1 Introduction

Interest in the effects of business agglomerations on firm innovation has grown rapidly in recent years (Carlino & Kerr, 2015) as innovation activities tend to be geographically clustered (Feldman & Kogler, 2010). The advantages for innovative firms to be co-located are related to Marshallian externalities, driven by specialisation, and to Jacobs externalities, driven by diversification (see, for instance, Beaudry & Schiffauerova, 2009). Science and technology parks (STPs) are a special type of agglomeration. In particular, STPsFootnote 1 are non-spontaneous clusters, often the result of political decisions, aimed at promoting the creation and growth of knowledge and technology-based firms with a management team that pursues the objectives of the park.

STPs are a widespread innovation policy tool that can play a central role in shaping and developing the entrepreneurial ecosystem (Germain et al., 2022). The interest in this type of cluster has grown steadily in both developing (Rodríguez-Pose & Hardy, 2014) and developed countries (Hobbs et al., 2017). There are more than 360 STPs in Europe (Rowe, 2014) and over 300 in North America (Battelle Technology Partnership Practice, 2013).

Public investment involved in the creation and development of STPs also reflects the importance of STPs in science, technology, and innovation policies, with an estimated 85% of STPs in the EU publicly funded between 2000 and 2012 with around €4.8 billion (Rowe, 2014). STPs are considered important vehicles of innovation policies in many countries, such as Spain (Vásquez-Urriago et al., 2014), where the Science, Technology and Innovation Law of the government states thatFootnote 2 “[…STPs are] strategic places for the transfer of research results to the productive sectors”.

The academic literature on STPs has paid particular attention to the assessment of on-park effects on the innovation performance of firms. Among the several indicators used to estimate the effect, patent count is one of the most common.

Patents are an indicator of the inventiveness of firms, which is considered a precursor of innovation (Roberts, 1988). One of the key advantages of using patent statistics is their availability, together with the richness of information they provide and their accessibility (Higham et al., 2021; van Zeebroeck & van Pottelsberghe de la Pottebrie, 2011b). Despite their well-known limitations (Griliches, 1990; Griliches et al., 1987), patent counts are commonly used as an indicator of innovation in economic studies. Nonetheless, measuring the innovativeness of companies based only on patent count disregards the highly skewed nature of their value distribution (Archibugi, 1992; Cohen & Levin, 1989; Griliches, 1990). Survey data show that there are only a small number of highly valuable patents and a large number of patents with little value. Scherer and Harhoff (2000) showed that about 10% of patents account for more than 80% of the value of all the patents, based on a survey of German patents. This conclusion was supported by other authors, such as Gambardella et al. (2008) on their European survey (PatVal-EU). The increasing number of patent applications (Kortum & Lerner, 1999; van Zeebroeck et al., 2009) and new patenting strategies (Guellec & van Pottelsberghe de la Potterie, 2007; Guellec et al., 2012) exacerbate this issue.

The importance of taking into consideration the heterogeneity of innovations has been pointed out in a recent study (Higham et al., 2021). Patent quality is a multidimensional concept which encompasses diverse dimensions of patents such as technological importance and economic value. Using patent quality allows us to take into account the heterogeneity of patents, which may be one of the reasons why studies on STPs using patent count as an indicator of tenants’ innovation performance have led to contrasting evidence, with some showing positive effects of STPs on the number of patent applications (e.g. Hu, 2008; Squicciarini, 2008) and others showing no effect (e.g. Chan et al., 2010; Lindelöf & Löfsten, 2002a; Squicciarini, 2009). In fact, this idea is supported by Ünlü et al. (2022) in their study suggested that patent count might not be the adequate indicator to estimate STP performance. Considering patent count or patent quality as dependent variables may lead to different results as argued by Dang and Motohashi (2015).

To deepen our understanding of the effects of STPs on the innovation performance of tenants, we use patent quality to estimate the effect of STPs on firm innovation performance, considering that it measures the relevance of the inventive activity of companies better than patent count (Dang & Motohashi, 2015). We estimate patent quality using forward citations as a proxy for the technological importance of patents and renewals as a proxy of their economic value. To our knowledge, patent quality has not been used in previous studies of the effect of STPs on tenants' innovation performance.

On a methodological level, we use the patent as the unit of analysis and control for a rich set of patent and firm characteristics. We rely on the ‘ignorability assumption’ (that is, STP location is not driven by unobserved firm characteristics that also affect patent quality) to identify the STP effect. Nonetheless, to alleviate the concern that our estimates may suffer from omitted variable bias, we apply a novel econometric technique (Cinelli & Hazlett, 2020) to show that our results are robust to strong unobservable confounders. In addition, we perform a set of robustness checks to ensure that our estimates of the STP effect on patent quality are actually conservative.

Finally, we also explore the possible channels through which STPs can influence the quality of tenants’ patents. Former scholars have discussed the role of STPs as a booster of cooperation, finding that being located in an STP enhances the likelihood of cooperating for innovation (Vásquez-Urriago et al., 2016), especially with universities (Colombo & Delmastro, 2002; Díez-Vial & Fernández-Olmos, 2015). Furthermore, the role of STPs as a facilitator to foster internationalisation of tenants has been pointed out by the International Association of Science Parks (IASP). Accordingly, we consider three possible channels through which STPs affect the quality of patents obtained by tenants: collaboration to achieve the invention, cooperation with universities and internationalisation.

The remainder of the paper is organised as follows: Sect. 2 presents a review of the literature and describes our analytical framework; Sect. 3 presents the data and methodology and describes the variables used; Sect. 4 presents the empirical results and robustness checks; Sect. 5 reports the results related to the STP channels explored; and Sect. 6 concludes, suggesting implications of the study and lines for further research.

2 Literature review

In this section, first, we review the literature on STPs, focusing on the effects they have on the innovation performance of their tenants. Second, we provide an overview of the concept of patent quality, explain how we measure it and provide a general description of the most used indicators in patent literature.

2.1 Science and technology parks and their effect on the innovation performance of tenants

The literature on STPs is rich and continues to grow, keeping pace with the growth of STPs worldwide (Hobbs et al., 2017), especially with regard to the effects of STPs on their tenants (for a review, see Albahari et al., 2022). The effect of STPs on tenants is a question of great interest to policy makers given the large amount of public funds invested. The literature on STPs is concerned mainly with estimating the impact on several dimensions of firms’ results, such as their economic performance, their relationship with other entities and innovation performance (Lecluyse et al., 2019).

STPs are seen as tools to create certain conditions to facilitate innovation, acting as intermediary organisations (Siegel et al., 2003) or as a link between industry and science through the relation between tenant firms and academic researchers (Colombo & Delmastro, 2002; Fukugawa, 2006). The development and management of connections between diverse entities and the transfer of knowledge amongst them is another expected feature of STPs (Löfsten & Lindelöf, 2002; Squicciarini, 2008).

Even though a positive effect of STPs on the innovation performance of firms located within their boundaries may be expected (Lecluyse et al., 2019), and in spite of the attention paid to STPs by policy makers, scholars find varying results with respect to the effects of STPs. These inconclusive results are found in all the dimensions explored in the literature related to the influence of STPs on economic, cooperative and innovative aspects.

Several studies use patenting activity to estimate the innovation performance of tenants as shown in Table 1. We observe that previous studies use patent count as an indicator. Some of them find no significant effect on firms (Chan et al., 2010; Liberati et al., 2016; Lindelöf & Löfsten, 2002b, 2003; Squicciarini, 2009; Westhead, 1997), while others show that STPs have a positive impact on the number of patents obtained by tenants (Corrocher et al., 2019; Huang et al., 2012; Lamperti et al., 2017; Siegel et al., 2003; Squicciarini, 2008; Yang et al., 2009).

Table 1 Studies on the effect of STPs on the patenting activity of tenants

2.2 Patent quality

The notion of patent quality has a broad and multidimensional nature which encompasses diverse concepts such as economic value and technological importance (Higham et al., 2021; Nagaoka et al., 2010; Squicciarini et al., 2013) and depends on the viewpoint of the analysis (Guerrini, 2014). A patent may be valuable from an economic perspective, but its technological importance may not show the same trend and vice versa. As such, using diverse indicators to estimate patent quality makes sense as it allows us to consider the different dimensions of patent quality (Higham et al., 2021) and obtain more accurate results.

Earlier studies referred to patent quality by considering the technological importance and economic value of patented inventions and also their possible impact on subsequent innovations (van Zeebroeck, 2011; van Zeebroeck & van Pottelsberghe de la Potterie, 2011b; Squicciarini et al., 2013; Higham et al., 2021).

Forward citations are perhaps the most widespread indicator among scholars as they are closely related to technological importance (Carpenter et al., 1981; Griliches, 1990; Trajtenberg, 1990; Albert et al., 1991; Harhoff et al., 2003; Sapsalis & van Pottelsberghe de la Potterie, 2007). This is because we may interpret a patent with many citations as having a greater impact on the technology fields in which it is developed. Because of its availability and informative richness, this indicator is firmly rooted in the literature.

Patent renewal is another commonly used indicator in turn related to the economic value of the patent (Bessen, 2008; Pakes & Schankerman, 1984). The fact that a patent is active for more years suggests that its patent holder expects a higher return than the money invested in keeping it alive (Pakes & Schankerman, 1984). Griliches et al. (1987) showed that patent renewal is positively related to the economic value of the patent. Patent renewals may be understood as a private economic value indicator (Pakes & Schankerman, 1984; Squicciarini et al., 2013), i.e. they reflect the economic value of the patent for their owner (Lanjouw et al., 1998).Footnote 3

3 Empirical specification and data

In this section, we first present the main characteristics of the dataset used and, subsequently, introduce the empirical specification used in the estimations.

3.1 Data

We build a database including information on all EPO patent applications filed by Spanish firms between 2004 and 2012, which amounts to 6,885 company patents for which we can retrieve firms’ and patent quality information, 1,102 (16.0%) of which are from companies located in an STP.Footnote 4 The sample is limited to patents with an application date between 2004 and 2012 to allow a 7-year time window for properly observing the forward citations indicator.

The database has been built from different sources, as specified in what follows.

First, the January 2020 version of the REGPAT database from the OECD (Organisation for Economic Co-operation and Development) is the main source of patent information for our dataset as it provides information on patents since 1977 (priority date). The information contained in REGPAT, including the full addresses of applicants and inventors of patents, allows us to geographically locate the patents (Maraut et al., 2008) based on a methodology described below. REGPAT contains information on patent applications from the EPO (European Patent Office).

Second, the July 2021 version of the OECD Patent Quality Indicators Database provides several indicators related to the importance and value of EPO patents.

Third, the Iberian Balance Sheet Analysis System (SABI) database, a product of Bureau Van Dijk, accessed in August 2020, gives information on the balance sheets and other financial information on more than 2.7 million Spanish companies. The database provides historical information on the accounts of each company since 1990 and allows searches by company name and fiscal ID.

Fourth, the annual APTE directories of companies from 2004 to 2012 provide information on the firms located in the STPs of the APTE. They allow us to identify whether a patent applicant is located in an STP based on the methodology described below. The 2012 annual directoryFootnote 5 of the APTE (Association of Science and Technology Parks in Spain) shows that 47 STPs belonged to the association (Fig. 1) and hosted more than 6,200 firms with almost 144,000 employees, 29,000 of whom were involved in R&D activities (APTE, 2013).

Fig. 1
figure 1

STPs included in the sample

Bearing in mind that our unit of analysis is the patent, our database includes information related to the patent application (year of application, number of applicants, technological field of the patent), the company applicant (identification, applicant’s address, postal code, province in which the applicant’s address is located), the characteristics of the company (number of employees in the year of application, sales of the company in the year of application, age of the company in the year of application) and, finally, the patent quality indicators used as a proxy to estimate the innovation performance of tenants (forward citations and renewals).

3.2 Variables and descriptive statistics

3.2.1 Dependent variables

We use two quantitative indicators (in logsFootnote 6) of patent quality, namely, forward citations (lfwd_cits7) and patent renewal (lrenewal), as our dependent variables (Table 2).

Table 2 Description of variables

First, forward citations are citations received by a patent application from subsequently filed patents. We use forward citations made within seven years after the publication of the cited patent to provide enough time for a patent to be cited, given the existence of different citation patterns across fields, and given that most of the citations received by a patent are made within its first seven years (Squicciarini et al., 2013).Footnote 7

Second, patent renewals refer to the number of years a patent is kept in force. It should be noted that European Patent Office patents must be renewed annually starting from the third year after filing, first at the EPO while pending and, once granted, at all the national patent offices of member states of the European Patent Organisation, where the patent is validated. The renewal fee increases until the tenth year, after which it remains constant.

3.2.2 Independent variable

We build a dummy variable (Patpark) that takes the value 1 if the patent is generated in an STP and 0 otherwise. We determine whether a firm belongs to an STP based on the annual directories of companies maintained by the APTE. The criteria for defining a patent as on-park or off-park relies on a comparison of the addresses of APTE firms with the addresses of the applicants and inventors of that patent.

There are two pieces of information that can be used to classify a patent as on-park or off-park: the address of the applicant (the firm) and the address of the inventors.Footnote 8 In order to determine whether a patent application may be defined as either an on-park or an off-park patent, we use both applicant and inventor addresses (see Fig. 2, Appendix 4).

First, if the address of at least one of the applicants is on-park and the address of at least one of the inventorsFootnote 9 is on-park or nearby, i.e. located in the same region as the applicant, the patent is considered on-park (899 patent applications).

Second, if the address of at least one of the applicants is on-park but no inventor has an address in the STP’s region, the patent is considered an off-park patent despite having at least one on-park applicant. This is because the headquarters of a company may be located on-park and may be in charge of the administrative tasks related to patent filing, but if the research team that generated that patent is located off-park, the patent would be considered off-park according to our definitionFootnote 10 (14 patent applications).

Third, if none of the addresses of the applicants belong to an STP but at least one address of the inventors belongs to a STP, the patent would be considered on-park. This is done to take into account cases in which a patent is generated on-park but the company files it from an off-park office (154 patent applications).

Fourth, if none of the addresses of the applicants belong to any STP and none of the inventors’ addresses are on-park, the patent would be considered off-park except in one situation: if the applicant has their headquarters located in an STP in the same province reported in the patent application. If so, the patent is considered on-park. This would correspond to a case where a company has offices in the same province on- and off-park, and even though the patent is filed from the off-park office, it is very likely that the STP played a role in achieving the patent (61 patent applications).

3.2.3 Control variables

The role of control variables is key for estimating the STP effect on tenants’ innovation performance (Table 2).

We include the age of the firm in logs (lfirm_age), firm size using two variables as proxiesFootnote 11 (in logs) (lfirm_emp, lfirm_sales) and dummies for each industrial sector (NACE_code) and for each technology field (tech_field). Table 3 shows the different distributions on these characteristics between on-park and off-park patents.

Table 3 Number of on-park patents and off-park patents and descriptive statistics of patent quality indicators by firm characteristics

Regarding firm age, Table 3 shows that on-park patents tend to be filed by younger firms than off-park patents: 71.6% of on-park patents are from firms less than 15 years old compared to only 35.4% of off-park patents. Previous studies have found that the older the applicant, the lower the patent quality (Balasubramanian & Lee, 2008). We control for firm age in our models to avoid this potential source of bias.

As regards the number of employees, following the EU recommendation 2003/361, we break down the sample into four subgroups: micro-firms (0–9 employees), small firms (10–49), medium-sized firms (50–249) and large firms (over 250). As shown in Table 3, on-park patents are relatively more concentrated in large firms than off-park patents (51.0% vs. 35.4%) and less concentrated in medium-sized firms (15.4% vs. 27.5%). If we look at the distribution of the sample according to the sales of the applicant companies, we again observe that on-park patents are relatively more concentrated in the largest firms (sales > 50 million euros) as these firms account for 53.0% of on-park patents and only for 41% of off-park patents.

In addition, firm size is also likely to affect patent quality, although the direction of the influence is not clear (Gambardella et al., 2008; Lanjouw & Schankerman, 1997). On the one hand, larger firms may generate higher-quality innovation because of greater capability to bear fixed costs and funds for innovations activities and to access a higher-skilled workforce (Rogers, 2004). On the other hand, they may also show a less demanding selective criterion when applying for a patent (van Zeebroeck & van Pottelsberghe de la Potterie, 2011a) or greater flexibility to recognise opportunities of innovating (Rogers, 2004). As a result, firm size is a potential confounding factor when estimating the effect of STP location on patent quality, so we will control for it in our models.

Patent quality is also affected by differences across technological fields or sectors.Footnote 12 On the one hand, there are sectors whose patents have a higher propensity to be cited (van Zeebroeck & van Pottelsberghe de la Potterie, 2011b) and sectors with higher profitability, such as the pharmaceutical sector, where patents may be kept in force for longer as potential profits may outweigh the cost of renewal fees (van Zeebroeck, 2011). On the other hand, patents that belong to more general technological fields may receive a higher number of citations because of their influence on a wider range of patents (Youtie et al., 2008). Furthermore, the economic value of patents varies across technological fields (Schankerman, 1998).

Finally, we control for the province (location of the patent applicant, NUTS3 level) and time fixed effects (filing year of the patent).

A correlation matrix is shown in Appendix 1.

3.3 Empirical specification

To measure the effect of STPs on tenants’ innovation performance, we estimate the following equation:

$$PatentQualityIndicator= \alpha +\beta Patpark+\gamma FirmControls+\delta PatentControls+\varepsilon$$
(1)

where PatentQualityIndicator is the dependent variable and Patpark is a dummy variable which equals 1 if the patent was generated in an STP. This is the main explanatory variable, whose effect we want to measure. We have two different sets of control variables: FirmControls, which includes firm_age, firm_emp, firm_sales and NACE_code, and PatentControls, which includes reg_code, tech_field and app_year; ε is the error term.

First, we estimate the effect using ordinary least squares (OLS) for both forward citations and renewals. Second, as these are count variables, we use a Poisson model to estimate the STP effect.

Both models rely on the ‘ignorability assumption’ (that is, STP location is not driven by unobserved firm characteristics that also affect patent quality). After introducing our set of firm and patent controls, we believe that the main potential confounding factor is firms’ R&D investment. Unfortunately, we do not have information about it, because this information is not publicly available.Footnote 13 To analyse the amount of bias that we could expect by omitting a firm’s R&D investment, we conduct two analyses based on Cinelli and Hazlett (2020) (see Sect. 4.2).

4 Results

4.1 Main results

Table 4 presents the main results from our baseline regressions. Columns (1) and (3) show results from the OLS model, whereas Columns (2) and (4) show Poisson results.

Table 4 Effect of STPs on patent quality indicators

First, as shown in Columns (1) and (2), we find a positive relationship between location in an STP and the number of forward citations. Being located in an STP produces an increase of around 27% (Column 1) in the number of citations received according to the OLS estimation, and around 21% according to the Poisson regression model.Footnote 14

Second, Columns (3) and (4) show a similar result for patent renewals; i.e. patent applications generated on-park remain in force for a longer period of time. In this case, being located in an STP is related to an increase around 7% in the number of years in which the patent application remains in effect.

These results on two of the main indicators of patent quality show that patents generated on-park are of a higher quality than patents generated off-park.Footnote 15

This finding is in line with several studies which use patent count as a proxy and find evidence of a positive STP effect on the innovation performance of their tenants (Corrocher et al., 2019; Huang et al., 2012; Lamperti et al., 2017; Siegel et al., 2003; Squicciarini, 2008).

4.2 Sensitivity analysis

Previous results rely on a strong identification assumption that STP location is not driven by unobserved factors that also affect patent quality.

More precisely, we are concerned with the sensibility of our results to the inclusion of firms’ R&D investment. If more R&D-intensive firms are more likely to locate in STPs (conditional on patenting and on the other firm characteristics we control for) and also achieve patents of better quality, then it could be that our estimated STP effect is capturing this R&D effect. In this section, we want to analyse the degree of sensibility of the previous results to the existence of this (and any other unobserved) factor that may influence both STP location and patent quality.

Cinelli and Hazlett (2020) provide the formula for the relative biasFootnote 16:

$$\left|\frac{\widehat{bias}}{{\widehat{\beta }}_{res}}\right|=\frac{\left|{R}_{Y\sim W|D,X}{*f}_{D\sim W|X}\right|}{\left|{f}_{Y\sim D|X}\right|}$$

where:

\(\left|\frac{\widehat{bias}}{{\widehat{\beta }}_{res}}\right|\) is the relative bias of the estimated STP effect (\({\widehat{\beta }}_{res}\) is the estimated coefficient from our restricted model),

\({R}_{Y\sim W|D,X}=\sqrt{\frac{{R}_{Y\sim D+X+W}^{2}-{R}_{Y\sim D+X}^{2}}{1-{R}_{D\sim X}^{2}}}\), that is, an indicator of the added explanatory power of R&D (W) on patent quality (Y) after accounting for Patpark(D) and the control variables (X),

\({f}_{D\sim W|X}=\sqrt{\frac{{R}_{D\sim W|X}^{2}}{1-{R}_{D\sim W|X}^{2}}}\) with \({R}_{D\sim W|X}^{2}=\sqrt{\frac{{R}_{D\sim X+W}^{2}-{R}_{D\sim X}^{2}}{1-{R}_{D\sim X}^{2}}}\), that is, an indicator of the added explanatory power of R&D (W) on Patpark(D) after accounting for the control variables (X), an added explanatory power that enters the bias equation via the partial Cohen’s f rather than via the partial R2,

\(\left|{f}_{Y\sim D|X}\right|=\sqrt{\frac{{R}_{Y\sim D|X}^{2}}{1-{R}_{Y\sim D|X}^{2}}}\) with \({R}_{Y\sim Y|X}^{2}=\sqrt{\frac{{R}_{Y\sim X+D}^{2}-{R}_{Y\sim X}^{2}}{1-{R}_{Y\sim X}^{2}}}\), that is, an indicator of the added explanatory power of Patpark(D) on patent quality (Y) after accounting for the control variables (X), an added explanatory power that enters the bias equation via the partial Cohen’s f rather than via the partial R2. Note that this last indicator can be estimated for our data and, actually,\(\left|{f}_{Y\sim D|X}\right|=\frac{{t}_{{\widehat{\beta }}_{res}}}{\sqrt{{df}_{res}}}\), where \({t}_{{\widehat{\beta }}_{res}}\) is the t-ratio for Patpark in our model and \({df}_{res}\) are the degrees of freedom in our model.

Departing from this formula, we could try to estimate the indicators \({R}_{Y\sim W|D,X}\) and \({f}_{D\sim W|X}\) from other datasets or from previous empirical studies. In addition, Cinelli and Hazlett (2020) provide a strategy for bounding the strength of the confounder (R&D) by using the information on some observed covariates. We will show the results following both of these two strategies.

4.2.1 Estimation of \({R}_{Y\sim W|D,X}\) and \({f}_{D\sim W|X}\)

We have reviewed the literature on patent quality to find empirical papers that provide an estimation of the effect of firm R&D, holding constant the set of control variables we are using. We have found three papers that address this issue. Liu et al. (2008) find that firm R&D intensity is non-significant in explaining patent renewal. Wadhwa et al. (2016) also find that firm R&D intensity is not significant in explaining patent citations once selection is taken into account. Unfortunately, these two papers do not provide OLS estimations, so we cannot use them to estimate \({R}_{Y\sim W|D,X}\) (they estimate count data models using maximum likelihood estimation). However, Balasubramanian and Lee (2008) provide an OLS estimation that includes the partial effect of firm R&D on patent citations. Thus, this study offers an estimation for \({R}_{Y\sim W|D,X}\), which would be equal to 0.0123.

\({f}_{D\sim W|X}\) is the added explanatory power of R&D on STP location once we control for the other firm characteristics. We can estimate this indicator by using PITEC, the Spanish innovation panel, which provides information from the Spanish Innovation Survey and the Spanish R&D Survey on a yearly basis. This dataset includes detailed information on innovation inputs and outputs for all firms that perform internal R&D in Spain, so it is a census of these firms for Spain. In addition, since 2007, it has included information on STP location. We estimate the added explanatory power of firms’ R&D intensity on patenting, controlling for firm employment, firm sales, firm age, firm sector, firm region and year dummies.Footnote 17 The value of \({f}_{D\sim W|X}\) according to this analysis is equal to 0.103.

Finally, according to the results from Column 1 in Table 4, \(\left|{f}_{Y\sim D|X}\right|\) can be computed and is equal to 0.045 for citations.

With these three indicators, we can compute the relative bias suffered in estimating the STP effects in Column 1, Table 5. This is equal to 2.83%, meaning that if we were able to include firm R&D, the coefficient would be equal to 0.090. That is, the bias caused by omitting firm R&D is estimated to be very small in magnitude, which is coherent with the non-significant effect of R&D intensity on patent citations found by Wadhwa et al. (2016).

Table 5 Results of analysis for citations

4.2.2 Bounding the strength of the confounder by using observed covariates

In this analysis, we use observed covariates to bound the strength of the confounder, following the procedure proposed by Cinelli and Hazlett (2020). More precisely, we use firm sales as the benchmark as firm sales are an important determinant of both patent quality and STP location.

To be able to conduct this analysis, we define.

\({k}_{D}=\frac{{R}_{D\sim W|{X}_{-j}}^{2}}{{R}_{D\sim {x}_{j}|{X}_{-j}}^{2}}\) and \({k}_{Y}=\frac{{R}_{Y\sim W|D,{X}_{-j}}^{2}}{{R}_{Y\sim {x}_{j}|{D,X}_{-j}}^{2}}\)

where:

\({R}_{D\sim W|{X}_{-j}}^{2}\) is the added explanatory power of R&D (via R2) on Patpark if firm_sales is excluded from the set of controls;

\({R}_{D\sim {x}_{j}|{X}_{-j}}^{2}\) is the added explanatory power of firm_sales (via R2) on Patpark, controlling for the rest of the covariates used in the analysis;

\({R}_{Y\sim W|D,{X}_{-j}}^{2}\) is the added explanatory power of R&D (via R2) on patent quality if firm_sales is excluded from the set of controls; and.

\({R}_{Y\sim {x}_{j}|{D,X}_{-j}}^{2}\) is the added explanatory power of firm_sales (via R2) on patent quality, controlling for the rest of the covariates used in the analysis.

Given \({k}_{D}\) and \({k}_{Y}\), we can rewrite the strength of the confounders as:

$${R}_{D\sim W|X}^{2}{=k}_{D}{f}_{D\sim {x}_{j}|{X}_{-j}}^{2}$$
$${R}_{Y\sim W|D,X}^{2} \le {\eta }^{2}{f}_{Y\sim {x}_{j}|{D,X}_{-j}}^{2}$$

where \(\eta\) is a scalar that depends on \({k}_{D}\), \({k}_{Y}\) and \({R}_{D\sim {x}_{j}|{X}_{-j}}^{2}\). These equations enable us to investigate the maximum effect that a confounder at most ‘k times’ as strong as firm_sales would have on the coefficient estimate for Patpark.

The results for such an analysis in the case of citations are reported in Table 5.

If firm R&D were a confounder as strong as firm sales, the coefficient would be 0.0894. That is, the bias would be 3.55%, a bit higher than the one found using the first strategy, which suggests that R&D is a confounder that is a bit less strong than sales.

The robustness of the results to the confounder is clear from the other rows in the table. Even if firms’ R&D (or any other confounder, or all of them together) were two or three times stronger than firm sales, the coefficient of STP location on patent citations would still be over 0.08 and very significant from a statistical point of view.

One advantage of this strategy is that it also allows us to examine the effect of confounding on the estimation of the economic value of the patent. If we conduct the same analysis for renewals, we find (Table 6) that if firm R&D were a confounder as strong as firm sales, the coefficient would be 0.0643 (that is, the bias would be only 2.19%).

Table 6 Results of analysis for patent renewal

Again, the robustness of these results to the confounder is clear from the other rows in the table. Even if firms’ R&D (or any other confounder, or all of them together) were two or three times stronger than firm sales, the effects of STP location on patent renewals would still be above 0.036 and very significant from a statistical point of view.

All in all, these analyses show that the effects found are robust to the presence of potential confounders, such as firms’ R&D investment. In what follows, we conduct some additional robustness checks.

4.3 Robustness checks

Just as we addressed the possibility of being able to overestimate the effect of STPs because of the lack of data on firm R&D expenditure, in order to show the reliability and consistency of the STP effect found, we conduct two additional robustness checks on alternative patent quality indicators.

4.3.1 Forward citations

We used the version of the OECD Patent Quality Indicators database from June 2021 and consider patents filed until 2012, so we would expect to observe all the citations received in the first seven years of all the patents included in the sample. However, we have reasons to think that this may not be the case when comparing the January 2020 version of the same database. In Appendix 5, we can see that the average number of 7-year citations for each cohort increases in the latter version of the dataset. This is especially important for applications in 2011 (10% increase) and 2012 (30.7% increase), which suggests that the citations indicator is updated with some lag and, accordingly, our indicator suffers from measurement error which may lead to underestimation of the STP effect.

In Table 7, we explore this issue by conducting a robustness check using only the older cohorts of patents. As expected, we find that the STP effect increases considerably (up to a 39.8% increase if only applications until 2009 are includedFootnote 18), which suggests that our main analysis is a conservative estimation of the STP effect.

Table 7 STP effect on forward citations by time period included in the sample

4.3.2 Renewals

The maximum renewal period is 20 years. However, the maximum period we observe (for the first cohort of applications) is only 16 years. If most of the applications are renewed several times, it would mean that the differences in economic value are revealed only after many renewals. Again, this could be a source of measurement error which leads to underestimation in our results. In Table 8, we explore this issue by conducting a robustness check using only the older cohorts of patents. As we expected, we find that the STP effect increases considerably when only the older cohorts of patents are used (up to a 54.6% increase if only applications until 2008 are included), which suggests that our main analysis is again a conservative estimation of the STP effect.

Table 8 STP effect on renewal by time period included in the sample

5 Channels through which the effect takes place

The second part of our work aims to identify the channels through which STPs affect the quality of patents. It should be noted that one of the objectives of STPs is to facilitate a network that brings together different agents with the aim of promoting the internationalisation of their tenants, facilitating communication between companies, entrepreneurs and technicians. STPs aim to create environments that foster innovative, creative and quality development, stimulating and managing the relationship between universities and companies (IASP, 2021).

Economic geography theory shows that geographical proximity fosters the development of links between different organisations (Baptista & Swann, 1998; Hervas-Oliver & Albors-Garrigos, 2009). Agglomeration facilitates contacts between different agents (Gilly & Torre, 2000), reduces search costs (Feldman, 1999) and increases the probability of actively searching for innovative partners (MacPherson, 1997), creating more stable and long-lasting relationships (Love & Roper, 2001). For their own idiosyncrasy, STPs provide such geographical proximity, thereby facilitating collaboration between tenants. Ng et al. (2020) point out that proximity with other firms is a relevant factor for firms located in STPs. Additionally, STPs facilitate other types of proximity, such as cognitive, organizational, social and institutional proximity (Albahari, 2021). Furthermore, fostering collaboration between companies and other entities is a specific objective of STPs, and there is empirical evidence that confirms this phenomenon. For example, Vásquez-Urriago et al. (2016) show that being located in an STP increases the likelihood of establishing cooperative links.

Collaboration with universities and other HEIs is particularly important for STPs. Closeness to universities increases the attractiveness and growth of STPs (Ng et al., 2020; Theeranattapong et al., 2021). Strengthening university-industry relations by facilitating the flow of knowledge and technology is a declared objective of STPs. The study of the effects of STPs on the relationship between tenants and universities has been widely discussed in the literature, taking into account that one of the main objectives of STPs is to foster collaboration between both types of agents (Albahari et al., 2017; Link & Scott, 2007). However, Theeranattapong et al. (2021) suggested a further research on university role through studies which may compare between STPs with university presence or not. Several studies find a positive effect of STPs on university-tenant relationships (e.g. Díez-Vial & Fernández-Olmos, 2015; Felsenstein, 1994; Löfsten & Lindelöf, 2002, 2003; Vedovello, 1997).

Moreover, STPs also actively seek to foster the internationalisation of their companies (Tomelin et al., 2018) through services provided to tenants (Albahari et al., 2018) and through the integration of STPs in international networks (Cadorin et al., 2017). Some studies have shown that on-park companies have wider international markets (Löfsten & Lindelöf, 2002).

Thus, we may expect that STPs increase the quality of the patent of their tenants through three main channels: by facilitating collaboration between different agents, by increasing the scientific base of tenants’ inventions through collaboration with universities and by fostering the internationalisation of those inventions.

The channels above can be proxied using the following variables. lInv_number (number of inventors related to the patent) is used as a proxy for the collaborative dimension. This indicator has been acknowledged to be positively correlated with patent quality (Guellec & Van Pottelsberghe De La Potterie, 2000; Guellec & Van Pottelsberghe de la Potterie, 2002; Schettino et al., 2013). UniversityFootnote 19 (dummy variable that takes the value of 1 if a university is a co-applicant of the patent and zero otherwise) is used as a proxy for the level of the scientific knowledge base of a patent. Patents with academic participation have also been found to be of higher quality (Fleming & Sorenson, 2004; Harhoff et al., 1999; Jung & Lee, 2016; Sapsalis et al., 2006). lFamily_size (number of patent offices where an invention is protected) is used as a proxy for the international dimension in the commercialisation of inventions and the international strategies of patent applicants to commercialise or exploit inventions, either directly or via licensing agreements (Martínez, 2011). This indicator has also been acknowledged to reflect perceived patent quality (Putnam, 1997; Lanjouw et al., 1998; Harhoff et al., 2003; Gambardella et al., 2008; van Zeebroeck & van Pottelsberghe de la Potterie, 2011a).

In Table 9, we can see that on-park patents tend to be more collaborative (with an average of 3.3 inventors) than off-park patents (average of 2.5 inventors). In addition, they are more likely to include a university as a co-applicant (3.6% of on-park patents and 0.4% of off-park patents). Finally, they are less international, so patent protection is sought in fewer countries for the same invention (average of 5.2 patent family size on-park and 5.7 off-park), although this difference is significant when the variable is without logs and non-significant in logs.

Table 9 Description of channels variables

Table 10 shows the results related to forward citation, and Table 11 shows the results related to renewal when the three potential channels are included. In both tables, Column (1) sets out the results of the OLS model detailed in Sect. 4.1; Column (2) presents the estimated results by including in the model the variable used to estimate the collaborative nature of the patent; Column (3) shows the results when we include in the model the variables used to estimate the scientific base of the patent; Column (4) presents the result by including in the model the variable used to estimate the internationalisation of the patent; Column (5) shows the results when we include both collaboration and scientific base of the patent to estimate them; and Column (6) finally presents the results when we include the three potential channels.

Table 10 Relationship of STP channels to forward citations
Table 11 Relationship of STP channels to renewals

Regarding forward citations, we observe that the STP effect decreases by 6.5% in Column (2) and Column (3). This indicates that the number of inventors and the relationship with the university show up as possible channels to partly explain the STP effect found. The opposite happens if we look at Column (4) as the STP effect increases by 7.5%. This finding indicates that internationalisation may not be a channel for explaining STP effect. Actually, as the relationship between STP location and internationalisation is negative, on-park patents get more citations than similar off-park patents despite being less international and the positive effect of internationalisation on citations. In addition, in Column (5), number of inventors and relationship with university are both included, and together they explain 11.8% of the STP effect. Column (6) shows that both together collaboration and scientific base are the channels with stronger effect. That is, STPs would be facilitating greater collaboration and closer science–industry links, which is in line with the objectives of STPs, and this helps to explain part of their effect on patent forward citations.

As for the results obtained on the influence that channels have on patent renewals (Table 11), we observe that the results in Column (2) show that the effect decreases about 15.2%. Therefore, a greater collaboration partially explains the STP effect found. However, exploring the relationship with the university, we find that the result in Column (3) does not show any variation in the effect, so it cannot be considered a possible channel of influence of STPs on patent renewal. Renewals follow a pattern similar to that of forward citations: we observe in Column (5) that on-park patents remain in effect more years than similar off-park patents despite being less international. In this sense, Column (6) includes all the three possible channels for the effect of STPs and shows that internationalisation is the channel with lightly stronger effect, above the other two channels.

To sum up, the results obtained for both indicators of patent quality indicate that the effect of STPs on the quality of patents can be partly explained by a greater level of collaboration and, only in the case of forward citations, closer science–industry links for patents obtained by tenants.

Finally, we find that patents generated on-park tend to have smaller patent families than those generated off-park. Hence, the effect occurs even though STPs lead to a slightly lower degree of internationalisation in patents.

6 Conclusions

The attention given to STPs as a science, technology and innovation policy tool has been growing over the years, as witnessed by the large number of STPs worldwide and the huge amounts of money invested. However, studies on the effects of STPs on innovation performance tend to use the number of patent applications as an indicator without considering the skewness of the distribution of patent quality and obtain disparate results. This paper estimates the effect of being located in an STP, focusing instead on the patenting quality of tenants, and explores possible channels through which the effect takes place. To this aim, we develop a novel database in which we have identified whether patents are generated on- or off-park in Spain, and we associate firms’ characteristics with each record.

Our results show that being located in an STP has a positive effect on patent quality, with an increase of over 20% in the number of citations received and around 7% in the number of years the patent remains in effect. These results support the literature that finds that being located in STPs would lead to a positive effect on firms’ innovation performance.

Our identification strategy relies on the ‘ignorability assumption’; that is, after introducing our set of firm and patent controls, there are no additional confounding factors. This is a strong assumption and can lead to overestimation of STP effect if some firm characteristics that increase the likelihood of STP location also influence patent quality (e.g. R&D intensity). We address this limitation by using a novel econometric technique to estimate the possible overestimation of the effect (Cinelli & Hazlett, 2020) and performing some robustness checks to show the consistency of the STP effect found in our study. We show that, actually, our results are a conservative estimation of the STP effect.

We also provide evidence of the channels through which STPs increase the likelihood of obtaining higher-quality patents. Around 12.6% of the STP effect on the number of citations is explained by the fact that patents developed on-park are more collaborative (larger inventor teams) and show greater participation of universities (university co-applicants) than patents developed off-park. Regarding the number of years the patent remains in effect, we find that around 15% of the STP effect is explained by the more collaborative nature of on-park patents, while university involvement does not play a role in explaining the STP effect on renewals. We also find that the internationalisation channel has the greater effect on the patent quality of tenants, compared to the other two channels considered.

Our findings provide useful insights to STP managers. The positive effect of STPs on the quality of tenants’ patents that we find, suggests another possible argument in favour of the on-park localisation that park managers can use to promote their organisation. At the same time, our findings also suggest possible issues to tackle in the management of these organisations. We find that, among the channels considered, internationalisation is the one having the greater effect; notheless, we also observe that patents of on-park firms tend to be less international than those by off-park firms. This suggest that STPs management teams could still make a stronger effort to encourage and support an international approach of the firms located within their boundaries, acknowledging that the internationalisation of tenants is one of the main objectives of STPs, as recognised by the IASP.

Our results make a relevant contribution to the evaluation of STPs as innovation, science and technology policy. Public policy evaluation should play a very important role in public governance. It contributes to achieving effectiveness and accountability in the decision-making processes of the public sector. Therefore, to analyse the effects of public policies, the design of evaluation mechanisms is necessary. If these policies cannot be evaluated because the mechanisms or instruments have not been designed at the right time, it is essential to at least monitor the results obtained after their implementation, identifying the relevant indicators for each policy. In that context, our paper sheds light on another dimension of the STP effect that has not been taken into account in previous studies, thus contributing to the evaluation of this tool of innovation, science and technology policy.

Finally, our study is not without limitations. We are aware that STPs are essentially heterogeneous (Albahari et al., 2018). STPs differ in terms of maturity (year of creation), available spaces, services provided to tenants, degree of specialisation, and so on, and these different features may have a different impact on tenants. In addition, tenants also have different characteristics, which implies that some may benefit more from locating on-park. The issue of STP and tenant heterogeneity would be an interesting avenue for further research which aims to identify which characteristics of the STPs have a greater influence on the innovation performance of tenants and which firms benefit more from an on-park location. Such research would further contribute to improving our knowledge of STPs as innovation policy instruments.