A Comparative Study of Sustainable Transition from Catch-up to Post Catch-up of South Korea and China

: The essence of the experience of East Asia has been on technological capability building and dynamic industrial transitions from one stage to the next. While many studies for understanding the catch-up process and post catch-up agendas exist, empirical and comparative studies that consider the transition from catch-up to post catch-up are still rare. The signiﬁcance of this research can be summarized in two ways. First, this study veriﬁes the conformity of existing major catch-up to post catch-up transition studies with quantitative evidence. Second, by comparing commonalities and patterns from South Korea and China, this study examines the generality of the discourses and arguments about the transition from catch-up to post catch-up. The reﬂexive study of understanding transition from catch-up to post catch-up was conducted with a technology cycle time (TCT), self-citation ratio at a country level, and the basic research expenditure of Korea and China by using the US Patents and Trademark O ﬃ ce’s (USPTO) patent citation (for technology cycle time & self-citation ratio) and OECD’s database (basic research expenditure and gross domestic expenditure on basic research) for time period from 1998 to 2012. Empirical evidence of technology cycle time, self-citation ratio and gross domestic expenditure on basic research matched well with the prior transition arguments. First, Korea’s case shows a post catch-up trend with an increasing technology cycle time while China’s case presents catch-up trend (short-cycle period) and shifts to post catch-up trend (post catch-up trend). Self-citation ratios for both countries show increasing and converging pattern. In terms of basic research activities, both countries show increasing pattern. Korea exceeded the gross domestic expenditure on basic research of Japan and the US. Even though, China’s gross domestic expenditure on basic research has been tripled from 1998 to 2012, China’s gross domestic expenditure on basic research has still a long way to go to close the gap and to show a converging pattern. Many developing countries that once experienced a certain level of successful catch-up did not overcome the middle income trap have fallen behind. Understanding transition process of catch-up to post catch-up discussed in this paper may present a better understanding of long-term sequential development and economic sustainability of developing countries.


Introduction
Among many forms of knowledge, scientific and technological knowledge has played an important roles in achieving richness and abundance to human life. Various phenomena in the process of technological innovation include absorption and utilization of technological knowledge. By tracking the absorption and utilization of technological knowledge flow, we can gain better understanding of technological innovation and its influences on the economy and civil society.
In the past industrialization process, Korea has achieved high economic growth by carrying out innovation activities to adopt, assimilate and improve foreign technologies with the goal of catching

Literature Reviews of the Catch-up and Post Catch-up Frameworks
Catch-up was used first by the Gerschenkron for explaining the economic growth of Europe and the rise of the UK in the late nineteenth century [19]. Fagerberg and Godinho define the catch-up as "narrowing of country's gap in productivity and income toward a leading the world as a whole" [20]. Song et al. defined post catch-up as innovation activities that form a new technological trajectory due to first, the absence of imitation and catch-up objects, and second, the accumulation of the technological capabilities of developing nations or latecomers [21]. It is process-oriented concept for establishing a new innovation system while the activities of each innovation agent form a new technology trajectory [21]. In addition, the post catch-up approach is a dynamics framework that can understand the organizational and institutional competency and continuity accumulated through the catch-up process, and at the same time, it takes into account the discontinuity of a technology trajectory which can occur due to changes in the environment [21].
Kindleberger applied the concept of catch-up and explained the background and motivation of Japan's rapid catch-up to the United States [22] while Amdsden's study analyses the limitations and economic difficulties of non-Western latecomers [23]. Lee clarifies that catch-up studies prior to Kindlerberger [22] and Amdsden [23] have focused mainly on how developing countries have acquired and improved their technological capabilities by absorbing the obsolete technologies from developed countries based on product life cycle theory [24][25][26]. These studies include Utterback and Abernathy [26], Bolton [27], Kim [28], and Lee et al. [29]. Table 1 below shows the stage models of technological innovation capabilities mentioned above. Table 1. Stage models of technological innovation capabilities.
However, a latecomer does not simply follow the same path paved by advanced countries. They skip stages or create their own unique path for technological development while accumulating their own technology capabilities [24,25,30]. From these possibilities and observations, Perez and Soete [32] suggested the leapfrogging strategy.
Taking into account the possibilities of path-skipping and path-creating strategies that developing countries can initiate, Lee provided a strong argument that leapfrogging can occur more frequently if developing countries (latecomers) focus and target short cycle sectors and take advantage of specialization from these sectors [24,25]. A short cycle time means that the industry relies less on existing technologies and can seize the greater opportunities that arise from the emergence of new ones [1,24,25,33,34].
Lee's study shows that patent application from South Korea increase in technology fields with shorter cycle times of technology such as electronics and ICT sectors and decreases in an average cycle time (a lower technology cycle time) until around 2000 [1,24,25]. Focusing and targeting short cycle time sectors in South Korea has been considered as a very useful national development model and a successful case for developing countries.
However, around 2000, Lee also observed that the technology cycle time of Korea reached a turning point [1,24,25]. From around 2000, the decreasing trends of average cycle time stopped, and turned into increasing trends after the early 2000s. Lee's study asserted that this technology cycle time shift represents the start of the post catch-up transition stage of the South Korea. According to Lee, this turning point and increases in cycle time (higher technology cycle time) were due to Korean firms' efforts to get into long cycled sectors such as pharmaceuticals and biotechnologies [1,24,25] (However, the current study presents rather contradicting empirics, as seen in Section 4).
In the past, Korea has successfully secured a competitive edge of the "fast follower" by successfully adopting advanced technologies and gradually improving. Since the 2000s, Korea has experienced the rigidity of the "catch-up" path. The study of "post catch-up" innovation activities emerged to deal with how innovative actors create new ways of conducting and organizing work in a new environment, and how these new activities interact with organizational methods, rules and institutions [21].
Post catch up discourse have received attention from many scholars and policy-makers in South Korea. These discourses grew from the need to lock-out the self-reinforcing and path-dependent catch-up inertia and the needs to create a new path. There were various arguments and debates about the post catch-up transition from policy-makers and scholars in South Korea. No universal answers could be found but innovation study scholars in Korea made general consensus for making distinctions between the catch-up stage and post catch-up stage as seen in Table 2 below. Making Culture [36][37][38] The main argument of the first dimension about post catch-up transition in terms of technology life cycle was mainly asserted by Lee's study and has been discussed above. The significance of the localization of knowledge creation was already mentioned in the discussion of literature review of GVC and NIS literature. In the very early stage of economic development, Korean firms entered into a market which was already mature in developed countries and absorbed obsolete technologies. The internalization of knowledge processes gradually developed the technological capabilities of Korea, and thus Korean firms can now accumulate technological capabilities to acquire products and technologies which are in a transition phase [26] from developed countries.
This process further develops to the point where it is possible to acquire high technology capability that can ultimately acquire the technology and products of advanced countries, which is in the stage of fluid stage [26] in developed countries. Many Korea firms evolved from Original Equipment Manufacturer (OEM) into Original Design Manufacturer (ODM), and, finally, Original Brand Manufacturer (OBM) [1,8,24,25]. These indigenous innovation activities and efforts to upgrade into higher value-added positions favored strengthening the localization of knowledge creation.
Unlike the catch-up stage, in which the target of catch-up clearly exist, the post catch-up innovation activity has no target to catch [21]. Song et al. assert that countries like Korea which experienced relatively successful economic and technological catch-up can manage to accumulate knowledge, and set up institutions and infrastructures to develop further, but their knowledge base for conduct basic research is still inevitably weak compared to advanced countries [21]. In these unique contexts, strengthening basic research activities was justified with dominant supports from the government officials and scholars [1,24,25,35,36]. Establishing institutions, manpower, funding for conducting basic research was considered as important national agenda in South Korea.
It is also worth mentioning that Song et al. [21] classified the firm-level post catch-up technological innovation activities into three types. The first type (deepening) of post catch-up innovation is the capital-intensive industry and this type of firms accumulate knowledge from the existing mainstream industries. Emblematic industries of the first type include Nano-fiber and semiconductors. The first post catch-up type has the characteristics of developing specialized equipment and materials through interaction with companies, or obtaining original technologies through industry-academic cooperation with universities and research institutes [21].
The second type (architecture innovation) of post catch-up innovators enter to the market immediately after the dominant design is established and performs leading technological innovation through product differentiation based on application capabilities (mobile phone chips, set-top boxes, etc.). Architecture innovation can be said to be an innovation that changes the way in which existing elements are combined [21,39]. The second type performs technological innovation through effective co-learning with user companies which lead architecture innovation.
The third type (innovations from securing original technology or basic research results) of post catch-up innovation is the case of possessing and commercializing the original technology in a niche area. Emblematic industries in which this post catch-up innovation type frequently occurs include biopharmaceuticals and microprocessors industries. The third type commercializes new technologies through close links with basic research institutes such as universities, government research institutes, and large companies [21].

Methodology and Research Design
This study only examined and performed quantitative analysis for macro level technological regime dimensions from the Table 2 above. This was due to the fact that the organizational structure, culture, and social problem dimensions were not comparable quantitatively and case study may be more suitable to trace them in further studies.
It is challenging to compare two countries' national innovation systems and their innovation activities. Using patent data to analysis the technology cycle time and self-citation ratio yields advantages and limitations simultaneously [40]. It is obvious that patents do not cover all the innovation activities of the firms. Moreover, many studies including this one only compare the quantitative dimensions of the patents, and do not handle qualitative information from each patent.
Though there are many limitations, patents, especially, the US patent database, have been increasingly used for conducting comparative studies at the national level and serve as a reliable "paper trail of knowledge flows" [41]. Patent citations can be considered as important knowledge links among the individuals, institutions and countries which access them.
For our study's purpose, data from the US Patents and Trademark Office (USPTO) has been obtained and used (publication years: 1998-2012) to compare South Korea's and China's technology life cycle and degree of knowledge creation localization respectively. Selecting the USPTO database to conduct the comparative study has its reasons. Korea's and China's patent database has only recently provided a database of citation, while the USPTO has been systemically collecting and opening citation data for a longer period of time.
The first dimension, technology life cycle concerns how fast an industry's or company's technology and knowledge domains become obsolete. The technology cycle time which was first suggested by Narin and Smith [42] is most generally used to measure technology life cycle. Technology cycle time can be calculated by averaging time lags (scale: years; year to year comparisons) between the publication years of citing and cited patents. An industry with a short technology cycle time means that the knowledge fields of the corresponding industry quickly become outdated and obsolete [1].
This study uses Lee's study [1,24,25] as the foundation and critical references for analyzing the empirics of catch-up and post catch-up transitions. Moreover, this study also complies with Lee's argument that targeting and specialization into shorter-cycled sectors can be advantageous and provide greater opportunities for developing countries' catch-up [1,24,25]. This study also accepts his assertion of Korea's turning point from a short cycle time to a long cycle time as a beginning of post catch-up transition. However, this study does not follow Lee's prediction that longer TCT is due to relatively long TCT with emblematic industries, such as the bio industries or pharmaceuticals industries. The empirics from this research reveal this point in Section 4.
Reflecting the literature reviews [1,24,25], this study posits that Korea's TCT will show increasing trends since Korea have reached post catch-up stages from 2000s, while China's technology cycle time presents a V-shape pattern, decreasing in the catch-up stages and increasing after China gets into the post catch-up stage. A statistical analysis of technology cycle time was conducted in Section 4 as below, using the following method: The second dimension, the localization of knowledge creation concerns the source of knowledge creation and measures the dependency on foreign knowledge bases and domestic knowledge bases of a nation or a company. This study followed the same operation definition used in prior researches such as Lee's study [1,24,25,35], and Hu's study [43] which measure and conduct country-to-country comparison for the localization of knowledge creation.
To quantify the degree of knowledge creation localization, this study measured the patent's self-citation ratio at the country level (for example, the percentage of the US patent filed by a Korean citizen cites other US patents filed by Korean citizens and so forth). This study posits that both Korea and China's self-citation ratio shows increasing patterns through time groups.

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An ANOVA test was conducted on each country's localization of knowledge creation (scale: percentage) in terms of time groups to examine whether the localization of knowledge creation for both Korea and China shows increasing patterns in terms of time groups. This is comparison within a country.

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A Pairwise t test was used for comparing the mean differences of Korea, China, Japan, and the US's localization of knowledge creation over 15 years. A pairwise t-test was performed to see whether the localization of knowledge creation of Korea and China shows converging pattern or not. This is country-to-country comparison.
For analyzing the last dimensions, basic research activities and investments, basic research expenditure and gross domestic expenditure on basic research as a percentage(GDEB) data were obtained (1998-2012) from the OECD database. Measurements were based on the Frascati Manual 2015: Guidelines for Collecting and Reporting Data on Research and Experimental Development [44].
Given the limitations in financial resources and technological capabilities, developing nations may not have the chance to invest in basic researches in their early stages of catch-up. Developing nations and their firms may conduct basic research when they accumulate certain amounts of knowledge and economic profits. From the literature review, this study posits that both Korea and basic research expenditure (absolute expenditure, gross domestic expenditure) shows increasing patterns through time groups.

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An ANOVA test was conducted on each country's basic research expenditure and gross domestic expenditure on basic research as percentage in terms of time groups to examine whether the basic research expenditure (scale: purchasing power parity by dollars, in thousands) and GDEB (scale: percentage) for both countries show increasing patterns in terms of time groups. This is comparison within a country. • A pairwise t-test was used for comparing the mean differences of Korea, China, Japan, and the US's GDEB over 15 years. A pairwise t-test was performed to see whether the GDEB of Korea and China show a converging pattern or not. This is country-to-country comparison. This study did not conduct a pairwise t-test for basic research expenditure. This was because the absolute amount of the basic research expenditure will strongly depends on a country's size (especially GDP and population) and country-to-country comparisons may not be suitable.
It is crucial to understand that catch-up and post catch-up literature, including this study, have not tested and suggested the appropriate degree (or quantity) of technology cycle time, self-citation ratio and basic research expenditure. Three dimensions and corresponding variables are comparable

Statistical Analysis of Technology Cylce Time
This study analyzed three main technological-regimes-related variables: the technology cycle time, the country level self-citation ratio and the basic research expenditure for both Korea and China during 1998-2012. First, Table 3 shows the descriptive statistics of TCT for both Korea and China. From the descriptive statistics and the mean plots of South Korea and China, it is seen that the two countries present different paths in terms of mean technology cycle time from 1998 to 2012. First, Korea's TCT means increased through the three time groups. (group 1: 7.54, group 2: 8.38, group 3: 10.30 respectively) However, China's TCT means decreased from time group1 to time group2 (10.50 and 9.74 respectively) and increased from time group 2 to time group3 (9.74 and 10.53 respectively).  Figure 2 below is the mean plot of both South Korea's and China's TCT. It is seen that Korea's TCT presents an increasing pattern while China`s TCT presents a V-shaped pattern. An ANOVA test was conducted for both Korea`s and China's TCT, and the results are shown in Table 4.

Statistical Analysis of Technology Cylce Time
This study analyzed three main technological-regimes-related variables: the technology cycle time, the country level self-citation ratio and the basic research expenditure for both Korea and China during 1998-2012. First, Table 3 shows the descriptive statistics of TCT for both Korea and China. From the descriptive statistics and the mean plots of South Korea and China, it is seen that the two countries present different paths in terms of mean technology cycle time from 1998 to 2012. First, Korea's TCT means increased through the three time groups. (group 1: 7.54, group 2: 8.38, group 3: 10.30 respectively) However, China's TCT means decreased from time group1 to time group2 (10.50 and 9.74 respectively) and increased from time group 2 to time group3 (9.74 and 10.53 respectively).  Figure 2 below is the mean plot of both South Korea's and China's TCT. It is seen that Korea's TCT presents an increasing pattern while China's TCT presents a V-shaped pattern. An ANOVA test was conducted for both Korea's and China's TCT, and the results are shown in Table 4. F-test and following p-value (0.000 and 0.033 for Korea and China respectively) from Table 4 show that there are statistically significant differences in both Korea's and China's technology cycle time in terms of time groups. To have a better understanding of the two countries' differences in TCT requires a comparison to two other countries, Japan and the US. Both countries serve as representatives of two developed countries. Second, this study examined the proportion of the international patent classification of the US patents granted to Korea and China. This examination reveals what major technology fields caused the increase and decrease of the two countries' TCT, and whether changes in the structure and proportion of technology fields and corresponding industries were the main causes of these TCT changes.
From Figure 3 below, it is seen that Korea's TCT follows Japan`s and US's increasing patterns. Lee [19] presents the cases of Korea and Taiwan, and asserts that developing countries with successful catch-up tend to show patterns of short cycle time (less barrier to entry, easy to copy or get access to technology, less reliance on tacit and complex knowledge) while advanced countries tend to show a pattern of a long cycle time (more barrier to entry, hard to copy or get access to technology, more reliance on tacit and complex knowledge). From a country with a short TCT, Korea has changed to a country with long TCT through the 2000s. Lee's argument [1,19] about the transition from a catch-up stage (short cycle time) to a post catch-up (long cycle time) has been realized as Lee's studies proposed.   F-test and following p-value (0.000 and 0.033 for Korea and China respectively) from Table 4 show that there are statistically significant differences in both Korea's and China's technology cycle time in terms of time groups.
To have a better understanding of the two countries' differences in TCT requires a comparison to two other countries, Japan and the US. Both countries serve as representatives of two developed countries. Second, this study examined the proportion of the international patent classification of the US patents granted to Korea and China. This examination reveals what major technology fields caused the increase and decrease of the two countries' TCT, and whether changes in the structure and proportion of technology fields and corresponding industries were the main causes of these TCT changes.
From Figure 3 below, it is seen that Korea's TCT follows Japan's and US's increasing patterns. Lee [19] presents the cases of Korea and Taiwan, and asserts that developing countries with successful catch-up tend to show patterns of short cycle time (less barrier to entry, easy to copy or get access to technology, less reliance on tacit and complex knowledge) while advanced countries tend to show a pattern of a long cycle time (more barrier to entry, hard to copy or get access to technology, more reliance on tacit and complex knowledge). From a country with a short TCT, Korea has changed to a country with long TCT through the 2000s. Lee's argument [1,19] about the transition from a catch-up stage (short cycle time) to a post catch-up (long cycle time) has been realized as Lee's studies proposed. This study also conducted pairwise t-test for four countries (Korea, China, Japan, and the US) from 1998 till 2012 and the results are shown in Table 5. First of all, Korea's and China's TCT mean difference was −1.513. This difference is statistically significant at alpha = 0.05 (p-value: 0.001). Moreover, it is shown that there was no statistically significant difference between Korea's mean TCT and Japan's mean TCT during 1998-2012 (p-value: 0.433). This results reveals that Korea's TCT and Japan's TCT shows rather converging patterns during these 15 years. It is also noticeable that there is a statistically significant difference between China's mean TCT and Japan's TCT (p-value: 0.004). From Appendix B, this study found rather contradicting evidence for explaining what actually made such increases in technology cycle time in Korea. Korea's case reveals that there were no major shifts in International patent class (IPC) proportions across time and Korea shows a path-dependency of a strong proportion of electronics-and ICT-related technology fields in terms of patents granted. Electronics-and ICT-related technology fields comprised a high proportions from the top ten IPC list in Korea's case and the total percentages of both H, and G IPC classification increased across time groups. It is shown that HO1L (SEMICONDUCTOR DEVICES) take up the most proportion for all three time groups and B41J (TYPEWRITERS; SELECTIVE PRINTING MECHANISMS) were included once in time group1 but disappeared through time group 2 and time group 3 (see more detailed IPC descriptions in Appendix C).
This study found no convincing evidence to prove the predictions that a longer TCT is due to an increase in relatively long TCT industries' proportions, such as the proportions from the bio industry and medicine industry. Instead, a longer TCT in the post catch-up stage in Korea's case resulted from This study also conducted pairwise t-test for four countries (Korea, China, Japan, and the US) from 1998 till 2012 and the results are shown in Table 5. First of all, Korea's and China's TCT mean difference was −1.513. This difference is statistically significant at alpha = 0.05 (p-value: 0.001). Moreover, it is shown that there was no statistically significant difference between Korea's mean TCT and Japan's mean TCT during 1998-2012 (p-value: 0.433). This results reveals that Korea's TCT and Japan's TCT shows rather converging patterns during these 15 years. It is also noticeable that there is a statistically significant difference between China's mean TCT and Japan's TCT (p-value: 0.004). From Appendix B, this study found rather contradicting evidence for explaining what actually made such increases in technology cycle time in Korea. Korea's case reveals that there were no major shifts in International patent class (IPC) proportions across time and Korea shows a path-dependency of a strong proportion of electronics-and ICT-related technology fields in terms of patents granted. Electronics-and ICT-related technology fields comprised a high proportions from the top ten IPC list in Korea's case and the total percentages of both H, and G IPC classification increased across time groups. It is shown that HO1L (SEMICONDUCTOR DEVICES) take up the most proportion for all three time groups and B41J (TYPEWRITERS; SELECTIVE PRINTING MECHANISMS) were included once in time group1 but disappeared through time group 2 and time group 3 (see more detailed IPC descriptions in Appendix C).
This study found no convincing evidence to prove the predictions that a longer TCT is due to an increase in relatively long TCT industries' proportions, such as the proportions from the bio industry and medicine industry. Instead, a longer TCT in the post catch-up stage in Korea's case resulted from increases in electronics-and ICT-related patents' TCT, which take up the major proportion and influence Korea's mean TCT overall.
While Korea's TCT shows a one-way increasing patterns, China's TCT presented a V shaped patterns during the 15 years studied. China's V-shaped pattern was already shown in South Korea's case [1,19]. Until 2007 and 2008, China's TCT decreased and increased again through time group 3. Lee's argument [1,19]  It is noticeable that a heavy weight on electronics and ICT technology field patent publication continue through time group3. In other words, there was no major shift in IPC proportions from time group2 to time group3 and China shows path-dependency and a strong proportion of electronics and ICT in terms of patents granted, like South Korea showed it before. This study found no convincing evidence to prove the predictions that longer TCT is due to relatively long TCT industries, such as the bio industry and medicine industry, and electronics and ICT sectors take up a high portion of the US patents granted in China's case again.
After observing technology cycle time's change in the same industry (or technology field), these questions must be asked.

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Can we really distinguish technology fields or industries with long TCT and short TCT in the first place? • Do TCTs from technology fields show converging or diverging patterns?
Appendix D shows a comparison (granted US patents from all nations) among H01L (SEMICONDUCTOR DEVICES), G06F (ELECTRIC DIGITAL DATA PROCESSING), B01J (CHEMICAL OR PHYSICAL PROCESSES) and A61K (PREPARATIONS FOR MEDICAL, DENTAL, OR TOILET PURPOSES). Both H01L and G06F listed on both Korea's and China's Top ten registered patent lists. A61K and B01J only appeared in China's Top ten listed. From Appendix D, all four IPC classes' TCT present increasing patterns and the gaps between the long TCT classes (here, A61K and B01J) and short TCT classes (here H01L, and G06F) did not converge. The IPC classes with a long TCT remained long compared to the IPC classes with a short TCT in relative sense (generalization needs to be followed in further studies).

Statistical Analysis of Self-Citation Ratio at Country Level
For analyzing the second variable, localization of knowledge by country level, Table 6 below presents the descriptive statistics and Figure 4 shows the mean plots in terms of time groups. From the descriptive statistics and the mean plots of South Korea and China, it is seen that both countries present the same increasing patterns in terms of the mean of self-citation ratio across all time groups. Korea's mean of self-citation ratio increased from 19.9% in time group1, 29.7% for time group 2 and 34% for time group 3 respectively. China's mean of self-citation ratio increased from 11.7% in time group1, 22.8% for time group 2 and 40.7% for time group 3 respectively.   An ANOVA test was conducted for both Korea and China's self-citation ratio and the results are shown as Table 7 below. For both South Korea and China, the F-test and following p-value (0.000 and 0.000 for Korea and China, respectively) show that there are statistically significant differences in both Korea's and China's self-citation ratio in terms of time groups, as presented in Table 7. To compare the self-citation ratios among different countries, Japan and the US were added again in Figure 5. It is seen that both Korea and China's self-citation increased during the 15 years and reached Japan's 1998's self-citation ratio (37.8%).  An ANOVA test was conducted for both Korea and China's self-citation ratio and the results are shown as Table 7 below. For both South Korea and China, the F-test and following p-value (0.000 and 0.000 for Korea and China, respectively) show that there are statistically significant differences in both Korea's and China's self-citation ratio in terms of time groups, as presented in Table 7. To compare the self-citation ratios among different countries, Japan and the US were added again in Figure 5. It is seen that both Korea and China's self-citation increased during the 15 years and reached Japan's 1998's self-citation ratio (37.8%). To see whether the two countries' self-citation ratio present converging patterns, a pairwise ttest was conducted. The results are shown in Table 8 below. The test found no statistically significant difference (p-value: 0.124) in Korea's and China's self-citation ratio in terms of means at alpha = 0.05 level. Therefore, both countries show converging patterns in terms of self-citation ratio. It is also noticeable that mean differences between Korea and Japan, Korea and the US, and China and Japan are statistically significant and do not show converging patterns.

Statistical Analysis of Basic Research Expenditure and GDEB at Country Level
For analyzing the last dimensions, basic research activities, Appendix E shows the statistics of basic research expenditures (unit: thousands, purchasing price parity by dollars) and gross domestic expenditure on basic research as percentages (GDEB) of four countries. To compare the basic expenditures and gross domestic expenditures on basic research among the different countries, Japan and the US were added again. It was seen that both Korea and China's basic research expenditure and gross domestic expenditure on basic research percentage showed increasing patterns through the time groups.
It is also noticeable that China's basic research expenditure exceeded that of Korea from 2009 in absolute terms. However, in terms of gross domestic expenditure percentage on basic research, China has not reached Korea's lowest level (0.3% in 1998) yet. From Figure 6 below, it is seen that Korea and To see whether the two countries' self-citation ratio present converging patterns, a pairwise t-test was conducted. The results are shown in Table 8 below. The test found no statistically significant difference (p-value: 0.124) in Korea's and China's self-citation ratio in terms of means at alpha = 0.05 level. Therefore, both countries show converging patterns in terms of self-citation ratio. It is also noticeable that mean differences between Korea and Japan, Korea and the US, and China and Japan are statistically significant and do not show converging patterns.

Statistical Analysis of Basic Research Expenditure and GDEB at Country Level
For analyzing the last dimensions, basic research activities, Appendix E shows the statistics of basic research expenditures (unit: thousands, purchasing price parity by dollars) and gross domestic expenditure on basic research as percentages (GDEB) of four countries. To compare the basic expenditures and gross domestic expenditures on basic research among the different countries, Japan and the US were added again. It was seen that both Korea and China's basic research expenditure and gross domestic expenditure on basic research percentage showed increasing patterns through the time groups.
It is also noticeable that China's basic research expenditure exceeded that of Korea from 2009 in absolute terms. However, in terms of gross domestic expenditure percentage on basic research, China has not reached Korea's lowest level (0.3% in 1998) yet. From Figure 6 below, it is seen that Korea and China are catching up Japan's basic research expenditure in absolute terms. However, Figure 7  An ANOVA test of basic research expenditure and gross domestic expenditure on basic research was conducted for both Korea and China. From Tables 9 and 10 below, the F-test and following pvalue (0.000 and 0.000, respectively) show that there are statistically significant differences in both Korea's and China's basic research expenditure and gross domestic expenditure on basic research in terms of time groups.  An ANOVA test of basic research expenditure and gross domestic expenditure on basic research was conducted for both Korea and China. From Tables 9 and 10 below, the F-test and following pvalue (0.000 and 0.000, respectively) show that there are statistically significant differences in both Korea's and China's basic research expenditure and gross domestic expenditure on basic research in terms of time groups.  An ANOVA test of basic research expenditure and gross domestic expenditure on basic research was conducted for both Korea and China. From Tables 9 and 10 below, the F-test and following p-value (0.000 and 0.000, respectively) show that there are statistically significant differences in both Korea's and China's basic research expenditure and gross domestic expenditure on basic research in terms of time groups.  To see whether the four countries' gross domestic expenditure on basic research presented converging patterns, a pairwise t-test was conducted. The results are shown in Table 11 below. The test result show that the mean difference between Korea's GDEB and China's GDEB is statistically significant (p-Value: 0.000) at alpha = 0.05 level. Therefore, both countries do not show converging patterns in terms of gross domestic expenditure on basic research. It is also noticeable that the mean difference between Korea and US is not statistically significant (p-Value: 0.592). In Section 3, this study mentioned that researchers have not conduct pairwise t-test for basic research expenditure. This is because the absolute amount of the basic research expenditure will strongly depends on country's size (especially GDP and population) and country-to-country comparison may not be suitable.

Discussion of the Research
By testing three dimensions in two countries, this study examined the conformity and generality of the major discourse about catch-up and post catch-up transition empirically. Table 12 below summarizes the test results. First, the two countries presented different paths in terms of mean technology cycle time from 1998 to 2012. While Korea's TCT means showed increasing patterns during three time groups, China's TCT means decreased from time group1 to time group 2 and increased from time group 2 to time group 3. From a country with a short TCT, Korea has changed into a country with long TCT through the 2000s. China's case presented the transition from a catch-up stage with a short cycle time (from time group 1 to time group 2) to post catch-up stage (from time group2 to time group3) with long cycle time. These empirical findings from the research matched with arguments about TCT, distinguishing catch-up and post catch-up stages. However, this study found contradicting evidence from Lee's study [1] in explaining what actually drove increases in mean TCT in Korea and China. This study found no evidence to prove the predictions and arguments that longer TCT is due to increases in registered patents from industries with a long TCT, such as the bio industry and medicine industry in both Korea's and China's case. Instead, this study found that weights on electronics and ICT increased through time groups and their TCT got lengthened through the time groups for both Korea and China.
Korean scholars with a dominant post catch-up frame assert the necessity and importance of the increase in self-citation ratio and basic research to reach the post catch-up stage. This study found the two countries' concurrent and parallel patterns that support the argument for both self-citation ratio and basic research expenditures. However, it is noticeable that China's gross domestic expenditure on basic research has not even reached to Korea's lowest level and does not show a converging pattern.
Moreover, IPC composition shows path dependency and a deepening tendency after both countries get into post catch-up. Capital-intensive industry such as semiconductor sector remained first in IPC composition in Korea and in the top three in China. Growth from other types of post catch-up types such as the architecture innovation type or the third type of post catch-up (commercializing original technologies or basic research result, e.g., biotechnologies or the pharmaceutical sector) can coexist within a dominant deepening path dependency. However, empirics from research do not support or reveal growth (number of patent granted) of such types.
These research results suggest that getting into a short cycle time sector is beneficiary for developing countries in early stages. Developing nations may exert their efforts to increase knowledge localization and build their technology capabilities by conducting basic research. However, direct application or duplicating deepening tendency led by conglomerates or large firms from South Korea and China to other developing countries may be challenging and also unrealistic in many cases. More empirical evidence from various post catch-up innovation activities must be verified to draw a balanced and generalized development strategy.
This study has certain methodological limitations. Using patent data to analyze technology cycle time and self-citation ratio has limitations. It is obvious that patents do not cover all innovation activities of firms. Many studies including this one only treat the quantitative dimensions of patents, and do not handle qualitative dimensions and tacit dimensions of the innovation activities. Moreover, catch-up and post catch-up literature including this study, have not suggested the appropriate degree (or quantity) of TCT, self-citation ratio and basic research expenditure for developing countries at each stage. The three dimensions and corresponding variables were compared in terms of direction (increasing or decreasing; converging or diverging) and not in terms of a certain quantity in this research. Since this study takes inductive position and only considered two countries, generalization must be followed to verify whether commonalities and conformities of Korea and China can be reproduced in further studies.
Acknowledging the obvious limitation stated above, this study suggests following further research.
• A study that discovers the dynamic natures between the three dimensions of the research and other social factors • A study that links sectoral innovation system dynamics with national landscape's change during catch-up to post catch-up transition • A study that illuminates the conflict and politics involved in the process of transition from catch-up to post catch-up transition

Conclusions
East Asian countries such as Korea, Taiwan and now China have paved their own ways but share many commonalities. A reflexive study of understanding transition from catch-up to post catch-up was conducted with the technology cycle time, self-citation ratio at country level, and basic research expenditure (absolute term and GDEB %) for Korea and China.
From developing nation's points of view, focusing and entering the short cycle time sector (transitioning to long cycle sector in post catch-up stage later) may be the first priority. After entering the short cycle time sector, developing nations may make efforts to increase the degree of knowledge localization and conduct basic research. Though each developing country has different technological capabilities and faces particular socio-economic conditions, policy-makers of developing countries need learn from South Korea's and China's transition from catch-up to post catch-up cases, and make their own paths ultimately.