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The role of knowledge variety and intensity for regional innovation

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Abstract

This paper analyses the effect of variety and intensity of knowledge on the innovation of regions. Employing data for Swedish functional regions, the paper tests the role of the variety (related and unrelated) and intensity of (1) internal knowledge generated within the region and also (2) external knowledge networks flowing into the region in explaining regional innovation, as measured by patent applications. The empirical analysis provides robust evidence that both the variety and intensity of internal and external knowledge matter for regions’ innovation. When it comes to variety, related variety of knowledge plays a superior role.

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Notes

  1. In this paper, “knowledge” refers to all three types of knowledge classified by Karlsson and Johansson (2006): scientific knowledge, technological knowledge, and entrepreneurial knowledge. Scientific knowledge has the character of a pure public good, although it is generally only available to those with the relevant scientific training. Technological and entrepreneurial knowledge are non-rivalrous and partially excludable goods, where the latter is often the result of learning-by-doing. All three types are argued to be patentable and there is indeed evidence on increasing propensity to patent all three types. Since the phenomenon under investigation in this paper is actually patent application, it seems plausible to include all of them as the conceptualization of knowledge.

  2. One could ask even a further question: given the importance of knowledge variety (diversity), how to enhance it in the regions/cities (Audretsch and Belitski 2013)?

  3. There are previous studies showing the positive effect of the concept of related industries on regional innovation measures (Feldman 1994; Feldman and Audretsch 1999; Ejermo 2005). Yet, this paper employs the entropy measure, which turns out to be an attractive measure, since it distinguishes between related and unrelated variety.

  4. One way to enhance the variety (heterogeneity) of knowledge in the region/city is recently suggested to be the existence of creative class and ethnical diversity, which may enhance knowledge spillover and entrepreneurial opportunity in the region (Audretsch and Belitski 2013).

  5. This has been recognized as one of the stylized fact in the geography of innovation (Feldman and Kogler 2010).

  6. It is preferable to use the EPO data rather than data from Swedish Patent Office, since in recent years the number of Swedish patent applications in EPO is increasing relative to Swedish Patent Office. Hence, it is assumed that EPO data can provide richer dataset in the study period of this paper.

  7. The unit of analysis in RKPF has been either region-technology (Jaffe 1989; Feldman and Florida 1994; Ponds et al. 2010) or region (ACS et al. 2002; Ejermo 2005; Fritsch and Slavtchev 2007). This paper chooses the later alternative, while controlling for industry heterogeneity across regions.

  8. It is worthy to note that, however, the patent data is a non-integer data, since the patent data is fractionalized (based on the number of inventors belonging to different functional regions). This could violate the usage of negative binomial regression, since this technique is designed for count data (integer data). To avoid this possible violence, the rounded value of fractionalized patent data is used in the regression. There are two groups of data that are in the risk of being under/overvalued after rounding: (1) the observations with the patent value between 0 and 0.5 and (2) with the value between 0.5 and 1. Nonetheless, the numbers of observation in former group is only ten and in the latter one is only eleven. More importantly, the result of binomial regression before and after rounding is quite similar.

  9. The mean value for patent application is 24 and the variance is 6,560.

  10. Since the mean and variance are not equal, therefore the equidispersion assumption is violated, which implies that the estimations based on Poisson and Zero-inflated Poisson models are not the preferred options.

  11. Even if there would be many zero value in the data, it does not necessarily mean that zero-inflated models can be the best option (Cameron and Trivedi 2008, p. 605), since it must be possible to distinguish between ‘true zeros’ and ‘excess zeros’ in order to be reasonable to use zero-inflated models. The mechanism for distinguishing these two types of zero is not clear in the patent application data, hence the use of zero-inflated models seems to be implausible. An example of the a situation where it is possible to distinguish between true zeros and excess zero is when a researcher wants to explain the amount of cigarettes smoked per day, while s/he has a survey containing both smokers (can cause true zeros) and non-smokers (causing excess zeros) (Cameron and Trivedi 2008, p. 584).

  12. Here ‘random effects’ apply to the distribution of the over-dispersion parameter (alpha), which is the same for all observations in the same group (here functional region) but varies randomly from group to group.

  13. Acs et al. (2002) compared the number of new products and patents across US regions and conclude; “the empirical evidence suggests that patents provide a fairly reliable measure of innovative activity” (p. 1080).

  14. It must be acknowledge that the use of patents as indicators for innovation is not undisputed. It is argued that not all patents are innovations and not all innovations are patented (Griliches 1990).

  15. The R&D investment refers to corporate R&D investment. In Swedish case it is documented that the corporate R&D (not university R&D) is the one that has the significant impact on innovation of the regions (Gråsjö 2006). Gråsjö (2006) used patent application as the measure of innovation of Swedish regions. He found significant impact of corporate R&D (but not university R&D) on innovation. The lack of significant impact of university R&D has been also found in explaining the Swedish export (Gråsjö 2006) as well as Swedish firm formation (Karlsson and Nyström 2011).

  16. In addition to Unrelated Variety, this paper initially considered the measured of the pure variety, which is a disentangled measure of variety in five-digit sectors within the regions (Boschma et al. 2012). Substituting the unrelated variety with pure variety measures reveals very similar results.

  17. High-Tech manufacturing sector is defined based on OECD classifications. It consists of following NACE codes: 2433, 30, 32, 33 and 353. Similar classification is used in other patent studies, for instance in Andersson and Lööf (2011).

  18. The value of LQ_HT is normalized by \({\text{LQ}}\_{\text{HT}} ^{\text{norm}} = \left( {{\text{LQ}}_{\text{HT}} - 1} \right)/\left( {{\text{LQ}}_{\text{HT}} + 1} \right)\). \(LQ\_HT ^{norm}\) is systematically distributed between −1 and +1 (Fritsch and Slavtchev 2007; Paci and Usai 1999). The same normalization is done for LQ_MAN.

  19. It should be acknowledge that one year may not be the best lagging option, as other studies uses 2 or 3 years lag (Fritsch and Slavtchev 2007; Ponds et al. 2010), although there are indeed one-year-lag studies, too (Crescenzi et al. 2012). However, the sample would have been substantially small if the lag was increased.

  20. The VIF test is performed after the conventional OLS regressions. There is no formal threshold for variance inflation factor test, but as a rule of thumb the VIF score below 10 (or sometimes 5) is said to be the evidence of quite mild multicollinearity.

  21. Using the Location Quotient instead of absolute number of High-Tech large manufacturing firms revealed the same result.

  22. LR test of restricted versus unrestricted models is not reported in Table 2 and is available upon request.

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Acknowledgments

The authors are thankful to Olof Ejermo who provides the patent data. Valuable comments by Koen Frenken, Martin Andersson, Charlie Karlsson, Maryann Feldman, Viroj Jienwatcharamongkhol, three anonymous referees, and journal editor are greatly appreciated. This project is performed in collaboration with Centre for Innovation, Research and Competence in the Learning Economy (CIRCLE), Lund University.

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Correspondence to Sam Tavassoli.

Appendices

Appendix 1

See Fig. 2.

Fig. 2
figure 2

Map of Sweden divided to 81 functional regions (local labour market). Source: NUTEK (2005)

Appendix 2

See Table 3.

Table 3 Variable definitions and measures

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Tavassoli, S., Carbonara, N. The role of knowledge variety and intensity for regional innovation. Small Bus Econ 43, 493–509 (2014). https://doi.org/10.1007/s11187-014-9547-7

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