 2015 benchmark year IO table.

Table 1
Total output share by region.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)

Table 2
Total output share by region in manufacturing industry.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)

Table 3
Total output share by region in the service industry.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)

Table 4
Three main industries' share and rank based on total output in 2015.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)

Table 5
Interregional production inducement effects in the wholesale and retail and commodity brokerage services industry in the whole country.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr) Export represents the value transferred to other regions, and import means the value transferred from other regions Unit:

Table 6
Interregional production inducement effects in the wholesale and retail and commodity brokerage services industry in each area.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)Export represents the value transferred to other regions, and import means the value transferred from other regions Unit:

Table 7
Interregional production inducement effects in the motor vehicle industry in 2005, 2010, and 2015.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr) Export represents the value transferred to other regions, and import means the value transferred from other regions

Table 8
Interregional production inducement effects in the semiconductor and other electronic components industry in 2005, 2010, and 2015.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr) Export represents the value transferred to other regions, and import means the value transferred from other regions

Table 9
Regional division of labor in the wholesale and retail trade and product brokerage services industry.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)Table10Regional division of labor in the motor vehicle industry in 2005.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)

Table 11
Regional division of labor in the motor vehicle industry in 2015.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)

Table 12
Regional division of labor in the semiconductor and other electronic components industry.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)

Table 13
Growth factors of the wholesale and retail industry in each area between 2005 and 2015.Source: Author's calculation based on the Korean regional IO table (https:// ecos.bok.or.kr)

, trillion won Metropolitan Chungcheong Jeolla Gyeongbuk Gyeongnam
Table 14 Growth factors of the motor vehicle industry in each area between 2005 and 2015.

Table 15
Growth factors of the semiconductor and other electronic components industry in each area between 2005 and 2015.Source: Author's calculation based on Korean regional IO table (https:// ecos.bok.or.kr)

Table 16
Correspondence table from 2005 Korean IO table to reclassified IO table.Bank of Korea (2009) Regional input-output statistics, vol 2005.Bank of Korea

Table 17
Correspondence table from 2010 Korean IO table to reclassified IO table.Bank of Korea (2015) 2010/2013 Regional input-output statistics.Bank of Korea

Table 18
Correspondence table from 2015 Korean IO table to reclassified IO table.Bank of Korea (2020) Regional input-output statistics, vol 2015.Bank of Korea